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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP431-1 : 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 : n019.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 10:13:59 AM UTC 2026

% Result   : Unsatisfiable 9.84s 2.67s
% Output   : Refutation 9.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   52 (  52 unt;   0 def)
%            Number of atoms       :   52 (  51 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   18 (   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   :  174 ( 174   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/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,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X0)),X1)))) = X4,
    inference(superposition,[],[f1,f1]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X3))),multiply(X4,inverse(X4))),multiply(X0,X1)))) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,X4))),X3))) = multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(X0)),multiply(X6,inverse(X6))),multiply(X3,X1)))),
    inference(superposition,[],[f5,f1]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,X3))),multiply(X2,inverse(X2))) = multiply(X1,inverse(multiply(multiply(X0,multiply(X5,inverse(X5))),multiply(X3,X1)))),
    inference(superposition,[],[f5,f1]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : multiply(X4,multiply(X2,inverse(X2))) = multiply(X1,inverse(multiply(multiply(X0,multiply(X6,inverse(X6))),multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X0))),multiply(X5,inverse(X5))),X1)))),
    inference(superposition,[],[f5,f5]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))),multiply(X1,X4)))) = X3,
    inference(superposition,[],[f5,f9]) ).

fof(f33,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0))))))) = X1,
    inference(superposition,[],[f1,f9]) ).

fof(f77,plain,
    ! [X2,X0,X1,X4] : multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X0))),
    inference(superposition,[],[f33,f5]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : multiply(X6,inverse(X6)) = multiply(X3,inverse(multiply(multiply(inverse(multiply(X1,X2)),inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))))),multiply(X4,X3)))),
    inference(superposition,[],[f32,f77]) ).

fof(f173,plain,
    ! [X0,X6] : multiply(X0,inverse(X0)) = multiply(X6,inverse(X6)),
    inference(forward_demodulation,[],[f171,f32]) ).

fof(f177,plain,
    ! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),
    inference(superposition,[],[f173,f77]) ).

fof(f189,plain,
    ! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(X0,inverse(X0)),X1)))) = X2,
    inference(superposition,[],[f1,f173]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,X4))),multiply(X6,inverse(X6)))),X2))),X7))),multiply(X0,X1)))) = X7,
    inference(superposition,[],[f4,f1]) ).

fof(f804,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X2,inverse(X2))),
    inference(superposition,[],[f10,f10]) ).

fof(f1155,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,X0),X1))),X3))) = X0,
    inference(superposition,[],[f7,f5]) ).

fof(f1322,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(X1,X2)),multiply(multiply(X0,inverse(X0)),X1))) = X2,
    inference(superposition,[],[f1155,f173]) ).

fof(f1329,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),X2)),multiply(X0,inverse(X0)))) = X2,
    inference(superposition,[],[f1155,f177]) ).

fof(f1349,plain,
    ! [X0,X1,X5] : multiply(multiply(X5,inverse(X5)),X0) = multiply(multiply(X1,inverse(X1)),X0),
    inference(superposition,[],[f77,f1155]) ).

fof(f2999,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(X0),multiply(X2,inverse(X2)))) = multiply(multiply(X1,inverse(X1)),X0),
    inference(superposition,[],[f1329,f1322]) ).

fof(f3143,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,inverse(X2)),multiply(inverse(multiply(X1,inverse(X1))),X0)) = X0,
    inference(superposition,[],[f2999,f1322]) ).

fof(f3278,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,X2)),inverse(multiply(inverse(X0),multiply(X1,inverse(X1)))))) = X2,
    inference(superposition,[],[f1322,f2999]) ).

fof(f3503,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(multiply(X1,inverse(X1))),X0),inverse(multiply(inverse(X2),X0))) = X2,
    inference(superposition,[],[f189,f3143]) ).

fof(f4343,plain,
    ! [X0,X1] : inverse(X0) = inverse(multiply(X0,inverse(multiply(X1,inverse(X1))))),
    inference(superposition,[],[f3278,f1]) ).

fof(f4596,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X1,inverse(X1))),X2),inverse(multiply(inverse(X0),X2))) = multiply(X0,inverse(multiply(X3,inverse(X3)))),
    inference(superposition,[],[f3503,f4343]) ).

fof(f4600,plain,
    ! [X3,X0] : multiply(X0,inverse(multiply(X3,inverse(X3)))) = X0,
    inference(forward_demodulation,[],[f4596,f3503]) ).

fof(f4675,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),
    inference(superposition,[],[f3143,f4600]) ).

fof(f4820,plain,
    ! [X2,X1] : multiply(X1,inverse(X1)) = inverse(multiply(X2,inverse(X2))),
    inference(forward_demodulation,[],[f4675,f4600]) ).

fof(f4996,plain,
    ! [X3,X0,X1] : multiply(multiply(X3,inverse(X3)),X1) = inverse(multiply(inverse(X1),inverse(multiply(X0,inverse(X0))))),
    inference(superposition,[],[f2999,f4820]) ).

fof(f5008,plain,
    ! [X0,X1] : multiply(X1,inverse(inverse(multiply(X0,inverse(X0))))) = X1,
    inference(superposition,[],[f4600,f4820]) ).

fof(f5051,plain,
    ! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
    inference(superposition,[],[f4600,f4820]) ).

fof(f5161,plain,
    ! [X3,X1] : multiply(multiply(X3,inverse(X3)),X1) = inverse(inverse(X1)),
    inference(forward_demodulation,[],[f4996,f4343]) ).

fof(f5440,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,X4)))),X2))),X7))),multiply(X0,X1)))) = X7,
    inference(forward_demodulation,[],[f279,f5051]) ).

fof(f5840,plain,
    ! [X0,X1] : inverse(inverse(inverse(multiply(inverse(X0),inverse(inverse(multiply(X1,inverse(X1)))))))) = X0,
    inference(superposition,[],[f3503,f5161]) ).

fof(f6078,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
    inference(forward_demodulation,[],[f5840,f5008]) ).

fof(f6496,plain,
    ! [X2,X0,X1,X7,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(inverse(inverse(inverse(multiply(multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,X4)))),X2)))),X7))),multiply(X0,X1)))) = X7,
    inference(forward_demodulation,[],[f5440,f5161]) ).

fof(f6497,plain,
    ! [X2,X0,X1,X7,X4] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(inverse(inverse(inverse(multiply(multiply(X4,inverse(inverse(inverse(multiply(X0,X4))))),X2)))),X7))),multiply(X0,X1)))) = X7,
    inference(forward_demodulation,[],[f6496,f5161]) ).

fof(f6632,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X1,X2)),inverse(multiply(inverse(multiply(X3,multiply(inverse(inverse(inverse(multiply(multiply(X4,inverse(inverse(inverse(multiply(multiply(X5,inverse(X5)),X4))))),X3)))),X6))),multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))))) = X6,
    inference(superposition,[],[f6497,f77]) ).

fof(f6868,plain,
    ! [X3,X6,X4,X5] : multiply(X3,multiply(inverse(inverse(inverse(multiply(multiply(X4,inverse(inverse(inverse(multiply(multiply(X5,inverse(X5)),X4))))),X3)))),X6)) = X6,
    inference(forward_demodulation,[],[f6632,f189]) ).

fof(f7053,plain,
    ! [X3,X6,X4] : multiply(X3,multiply(inverse(inverse(inverse(multiply(multiply(X4,inverse(inverse(inverse(inverse(inverse(X4)))))),X3)))),X6)) = X6,
    inference(forward_demodulation,[],[f6868,f5161]) ).

fof(f7173,plain,
    ! [X3,X6,X4] : multiply(X3,multiply(inverse(inverse(inverse(multiply(multiply(X4,inverse(X4)),X3)))),X6)) = X6,
    inference(forward_demodulation,[],[f7053,f6078]) ).

fof(f7237,plain,
    ! [X3,X6] : multiply(X3,multiply(inverse(inverse(inverse(inverse(inverse(X3))))),X6)) = X6,
    inference(forward_demodulation,[],[f7173,f5161]) ).

fof(f7266,plain,
    ! [X3,X6] : multiply(X3,multiply(inverse(X3),X6)) = X6,
    inference(forward_demodulation,[],[f7237,f6078]) ).

fof(f7378,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
    inference(superposition,[],[f804,f7266]) ).

fof(f7435,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f7378,f5051]) ).

fof(f7689,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,inverse(X2)),X1) = multiply(multiply(inverse(X0),X0),X1),
    inference(superposition,[],[f1349,f7435]) ).

fof(f7727,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(inverse(X0),X0),X1),
    inference(forward_demodulation,[],[f7689,f5161]) ).

fof(f7798,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
    inference(forward_demodulation,[],[f7727,f7435]) ).

fof(f10856,plain,
    a2 != a2,
    inference(superposition,[],[f3,f7798]) ).

fof(f10999,plain,
    $false,
    inference(trivial_inequality_removal,[],[f10856]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP431-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  % Computer : n019.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Sun Sep 27 10:04:19 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47  Running first-order theorem proving
% 0.15/0.47  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
% 8.14/2.32  % (2853264)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.14/2.32  % (2853274)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2068078769:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 8.14/2.32  % (2853271)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=306471788:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 8.14/2.32  % (2853273)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4203459042:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 8.14/2.32  % (2853272)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1312431059:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 8.14/2.32  % (2853269)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=1174993918:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 8.14/2.32  % (2853270)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=1441326207:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 8.14/2.32  % (2853275)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1466520610:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 8.14/2.32  % (2853273)Instruction limit reached! 
% 8.14/2.32  % (2853273)------------------------------
% 8.14/2.32  % (2853273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.32  % (2853273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.32  % (2853273)CaDiCaL version: 2.1.3
% 8.14/2.32  % (2853273)Termination reason: Instruction limit
% 8.14/2.32  % (2853273)Termination phase: Saturation
% 8.14/2.32  % (2853273)Time elapsed: 0.105 s
% 8.14/2.32  % (2853273)Peak memory usage: 89 MB
% 8.14/2.32  % (2853273)Instructions burned: 181 (million)
% 8.14/2.32  % (2853274)Instruction limit reached! 
% 8.14/2.32  % (2853274)------------------------------
% 8.14/2.32  % (2853274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.32  % (2853274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.32  % (2853274)CaDiCaL version: 2.1.3
% 8.14/2.32  % (2853274)Termination reason: Instruction limit
% 8.14/2.32  % (2853274)Termination phase: Saturation
% 8.14/2.32  % (2853274)Time elapsed: 0.132 s
% 8.14/2.32  % (2853274)Peak memory usage: 91 MB
% 8.14/2.32  % (2853274)Instructions burned: 258 (million)
% 8.14/2.32  % (2853272)Instruction limit reached! 
% 8.14/2.32  % (2853272)------------------------------
% 8.14/2.32  % (2853272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.32  % (2853272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.32  % (2853272)CaDiCaL version: 2.1.3
% 8.14/2.32  % (2853272)Termination reason: Instruction limit
% 8.14/2.32  % (2853272)Termination phase: Saturation
% 8.14/2.32  % (2853272)Time elapsed: 0.113 s
% 8.14/2.32  % (2853272)Peak memory usage: 89 MB
% 8.14/2.32  % (2853272)Instructions burned: 137 (million)
% 8.14/2.32  % (2853284)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3948477581:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 8.14/2.32  % (2853285)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3646139232:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 8.14/2.32  % (2853283)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1653473976:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 8.14/2.32  % (2853285)Instruction limit reached! 
% 8.14/2.32  % (2853285)------------------------------
% 8.14/2.32  % (2853285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.32  % (2853285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.32  % (2853285)CaDiCaL version: 2.1.3
% 8.14/2.32  % (2853285)Termination reason: Instruction limit
% 8.14/2.32  % (2853285)Termination phase: Saturation
% 8.14/2.32  % (2853285)Time elapsed: 0.177 s
% 9.84/2.67  % (2853285)Peak memory usage: 91 MB
% 9.84/2.67  % (2853285)Instructions burned: 215 (million)
% 9.84/2.67  % (2853275)First to succeed.
% 9.84/2.67  % (2853275)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2853264"
% 9.84/2.67  % (2853289)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=1218267734:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 9.84/2.67  % (2853275)Refutation found. Thanks to Tanya!
% 9.84/2.67  % SZS status Unsatisfiable for theBenchmark
% 9.84/2.67  % SZS output start Proof for theBenchmark
% See solution above
% 9.84/2.67  % (2853275)------------------------------
% 9.84/2.67  % (2853275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.67  % (2853275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.67  % (2853275)CaDiCaL version: 2.1.3
% 9.84/2.67  % (2853275)Termination reason: Refutation
% 9.84/2.67  % (2853275)Time elapsed: 0.574 s
% 9.84/2.67  % (2853275)Peak memory usage: 94 MB
% 9.84/2.67  % (2853275)Instructions burned: 657 (million)
% 9.84/2.67  % (2853275)------------------------------
% 9.84/2.67  % (2853275)------------------------------
% 9.84/2.67  % (2853264)Success in time 1.264 s
% 9.84/2.67  % Vampire exiting
%------------------------------------------------------------------------------