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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP435-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 10:17:49 AM UTC 2026

% Result   : Unsatisfiable 1.26s 0.68s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   53 (  53 unt;   0 def)
%            Number of atoms       :   53 (  52 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  134 ( 134   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

fof(f3,plain,
    ! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X4,inverse(X4)))),
    inference(superposition,[],[f1,f1]) ).

fof(f15,plain,
    ! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
    inference(superposition,[],[f3,f3]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X2)),X1),inverse(X1)),multiply(X3,inverse(X3)))) = X2,
    inference(superposition,[],[f1,f15]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(X3,inverse(X3)))),
    inference(superposition,[],[f1,f15]) ).

fof(f93,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
    inference(superposition,[],[f37,f35]) ).

fof(f112,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0))))),
    inference(superposition,[],[f93,f93]) ).

fof(f137,plain,
    ! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),
    inference(superposition,[],[f15,f93]) ).

fof(f220,plain,
    ! [X2,X3,X0,X1,X4] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X0,inverse(X0))),X3)),inverse(X3)),multiply(X4,inverse(X4)))),
    inference(superposition,[],[f3,f137]) ).

fof(f237,plain,
    ! [X3,X0,X1] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X3),inverse(X3))),
    inference(forward_demodulation,[],[f220,f37]) ).

fof(f378,plain,
    ! [X2,X3,X0,X1] : inverse(X2) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))),
    inference(superposition,[],[f1,f237]) ).

fof(f2483,plain,
    ! [X0,X1,X4] : inverse(X1) = inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X4,inverse(X4)))),
    inference(superposition,[],[f378,f137]) ).

fof(f2696,plain,
    ! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X0))))) = X0,
    inference(superposition,[],[f2483,f35]) ).

fof(f2820,plain,
    ! [X2,X0,X1] : multiply(X2,inverse(X2)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))))))),
    inference(superposition,[],[f2696,f378]) ).

fof(f2890,plain,
    ! [X2,X1] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(X1,inverse(X1)))),
    inference(forward_demodulation,[],[f2820,f2696]) ).

fof(f3123,plain,
    ! [X2,X3,X0,X1] : inverse(X1) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X0,inverse(X0))),X1),multiply(X3,inverse(X3)))),
    inference(superposition,[],[f2483,f2890]) ).

fof(f3126,plain,
    ! [X0,X1] : inverse(X1) = inverse(multiply(multiply(X0,inverse(X0)),X1)),
    inference(forward_demodulation,[],[f3123,f37]) ).

fof(f3198,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
    inference(superposition,[],[f2696,f3126]) ).

fof(f3347,plain,
    ! [X2,X0,X1] : multiply(X2,inverse(X2)) = inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))))))),
    inference(superposition,[],[f3198,f112]) ).

fof(f3359,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
    inference(superposition,[],[f3198,f2696]) ).

fof(f3438,plain,
    ! [X2,X1] : multiply(X2,inverse(X2)) = inverse(multiply(X1,inverse(X1))),
    inference(forward_demodulation,[],[f3347,f2696]) ).

fof(f3510,plain,
    ! [X2,X0] : inverse(X0) = inverse(multiply(X0,multiply(X2,inverse(X2)))),
    inference(superposition,[],[f2483,f3359]) ).

fof(f5063,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2))) = X1,
    inference(superposition,[],[f35,f3510]) ).

fof(f5125,plain,
    ! [X0,X1] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,multiply(X1,inverse(X1))),
    inference(superposition,[],[f3198,f3510]) ).

fof(f5132,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(forward_demodulation,[],[f5125,f3198]) ).

fof(f5174,plain,
    ! [X2,X1] : inverse(multiply(multiply(inverse(X1),X2),inverse(X2))) = X1,
    inference(forward_demodulation,[],[f5063,f3126]) ).

fof(f5286,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
    inference(superposition,[],[f5132,f3438]) ).

fof(f5340,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),X2)),X1),multiply(X3,inverse(X3)))) = X2,
    inference(superposition,[],[f1,f5132]) ).

fof(f5356,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),X2)),X1)) = X2,
    inference(forward_demodulation,[],[f5340,f3510]) ).

fof(f5426,plain,
    ! [X2,X1] : inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2,
    inference(forward_demodulation,[],[f5356,f3359]) ).

fof(f5619,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),multiply(X2,inverse(X2))),multiply(X3,inverse(X3)))) = X1,
    inference(superposition,[],[f35,f5286]) ).

fof(f5699,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),multiply(X2,inverse(X2)))) = X1,
    inference(forward_demodulation,[],[f5619,f3510]) ).

fof(f5766,plain,
    ! [X0,X1] : inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))) = X1,
    inference(forward_demodulation,[],[f5699,f3510]) ).

fof(f5793,plain,
    ! [X1] : inverse(inverse(X1)) = X1,
    inference(forward_demodulation,[],[f5766,f3126]) ).

fof(f6621,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
    inference(superposition,[],[f5426,f5426]) ).

fof(f6688,plain,
    ! [X0,X1] : inverse(inverse(inverse(X0))) = multiply(inverse(multiply(X1,X0)),X1),
    inference(superposition,[],[f3198,f5426]) ).

fof(f6703,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f6688,f5793]) ).

fof(f6993,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f5793,f6621]) ).

fof(f9248,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f5174,f6703]) ).

fof(f9325,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f6703,f5174]) ).

fof(f9463,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f9325,f5793]) ).

fof(f9695,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(superposition,[],[f9463,f5793]) ).

fof(f9721,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
    inference(superposition,[],[f9463,f6993]) ).

fof(f12967,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f5793,f9248]) ).

fof(f14598,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1)),inverse(X0)),multiply(X3,inverse(X3)))) = X2,
    inference(superposition,[],[f1,f12967]) ).

fof(f14621,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1)),inverse(X0))) = X2,
    inference(forward_demodulation,[],[f14598,f3510]) ).

fof(f14795,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1)))) = X2,
    inference(forward_demodulation,[],[f14621,f9721]) ).

fof(f14906,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(inverse(multiply(inverse(multiply(X0,X1)),X2))))) = X2,
    inference(forward_demodulation,[],[f14795,f9721]) ).

fof(f14976,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f14906,f5793]) ).

fof(f17891,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X2,X0)),
    inference(superposition,[],[f14976,f9695]) ).

fof(f18367,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(superposition,[],[f2,f17891]) ).

fof(f18469,plain,
    $false,
    inference(trivial_inequality_removal,[],[f18367]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP435-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n013.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 10:04:07 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.26/0.68  % (4171500)Will run a generic schedule for satisfiability detection.
% 1.26/0.68  % (4171507)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2549024000:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.26/0.68  % (4171506)% WARNING: option uhcvi not known.
% 1.26/0.68  % (4171505)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1196109130_2999 on theBenchmark for (2999ds/0Mi)
% 1.26/0.68  % (4171506)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2117546499:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.26/0.68  % (4171508)dis+10_1_sil=32000:sp=arity:random_seed=3316143483:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.26/0.68  % (4171509)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3814024301:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.26/0.68  % (4171511)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1554918499:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.26/0.68  % (4171510)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3395134138:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.26/0.68  % TRYING [1]
% 1.26/0.68  % TRYING [2]
% 1.26/0.68  % TRYING [3]
% 1.26/0.68  % TRYING [4]
% 1.26/0.68  % (4171508)Instruction limit reached! 
% 1.26/0.68  % (4171508)------------------------------
% 1.26/0.68  % (4171508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.68  % (4171508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.68  % (4171508)CaDiCaL version: 2.1.3
% 1.26/0.68  % (4171508)Termination reason: Instruction limit
% 1.26/0.68  % (4171508)Termination phase: Saturation
% 1.26/0.68  % (4171508)Time elapsed: 0.052 s
% 1.26/0.68  % (4171508)Peak memory usage: 12 MB
% 1.26/0.68  % (4171508)Instructions burned: 103 (million)
% 1.26/0.68  % (4171509)Instruction limit reached! 
% 1.26/0.68  % (4171509)------------------------------
% 1.26/0.68  % (4171509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.68  % (4171509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.68  % (4171509)CaDiCaL version: 2.1.3
% 1.26/0.68  % (4171509)Termination reason: Instruction limit
% 1.26/0.68  % (4171509)Termination phase: Saturation
% 1.26/0.68  % (4171509)Time elapsed: 0.062 s
% 1.26/0.68  % (4171509)Peak memory usage: 12 MB
% 1.26/0.68  % (4171509)Instructions burned: 117 (million)
% 1.26/0.68  % (4171510)Instruction limit reached! 
% 1.26/0.68  % (4171510)------------------------------
% 1.26/0.68  % (4171510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.68  % (4171510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.68  % (4171510)CaDiCaL version: 2.1.3
% 1.26/0.68  % (4171510)Termination reason: Instruction limit
% 1.26/0.68  % (4171510)Termination phase: Saturation
% 1.26/0.68  % (4171510)Time elapsed: 0.070 s
% 1.26/0.68  % (4171510)Peak memory usage: 12 MB
% 1.26/0.68  % (4171510)Instructions burned: 133 (million)
% 1.26/0.68  % (4171519)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2788390520:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.26/0.68  % TRYING [1]
% 1.26/0.68  % TRYING [2]
% 1.26/0.68  % TRYING [3]
% 1.26/0.68  % (4171520)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1171020896:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.26/0.68  % (4171511)Instruction limit reached! 
% 1.26/0.68  % (4171511)------------------------------
% 1.26/0.68  % (4171511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.68  % (4171511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.68  % (4171511)CaDiCaL version: 2.1.3
% 1.26/0.68  % (4171511)Termination reason: Instruction limit
% 1.26/0.68  % (4171511)Termination phase: Saturation
% 1.26/0.68  % (4171511)Time elapsed: 0.088 s
% 1.26/0.68  % (4171511)Peak memory usage: 13 MB
% 1.26/0.68  % (4171511)Instructions burned: 160 (million)
% 1.26/0.68  % (4171521)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2132295792:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.26/0.68  % TRYING [4]
% 1.26/0.68  % (4171524)ott-21_1_sil=16000:fs=off:random_seed=1191135129:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.26/0.68  % (4171520)Instruction limit reached! 
% 1.26/0.68  % (4171520)------------------------------
% 1.26/0.68  % (4171520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.68  % (4171520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.68  % (4171520)CaDiCaL version: 2.1.3
% 1.26/0.68  % (4171520)Termination reason: Instruction limit
% 1.26/0.68  % (4171520)Termination phase: Saturation
% 1.26/0.68  % (4171520)Time elapsed: 0.071 s
% 1.26/0.68  % (4171520)Peak memory usage: 13 MB
% 1.26/0.68  % (4171520)Instructions burned: 131 (million)
% 1.26/0.68  % (4171527)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=581507624:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.26/0.68  % (4171524)Instruction limit reached! 
% 1.26/0.68  % (4171524)------------------------------
% 1.26/0.68  % (4171524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.68  % (4171524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.68  % (4171524)CaDiCaL version: 2.1.3
% 1.26/0.68  % (4171524)Termination reason: Instruction limit
% 1.26/0.68  % (4171524)Termination phase: Saturation
% 1.26/0.68  % (4171524)Time elapsed: 0.083 s
% 1.26/0.68  % (4171524)Peak memory usage: 12 MB
% 1.26/0.68  % (4171524)Instructions burned: 180 (million)
% 1.26/0.68  % (4171529)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2741118794:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.26/0.68  % TRYING [1]
% 1.26/0.68  % TRYING [2]
% 1.26/0.68  % (4171507) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4171500-4171507"...
% 1.26/0.68  % TRYING [3]
% 1.26/0.68  % (4171507)...printing done.
% 1.26/0.68  % (4171507)Refutation found. Thanks to Tanya!
% 1.26/0.68  % SZS status Unsatisfiable for theBenchmark
% 1.26/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.69  % (4171507)------------------------------
% 1.26/0.69  % (4171507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.69  % (4171507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.69  % (4171507)CaDiCaL version: 2.1.3
% 1.26/0.69  % (4171507)Termination reason: Refutation
% 1.26/0.69  % (4171507)Time elapsed: 0.222 s
% 1.26/0.69  % (4171507)Peak memory usage: 19 MB
% 1.26/0.69  % (4171507)Instructions burned: 888 (million)
% 1.26/0.69  % (4171500)Success in time 0.25 s
% 1.26/0.69  % Vampire exiting
%------------------------------------------------------------------------------