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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP425-1 : 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 : n018.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 10:17:47 AM UTC 2026

% Result   : Unsatisfiable 4.34s 1.07s
% Output   : Refutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   75 (  75   !;   0   ?)

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

fof(f2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

fof(f3,plain,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    inference(reorient_equations,[],[f2]) ).

fof(f4,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X3)))),multiply(X2,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),
    inference(superposition,[],[f1,f1]) ).

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

fof(f75,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
    inference(superposition,[],[f4,f4]) ).

fof(f80,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))) = X1,
    inference(superposition,[],[f1,f4]) ).

fof(f85,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(X0,inverse(X2))) = X1,
    inference(superposition,[],[f1,f4]) ).

fof(f121,plain,
    ! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3))))),
    inference(superposition,[],[f1,f85]) ).

fof(f145,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
    inference(superposition,[],[f75,f85]) ).

fof(f214,plain,
    ! [X2,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))) = multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(X0))),
    inference(superposition,[],[f145,f6]) ).

fof(f293,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(X3))) = multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X0),X2)))),multiply(X4,inverse(X2)))),inverse(X3))),
    inference(superposition,[],[f214,f1]) ).

fof(f348,plain,
    ! [X2,X3,X0,X1,X4] : multiply(X4,inverse(X1)) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))))),multiply(X3,inverse(multiply(X4,inverse(X2)))))),inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X2))))),
    inference(superposition,[],[f1,f214]) ).

fof(f349,plain,
    ! [X2,X0,X1,X4] : multiply(X4,inverse(X1)) = multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),
    inference(forward_demodulation,[],[f348,f121]) ).

fof(f441,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(X4),X4))),
    inference(superposition,[],[f80,f349]) ).

fof(f475,plain,
    ! [X2,X3,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3) = X1,
    inference(forward_demodulation,[],[f441,f80]) ).

fof(f589,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))),
    inference(superposition,[],[f293,f1]) ).

fof(f665,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(superposition,[],[f589,f589]) ).

fof(f831,plain,
    ! [X2,X0] : multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X2),X2)))),X2) = X2,
    inference(superposition,[],[f475,f665]) ).

fof(f838,plain,
    ! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
    inference(superposition,[],[f3,f665]) ).

fof(f887,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0)))),X2) = X2,
    inference(superposition,[],[f831,f665]) ).

fof(f929,plain,
    ! [X0,X1] : a2 != multiply(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))),a2),
    inference(superposition,[],[f838,f887]) ).

fof(f953,plain,
    ! [X2,X0,X1] : a2 != multiply(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X2),X2))),a2),
    inference(superposition,[],[f929,f887]) ).

fof(f965,plain,
    ! [X2] : a2 != multiply(inverse(multiply(inverse(X2),X2)),a2),
    inference(forward_demodulation,[],[f953,f887]) ).

fof(f968,plain,
    ! [X0,X1] : a2 != multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))),a2),
    inference(superposition,[],[f965,f887]) ).

fof(f973,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f968,f887]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP425-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n018.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 10:06:24 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  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
% 4.34/1.07  % (2096300)Will run a generic schedule for satisfiability detection.
% 4.34/1.07  % (2096307)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3570878302:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.34/1.07  % (2096305)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=487645131_2999 on theBenchmark for (2999ds/0Mi)
% 4.34/1.07  % (2096308)dis+10_1_sil=32000:sp=arity:random_seed=535990613:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.34/1.07  % (2096309)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3337933216:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.34/1.07  % (2096310)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=300876313:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.34/1.07  % (2096311)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=906449980:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.34/1.07  % TRYING [1]
% 4.34/1.07  % TRYING [2]
% 4.34/1.07  % TRYING [3]
% 4.34/1.07  % (2096306)% WARNING: option uhcvi not known.
% 4.34/1.07  % (2096306)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3174246016:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.34/1.07  % TRYING [4]
% 4.34/1.07  % (2096308)Instruction limit reached! 
% 4.34/1.07  % (2096308)------------------------------
% 4.34/1.07  % (2096308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096308)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096308)Termination reason: Instruction limit
% 4.34/1.07  % (2096308)Termination phase: Saturation
% 4.34/1.07  % (2096308)Time elapsed: 0.054 s
% 4.34/1.07  % (2096308)Peak memory usage: 11 MB
% 4.34/1.07  % (2096308)Instructions burned: 105 (million)
% 4.34/1.07  % (2096309)Instruction limit reached! 
% 4.34/1.07  % (2096309)------------------------------
% 4.34/1.07  % (2096309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096309)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096309)Termination reason: Instruction limit
% 4.34/1.07  % (2096309)Termination phase: Saturation
% 4.34/1.07  % (2096309)Time elapsed: 0.065 s
% 4.34/1.07  % (2096309)Peak memory usage: 12 MB
% 4.34/1.07  % (2096309)Instructions burned: 116 (million)
% 4.34/1.07  % (2096319)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2818616805:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.34/1.07  % (2096310)Instruction limit reached! 
% 4.34/1.07  % (2096310)------------------------------
% 4.34/1.07  % (2096310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096310)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096310)Termination reason: Instruction limit
% 4.34/1.07  % (2096310)Termination phase: Saturation
% 4.34/1.07  % (2096310)Time elapsed: 0.074 s
% 4.34/1.07  % (2096310)Peak memory usage: 12 MB
% 4.34/1.07  % (2096310)Instructions burned: 132 (million)
% 4.34/1.07  % TRYING [1]
% 4.34/1.07  % TRYING [2]
% 4.34/1.07  % TRYING [3]
% 4.34/1.07  % (2096320)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2674759361:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.34/1.07  % (2096322)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=60116151:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.34/1.07  % (2096311)Instruction limit reached! 
% 4.34/1.07  % (2096311)------------------------------
% 4.34/1.07  % (2096311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096311)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096311)Termination reason: Instruction limit
% 4.34/1.07  % (2096311)Termination phase: Saturation
% 4.34/1.07  % (2096311)Time elapsed: 0.095 s
% 4.34/1.07  % (2096311)Peak memory usage: 12 MB
% 4.34/1.07  % (2096311)Instructions burned: 160 (million)
% 4.34/1.07  % TRYING [4]
% 4.34/1.07  % (2096325)ott-21_1_sil=16000:fs=off:random_seed=293986552:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.34/1.07  % (2096320)Instruction limit reached! 
% 4.34/1.07  % (2096320)------------------------------
% 4.34/1.07  % (2096320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096320)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096320)Termination reason: Instruction limit
% 4.34/1.07  % (2096320)Termination phase: Saturation
% 4.34/1.07  % (2096320)Time elapsed: 0.073 s
% 4.34/1.07  % (2096320)Peak memory usage: 12 MB
% 4.34/1.07  % (2096320)Instructions burned: 132 (million)
% 4.34/1.07  % (2096327)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1492966834:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.34/1.07  % (2096325)Instruction limit reached! 
% 4.34/1.07  % (2096325)------------------------------
% 4.34/1.07  % (2096325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096325)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096325)Termination reason: Instruction limit
% 4.34/1.07  % (2096325)Termination phase: Saturation
% 4.34/1.07  % (2096325)Time elapsed: 0.092 s
% 4.34/1.07  % (2096325)Peak memory usage: 11 MB
% 4.34/1.07  % (2096325)Instructions burned: 182 (million)
% 4.34/1.07  % (2096329)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2411323925:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.34/1.07  % TRYING [1]
% 4.34/1.07  % TRYING [2]
% 4.34/1.07  % TRYING [3]
% 4.34/1.07  % TRYING [4]
% 4.34/1.07  % (2096327)Instruction limit reached! 
% 4.34/1.07  % (2096327)------------------------------
% 4.34/1.07  % (2096327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096327)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096327)Termination reason: Instruction limit
% 4.34/1.07  % (2096327)Termination phase: Saturation
% 4.34/1.07  % (2096327)Time elapsed: 0.236 s
% 4.34/1.07  % (2096327)Peak memory usage: 14 MB
% 4.34/1.07  % (2096327)Instructions burned: 478 (million)
% 4.34/1.07  % (2096331)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=971369324:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.34/1.07  % (2096322)Instruction limit reached! 
% 4.34/1.07  % (2096322)------------------------------
% 4.34/1.07  % (2096322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096322)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096322)Termination reason: Instruction limit
% 4.34/1.07  % (2096322)Termination phase: Saturation
% 4.34/1.07  % (2096322)Time elapsed: 0.341 s
% 4.34/1.07  % (2096322)Peak memory usage: 16 MB
% 4.34/1.07  % (2096322)Instructions burned: 684 (million)
% 4.34/1.07  % (2096333)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2065609819:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.34/1.07  % TRYING [14]
% 4.34/1.07  % (2096319)Instruction limit reached! 
% 4.34/1.07  % (2096319)------------------------------
% 4.34/1.07  % (2096319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096319)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096319)Termination reason: Instruction limit
% 4.34/1.07  % (2096319)Termination phase: Finite model building SAT solving
% 4.34/1.07  % (2096319)Time elapsed: 0.421 s
% 4.34/1.07  % (2096319)Peak memory usage: 13 MB
% 4.34/1.07  % (2096319)Instructions burned: 714 (million)
% 4.34/1.07  % (2096335)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1835225291:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.34/1.07  % (2096335) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2096300-2096335"...
% 4.34/1.07  % (2096335)...printing done.
% 4.34/1.07  % (2096335)Refutation found. Thanks to Tanya!
% 4.34/1.07  % SZS status Unsatisfiable for theBenchmark
% 4.34/1.07  % SZS output start Proof for theBenchmark
% See solution above
% 4.34/1.07  % (2096335)------------------------------
% 4.34/1.07  % (2096335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.07  % (2096335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.07  % (2096335)CaDiCaL version: 2.1.3
% 4.34/1.07  % (2096335)Termination reason: Refutation
% 4.34/1.07  % (2096335)Time elapsed: 0.104 s
% 4.34/1.07  % (2096335)Peak memory usage: 13 MB
% 4.34/1.07  % (2096335)Instructions burned: 162 (million)
% 4.34/1.07  % (2096300)Success in time 0.662 s
% 4.34/1.07  % Vampire exiting
%------------------------------------------------------------------------------