%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP172-1 : 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 10:17:02 AM UTC 2026
% Result : Unsatisfiable 1.38s 0.68s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
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(f15,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
fof(f17,axiom,
greatest_lower_bound(identity,a) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p04b_1) ).
fof(f18,plain,
identity = greatest_lower_bound(identity,a),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
greatest_lower_bound(identity,b) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p04b_2) ).
fof(f20,plain,
identity = greatest_lower_bound(identity,b),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
greatest_lower_bound(identity,multiply(a,b)) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p04b) ).
fof(f22,plain,
identity != greatest_lower_bound(identity,multiply(a,b)),
inference(reorient_equations,[],[f21]) ).
fof(f26,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f33,plain,
a = least_upper_bound(a,identity),
inference(superposition,[],[f26,f18]) ).
fof(f42,plain,
a = least_upper_bound(identity,a),
inference(forward_demodulation,[],[f33,f6]) ).
fof(f709,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(identity,greatest_lower_bound(b,X0)),
inference(superposition,[],[f7,f20]) ).
fof(f11380,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f15,f1]) ).
fof(f11501,plain,
! [X0,X1] : greatest_lower_bound(X1,multiply(least_upper_bound(identity,X0),X1)) = X1,
inference(superposition,[],[f12,f11380]) ).
fof(f11596,plain,
! [X0] : greatest_lower_bound(X0,multiply(a,X0)) = X0,
inference(superposition,[],[f11501,f42]) ).
fof(f11823,plain,
greatest_lower_bound(identity,b) = greatest_lower_bound(identity,multiply(a,b)),
inference(superposition,[],[f709,f11596]) ).
fof(f11824,plain,
identity = greatest_lower_bound(identity,multiply(a,b)),
inference(forward_demodulation,[],[f11823,f20]) ).
fof(f11871,plain,
$false,
inference(forward_subsumption_resolution,[],[f11824,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP172-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:35:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 1.38/0.68 % (1774431)Will run a generic schedule for satisfiability detection.
% 1.38/0.68 % (1774442)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2972166748:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.38/0.68 % (1774437)% WARNING: option uhcvi not known.
% 1.38/0.68 % (1774436)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2139946495_2999 on theBenchmark for (2999ds/0Mi)
% 1.38/0.68 % (1774439)dis+10_1_sil=32000:sp=arity:random_seed=205475207:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.38/0.68 % (1774437)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1031285715:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.38/0.68 % (1774438)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3304301301:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.38/0.68 % (1774440)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=850169332:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.38/0.68 % (1774441)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2871341833:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.38/0.68 % TRYING [1]
% 1.38/0.68 % TRYING [2]
% 1.38/0.68 % TRYING [3]
% 1.38/0.68 % TRYING [4]
% 1.38/0.68 % TRYING [5]
% 1.38/0.68 % (1774442)Instruction limit reached!
% 1.38/0.68 % (1774442)------------------------------
% 1.38/0.68 % (1774442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.68 % (1774442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.68 % (1774442)CaDiCaL version: 2.1.3
% 1.38/0.68 % (1774442)Termination reason: Instruction limit
% 1.38/0.68 % (1774442)Termination phase: Saturation
% 1.38/0.68 % (1774442)Time elapsed: 0.052 s
% 1.38/0.68 % (1774442)Peak memory usage: 12 MB
% 1.38/0.68 % (1774442)Instructions burned: 161 (million)
% 1.38/0.68 % (1774450)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3785139664:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.38/0.68 % TRYING [1]
% 1.38/0.68 % TRYING [2]
% 1.38/0.68 % TRYING [3]
% 1.38/0.68 % (1774439)Instruction limit reached!
% 1.38/0.68 % (1774439)------------------------------
% 1.38/0.68 % (1774439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.68 % (1774439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.68 % (1774439)CaDiCaL version: 2.1.3
% 1.38/0.68 % (1774439)Termination reason: Instruction limit
% 1.38/0.68 % (1774439)Termination phase: Saturation
% 1.38/0.68 % (1774439)Time elapsed: 0.059 s
% 1.38/0.68 % (1774439)Peak memory usage: 12 MB
% 1.38/0.68 % (1774439)Instructions burned: 104 (million)
% 1.38/0.68 % TRYING [4]
% 1.38/0.68 % (1774440)Instruction limit reached!
% 1.38/0.68 % (1774440)------------------------------
% 1.38/0.68 % (1774440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.68 % (1774440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.68 % (1774440)CaDiCaL version: 2.1.3
% 1.38/0.68 % (1774440)Termination reason: Instruction limit
% 1.38/0.68 % (1774440)Termination phase: Saturation
% 1.38/0.68 % (1774440)Time elapsed: 0.069 s
% 1.38/0.68 % (1774440)Peak memory usage: 12 MB
% 1.38/0.68 % (1774440)Instructions burned: 117 (million)
% 1.38/0.68 % TRYING [5]
% 1.38/0.68 % (1774452)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2446717383:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.38/0.68 % (1774441)Instruction limit reached!
% 1.38/0.68 % (1774441)------------------------------
% 1.38/0.68 % (1774441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.68 % (1774441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.68 % (1774441)CaDiCaL version: 2.1.3
% 1.38/0.68 % (1774441)Termination reason: Instruction limit
% 1.38/0.68 % (1774441)Termination phase: Saturation
% 1.38/0.68 % (1774441)Time elapsed: 0.079 s
% 1.38/0.68 % (1774441)Peak memory usage: 13 MB
% 1.38/0.68 % (1774441)Instructions burned: 131 (million)
% 1.38/0.68 % (1774453)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=932803092:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.38/0.68 % (1774455)ott-21_1_sil=16000:fs=off:random_seed=604025938:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.38/0.68 % TRYING [6]
% 1.38/0.68 % TRYING [6]
% 1.38/0.68 % (1774452)Instruction limit reached!
% 1.38/0.68 % (1774452)------------------------------
% 1.38/0.68 % (1774452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.68 % (1774452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.68 % (1774452)CaDiCaL version: 2.1.3
% 1.38/0.68 % (1774452)Termination reason: Instruction limit
% 1.38/0.68 % (1774452)Termination phase: Saturation
% 1.38/0.68 % (1774452)Time elapsed: 0.084 s
% 1.38/0.68 % (1774452)Peak memory usage: 13 MB
% 1.38/0.68 % (1774452)Instructions burned: 131 (million)
% 1.38/0.68 % (1774455)Instruction limit reached!
% 1.38/0.68 % (1774455)------------------------------
% 1.38/0.68 % (1774455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.68 % (1774455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.68 % (1774455)CaDiCaL version: 2.1.3
% 1.38/0.68 % (1774455)Termination reason: Instruction limit
% 1.38/0.68 % (1774455)Termination phase: Saturation
% 1.38/0.68 % (1774455)Time elapsed: 0.079 s
% 1.38/0.68 % (1774455)Peak memory usage: 12 MB
% 1.38/0.68 % (1774455)Instructions burned: 180 (million)
% 1.38/0.68 % (1774458)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3600832300:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.38/0.68 % (1774450)Instruction limit reached!
% 1.38/0.68 % (1774450)------------------------------
% 1.38/0.68 % (1774450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.68 % (1774450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.68 % (1774450)CaDiCaL version: 2.1.3
% 1.38/0.68 % (1774450)Termination reason: Instruction limit
% 1.38/0.68 % (1774450)Termination phase: Finite model building SAT solving
% 1.38/0.68 % (1774450)Time elapsed: 0.143 s
% 1.38/0.68 % (1774450)Peak memory usage: 39 MB
% 1.38/0.68 % (1774450)Instructions burned: 714 (million)
% 1.38/0.68 % (1774459)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1301275042:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.38/0.68 % TRYING [1]
% 1.38/0.68 % TRYING [2]
% 1.38/0.68 % TRYING [3]
% 1.38/0.68 % (1774462)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2092143087:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.38/0.68 % (1774438) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1774431-1774438"...
% 1.38/0.68 % (1774438)...printing done.
% 1.38/0.68 % (1774438)Refutation found. Thanks to Tanya!
% 1.38/0.68 % SZS status Unsatisfiable for theBenchmark
% 1.38/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.68 % (1774438)------------------------------
% 1.38/0.68 % (1774438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.68 % (1774438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.68 % (1774438)CaDiCaL version: 2.1.3
% 1.38/0.68 % (1774438)Termination reason: Refutation
% 1.38/0.68 % (1774438)Time elapsed: 0.217 s
% 1.38/0.68 % (1774438)Peak memory usage: 15 MB
% 1.38/0.68 % (1774438)Instructions burned: 413 (million)
% 1.38/0.68 % (1774431)Success in time 0.261 s
% 1.38/0.68 % Vampire exiting
%------------------------------------------------------------------------------