%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP542-1 : 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 : n012.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 10:18:04 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.35s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
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,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f6,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)),
inference(definition_unfolding,[],[f6,f2,f2,f3]) ).
fof(f8,plain,
a2 != divide(identity,divide(identity,a2)),
inference(superposition,[],[f7,f4]) ).
fof(f12,plain,
! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f19,plain,
! [X0] : divide(divide(identity,identity),divide(identity,X0)) = X0,
inference(superposition,[],[f12,f4]) ).
fof(f29,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f19,f4]) ).
fof(f31,plain,
a2 != a2,
inference(superposition,[],[f8,f29]) ).
fof(f37,plain,
$false,
inference(trivial_inequality_removal,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP542-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 10:06:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.32 Running first-order model finding
% 0.07/0.32 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
% 0.07/0.35 % (2144763)Will run a generic schedule for satisfiability detection.
% 0.07/0.35 % (2144769)% WARNING: option uhcvi not known.
% 0.07/0.35 % (2144770)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2270967429:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.35 % (2144768)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2360888515_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.35 % (2144769)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2564498286:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.35 % (2144771)dis+10_1_sil=32000:sp=arity:random_seed=594694696:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.35 % (2144772)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2099281523:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.35 % (2144773)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3113690618:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.35 % (2144774)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1261060786:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.35 % TRYING [1]
% 0.07/0.35 % TRYING [2]
% 0.07/0.35 % TRYING [3]
% 0.07/0.35 % (2144771) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2144763-2144771"...
% 0.07/0.35 % (2144770) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2144763-2144770"...
% 0.07/0.35 % TRYING [4]
% 0.07/0.35 % (2144774) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2144763-2144774"...
% 0.07/0.35 % (2144771)...printing done.
% 0.07/0.35 % (2144770)...printing done.
% 0.07/0.35 % (2144772) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2144763-2144772"...
% 0.07/0.35 % (2144769) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2144763-2144769"...
% 0.07/0.35 % (2144774)...printing done.
% 0.07/0.35 % (2144771)Refutation found. Thanks to Tanya!
% 0.07/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.35 % (2144771)------------------------------
% 0.07/0.35 % (2144771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.35 % (2144771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.35 % (2144771)CaDiCaL version: 2.1.3
% 0.07/0.35 % (2144771)Termination reason: Refutation
% 0.07/0.35 % (2144771)Time elapsed: 0.001 s
% 0.07/0.35 % (2144771)Peak memory usage: 11 MB
% 0.07/0.35 % (2144771)Instructions burned: 2 (million)
% 0.07/0.35 % (2144763)Success in time 0.023 s
% 0.07/0.35 % Vampire exiting
%------------------------------------------------------------------------------