0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.12/0.37	% Computer : n021.cluster.edu
0.12/0.37	% Model    : x86_64 x86_64
0.12/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.37	% Memory   : 8046.5625MB
0.12/0.37	% OS       : Linux 6.8.0-71-generic
0.12/0.37	% CPULimit : 1440
0.12/0.37	% WCLimit  : 180
0.12/0.37	% DateTime : Mon Jul 27 09:46:23 UTC 2026
0.12/0.38	% CPUTime  : 
0.12/0.38	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.12/0.41	Running higher-order theorem proving
0.12/0.43	Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.19/0.49	% (636528)Detected a higher-order problem, will run a greedy HOL sequence.
0.19/0.49	% (636539)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.19/0.49	% (636539)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
0.19/0.49	% (636534)lrs+10_16_si=on:nwc=1.5:random_seed=3591382473:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi)
0.19/0.49	% (636535)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2055837351:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.19/0.49	% (636536)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1557765610:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1799 on theBenchmark for (1799ds/634Mi)
0.19/0.49	% (636533)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1196082647:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.19/0.49	% (636538)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1868142947:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi)
0.19/0.49	% (636537)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2474799233:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.19/0.49	% (636539)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3872176804:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.19/0.49	% (636535)Instruction limit reached! 
0.19/0.49	% (636535)------------------------------
0.19/0.49	% (636535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.19/0.49	% (636535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.49	% (636535)CaDiCaL version: 2.1.3
0.19/0.49	% (636535)Termination reason: Instruction limit
0.19/0.49	% (636535)Termination phase: Saturation
0.19/0.49	% (636535)Time elapsed: 0.003 s
0.19/0.49	% (636535)Peak memory usage: 11 MB
0.19/0.49	% (636535)Instructions burned: 5 (million)
0.19/0.49	% (636533) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-636528-636533"...
0.19/0.49	% (636534)Instruction limit reached! 
0.19/0.49	% (636534)------------------------------
0.19/0.49	% (636534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.19/0.49	% (636534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.49	% (636534)CaDiCaL version: 2.1.3
0.19/0.49	% (636534)Termination reason: Instruction limit
0.19/0.49	% (636534)Termination phase: Saturation
0.19/0.49	% (636534)Time elapsed: 0.011 s
0.19/0.49	% (636534)Peak memory usage: 12 MB
0.19/0.49	% (636534)Instructions burned: 18 (million)
0.19/0.49	% (636538) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-636528-636538"...
0.19/0.49	% (636537)Instruction limit reached! 
0.19/0.49	% (636537)------------------------------
0.19/0.49	% (636537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.19/0.49	% (636537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.49	% (636537)CaDiCaL version: 2.1.3
0.19/0.49	% (636537)Termination reason: Instruction limit
0.19/0.49	% (636537)Termination phase: Saturation
0.19/0.49	% (636537)Time elapsed: 0.013 s
0.19/0.49	% (636537)Peak memory usage: 11 MB
0.19/0.49	% (636537)Instructions burned: 24 (million)
0.19/0.49	% (636533)...printing done.
0.19/0.49	% (636533)Refutation found. Thanks to Tanya!
0.19/0.49	% SZS status Theorem for theBenchmark
0.19/0.49	% SZS output start Proof for theBenchmark
0.19/0.49	thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
0.19/0.49	thf(func_def_0, type, eats: ($i > $i > $o)).
0.19/0.49	thf(func_def_1, type, grain: ($i > $o)).
0.19/0.49	thf(func_def_2, type, animal: ($i > $o)).
0.19/0.49	thf(func_def_3, type, snail: ($i > $o)).
0.19/0.49	thf(func_def_4, type, sf: ($i > $i)).
0.19/0.49	thf(func_def_5, type, plant: ($i > $o)).
0.19/0.49	thf(func_def_6, type, bird: ($i > $o)).
0.19/0.49	thf(func_def_7, type, wolf: ($i > $o)).
0.19/0.49	thf(func_def_8, type, fox: ($i > $o)).
0.19/0.49	thf(func_def_9, type, msmaller: ($i > $i > $o)).
0.19/0.49	thf(f1,conjecture,(
0.19/0.49	  ~(! [X7 : $i,X6 : $i] : (~(wolf @ X7) | ~(fox @ X6) | (msmaller @ X6 @ X7)) & (bird @ a_bird) & ! [X3 : $i,X5 : $i] : ((msmaller @ X3 @ X5) | ~(bird @ X5) | ~(snail @ X3)) & ! [X0 : $i] : ((animal @ X0) | ~(wolf @ X0)) & ! [X5 : $i,X3 : $i] : (~(bird @ X5) | ~(snail @ X3) | ~(eats @ X5 @ X3)) & ! [X7 : $i,X6 : $i] : (~(wolf @ X7) | ~(eats @ X7 @ X6) | ~(fox @ X6)) & ! [X0 : $i] : (~(grain @ X0) | (plant @ X0)) & ! [X7 : $i,X8 : $i] : (~(eats @ X7 @ X8) | ~(grain @ X8) | ~(wolf @ X7)) & ! [X0 : $i] : (~(snail @ X0) | (animal @ X0)) & ! [X2 : $i,X3 : $i,X4 : $i,X1 : $i] : ((eats @ X1 @ X3) | ~(msmaller @ X3 @ X1) | ~(eats @ X3 @ X4) | ~(animal @ X3) | ~(plant @ X4) | ~(animal @ X1) | (eats @ X1 @ X2) | ~(plant @ X2)) & ! [X6 : $i,X5 : $i] : (~(fox @ X6) | (msmaller @ X5 @ X6) | ~(bird @ X5)) & (fox @ a_fox) & ! [X1 : $i,X9 : $i,X8 : $i] : (~(eats @ X1 @ X9) | ~(animal @ X9) | ~(grain @ X8) | ~(animal @ X1) | ~(eats @ X9 @ X8)) & ! [X3 : $i] : ((eats @ X3 @ (sf @ X3)) | ~(snail @ X3)) & ! [X3 : $i] : (~(snail @ X3) | (plant @ (sf @ X3))) & ! [X0 : $i] : ((animal @ X0) | ~(bird @ X0)) & (snail @ a_snail) & ! [X0 : $i] : ((animal @ X0) | ~(fox @ X0)) & (wolf @ a_wolf) & (grain @ a_grain))),
0.19/0.49	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPUZ031_2)).
0.19/0.49	thf(f2,negated_conjecture,(
0.19/0.49	  ~ ~(! [X7 : $i,X6 : $i] : (~(wolf @ X7) | ~(fox @ X6) | (msmaller @ X6 @ X7)) & (bird @ a_bird) & ! [X3 : $i,X5 : $i] : ((msmaller @ X3 @ X5) | ~(bird @ X5) | ~(snail @ X3)) & ! [X0 : $i] : ((animal @ X0) | ~(wolf @ X0)) & ! [X5 : $i,X3 : $i] : (~(bird @ X5) | ~(snail @ X3) | ~(eats @ X5 @ X3)) & ! [X7 : $i,X6 : $i] : (~(wolf @ X7) | ~(eats @ X7 @ X6) | ~(fox @ X6)) & ! [X0 : $i] : (~(grain @ X0) | (plant @ X0)) & ! [X7 : $i,X8 : $i] : (~(eats @ X7 @ X8) | ~(grain @ X8) | ~(wolf @ X7)) & ! [X0 : $i] : (~(snail @ X0) | (animal @ X0)) & ! [X2 : $i,X3 : $i,X4 : $i,X1 : $i] : ((eats @ X1 @ X3) | ~(msmaller @ X3 @ X1) | ~(eats @ X3 @ X4) | ~(animal @ X3) | ~(plant @ X4) | ~(animal @ X1) | (eats @ X1 @ X2) | ~(plant @ X2)) & ! [X6 : $i,X5 : $i] : (~(fox @ X6) | (msmaller @ X5 @ X6) | ~(bird @ X5)) & (fox @ a_fox) & ! [X1 : $i,X9 : $i,X8 : $i] : (~(eats @ X1 @ X9) | ~(animal @ X9) | ~(grain @ X8) | ~(animal @ X1) | ~(eats @ X9 @ X8)) & ! [X3 : $i] : ((eats @ X3 @ (sf @ X3)) | ~(snail @ X3)) & ! [X3 : $i] : (~(snail @ X3) | (plant @ (sf @ X3))) & ! [X0 : $i] : ((animal @ X0) | ~(bird @ X0)) & (snail @ a_snail) & ! [X0 : $i] : ((animal @ X0) | ~(fox @ X0)) & (wolf @ a_wolf) & (grain @ a_grain))),
0.19/0.49	  inference(negated_conjecture,[status(cth)],[f1])).
0.19/0.49	thf(f3,plain,(
0.19/0.49	  ~ ~(! [X0 : $i,X1 : $i] : (~(wolf @ X0) | ~(fox @ X1) | (msmaller @ X1 @ X0)) & (bird @ a_bird) & ! [X2 : $i,X3 : $i] : ((msmaller @ X2 @ X3) | ~(bird @ X3) | ~(snail @ X2)) & ! [X4 : $i] : ((animal @ X4) | ~(wolf @ X4)) & ! [X5 : $i,X6 : $i] : (~(bird @ X5) | ~(snail @ X6) | ~(eats @ X5 @ X6)) & ! [X7 : $i,X8 : $i] : (~(wolf @ X7) | ~(eats @ X7 @ X8) | ~(fox @ X8)) & ! [X9 : $i] : (~(grain @ X9) | (plant @ X9)) & ! [X10 : $i,X11 : $i] : (~(eats @ X10 @ X11) | ~(grain @ X11) | ~(wolf @ X10)) & ! [X12 : $i] : (~(snail @ X12) | (animal @ X12)) & ! [X13 : $i,X14 : $i,X15 : $i,X16 : $i] : ((eats @ X16 @ X14) | ~(msmaller @ X14 @ X16) | ~(eats @ X14 @ X15) | ~(animal @ X14) | ~(plant @ X15) | ~(animal @ X16) | (eats @ X16 @ X13) | ~(plant @ X13)) & ! [X17 : $i,X18 : $i] : (~(fox @ X17) | (msmaller @ X18 @ X17) | ~(bird @ X18)) & (fox @ a_fox) & ! [X19 : $i,X20 : $i,X21 : $i] : (~(eats @ X19 @ X20) | ~(animal @ X20) | ~(grain @ X21) | ~(animal @ X19) | ~(eats @ X20 @ X21)) & ! [X22 : $i] : ((eats @ X22 @ (sf @ X22)) | ~(snail @ X22)) & ! [X23 : $i] : (~(snail @ X23) | (plant @ (sf @ X23))) & ! [X24 : $i] : ((animal @ X24) | ~(bird @ X24)) & (snail @ a_snail) & ! [X25 : $i] : ((animal @ X25) | ~(fox @ X25)) & (wolf @ a_wolf) & (grain @ a_grain))),
0.19/0.49	  inference(rectify,[],[f2])).
0.19/0.49	thf(f4,plain,(
0.19/0.49	  ~ ~(! [X0 : $i,X1 : $i] : (~ (((wolf @ X0)) = $true) | ~ ($true = ((fox @ X1))) | ($true = ((msmaller @ X1 @ X0)))) & (((bird @ a_bird)) = $true) & ! [X2 : $i,X3 : $i] : (($true = ((msmaller @ X2 @ X3))) | ~ ($true = ((bird @ X3))) | ~ ($true = ((snail @ X2)))) & ! [X4 : $i] : ((((animal @ X4)) = $true) | ~ ($true = ((wolf @ X4)))) & ! [X5 : $i,X6 : $i] : (~ (((bird @ X5)) = $true) | ~ ($true = ((snail @ X6))) | ~ ($true = ((eats @ X5 @ X6)))) & ! [X7 : $i,X8 : $i] : (~ (((wolf @ X7)) = $true) | ~ (((eats @ X7 @ X8)) = $true) | ~ ($true = ((fox @ X8)))) & ! [X9 : $i] : (~ ($true = ((grain @ X9))) | ($true = ((plant @ X9)))) & ! [X10 : $i,X11 : $i] : (~ (((eats @ X10 @ X11)) = $true) | ~ ($true = ((grain @ X11))) | ~ ($true = ((wolf @ X10)))) & ! [X12 : $i] : (~ ($true = ((snail @ X12))) | (((animal @ X12)) = $true)) & ! [X13 : $i,X14 : $i,X15 : $i,X16 : $i] : (($true = ((eats @ X16 @ X14))) | ~ ($true = ((msmaller @ X14 @ X16))) | ~ ($true = ((eats @ X14 @ X15))) | ~ ($true = ((animal @ X14))) | ~ ($true = ((plant @ X15))) | ~ ($true = ((animal @ X16))) | ($true = ((eats @ X16 @ X13))) | ~ ($true = ((plant @ X13)))) & ! [X17 : $i,X18 : $i] : (~ ($true = ((fox @ X17))) | ($true = ((msmaller @ X18 @ X17))) | ~ ($true = ((bird @ X18)))) & (((fox @ a_fox)) = $true) & ! [X19 : $i,X20 : $i,X21 : $i] : (~ ($true = ((eats @ X19 @ X20))) | ~ ($true = ((animal @ X20))) | ~ ($true = ((grain @ X21))) | ~ ($true = ((animal @ X19))) | ~ ($true = ((eats @ X20 @ X21)))) & ! [X22 : $i] : (($true = ((eats @ X22 @ (sf @ X22)))) | ~ (((snail @ X22)) = $true)) & ! [X23 : $i] : (~ ($true = ((snail @ X23))) | (((plant @ (sf @ X23))) = $true)) & ! [X24 : $i] : (($true = ((animal @ X24))) | ~ ($true = ((bird @ X24)))) & (((snail @ a_snail)) = $true) & ! [X25 : $i] : ((((animal @ X25)) = $true) | ~ ($true = ((fox @ X25)))) & (((wolf @ a_wolf)) = $true) & (((grain @ a_grain)) = $true))),
0.19/0.49	  inference(fool_elimination,[],[f3])).
0.19/0.49	thf(f5,plain,(
0.19/0.49	  (((bird @ a_bird)) = $true) & ! [X11 : $i,X10 : $i] : ((((eats @ X10 @ X11)) != $true) | ($true != ((grain @ X11))) | ($true != ((wolf @ X10)))) & (((wolf @ a_wolf)) = $true) & (((snail @ a_snail)) = $true) & ! [X9 : $i] : (($true != ((grain @ X9))) | ($true = ((plant @ X9)))) & ! [X7 : $i,X8 : $i] : ((((wolf @ X7)) != $true) | (((eats @ X7 @ X8)) != $true) | ($true != ((fox @ X8)))) & ! [X24 : $i] : (($true = ((animal @ X24))) | ($true != ((bird @ X24)))) & (((grain @ a_grain)) = $true) & ! [X3 : $i,X2 : $i] : (($true = ((msmaller @ X2 @ X3))) | ($true != ((snail @ X2))) | ($true != ((bird @ X3)))) & ! [X22 : $i] : (($true = ((eats @ X22 @ (sf @ X22)))) | (((snail @ X22)) != $true)) & (((fox @ a_fox)) = $true) & ! [X20 : $i,X21 : $i,X19 : $i] : (($true != ((animal @ X19))) | ($true != ((eats @ X20 @ X21))) | ($true != ((animal @ X20))) | ($true != ((eats @ X19 @ X20))) | ($true != ((grain @ X21)))) & ! [X25 : $i] : (($true != ((fox @ X25))) | (((animal @ X25)) = $true)) & ! [X6 : $i,X5 : $i] : ((((bird @ X5)) != $true) | ($true != ((snail @ X6))) | ($true != ((eats @ X5 @ X6)))) & ! [X23 : $i] : ((((plant @ (sf @ X23))) = $true) | ($true != ((snail @ X23)))) & ! [X1 : $i,X0 : $i] : (($true != ((fox @ X1))) | ($true = ((msmaller @ X1 @ X0))) | (((wolf @ X0)) != $true)) & ! [X12 : $i] : (($true != ((snail @ X12))) | (((animal @ X12)) = $true)) & ! [X17 : $i,X18 : $i] : (($true = ((msmaller @ X18 @ X17))) | ($true != ((bird @ X18))) | ($true != ((fox @ X17)))) & ! [X4 : $i] : ((((animal @ X4)) = $true) | ($true != ((wolf @ X4)))) & ! [X16 : $i,X14 : $i,X15 : $i,X13 : $i] : (($true = ((eats @ X16 @ X13))) | ($true != ((msmaller @ X14 @ X16))) | ($true != ((plant @ X13))) | ($true != ((eats @ X14 @ X15))) | ($true != ((animal @ X14))) | ($true != ((plant @ X15))) | ($true = ((eats @ X16 @ X14))) | ($true != ((animal @ X16))))),
0.19/0.49	  inference(flattening,[],[f4])).
0.19/0.49	thf(f6,plain,(
0.19/0.49	  (((bird @ a_bird)) = $true) & ! [X0 : $i,X1 : $i] : (($true != ((eats @ X1 @ X0))) | (((grain @ X0)) != $true) | ($true != ((wolf @ X1)))) & (((wolf @ a_wolf)) = $true) & (((snail @ a_snail)) = $true) & ! [X2 : $i] : (($true != ((grain @ X2))) | (((plant @ X2)) = $true)) & ! [X3 : $i,X4 : $i] : (($true != ((wolf @ X3))) | (((eats @ X3 @ X4)) != $true) | ($true != ((fox @ X4)))) & ! [X5 : $i] : (($true = ((animal @ X5))) | (((bird @ X5)) != $true)) & (((grain @ a_grain)) = $true) & ! [X6 : $i,X7 : $i] : (($true = ((msmaller @ X7 @ X6))) | ($true != ((snail @ X7))) | ($true != ((bird @ X6)))) & ! [X8 : $i] : (($true = ((eats @ X8 @ (sf @ X8)))) | (((snail @ X8)) != $true)) & (((fox @ a_fox)) = $true) & ! [X9 : $i,X10 : $i,X11 : $i] : (($true != ((animal @ X11))) | ($true != ((eats @ X9 @ X10))) | (((animal @ X9)) != $true) | (((eats @ X11 @ X9)) != $true) | ($true != ((grain @ X10)))) & ! [X12 : $i] : (($true != ((fox @ X12))) | (((animal @ X12)) = $true)) & ! [X13 : $i,X14 : $i] : (($true != ((bird @ X14))) | ($true != ((snail @ X13))) | (((eats @ X14 @ X13)) != $true)) & ! [X15 : $i] : (($true = ((plant @ (sf @ X15)))) | ($true != ((snail @ X15)))) & ! [X16 : $i,X17 : $i] : ((((fox @ X16)) != $true) | ($true = ((msmaller @ X16 @ X17))) | ($true != ((wolf @ X17)))) & ! [X18 : $i] : (($true != ((snail @ X18))) | ($true = ((animal @ X18)))) & ! [X19 : $i,X20 : $i] : (($true = ((msmaller @ X20 @ X19))) | (((bird @ X20)) != $true) | ($true != ((fox @ X19)))) & ! [X21 : $i] : (($true = ((animal @ X21))) | ($true != ((wolf @ X21)))) & ! [X22 : $i,X23 : $i,X24 : $i,X25 : $i] : (($true = ((eats @ X22 @ X25))) | ($true != ((msmaller @ X23 @ X22))) | ($true != ((plant @ X25))) | ($true != ((eats @ X23 @ X24))) | ($true != ((animal @ X23))) | ($true != ((plant @ X24))) | (((eats @ X22 @ X23)) = $true) | ($true != ((animal @ X22))))),
0.19/0.49	  inference(rectify,[],[f5])).
0.19/0.49	thf(f7,plain,(
0.19/0.49	  ( ! [X24 : $i,X22 : $i,X25 : $i,X23 : $i] : (($true != ((msmaller @ X23 @ X22))) | ($true != ((plant @ X24))) | ($true != ((eats @ X23 @ X24))) | (((eats @ X22 @ X23)) = $true) | ($true = ((eats @ X22 @ X25))) | ($true != ((animal @ X22))) | ($true != ((animal @ X23))) | ($true != ((plant @ X25)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f8,plain,(
0.19/0.49	  ( ! [X21 : $i] : (($true != ((wolf @ X21))) | ($true = ((animal @ X21)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f9,plain,(
0.19/0.49	  ( ! [X19 : $i,X20 : $i] : (($true != ((fox @ X19))) | ($true = ((msmaller @ X20 @ X19))) | (((bird @ X20)) != $true)) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f10,plain,(
0.19/0.49	  ( ! [X18 : $i] : (($true != ((snail @ X18))) | ($true = ((animal @ X18)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f11,plain,(
0.19/0.49	  ( ! [X16 : $i,X17 : $i] : (($true != ((wolf @ X17))) | ($true = ((msmaller @ X16 @ X17))) | (((fox @ X16)) != $true)) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f12,plain,(
0.19/0.49	  ( ! [X15 : $i] : (($true != ((snail @ X15))) | ($true = ((plant @ (sf @ X15))))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f13,plain,(
0.19/0.49	  ( ! [X14 : $i,X13 : $i] : ((((eats @ X14 @ X13)) != $true) | ($true != ((snail @ X13))) | ($true != ((bird @ X14)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f14,plain,(
0.19/0.49	  ( ! [X12 : $i] : (($true != ((fox @ X12))) | (((animal @ X12)) = $true)) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f15,plain,(
0.19/0.49	  ( ! [X10 : $i,X11 : $i,X9 : $i] : (($true != ((eats @ X9 @ X10))) | ($true != ((grain @ X10))) | (((eats @ X11 @ X9)) != $true) | (((animal @ X9)) != $true) | ($true != ((animal @ X11)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f16,plain,(
0.19/0.49	  (((fox @ a_fox)) = $true)),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f17,plain,(
0.19/0.49	  ( ! [X8 : $i] : ((((snail @ X8)) != $true) | ($true = ((eats @ X8 @ (sf @ X8))))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f18,plain,(
0.19/0.49	  ( ! [X6 : $i,X7 : $i] : (($true != ((bird @ X6))) | ($true = ((msmaller @ X7 @ X6))) | ($true != ((snail @ X7)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f19,plain,(
0.19/0.49	  (((grain @ a_grain)) = $true)),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f20,plain,(
0.19/0.49	  ( ! [X5 : $i] : ((((bird @ X5)) != $true) | ($true = ((animal @ X5)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f21,plain,(
0.19/0.49	  ( ! [X3 : $i,X4 : $i] : ((((eats @ X3 @ X4)) != $true) | ($true != ((fox @ X4))) | ($true != ((wolf @ X3)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f22,plain,(
0.19/0.49	  ( ! [X2 : $i] : (($true != ((grain @ X2))) | (((plant @ X2)) = $true)) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f23,plain,(
0.19/0.49	  (((snail @ a_snail)) = $true)),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f24,plain,(
0.19/0.49	  (((wolf @ a_wolf)) = $true)),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f25,plain,(
0.19/0.49	  ( ! [X0 : $i,X1 : $i] : (($true != ((eats @ X1 @ X0))) | (((grain @ X0)) != $true) | ($true != ((wolf @ X1)))) )),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f26,plain,(
0.19/0.49	  (((bird @ a_bird)) = $true)),
0.19/0.49	  inference(cnf_transformation,[],[f6])).
0.19/0.49	thf(f29,plain,(
0.19/0.49	  (((animal @ a_wolf)) = $true) | ($true != $true)),
0.19/0.49	  inference(constrained_superposition,[],[f8,f24])).
0.19/0.49	thf(f30,plain,(
0.19/0.49	  (((animal @ a_wolf)) = $true)),
0.19/0.49	  inference(trivial_inequality_removal,[],[f29])).
0.19/0.49	thf(f31,plain,(
0.19/0.49	  ($true != $true) | ($true = ((animal @ a_snail)))),
0.19/0.49	  inference(constrained_superposition,[],[f10,f23])).
0.19/0.49	thf(f32,plain,(
0.19/0.49	  ($true = ((animal @ a_snail)))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f31])).
0.19/0.49	thf(f33,plain,(
0.19/0.49	  ($true != $true) | ($true = ((animal @ a_fox)))),
0.19/0.49	  inference(constrained_superposition,[],[f14,f16])).
0.19/0.49	thf(f34,plain,(
0.19/0.49	  ($true = ((animal @ a_fox)))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f33])).
0.19/0.49	thf(f35,plain,(
0.19/0.49	  ($true != $true) | ($true = ((animal @ a_bird)))),
0.19/0.49	  inference(constrained_superposition,[],[f20,f26])).
0.19/0.49	thf(f36,plain,(
0.19/0.49	  ($true = ((animal @ a_bird)))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f35])).
0.19/0.49	thf(f37,plain,(
0.19/0.49	  ($true = ((plant @ a_grain))) | ($true != $true)),
0.19/0.49	  inference(constrained_superposition,[],[f22,f19])).
0.19/0.49	thf(f38,plain,(
0.19/0.49	  ($true = ((plant @ a_grain)))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f37])).
0.19/0.49	thf(f39,plain,(
0.19/0.49	  ($true != $true) | ($true = ((plant @ (sf @ a_snail))))),
0.19/0.49	  inference(constrained_superposition,[],[f12,f23])).
0.19/0.49	thf(f40,plain,(
0.19/0.49	  ($true = ((plant @ (sf @ a_snail))))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f39])).
0.19/0.49	thf(f41,plain,(
0.19/0.49	  ($true != $true) | ($true = ((eats @ a_snail @ (sf @ a_snail))))),
0.19/0.49	  inference(constrained_superposition,[],[f17,f23])).
0.19/0.49	thf(f42,plain,(
0.19/0.49	  ($true = ((eats @ a_snail @ (sf @ a_snail))))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f41])).
0.19/0.49	thf(f43,plain,(
0.19/0.49	  ( ! [X0 : $i] : (($true = ((msmaller @ X0 @ a_fox))) | ($true != $true) | (((bird @ X0)) != $true)) )),
0.19/0.49	  inference(constrained_superposition,[],[f9,f16])).
0.19/0.49	thf(f44,plain,(
0.19/0.49	  ( ! [X0 : $i] : ((((bird @ X0)) != $true) | ($true = ((msmaller @ X0 @ a_fox)))) )),
0.19/0.49	  inference(trivial_inequality_removal,[],[f43])).
0.19/0.49	thf(f45,plain,(
0.19/0.49	  ($true != $true) | ($true = ((msmaller @ a_bird @ a_fox)))),
0.19/0.49	  inference(constrained_superposition,[],[f44,f26])).
0.19/0.49	thf(f46,plain,(
0.19/0.49	  ($true = ((msmaller @ a_bird @ a_fox)))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f45])).
0.19/0.49	thf(f47,plain,(
0.19/0.49	  ( ! [X0 : $i] : (($true != $true) | (((fox @ X0)) != $true) | ($true = ((msmaller @ X0 @ a_wolf)))) )),
0.19/0.49	  inference(constrained_superposition,[],[f11,f24])).
0.19/0.49	thf(f48,plain,(
0.19/0.49	  ( ! [X0 : $i] : ((((fox @ X0)) != $true) | ($true = ((msmaller @ X0 @ a_wolf)))) )),
0.19/0.49	  inference(trivial_inequality_removal,[],[f47])).
0.19/0.49	thf(f49,plain,(
0.19/0.49	  ($true != $true) | ($true = ((msmaller @ a_fox @ a_wolf)))),
0.19/0.49	  inference(constrained_superposition,[],[f48,f16])).
0.19/0.49	thf(f50,plain,(
0.19/0.49	  ($true = ((msmaller @ a_fox @ a_wolf)))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f49])).
0.19/0.49	thf(f62,plain,(
0.19/0.49	  ( ! [X0 : $i] : (($true = ((msmaller @ X0 @ a_bird))) | ($true != $true) | (((snail @ X0)) != $true)) )),
0.19/0.49	  inference(constrained_superposition,[],[f18,f26])).
0.19/0.49	thf(f63,plain,(
0.19/0.49	  ( ! [X0 : $i] : ((((snail @ X0)) != $true) | ($true = ((msmaller @ X0 @ a_bird)))) )),
0.19/0.49	  inference(trivial_inequality_removal,[],[f62])).
0.19/0.49	thf(f64,plain,(
0.19/0.49	  ($true = ((msmaller @ a_snail @ a_bird))) | ($true != $true)),
0.19/0.49	  inference(constrained_superposition,[],[f63,f23])).
0.19/0.49	thf(f65,plain,(
0.19/0.49	  ($true = ((msmaller @ a_snail @ a_bird)))),
0.19/0.49	  inference(trivial_inequality_removal,[],[f64])).
0.19/0.49	thf(f91,plain,(
0.19/0.49	  ( ! [X0 : $i,X1 : $i] : (($true != ((animal @ a_bird))) | (((plant @ X1)) != $true) | ($true = ((eats @ a_bird @ X1))) | ($true != ((animal @ a_snail))) | ($true != ((eats @ a_snail @ X0))) | ($true != $true) | ($true = ((eats @ a_bird @ a_snail))) | (((plant @ X0)) != $true)) )),
0.19/0.50	  inference(constrained_superposition,[],[f7,f65])).
0.19/0.50	thf(f92,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != ((eats @ a_bird @ X0))) | (((plant @ X1)) != $true) | ($true = ((eats @ a_fox @ a_bird))) | ($true != ((animal @ a_fox))) | ($true != ((animal @ a_bird))) | ($true = ((eats @ a_fox @ X1))) | (((plant @ X0)) != $true)) )),
0.19/0.50	  inference(constrained_superposition,[],[f7,f46])).
0.19/0.50	thf(f93,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true != ((eats @ a_fox @ X0))) | ($true != $true) | ($true = ((eats @ a_wolf @ a_fox))) | ($true = ((eats @ a_wolf @ X1))) | ($true != ((animal @ a_fox))) | (((plant @ X1)) != $true) | (((animal @ a_wolf)) != $true) | (((plant @ X0)) != $true)) )),
0.19/0.50	  inference(constrained_superposition,[],[f7,f50])).
0.19/0.50	thf(f94,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true != ((eats @ a_fox @ X0))) | ($true != ((animal @ a_fox))) | (((plant @ X1)) != $true) | (((animal @ a_wolf)) != $true) | ($true = ((eats @ a_wolf @ a_fox))) | (((plant @ X0)) != $true) | ($true = ((eats @ a_wolf @ X1)))) )),
0.19/0.50	  inference(trivial_inequality_removal,[],[f93])).
0.19/0.50	thf(f95,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true != ((animal @ a_snail))) | ($true != ((animal @ a_bird))) | (((plant @ X1)) != $true) | ($true = ((eats @ a_bird @ a_snail))) | ($true != ((eats @ a_snail @ X0))) | (((plant @ X0)) != $true) | ($true = ((eats @ a_bird @ X1)))) )),
0.19/0.50	  inference(trivial_inequality_removal,[],[f91])).
0.19/0.50	thf(f96,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true != ((eats @ a_bird @ X0))) | ($true != ((animal @ a_bird))) | ($true != ((animal @ a_fox))) | (((plant @ X0)) != $true) | (((plant @ X1)) != $true) | ($true = ((eats @ a_fox @ a_bird))) | ($true = ((eats @ a_fox @ X1)))) )),
0.19/0.50	  inference(trivial_inequality_removal,[],[f92])).
0.19/0.50	thf(f97,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true != ((eats @ a_fox @ X0))) | ($true = ((eats @ a_wolf @ X1))) | (((plant @ X1)) != $true) | (((animal @ a_wolf)) != $true) | ($true = ((eats @ a_wolf @ a_fox))) | (((plant @ X0)) != $true)) )),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f94,f34])).
0.19/0.50	thf(f98,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true = ((eats @ a_bird @ X1))) | (((plant @ X0)) != $true) | ($true = ((eats @ a_bird @ a_snail))) | ($true != ((eats @ a_snail @ X0))) | ($true != ((animal @ a_bird))) | (((plant @ X1)) != $true)) )),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f95,f32])).
0.19/0.50	thf(f99,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true = ((eats @ a_fox @ X1))) | (((plant @ X0)) != $true) | (((plant @ X1)) != $true) | ($true != ((eats @ a_bird @ X0))) | ($true = ((eats @ a_fox @ a_bird))) | ($true != ((animal @ a_fox)))) )),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f96,f36])).
0.19/0.50	thf(f100,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : ((((plant @ X0)) != $true) | ($true = ((eats @ a_wolf @ X1))) | (((plant @ X1)) != $true) | ($true = ((eats @ a_wolf @ a_fox))) | ($true != ((eats @ a_fox @ X0)))) )),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f97,f30])).
0.19/0.50	thf(f101,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : ((((plant @ X0)) != $true) | ($true != ((eats @ a_snail @ X0))) | ($true = ((eats @ a_bird @ a_snail))) | ($true = ((eats @ a_bird @ X1))) | (((plant @ X1)) != $true)) )),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f98,f36])).
0.19/0.50	thf(f102,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true != ((eats @ a_bird @ X0))) | ($true = ((eats @ a_fox @ X1))) | (((plant @ X1)) != $true) | (((plant @ X0)) != $true) | ($true = ((eats @ a_fox @ a_bird)))) )),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f99,f34])).
0.19/0.50	thf(f104,definition,(
0.19/0.50	  spl0_7 <=> ($true = ((eats @ a_wolf @ a_fox)))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
0.19/0.50	thf(f106,plain,(
0.19/0.50	  ($true = ((eats @ a_wolf @ a_fox))) | ~spl0_7),
0.19/0.50	  inference(avatar_component_clause,[],[f104])).
0.19/0.50	thf(f108,definition,(
0.19/0.50	  spl0_8 <=> ! [X0 : $i] : ((((plant @ X0)) != $true) | ($true != ((eats @ a_fox @ X0))))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
0.19/0.50	thf(f109,plain,(
0.19/0.50	  ( ! [X0 : $i] : (($true != ((eats @ a_fox @ X0))) | (((plant @ X0)) != $true)) ) | ~spl0_8),
0.19/0.50	  inference(avatar_component_clause,[],[f108])).
0.19/0.50	thf(f111,definition,(
0.19/0.50	  spl0_9 <=> ! [X1 : $i] : (($true = ((eats @ a_wolf @ X1))) | (((plant @ X1)) != $true))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition])).
0.19/0.50	thf(f112,plain,(
0.19/0.50	  ( ! [X1 : $i] : ((((plant @ X1)) != $true) | ($true = ((eats @ a_wolf @ X1)))) ) | ~spl0_9),
0.19/0.50	  inference(avatar_component_clause,[],[f111])).
0.19/0.50	thf(f113,plain,(
0.19/0.50	  spl0_7 | spl0_8 | spl0_9),
0.19/0.50	  inference(avatar_split_clause,[],[f100,f111,f108,f104])).
0.19/0.50	thf(f115,definition,(
0.19/0.50	  spl0_10 <=> ! [X0 : $i] : ((((plant @ X0)) != $true) | ($true != ((eats @ a_snail @ X0))))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition])).
0.19/0.50	thf(f116,plain,(
0.19/0.50	  ( ! [X0 : $i] : (($true != ((eats @ a_snail @ X0))) | (((plant @ X0)) != $true)) ) | ~spl0_10),
0.19/0.50	  inference(avatar_component_clause,[],[f115])).
0.19/0.50	thf(f118,definition,(
0.19/0.50	  spl0_11 <=> ! [X1 : $i] : (($true = ((eats @ a_bird @ X1))) | (((plant @ X1)) != $true))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition])).
0.19/0.50	thf(f119,plain,(
0.19/0.50	  ( ! [X1 : $i] : ((((plant @ X1)) != $true) | ($true = ((eats @ a_bird @ X1)))) ) | ~spl0_11),
0.19/0.50	  inference(avatar_component_clause,[],[f118])).
0.19/0.50	thf(f121,definition,(
0.19/0.50	  spl0_12 <=> ($true = ((eats @ a_bird @ a_snail)))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition])).
0.19/0.50	thf(f123,plain,(
0.19/0.50	  ($true = ((eats @ a_bird @ a_snail))) | ~spl0_12),
0.19/0.50	  inference(avatar_component_clause,[],[f121])).
0.19/0.50	thf(f124,plain,(
0.19/0.50	  spl0_10 | spl0_11 | spl0_12),
0.19/0.50	  inference(avatar_split_clause,[],[f101,f121,f118,f115])).
0.19/0.50	thf(f126,definition,(
0.19/0.50	  spl0_13 <=> ! [X1 : $i] : (($true = ((eats @ a_fox @ X1))) | (((plant @ X1)) != $true))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition])).
0.19/0.50	thf(f127,plain,(
0.19/0.50	  ( ! [X1 : $i] : ((((plant @ X1)) != $true) | ($true = ((eats @ a_fox @ X1)))) ) | ~spl0_13),
0.19/0.50	  inference(avatar_component_clause,[],[f126])).
0.19/0.50	thf(f129,definition,(
0.19/0.50	  spl0_14 <=> ! [X0 : $i] : (($true != ((eats @ a_bird @ X0))) | (((plant @ X0)) != $true))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition])).
0.19/0.50	thf(f130,plain,(
0.19/0.50	  ( ! [X0 : $i] : ((((plant @ X0)) != $true) | ($true != ((eats @ a_bird @ X0)))) ) | ~spl0_14),
0.19/0.50	  inference(avatar_component_clause,[],[f129])).
0.19/0.50	thf(f132,definition,(
0.19/0.50	  spl0_15 <=> ($true = ((eats @ a_fox @ a_bird)))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition])).
0.19/0.50	thf(f134,plain,(
0.19/0.50	  ($true = ((eats @ a_fox @ a_bird))) | ~spl0_15),
0.19/0.50	  inference(avatar_component_clause,[],[f132])).
0.19/0.50	thf(f135,plain,(
0.19/0.50	  spl0_13 | spl0_14 | spl0_15),
0.19/0.50	  inference(avatar_split_clause,[],[f102,f132,f129,f126])).
0.19/0.50	thf(f138,plain,(
0.19/0.50	  (((fox @ a_fox)) != $true) | ($true != $true) | (((wolf @ a_wolf)) != $true) | ~spl0_7),
0.19/0.50	  inference(constrained_superposition,[],[f21,f106])).
0.19/0.50	thf(f141,plain,(
0.19/0.50	  (((fox @ a_fox)) != $true) | (((wolf @ a_wolf)) != $true) | ~spl0_7),
0.19/0.50	  inference(trivial_inequality_removal,[],[f138])).
0.19/0.50	thf(f145,plain,(
0.19/0.50	  (((wolf @ a_wolf)) != $true) | ~spl0_7),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f141,f16])).
0.19/0.50	thf(f164,plain,(
0.19/0.50	  $false | ~spl0_7),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f145,f24])).
0.19/0.50	thf(f165,plain,(
0.19/0.50	  ~spl0_7),
0.19/0.50	  inference(avatar_contradiction_clause,[],[f164])).
0.19/0.50	thf(f167,plain,(
0.19/0.50	  ( ! [X0 : $i] : ((((plant @ X0)) != $true)) ) | (~spl0_8 | ~spl0_13)),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f109,f127])).
0.19/0.50	thf(f169,plain,(
0.19/0.50	  ($true != $true) | (~spl0_8 | ~spl0_13)),
0.19/0.50	  inference(constrained_superposition,[],[f167,f40])).
0.19/0.50	thf(f172,plain,(
0.19/0.50	  $false | (~spl0_8 | ~spl0_13)),
0.19/0.50	  inference(trivial_inequality_removal,[],[f169])).
0.19/0.50	thf(f173,plain,(
0.19/0.50	  ~spl0_8 | ~spl0_13),
0.19/0.50	  inference(avatar_contradiction_clause,[],[f172])).
0.19/0.50	thf(f174,plain,(
0.19/0.50	  ($true != $true) | ($true = ((eats @ a_wolf @ a_grain))) | ~spl0_9),
0.19/0.50	  inference(constrained_superposition,[],[f112,f38])).
0.19/0.50	thf(f176,plain,(
0.19/0.50	  ($true = ((eats @ a_wolf @ a_grain))) | ~spl0_9),
0.19/0.50	  inference(trivial_inequality_removal,[],[f174])).
0.19/0.50	thf(f179,plain,(
0.19/0.50	  ($true != $true) | (((wolf @ a_wolf)) != $true) | (((grain @ a_grain)) != $true) | ~spl0_9),
0.19/0.50	  inference(constrained_superposition,[],[f25,f176])).
0.19/0.50	thf(f182,plain,(
0.19/0.50	  (((grain @ a_grain)) != $true) | (((wolf @ a_wolf)) != $true) | ~spl0_9),
0.19/0.50	  inference(trivial_inequality_removal,[],[f179])).
0.19/0.50	thf(f186,plain,(
0.19/0.50	  (((wolf @ a_wolf)) != $true) | ~spl0_9),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f182,f19])).
0.19/0.50	thf(f194,plain,(
0.19/0.50	  $false | ~spl0_9),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f186,f24])).
0.19/0.50	thf(f195,plain,(
0.19/0.50	  ~spl0_9),
0.19/0.50	  inference(avatar_contradiction_clause,[],[f194])).
0.19/0.50	thf(f198,plain,(
0.19/0.50	  ($true != $true) | ($true != ((plant @ (sf @ a_snail)))) | ~spl0_10),
0.19/0.50	  inference(constrained_superposition,[],[f116,f42])).
0.19/0.50	thf(f199,plain,(
0.19/0.50	  ($true != ((plant @ (sf @ a_snail)))) | ~spl0_10),
0.19/0.50	  inference(trivial_inequality_removal,[],[f198])).
0.19/0.50	thf(f200,plain,(
0.19/0.50	  $false | ~spl0_10),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f199,f40])).
0.19/0.50	thf(f201,plain,(
0.19/0.50	  ~spl0_10),
0.19/0.50	  inference(avatar_contradiction_clause,[],[f200])).
0.19/0.50	thf(f202,plain,(
0.19/0.50	  ( ! [X1 : $i] : ((((plant @ X1)) != $true)) ) | (~spl0_11 | ~spl0_14)),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f119,f130])).
0.19/0.50	thf(f204,plain,(
0.19/0.50	  ($true != $true) | (~spl0_11 | ~spl0_14)),
0.19/0.50	  inference(constrained_superposition,[],[f202,f40])).
0.19/0.50	thf(f207,plain,(
0.19/0.50	  $false | (~spl0_11 | ~spl0_14)),
0.19/0.50	  inference(trivial_inequality_removal,[],[f204])).
0.19/0.50	thf(f208,plain,(
0.19/0.50	  ~spl0_11 | ~spl0_14),
0.19/0.50	  inference(avatar_contradiction_clause,[],[f207])).
0.19/0.50	thf(f212,plain,(
0.19/0.50	  ($true != $true) | (((bird @ a_bird)) != $true) | (((snail @ a_snail)) != $true) | ~spl0_12),
0.19/0.50	  inference(constrained_superposition,[],[f13,f123])).
0.19/0.50	thf(f215,plain,(
0.19/0.50	  (((bird @ a_bird)) != $true) | (((snail @ a_snail)) != $true) | ~spl0_12),
0.19/0.50	  inference(trivial_inequality_removal,[],[f212])).
0.19/0.50	thf(f227,plain,(
0.19/0.50	  (((snail @ a_snail)) != $true) | ~spl0_12),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f215,f26])).
0.19/0.50	thf(f234,definition,(
0.19/0.50	  spl0_24 <=> ! [X0 : $i] : ((((animal @ X0)) != $true) | ($true != ((eats @ X0 @ a_bird))))),
0.19/0.50	  introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition])).
0.19/0.50	thf(f235,plain,(
0.19/0.50	  ( ! [X0 : $i] : (($true != ((eats @ X0 @ a_bird))) | (((animal @ X0)) != $true)) ) | ~spl0_24),
0.19/0.50	  inference(avatar_component_clause,[],[f234])).
0.19/0.50	thf(f237,plain,(
0.19/0.50	  $false | ~spl0_12),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f227,f23])).
0.19/0.50	thf(f238,plain,(
0.19/0.50	  ~spl0_12),
0.19/0.50	  inference(avatar_contradiction_clause,[],[f237])).
0.19/0.50	thf(f277,plain,(
0.19/0.50	  ($true = ((eats @ a_bird @ a_grain))) | ($true != $true) | ~spl0_11),
0.19/0.50	  inference(constrained_superposition,[],[f119,f38])).
0.19/0.50	thf(f279,plain,(
0.19/0.50	  ($true = ((eats @ a_bird @ a_grain))) | ~spl0_11),
0.19/0.50	  inference(trivial_inequality_removal,[],[f277])).
0.19/0.50	thf(f281,plain,(
0.19/0.50	  ( ! [X0 : $i] : (($true != ((animal @ a_bird))) | (((animal @ X0)) != $true) | ($true != ((eats @ X0 @ a_bird))) | (((grain @ a_grain)) != $true) | ($true != $true)) ) | ~spl0_11),
0.19/0.50	  inference(constrained_superposition,[],[f15,f279])).
0.19/0.50	thf(f285,plain,(
0.19/0.50	  ( ! [X0 : $i] : ((((animal @ X0)) != $true) | ($true != ((eats @ X0 @ a_bird))) | ($true != ((animal @ a_bird))) | (((grain @ a_grain)) != $true)) ) | ~spl0_11),
0.19/0.50	  inference(trivial_inequality_removal,[],[f281])).
0.19/0.50	thf(f289,plain,(
0.19/0.50	  ( ! [X0 : $i] : (($true != ((eats @ X0 @ a_bird))) | (((grain @ a_grain)) != $true) | (((animal @ X0)) != $true)) ) | ~spl0_11),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f285,f36])).
0.19/0.50	thf(f297,plain,(
0.19/0.50	  ( ! [X0 : $i] : ((((animal @ X0)) != $true) | ($true != ((eats @ X0 @ a_bird)))) ) | ~spl0_11),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f289,f19])).
0.19/0.50	thf(f300,plain,(
0.19/0.50	  spl0_24 | ~spl0_11),
0.19/0.50	  inference(avatar_split_clause,[],[f297,f118,f234])).
0.19/0.50	thf(f311,plain,(
0.19/0.50	  ($true != $true) | ($true != ((animal @ a_fox))) | (~spl0_15 | ~spl0_24)),
0.19/0.50	  inference(constrained_superposition,[],[f235,f134])).
0.19/0.50	thf(f312,plain,(
0.19/0.50	  ($true != ((animal @ a_fox))) | (~spl0_15 | ~spl0_24)),
0.19/0.50	  inference(trivial_inequality_removal,[],[f311])).
0.19/0.50	thf(f313,plain,(
0.19/0.50	  $false | (~spl0_15 | ~spl0_24)),
0.19/0.50	  inference(forward_subsumption_resolution,[],[f312,f34])).
0.19/0.50	thf(f314,plain,(
0.19/0.50	  ~spl0_15 | ~spl0_24),
0.19/0.50	  inference(avatar_contradiction_clause,[],[f313])).
0.19/0.50	cnf(s5, plain, spl0_7 | spl0_8 | spl0_9, inference(sat_conversion,[],[f113])).
0.19/0.50	cnf(s6, plain, spl0_10 | spl0_11 | spl0_12, inference(sat_conversion,[],[f124])).
0.19/0.50	cnf(s7, plain, spl0_13 | spl0_14 | spl0_15, inference(sat_conversion,[],[f135])).
0.19/0.50	cnf(s10, plain, ~spl0_7, inference(sat_conversion,[],[f165])).
0.19/0.50	cnf(s13, plain, ~spl0_8 | ~spl0_13, inference(sat_conversion,[],[f173])).
0.19/0.50	cnf(s15, plain, ~spl0_9, inference(sat_conversion,[],[f195])).
0.19/0.50	cnf(s17, plain, ~spl0_10, inference(sat_conversion,[],[f201])).
0.19/0.50	cnf(s19, plain, ~spl0_11 | ~spl0_14, inference(sat_conversion,[],[f208])).
0.19/0.50	cnf(s23, plain, ~spl0_12, inference(sat_conversion,[],[f238])).
0.19/0.50	cnf(s31, plain, ~spl0_11 | spl0_24, inference(sat_conversion,[],[f300])).
0.19/0.50	cnf(s33, plain, ~spl0_15 | ~spl0_24, inference(sat_conversion,[],[f314])).
0.19/0.50	cnf(s34, plain, spl0_11, inference(rat,[],[s6,s23,s17])).
0.19/0.50	cnf(s36, plain, spl0_24, inference(rat,[],[s31,s34])).
0.19/0.50	cnf(s39, plain, ~spl0_14, inference(rat,[],[s19,s34])).
0.19/0.50	cnf(s40, plain, ~spl0_15, inference(rat,[],[s33,s36])).
0.19/0.50	cnf(s41, plain, spl0_13, inference(rat,[],[s7,s40,s39])).
0.19/0.50	cnf(s42, plain, ~spl0_8, inference(rat,[],[s13,s41])).
0.19/0.50	cnf(s43, plain, $false, inference(rat,[],[s5,s15,s42,s10])).
0.19/0.50	thf(f315,plain,(
0.19/0.50	  $false),
0.19/0.50	  inference(avatar_sat_refutation,[],[s43])).
0.19/0.50	% SZS output end Proof for theBenchmark
0.19/0.50	% (636533)------------------------------
0.19/0.50	% (636533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.19/0.50	% (636533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.50	% (636533)CaDiCaL version: 2.1.3
0.19/0.50	% (636533)Termination reason: Refutation
0.19/0.50	% (636533)Time elapsed: 0.012 s
0.19/0.50	% (636533)Peak memory usage: 13 MB
0.19/0.50	% (636533)Instructions burned: 21 (million)
0.19/0.50	% (636528)Success in time 0.058 s
0.19/0.50	% Vampire exiting
0.19/0.50	EOF