I have only quark loaded in minecraft 1.12 forge, here is the stack trace.

---- Minecraft Crash Report ----

WARNING: coremods are present:
LoadingPlugin (Quark-Mod-1.12.jar)
Contact their authors BEFORE contacting forge

// Don't be sad, have a hug! <3

Time: 7/29/17 4:45 PM
Description: There was a severe problem during mod loading that has caused the game to fail

net.minecraftforge.fml.common.LoaderExceptionModCrash: Caught exception from Quark (quark)
Caused by: java.lang.NoClassDefFoundError: vazkii/arl/util/RecipeHandler
at vazkii.quark.base.block.BlockQuarkWall.initWall(BlockQuarkWall.java:145)
at vazkii.quark.building.feature.VanillaWalls.add(VanillaWalls.java:70)
at vazkii.quark.building.feature.VanillaWalls.add(VanillaWalls.java:61)
at vazkii.quark.building.feature.ReedBlock.preInit(ReedBlock.java:47)
at vazkii.quark.base.module.Module.lambda$preInit$1(Module.java:128)
at java.util.ArrayList.forEach(ArrayList.java:1249)
at vazkii.quark.base.module.Module.forEachEnabled(Module.java:187)
at vazkii.quark.base.module.Module.preInit(Module.java:128)
at vazkii.quark.base.module.ModuleLoader.lambda$preInit$2(ModuleLoader.java:80)
at java.util.ArrayList.forEach(ArrayList.java:1249)
at vazkii.quark.base.module.ModuleLoader.forEachEnabled(ModuleLoader.java:158)
at vazkii.quark.base.module.ModuleLoader.preInit(ModuleLoader.java:80)
at vazkii.quark.base.proxy.CommonProxy.preInit(CommonProxy.java:31)
at vazkii.quark.base.proxy.ClientProxy.preInit(ClientProxy.java:39)
at vazkii.quark.base.Quark.preInit(Quark.java:35)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.lang.reflect.Method.invoke(Method.java:498)
at net.minecraftforge.fml.common.FMLModContainer.handleModStateEvent(FMLModContainer.java:614)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.lang.reflect.Method.invoke(Method.java:498)
at com.google.common.eventbus.Subscriber.invokeSubscriberMethod(Subscriber.java:91)
at com.google.common.eventbus.Subscriber$SynchronizedSubscriber.invokeSubscriberMethod(Subscriber.java:150)
at com.google.common.eventbus.Subscriber$1.run(Subscriber.java:76)
at com.google.common.util.concurrent.MoreExecutors$DirectExecutor.execute(MoreExecutors.java:399)
at com.google.common.eventbus.Subscriber.dispatchEvent(Subscriber.java:71)
at com.google.common.eventbus.Dispatcher$PerThreadQueuedDispatcher.dispatch(Dispatcher.java:116)
at com.google.common.eventbus.EventBus.post(EventBus.java:217)
at net.minecraftforge.fml.common.LoadController.sendEventToModContainer(LoadController.java:252)
at net.minecraftforge.fml.common.LoadController.propogateStateMessage(LoadController.java:230)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.lang.reflect.Method.invoke(Method.java:498)
at com.google.common.eventbus.Subscriber.invokeSubscriberMethod(Subscriber.java:91)
at com.google.common.eventbus.Subscriber$SynchronizedSubscriber.invokeSubscriberMethod(Subscriber.java:150)
at com.google.common.eventbus.Subscriber$1.run(Subscriber.java:76)
at com.google.common.util.concurrent.MoreExecutors$DirectExecutor.execute(MoreExecutors.java:399)
at com.google.common.eventbus.Subscriber.dispatchEvent(Subscriber.java:71)
at com.google.common.eventbus.Dispatcher$PerThreadQueuedDispatcher.dispatch(Dispatcher.java:116)
at com.google.common.eventbus.EventBus.post(EventBus.java:217)
at net.minecraftforge.fml.common.LoadController.distributeStateMessage(LoadController.java:147)
at net.minecraftforge.fml.common.Loader.preinitializeMods(Loader.java:604)
at net.minecraftforge.fml.client.FMLClientHandler.beginMinecraftLoading(FMLClientHandler.java:266)
at net.minecraft.client.Minecraft.func_71384_a(Minecraft.java:466)
at net.minecraft.client.Minecraft.func_99999_d(Minecraft.java:377)
at net.minecraft.client.main.Main.main(SourceFile:123)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.lang.reflect.Method.invoke(Method.java:498)
at net.minecraft.launchwrapper.Launch.launch(Launch.java:135)
at net.minecraft.launchwrapper.Launch.main(Launch.java:28)
Caused by: java.lang.ClassNotFoundException: vazkii.arl.util.RecipeHandler
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:191)
at java.lang.ClassLoader.loadClass(ClassLoader.java:424)
at java.lang.ClassLoader.loadClass(ClassLoader.java:357)
... 56 more
Caused by: java.lang.NullPointerException
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:182)
... 58 more

A detailed walkthrough of the error, its code path and all known details is as follows:

-- System Details --
Details:
Minecraft Version: 1.12
Operating System: Linux (amd64) version 4.8.0-56-generic
Java Version: 1.8.0_131, Oracle Corporation
Java VM Version: Java HotSpot(TM) 64-Bit Server VM (mixed mode), Oracle Corporation
Memory: 85881544 bytes (81 MB) / 321081344 bytes (306 MB) up to 1060372480 bytes (1011 MB)
JVM Flags: 5 total; -Xmx1G -XX:+UseConcMarkSweepGC -XX:+CMSIncrementalMode -XX:-UseAdaptiveSizePolicy -Xmn128M
IntCache: cache: 0, tcache: 0, allocated: 0, tallocated: 0
FML: MCP 9.40 Powered by Forge 14.21.1.2426 6 mods loaded, 6 mods active
States: 'U' = Unloaded 'L' = Loaded 'C' = Constructed 'H' = Pre-initialized 'I' = Initialized 'J' = Post-initialized 'A' = Available 'D' = Disabled 'E' = Errored
UCH minecraft{1.12} [Minecraft] (minecraft.jar)
UCH mcp{9.19} [Minecraft Coder Pack] (minecraft.jar)
UCH FML{8.0.99.99} [Forge Mod Loader] (forge-1.12-14.21.1.2426.jar)
UCH forge{14.21.1.2426} [Minecraft Forge] (forge-1.12-14.21.1.2426.jar)
UCE quark{r1.2-94} [Quark] (Quark-Mod-1.12.jar)
UCH autoreglib{1.3-13} [AutoRegLib] (AutoRegLib-1.3-13.jar)
Loaded coremods (and transformers):
LoadingPlugin (Quark-Mod-1.12.jar)
vazkii.quark.base.asm.ClassTransformer
GL info: ' Vendor: 'X.Org' Version: '3.0 Mesa 12.0.6' Renderer: 'Gallium 0.4 on AMD RS880 (DRM 2.46.0 / 4.8.0-56-generic, LLVM 3.8.0)'

Looking at your file names, you've gotten quark from an illegitimate mod download website. Websites such as 9minecraft, or mc-mod will distribute older versions of mods without permission from the authors, in an attempt to make a quick buck from ads, and will end up in problems like these.

The correct places to download the mod can be found in the website. Please avoid any non-official sources.