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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT026-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 11:45:51 AM UTC 2026

% Result   : Unsatisfiable 11.60s 2.74s
% Output   : Refutation 11.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   81 (  81 unt;   4 def)
%            Number of atoms       :   81 (  80 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   53 (  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] : join(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).

fof(f4,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).

fof(f5,axiom,
    ! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_1) ).

fof(f6,axiom,
    ! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_2) ).

fof(f7,axiom,
    ! [X2,X0,X1] : meet(X0,join(X1,join(X0,X2))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion) ).

fof(f8,negated_conjecture,
    meet(meet(a,b),c) != meet(a,meet(b,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_meet) ).

fof(f9,definition,
    sF0 = meet(a,b),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f10,plain,
    meet(a,b) = sF0,
    inference(reorient_equations,[],[f9]) ).

fof(f11,definition,
    sF1 = meet(sF0,c),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f12,plain,
    meet(sF0,c) = sF1,
    inference(reorient_equations,[],[f11]) ).

fof(f13,definition,
    sF2 = meet(b,c),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f14,plain,
    meet(b,c) = sF2,
    inference(reorient_equations,[],[f13]) ).

fof(f15,definition,
    sF3 = meet(a,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f16,plain,
    meet(a,sF2) = sF3,
    inference(reorient_equations,[],[f15]) ).

fof(f17,plain,
    sF1 != sF3,
    inference(definition_folding,[],[f8,f16,f14,f12,f10]) ).

fof(f18,plain,
    ! [X2,X0,X1] : join(X1,join(meet(X0,X1),meet(X2,X1))) = X1,
    inference(backward_demodulation,[],[f6,f4]) ).

fof(f19,plain,
    ! [X2,X0,X1] : meet(X1,meet(join(X0,X1),join(X2,X1))) = X1,
    inference(backward_demodulation,[],[f5,f3]) ).

fof(f20,plain,
    sF3 = meet(sF2,a),
    inference(forward_demodulation,[],[f16,f3]) ).

fof(f46,plain,
    ! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
    inference(superposition,[],[f7,f18]) ).

fof(f50,plain,
    ! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
    inference(forward_demodulation,[],[f46,f3]) ).

fof(f52,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
    inference(superposition,[],[f50,f3]) ).

fof(f56,plain,
    sF0 = meet(b,sF0),
    inference(superposition,[],[f50,f10]) ).

fof(f57,plain,
    sF2 = meet(c,sF2),
    inference(superposition,[],[f50,f14]) ).

fof(f63,plain,
    sF2 = meet(sF2,c),
    inference(forward_demodulation,[],[f57,f3]) ).

fof(f64,plain,
    sF0 = meet(sF0,b),
    inference(forward_demodulation,[],[f56,f3]) ).

fof(f85,plain,
    sF0 = meet(a,sF0),
    inference(superposition,[],[f52,f10]) ).

fof(f87,plain,
    sF2 = meet(b,sF2),
    inference(superposition,[],[f52,f14]) ).

fof(f88,plain,
    sF1 = meet(sF0,sF1),
    inference(superposition,[],[f52,f12]) ).

fof(f89,plain,
    sF3 = meet(sF2,sF3),
    inference(superposition,[],[f52,f20]) ).

fof(f94,plain,
    sF2 = meet(sF2,b),
    inference(forward_demodulation,[],[f87,f3]) ).

fof(f95,plain,
    sF0 = meet(sF0,a),
    inference(forward_demodulation,[],[f85,f3]) ).

fof(f122,plain,
    ! [X2,X0,X1] : meet(X1,join(X2,join(X0,X1))) = X1,
    inference(superposition,[],[f7,f4]) ).

fof(f158,plain,
    ! [X0,X1] : join(X1,meet(X0,X1)) = X1,
    inference(superposition,[],[f18,f2]) ).

fof(f171,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    inference(superposition,[],[f158,f3]) ).

fof(f182,plain,
    c = join(c,sF1),
    inference(superposition,[],[f158,f12]) ).

fof(f185,plain,
    a = join(a,sF3),
    inference(superposition,[],[f158,f20]) ).

fof(f186,plain,
    b = join(b,sF2),
    inference(superposition,[],[f158,f94]) ).

fof(f187,plain,
    c = join(c,sF2),
    inference(superposition,[],[f158,f63]) ).

fof(f196,plain,
    c = join(sF2,c),
    inference(forward_demodulation,[],[f187,f4]) ).

fof(f197,plain,
    b = join(sF2,b),
    inference(forward_demodulation,[],[f186,f4]) ).

fof(f225,plain,
    sF2 = join(sF2,sF3),
    inference(superposition,[],[f171,f89]) ).

fof(f245,plain,
    ! [X0] : sF3 = meet(sF3,meet(a,join(X0,sF3))),
    inference(superposition,[],[f19,f185]) ).

fof(f411,plain,
    ! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(X2,X0)),
    inference(superposition,[],[f122,f158]) ).

fof(f419,plain,
    ! [X0] : sF3 = meet(sF3,join(X0,sF2)),
    inference(superposition,[],[f122,f225]) ).

fof(f436,plain,
    ! [X0] : sF1 = meet(sF1,meet(c,join(X0,sF1))),
    inference(superposition,[],[f19,f182]) ).

fof(f817,plain,
    ! [X0] : sF3 = meet(sF3,join(sF2,X0)),
    inference(superposition,[],[f419,f4]) ).

fof(f1050,plain,
    sF3 = meet(sF3,b),
    inference(superposition,[],[f817,f197]) ).

fof(f1051,plain,
    sF3 = meet(sF3,c),
    inference(superposition,[],[f817,f196]) ).

fof(f1086,plain,
    sF3 = meet(c,sF3),
    inference(forward_demodulation,[],[f1051,f3]) ).

fof(f1087,plain,
    sF3 = meet(b,sF3),
    inference(forward_demodulation,[],[f1050,f3]) ).

fof(f1098,plain,
    c = join(c,sF3),
    inference(superposition,[],[f171,f1086]) ).

fof(f1109,plain,
    ! [X0] : sF3 = meet(sF3,meet(c,join(X0,sF3))),
    inference(superposition,[],[f19,f1098]) ).

fof(f1139,plain,
    b = join(b,sF3),
    inference(superposition,[],[f171,f1087]) ).

fof(f1148,plain,
    sF3 = meet(sF3,meet(a,b)),
    inference(superposition,[],[f245,f1139]) ).

fof(f1168,plain,
    sF3 = meet(sF3,sF0),
    inference(forward_demodulation,[],[f1148,f10]) ).

fof(f1171,plain,
    sF3 = meet(sF0,sF3),
    inference(forward_demodulation,[],[f1168,f3]) ).

fof(f1182,plain,
    sF0 = join(sF0,sF3),
    inference(superposition,[],[f171,f1171]) ).

fof(f1349,plain,
    sF3 = meet(sF3,meet(c,sF0)),
    inference(superposition,[],[f1109,f1182]) ).

fof(f1372,plain,
    sF3 = meet(sF3,meet(sF0,c)),
    inference(forward_demodulation,[],[f1349,f3]) ).

fof(f1379,plain,
    sF3 = meet(sF3,sF1),
    inference(forward_demodulation,[],[f1372,f12]) ).

fof(f1383,plain,
    sF3 = meet(sF1,sF3),
    inference(forward_demodulation,[],[f1379,f3]) ).

fof(f2827,plain,
    ! [X2,X0,X1] : meet(X1,meet(X2,X0)) = meet(meet(X1,meet(X2,X0)),X0),
    inference(superposition,[],[f411,f158]) ).

fof(f2891,plain,
    ! [X2,X0,X1] : meet(X1,meet(X2,X0)) = meet(X0,meet(X1,meet(X2,X0))),
    inference(forward_demodulation,[],[f2827,f3]) ).

fof(f2972,plain,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(meet(X0,X1),X2)),
    inference(superposition,[],[f2891,f3]) ).

fof(f3058,plain,
    ! [X0] : meet(sF0,X0) = meet(a,meet(sF0,X0)),
    inference(superposition,[],[f2972,f95]) ).

fof(f3059,plain,
    ! [X0] : meet(sF0,X0) = meet(b,meet(sF0,X0)),
    inference(superposition,[],[f2972,f64]) ).

fof(f3221,plain,
    sF1 = meet(b,sF1),
    inference(superposition,[],[f3059,f88]) ).

fof(f3302,plain,
    b = join(b,sF1),
    inference(superposition,[],[f171,f3221]) ).

fof(f3319,plain,
    sF1 = meet(sF1,meet(c,b)),
    inference(superposition,[],[f436,f3302]) ).

fof(f3348,plain,
    sF1 = meet(sF1,meet(b,c)),
    inference(forward_demodulation,[],[f3319,f3]) ).

fof(f3353,plain,
    sF1 = meet(sF1,sF2),
    inference(forward_demodulation,[],[f3348,f14]) ).

fof(f3354,plain,
    sF1 = meet(sF2,sF1),
    inference(forward_demodulation,[],[f3353,f3]) ).

fof(f3377,plain,
    sF2 = join(sF2,sF1),
    inference(superposition,[],[f171,f3354]) ).

fof(f3406,plain,
    ! [X0] : sF1 = meet(sF1,meet(sF2,join(X0,sF1))),
    inference(superposition,[],[f19,f3377]) ).

fof(f4064,plain,
    sF1 = meet(a,sF1),
    inference(superposition,[],[f3058,f88]) ).

fof(f4149,plain,
    a = join(a,sF1),
    inference(superposition,[],[f171,f4064]) ).

fof(f4167,plain,
    sF1 = meet(sF1,meet(sF2,a)),
    inference(superposition,[],[f3406,f4149]) ).

fof(f4200,plain,
    sF1 = meet(sF1,sF3),
    inference(forward_demodulation,[],[f4167,f20]) ).

fof(f4204,plain,
    sF1 = sF3,
    inference(backward_demodulation,[],[f1383,f4200]) ).

fof(f4205,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f4204,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT026-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n001.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 14:03:01 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.66/2.55  % (3589211)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.66/2.55  % (3589232)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=1993982360:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.66/2.55  % (3589233)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=2776906243:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.66/2.55  % (3589237)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3179627376:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.66/2.55  % (3589238)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2885170309:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.66/2.55  % (3589236)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1666117560:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.66/2.55  % (3589235)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2572270477:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.66/2.55  % (3589234)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3504615693:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.66/2.55  % (3589235)Instruction limit reached! 
% 10.66/2.55  % (3589235)------------------------------
% 10.66/2.55  % (3589235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.55  % (3589235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.55  % (3589235)CaDiCaL version: 2.1.3
% 10.66/2.55  % (3589235)Termination reason: Instruction limit
% 10.66/2.55  % (3589235)Termination phase: Saturation
% 10.66/2.55  % (3589235)Time elapsed: 0.138 s
% 10.66/2.55  % (3589235)Peak memory usage: 89 MB
% 10.66/2.55  % (3589235)Instructions burned: 136 (million)
% 10.66/2.55  % (3589236)Instruction limit reached! 
% 10.66/2.55  % (3589236)------------------------------
% 10.66/2.55  % (3589236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.55  % (3589236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.55  % (3589236)CaDiCaL version: 2.1.3
% 10.66/2.55  % (3589236)Termination reason: Instruction limit
% 10.66/2.55  % (3589236)Termination phase: Saturation
% 10.66/2.55  % (3589236)Time elapsed: 0.174 s
% 10.66/2.55  % (3589236)Peak memory usage: 89 MB
% 10.66/2.55  % (3589236)Instructions burned: 182 (million)
% 10.66/2.55  % (3589237)Instruction limit reached! 
% 10.66/2.55  % (3589237)------------------------------
% 10.66/2.55  % (3589237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.55  % (3589237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.55  % (3589237)CaDiCaL version: 2.1.3
% 10.66/2.55  % (3589237)Termination reason: Instruction limit
% 10.66/2.55  % (3589237)Termination phase: Saturation
% 10.66/2.55  % (3589237)Time elapsed: 0.251 s
% 10.66/2.55  % (3589237)Peak memory usage: 90 MB
% 10.66/2.55  % (3589237)Instructions burned: 257 (million)
% 10.66/2.55  % (3589250)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2533048025:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 10.66/2.55  % (3589249)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1198832949:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 10.66/2.55  % (3589251)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3050628076:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 10.66/2.55  % (3589251)Instruction limit reached! 
% 10.66/2.55  % (3589251)------------------------------
% 10.66/2.55  % (3589251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.55  % (3589251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.55  % (3589251)CaDiCaL version: 2.1.3
% 10.66/2.55  % (3589251)Termination reason: Instruction limit
% 10.66/2.55  % (3589251)Termination phase: Saturation
% 10.66/2.55  % (3589251)Time elapsed: 0.121 s
% 11.60/2.74  % (3589251)Peak memory usage: 91 MB
% 11.60/2.74  % (3589251)Instructions burned: 216 (million)
% 11.60/2.74  % (3589255)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=439977613: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)
% 11.60/2.74  % (3589238)Instruction limit reached! 
% 11.60/2.74  % (3589238)------------------------------
% 11.60/2.74  % (3589238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.74  % (3589238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.74  % (3589238)CaDiCaL version: 2.1.3
% 11.60/2.74  % (3589238)Termination reason: Instruction limit
% 11.60/2.74  % (3589238)Termination phase: Saturation
% 11.60/2.74  % (3589238)Time elapsed: 0.748 s
% 11.60/2.74  % (3589238)Peak memory usage: 98 MB
% 11.60/2.74  % (3589238)Instructions burned: 1189 (million)
% 11.60/2.74  % (3589255)Instruction limit reached! 
% 11.60/2.74  % (3589255)------------------------------
% 11.60/2.74  % (3589255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.74  % (3589255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.74  % (3589255)CaDiCaL version: 2.1.3
% 11.60/2.74  % (3589255)Termination reason: Instruction limit
% 11.60/2.74  % (3589255)Termination phase: Saturation
% 11.60/2.74  % (3589255)Time elapsed: 0.196 s
% 11.60/2.74  % (3589255)Peak memory usage: 92 MB
% 11.60/2.74  % (3589255)Instructions burned: 318 (million)
% 11.60/2.74  % (3589283)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2171663062:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/12125Mi)
% 11.60/2.74  % (3589332)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2181575297:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2989 on theBenchmark for (2989ds/2836Mi)
% 11.60/2.74  % (3589234)First to succeed.
% 11.60/2.74  % (3589234)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3589211"
% 11.60/2.74  % (3589249)Also succeeded, but the first one will report.
% 11.60/2.74  % (3589332)Also succeeded, but the first one will report.
% 11.60/2.74  % (3589233)Also succeeded, but the first one will report.
% 11.60/2.74  % (3589234)Refutation found. Thanks to Tanya!
% 11.60/2.74  % SZS status Unsatisfiable for theBenchmark
% 11.60/2.74  % SZS output start Proof for theBenchmark
% See solution above
% 11.60/2.74  % (3589234)------------------------------
% 11.60/2.74  % (3589234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.74  % (3589234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.74  % (3589234)CaDiCaL version: 2.1.3
% 11.60/2.74  % (3589234)Termination reason: Refutation
% 11.60/2.74  % (3589234)Time elapsed: 1.052 s
% 11.60/2.74  % (3589234)Peak memory usage: 133 MB
% 11.60/2.74  % (3589234)Instructions burned: 1399 (million)
% 11.60/2.74  % (3589234)------------------------------
% 11.60/2.74  % (3589234)------------------------------
% 11.60/2.74  % (3589211)Success in time 1.526 s
% 11.60/2.74  % Vampire exiting
%------------------------------------------------------------------------------