%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP171-1 : 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 : n011.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 1.59s 0.65s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 29 unt; 2 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 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(f8,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
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(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(f17,axiom,
least_upper_bound(identity,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p04a_1) ).
fof(f18,plain,
a = least_upper_bound(identity,a),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
least_upper_bound(identity,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p04a_2) ).
fof(f20,plain,
b = least_upper_bound(identity,b),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
least_upper_bound(identity,multiply(a,b)) != multiply(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p04a) ).
fof(f22,plain,
multiply(a,b) != least_upper_bound(identity,multiply(a,b)),
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF0 = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
multiply(a,b) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF1 = least_upper_bound(identity,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f26,plain,
least_upper_bound(identity,sF0) = sF1,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
sF0 != sF1,
inference(definition_folding,[],[f22,f26,f24,f24]) ).
fof(f30,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f31,plain,
identity = greatest_lower_bound(identity,a),
inference(superposition,[],[f12,f18]) ).
fof(f67,plain,
! [X0] : least_upper_bound(b,X0) = least_upper_bound(identity,least_upper_bound(b,X0)),
inference(superposition,[],[f8,f20]) ).
fof(f219,plain,
! [X0] : multiply(identity,X0) = greatest_lower_bound(multiply(identity,X0),multiply(a,X0)),
inference(superposition,[],[f16,f31]) ).
fof(f238,plain,
! [X0] : greatest_lower_bound(X0,multiply(a,X0)) = X0,
inference(forward_demodulation,[],[f219,f1]) ).
fof(f475,plain,
b = greatest_lower_bound(b,sF0),
inference(superposition,[],[f238,f24]) ).
fof(f576,plain,
sF0 = least_upper_bound(sF0,b),
inference(superposition,[],[f30,f475]) ).
fof(f580,plain,
sF0 = least_upper_bound(b,sF0),
inference(forward_demodulation,[],[f576,f6]) ).
fof(f638,plain,
sF0 = least_upper_bound(identity,sF0),
inference(superposition,[],[f67,f580]) ).
fof(f754,plain,
sF0 = sF1,
inference(superposition,[],[f26,f638]) ).
fof(f760,plain,
$false,
inference(forward_subsumption_resolution,[],[f754,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP171-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 09:35:15 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 1.59/0.65 % (2151331)Will run a generic schedule for satisfiability detection.
% 1.59/0.65 % (2151341)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1621950533:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.59/0.65 % (2151337)% WARNING: option uhcvi not known.
% 1.59/0.65 % (2151336)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1607821408_2999 on theBenchmark for (2999ds/0Mi)
% 1.59/0.65 % (2151337)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2626093622:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.59/0.65 % (2151338)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1150635171:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.59/0.65 % (2151342)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=279988133:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.59/0.65 % (2151339)dis+10_1_sil=32000:sp=arity:random_seed=2776369731:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.59/0.65 % TRYING [1]
% 1.59/0.65 % (2151340)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1595522853:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.59/0.65 % TRYING [2]
% 1.59/0.65 % TRYING [3]
% 1.59/0.65 % TRYING [4]
% 1.59/0.65 % (2151341)Instruction limit reached!
% 1.59/0.65 % (2151341)------------------------------
% 1.59/0.65 % (2151341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.65 % (2151341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.65 % (2151341)CaDiCaL version: 2.1.3
% 1.59/0.65 % (2151341)Termination reason: Instruction limit
% 1.59/0.65 % (2151341)Termination phase: Saturation
% 1.59/0.65 % (2151341)Time elapsed: 0.042 s
% 1.59/0.65 % (2151341)Peak memory usage: 13 MB
% 1.59/0.65 % (2151341)Instructions burned: 134 (million)
% 1.59/0.65 % TRYING [5]
% 1.59/0.65 % (2151350)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=194529129:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.59/0.65 % TRYING [1]
% 1.59/0.65 % TRYING [2]
% 1.59/0.65 % TRYING [3]
% 1.59/0.65 % TRYING [4]
% 1.59/0.65 % (2151339)Instruction limit reached!
% 1.59/0.65 % (2151339)------------------------------
% 1.59/0.65 % (2151339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.65 % (2151339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.65 % (2151339)CaDiCaL version: 2.1.3
% 1.59/0.65 % (2151339)Termination reason: Instruction limit
% 1.59/0.65 % (2151339)Termination phase: Saturation
% 1.59/0.65 % (2151339)Time elapsed: 0.059 s
% 1.59/0.65 % (2151339)Peak memory usage: 12 MB
% 1.59/0.65 % (2151339)Instructions burned: 103 (million)
% 1.59/0.65 % TRYING [5]
% 1.59/0.65 % (2151340)Instruction limit reached!
% 1.59/0.65 % (2151340)------------------------------
% 1.59/0.65 % (2151340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.65 % (2151340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.65 % (2151340)CaDiCaL version: 2.1.3
% 1.59/0.65 % (2151340)Termination reason: Instruction limit
% 1.59/0.65 % (2151340)Termination phase: Saturation
% 1.59/0.65 % (2151340)Time elapsed: 0.070 s
% 1.59/0.65 % (2151340)Peak memory usage: 12 MB
% 1.59/0.65 % (2151340)Instructions burned: 116 (million)
% 1.59/0.65 % (2151352)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3014472063:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.59/0.65 % (2151353)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=4192505803:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.59/0.65 % (2151342)Instruction limit reached!
% 1.59/0.65 % (2151342)------------------------------
% 1.59/0.65 % (2151342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.65 % (2151342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.65 % (2151342)CaDiCaL version: 2.1.3
% 1.59/0.65 % (2151342)Termination reason: Instruction limit
% 1.59/0.65 % (2151342)Termination phase: Saturation
% 1.59/0.65 % (2151342)Time elapsed: 0.096 s
% 1.59/0.65 % (2151342)Peak memory usage: 12 MB
% 1.59/0.65 % (2151342)Instructions burned: 160 (million)
% 1.59/0.65 % TRYING [6]
% 1.59/0.65 % (2151356)ott-21_1_sil=16000:fs=off:random_seed=4289475600:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.59/0.65 % TRYING [6]
% 1.59/0.65 % (2151352)Instruction limit reached!
% 1.59/0.65 % (2151352)------------------------------
% 1.59/0.65 % (2151352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.65 % (2151352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.65 % (2151352)CaDiCaL version: 2.1.3
% 1.59/0.65 % (2151352)Termination reason: Instruction limit
% 1.59/0.65 % (2151352)Termination phase: Saturation
% 1.59/0.65 % (2151352)Time elapsed: 0.084 s
% 1.59/0.65 % (2151352)Peak memory usage: 13 MB
% 1.59/0.65 % (2151352)Instructions burned: 132 (million)
% 1.59/0.65 % (2151358)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=257412361:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.59/0.65 % (2151350)Instruction limit reached!
% 1.59/0.65 % (2151350)------------------------------
% 1.59/0.65 % (2151350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.65 % (2151350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.65 % (2151350)CaDiCaL version: 2.1.3
% 1.59/0.65 % (2151350)Termination reason: Instruction limit
% 1.59/0.65 % (2151350)Termination phase: Finite model building SAT solving
% 1.59/0.65 % (2151350)Time elapsed: 0.146 s
% 1.59/0.65 % (2151350)Peak memory usage: 39 MB
% 1.59/0.65 % (2151350)Instructions burned: 714 (million)
% 1.59/0.65 % (2151356)Instruction limit reached!
% 1.59/0.65 % (2151356)------------------------------
% 1.59/0.65 % (2151356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.65 % (2151356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.65 % (2151356)CaDiCaL version: 2.1.3
% 1.59/0.65 % (2151356)Termination reason: Instruction limit
% 1.59/0.65 % (2151356)Termination phase: Saturation
% 1.59/0.65 % (2151356)Time elapsed: 0.078 s
% 1.59/0.65 % (2151356)Peak memory usage: 12 MB
% 1.59/0.65 % (2151356)Instructions burned: 180 (million)
% 1.59/0.65 % (2151361)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3036098164:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.59/0.65 % (2151360)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1990557616:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.59/0.65 % TRYING [1]
% 1.59/0.65 % TRYING [2]
% 1.59/0.65 % (2151361) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2151331-2151361"...
% 1.59/0.65 % (2151361)...printing done.
% 1.59/0.65 % (2151361)Refutation found. Thanks to Tanya!
% 1.59/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.59/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.65 % (2151361)------------------------------
% 1.59/0.65 % (2151361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.65 % (2151361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.65 % (2151361)CaDiCaL version: 2.1.3
% 1.59/0.65 % (2151361)Termination reason: Refutation
% 1.59/0.65 % (2151361)Time elapsed: 0.009 s
% 1.59/0.65 % (2151361)Peak memory usage: 12 MB
% 1.59/0.65 % (2151361)Instructions burned: 28 (million)
% 1.59/0.65 % (2151331)Success in time 0.257 s
% 1.59/0.65 % Vampire exiting
%------------------------------------------------------------------------------