%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP540-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:18:03 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f6,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f12,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f18,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f12,f6]) ).
fof(f28,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(superposition,[],[f1,f18]) ).
fof(f690,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f691,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f690,f6]) ).
fof(f696,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(superposition,[],[f691,f18]) ).
fof(f714,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(superposition,[],[f28,f691]) ).
fof(f821,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f696,f714]) ).
fof(f894,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f821]) ).
fof(f895,plain,
$false,
inference(trivial_inequality_removal,[],[f894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP540-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/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 10:05:52 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.45 Running first-order model finding
% 0.15/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 % (4176464)Will run a generic schedule for satisfiability detection.
% 0.21/0.50 % (4176474)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2650704325:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.21/0.50 % (4176470)% WARNING: option uhcvi not known.
% 0.21/0.50 % (4176470)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4050444496:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.21/0.50 % (4176469)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2865689162_3000 on theBenchmark for (3000ds/0Mi)
% 0.21/0.50 % (4176472)dis+10_1_sil=32000:sp=arity:random_seed=3031210580:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.21/0.50 % (4176473)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=499609087:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.21/0.50 % (4176471)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=712255552:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.21/0.50 % (4176475)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3629418112:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.21/0.50 % TRYING [1]
% 0.21/0.50 % TRYING [2]
% 0.21/0.50 % TRYING [3]
% 0.21/0.50 % TRYING [4]
% 0.21/0.50 % TRYING [5]
% 0.21/0.50 % (4176471) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4176464-4176471"...
% 0.21/0.50 % (4176473) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4176464-4176473"...
% 0.21/0.50 % (4176472) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4176464-4176472"...
% 0.21/0.50 % (4176471)...printing done.
% 0.21/0.50 % (4176473)...printing done.
% 0.21/0.50 % (4176471)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (4176471)------------------------------
% 0.21/0.50 % (4176471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.50 % (4176471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.50 % (4176471)CaDiCaL version: 2.1.3
% 0.21/0.50 % (4176471)Termination reason: Refutation
% 0.21/0.50 % (4176471)Time elapsed: 0.016 s
% 0.21/0.50 % (4176471)Peak memory usage: 11 MB
% 0.21/0.50 % (4176471)Instructions burned: 27 (million)
% 0.21/0.50 % (4176464)Success in time 0.039 s
% 0.21/0.50 % Vampire exiting
%------------------------------------------------------------------------------