%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP457-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 10:17:52 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : divide(identity,X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f6,plain,
! [X0] : divide(X0,X0) = identity,
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f8,plain,
identity != multiply(inverse(a1),a1),
inference(reorient_equations,[],[f7]) ).
fof(f9,plain,
identity != divide(divide(identity,a1),divide(identity,a1)),
inference(definition_unfolding,[],[f8,f2,f4]) ).
fof(f10,plain,
identity != identity,
inference(superposition,[],[f9,f6]) ).
fof(f11,plain,
$false,
inference(trivial_inequality_removal,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP457-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:11:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 0.13/0.43 % (3325017)Will run a generic schedule for satisfiability detection.
% 0.13/0.43 % (3325023)% WARNING: option uhcvi not known.
% 0.13/0.43 % (3325027)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=254103333:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.43 % (3325025)dis+10_1_sil=32000:sp=arity:random_seed=1430756555:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.43 % (3325024)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3847315710:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.43 % (3325026)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3473197853:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.43 % (3325023)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1162457556:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.43 % (3325024) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3325017-3325024"...
% 0.13/0.43 % (3325025) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3325017-3325025"...
% 0.13/0.43 % (3325023) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3325017-3325023"...
% 0.13/0.43 % (3325026) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3325017-3325026"...
% 0.13/0.43 % (3325027) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3325017-3325027"...
% 0.13/0.43 % (3325025)...printing done.
% 0.13/0.43 % (3325023)...printing done.
% 0.13/0.43 % (3325024)...printing done.
% 0.13/0.43 % (3325026)...printing done.
% 0.13/0.43 % (3325027)...printing done.
% 0.13/0.43 % (3325022)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4032206386_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.43 % (3325025)Refutation found. Thanks to Tanya!
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.43 % (3325025)------------------------------
% 0.13/0.43 % (3325025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.43 % (3325025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.43 % (3325025)CaDiCaL version: 2.1.3
% 0.13/0.43 % (3325025)Termination reason: Refutation
% 0.13/0.43 % (3325025)Time elapsed: 0.001 s
% 0.13/0.43 % (3325025)Peak memory usage: 11 MB
% 0.13/0.43 % (3325017)Success in time 0.035 s
% 0.13/0.43 % Vampire exiting
%------------------------------------------------------------------------------