%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP192-1 : 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 : n020.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 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 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 : 3 ( 1 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 : 21 ( 21 !; 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(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(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(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,
! [X0] : least_upper_bound(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40a_1) ).
fof(f18,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p40a) ).
fof(f30,plain,
! [X0] : identity = greatest_lower_bound(identity,X0),
inference(superposition,[],[f11,f17]) ).
fof(f61,plain,
! [X0] : identity = greatest_lower_bound(X0,identity),
inference(superposition,[],[f30,f5]) ).
fof(f174,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f16,f1]) ).
fof(f196,plain,
! [X0,X1] : multiply(identity,X0) = greatest_lower_bound(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f174,f30]) ).
fof(f199,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f196,f1]) ).
fof(f202,plain,
! [X0] : greatest_lower_bound(X0,identity) = X0,
inference(superposition,[],[f199,f3]) ).
fof(f210,plain,
! [X0] : identity = X0,
inference(superposition,[],[f202,f61]) ).
fof(f266,plain,
identity != multiply(a,b),
inference(superposition,[],[f18,f210]) ).
fof(f298,plain,
$false,
inference(forward_subsumption_resolution,[],[f266,f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP192-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 09:37:49 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.44 Running first-order model finding
% 0.10/0.44 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
% 0.17/0.51 % (3140542)Will run a generic schedule for satisfiability detection.
% 0.17/0.51 % (3140553)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3254998022:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.51 % (3140548)% WARNING: option uhcvi not known.
% 0.17/0.51 % (3140547)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1347013292_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.51 % (3140552)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3034302487:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.51 % (3140548)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2963121443:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.51 % (3140551)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1176126035:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51 % (3140549)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1100448051:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.51 % (3140550)dis+10_1_sil=32000:sp=arity:random_seed=1352948793:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51 % TRYING [1]
% 0.17/0.51 % TRYING [2]
% 0.17/0.51 % TRYING [3]
% 0.17/0.51 % (3140550) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3140542-3140550"...
% 0.17/0.51 % (3140550)...printing done.
% 0.17/0.51 % (3140551) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3140542-3140551"...
% 0.17/0.51 % TRYING [4]
% 0.17/0.51 % (3140550)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (3140550)------------------------------
% 0.17/0.51 % (3140550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.51 % (3140550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.51 % (3140550)CaDiCaL version: 2.1.3
% 0.17/0.51 % (3140550)Termination reason: Refutation
% 0.17/0.51 % (3140550)Time elapsed: 0.012 s
% 0.17/0.51 % (3140550)Peak memory usage: 11 MB
% 0.17/0.51 % (3140550)Instructions burned: 11 (million)
% 0.17/0.51 % (3140542)Success in time 0.062 s
% 0.17/0.51 % Vampire exiting
%------------------------------------------------------------------------------