0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.36	% Computer : n015.cluster.edu
0.11/0.36	% Model    : x86_64 x86_64
0.11/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.36	% Memory   : 8046.5625MB
0.11/0.36	% OS       : Linux 6.8.0-71-generic
0.11/0.36	% CPULimit : 1440
0.11/0.36	% WCLimit  : 180
0.11/0.36	% DateTime : Mon Jul 27 09:23:50 UTC 2026
0.11/0.37	% CPUTime  : 
0.11/0.37	Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.40	Running higher-order theorem proving
0.11/0.41	Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.17/0.47	% (817684)Detected a higher-order problem, will run a greedy HOL sequence.
0.17/0.47	% (817691)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=184365585:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.17/0.47	% (817691)Instruction limit reached! 
0.17/0.47	% (817691)------------------------------
0.17/0.47	% (817691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.17/0.47	% (817691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.47	% (817691)CaDiCaL version: 2.1.3
0.17/0.47	% (817691)Termination reason: Instruction limit
0.17/0.47	% (817691)Termination phase: Saturation
0.17/0.47	% (817691)Time elapsed: 0.001 s
0.17/0.47	% (817691)Peak memory usage: 11 MB
0.17/0.47	% (817691)Instructions burned: 3 (million)
0.17/0.47	% (817689)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4169024818:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.17/0.47	% (817690)lrs+10_16_si=on:nwc=1.5:random_seed=409629313:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi)
0.17/0.47	% (817692)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=2006624782: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)
0.17/0.47	% (817693)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3642585682:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.17/0.47	% (817694)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2383325328:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi)
0.17/0.47	% (817697)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3009108306:i=2:hud=10:rtra=on_1799 on theBenchmark for (1799ds/2Mi)
0.17/0.47	% (817697)Instruction limit reached! 
0.17/0.47	% (817697)------------------------------
0.17/0.47	% (817697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.17/0.47	% (817697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.47	% (817697)CaDiCaL version: 2.1.3
0.17/0.47	% (817697)Termination reason: Instruction limit
0.17/0.47	% (817697)Termination phase: Property scanning
0.17/0.47	% (817697)Time elapsed: 0.0000 s
0.17/0.47	% (817697)Peak memory usage: 10 MB
0.17/0.47	% (817697)Instructions burned: 2 (million)
0.17/0.47	% (817695)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.17/0.47	% (817695)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
0.17/0.47	% (817693) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-817684-817693"...
0.17/0.47	% (817692) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-817684-817692"...
0.17/0.47	% (817690)Instruction limit reached! 
0.17/0.47	% (817690)------------------------------
0.17/0.47	% (817690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.17/0.47	% (817690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.47	% (817690)CaDiCaL version: 2.1.3
0.17/0.47	% (817690)Termination reason: Instruction limit
0.17/0.47	% (817690)Termination phase: Saturation
0.17/0.47	% (817690)Time elapsed: 0.010 s
0.17/0.47	% (817690)Peak memory usage: 12 MB
0.17/0.47	% (817690)Instructions burned: 19 (million)
0.17/0.47	% (817693)...printing done.
0.17/0.47	% (817695)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=871070788:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.17/0.47	% (817693)Refutation found. Thanks to Tanya!
0.17/0.47	% SZS status Theorem for theBenchmark
0.17/0.47	% SZS output start Proof for theBenchmark
0.17/0.47	thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
0.17/0.47	thf(func_def_0, type, cQ_4: ($i > $i > $i > $o)).
0.17/0.47	thf(func_def_1, type, f: ($i > $i)).
0.17/0.47	thf(func_def_2, type, cP_3: ($i > $i > $o)).
0.17/0.47	thf(func_def_3, type, cQ_3: ($i > $i > $i > $o)).
0.17/0.47	thf(func_def_8, type, cP_2: ($i > $i > $o)).
0.17/0.47	thf(func_def_9, type, cQ_2: ($i > $i > $i > $o)).
0.17/0.47	thf(func_def_10, type, cP_1: ($i > $i > $o)).
0.17/0.47	thf(func_def_11, type, cQ_1: ($i > $i > $i > $o)).
0.17/0.47	thf(f1,conjecture,(
0.17/0.47	  ~((cP_3 @ c @ c) & ! [X5 : $i,X0 : $i,X2 : $i,X3 : $i,X4 : $i,X1 : $i] : (~(cP_3 @ (f @ X0) @ X3) | ~(cP_3 @ (f @ X1) @ X4) | (cQ_4 @ X3 @ X4 @ X5) | ~(cP_3 @ (f @ X2) @ X5) | ~(cQ_3 @ X0 @ X1 @ X2)) & (cP_1 @ b @ b) & ! [X0 : $i] : (cP_3 @ d @ X0) & ! [X0 : $i,X1 : $i] : (~(cP_3 @ X0 @ X1) | (cP_3 @ (f @ X0) @ X1)) & (cQ_1 @ a @ b @ c) & (cP_2 @ b @ b) & (cP_3 @ a @ a) & ! [X0 : $i] : (cP_2 @ d @ X0) & (cP_2 @ a @ a) & (cP_3 @ b @ b) & ! [X2 : $i,X0 : $i,X1 : $i] : ~(cQ_4 @ X0 @ X1 @ X2) & ! [X1 : $i,X0 : $i] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & ! [X3 : $i,X2 : $i,X0 : $i,X1 : $i,X5 : $i,X4 : $i] : (~(cP_2 @ (f @ X0) @ X3) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X1) @ X4) | ~(cP_2 @ (f @ X2) @ X5) | ~(cQ_2 @ X0 @ X1 @ X2)) & ! [X0 : $i] : (cP_1 @ d @ X0) & ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X5 : $i,X4 : $i] : (~(cP_1 @ (f @ X1) @ X4) | (cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X2) @ X5) | ~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X0) @ X3)) & (cP_2 @ c @ c) & ! [X1 : $i,X0 : $i] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & (cP_1 @ c @ c) & (cP_1 @ a @ a))),
0.17/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM409_3)).
0.17/0.47	thf(f2,negated_conjecture,(
0.17/0.47	  ~ ~((cP_3 @ c @ c) & ! [X5 : $i,X0 : $i,X2 : $i,X3 : $i,X4 : $i,X1 : $i] : (~(cP_3 @ (f @ X0) @ X3) | ~(cP_3 @ (f @ X1) @ X4) | (cQ_4 @ X3 @ X4 @ X5) | ~(cP_3 @ (f @ X2) @ X5) | ~(cQ_3 @ X0 @ X1 @ X2)) & (cP_1 @ b @ b) & ! [X0 : $i] : (cP_3 @ d @ X0) & ! [X0 : $i,X1 : $i] : (~(cP_3 @ X0 @ X1) | (cP_3 @ (f @ X0) @ X1)) & (cQ_1 @ a @ b @ c) & (cP_2 @ b @ b) & (cP_3 @ a @ a) & ! [X0 : $i] : (cP_2 @ d @ X0) & (cP_2 @ a @ a) & (cP_3 @ b @ b) & ! [X2 : $i,X0 : $i,X1 : $i] : ~(cQ_4 @ X0 @ X1 @ X2) & ! [X1 : $i,X0 : $i] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & ! [X3 : $i,X2 : $i,X0 : $i,X1 : $i,X5 : $i,X4 : $i] : (~(cP_2 @ (f @ X0) @ X3) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X1) @ X4) | ~(cP_2 @ (f @ X2) @ X5) | ~(cQ_2 @ X0 @ X1 @ X2)) & ! [X0 : $i] : (cP_1 @ d @ X0) & ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X5 : $i,X4 : $i] : (~(cP_1 @ (f @ X1) @ X4) | (cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X2) @ X5) | ~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X0) @ X3)) & (cP_2 @ c @ c) & ! [X1 : $i,X0 : $i] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & (cP_1 @ c @ c) & (cP_1 @ a @ a))),
0.17/0.47	  inference(negated_conjecture,[status(cth)],[f1])).
0.17/0.47	thf(f3,plain,(
0.17/0.47	  ~ ~((cP_3 @ c @ c) & ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i] : (~(cP_3 @ (f @ X1) @ X3) | ~(cP_3 @ (f @ X5) @ X4) | (cQ_4 @ X3 @ X4 @ X0) | ~(cP_3 @ (f @ X2) @ X0) | ~(cQ_3 @ X1 @ X5 @ X2)) & (cP_1 @ b @ b) & ! [X6 : $i] : (cP_3 @ d @ X6) & ! [X7 : $i,X8 : $i] : (~(cP_3 @ X7 @ X8) | (cP_3 @ (f @ X7) @ X8)) & (cQ_1 @ a @ b @ c) & (cP_2 @ b @ b) & (cP_3 @ a @ a) & ! [X9 : $i] : (cP_2 @ d @ X9) & (cP_2 @ a @ a) & (cP_3 @ b @ b) & ! [X10 : $i,X11 : $i,X12 : $i] : ~(cQ_4 @ X11 @ X12 @ X10) & ! [X13 : $i,X14 : $i] : (~(cP_2 @ X14 @ X13) | (cP_2 @ (f @ X14) @ X13)) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i,X19 : $i,X20 : $i] : (~(cP_2 @ (f @ X17) @ X15) | (cQ_3 @ X15 @ X20 @ X19) | ~(cP_2 @ (f @ X18) @ X20) | ~(cP_2 @ (f @ X16) @ X19) | ~(cQ_2 @ X17 @ X18 @ X16)) & ! [X21 : $i] : (cP_1 @ d @ X21) & ! [X22 : $i,X23 : $i,X24 : $i,X25 : $i,X26 : $i,X27 : $i] : (~(cP_1 @ (f @ X23) @ X27) | (cQ_2 @ X25 @ X27 @ X26) | ~(cP_1 @ (f @ X24) @ X26) | ~(cQ_1 @ X22 @ X23 @ X24) | ~(cP_1 @ (f @ X22) @ X25)) & (cP_2 @ c @ c) & ! [X28 : $i,X29 : $i] : (~(cP_1 @ X29 @ X28) | (cP_1 @ (f @ X29) @ X28)) & (cP_1 @ c @ c) & (cP_1 @ a @ a))),
0.17/0.47	  inference(rectify,[],[f2])).
0.17/0.47	thf(f4,plain,(
0.17/0.47	  ~ ~((((cP_3 @ c @ c)) = $true) & ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i] : (~ (((cP_3 @ (f @ X1) @ X3)) = $true) | ~ ($true = ((cP_3 @ (f @ X5) @ X4))) | (((cQ_4 @ X3 @ X4 @ X0)) = $true) | ~ (((cP_3 @ (f @ X2) @ X0)) = $true) | ~ (((cQ_3 @ X1 @ X5 @ X2)) = $true)) & (((cP_1 @ b @ b)) = $true) & ! [X6 : $i] : (((cP_3 @ d @ X6)) = $true) & ! [X7 : $i,X8 : $i] : (~ (((cP_3 @ X7 @ X8)) = $true) | (((cP_3 @ (f @ X7) @ X8)) = $true)) & (((cQ_1 @ a @ b @ c)) = $true) & (((cP_2 @ b @ b)) = $true) & (((cP_3 @ a @ a)) = $true) & ! [X9 : $i] : (((cP_2 @ d @ X9)) = $true) & (((cP_2 @ a @ a)) = $true) & (((cP_3 @ b @ b)) = $true) & ! [X10 : $i,X11 : $i,X12 : $i] : ~ ($true = ((cQ_4 @ X11 @ X12 @ X10))) & ! [X13 : $i,X14 : $i] : (~ (((cP_2 @ X14 @ X13)) = $true) | ($true = ((cP_2 @ (f @ X14) @ X13)))) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i,X19 : $i,X20 : $i] : (~ (((cP_2 @ (f @ X17) @ X15)) = $true) | ($true = ((cQ_3 @ X15 @ X20 @ X19))) | ~ ($true = ((cP_2 @ (f @ X18) @ X20))) | ~ (((cP_2 @ (f @ X16) @ X19)) = $true) | ~ ($true = ((cQ_2 @ X17 @ X18 @ X16)))) & ! [X21 : $i] : ($true = ((cP_1 @ d @ X21))) & ! [X22 : $i,X23 : $i,X24 : $i,X25 : $i,X26 : $i,X27 : $i] : (~ (((cP_1 @ (f @ X23) @ X27)) = $true) | ($true = ((cQ_2 @ X25 @ X27 @ X26))) | ~ ($true = ((cP_1 @ (f @ X24) @ X26))) | ~ ($true = ((cQ_1 @ X22 @ X23 @ X24))) | ~ (((cP_1 @ (f @ X22) @ X25)) = $true)) & (((cP_2 @ c @ c)) = $true) & ! [X28 : $i,X29 : $i] : (~ ($true = ((cP_1 @ X29 @ X28))) | ($true = ((cP_1 @ (f @ X29) @ X28)))) & (((cP_1 @ c @ c)) = $true) & (((cP_1 @ a @ a)) = $true))),
0.17/0.47	  inference(fool_elimination,[],[f3])).
0.17/0.47	thf(f5,plain,(
0.17/0.47	  (((cP_3 @ c @ c)) = $true) & ! [X6 : $i] : (((cP_3 @ d @ X6)) = $true) & (((cP_2 @ a @ a)) = $true) & (((cQ_1 @ a @ b @ c)) = $true) & (((cP_2 @ c @ c)) = $true) & ! [X18 : $i,X17 : $i,X16 : $i,X15 : $i,X19 : $i,X20 : $i] : (($true != ((cQ_2 @ X17 @ X18 @ X16))) | (((cP_2 @ (f @ X17) @ X15)) != $true) | (((cP_2 @ (f @ X16) @ X19)) != $true) | ($true = ((cQ_3 @ X15 @ X20 @ X19))) | ($true != ((cP_2 @ (f @ X18) @ X20)))) & (((cP_1 @ a @ a)) = $true) & ! [X10 : $i,X11 : $i,X12 : $i] : ($true != ((cQ_4 @ X11 @ X12 @ X10))) & ! [X8 : $i,X7 : $i] : ((((cP_3 @ X7 @ X8)) != $true) | (((cP_3 @ (f @ X7) @ X8)) = $true)) & (((cP_1 @ c @ c)) = $true) & ! [X14 : $i,X13 : $i] : ((((cP_2 @ X14 @ X13)) != $true) | ($true = ((cP_2 @ (f @ X14) @ X13)))) & (((cP_3 @ a @ a)) = $true) & ! [X21 : $i] : ($true = ((cP_1 @ d @ X21))) & (((cP_2 @ b @ b)) = $true) & ! [X2 : $i,X5 : $i,X3 : $i,X0 : $i,X4 : $i,X1 : $i] : (($true != ((cP_3 @ (f @ X5) @ X4))) | (((cQ_4 @ X3 @ X4 @ X0)) = $true) | (((cP_3 @ (f @ X2) @ X0)) != $true) | (((cP_3 @ (f @ X1) @ X3)) != $true) | (((cQ_3 @ X1 @ X5 @ X2)) != $true)) & (((cP_3 @ b @ b)) = $true) & ! [X9 : $i] : (((cP_2 @ d @ X9)) = $true) & (((cP_1 @ b @ b)) = $true) & ! [X25 : $i,X27 : $i,X24 : $i,X26 : $i,X22 : $i,X23 : $i] : (($true != ((cQ_1 @ X22 @ X23 @ X24))) | ($true != ((cP_1 @ (f @ X24) @ X26))) | (((cP_1 @ (f @ X22) @ X25)) != $true) | ($true = ((cQ_2 @ X25 @ X27 @ X26))) | (((cP_1 @ (f @ X23) @ X27)) != $true)) & ! [X29 : $i,X28 : $i] : (($true != ((cP_1 @ X29 @ X28))) | ($true = ((cP_1 @ (f @ X29) @ X28))))),
0.17/0.47	  inference(flattening,[],[f4])).
0.17/0.47	thf(f6,plain,(
0.17/0.47	  (((cP_3 @ c @ c)) = $true) & ! [X0 : $i] : (((cP_3 @ d @ X0)) = $true) & (((cP_2 @ a @ a)) = $true) & (((cQ_1 @ a @ b @ c)) = $true) & (((cP_2 @ c @ c)) = $true) & ! [X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i] : (($true != ((cQ_2 @ X2 @ X1 @ X3))) | ($true != ((cP_2 @ (f @ X2) @ X4))) | ($true != ((cP_2 @ (f @ X3) @ X5))) | ($true = ((cQ_3 @ X4 @ X6 @ X5))) | ($true != ((cP_2 @ (f @ X1) @ X6)))) & (((cP_1 @ a @ a)) = $true) & ! [X7 : $i,X8 : $i,X9 : $i] : ($true != ((cQ_4 @ X8 @ X9 @ X7))) & ! [X10 : $i,X11 : $i] : ((((cP_3 @ X11 @ X10)) != $true) | ($true = ((cP_3 @ (f @ X11) @ X10)))) & (((cP_1 @ c @ c)) = $true) & ! [X12 : $i,X13 : $i] : ((((cP_2 @ X12 @ X13)) != $true) | (((cP_2 @ (f @ X12) @ X13)) = $true)) & (((cP_3 @ a @ a)) = $true) & ! [X14 : $i] : ($true = ((cP_1 @ d @ X14))) & (((cP_2 @ b @ b)) = $true) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i,X19 : $i,X20 : $i] : (($true != ((cP_3 @ (f @ X16) @ X19))) | ($true = ((cQ_4 @ X17 @ X19 @ X18))) | ($true != ((cP_3 @ (f @ X15) @ X18))) | (((cP_3 @ (f @ X20) @ X17)) != $true) | ($true != ((cQ_3 @ X20 @ X16 @ X15)))) & (((cP_3 @ b @ b)) = $true) & ! [X21 : $i] : ($true = ((cP_2 @ d @ X21))) & (((cP_1 @ b @ b)) = $true) & ! [X22 : $i,X23 : $i,X24 : $i,X25 : $i,X26 : $i,X27 : $i] : (($true != ((cQ_1 @ X26 @ X27 @ X24))) | (((cP_1 @ (f @ X24) @ X25)) != $true) | ($true != ((cP_1 @ (f @ X26) @ X22))) | ($true = ((cQ_2 @ X22 @ X23 @ X25))) | ($true != ((cP_1 @ (f @ X27) @ X23)))) & ! [X28 : $i,X29 : $i] : (($true != ((cP_1 @ X28 @ X29))) | ($true = ((cP_1 @ (f @ X28) @ X29))))),
0.17/0.47	  inference(rectify,[],[f5])).
0.17/0.47	thf(f7,plain,(
0.17/0.47	  ( ! [X28 : $i,X29 : $i] : (($true = ((cP_1 @ (f @ X28) @ X29))) | ($true != ((cP_1 @ X28 @ X29)))) )),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f8,plain,(
0.17/0.47	  ( ! [X26 : $i,X27 : $i,X24 : $i,X22 : $i,X25 : $i,X23 : $i] : (($true != ((cQ_1 @ X26 @ X27 @ X24))) | ($true != ((cP_1 @ (f @ X26) @ X22))) | ($true = ((cQ_2 @ X22 @ X23 @ X25))) | (((cP_1 @ (f @ X24) @ X25)) != $true) | ($true != ((cP_1 @ (f @ X27) @ X23)))) )),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f9,plain,(
0.17/0.47	  (((cP_1 @ b @ b)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f11,plain,(
0.17/0.47	  (((cP_3 @ b @ b)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f12,plain,(
0.17/0.47	  ( ! [X18 : $i,X19 : $i,X16 : $i,X17 : $i,X15 : $i,X20 : $i] : ((((cP_3 @ (f @ X20) @ X17)) != $true) | ($true = ((cQ_4 @ X17 @ X19 @ X18))) | ($true != ((cQ_3 @ X20 @ X16 @ X15))) | ($true != ((cP_3 @ (f @ X15) @ X18))) | ($true != ((cP_3 @ (f @ X16) @ X19)))) )),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f13,plain,(
0.17/0.47	  (((cP_2 @ b @ b)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f15,plain,(
0.17/0.47	  (((cP_3 @ a @ a)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f16,plain,(
0.17/0.47	  ( ! [X12 : $i,X13 : $i] : ((((cP_2 @ (f @ X12) @ X13)) = $true) | (((cP_2 @ X12 @ X13)) != $true)) )),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f17,plain,(
0.17/0.47	  (((cP_1 @ c @ c)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f18,plain,(
0.17/0.47	  ( ! [X10 : $i,X11 : $i] : (($true = ((cP_3 @ (f @ X11) @ X10))) | (((cP_3 @ X11 @ X10)) != $true)) )),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f19,plain,(
0.17/0.47	  ( ! [X8 : $i,X9 : $i,X7 : $i] : (($true != ((cQ_4 @ X8 @ X9 @ X7)))) )),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f20,plain,(
0.17/0.47	  (((cP_1 @ a @ a)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f21,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true != ((cQ_2 @ X2 @ X1 @ X3))) | ($true != ((cP_2 @ (f @ X1) @ X6))) | ($true != ((cP_2 @ (f @ X3) @ X5))) | ($true = ((cQ_3 @ X4 @ X6 @ X5))) | ($true != ((cP_2 @ (f @ X2) @ X4)))) )),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f22,plain,(
0.17/0.47	  (((cP_2 @ c @ c)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f23,plain,(
0.17/0.47	  (((cQ_1 @ a @ b @ c)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f24,plain,(
0.17/0.47	  (((cP_2 @ a @ a)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f26,plain,(
0.17/0.47	  (((cP_3 @ c @ c)) = $true)),
0.17/0.47	  inference(cnf_transformation,[],[f6])).
0.17/0.47	thf(f28,plain,(
0.17/0.47	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((cP_1 @ (f @ b) @ X1))) | (((cQ_2 @ X0 @ X1 @ X2)) = $true) | ($true != ((cP_1 @ (f @ c) @ X2))) | (((cP_1 @ (f @ a) @ X0)) != $true) | ($true != $true)) )),
0.17/0.47	  inference(superposition,[],[f8,f23])).
0.17/0.47	thf(f29,plain,(
0.17/0.47	  ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((cQ_2 @ X0 @ X1 @ X2)) = $true) | (((cP_1 @ (f @ a) @ X0)) != $true) | ($true != ((cP_1 @ (f @ b) @ X1))) | ($true != ((cP_1 @ (f @ c) @ X2)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f28])).
0.17/0.47	thf(f30,plain,(
0.17/0.47	  ( ! [X18 : $i,X19 : $i,X16 : $i,X17 : $i,X15 : $i,X20 : $i] : (($true != ((cQ_3 @ X20 @ X16 @ X15))) | ($true != ((cP_3 @ (f @ X15) @ X18))) | (((cP_3 @ (f @ X20) @ X17)) != $true) | ($true != ((cP_3 @ (f @ X16) @ X19)))) )),
0.17/0.47	  inference(forward_subsumption_resolution,[],[f12,f19])).
0.17/0.47	thf(f31,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != $true) | ($true != ((cP_2 @ (f @ X0) @ X5))) | (((cP_1 @ (f @ a) @ X0)) != $true) | ($true != ((cP_2 @ (f @ X2) @ X4))) | ($true != ((cP_1 @ (f @ c) @ X2))) | ($true = ((cQ_3 @ X5 @ X3 @ X4))) | ($true != ((cP_1 @ (f @ b) @ X1))) | (((cP_2 @ (f @ X1) @ X3)) != $true)) )),
0.17/0.47	  inference(superposition,[],[f21,f29])).
0.17/0.47	thf(f32,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != ((cP_2 @ (f @ X2) @ X4))) | ($true != ((cP_1 @ (f @ c) @ X2))) | ($true = ((cQ_3 @ X5 @ X3 @ X4))) | (((cP_2 @ (f @ X1) @ X3)) != $true) | ($true != ((cP_2 @ (f @ X0) @ X5))) | (((cP_1 @ (f @ a) @ X0)) != $true) | ($true != ((cP_1 @ (f @ b) @ X1)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f31])).
0.17/0.47	thf(f33,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cP_2 @ X0 @ X1)) != $true) | ($true != $true) | (((cP_1 @ (f @ b) @ X4)) != $true) | (((cP_1 @ (f @ c) @ X0)) != $true) | ($true = ((cQ_3 @ X2 @ X3 @ X1))) | (((cP_2 @ (f @ X5) @ X2)) != $true) | ($true != ((cP_2 @ (f @ X4) @ X3))) | (((cP_1 @ (f @ a) @ X5)) != $true)) )),
0.17/0.47	  inference(superposition,[],[f32,f16])).
0.17/0.47	thf(f34,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cP_2 @ (f @ X5) @ X2)) != $true) | (((cP_1 @ (f @ b) @ X4)) != $true) | (((cP_2 @ X0 @ X1)) != $true) | (((cP_1 @ (f @ a) @ X5)) != $true) | ($true != ((cP_2 @ (f @ X4) @ X3))) | (((cP_1 @ (f @ c) @ X0)) != $true) | ($true = ((cQ_3 @ X2 @ X3 @ X1)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f33])).
0.17/0.47	thf(f35,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cP_2 @ (f @ X2) @ X5)) != $true) | (((cP_1 @ (f @ a) @ X0)) != $true) | (((cP_1 @ (f @ c) @ X3)) != $true) | (((cP_2 @ X3 @ X4)) != $true) | (((cP_2 @ X0 @ X1)) != $true) | ($true != $true) | ($true = ((cQ_3 @ X1 @ X5 @ X4))) | (((cP_1 @ (f @ b) @ X2)) != $true)) )),
0.17/0.47	  inference(superposition,[],[f34,f16])).
0.17/0.47	thf(f36,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cP_2 @ (f @ X2) @ X5)) != $true) | (((cP_2 @ X3 @ X4)) != $true) | (((cP_1 @ (f @ b) @ X2)) != $true) | (((cP_1 @ (f @ c) @ X3)) != $true) | (((cP_1 @ (f @ a) @ X0)) != $true) | (((cP_2 @ X0 @ X1)) != $true) | ($true = ((cQ_3 @ X1 @ X5 @ X4)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f35])).
0.17/0.47	thf(f37,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != $true) | ($true = ((cQ_3 @ X5 @ X1 @ X3))) | ($true != ((cP_1 @ (f @ c) @ X2))) | (((cP_2 @ X0 @ X1)) != $true) | ($true != ((cP_1 @ (f @ b) @ X0))) | ($true != ((cP_2 @ X2 @ X3))) | (((cP_1 @ (f @ a) @ X4)) != $true) | (((cP_2 @ X4 @ X5)) != $true)) )),
0.17/0.47	  inference(superposition,[],[f36,f16])).
0.17/0.47	thf(f38,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cP_1 @ (f @ a) @ X4)) != $true) | ($true != ((cP_1 @ (f @ c) @ X2))) | ($true != ((cP_1 @ (f @ b) @ X0))) | ($true != ((cP_2 @ X2 @ X3))) | (((cP_2 @ X4 @ X5)) != $true) | ($true = ((cQ_3 @ X5 @ X1 @ X3))) | (((cP_2 @ X0 @ X1)) != $true)) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f37])).
0.17/0.47	thf(f39,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != $true) | ($true != ((cP_2 @ X2 @ X5))) | ($true != ((cP_1 @ (f @ c) @ X1))) | ($true != ((cP_2 @ X0 @ X4))) | ($true != ((cP_1 @ a @ X0))) | ($true != ((cP_2 @ X1 @ X3))) | (((cP_1 @ (f @ b) @ X2)) != $true) | ($true = ((cQ_3 @ X4 @ X5 @ X3)))) )),
0.17/0.47	  inference(superposition,[],[f38,f7])).
0.17/0.47	thf(f40,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cP_1 @ (f @ b) @ X2)) != $true) | ($true != ((cP_2 @ X1 @ X3))) | ($true = ((cQ_3 @ X4 @ X5 @ X3))) | ($true != ((cP_2 @ X0 @ X4))) | ($true != ((cP_1 @ (f @ c) @ X1))) | ($true != ((cP_1 @ a @ X0))) | ($true != ((cP_2 @ X2 @ X5)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f39])).
0.17/0.47	thf(f41,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != ((cP_2 @ X1 @ X2))) | ($true != $true) | (((cP_1 @ b @ X0)) != $true) | ($true != ((cP_1 @ (f @ c) @ X1))) | ($true != ((cP_1 @ a @ X5))) | (((cQ_3 @ X3 @ X4 @ X2)) = $true) | ($true != ((cP_2 @ X0 @ X4))) | ($true != ((cP_2 @ X5 @ X3)))) )),
0.17/0.47	  inference(superposition,[],[f40,f7])).
0.17/0.47	thf(f42,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != ((cP_1 @ (f @ c) @ X1))) | (((cQ_3 @ X3 @ X4 @ X2)) = $true) | ($true != ((cP_2 @ X5 @ X3))) | (((cP_1 @ b @ X0)) != $true) | ($true != ((cP_2 @ X0 @ X4))) | ($true != ((cP_2 @ X1 @ X2))) | ($true != ((cP_1 @ a @ X5)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f41])).
0.17/0.47	thf(f43,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cP_1 @ a @ X4)) != $true) | ($true = ((cQ_3 @ X1 @ X2 @ X3))) | ($true != ((cP_2 @ X4 @ X1))) | (((cP_2 @ X5 @ X2)) != $true) | (((cP_1 @ b @ X5)) != $true) | (((cP_1 @ c @ X0)) != $true) | ($true != ((cP_2 @ X0 @ X3))) | ($true != $true)) )),
0.17/0.47	  inference(superposition,[],[f42,f7])).
0.17/0.47	thf(f44,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cP_2 @ X5 @ X2)) != $true) | (((cP_1 @ b @ X5)) != $true) | (((cP_1 @ c @ X0)) != $true) | (((cP_1 @ a @ X4)) != $true) | ($true = ((cQ_3 @ X1 @ X2 @ X3))) | ($true != ((cP_2 @ X4 @ X1))) | ($true != ((cP_2 @ X0 @ X3)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f43])).
0.17/0.47	thf(f47,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != ((cP_2 @ X1 @ X2))) | (((cP_1 @ b @ b)) != $true) | ($true = ((cQ_3 @ X2 @ b @ X3))) | (((cP_1 @ a @ X1)) != $true) | (((cP_1 @ c @ X0)) != $true) | ($true != ((cP_2 @ X0 @ X3)))) )),
0.17/0.47	  inference(superposition,[],[f44,f13])).
0.17/0.47	thf(f53,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != ((cP_2 @ X1 @ X2))) | (((cP_1 @ a @ X1)) != $true) | ($true != ((cP_2 @ X0 @ X3))) | ($true = ((cQ_3 @ X2 @ b @ X3))) | (((cP_1 @ c @ X0)) != $true) | (((cP_1 @ b @ b)) != $true)) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f47])).
0.17/0.47	thf(f55,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((cP_1 @ a @ X1)) != $true) | ($true = ((cQ_3 @ X2 @ b @ X3))) | ($true != ((cP_2 @ X1 @ X2))) | (((cP_1 @ c @ X0)) != $true) | ($true != ((cP_2 @ X0 @ X3)))) )),
0.17/0.47	  inference(forward_subsumption_resolution,[],[f53,f9])).
0.17/0.47	thf(f56,plain,(
0.17/0.47	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((cP_1 @ c @ X2))) | ($true != ((cP_2 @ a @ X0))) | (((cQ_3 @ X0 @ b @ X1)) = $true) | ($true != $true) | ($true != ((cP_2 @ X2 @ X1)))) )),
0.17/0.47	  inference(superposition,[],[f55,f20])).
0.17/0.47	thf(f57,plain,(
0.17/0.47	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((cP_2 @ a @ X0))) | ($true != ((cP_2 @ X2 @ X1))) | (((cQ_3 @ X0 @ b @ X1)) = $true) | ($true != ((cP_1 @ c @ X2)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f56])).
0.17/0.47	thf(f58,plain,(
0.17/0.47	  ( ! [X0 : $i,X1 : $i] : ((((cP_2 @ X0 @ X1)) != $true) | ($true != $true) | (((cP_1 @ c @ X0)) != $true) | ($true = ((cQ_3 @ a @ b @ X1)))) )),
0.17/0.47	  inference(superposition,[],[f57,f24])).
0.17/0.47	thf(f59,plain,(
0.17/0.47	  ( ! [X0 : $i,X1 : $i] : ((((cP_1 @ c @ X0)) != $true) | (((cP_2 @ X0 @ X1)) != $true) | ($true = ((cQ_3 @ a @ b @ X1)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f58])).
0.17/0.47	thf(f60,plain,(
0.17/0.47	  ( ! [X0 : $i] : ((((cQ_3 @ a @ b @ X0)) = $true) | ($true != $true) | ($true != ((cP_2 @ c @ X0)))) )),
0.17/0.47	  inference(superposition,[],[f59,f17])).
0.17/0.47	thf(f61,plain,(
0.17/0.47	  ( ! [X0 : $i] : ((((cQ_3 @ a @ b @ X0)) = $true) | ($true != ((cP_2 @ c @ X0)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f60])).
0.17/0.47	thf(f62,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | (((cP_3 @ (f @ a) @ X2)) != $true) | (((cP_3 @ (f @ X0) @ X1)) != $true) | ($true != ((cP_2 @ c @ X0))) | (((cP_3 @ (f @ b) @ X3)) != $true)) )),
0.17/0.47	  inference(superposition,[],[f30,f61])).
0.17/0.47	thf(f63,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((cP_3 @ (f @ X0) @ X1)) != $true) | (((cP_3 @ (f @ a) @ X2)) != $true) | ($true != ((cP_2 @ c @ X0))) | (((cP_3 @ (f @ b) @ X3)) != $true)) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f62])).
0.17/0.47	thf(f64,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | (((cP_3 @ X0 @ X1)) != $true) | ($true != ((cP_2 @ c @ X0))) | (((cP_3 @ (f @ a) @ X2)) != $true) | (((cP_3 @ (f @ b) @ X3)) != $true)) )),
0.17/0.47	  inference(superposition,[],[f63,f18])).
0.17/0.47	thf(f65,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((cP_3 @ (f @ b) @ X3)) != $true) | ($true != ((cP_2 @ c @ X0))) | (((cP_3 @ (f @ a) @ X2)) != $true) | (((cP_3 @ X0 @ X1)) != $true)) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f64])).
0.17/0.47	thf(f68,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != ((cP_3 @ X1 @ X3))) | ($true != ((cP_2 @ c @ X1))) | ($true != $true) | ($true != ((cP_3 @ b @ X0))) | (((cP_3 @ (f @ a) @ X2)) != $true)) )),
0.17/0.47	  inference(superposition,[],[f65,f18])).
0.17/0.47	thf(f69,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((cP_3 @ (f @ a) @ X2)) != $true) | ($true != ((cP_3 @ b @ X0))) | ($true != ((cP_2 @ c @ X1))) | ($true != ((cP_3 @ X1 @ X3)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f68])).
0.17/0.47	thf(f70,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != ((cP_3 @ X2 @ X3))) | ($true != ((cP_3 @ b @ X1))) | ($true != ((cP_2 @ c @ X2))) | ($true != ((cP_3 @ a @ X0)))) )),
0.17/0.47	  inference(superposition,[],[f69,f18])).
0.17/0.47	thf(f71,plain,(
0.17/0.47	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != ((cP_3 @ a @ X0))) | ($true != ((cP_2 @ c @ X2))) | ($true != ((cP_3 @ X2 @ X3))) | ($true != ((cP_3 @ b @ X1)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f70])).
0.17/0.47	thf(f72,plain,(
0.17/0.47	  ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((cP_3 @ X0 @ X1)) != $true) | ($true != $true) | ($true != ((cP_3 @ b @ X2))) | ($true != ((cP_2 @ c @ X0)))) )),
0.17/0.47	  inference(superposition,[],[f71,f15])).
0.17/0.47	thf(f73,plain,(
0.17/0.47	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((cP_2 @ c @ X0))) | ($true != ((cP_3 @ b @ X2))) | (((cP_3 @ X0 @ X1)) != $true)) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f72])).
0.17/0.47	thf(f74,plain,(
0.17/0.47	  ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((cP_3 @ c @ X1)) != $true) | ($true != ((cP_3 @ b @ X0)))) )),
0.17/0.47	  inference(superposition,[],[f73,f22])).
0.17/0.47	thf(f75,plain,(
0.17/0.47	  ( ! [X0 : $i,X1 : $i] : ((((cP_3 @ c @ X1)) != $true) | ($true != ((cP_3 @ b @ X0)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f74])).
0.17/0.47	thf(f78,plain,(
0.17/0.47	  ( ! [X0 : $i] : (($true != ((cP_3 @ b @ X0))) | ($true != $true)) )),
0.17/0.47	  inference(superposition,[],[f75,f26])).
0.17/0.47	thf(f79,plain,(
0.17/0.47	  ( ! [X0 : $i] : (($true != ((cP_3 @ b @ X0)))) )),
0.17/0.47	  inference(trivial_inequality_removal,[],[f78])).
0.17/0.47	thf(f80,plain,(
0.17/0.47	  ($true != $true)),
0.17/0.47	  inference(superposition,[],[f79,f11])).
0.17/0.47	thf(f81,plain,(
0.17/0.47	  $false),
0.17/0.47	  inference(trivial_inequality_removal,[],[f80])).
0.17/0.47	% SZS output end Proof for theBenchmark
0.17/0.47	% (817693)------------------------------
0.17/0.47	% (817693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.17/0.47	% (817693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.47	% (817693)CaDiCaL version: 2.1.3
0.17/0.47	% (817693)Termination reason: Refutation
0.17/0.47	% (817693)Time elapsed: 0.012 s
0.17/0.47	% (817693)Peak memory usage: 12 MB
0.17/0.47	% (817693)Instructions burned: 23 (million)
0.17/0.47	% (817684)Success in time 0.047 s
0.17/0.47	% Vampire exiting
0.17/0.47	EOF