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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP591-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 : Tue Sep 29 10:14:56 AM UTC 2026

% Result   : Unsatisfiable 0.15s 2.03s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   53 (  53 unt;   0 def)
%            Number of atoms       :   53 (  52 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  125 ( 125   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f3,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

fof(f4,plain,
    inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
    inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(X0))))),inverse(X3))))),X2) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(X2)),inverse(double_divide(X1,inverse(X0))))),X3),inverse(X0))),X3) = X2,
    inference(superposition,[],[f1,f1]) ).

fof(f11,plain,
    ! [X2,X0] : double_divide(inverse(double_divide(X0,inverse(X0))),inverse(X2)) = X2,
    inference(superposition,[],[f5,f1]) ).

fof(f15,plain,
    ! [X0,X1] : double_divide(inverse(double_divide(X1,inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f5,f11]) ).

fof(f26,plain,
    ! [X0,X1] : double_divide(inverse(X0),inverse(inverse(double_divide(X1,inverse(X0))))) = X1,
    inference(superposition,[],[f15,f15]) ).

fof(f61,plain,
    ! [X2,X3,X0,X1] : inverse(double_divide(X0,inverse(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(X1))))))) = double_divide(inverse(double_divide(X1,inverse(X0))),X3),
    inference(superposition,[],[f5,f26]) ).

fof(f62,plain,
    ! [X0,X1] : inverse(double_divide(X0,inverse(double_divide(X1,inverse(X1))))) = X0,
    inference(superposition,[],[f11,f26]) ).

fof(f68,plain,
    ! [X2,X0,X1] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(double_divide(double_divide(inverse(X1),X2),inverse(X0))),X2),
    inference(superposition,[],[f1,f26]) ).

fof(f97,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
    inference(superposition,[],[f1,f62]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1] : double_divide(X3,inverse(X3)) = double_divide(inverse(double_divide(X2,inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))))),X1),
    inference(superposition,[],[f5,f62]) ).

fof(f112,plain,
    ! [X2,X3,X1] : double_divide(X3,inverse(X3)) = double_divide(double_divide(inverse(double_divide(X2,inverse(X2))),X1),X1),
    inference(forward_demodulation,[],[f100,f61]) ).

fof(f120,plain,
    ! [X2,X3] : inverse(double_divide(X2,inverse(X2))) = double_divide(X3,inverse(X3)),
    inference(forward_demodulation,[],[f112,f97]) ).

fof(f125,plain,
    ! [X0,X1] : double_divide(X0,inverse(X1)) = inverse(double_divide(X1,inverse(X0))),
    inference(superposition,[],[f97,f15]) ).

fof(f139,plain,
    ! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X0,inverse(X1)))) = X1,
    inference(superposition,[],[f15,f97]) ).

fof(f142,plain,
    ! [X0,X1] : inverse(X0) = double_divide(X0,inverse(double_divide(X1,inverse(X1)))),
    inference(superposition,[],[f62,f97]) ).

fof(f264,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(double_divide(X1,inverse(X1)),inverse(X2))),double_divide(X0,inverse(X0))) = X2,
    inference(superposition,[],[f15,f120]) ).

fof(f302,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X2,inverse(double_divide(X1,inverse(X1)))),double_divide(X0,inverse(X0))) = X2,
    inference(forward_demodulation,[],[f264,f125]) ).

fof(f332,plain,
    ! [X2,X0] : double_divide(inverse(X2),double_divide(X0,inverse(X0))) = X2,
    inference(forward_demodulation,[],[f302,f142]) ).

fof(f378,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X1,inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X0),inverse(X1))))),inverse(X3))))),double_divide(X2,inverse(X2))) = X3,
    inference(superposition,[],[f5,f332]) ).

fof(f379,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X0),inverse(X2))))),double_divide(X1,inverse(X1))) = X2,
    inference(superposition,[],[f1,f332]) ).

fof(f380,plain,
    ! [X2,X0] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(X2)))) = X2,
    inference(forward_demodulation,[],[f379,f332]) ).

fof(f381,plain,
    ! [X3,X0,X1] : double_divide(X1,inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X0),inverse(X1))))),inverse(X3)))) = X3,
    inference(forward_demodulation,[],[f378,f332]) ).

fof(f396,plain,
    ! [X2,X0] : double_divide(X0,double_divide(X2,inverse(inverse(X0)))) = X2,
    inference(forward_demodulation,[],[f380,f125]) ).

fof(f397,plain,
    ! [X3,X0,X1] : double_divide(X1,double_divide(X3,inverse(inverse(double_divide(X0,inverse(double_divide(inverse(X0),inverse(X1)))))))) = X3,
    inference(forward_demodulation,[],[f381,f125]) ).

fof(f403,plain,
    ! [X3,X0,X1] : double_divide(X1,double_divide(X3,inverse(double_divide(double_divide(inverse(X0),inverse(X1)),inverse(X0))))) = X3,
    inference(forward_demodulation,[],[f397,f125]) ).

fof(f406,plain,
    ! [X3,X0,X1] : double_divide(X1,double_divide(X3,double_divide(X0,inverse(double_divide(inverse(X0),inverse(X1)))))) = X3,
    inference(forward_demodulation,[],[f403,f125]) ).

fof(f409,plain,
    ! [X3,X0,X1] : double_divide(X1,double_divide(X3,double_divide(X0,double_divide(X1,inverse(inverse(X0)))))) = X3,
    inference(forward_demodulation,[],[f406,f125]) ).

fof(f412,plain,
    ! [X3,X1] : double_divide(X1,double_divide(X3,X1)) = X3,
    inference(forward_demodulation,[],[f409,f396]) ).

fof(f418,plain,
    ! [X2,X0,X1] : double_divide(X1,X0) = inverse(double_divide(double_divide(X2,X1),inverse(double_divide(X2,inverse(X0))))),
    inference(superposition,[],[f412,f1]) ).

fof(f422,plain,
    ! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
    inference(superposition,[],[f412,f97]) ).

fof(f425,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
    inference(superposition,[],[f97,f412]) ).

fof(f435,plain,
    ! [X2,X0,X1] : double_divide(X1,X0) = double_divide(double_divide(X2,inverse(X0)),inverse(double_divide(X2,X1))),
    inference(forward_demodulation,[],[f418,f125]) ).

fof(f470,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f332,f425]) ).

fof(f651,plain,
    ! [X0,X1] : double_divide(X0,inverse(X1)) = inverse(double_divide(inverse(X0),X1)),
    inference(superposition,[],[f125,f422]) ).

fof(f1706,plain,
    ! [X2,X0,X1] : double_divide(X2,inverse(X1)) = double_divide(double_divide(X0,X1),inverse(double_divide(X2,X0))),
    inference(superposition,[],[f97,f435]) ).

fof(f2806,plain,
    ! [X2,X3,X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(double_divide(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),inverse(X2))))),X3),inverse(X2))),X3),
    inference(superposition,[],[f6,f139]) ).

fof(f2829,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(X0)) = inverse(double_divide(X2,inverse(double_divide(X0,inverse(double_divide(inverse(X1),inverse(X2))))))),
    inference(forward_demodulation,[],[f2806,f68]) ).

fof(f2869,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(X0)) = double_divide(double_divide(X0,inverse(double_divide(inverse(X1),inverse(X2)))),inverse(X2)),
    inference(forward_demodulation,[],[f2829,f125]) ).

fof(f2898,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(X2),double_divide(X0,inverse(double_divide(inverse(X1),inverse(X2))))),
    inference(forward_demodulation,[],[f2869,f422]) ).

fof(f2914,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(X2),double_divide(X0,double_divide(X2,inverse(inverse(X1))))),
    inference(forward_demodulation,[],[f2898,f125]) ).

fof(f2922,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(X2),double_divide(X0,double_divide(X2,X1))),
    inference(forward_demodulation,[],[f2914,f470]) ).

fof(f2982,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X1,X0),inverse(X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
    inference(superposition,[],[f2922,f425]) ).

fof(f3368,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(X2)) = double_divide(double_divide(X1,X2),inverse(X0)),
    inference(superposition,[],[f1706,f97]) ).

fof(f3476,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(X2)) = double_divide(inverse(X1),double_divide(X0,X2)),
    inference(forward_demodulation,[],[f3368,f2982]) ).

fof(f4717,plain,
    inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(double_divide(c3,b3),inverse(a3)),
    inference(superposition,[],[f4,f651]) ).

fof(f4831,plain,
    inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3)),
    inference(forward_demodulation,[],[f4717,f422]) ).

fof(f4902,plain,
    inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(b3,c3)),
    inference(forward_demodulation,[],[f4831,f422]) ).

fof(f4949,plain,
    double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(double_divide(b3,a3),inverse(c3)),
    inference(forward_demodulation,[],[f4902,f125]) ).

fof(f4973,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f4949,f3476]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP591-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 10:11:00 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.20/1.94  % (1432572)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.20/1.94  % (1432588)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3263083623:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 6.20/1.94  % (1432587)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=983999090:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 6.20/1.94  % (1432591)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=65149257:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 6.20/1.94  % (1432590)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1147388742:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 6.20/1.94  % (1432585)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4167582390:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 6.20/1.94  % (1432586)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1998725258:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 6.20/1.94  % (1432588)Instruction limit reached! 
% 6.20/1.94  % (1432588)------------------------------
% 6.20/1.94  % (1432588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.94  % (1432588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.94  % (1432588)CaDiCaL version: 2.1.3
% 6.20/1.94  % (1432588)Termination reason: Instruction limit
% 6.20/1.94  % (1432588)Termination phase: Saturation
% 6.20/1.94  % (1432588)Time elapsed: 0.057 s
% 6.20/1.94  % (1432588)Peak memory usage: 88 MB
% 6.20/1.94  % (1432588)Instructions burned: 137 (million)
% 6.20/1.94  % (1432592)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=960421580:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 6.20/1.94  % (1432591)Instruction limit reached! 
% 6.20/1.94  % (1432591)------------------------------
% 6.20/1.94  % (1432591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.94  % (1432591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.94  % (1432591)CaDiCaL version: 2.1.3
% 6.20/1.94  % (1432591)Termination reason: Instruction limit
% 6.20/1.94  % (1432591)Termination phase: Saturation
% 6.20/1.94  % (1432591)Time elapsed: 0.120 s
% 6.20/1.94  % (1432591)Peak memory usage: 89 MB
% 6.20/1.94  % (1432591)Instructions burned: 260 (million)
% 6.20/1.94  % (1432590)Instruction limit reached! 
% 6.20/1.94  % (1432590)------------------------------
% 6.20/1.94  % (1432590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.94  % (1432590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.94  % (1432590)CaDiCaL version: 2.1.3
% 6.20/1.94  % (1432590)Termination reason: Instruction limit
% 6.20/1.94  % (1432590)Termination phase: Saturation
% 6.20/1.94  % (1432590)Time elapsed: 0.165 s
% 6.20/1.94  % (1432590)Peak memory usage: 90 MB
% 6.20/1.94  % (1432590)Instructions burned: 181 (million)
% 6.20/1.94  % (1432606)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3059944644:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 6.20/1.94  % (1432608)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1989472502:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 6.20/1.94  % (1432610)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4091885734:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.20/1.94  % (1432610)Instruction limit reached! 
% 6.20/1.94  % (1432610)------------------------------
% 6.20/1.94  % (1432610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.94  % (1432610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.94  % (1432610)CaDiCaL version: 2.1.3
% 6.20/1.94  % (1432610)Termination reason: Instruction limit
% 6.20/1.94  % (1432610)Termination phase: Saturation
% 6.20/1.94  % (1432610)Time elapsed: 0.122 s
% 0.15/2.03  % (1432610)Peak memory usage: 90 MB
% 0.15/2.03  % (1432610)Instructions burned: 215 (million)
% 0.15/2.03  % (1432614)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2781400353:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 0.15/2.03  % (1432608)First to succeed.
% 0.15/2.03  % (1432608)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1432572"
% 0.15/2.03  % (1432614)Instruction limit reached! 
% 0.15/2.03  % (1432614)------------------------------
% 0.15/2.03  % (1432614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.03  % (1432614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.03  % (1432614)CaDiCaL version: 2.1.3
% 0.15/2.03  % (1432614)Termination reason: Instruction limit
% 0.15/2.03  % (1432614)Termination phase: Saturation
% 0.15/2.03  % (1432614)Time elapsed: 0.180 s
% 0.15/2.03  % (1432614)Peak memory usage: 94 MB
% 0.15/2.03  % (1432614)Instructions burned: 318 (million)
% 0.15/2.03  % (1432592)Instruction limit reached! 
% 0.15/2.03  % (1432592)------------------------------
% 0.15/2.03  % (1432592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.03  % (1432592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.03  % (1432592)CaDiCaL version: 2.1.3
% 0.15/2.03  % (1432592)Termination reason: Instruction limit
% 0.15/2.03  % (1432592)Termination phase: Saturation
% 0.15/2.03  % (1432592)Time elapsed: 0.789 s
% 0.15/2.03  % (1432592)Peak memory usage: 102 MB
% 0.15/2.03  % (1432592)Instructions burned: 1187 (million)
% 0.15/2.03  % (1432608)Refutation found. Thanks to Tanya!
% 0.15/2.03  % SZS status Unsatisfiable for theBenchmark
% 0.15/2.03  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.04  % (1432608)------------------------------
% 0.15/2.04  % (1432608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.04  % (1432608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.04  % (1432608)CaDiCaL version: 2.1.3
% 0.15/2.04  % (1432608)Termination reason: Refutation
% 0.15/2.04  % (1432608)Time elapsed: 0.475 s
% 0.15/2.04  % (1432608)Peak memory usage: 131 MB
% 0.15/2.04  % (1432608)Instructions burned: 1241 (million)
% 0.15/2.04  % (1432608)------------------------------
% 0.15/2.04  % (1432608)------------------------------
% 0.15/2.04  % (1432572)Success in time 1.089 s
% 0.15/2.04  % Vampire exiting
%------------------------------------------------------------------------------