%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL044-7 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:37:44 AM UTC 2026
% Result : Unsatisfiable 12.19s 2.46s
% Output : Refutation 12.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 68 ( 68 unt; 13 def)
% Number of atoms : 68 ( 67 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 : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 17 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_definition) ).
fof(f3,negated_conjecture,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b)),b),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f5,definition,
sF0 = apply(b,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
apply(b,b) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = apply(n,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
apply(n,sF0) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = apply(n,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
apply(n,sF1) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = apply(sF2,n),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
apply(sF2,n) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = apply(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
apply(sF0,sF3) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF5 = apply(n,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f16,plain,
apply(n,sF4) = sF5,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF6 = apply(sF5,n),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
apply(sF5,n) = sF6,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF7 = apply(b,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f20,plain,
apply(b,sF6) = sF7,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF8 = apply(sF7,b),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f22,plain,
apply(sF7,b) = sF8,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF9 = apply(b,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f24,plain,
apply(b,sF8) = sF9,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF10 = apply(sF9,b),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f26,plain,
apply(sF9,b) = sF10,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
strong_fixed_point = sF10,
inference(definition_folding,[],[f3,f26,f24,f22,f20,f18,f16,f14,f12,f10,f8,f6,f6]) ).
fof(f28,definition,
sF11 = apply(strong_fixed_point,fixed_pt),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f29,plain,
apply(strong_fixed_point,fixed_pt) = sF11,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF12 = apply(fixed_pt,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f31,plain,
apply(fixed_pt,sF11) = sF12,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
sF11 != sF12,
inference(definition_folding,[],[f4,f31,f29,f29]) ).
fof(f33,plain,
strong_fixed_point = apply(sF9,b),
inference(forward_demodulation,[],[f26,f27]) ).
fof(f34,plain,
! [X0,X1] : apply(b,apply(X0,X1)) = apply(apply(sF0,X0),X1),
inference(superposition,[],[f1,f6]) ).
fof(f35,plain,
! [X0,X1] : apply(sF8,apply(X0,X1)) = apply(apply(sF9,X0),X1),
inference(superposition,[],[f1,f24]) ).
fof(f36,plain,
! [X0,X1] : apply(sF6,apply(X0,X1)) = apply(apply(sF7,X0),X1),
inference(superposition,[],[f1,f20]) ).
fof(f37,plain,
! [X0] : apply(sF6,apply(b,X0)) = apply(sF8,X0),
inference(superposition,[],[f36,f22]) ).
fof(f41,plain,
! [X0] : apply(b,apply(sF3,X0)) = apply(sF4,X0),
inference(superposition,[],[f34,f14]) ).
fof(f42,plain,
! [X0] : apply(sF8,apply(b,X0)) = apply(strong_fixed_point,X0),
inference(superposition,[],[f35,f33]) ).
fof(f44,plain,
! [X2,X0,X1] : apply(apply(sF3,X0),apply(X1,X2)) = apply(apply(apply(sF4,X0),X1),X2),
inference(superposition,[],[f1,f41]) ).
fof(f46,plain,
! [X0,X1] : apply(apply(apply(sF1,X1),X0),X1) = apply(apply(sF2,X0),X1),
inference(superposition,[],[f2,f10]) ).
fof(f47,plain,
! [X0,X1] : apply(apply(apply(sF4,X1),X0),X1) = apply(apply(sF5,X0),X1),
inference(superposition,[],[f2,f16]) ).
fof(f52,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(sF0,X0)),X2),X1) = apply(apply(apply(b,apply(X0,X1)),X2),X1),
inference(superposition,[],[f2,f34]) ).
fof(f59,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(b,X0)),X2),X1) = apply(apply(X0,apply(X1,X2)),X1),
inference(superposition,[],[f2,f1]) ).
fof(f61,plain,
! [X0,X1] : apply(apply(apply(n,sF0),X1),X0) = apply(apply(b,apply(X0,X1)),X0),
inference(superposition,[],[f2,f34]) ).
fof(f69,plain,
! [X0,X1] : apply(apply(sF1,X1),X0) = apply(apply(b,apply(X0,X1)),X0),
inference(forward_demodulation,[],[f61,f8]) ).
fof(f72,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(sF0,X0)),X2),X1) = apply(apply(X0,X1),apply(X2,X1)),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f75,plain,
! [X0,X1] : apply(apply(sF5,X0),X1) = apply(apply(sF3,X1),apply(X0,X1)),
inference(forward_demodulation,[],[f47,f44]) ).
fof(f130,plain,
! [X2,X0,X1] : apply(apply(X1,X0),apply(X1,X2)) = apply(apply(apply(sF1,X0),X1),X2),
inference(superposition,[],[f1,f69]) ).
fof(f182,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X2,X1),X2)),
inference(superposition,[],[f1,f59]) ).
fof(f405,plain,
! [X0,X1] : apply(apply(sF2,X0),X1) = apply(apply(X0,X1),apply(X0,X1)),
inference(superposition,[],[f46,f130]) ).
fof(f492,plain,
! [X0,X1] : apply(X0,apply(apply(X1,apply(n,apply(b,apply(b,X0)))),X1)) = apply(apply(apply(sF2,n),apply(b,apply(b,X0))),X1),
inference(superposition,[],[f182,f405]) ).
fof(f512,plain,
! [X0,X1] : apply(X0,apply(apply(X1,apply(n,apply(b,apply(b,X0)))),X1)) = apply(apply(sF3,apply(b,apply(b,X0))),X1),
inference(forward_demodulation,[],[f492,f12]) ).
fof(f1301,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(apply(apply(sF2,n),apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0))))),
inference(superposition,[],[f512,f405]) ).
fof(f1412,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(apply(apply(n,apply(sF0,apply(sF2,n))),n),apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f1301,f72]) ).
fof(f1426,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(apply(apply(n,apply(sF0,sF3)),n),apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f1412,f12]) ).
fof(f1430,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(apply(apply(n,sF4),n),apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f1426,f14]) ).
fof(f1433,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(apply(sF5,n),apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f1430,f16]) ).
fof(f1435,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(sF6,apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f1433,f18]) ).
fof(f1436,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(sF8,apply(b,X0))),
inference(forward_demodulation,[],[f1435,f37]) ).
fof(f1437,plain,
! [X0] : apply(apply(sF3,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[],[f1436,f42]) ).
fof(f1438,plain,
! [X0] : apply(apply(sF5,n),apply(b,apply(b,X0))) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[],[f1437,f75]) ).
fof(f1439,plain,
! [X0] : apply(sF6,apply(b,apply(b,X0))) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[],[f1438,f18]) ).
fof(f1440,plain,
! [X0] : apply(sF8,apply(b,X0)) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[],[f1439,f37]) ).
fof(f1441,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[],[f1440,f42]) ).
fof(f1444,plain,
sF11 = apply(fixed_pt,sF11),
inference(superposition,[],[f1441,f29]) ).
fof(f1535,plain,
sF11 = sF12,
inference(backward_demodulation,[],[f31,f1444]) ).
fof(f1551,plain,
$false,
inference(forward_subsumption_resolution,[],[f1535,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL044-7 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n001.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 21:36:49 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.25 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
% 11.44/2.28 % (776440)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.44/2.28 % (776455)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4032770608:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 11.44/2.28 % (776450)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=954299915:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 11.44/2.28 % (776456)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3127965289:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 11.44/2.28 % (776454)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=802205156:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 11.44/2.28 % (776453)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2608959785:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 11.44/2.28 % (776452)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2258962122:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 11.44/2.28 % (776451)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=2584949799:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 11.44/2.28 % (776453)Instruction limit reached!
% 11.44/2.28 % (776453)------------------------------
% 11.44/2.28 % (776453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.28 % (776453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.28 % (776453)CaDiCaL version: 2.1.3
% 11.44/2.28 % (776453)Termination reason: Instruction limit
% 11.44/2.28 % (776453)Termination phase: Saturation
% 11.44/2.28 % (776453)Time elapsed: 0.136 s
% 11.44/2.28 % (776453)Peak memory usage: 89 MB
% 11.44/2.28 % (776453)Instructions burned: 136 (million)
% 11.44/2.28 % (776455)Instruction limit reached!
% 11.44/2.28 % (776455)------------------------------
% 11.44/2.28 % (776455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.28 % (776455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.28 % (776455)CaDiCaL version: 2.1.3
% 11.44/2.28 % (776455)Termination reason: Instruction limit
% 11.44/2.28 % (776455)Termination phase: Saturation
% 11.44/2.28 % (776455)Time elapsed: 0.179 s
% 11.44/2.28 % (776455)Peak memory usage: 91 MB
% 11.44/2.28 % (776455)Instructions burned: 258 (million)
% 11.44/2.28 % (776454)Instruction limit reached!
% 11.44/2.28 % (776454)------------------------------
% 11.44/2.28 % (776454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.28 % (776454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.28 % (776454)CaDiCaL version: 2.1.3
% 11.44/2.28 % (776454)Termination reason: Instruction limit
% 11.44/2.28 % (776454)Termination phase: Saturation
% 11.44/2.28 % (776454)Time elapsed: 0.170 s
% 11.44/2.28 % (776454)Peak memory usage: 90 MB
% 11.44/2.28 % (776454)Instructions burned: 181 (million)
% 11.44/2.28 % (776467)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=728420231:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 11.44/2.28 % (776465)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3284192416:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 11.44/2.28 % (776469)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3970287385:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 11.44/2.28 % (776469)Refutation not found, incomplete strategy
% 11.44/2.28 % (776469)------------------------------
% 11.44/2.28 % (776469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.28 % (776469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.28 % (776469)CaDiCaL version: 2.1.3
% 11.44/2.28 % (776469)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.28 % (776469)Time elapsed: 0.003 s
% 11.44/2.28 % (776469)Peak memory usage: 88 MB
% 11.44/2.28 % (776469)Instructions burned: 1 (million)
% 12.19/2.46 % (776469)------------------------------
% 12.19/2.46 % (776469)------------------------------
% 12.19/2.46 % (776476)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=429306430:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 12.19/2.46 % (776456)Instruction limit reached!
% 12.19/2.46 % (776456)------------------------------
% 12.19/2.46 % (776456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.46 % (776456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.46 % (776456)CaDiCaL version: 2.1.3
% 12.19/2.46 % (776456)Termination reason: Instruction limit
% 12.19/2.46 % (776456)Termination phase: Saturation
% 12.19/2.46 % (776456)Time elapsed: 1.084 s
% 12.19/2.46 % (776456)Peak memory usage: 99 MB
% 12.19/2.46 % (776456)Instructions burned: 1187 (million)
% 12.19/2.46 % (776452)First to succeed.
% 12.19/2.46 % (776452)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-776440"
% 12.19/2.46 % (776451)Also succeeded, but the first one will report.
% 12.19/2.46 % (776476)Instruction limit reached!
% 12.19/2.46 % (776476)------------------------------
% 12.19/2.46 % (776476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.46 % (776476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.46 % (776476)CaDiCaL version: 2.1.3
% 12.19/2.46 % (776476)Termination reason: Instruction limit
% 12.19/2.46 % (776476)Termination phase: Saturation
% 12.19/2.46 % (776476)Time elapsed: 0.274 s
% 12.19/2.46 % (776476)Peak memory usage: 90 MB
% 12.19/2.46 % (776476)Instructions burned: 317 (million)
% 12.19/2.46 % (776478)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=1300752614:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 12.19/2.46 % (776452)Refutation found. Thanks to Tanya!
% 12.19/2.46 % SZS status Unsatisfiable for theBenchmark
% 12.19/2.46 % SZS output start Proof for theBenchmark
% See solution above
% 12.19/2.46 % (776452)------------------------------
% 12.19/2.46 % (776452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.46 % (776452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.46 % (776452)CaDiCaL version: 2.1.3
% 12.19/2.46 % (776452)Termination reason: Refutation
% 12.19/2.46 % (776452)Time elapsed: 1.183 s
% 12.19/2.46 % (776452)Peak memory usage: 135 MB
% 12.19/2.46 % (776452)Instructions burned: 1537 (million)
% 12.19/2.46 % (776452)------------------------------
% 12.19/2.46 % (776452)------------------------------
% 12.19/2.46 % (776440)Success in time 1.641 s
% 12.19/2.46 % Vampire exiting
%------------------------------------------------------------------------------