%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP184-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 10:17:06 AM UTC 2026
% Result : Unsatisfiable 24.20s 5.30s
% Output : Refutation 24.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 61 ( 61 unt; 5 def)
% Number of atoms : 61 ( 60 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 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
fof(f16,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
fof(f17,axiom,
inverse(identity) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21x_1) ).
fof(f18,plain,
identity = inverse(identity),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21x_2) ).
fof(f20,axiom,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21x_3) ).
fof(f21,axiom,
! [X0,X1] : inverse(greatest_lower_bound(X0,X1)) = least_upper_bound(inverse(X0),inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21x_4) ).
fof(f22,axiom,
! [X0,X1] : inverse(least_upper_bound(X0,X1)) = greatest_lower_bound(inverse(X0),inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21x_5) ).
fof(f23,negated_conjecture,
multiply(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p21x) ).
fof(f24,definition,
sF0 = least_upper_bound(a,identity),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f25,plain,
least_upper_bound(a,identity) = sF0,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF1 = greatest_lower_bound(a,identity),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f27,plain,
greatest_lower_bound(a,identity) = sF1,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF2 = inverse(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f29,plain,
inverse(sF1) = sF2,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF3 = multiply(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f31,plain,
multiply(sF0,sF2) = sF3,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF4 = multiply(sF2,sF0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f33,plain,
multiply(sF2,sF0) = sF4,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
sF3 != sF4,
inference(definition_folding,[],[f23,f33,f25,f29,f27,f31,f29,f27,f25]) ).
fof(f35,plain,
sF0 = least_upper_bound(identity,a),
inference(forward_demodulation,[],[f25,f6]) ).
fof(f36,plain,
sF1 = greatest_lower_bound(identity,a),
inference(forward_demodulation,[],[f27,f5]) ).
fof(f60,plain,
! [X0] : inverse(multiply(identity,X0)) = multiply(inverse(X0),identity),
inference(superposition,[],[f20,f18]) ).
fof(f61,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f20,f19]) ).
fof(f68,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f80,plain,
! [X0] : inverse(greatest_lower_bound(identity,X0)) = least_upper_bound(identity,inverse(X0)),
inference(superposition,[],[f21,f18]) ).
fof(f100,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f68,f19]) ).
fof(f105,plain,
! [X0] : inverse(least_upper_bound(identity,X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(superposition,[],[f22,f18]) ).
fof(f130,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f4,f3]) ).
fof(f143,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f130,f1]) ).
fof(f282,plain,
! [X0,X1] : multiply(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(superposition,[],[f14,f100]) ).
fof(f343,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f15,f1]) ).
fof(f418,plain,
! [X0,X1] : greatest_lower_bound(multiply(X0,X1),identity) = multiply(greatest_lower_bound(X0,inverse(X1)),X1),
inference(superposition,[],[f16,f3]) ).
fof(f449,plain,
! [X0,X1] : greatest_lower_bound(identity,multiply(X0,X1)) = multiply(greatest_lower_bound(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f418,f5]) ).
fof(f623,plain,
inverse(sF1) = least_upper_bound(identity,inverse(a)),
inference(superposition,[],[f80,f36]) ).
fof(f650,plain,
sF2 = least_upper_bound(identity,inverse(a)),
inference(forward_demodulation,[],[f623,f29]) ).
fof(f776,plain,
inverse(sF0) = greatest_lower_bound(identity,inverse(a)),
inference(superposition,[],[f105,f35]) ).
fof(f5515,plain,
greatest_lower_bound(identity,multiply(identity,a)) = multiply(inverse(sF0),a),
inference(superposition,[],[f449,f776]) ).
fof(f5578,plain,
multiply(inverse(sF0),a) = multiply(identity,greatest_lower_bound(identity,a)),
inference(forward_demodulation,[],[f5515,f282]) ).
fof(f5600,plain,
greatest_lower_bound(identity,a) = multiply(inverse(sF0),a),
inference(forward_demodulation,[],[f5578,f1]) ).
fof(f5617,plain,
sF1 = multiply(inverse(sF0),a),
inference(forward_demodulation,[],[f5600,f36]) ).
fof(f5630,plain,
inverse(sF1) = multiply(inverse(a),sF0),
inference(superposition,[],[f61,f5617]) ).
fof(f5654,plain,
sF2 = multiply(inverse(a),sF0),
inference(forward_demodulation,[],[f5630,f29]) ).
fof(f6254,plain,
sF0 = multiply(inverse(inverse(a)),sF2),
inference(superposition,[],[f143,f5654]) ).
fof(f6255,plain,
multiply(least_upper_bound(identity,inverse(a)),sF0) = least_upper_bound(sF0,sF2),
inference(superposition,[],[f343,f5654]) ).
fof(f6262,plain,
multiply(sF2,sF0) = least_upper_bound(sF0,sF2),
inference(forward_demodulation,[],[f6255,f650]) ).
fof(f6263,plain,
sF0 = multiply(a,sF2),
inference(forward_demodulation,[],[f6254,f19]) ).
fof(f6276,plain,
sF4 = least_upper_bound(sF0,sF2),
inference(forward_demodulation,[],[f6262,f33]) ).
fof(f6500,plain,
multiply(least_upper_bound(identity,a),sF2) = least_upper_bound(sF2,sF0),
inference(superposition,[],[f343,f6263]) ).
fof(f6507,plain,
least_upper_bound(sF0,sF2) = multiply(least_upper_bound(identity,a),sF2),
inference(forward_demodulation,[],[f6500,f6]) ).
fof(f6519,plain,
multiply(sF0,sF2) = least_upper_bound(sF0,sF2),
inference(forward_demodulation,[],[f6507,f35]) ).
fof(f6527,plain,
multiply(sF0,sF2) = sF4,
inference(forward_demodulation,[],[f6519,f6276]) ).
fof(f6534,plain,
sF3 = sF4,
inference(forward_demodulation,[],[f6527,f31]) ).
fof(f6538,plain,
$false,
inference(forward_subsumption_resolution,[],[f6534,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP184-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.43 % Computer : n010.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 09:36:46 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.46 Running first-order model finding
% 0.22/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.86/4.42 % (698962)Will run a generic schedule for satisfiability detection.
% 27.86/4.42 % (698981)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1576403834:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.86/4.42 % (698980)% WARNING: option uhcvi not known.
% 27.86/4.42 % (698980)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2257157316:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.86/4.42 % (698979)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4114674807_2999 on theBenchmark for (2999ds/0Mi)
% 27.86/4.42 % (698982)dis+10_1_sil=32000:sp=arity:random_seed=3076150743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.86/4.42 % (698986)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=847335558:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.86/4.42 % (698983)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1397956299:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.86/4.42 % (698985)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2459165877:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.86/4.42 % TRYING [1]
% 27.86/4.42 % TRYING [2]
% 27.86/4.42 % TRYING [3]
% 27.86/4.42 % TRYING [4]
% 27.86/4.42 % TRYING [5]
% 27.86/4.42 % (698982)Instruction limit reached!
% 27.86/4.42 % (698982)------------------------------
% 27.86/4.42 % (698982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.42 % (698982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.42 % (698982)CaDiCaL version: 2.1.3
% 27.86/4.42 % (698982)Termination reason: Instruction limit
% 27.86/4.42 % (698982)Termination phase: Saturation
% 27.86/4.42 % (698982)Time elapsed: 0.060 s
% 27.86/4.42 % (698982)Peak memory usage: 12 MB
% 27.86/4.42 % (698982)Instructions burned: 103 (million)
% 27.86/4.42 % (698983)Instruction limit reached!
% 27.86/4.42 % (698983)------------------------------
% 27.86/4.42 % (698983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.42 % (698983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.42 % (698983)CaDiCaL version: 2.1.3
% 27.86/4.42 % (698983)Termination reason: Instruction limit
% 27.86/4.42 % (698983)Termination phase: Saturation
% 27.86/4.42 % (698983)Time elapsed: 0.068 s
% 27.86/4.42 % (698983)Peak memory usage: 12 MB
% 27.86/4.42 % (698983)Instructions burned: 117 (million)
% 27.86/4.42 % (698985)Instruction limit reached!
% 27.86/4.42 % (698985)------------------------------
% 27.86/4.42 % (698985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.42 % (698985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.42 % (698985)CaDiCaL version: 2.1.3
% 27.86/4.42 % (698985)Termination reason: Instruction limit
% 27.86/4.42 % (698985)Termination phase: Saturation
% 27.86/4.42 % (698985)Time elapsed: 0.072 s
% 27.86/4.42 % (698985)Peak memory usage: 13 MB
% 27.86/4.42 % (698985)Instructions burned: 131 (million)
% 27.86/4.42 % (699025)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1071681583:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.86/4.42 % TRYING [1]
% 27.86/4.42 % TRYING [2]
% 27.86/4.42 % TRYING [3]
% 27.86/4.42 % (699029)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=426463740:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 27.86/4.42 % (699033)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=2267797978:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.86/4.42 % TRYING [4]
% 27.86/4.42 % (698986)Instruction limit reached!
% 27.86/4.42 % (698986)------------------------------
% 27.86/4.42 % (698986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.42 % (698986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.42 % (698986)CaDiCaL version: 2.1.3
% 27.86/4.42 % (698986)Termination reason: Instruction limit
% 27.86/4.42 % (698986)Termination phase: Saturation
% 27.86/4.42 % (698986)Time elapsed: 0.097 s
% 27.86/4.42 % (698986)Peak memory usage: 13 MB
% 27.86/4.42 % (698986)Instructions burned: 160 (million)
% 27.86/4.42 % (699042)ott-21_1_sil=16000:fs=off:random_seed=3720764874:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.86/4.42 % TRYING [5]
% 27.86/4.42 % TRYING [6]
% 27.86/4.42 % (699029)Instruction limit reached!
% 27.86/4.42 % (699029)------------------------------
% 27.86/4.42 % (699029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.42 % (699029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699029)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699029)Termination reason: Instruction limit
% 24.20/5.30 % (699029)Termination phase: Saturation
% 24.20/5.30 % (699029)Time elapsed: 0.086 s
% 24.20/5.30 % (699029)Peak memory usage: 13 MB
% 24.20/5.30 % (699029)Instructions burned: 132 (million)
% 24.20/5.30 % (699042)Instruction limit reached!
% 24.20/5.30 % (699042)------------------------------
% 24.20/5.30 % (699042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699042)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699042)Termination reason: Instruction limit
% 24.20/5.30 % (699042)Termination phase: Saturation
% 24.20/5.30 % (699042)Time elapsed: 0.076 s
% 24.20/5.30 % (699042)Peak memory usage: 11 MB
% 24.20/5.30 % (699042)Instructions burned: 180 (million)
% 24.20/5.30 % (699072)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=19495826:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 24.20/5.30 % (699085)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1682133893:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 24.20/5.30 % TRYING [1]
% 24.20/5.30 % TRYING [2]
% 24.20/5.30 % TRYING [3]
% 24.20/5.30 % TRYING [6]
% 24.20/5.30 % TRYING [4]
% 24.20/5.30 % TRYING [5]
% 24.20/5.30 % (699025)Instruction limit reached!
% 24.20/5.30 % (699025)------------------------------
% 24.20/5.30 % (699025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699025)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699025)Termination reason: Instruction limit
% 24.20/5.30 % (699025)Termination phase: Finite model building constraint generation
% 24.20/5.30 % (699025)Time elapsed: 0.265 s
% 24.20/5.30 % (699025)Peak memory usage: 35 MB
% 24.20/5.30 % (699025)Instructions burned: 715 (million)
% 24.20/5.30 % (699106)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1049385358:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 24.20/5.30 % (699072)Instruction limit reached!
% 24.20/5.30 % (699072)------------------------------
% 24.20/5.30 % (699072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699072)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699072)Termination reason: Instruction limit
% 24.20/5.30 % (699072)Termination phase: Saturation
% 24.20/5.30 % (699072)Time elapsed: 0.261 s
% 24.20/5.30 % (699072)Peak memory usage: 15 MB
% 24.20/5.30 % (699072)Instructions burned: 478 (million)
% 24.20/5.30 % (699033)Instruction limit reached!
% 24.20/5.30 % (699033)------------------------------
% 24.20/5.30 % (699033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699033)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699033)Termination reason: Instruction limit
% 24.20/5.30 % (699033)Termination phase: Saturation
% 24.20/5.30 % (699033)Time elapsed: 0.364 s
% 24.20/5.30 % (699033)Peak memory usage: 17 MB
% 24.20/5.30 % (699033)Instructions burned: 684 (million)
% 24.20/5.30 % (699108)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=857430898:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 24.20/5.30 % (699109)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=3599277095:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 24.20/5.30 % (699085)Instruction limit reached!
% 24.20/5.30 % (699085)------------------------------
% 24.20/5.30 % (699085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699085)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699085)Termination reason: Instruction limit
% 24.20/5.30 % (699085)Termination phase: Finite model building SAT solving
% 24.20/5.30 % (699085)Time elapsed: 0.329 s
% 24.20/5.30 % (699085)Peak memory usage: 23 MB
% 24.20/5.30 % (699085)Instructions burned: 865 (million)
% 24.20/5.30 % (699112)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2526854164:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 24.20/5.30 % TRYING [7]
% 24.20/5.30 % TRYING [14]
% 24.20/5.30 % (699108)Instruction limit reached!
% 24.20/5.30 % (699108)------------------------------
% 24.20/5.30 % (699108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699108)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699108)Termination reason: Instruction limit
% 24.20/5.30 % (699108)Termination phase: Finite model building constraint generation
% 24.20/5.30 % (699108)Time elapsed: 0.372 s
% 24.20/5.30 % (699108)Peak memory usage: 93 MB
% 24.20/5.30 % (699108)Instructions burned: 892 (million)
% 24.20/5.30 % (699114)fmb+10_1_sil=64000:random_seed=1850427567:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 24.20/5.30 % (699109)Instruction limit reached!
% 24.20/5.30 % (699109)------------------------------
% 24.20/5.30 % (699109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699109)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699109)Termination reason: Instruction limit
% 24.20/5.30 % (699109)Termination phase: Saturation
% 24.20/5.30 % (699109)Time elapsed: 0.403 s
% 24.20/5.30 % (699109)Peak memory usage: 18 MB
% 24.20/5.30 % (699109)Instructions burned: 693 (million)
% 24.20/5.30 % TRYING [1]
% 24.20/5.30 % TRYING [2]
% 24.20/5.30 % TRYING [3]
% 24.20/5.30 % (699116)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2667687094:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 24.20/5.30 % TRYING [20]
% 24.20/5.30 % TRYING [4]
% 24.20/5.30 % TRYING [5]
% 24.20/5.30 % (699112)Instruction limit reached!
% 24.20/5.30 % (699112)------------------------------
% 24.20/5.30 % (699112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699112)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699112)Termination reason: Instruction limit
% 24.20/5.30 % (699112)Termination phase: Saturation
% 24.20/5.30 % (699112)Time elapsed: 0.464 s
% 24.20/5.30 % (699112)Peak memory usage: 19 MB
% 24.20/5.30 % (699112)Instructions burned: 879 (million)
% 24.20/5.30 % (699106)Instruction limit reached!
% 24.20/5.30 % (699106)------------------------------
% 24.20/5.30 % (699106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699106)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699106)Termination reason: Instruction limit
% 24.20/5.30 % (699106)Termination phase: Saturation
% 24.20/5.30 % (699106)Time elapsed: 0.669 s
% 24.20/5.30 % (699106)Peak memory usage: 21 MB
% 24.20/5.30 % (699106)Instructions burned: 1180 (million)
% 24.20/5.30 % (699118)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2077991376:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 24.20/5.30 % TRYING [8]
% 24.20/5.30 % (699119)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3396116924:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 24.20/5.30 % TRYING [6]
% 24.20/5.30 % (699118)Instruction limit reached!
% 24.20/5.30 % (699118)------------------------------
% 24.20/5.30 % (699118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699118)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699118)Termination reason: Instruction limit
% 24.20/5.30 % (699118)Termination phase: Finite model building constraint generation
% 24.20/5.30 % (699118)Time elapsed: 0.351 s
% 24.20/5.30 % (699118)Peak memory usage: 80 MB
% 24.20/5.30 % (699118)Instructions burned: 923 (million)
% 24.20/5.30 % (699122)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2345320881:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 24.20/5.30 % TRYING [7]
% 24.20/5.30 % (699122)Instruction limit reached!
% 24.20/5.30 % (699122)------------------------------
% 24.20/5.30 % (699122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699122)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699122)Termination reason: Instruction limit
% 24.20/5.30 % (699122)Termination phase: Saturation
% 24.20/5.30 % (699122)Time elapsed: 0.753 s
% 24.20/5.30 % (699122)Peak memory usage: 28 MB
% 24.20/5.30 % (699122)Instructions burned: 1474 (million)
% 24.20/5.30 % (699124)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2810784992:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 24.20/5.30 % TRYING [77]
% 24.20/5.30 % TRYING [8]
% 24.20/5.30 % (699119)Instruction limit reached!
% 24.20/5.30 % (699119)------------------------------
% 24.20/5.30 % (699119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699119)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699119)Termination reason: Instruction limit
% 24.20/5.30 % (699119)Termination phase: Saturation
% 24.20/5.30 % (699119)Time elapsed: 2.853 s
% 24.20/5.30 % (699119)Peak memory usage: 52 MB
% 24.20/5.30 % (699119)Instructions burned: 5133 (million)
% 24.20/5.30 % (699126)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3258337219:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 24.20/5.30 % TRYING [16]
% 24.20/5.30 % TRYING [8]
% 24.20/5.30 % (699116)Instruction limit reached!
% 24.20/5.30 % (699116)------------------------------
% 24.20/5.30 % (699116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699116)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699116)Termination reason: Instruction limit
% 24.20/5.30 % (699116)Termination phase: Finite model building constraint generation
% 24.20/5.30 % (699116)Time elapsed: 3.464 s
% 24.20/5.30 % (699116)Peak memory usage: 671 MB
% 24.20/5.30 % (699116)Instructions burned: 9516 (million)
% 24.20/5.30 % (699128)ott-2_1_sil=16000:newcnf=on:random_seed=3058542864:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 24.20/5.30 % (699124)Instruction limit reached!
% 24.20/5.30 % (699124)------------------------------
% 24.20/5.30 % (699124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699124)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699124)Termination reason: Instruction limit
% 24.20/5.30 % (699124)Termination phase: Finite model building constraint generation
% 24.20/5.30 % (699124)Time elapsed: 2.352 s
% 24.20/5.30 % (699124)Peak memory usage: 515 MB
% 24.20/5.30 % (699124)Instructions burned: 6326 (million)
% 24.20/5.30 % (699130)ott+10_1_sil=32000:tgt=ground:random_seed=3794888301:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 24.20/5.30 % (699126)Instruction limit reached!
% 24.20/5.30 % (699126)------------------------------
% 24.20/5.30 % (699126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699126)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699126)Termination reason: Instruction limit
% 24.20/5.30 % (699126)Termination phase: Finite model building constraint generation
% 24.20/5.30 % (699126)Time elapsed: 0.739 s
% 24.20/5.30 % (699126)Peak memory usage: 134 MB
% 24.20/5.30 % (699126)Instructions burned: 2176 (million)
% 24.20/5.30 % (699132)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4294667250:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 24.20/5.30 % TRYING [1]
% 24.20/5.30 % TRYING [2]
% 24.20/5.30 % TRYING [3]
% 24.20/5.30 % TRYING [4]
% 24.20/5.30 % TRYING [5]
% 24.20/5.30 % (699130) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-698962-699130"...
% 24.20/5.30 % (699130)...printing done.
% 24.20/5.30 % (699130)Refutation found. Thanks to Tanya!
% 24.20/5.30 % SZS status Unsatisfiable for theBenchmark
% 24.20/5.30 % SZS output start Proof for theBenchmark
% See solution above
% 24.20/5.30 % (699130)------------------------------
% 24.20/5.30 % (699130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.20/5.30 % (699130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.20/5.30 % (699130)CaDiCaL version: 2.1.3
% 24.20/5.30 % (699130)Termination reason: Refutation
% 24.20/5.30 % (699130)Time elapsed: 0.131 s
% 24.20/5.30 % (699130)Peak memory usage: 14 MB
% 24.20/5.30 % (699130)Instructions burned: 222 (million)
% 24.20/5.30 % (698962)Success in time 4.832 s
% 24.20/5.30 % Vampire exiting
%------------------------------------------------------------------------------