↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU781^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:31:19 AM UTC 2026

% Result   : Theorem 0.21s 0.30s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU781^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n005.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 14:28:01 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running higher-order theorem proving
% 0.08/0.24  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.30  % (1743164)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.30  % (1743171)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3895525130:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.30  % (1743171)Instruction limit reached! 
% 0.21/0.30  % (1743171)------------------------------
% 0.21/0.30  % (1743171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30  % (1743171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30  % (1743171)CaDiCaL version: 2.1.3
% 0.21/0.30  % (1743171)Termination reason: Instruction limit
% 0.21/0.30  % (1743171)Termination phase: Saturation
% 0.21/0.30  % (1743171)Time elapsed: 0.001 s
% 0.21/0.30  % (1743171)Peak memory usage: 11 MB
% 0.21/0.30  % (1743171)Instructions burned: 3 (million)
% 0.21/0.30  % (1743170)lrs+10_16_si=on:nwc=1.5:random_seed=3381686406:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.30  % (1743169)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1883900923:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.30  % (1743172)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=3501804520: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_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.30  % (1743169) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1743164-1743169"...
% 0.21/0.30  % (1743177)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2953690279:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.30  % (1743172) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1743164-1743172"...
% 0.21/0.30  % (1743177)Instruction limit reached! 
% 0.21/0.30  % (1743177)------------------------------
% 0.21/0.30  % (1743177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30  % (1743177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30  % (1743177)CaDiCaL version: 2.1.3
% 0.21/0.30  % (1743177)Termination reason: Instruction limit
% 0.21/0.30  % (1743177)Termination phase: Property scanning
% 0.21/0.30  % (1743177)Time elapsed: 0.0000 s
% 0.21/0.30  % (1743177)Peak memory usage: 10 MB
% 0.21/0.30  % (1743177)Instructions burned: 2 (million)
% 0.21/0.30  % (1743170) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1743164-1743170"...
% 0.21/0.30  % (1743175)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.30  % (1743175)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
% 0.21/0.30  % (1743169)...printing done.
% 0.21/0.30  % (1743172)...printing done.
% 0.21/0.30  % (1743172)Refutation found. Thanks to Tanya!
% 0.21/0.30  % SZS status Theorem for theBenchmark
% 0.21/0.30  % SZS output start Proof for theBenchmark
% 0.21/0.30  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.30  thf(func_def_0, type, in: ($i > $i > $o)).
% 0.21/0.30  thf(func_def_1, type, subset: ($i > $i > $o)).
% 0.21/0.30  thf(func_def_2, type, kpair: ($i > $i > $i)).
% 0.21/0.30  thf(func_def_3, type, cartprod: ($i > $i > $i)).
% 0.21/0.30  thf(func_def_4, type, breln: ($i > $i > $i > $o)).
% 0.21/0.30  thf(func_def_6, type, breln1: ($i > $i > $o)).
% 0.21/0.30  thf(func_def_7, type, breln1compset: ($i > $i > $i > $i)).
% 0.21/0.30  thf(func_def_8, type, breln1compE: $o).
% 0.21/0.30  thf(func_def_11, type, db1: !>[X0: $tType]:(X0)).
% 0.21/0.30  thf(func_def_12, type, db0: !>[X0: $tType]:(X0)).
% 0.21/0.30  thf(func_def_13, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.21/0.30  thf(func_def_14, type, db2: !>[X0: $tType]:(X0)).
% 0.21/0.30  thf(func_def_20, type, sK5: $o).
% 0.21/0.30  thf(func_def_26, type, sK11: ($i > $i > $i > $i > $i > $i)).
% 0.21/0.30  thf(f3,axiom,(
% 0.21/0.30    (breln1compE = ! [X1 : $i,X0 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((in @ X3 @ X0) => ! [X4 : $i] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X0 @ X1 @ X2)) => ? [X5 : $i] : ((in @ (kpair @ X5 @ X4) @ X2) & (in @ (kpair @ X3 @ X5) @ X1) & (in @ X5 @ X0))))))))),
% 0.21/0.30    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1compE)).
% 0.21/0.30  thf(f4,conjecture,(
% 0.21/0.30    breln1compE => ! [X1 : $i,X0 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((in @ X3 @ X0) => ! [X4 : $i] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X0 @ X1 @ X2)) => ! [X5 : $o] : (! [X6 : $i] : ((in @ X6 @ X0) => ((in @ (kpair @ X3 @ X6) @ X1) => ((in @ (kpair @ X6 @ X4) @ X2) => X5))) => X5))))))),
% 0.21/0.30    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1compEex)).
% 0.21/0.30  thf(f5,negated_conjecture,(
% 0.21/0.30    ~(breln1compE => ! [X1 : $i,X0 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((in @ X3 @ X0) => ! [X4 : $i] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X0 @ X1 @ X2)) => ! [X5 : $o] : (! [X6 : $i] : ((in @ X6 @ X0) => ((in @ (kpair @ X3 @ X6) @ X1) => ((in @ (kpair @ X6 @ X4) @ X2) => X5))) => X5)))))))),
% 0.21/0.30    inference(negated_conjecture,[status(cth)],[f4])).
% 0.21/0.30  thf(f6,plain,(
% 0.21/0.30    ~(breln1compE => ! [X0 : $i,X1 : $i] : ((breln1 @ X1 @ X0) => ! [X2 : $i] : ((breln1 @ X1 @ X2) => ! [X3 : $i] : ((in @ X3 @ X1) => ! [X4 : $i] : ((in @ X4 @ X1) => ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)) => ! [X5 : $o] : (! [X6 : $i] : ((in @ X6 @ X1) => ((in @ (kpair @ X3 @ X6) @ X0) => ((in @ (kpair @ X6 @ X4) @ X2) => X5))) => X5)))))))),
% 0.21/0.30    inference(rectify,[],[f5])).
% 0.21/0.30  thf(f7,plain,(
% 0.21/0.30    ~((breln1compE = $true) => ! [X0 : $i,X1 : $i] : (($true = ((breln1 @ X1 @ X0))) => ! [X2 : $i] : (($true = ((breln1 @ X1 @ X2))) => ! [X3 : $i] : ((((in @ X3 @ X1)) = $true) => ! [X4 : $i] : (($true = ((in @ X4 @ X1))) => (($true = ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)))) => ! [X5 : $o] : (! [X6 : $i] : (($true = ((in @ X6 @ X1))) => ((((in @ (kpair @ X3 @ X6) @ X0)) = $true) => ((((in @ (kpair @ X6 @ X4) @ X2)) = $true) => ($true = X5)))) => ($true = X5))))))))),
% 0.21/0.30    inference(fool_elimination,[],[f6])).
% 0.21/0.30  thf(f8,plain,(
% 0.21/0.30    (breln1compE = ! [X0 : $i,X1 : $i] : ((breln1 @ X1 @ X0) => ! [X2 : $i] : ((breln1 @ X1 @ X2) => ! [X3 : $i] : ((in @ X3 @ X1) => ! [X4 : $i] : ((in @ X4 @ X1) => ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)) => ? [X5 : $i] : ((in @ (kpair @ X5 @ X4) @ X2) & (in @ (kpair @ X3 @ X5) @ X0) & (in @ X5 @ X1))))))))),
% 0.21/0.30    inference(rectify,[],[f3])).
% 0.21/0.30  thf(f9,plain,(
% 0.21/0.30    (breln1compE = $true) <=> ! [X0 : $i,X1 : $i] : (($true = ((breln1 @ X1 @ X0))) => ! [X2 : $i] : (($true = ((breln1 @ X1 @ X2))) => ! [X3 : $i] : ((((in @ X3 @ X1)) = $true) => ! [X4 : $i] : (($true = ((in @ X4 @ X1))) => (($true = ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)))) => ? [X5 : $i] : (($true = ((in @ (kpair @ X3 @ X5) @ X0))) & ($true = ((in @ X5 @ X1))) & (((in @ (kpair @ X5 @ X4) @ X2)) = $true)))))))),
% 0.21/0.30    inference(fool_elimination,[],[f8])).
% 0.21/0.30  thf(f12,plain,(
% 0.21/0.30    ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (? [X3 : $i] : (? [X4 : $i] : ((? [X5 : $o] : (($true != X5) & ! [X6 : $i] : (((($true = X5) | (((in @ (kpair @ X6 @ X4) @ X2)) != $true)) | (((in @ (kpair @ X3 @ X6) @ X0)) != $true)) | ($true != ((in @ X6 @ X1))))) & ($true = ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2))))) & ($true = ((in @ X4 @ X1)))) & (((in @ X3 @ X1)) = $true)) & ($true = ((breln1 @ X1 @ X2)))) & ($true = ((breln1 @ X1 @ X0)))) & (breln1compE = $true)),
% 0.21/0.30    inference(ennf_transformation,[],[f7])).
% 0.21/0.30  thf(f13,plain,(
% 0.21/0.30    (breln1compE = $true) & ? [X0 : $i,X1 : $i] : (($true = ((breln1 @ X1 @ X0))) & ? [X2 : $i] : (? [X3 : $i] : ((((in @ X3 @ X1)) = $true) & ? [X4 : $i] : (? [X5 : $o] : (! [X6 : $i] : (($true != ((in @ X6 @ X1))) | (((in @ (kpair @ X6 @ X4) @ X2)) != $true) | ($true = X5) | (((in @ (kpair @ X3 @ X6) @ X0)) != $true)) & ($true != X5)) & ($true = ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)))) & ($true = ((in @ X4 @ X1))))) & ($true = ((breln1 @ X1 @ X2)))))),
% 0.21/0.30    inference(flattening,[],[f12])).
% 0.21/0.30  thf(f14,plain,(
% 0.21/0.30    (breln1compE = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (! [X3 : $i] : (! [X4 : $i] : ((? [X5 : $i] : (($true = ((in @ (kpair @ X3 @ X5) @ X0))) & ($true = ((in @ X5 @ X1))) & (((in @ (kpair @ X5 @ X4) @ X2)) = $true)) | ($true != ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2))))) | ($true != ((in @ X4 @ X1)))) | (((in @ X3 @ X1)) != $true)) | ($true != ((breln1 @ X1 @ X2)))) | ($true != ((breln1 @ X1 @ X0))))),
% 0.21/0.30    inference(ennf_transformation,[],[f9])).
% 0.21/0.30  thf(f15,plain,(
% 0.21/0.30    (breln1compE = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != ((breln1 @ X1 @ X2))) | ! [X3 : $i] : (! [X4 : $i] : (($true != ((in @ X4 @ X1))) | ($true != ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)))) | ? [X5 : $i] : (($true = ((in @ (kpair @ X3 @ X5) @ X0))) & ($true = ((in @ X5 @ X1))) & (((in @ (kpair @ X5 @ X4) @ X2)) = $true))) | (((in @ X3 @ X1)) != $true))) | ($true != ((breln1 @ X1 @ X0))))),
% 0.21/0.30    inference(flattening,[],[f14])).
% 0.21/0.30  thf(f16,plain,(
% 0.21/0.30    (breln1compE = $true) & ((((breln1 @ sK1 @ sK0)) = $true) & ((($true = ((in @ sK3 @ sK1))) & ((! [X6 : $i] : (($true != ((in @ X6 @ sK1))) | ($true != ((in @ (kpair @ X6 @ sK4) @ sK2))) | ($true = sK5) | (((in @ (kpair @ sK3 @ X6) @ sK0)) != $true)) & ($true != sK5)) & ($true = ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ sK1 @ sK0 @ sK2)))) & ($true = ((in @ sK4 @ sK1))))) & (((breln1 @ sK1 @ sK2)) = $true)))),
% 0.21/0.30    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f13])).
% 0.21/0.30  thf(f17,plain,(
% 0.21/0.30    ((breln1compE = $true) | ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true = ((breln1 @ X1 @ X2))) & ? [X3 : $i] : (? [X4 : $i] : (($true = ((in @ X4 @ X1))) & ($true = ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)))) & ! [X5 : $i] : (($true != ((in @ (kpair @ X3 @ X5) @ X0))) | ($true != ((in @ X5 @ X1))) | (((in @ (kpair @ X5 @ X4) @ X2)) != $true))) & (((in @ X3 @ X1)) = $true))) & ($true = ((breln1 @ X1 @ X0))))) & (! [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != ((breln1 @ X1 @ X2))) | ! [X3 : $i] : (! [X4 : $i] : (($true != ((in @ X4 @ X1))) | ($true != ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)))) | ? [X5 : $i] : (($true = ((in @ (kpair @ X3 @ X5) @ X0))) & ($true = ((in @ X5 @ X1))) & (((in @ (kpair @ X5 @ X4) @ X2)) = $true))) | (((in @ X3 @ X1)) != $true))) | ($true != ((breln1 @ X1 @ X0)))) | (breln1compE != $true))),
% 0.21/0.30    inference(nnf_transformation,[],[f15])).
% 0.21/0.30  thf(f18,plain,(
% 0.21/0.30    ((breln1compE = $true) | ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true = ((breln1 @ X1 @ X2))) & ? [X3 : $i] : (? [X4 : $i] : (($true = ((in @ X4 @ X1))) & ($true = ((in @ (kpair @ X3 @ X4) @ (breln1compset @ X1 @ X0 @ X2)))) & ! [X5 : $i] : (($true != ((in @ (kpair @ X3 @ X5) @ X0))) | ($true != ((in @ X5 @ X1))) | (((in @ (kpair @ X5 @ X4) @ X2)) != $true))) & (((in @ X3 @ X1)) = $true))) & ($true = ((breln1 @ X1 @ X0))))) & (! [X6 : $i,X7 : $i] : (! [X8 : $i] : (($true != ((breln1 @ X7 @ X8))) | ! [X9 : $i] : (! [X10 : $i] : ((((in @ X10 @ X7)) != $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | ? [X11 : $i] : (($true = ((in @ (kpair @ X9 @ X11) @ X6))) & ($true = ((in @ X11 @ X7))) & ($true = ((in @ (kpair @ X11 @ X10) @ X8))))) | ($true != ((in @ X9 @ X7))))) | (((breln1 @ X7 @ X6)) != $true)) | (breln1compE != $true))),
% 0.21/0.30    inference(rectify,[],[f17])).
% 0.21/0.30  thf(f19,plain,(
% 0.21/0.30    ((breln1compE = $true) | (((((breln1 @ sK7 @ sK8)) = $true) & ((($true = ((in @ sK10 @ sK7))) & ($true = ((in @ (kpair @ sK9 @ sK10) @ (breln1compset @ sK7 @ sK6 @ sK8)))) & ! [X5 : $i] : (($true != ((in @ (kpair @ sK9 @ X5) @ sK6))) | ($true != ((in @ X5 @ sK7))) | ($true != ((in @ (kpair @ X5 @ sK10) @ sK8))))) & ($true = ((in @ sK9 @ sK7))))) & ($true = ((breln1 @ sK7 @ sK6))))) & (! [X6 : $i,X7 : $i] : (! [X8 : $i] : (($true != ((breln1 @ X7 @ X8))) | ! [X9 : $i] : (! [X10 : $i] : ((((in @ X10 @ X7)) != $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | ((((in @ (kpair @ X9 @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6)) @ X6)) = $true) & ($true = ((in @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6) @ X7))) & (((in @ (kpair @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6) @ X10) @ X8)) = $true))) | ($true != ((in @ X9 @ X7))))) | (((breln1 @ X7 @ X6)) != $true)) | (breln1compE != $true))),
% 0.21/0.30    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,vAPP]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X11,sK11 @ X10 @ X9 @ X8 @ X7 @ X6)],[f18])).
% 0.21/0.30  thf(f21,plain,(
% 0.21/0.30    (((breln1 @ sK1 @ sK2)) = $true)),
% 0.21/0.30    inference(cnf_transformation,[],[f16])).
% 0.21/0.30  thf(f22,plain,(
% 0.21/0.30    ($true = ((in @ sK4 @ sK1)))),
% 0.21/0.30    inference(cnf_transformation,[],[f16])).
% 0.21/0.30  thf(f23,plain,(
% 0.21/0.30    ($true = ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ sK1 @ sK0 @ sK2))))),
% 0.21/0.30    inference(cnf_transformation,[],[f16])).
% 0.21/0.30  thf(f24,plain,(
% 0.21/0.30    ($true != sK5)),
% 0.21/0.30    inference(cnf_transformation,[],[f16])).
% 0.21/0.30  thf(f25,plain,(
% 0.21/0.30    ( ! [X6 : $i] : (($true != ((in @ X6 @ sK1))) | (((in @ (kpair @ sK3 @ X6) @ sK0)) != $true) | ($true = sK5) | ($true != ((in @ (kpair @ X6 @ sK4) @ sK2)))) )),
% 0.21/0.30    inference(cnf_transformation,[],[f16])).
% 0.21/0.30  thf(f26,plain,(
% 0.21/0.30    ($true = ((in @ sK3 @ sK1)))),
% 0.21/0.30    inference(cnf_transformation,[],[f16])).
% 0.21/0.30  thf(f27,plain,(
% 0.21/0.30    (((breln1 @ sK1 @ sK0)) = $true)),
% 0.21/0.30    inference(cnf_transformation,[],[f16])).
% 0.21/0.30  thf(f28,plain,(
% 0.21/0.30    (breln1compE = $true)),
% 0.21/0.30    inference(cnf_transformation,[],[f16])).
% 0.21/0.30  thf(f29,plain,(
% 0.21/0.30    ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i] : ((breln1compE != $true) | ($true != ((breln1 @ X7 @ X8))) | ($true != ((in @ X9 @ X7))) | (((in @ (kpair @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6) @ X10) @ X8)) = $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | (((in @ X10 @ X7)) != $true) | (((breln1 @ X7 @ X6)) != $true)) )),
% 0.21/0.30    inference(cnf_transformation,[],[f19])).
% 0.21/0.30  thf(f30,plain,(
% 0.21/0.30    ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i] : (($true = ((in @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6) @ X7))) | (((in @ X10 @ X7)) != $true) | ($true != ((breln1 @ X7 @ X8))) | ($true != ((in @ X9 @ X7))) | (((breln1 @ X7 @ X6)) != $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | (breln1compE != $true)) )),
% 0.21/0.30    inference(cnf_transformation,[],[f19])).
% 0.21/0.30  thf(f31,plain,(
% 0.21/0.30    ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i] : (($true != ((in @ X9 @ X7))) | (((in @ (kpair @ X9 @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6)) @ X6)) = $true) | ($true != ((breln1 @ X7 @ X8))) | (((in @ X10 @ X7)) != $true) | (breln1compE != $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | (((breln1 @ X7 @ X6)) != $true)) )),
% 0.21/0.30    inference(cnf_transformation,[],[f19])).
% 0.21/0.30  thf(f47,definition,(
% 0.21/0.30    spl12_2 <=> ! [X10 : $i,X9 : $i,X7 : $i,X6 : $i,X8 : $i] : (($true != ((breln1 @ X7 @ X8))) | (((breln1 @ X7 @ X6)) != $true) | (((in @ X10 @ X7)) != $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | (((in @ (kpair @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6) @ X10) @ X8)) = $true) | ($true != ((in @ X9 @ X7))))),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition])).
% 0.21/0.30  thf(f48,plain,(
% 0.21/0.30    ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i] : ((((in @ (kpair @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6) @ X10) @ X8)) = $true) | ($true != ((in @ X9 @ X7))) | ($true != ((breln1 @ X7 @ X8))) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | (((in @ X10 @ X7)) != $true) | (((breln1 @ X7 @ X6)) != $true)) ) | ~spl12_2),
% 0.21/0.30    inference(avatar_component_clause,[],[f47])).
% 0.21/0.30  thf(f50,definition,(
% 0.21/0.30    spl12_3 <=> (breln1compE = $true)),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition])).
% 0.21/0.30  thf(f53,plain,(
% 0.21/0.30    spl12_2 | ~spl12_3),
% 0.21/0.30    inference(avatar_split_clause,[],[f29,f50,f47])).
% 0.21/0.30  thf(f65,definition,(
% 0.21/0.30    spl12_6 <=> (((breln1 @ sK1 @ sK2)) = $true)),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition])).
% 0.21/0.30  thf(f67,plain,(
% 0.21/0.30    (((breln1 @ sK1 @ sK2)) = $true) | ~spl12_6),
% 0.21/0.30    inference(avatar_component_clause,[],[f65])).
% 0.21/0.30  thf(f68,plain,(
% 0.21/0.30    spl12_6),
% 0.21/0.30    inference(avatar_split_clause,[],[f21,f65])).
% 0.21/0.30  thf(f70,definition,(
% 0.21/0.30    spl12_7 <=> ($true = ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ sK1 @ sK0 @ sK2))))),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition])).
% 0.21/0.30  thf(f72,plain,(
% 0.21/0.30    ($true = ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ sK1 @ sK0 @ sK2)))) | ~spl12_7),
% 0.21/0.30    inference(avatar_component_clause,[],[f70])).
% 0.21/0.30  thf(f73,plain,(
% 0.21/0.30    spl12_7),
% 0.21/0.30    inference(avatar_split_clause,[],[f23,f70])).
% 0.21/0.30  thf(f75,definition,(
% 0.21/0.30    spl12_8 <=> ($true = ((in @ sK4 @ sK1)))),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition])).
% 0.21/0.30  thf(f77,plain,(
% 0.21/0.30    ($true = ((in @ sK4 @ sK1))) | ~spl12_8),
% 0.21/0.30    inference(avatar_component_clause,[],[f75])).
% 0.21/0.30  thf(f78,plain,(
% 0.21/0.30    spl12_8),
% 0.21/0.30    inference(avatar_split_clause,[],[f22,f75])).
% 0.21/0.30  thf(f85,definition,(
% 0.21/0.30    spl12_10 <=> ! [X10 : $i,X9 : $i,X7 : $i,X6 : $i,X8 : $i] : (($true != ((in @ X9 @ X7))) | (((breln1 @ X7 @ X6)) != $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | (((in @ X10 @ X7)) != $true) | ($true != ((breln1 @ X7 @ X8))) | (((in @ (kpair @ X9 @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6)) @ X6)) = $true))),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition])).
% 0.21/0.30  thf(f86,plain,(
% 0.21/0.30    ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i] : ((((in @ (kpair @ X9 @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6)) @ X6)) = $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | (((breln1 @ X7 @ X6)) != $true) | ($true != ((breln1 @ X7 @ X8))) | ($true != ((in @ X9 @ X7))) | (((in @ X10 @ X7)) != $true)) ) | ~spl12_10),
% 0.21/0.30    inference(avatar_component_clause,[],[f85])).
% 0.21/0.30  thf(f87,plain,(
% 0.21/0.30    spl12_10 | ~spl12_3),
% 0.21/0.30    inference(avatar_split_clause,[],[f31,f50,f85])).
% 0.21/0.30  thf(f88,plain,(
% 0.21/0.30    spl12_3),
% 0.21/0.30    inference(avatar_split_clause,[],[f28,f50])).
% 0.21/0.30  thf(f90,definition,(
% 0.21/0.30    spl12_11 <=> (((breln1 @ sK1 @ sK0)) = $true)),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition])).
% 0.21/0.30  thf(f92,plain,(
% 0.21/0.30    (((breln1 @ sK1 @ sK0)) = $true) | ~spl12_11),
% 0.21/0.30    inference(avatar_component_clause,[],[f90])).
% 0.21/0.30  thf(f93,plain,(
% 0.21/0.30    spl12_11),
% 0.21/0.30    inference(avatar_split_clause,[],[f27,f90])).
% 0.21/0.30  thf(f104,definition,(
% 0.21/0.30    spl12_14 <=> ($true = sK5)),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition])).
% 0.21/0.30  thf(f107,plain,(
% 0.21/0.30    ~spl12_14),
% 0.21/0.30    inference(avatar_split_clause,[],[f24,f104])).
% 0.21/0.30  thf(f119,definition,(
% 0.21/0.30    spl12_17 <=> ! [X6 : $i] : (($true != ((in @ X6 @ sK1))) | ($true != ((in @ (kpair @ X6 @ sK4) @ sK2))) | (((in @ (kpair @ sK3 @ X6) @ sK0)) != $true))),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition])).
% 0.21/0.30  thf(f120,plain,(
% 0.21/0.30    ( ! [X6 : $i] : (($true != ((in @ (kpair @ X6 @ sK4) @ sK2))) | (((in @ (kpair @ sK3 @ X6) @ sK0)) != $true) | ($true != ((in @ X6 @ sK1)))) ) | ~spl12_17),
% 0.21/0.30    inference(avatar_component_clause,[],[f119])).
% 0.21/0.30  thf(f121,plain,(
% 0.21/0.30    spl12_14 | spl12_17),
% 0.21/0.30    inference(avatar_split_clause,[],[f25,f119,f104])).
% 0.21/0.30  thf(f123,definition,(
% 0.21/0.30    spl12_18 <=> ($true = ((in @ sK3 @ sK1)))),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition])).
% 0.21/0.30  thf(f125,plain,(
% 0.21/0.30    ($true = ((in @ sK3 @ sK1))) | ~spl12_18),
% 0.21/0.30    inference(avatar_component_clause,[],[f123])).
% 0.21/0.30  thf(f126,plain,(
% 0.21/0.30    spl12_18),
% 0.21/0.30    inference(avatar_split_clause,[],[f26,f123])).
% 0.21/0.30  thf(f128,definition,(
% 0.21/0.30    spl12_19 <=> ! [X10 : $i,X9 : $i,X7 : $i,X6 : $i,X8 : $i] : (($true = ((in @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6) @ X7))) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true) | (((breln1 @ X7 @ X6)) != $true) | ($true != ((in @ X9 @ X7))) | ($true != ((breln1 @ X7 @ X8))) | (((in @ X10 @ X7)) != $true))),
% 0.21/0.30    introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition])).
% 0.21/0.30  thf(f129,plain,(
% 0.21/0.30    ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i] : (($true = ((in @ (sK11 @ X10 @ X9 @ X8 @ X7 @ X6) @ X7))) | ($true != ((in @ X9 @ X7))) | ($true != ((breln1 @ X7 @ X8))) | (((breln1 @ X7 @ X6)) != $true) | (((in @ X10 @ X7)) != $true) | (((in @ (kpair @ X9 @ X10) @ (breln1compset @ X7 @ X6 @ X8))) != $true)) ) | ~spl12_19),
% 0.21/0.30    inference(avatar_component_clause,[],[f128])).
% 0.21/0.30  thf(f130,plain,(
% 0.21/0.30    ~spl12_3 | spl12_19),
% 0.21/0.30    inference(avatar_split_clause,[],[f30,f128,f50])).
% 0.21/0.30  thf(f158,plain,(
% 0.21/0.30    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ (kpair @ X0 @ sK4) @ (breln1compset @ X1 @ X2 @ sK2)))) | ($true != ((in @ (kpair @ sK3 @ (sK11 @ sK4 @ X0 @ sK2 @ X1 @ X2)) @ sK0))) | ($true != ((in @ sK4 @ X1))) | ($true != ((in @ X0 @ X1))) | ($true != $true) | (((in @ (sK11 @ sK4 @ X0 @ sK2 @ X1 @ X2) @ sK1)) != $true) | (((breln1 @ X1 @ sK2)) != $true) | ($true != ((breln1 @ X1 @ X2)))) ) | (~spl12_2 | ~spl12_17)),
% 0.21/0.30    inference(superposition,[],[f120,f48])).
% 0.21/0.30  thf(f159,plain,(
% 0.21/0.30    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ (kpair @ sK3 @ (sK11 @ sK4 @ X0 @ sK2 @ X1 @ X2)) @ sK0))) | ($true != ((in @ sK4 @ X1))) | ($true != ((in @ X0 @ X1))) | ($true != ((in @ (kpair @ X0 @ sK4) @ (breln1compset @ X1 @ X2 @ sK2)))) | ($true != ((breln1 @ X1 @ X2))) | (((in @ (sK11 @ sK4 @ X0 @ sK2 @ X1 @ X2) @ sK1)) != $true) | (((breln1 @ X1 @ sK2)) != $true)) ) | (~spl12_2 | ~spl12_17)),
% 0.21/0.30    inference(trivial_inequality_removal,[],[f158])).
% 0.21/0.30  thf(f160,plain,(
% 0.21/0.30    ( ! [X0 : $i] : (($true != ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ X0 @ sK0 @ sK2)))) | ($true != $true) | ($true != ((in @ sK3 @ X0))) | ($true != ((breln1 @ X0 @ sK0))) | (((in @ sK4 @ X0)) != $true) | ($true != ((breln1 @ X0 @ sK2))) | ($true != ((in @ sK3 @ X0))) | ($true != ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ X0 @ sK0 @ sK2)))) | (((in @ (sK11 @ sK4 @ sK3 @ sK2 @ X0 @ sK0) @ sK1)) != $true) | ($true != ((breln1 @ X0 @ sK0))) | (((in @ sK4 @ X0)) != $true) | ($true != ((breln1 @ X0 @ sK2)))) ) | (~spl12_2 | ~spl12_10 | ~spl12_17)),
% 0.21/0.30    inference(superposition,[],[f159,f86])).
% 0.21/0.30  thf(f161,plain,(
% 0.21/0.30    ( ! [X0 : $i] : (($true != ((in @ sK3 @ X0))) | ($true != ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ X0 @ sK0 @ sK2)))) | (((in @ sK4 @ X0)) != $true) | ($true != ((breln1 @ X0 @ sK0))) | ($true != $true) | ($true != ((breln1 @ X0 @ sK2))) | (((in @ (sK11 @ sK4 @ sK3 @ sK2 @ X0 @ sK0) @ sK1)) != $true)) ) | (~spl12_2 | ~spl12_10 | ~spl12_17)),
% 0.21/0.30    inference(duplicate_literal_removal,[],[f160])).
% 0.21/0.30  thf(f162,plain,(
% 0.21/0.30    ( ! [X0 : $i] : ((((in @ (sK11 @ sK4 @ sK3 @ sK2 @ X0 @ sK0) @ sK1)) != $true) | ($true != ((breln1 @ X0 @ sK0))) | (((in @ sK4 @ X0)) != $true) | ($true != ((in @ sK3 @ X0))) | ($true != ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ X0 @ sK0 @ sK2)))) | ($true != ((breln1 @ X0 @ sK2)))) ) | (~spl12_2 | ~spl12_10 | ~spl12_17)),
% 0.21/0.30    inference(trivial_inequality_removal,[],[f161])).
% 0.21/0.30  thf(f163,plain,(
% 0.21/0.30    ($true != ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ sK1 @ sK0 @ sK2)))) | ($true != ((in @ sK3 @ sK1))) | ($true != ((in @ sK4 @ sK1))) | (((breln1 @ sK1 @ sK2)) != $true) | ($true != ((in @ sK4 @ sK1))) | ($true != $true) | (((breln1 @ sK1 @ sK0)) != $true) | ($true != ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ sK1 @ sK0 @ sK2)))) | (((breln1 @ sK1 @ sK0)) != $true) | (((breln1 @ sK1 @ sK2)) != $true) | ($true != ((in @ sK3 @ sK1))) | (~spl12_2 | ~spl12_10 | ~spl12_17 | ~spl12_19)),
% 0.21/0.30    inference(superposition,[],[f162,f129])).
% 0.21/0.30  thf(f164,plain,(
% 0.21/0.30    ($true != ((in @ sK3 @ sK1))) | ($true != ((in @ sK4 @ sK1))) | ($true != ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ sK1 @ sK0 @ sK2)))) | (((breln1 @ sK1 @ sK2)) != $true) | ($true != $true) | (((breln1 @ sK1 @ sK0)) != $true) | (~spl12_2 | ~spl12_10 | ~spl12_17 | ~spl12_19)),
% 0.21/0.30    inference(duplicate_literal_removal,[],[f163])).
% 0.21/0.30  thf(f165,plain,(
% 0.21/0.30    ($true != ((in @ (kpair @ sK3 @ sK4) @ (breln1compset @ sK1 @ sK0 @ sK2)))) | ($true != ((in @ sK4 @ sK1))) | ($true != ((in @ sK3 @ sK1))) | (((breln1 @ sK1 @ sK2)) != $true) | (((breln1 @ sK1 @ sK0)) != $true) | (~spl12_2 | ~spl12_10 | ~spl12_17 | ~spl12_19)),
% 0.21/0.30    inference(trivial_inequality_removal,[],[f164])).
% 0.21/0.30  thf(f166,plain,(
% 0.21/0.30    (((breln1 @ sK1 @ sK2)) != $true) | (((breln1 @ sK1 @ sK0)) != $true) | ($true != ((in @ sK3 @ sK1))) | ($true != ((in @ sK4 @ sK1))) | (~spl12_2 | ~spl12_7 | ~spl12_10 | ~spl12_17 | ~spl12_19)),
% 0.21/0.30    inference(forward_subsumption_resolution,[],[f165,f72])).
% 0.21/0.30  thf(f167,plain,(
% 0.21/0.30    ($true != ((in @ sK4 @ sK1))) | (((breln1 @ sK1 @ sK0)) != $true) | ($true != ((in @ sK3 @ sK1))) | (~spl12_2 | ~spl12_6 | ~spl12_7 | ~spl12_10 | ~spl12_17 | ~spl12_19)),
% 0.21/0.30    inference(forward_subsumption_resolution,[],[f166,f67])).
% 0.21/0.30  thf(f168,plain,(
% 0.21/0.30    (((breln1 @ sK1 @ sK0)) != $true) | ($true != ((in @ sK3 @ sK1))) | (~spl12_2 | ~spl12_6 | ~spl12_7 | ~spl12_8 | ~spl12_10 | ~spl12_17 | ~spl12_19)),
% 0.21/0.30    inference(forward_subsumption_resolution,[],[f167,f77])).
% 0.21/0.30  thf(f169,plain,(
% 0.21/0.30    ($true != ((in @ sK3 @ sK1))) | (~spl12_2 | ~spl12_6 | ~spl12_7 | ~spl12_8 | ~spl12_10 | ~spl12_11 | ~spl12_17 | ~spl12_19)),
% 0.21/0.30    inference(forward_subsumption_resolution,[],[f168,f92])).
% 0.21/0.30  thf(f170,plain,(
% 0.21/0.30    $false | (~spl12_2 | ~spl12_6 | ~spl12_7 | ~spl12_8 | ~spl12_10 | ~spl12_11 | ~spl12_17 | ~spl12_18 | ~spl12_19)),
% 0.21/0.30    inference(forward_subsumption_resolution,[],[f169,f125])).
% 0.21/0.30  thf(f171,plain,(
% 0.21/0.30    ~spl12_2 | ~spl12_6 | ~spl12_7 | ~spl12_8 | ~spl12_10 | ~spl12_11 | ~spl12_17 | ~spl12_18 | ~spl12_19),
% 0.21/0.30    inference(avatar_contradiction_clause,[],[f170])).
% 0.21/0.30  cnf(s2, plain, spl12_2 | ~spl12_3, inference(sat_conversion,[],[f53])).
% 0.21/0.30  cnf(s5, plain, spl12_6, inference(sat_conversion,[],[f68])).
% 0.21/0.30  cnf(s6, plain, spl12_7, inference(sat_conversion,[],[f73])).
% 0.21/0.30  cnf(s7, plain, spl12_8, inference(sat_conversion,[],[f78])).
% 0.21/0.30  cnf(s9, plain, ~spl12_3 | spl12_10, inference(sat_conversion,[],[f87])).
% 0.21/0.30  cnf(s10, plain, spl12_3, inference(sat_conversion,[],[f88])).
% 0.21/0.30  cnf(s11, plain, spl12_11, inference(sat_conversion,[],[f93])).
% 0.21/0.30  cnf(s14, plain, ~spl12_14, inference(sat_conversion,[],[f107])).
% 0.21/0.30  cnf(s17, plain, spl12_14 | spl12_17, inference(sat_conversion,[],[f121])).
% 0.21/0.30  cnf(s18, plain, spl12_18, inference(sat_conversion,[],[f126])).
% 0.21/0.30  cnf(s19, plain, ~spl12_3 | spl12_19, inference(sat_conversion,[],[f130])).
% 0.21/0.30  cnf(s21, plain, ~spl12_2 | ~spl12_6 | ~spl12_7 | ~spl12_8 | ~spl12_10 | ~spl12_11 | ~spl12_17 | ~spl12_18 | ~spl12_19, inference(sat_conversion,[],[f171])).
% 0.21/0.30  cnf(s23, plain, spl12_17, inference(rat,[],[s17,s14])).
% 0.21/0.30  cnf(s24, plain, spl12_19, inference(rat,[],[s19,s10])).
% 0.21/0.30  cnf(s25, plain, spl12_10, inference(rat,[],[s9,s10])).
% 0.21/0.30  cnf(s26, plain, ~spl12_2, inference(rat,[],[s21,s24,s18,s23,s11,s25,s7,s6,s5])).
% 0.21/0.30  cnf(s27, plain, $false, inference(rat,[],[s2,s10,s26])).
% 0.21/0.30  thf(f172,plain,(
% 0.21/0.30    $false),
% 0.21/0.30    inference(avatar_sat_refutation,[],[s27])).
% 0.21/0.30  % SZS output end Proof for theBenchmark
% 0.21/0.30  % (1743172)------------------------------
% 0.21/0.30  % (1743172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30  % (1743172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30  % (1743172)CaDiCaL version: 2.1.3
% 0.21/0.30  % (1743172)Termination reason: Refutation
% 0.21/0.30  % (1743172)Time elapsed: 0.011 s
% 0.21/0.30  % (1743172)Peak memory usage: 13 MB
% 0.21/0.30  % (1743172)Instructions burned: 18 (million)
% 0.21/0.30  % (1743164)Success in time 0.048 s
% 0.21/0.30  % Vampire exiting
%------------------------------------------------------------------------------