%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP191-1 : 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 : n013.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 10:17:08 AM UTC 2026
% Result : Unsatisfiable 2.47s 0.94s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 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(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(f9,axiom,
! [X0] : least_upper_bound(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',idempotence_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(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(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,
greatest_lower_bound(a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39b_1) ).
fof(f18,plain,
b = greatest_lower_bound(a,b),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
greatest_lower_bound(inverse(a),inverse(b)) != inverse(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p39b) ).
fof(f20,plain,
inverse(a) != greatest_lower_bound(inverse(a),inverse(b)),
inference(reorient_equations,[],[f19]) ).
fof(f31,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f34,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f31,f1]) ).
fof(f79,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X0,X1)),
inference(superposition,[],[f8,f9]) ).
fof(f101,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f34,f3]) ).
fof(f103,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f34,f34]) ).
fof(f120,plain,
! [X2,X0,X1] : multiply(X0,X1) = greatest_lower_bound(multiply(X0,X1),multiply(X0,least_upper_bound(X1,X2))),
inference(superposition,[],[f12,f13]) ).
fof(f206,plain,
! [X2,X0,X1] : multiply(X0,X2) = least_upper_bound(multiply(X0,X2),multiply(greatest_lower_bound(X0,X1),X2)),
inference(superposition,[],[f11,f16]) ).
fof(f254,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,least_upper_bound(X0,X1)),
inference(superposition,[],[f79,f6]) ).
fof(f1953,plain,
! [X2,X0,X1] : greatest_lower_bound(X0,multiply(inverse(X1),least_upper_bound(multiply(X1,X0),X2))) = X0,
inference(superposition,[],[f120,f34]) ).
fof(f2821,plain,
! [X0] : multiply(a,X0) = least_upper_bound(multiply(a,X0),multiply(b,X0)),
inference(superposition,[],[f206,f18]) ).
fof(f5504,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f103,f3]) ).
fof(f5505,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f103,f101]) ).
fof(f9850,plain,
identity = least_upper_bound(identity,multiply(b,inverse(a))),
inference(superposition,[],[f2821,f5504]) ).
fof(f16790,plain,
identity = least_upper_bound(multiply(b,inverse(a)),identity),
inference(superposition,[],[f254,f9850]) ).
fof(f21710,plain,
inverse(a) = greatest_lower_bound(inverse(a),multiply(inverse(b),identity)),
inference(superposition,[],[f1953,f16790]) ).
fof(f21785,plain,
inverse(a) = greatest_lower_bound(inverse(a),inverse(b)),
inference(forward_demodulation,[],[f21710,f5505]) ).
fof(f21787,plain,
$false,
inference(forward_subsumption_resolution,[],[f21785,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP191-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 % Computer : n013.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 09:36:37 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.47 Running first-order model finding
% 0.15/0.47 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
% 2.47/0.94 % (4158934)Will run a generic schedule for satisfiability detection.
% 2.47/0.94 % (4158940)% WARNING: option uhcvi not known.
% 2.47/0.94 % (4158940)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3634095103:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.47/0.94 % (4158939)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=544175882_2999 on theBenchmark for (2999ds/0Mi)
% 2.47/0.94 % TRYING [1]
% 2.47/0.94 % TRYING [2]
% 2.47/0.94 % TRYING [3]
% 2.47/0.94 % (4158944)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3197736044:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.47/0.94 % (4158943)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3621827138:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.47/0.94 % (4158945)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2508693659:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.47/0.94 % (4158942)dis+10_1_sil=32000:sp=arity:random_seed=3252008141:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.47/0.94 % (4158941)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2938681725:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.47/0.94 % TRYING [4]
% 2.47/0.94 % TRYING [5]
% 2.47/0.94 % (4158942)Instruction limit reached!
% 2.47/0.94 % (4158942)------------------------------
% 2.47/0.94 % (4158942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.94 % (4158942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.94 % (4158942)CaDiCaL version: 2.1.3
% 2.47/0.94 % (4158942)Termination reason: Instruction limit
% 2.47/0.94 % (4158942)Termination phase: Saturation
% 2.47/0.94 % (4158942)Time elapsed: 0.096 s
% 2.47/0.94 % (4158942)Peak memory usage: 12 MB
% 2.47/0.94 % (4158942)Instructions burned: 104 (million)
% 2.47/0.94 % (4158943)Instruction limit reached!
% 2.47/0.94 % (4158943)------------------------------
% 2.47/0.94 % (4158943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.94 % (4158943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.94 % (4158943)CaDiCaL version: 2.1.3
% 2.47/0.94 % (4158943)Termination reason: Instruction limit
% 2.47/0.94 % (4158943)Termination phase: Saturation
% 2.47/0.94 % (4158943)Time elapsed: 0.111 s
% 2.47/0.94 % (4158943)Peak memory usage: 12 MB
% 2.47/0.94 % (4158943)Instructions burned: 116 (million)
% 2.47/0.94 % (4158953)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1936009406:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.47/0.94 % (4158944)Instruction limit reached!
% 2.47/0.94 % (4158944)------------------------------
% 2.47/0.94 % (4158944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.94 % (4158944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.94 % (4158944)CaDiCaL version: 2.1.3
% 2.47/0.94 % (4158944)Termination reason: Instruction limit
% 2.47/0.94 % (4158944)Termination phase: Saturation
% 2.47/0.94 % (4158944)Time elapsed: 0.126 s
% 2.47/0.94 % (4158944)Peak memory usage: 12 MB
% 2.47/0.94 % (4158944)Instructions burned: 132 (million)
% 2.47/0.94 % TRYING [1]
% 2.47/0.94 % TRYING [2]
% 2.47/0.94 % TRYING [3]
% 2.47/0.94 % TRYING [4]
% 2.47/0.94 % (4158954)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2709547423:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.47/0.94 % (4158945)Instruction limit reached!
% 2.47/0.94 % (4158945)------------------------------
% 2.47/0.94 % (4158945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.94 % (4158945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.94 % (4158945)CaDiCaL version: 2.1.3
% 2.47/0.94 % (4158945)Termination reason: Instruction limit
% 2.47/0.94 % (4158945)Termination phase: Saturation
% 2.47/0.94 % (4158945)Time elapsed: 0.161 s
% 2.47/0.94 % (4158945)Peak memory usage: 12 MB
% 2.47/0.94 % (4158945)Instructions burned: 159 (million)
% 2.47/0.94 % (4158956)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=1601239181:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.47/0.94 % (4158958)ott-21_1_sil=16000:fs=off:random_seed=45944774:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.47/0.94 % TRYING [5]
% 2.47/0.94 % TRYING [6]
% 2.47/0.94 % (4158954)Instruction limit reached!
% 2.47/0.94 % (4158954)------------------------------
% 2.47/0.94 % (4158954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.94 % (4158954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.94 % (4158954)CaDiCaL version: 2.1.3
% 2.47/0.94 % (4158954)Termination reason: Instruction limit
% 2.47/0.94 % (4158954)Termination phase: Saturation
% 2.47/0.94 % (4158954)Time elapsed: 0.137 s
% 2.47/0.94 % (4158954)Peak memory usage: 13 MB
% 2.47/0.94 % (4158954)Instructions burned: 132 (million)
% 2.47/0.94 % (4158961)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=821916563:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 2.47/0.94 % (4158958)Instruction limit reached!
% 2.47/0.94 % (4158958)------------------------------
% 2.47/0.94 % (4158958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.94 % (4158958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.94 % (4158958)CaDiCaL version: 2.1.3
% 2.47/0.94 % (4158958)Termination reason: Instruction limit
% 2.47/0.94 % (4158958)Termination phase: Saturation
% 2.47/0.94 % (4158958)Time elapsed: 0.144 s
% 2.47/0.94 % (4158958)Peak memory usage: 12 MB
% 2.47/0.94 % (4158958)Instructions burned: 181 (million)
% 2.47/0.94 % (4158963)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2087293855:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 2.47/0.94 % TRYING [1]
% 2.47/0.94 % TRYING [2]
% 2.47/0.94 % TRYING [3]
% 2.47/0.94 % (4158940) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4158934-4158940"...
% 2.47/0.94 % (4158940)...printing done.
% 2.47/0.94 % (4158940)Refutation found. Thanks to Tanya!
% 2.47/0.94 % SZS status Unsatisfiable for theBenchmark
% 2.47/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.94 % (4158940)------------------------------
% 2.47/0.94 % (4158940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.94 % (4158940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.94 % (4158940)CaDiCaL version: 2.1.3
% 2.47/0.94 % (4158940)Termination reason: Refutation
% 2.47/0.94 % (4158940)Time elapsed: 0.438 s
% 2.47/0.94 % (4158940)Peak memory usage: 20 MB
% 2.47/0.94 % (4158940)Instructions burned: 918 (million)
% 2.47/0.94 % (4158934)Success in time 0.464 s
% 2.47/0.94 % Vampire exiting
%------------------------------------------------------------------------------