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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COL006-5 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 09:37:36 AM UTC 2026

% Result   : Unsatisfiable 8.98s 2.05s
% Output   : Refutation 8.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   73 (  73 unt;  17 def)
%            Number of atoms       :   73 (  72 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    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  21 con; 0-2 aty)
%            Number of variables   :   56 (  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).

fof(f2,negated_conjecture,
    ! [X0,X1] : apply(apply(k,X0),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).

fof(f3,negated_conjecture,
    strong_fixed_point = apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).

fof(f4,negated_conjecture,
    apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).

fof(f5,definition,
    sF0 = apply(s,k),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f6,plain,
    apply(s,k) = sF0,
    inference(reorient_equations,[],[f5]) ).

fof(f7,definition,
    sF1 = apply(sF0,k),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f8,plain,
    apply(sF0,k) = sF1,
    inference(reorient_equations,[],[f7]) ).

fof(f9,definition,
    sF2 = apply(s,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f10,plain,
    apply(s,sF1) = sF2,
    inference(reorient_equations,[],[f9]) ).

fof(f11,definition,
    sF3 = apply(sF2,sF1),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f12,plain,
    apply(sF2,sF1) = sF3,
    inference(reorient_equations,[],[f11]) ).

fof(f13,definition,
    sF4 = apply(k,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f14,plain,
    apply(k,sF3) = sF4,
    inference(reorient_equations,[],[f13]) ).

fof(f15,definition,
    sF5 = apply(s,sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f16,plain,
    apply(s,sF4) = sF5,
    inference(reorient_equations,[],[f15]) ).

fof(f17,definition,
    sF6 = apply(s,s),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f18,plain,
    apply(s,s) = sF6,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF7 = apply(sF6,sF0),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f20,plain,
    apply(sF6,sF0) = sF7,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF8 = apply(k,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f22,plain,
    apply(k,sF7) = sF8,
    inference(reorient_equations,[],[f21]) ).

fof(f23,definition,
    sF9 = apply(s,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f24,plain,
    apply(s,sF8) = sF9,
    inference(reorient_equations,[],[f23]) ).

fof(f25,definition,
    sF10 = apply(k,s),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f26,plain,
    apply(k,s) = sF10,
    inference(reorient_equations,[],[f25]) ).

fof(f27,definition,
    sF11 = apply(s,sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f28,plain,
    apply(s,sF10) = sF11,
    inference(reorient_equations,[],[f27]) ).

fof(f29,definition,
    sF12 = apply(sF11,k),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f30,plain,
    apply(sF11,k) = sF12,
    inference(reorient_equations,[],[f29]) ).

fof(f31,definition,
    sF13 = apply(sF9,sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f32,plain,
    apply(sF9,sF12) = sF13,
    inference(reorient_equations,[],[f31]) ).

fof(f33,definition,
    sF14 = apply(sF5,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f34,plain,
    apply(sF5,sF13) = sF14,
    inference(reorient_equations,[],[f33]) ).

fof(f35,plain,
    strong_fixed_point = sF14,
    inference(definition_folding,[],[f3,f34,f32,f30,f28,f26,f24,f22,f20,f6,f18,f16,f14,f12,f8,f6,f10,f8,f6]) ).

fof(f36,definition,
    sF15 = apply(strong_fixed_point,fixed_pt),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f37,plain,
    apply(strong_fixed_point,fixed_pt) = sF15,
    inference(reorient_equations,[],[f36]) ).

fof(f38,definition,
    sF16 = apply(fixed_pt,sF15),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f39,plain,
    apply(fixed_pt,sF15) = sF16,
    inference(reorient_equations,[],[f38]) ).

fof(f40,plain,
    sF15 != sF16,
    inference(definition_folding,[],[f4,f39,f37,f37]) ).

fof(f41,plain,
    strong_fixed_point = apply(sF5,sF13),
    inference(forward_demodulation,[],[f34,f35]) ).

fof(f42,plain,
    ! [X2,X0,X1] : apply(apply(X1,X2),apply(apply(X0,X1),X2)) = apply(apply(apply(apply(s,s),X0),X1),X2),
    inference(superposition,[],[f1,f1]) ).

fof(f43,plain,
    ! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(s,apply(k,X0)),X1),X2),
    inference(superposition,[],[f1,f2]) ).

fof(f50,plain,
    ! [X0,X1] : apply(apply(apply(s,k),X0),X1) = X1,
    inference(superposition,[],[f2,f1]) ).

fof(f51,plain,
    ! [X0,X1] : apply(apply(sF0,X0),X1) = X1,
    inference(forward_demodulation,[],[f50,f6]) ).

fof(f53,plain,
    ! [X2,X0,X1] : apply(apply(X1,X2),apply(apply(X0,X1),X2)) = apply(apply(apply(sF6,X0),X1),X2),
    inference(forward_demodulation,[],[f42,f18]) ).

fof(f60,plain,
    ! [X0,X1] : apply(apply(sF1,X1),apply(X0,X1)) = apply(apply(sF2,X0),X1),
    inference(superposition,[],[f1,f10]) ).

fof(f76,plain,
    ! [X0,X1] : apply(apply(sF10,X1),apply(X0,X1)) = apply(apply(sF11,X0),X1),
    inference(superposition,[],[f1,f28]) ).

fof(f115,plain,
    ! [X0] : apply(sF1,X0) = X0,
    inference(superposition,[],[f51,f8]) ).

fof(f119,plain,
    ! [X0,X1] : apply(apply(sF2,X0),X1) = apply(X1,apply(X0,X1)),
    inference(backward_demodulation,[],[f60,f115]) ).

fof(f178,plain,
    ! [X0] : apply(X0,X0) = apply(apply(sF2,sF1),X0),
    inference(superposition,[],[f119,f115]) ).

fof(f184,plain,
    ! [X0] : apply(X0,X0) = apply(sF3,X0),
    inference(forward_demodulation,[],[f178,f12]) ).

fof(f246,plain,
    ! [X0] : sF7 = apply(sF8,X0),
    inference(superposition,[],[f2,f22]) ).

fof(f249,plain,
    ! [X0,X1] : apply(apply(sF4,X1),apply(X0,X1)) = apply(apply(sF5,X0),X1),
    inference(superposition,[],[f1,f16]) ).

fof(f255,plain,
    ! [X0,X1] : apply(apply(sF8,X1),apply(X0,X1)) = apply(apply(sF9,X0),X1),
    inference(superposition,[],[f1,f24]) ).

fof(f258,plain,
    ! [X0,X1] : apply(apply(sF9,X0),X1) = apply(sF7,apply(X0,X1)),
    inference(forward_demodulation,[],[f255,f246]) ).

fof(f261,plain,
    ! [X0] : apply(sF7,apply(sF12,X0)) = apply(sF13,X0),
    inference(superposition,[],[f258,f32]) ).

fof(f274,plain,
    ! [X0] : sF3 = apply(sF4,X0),
    inference(superposition,[],[f2,f14]) ).

fof(f276,plain,
    ! [X0,X1] : apply(sF3,apply(X0,X1)) = apply(apply(sF5,X0),X1),
    inference(backward_demodulation,[],[f249,f274]) ).

fof(f295,plain,
    ! [X0] : s = apply(sF10,X0),
    inference(superposition,[],[f2,f26]) ).

fof(f298,plain,
    ! [X0,X1] : apply(s,apply(X0,X1)) = apply(apply(sF11,X0),X1),
    inference(backward_demodulation,[],[f76,f295]) ).

fof(f301,plain,
    ! [X0] : apply(s,apply(k,X0)) = apply(sF12,X0),
    inference(superposition,[],[f298,f30]) ).

fof(f313,plain,
    ! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(sF12,X0),X1),X2),
    inference(backward_demodulation,[],[f43,f301]) ).

fof(f335,plain,
    ! [X0] : apply(sF3,apply(sF13,X0)) = apply(strong_fixed_point,X0),
    inference(superposition,[],[f276,f41]) ).

fof(f409,plain,
    ! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(apply(sF6,sF0),X1),X0),
    inference(superposition,[],[f53,f51]) ).

fof(f462,plain,
    ! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(sF7,X1),X0),
    inference(forward_demodulation,[],[f409,f20]) ).

fof(f580,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(sF7,apply(sF12,X0)),X1),
    inference(superposition,[],[f313,f462]) ).

fof(f603,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(sF13,X0),X1),
    inference(forward_demodulation,[],[f580,f261]) ).

fof(f659,plain,
    ! [X0] : apply(sF3,apply(sF13,X0)) = apply(X0,apply(sF3,apply(sF13,X0))),
    inference(superposition,[],[f603,f184]) ).

fof(f716,plain,
    ! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)),
    inference(forward_demodulation,[],[f659,f335]) ).

fof(f1384,plain,
    sF15 = apply(fixed_pt,sF15),
    inference(superposition,[],[f716,f37]) ).

fof(f1475,plain,
    sF15 = sF16,
    inference(backward_demodulation,[],[f39,f1384]) ).

fof(f1483,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1475,f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COL006-5 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.18  % Computer : n005.cluster.edu
% 0.13/0.18  % Model    : x86_64 x86_64
% 0.13/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18  % Memory   : 8046.5625MB
% 0.13/0.18  % OS       : Linux 6.8.0-71-generic
% 0.13/0.18  % CPULimit : 300
% 0.13/0.18  % WCLimit  : 300
% 0.13/0.18  % DateTime : Mon Sep 28 21:29:16 UTC 2026
% 0.13/0.18  % CPUTime  : 
% 0.13/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22  Running first-order theorem proving
% 0.13/0.22  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
% 7.75/1.87  % (1202976)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.75/1.87  % (1202996)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=242767420:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.75/1.87  % (1202998)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2509395763:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.75/1.87  % (1202997)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=344734446:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.75/1.87  % (1203000)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=107096840:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.75/1.87  % (1203001)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3321653037:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.75/1.87  % (1202999)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1806984679:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.75/1.87  % (1203002)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1258624632:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.75/1.87  % (1202999)Instruction limit reached! 
% 7.75/1.87  % (1202999)------------------------------
% 7.75/1.87  % (1202999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.87  % (1202999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.87  % (1202999)CaDiCaL version: 2.1.3
% 7.75/1.87  % (1202999)Termination reason: Instruction limit
% 7.75/1.87  % (1202999)Termination phase: Saturation
% 7.75/1.87  % (1202999)Time elapsed: 0.078 s
% 7.75/1.87  % (1202999)Peak memory usage: 89 MB
% 7.75/1.87  % (1202999)Instructions burned: 136 (million)
% 7.75/1.87  % (1203000)Instruction limit reached! 
% 7.75/1.87  % (1203000)------------------------------
% 7.75/1.87  % (1203000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.87  % (1203000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.87  % (1203000)CaDiCaL version: 2.1.3
% 7.75/1.87  % (1203000)Termination reason: Instruction limit
% 7.75/1.87  % (1203000)Termination phase: Saturation
% 7.75/1.87  % (1203000)Time elapsed: 0.100 s
% 7.75/1.87  % (1203000)Peak memory usage: 89 MB
% 7.75/1.87  % (1203000)Instructions burned: 183 (million)
% 7.75/1.87  % (1203001)Instruction limit reached! 
% 7.75/1.87  % (1203001)------------------------------
% 7.75/1.87  % (1203001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.87  % (1203001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.87  % (1203001)CaDiCaL version: 2.1.3
% 7.75/1.87  % (1203001)Termination reason: Instruction limit
% 7.75/1.87  % (1203001)Termination phase: Saturation
% 7.75/1.87  % (1203001)Time elapsed: 0.157 s
% 7.75/1.87  % (1203001)Peak memory usage: 90 MB
% 7.75/1.87  % (1203001)Instructions burned: 257 (million)
% 7.75/1.87  % (1203010)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=446337490:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 7.75/1.87  % (1203011)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1210899494:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 7.75/1.87  % (1203013)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4042968688:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 7.75/1.87  % (1203013)Instruction limit reached! 
% 7.75/1.87  % (1203013)------------------------------
% 7.75/1.87  % (1203013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.87  % (1203013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.87  % (1203013)CaDiCaL version: 2.1.3
% 7.75/1.87  % (1203013)Termination reason: Instruction limit
% 7.75/1.87  % (1203013)Termination phase: Saturation
% 7.75/1.87  % (1203013)Time elapsed: 0.116 s
% 8.98/2.05  % (1203013)Peak memory usage: 89 MB
% 8.98/2.05  % (1203013)Instructions burned: 216 (million)
% 8.98/2.05  % (1203044)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=2855225572:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 8.98/2.05  % (1203002)Instruction limit reached! 
% 8.98/2.05  % (1203002)------------------------------
% 8.98/2.05  % (1203002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.98/2.05  % (1203002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.05  % (1203002)CaDiCaL version: 2.1.3
% 8.98/2.05  % (1203002)Termination reason: Instruction limit
% 8.98/2.05  % (1203002)Termination phase: Saturation
% 8.98/2.05  % (1203002)Time elapsed: 0.635 s
% 8.98/2.05  % (1203002)Peak memory usage: 96 MB
% 8.98/2.05  % (1203002)Instructions burned: 1187 (million)
% 8.98/2.05  % (1203044)Instruction limit reached! 
% 8.98/2.05  % (1203044)------------------------------
% 8.98/2.05  % (1203044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.98/2.05  % (1203044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.05  % (1203044)CaDiCaL version: 2.1.3
% 8.98/2.05  % (1203044)Termination reason: Instruction limit
% 8.98/2.05  % (1203044)Termination phase: Saturation
% 8.98/2.05  % (1203044)Time elapsed: 0.167 s
% 8.98/2.05  % (1203044)Peak memory usage: 90 MB
% 8.98/2.05  % (1203044)Instructions burned: 319 (million)
% 8.98/2.05  % (1202998)First to succeed.
% 8.98/2.05  % (1202998)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1202976"
% 8.98/2.05  % (1203124)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=3687288739:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 8.98/2.05  % (1203125)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2696440139:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 8.98/2.05  % (1202998)Refutation found. Thanks to Tanya!
% 8.98/2.05  % SZS status Unsatisfiable for theBenchmark
% 8.98/2.05  % SZS output start Proof for theBenchmark
% See solution above
% 8.98/2.05  % (1202998)------------------------------
% 8.98/2.05  % (1202998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.98/2.05  % (1202998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.05  % (1202998)CaDiCaL version: 2.1.3
% 8.98/2.05  % (1202998)Termination reason: Refutation
% 8.98/2.05  % (1202998)Time elapsed: 0.784 s
% 8.98/2.05  % (1202998)Peak memory usage: 131 MB
% 8.98/2.05  % (1202998)Instructions burned: 1211 (million)
% 8.98/2.05  % (1202998)------------------------------
% 8.98/2.05  % (1202998)------------------------------
% 8.98/2.05  % (1202976)Success in time 1.168 s
% 8.98/2.05  % Vampire exiting
%------------------------------------------------------------------------------