%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP178-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 10:17:04 AM UTC 2026
% Result : Unsatisfiable 42.98s 6.59s
% Output : Refutation 42.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 60 ( 60 unt; 3 def)
% Number of atoms : 60 ( 59 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 : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
fof(f7,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
fof(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
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/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).
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/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
fof(f19,axiom,
greatest_lower_bound(identity,b) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p09b_2) ).
fof(f20,plain,
identity = greatest_lower_bound(identity,b),
inference(reorient_equations,[],[f19]) ).
fof(f21,axiom,
greatest_lower_bound(identity,c) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p09b_3) ).
fof(f22,plain,
identity = greatest_lower_bound(identity,c),
inference(reorient_equations,[],[f21]) ).
fof(f23,axiom,
greatest_lower_bound(a,b) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p09b_4) ).
fof(f24,plain,
identity = greatest_lower_bound(a,b),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
greatest_lower_bound(a,multiply(b,c)) != greatest_lower_bound(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p09b) ).
fof(f26,definition,
sF0 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f27,plain,
multiply(b,c) = sF0,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF1 = greatest_lower_bound(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f29,plain,
greatest_lower_bound(a,sF0) = sF1,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF2 = greatest_lower_bound(a,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f31,plain,
greatest_lower_bound(a,c) = sF2,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
sF1 != sF2,
inference(definition_folding,[],[f25,f31,f29,f27]) ).
fof(f41,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f51,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f51,f1]) ).
fof(f62,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(identity,greatest_lower_bound(b,X0)),
inference(superposition,[],[f7,f20]) ).
fof(f65,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(a,greatest_lower_bound(b,X0)),
inference(superposition,[],[f7,f24]) ).
fof(f66,plain,
! [X0] : greatest_lower_bound(a,greatest_lower_bound(sF0,X0)) = greatest_lower_bound(sF1,X0),
inference(superposition,[],[f7,f29]) ).
fof(f105,plain,
c = least_upper_bound(c,identity),
inference(superposition,[],[f41,f22]) ).
fof(f115,plain,
c = least_upper_bound(identity,c),
inference(forward_demodulation,[],[f105,f6]) ).
fof(f122,plain,
! [X0] : multiply(b,least_upper_bound(c,X0)) = least_upper_bound(sF0,multiply(b,X0)),
inference(superposition,[],[f13,f27]) ).
fof(f208,plain,
! [X0] : multiply(greatest_lower_bound(b,X0),c) = greatest_lower_bound(sF0,multiply(X0,c)),
inference(superposition,[],[f16,f27]) ).
fof(f267,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f53,f3]) ).
fof(f268,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f53,f53]) ).
fof(f282,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f267,f268]) ).
fof(f309,plain,
! [X0] : greatest_lower_bound(identity,b) = greatest_lower_bound(identity,least_upper_bound(b,X0)),
inference(superposition,[],[f62,f12]) ).
fof(f317,plain,
! [X0] : identity = greatest_lower_bound(identity,least_upper_bound(b,X0)),
inference(forward_demodulation,[],[f309,f20]) ).
fof(f324,plain,
! [X0,X1] : multiply(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(superposition,[],[f14,f282]) ).
fof(f356,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(a,greatest_lower_bound(X0,b)),
inference(superposition,[],[f65,f5]) ).
fof(f1735,plain,
multiply(b,least_upper_bound(c,identity)) = least_upper_bound(sF0,b),
inference(superposition,[],[f122,f282]) ).
fof(f1751,plain,
multiply(b,least_upper_bound(c,identity)) = least_upper_bound(b,sF0),
inference(forward_demodulation,[],[f1735,f6]) ).
fof(f1756,plain,
least_upper_bound(b,sF0) = multiply(b,least_upper_bound(identity,c)),
inference(forward_demodulation,[],[f1751,f6]) ).
fof(f1759,plain,
multiply(b,c) = least_upper_bound(b,sF0),
inference(forward_demodulation,[],[f1756,f115]) ).
fof(f1760,plain,
sF0 = least_upper_bound(b,sF0),
inference(forward_demodulation,[],[f1759,f27]) ).
fof(f1761,plain,
identity = greatest_lower_bound(identity,sF0),
inference(superposition,[],[f317,f1760]) ).
fof(f2310,plain,
! [X0] : greatest_lower_bound(sF1,multiply(X0,c)) = greatest_lower_bound(a,multiply(greatest_lower_bound(b,X0),c)),
inference(superposition,[],[f66,f208]) ).
fof(f6751,plain,
greatest_lower_bound(identity,sF0) = greatest_lower_bound(sF1,b),
inference(superposition,[],[f66,f356]) ).
fof(f6786,plain,
greatest_lower_bound(identity,sF0) = greatest_lower_bound(b,sF1),
inference(forward_demodulation,[],[f6751,f5]) ).
fof(f6802,plain,
identity = greatest_lower_bound(b,sF1),
inference(forward_demodulation,[],[f6786,f1761]) ).
fof(f85493,plain,
greatest_lower_bound(a,multiply(identity,c)) = greatest_lower_bound(sF1,multiply(sF1,c)),
inference(superposition,[],[f2310,f6802]) ).
fof(f85659,plain,
greatest_lower_bound(a,multiply(identity,c)) = multiply(sF1,greatest_lower_bound(identity,c)),
inference(forward_demodulation,[],[f85493,f324]) ).
fof(f85711,plain,
multiply(sF1,identity) = greatest_lower_bound(a,multiply(identity,c)),
inference(forward_demodulation,[],[f85659,f22]) ).
fof(f85736,plain,
greatest_lower_bound(a,c) = multiply(sF1,identity),
inference(forward_demodulation,[],[f85711,f1]) ).
fof(f85748,plain,
greatest_lower_bound(a,c) = sF1,
inference(forward_demodulation,[],[f85736,f282]) ).
fof(f85764,plain,
sF1 = sF2,
inference(superposition,[],[f31,f85748]) ).
fof(f85861,plain,
$false,
inference(forward_subsumption_resolution,[],[f85764,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP178-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n009.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:36:00 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.95/2.50 % (1775990)Will run a generic schedule for satisfiability detection.
% 13.95/2.50 % (1776003)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=127931000:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.95/2.50 % (1775999)% WARNING: option uhcvi not known.
% 13.95/2.50 % (1775999)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2778026624:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.95/2.50 % (1775998)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=308849734_2999 on theBenchmark for (2999ds/0Mi)
% 13.95/2.50 % (1776002)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4096842367:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.95/2.50 % (1776000)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3231698941:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.95/2.50 % (1776001)dis+10_1_sil=32000:sp=arity:random_seed=1355896696:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.95/2.50 % (1776005)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=887061691:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.95/2.50 % TRYING [1]
% 13.95/2.50 % TRYING [2]
% 13.95/2.50 % TRYING [3]
% 13.95/2.50 % TRYING [4]
% 13.95/2.50 % (1776003)Instruction limit reached!
% 13.95/2.50 % (1776003)------------------------------
% 13.95/2.50 % (1776003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/2.50 % (1776003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/2.50 % (1776003)CaDiCaL version: 2.1.3
% 13.95/2.50 % (1776003)Termination reason: Instruction limit
% 13.95/2.50 % (1776003)Termination phase: Saturation
% 13.95/2.50 % (1776003)Time elapsed: 0.044 s
% 13.95/2.50 % (1776003)Peak memory usage: 13 MB
% 13.95/2.50 % (1776003)Instructions burned: 134 (million)
% 13.95/2.50 % TRYING [5]
% 13.95/2.50 % (1776032)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2931898073:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.95/2.50 % TRYING [1]
% 13.95/2.50 % TRYING [2]
% 13.95/2.50 % TRYING [3]
% 13.95/2.50 % TRYING [4]
% 13.95/2.50 % (1776001)Instruction limit reached!
% 13.95/2.50 % (1776001)------------------------------
% 13.95/2.50 % (1776001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/2.50 % (1776001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/2.50 % (1776001)CaDiCaL version: 2.1.3
% 13.95/2.50 % (1776001)Termination reason: Instruction limit
% 13.95/2.50 % (1776001)Termination phase: Saturation
% 13.95/2.50 % (1776001)Time elapsed: 0.058 s
% 13.95/2.50 % (1776001)Peak memory usage: 12 MB
% 13.95/2.50 % (1776001)Instructions burned: 103 (million)
% 13.95/2.50 % (1776002)Instruction limit reached!
% 13.95/2.50 % (1776002)------------------------------
% 13.95/2.50 % (1776002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/2.50 % (1776002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/2.50 % (1776002)CaDiCaL version: 2.1.3
% 13.95/2.50 % (1776002)Termination reason: Instruction limit
% 13.95/2.50 % (1776002)Termination phase: Saturation
% 13.95/2.50 % (1776002)Time elapsed: 0.070 s
% 13.95/2.50 % (1776002)Peak memory usage: 12 MB
% 13.95/2.50 % (1776002)Instructions burned: 117 (million)
% 13.95/2.50 % TRYING [5]
% 13.95/2.50 % (1776042)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2742305427:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.95/2.50 % (1776043)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=1210391608:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.95/2.50 % (1776005)Instruction limit reached!
% 13.95/2.50 % (1776005)------------------------------
% 13.95/2.50 % (1776005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/2.50 % (1776005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/2.50 % (1776005)CaDiCaL version: 2.1.3
% 13.95/2.50 % (1776005)Termination reason: Instruction limit
% 13.95/2.50 % (1776005)Termination phase: Saturation
% 13.95/2.50 % (1776005)Time elapsed: 0.094 s
% 13.95/2.50 % (1776005)Peak memory usage: 12 MB
% 13.95/2.50 % (1776005)Instructions burned: 159 (million)
% 13.95/2.50 % (1776052)ott-21_1_sil=16000:fs=off:random_seed=3844003716:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.95/2.50 % TRYING [6]
% 13.95/2.50 % TRYING [6]
% 13.95/2.50 % (1776042)Instruction limit reached!
% 13.95/2.50 % (1776042)------------------------------
% 13.95/2.50 % (1776042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776042)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776042)Termination reason: Instruction limit
% 42.98/6.59 % (1776042)Termination phase: Saturation
% 42.98/6.59 % (1776042)Time elapsed: 0.084 s
% 42.98/6.59 % (1776042)Peak memory usage: 13 MB
% 42.98/6.59 % (1776042)Instructions burned: 131 (million)
% 42.98/6.59 % (1776066)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2690215673:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 42.98/6.59 % (1776052)Instruction limit reached!
% 42.98/6.59 % (1776052)------------------------------
% 42.98/6.59 % (1776052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776052)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776052)Termination reason: Instruction limit
% 42.98/6.59 % (1776052)Termination phase: Saturation
% 42.98/6.59 % (1776052)Time elapsed: 0.081 s
% 42.98/6.59 % (1776052)Peak memory usage: 12 MB
% 42.98/6.59 % (1776052)Instructions burned: 181 (million)
% 42.98/6.59 % (1776032)Instruction limit reached!
% 42.98/6.59 % (1776032)------------------------------
% 42.98/6.59 % (1776032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776032)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776032)Termination reason: Instruction limit
% 42.98/6.59 % (1776032)Termination phase: Finite model building constraint generation
% 42.98/6.59 % (1776032)Time elapsed: 0.148 s
% 42.98/6.59 % (1776032)Peak memory usage: 36 MB
% 42.98/6.59 % (1776032)Instructions burned: 719 (million)
% 42.98/6.59 % (1776078)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=908678288:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 42.98/6.59 % (1776076)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2903623313:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 42.98/6.59 % TRYING [1]
% 42.98/6.59 % TRYING [2]
% 42.98/6.59 % TRYING [3]
% 42.98/6.59 % TRYING [4]
% 42.98/6.59 % TRYING [5]
% 42.98/6.59 % (1776066)Instruction limit reached!
% 42.98/6.59 % (1776066)------------------------------
% 42.98/6.59 % (1776066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776066)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776066)Termination reason: Instruction limit
% 42.98/6.59 % (1776066)Termination phase: Saturation
% 42.98/6.59 % (1776066)Time elapsed: 0.257 s
% 42.98/6.59 % (1776066)Peak memory usage: 15 MB
% 42.98/6.59 % (1776066)Instructions burned: 477 (million)
% 42.98/6.59 % (1776043)Instruction limit reached!
% 42.98/6.59 % (1776043)------------------------------
% 42.98/6.59 % (1776043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776043)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776043)Termination reason: Instruction limit
% 42.98/6.59 % (1776043)Termination phase: Saturation
% 42.98/6.59 % (1776043)Time elapsed: 0.351 s
% 42.98/6.59 % (1776043)Peak memory usage: 17 MB
% 42.98/6.59 % (1776043)Instructions burned: 684 (million)
% 42.98/6.59 % (1776139)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=240693301:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 42.98/6.59 % (1776140)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=2169267858: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)
% 42.98/6.59 % TRYING [6]
% 42.98/6.59 % (1776076)Instruction limit reached!
% 42.98/6.59 % (1776076)------------------------------
% 42.98/6.59 % (1776076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776076)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776076)Termination reason: Instruction limit
% 42.98/6.59 % (1776076)Termination phase: Finite model building constraint generation
% 42.98/6.59 % (1776076)Time elapsed: 0.320 s
% 42.98/6.59 % (1776076)Peak memory usage: 22 MB
% 42.98/6.59 % (1776076)Instructions burned: 867 (million)
% 42.98/6.59 % (1776078)Instruction limit reached!
% 42.98/6.59 % (1776078)------------------------------
% 42.98/6.59 % (1776078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776078)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776078)Termination reason: Instruction limit
% 42.98/6.59 % (1776078)Termination phase: Saturation
% 42.98/6.59 % (1776078)Time elapsed: 0.346 s
% 42.98/6.59 % (1776078)Peak memory usage: 23 MB
% 42.98/6.59 % (1776078)Instructions burned: 1181 (million)
% 42.98/6.59 % (1776143)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=434068852:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 42.98/6.59 % (1776145)fmb+10_1_sil=64000:random_seed=3058929238:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 42.98/6.59 % TRYING [1]
% 42.98/6.59 % TRYING [2]
% 42.98/6.59 % TRYING [3]
% 42.98/6.59 % TRYING [4]
% 42.98/6.59 % TRYING [5]
% 42.98/6.59 % TRYING [14]
% 42.98/6.59 % TRYING [6]
% 42.98/6.59 % TRYING [7]
% 42.98/6.59 % (1776139)Instruction limit reached!
% 42.98/6.59 % (1776139)------------------------------
% 42.98/6.59 % (1776139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776139)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776139)Termination reason: Instruction limit
% 42.98/6.59 % (1776139)Termination phase: Finite model building constraint generation
% 42.98/6.59 % (1776139)Time elapsed: 0.367 s
% 42.98/6.59 % (1776139)Peak memory usage: 91 MB
% 42.98/6.59 % (1776139)Instructions burned: 891 (million)
% 42.98/6.59 % (1776140)Instruction limit reached!
% 42.98/6.59 % (1776140)------------------------------
% 42.98/6.59 % (1776140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776140)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776140)Termination reason: Instruction limit
% 42.98/6.59 % (1776140)Termination phase: Saturation
% 42.98/6.59 % (1776140)Time elapsed: 0.392 s
% 42.98/6.59 % (1776140)Peak memory usage: 18 MB
% 42.98/6.59 % (1776140)Instructions burned: 693 (million)
% 42.98/6.59 % (1776147)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1102242705:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 42.98/6.59 % TRYING [20]
% 42.98/6.59 % (1776148)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2249061628:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 42.98/6.59 % TRYING [8]
% 42.98/6.59 % (1776143)Instruction limit reached!
% 42.98/6.59 % (1776143)------------------------------
% 42.98/6.59 % (1776143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776143)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776143)Termination reason: Instruction limit
% 42.98/6.59 % (1776143)Termination phase: Saturation
% 42.98/6.59 % (1776143)Time elapsed: 0.471 s
% 42.98/6.59 % (1776143)Peak memory usage: 19 MB
% 42.98/6.59 % (1776143)Instructions burned: 880 (million)
% 42.98/6.59 % (1776151)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=268966267:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 42.98/6.59 % TRYING [7]
% 42.98/6.59 % (1776148)Instruction limit reached!
% 42.98/6.59 % (1776148)------------------------------
% 42.98/6.59 % (1776148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776148)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776148)Termination reason: Instruction limit
% 42.98/6.59 % (1776148)Termination phase: Finite model building constraint generation
% 42.98/6.59 % (1776148)Time elapsed: 0.344 s
% 42.98/6.59 % (1776148)Peak memory usage: 73 MB
% 42.98/6.59 % (1776148)Instructions burned: 921 (million)
% 42.98/6.59 % (1776153)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2830844330:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 42.98/6.59 % (1776153)Instruction limit reached!
% 42.98/6.59 % (1776153)------------------------------
% 42.98/6.59 % (1776153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776153)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776153)Termination reason: Instruction limit
% 42.98/6.59 % (1776153)Termination phase: Saturation
% 42.98/6.59 % (1776153)Time elapsed: 0.761 s
% 42.98/6.59 % (1776153)Peak memory usage: 30 MB
% 42.98/6.59 % (1776153)Instructions burned: 1473 (million)
% 42.98/6.59 % (1776155)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2253413408:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 42.98/6.59 % TRYING [77]
% 42.98/6.59 % TRYING [8]
% 42.98/6.59 % (1776151)Instruction limit reached!
% 42.98/6.59 % (1776151)------------------------------
% 42.98/6.59 % (1776151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776151)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776151)Termination reason: Instruction limit
% 42.98/6.59 % (1776151)Termination phase: Saturation
% 42.98/6.59 % (1776151)Time elapsed: 2.769 s
% 42.98/6.59 % (1776151)Peak memory usage: 52 MB
% 42.98/6.59 % (1776151)Instructions burned: 5131 (million)
% 42.98/6.59 % (1776157)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2859831767:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 42.98/6.59 % TRYING [16]
% 42.98/6.59 % TRYING [8]
% 42.98/6.59 % (1776147)Instruction limit reached!
% 42.98/6.59 % (1776147)------------------------------
% 42.98/6.59 % (1776147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776147)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776147)Termination reason: Instruction limit
% 42.98/6.59 % (1776147)Termination phase: Finite model building constraint generation
% 42.98/6.59 % (1776147)Time elapsed: 3.481 s
% 42.98/6.59 % (1776147)Peak memory usage: 667 MB
% 42.98/6.59 % (1776147)Instructions burned: 9518 (million)
% 42.98/6.59 % (1776155)Instruction limit reached!
% 42.98/6.59 % (1776155)------------------------------
% 42.98/6.59 % (1776155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776155)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776155)Termination reason: Instruction limit
% 42.98/6.59 % (1776155)Termination phase: Finite model building constraint generation
% 42.98/6.59 % (1776155)Time elapsed: 2.410 s
% 42.98/6.59 % (1776155)Peak memory usage: 443 MB
% 42.98/6.59 % (1776155)Instructions burned: 6325 (million)
% 42.98/6.59 % (1776159)ott-2_1_sil=16000:newcnf=on:random_seed=2574903094:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 42.98/6.59 % (1776161)ott+10_1_sil=32000:tgt=ground:random_seed=3047034862:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 42.98/6.59 % (1776157)Instruction limit reached!
% 42.98/6.59 % (1776157)------------------------------
% 42.98/6.59 % (1776157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776157)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776157)Termination reason: Instruction limit
% 42.98/6.59 % (1776157)Termination phase: Finite model building constraint generation
% 42.98/6.59 % (1776157)Time elapsed: 0.733 s
% 42.98/6.59 % (1776157)Peak memory usage: 132 MB
% 42.98/6.59 % (1776157)Instructions burned: 2174 (million)
% 42.98/6.59 % (1776163)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1770334375:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 42.98/6.59 % TRYING [1]
% 42.98/6.59 % TRYING [2]
% 42.98/6.59 % TRYING [3]
% 42.98/6.59 % TRYING [4]
% 42.98/6.59 % TRYING [5]
% 42.98/6.59 % TRYING [6]
% 42.98/6.59 % (1776159)Instruction limit reached!
% 42.98/6.59 % (1776159)------------------------------
% 42.98/6.59 % (1776159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776159)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776159)Termination reason: Instruction limit
% 42.98/6.59 % (1776159)Termination phase: Saturation
% 42.98/6.59 % (1776159)Time elapsed: 0.518 s
% 42.98/6.59 % (1776159)Peak memory usage: 21 MB
% 42.98/6.59 % (1776159)Instructions burned: 869 (million)
% 42.98/6.59 % (1776165)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1745822079:i=3512:aac=none_2949 on theBenchmark for (2949ds/3512Mi)
% 42.98/6.59 % TRYING [7]
% 42.98/6.59 % (1776161) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1775990-1776161"...
% 42.98/6.59 % (1776161)...printing done.
% 42.98/6.59 % (1776161)Refutation found. Thanks to Tanya!
% 42.98/6.59 % SZS status Unsatisfiable for theBenchmark
% 42.98/6.59 % SZS output start Proof for theBenchmark
% See solution above
% 42.98/6.59 % (1776161)------------------------------
% 42.98/6.59 % (1776161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.98/6.59 % (1776161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.98/6.59 % (1776161)CaDiCaL version: 2.1.3
% 42.98/6.59 % (1776161)Termination reason: Refutation
% 42.98/6.59 % (1776161)Time elapsed: 1.576 s
% 42.98/6.59 % (1776161)Peak memory usage: 38 MB
% 42.98/6.59 % (1776161)Instructions burned: 2728 (million)
% 42.98/6.59 % (1775990)Success in time 6.162 s
% 42.98/6.59 % Vampire exiting
%------------------------------------------------------------------------------