%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP556-1 : 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 : 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 10:18:05 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 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 : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f4,plain,
divide(a,inverse(b)) != divide(b,inverse(a)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X1,inverse(divide(X0,divide(X1,X2)))),inverse(divide(X3,X0))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X2,X0] : divide(X0,inverse(divide(X2,X0))) = X2,
inference(superposition,[],[f5,f1]) ).
fof(f18,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(superposition,[],[f13,f13]) ).
fof(f24,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f18,f13]) ).
fof(f31,plain,
! [X0,X1] : inverse(divide(X1,divide(X0,inverse(X1)))) = X0,
inference(superposition,[],[f24,f13]) ).
fof(f68,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(superposition,[],[f1,f31]) ).
fof(f69,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(superposition,[],[f13,f31]) ).
fof(f87,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X1),inverse(divide(X2,X0))),inverse(X0)) = X2,
inference(superposition,[],[f1,f68]) ).
fof(f88,plain,
! [X2,X0] : divide(divide(X2,X0),inverse(X0)) = X2,
inference(forward_demodulation,[],[f87,f68]) ).
fof(f235,plain,
! [X0,X1] : divide(X0,inverse(X1)) = divide(X1,inverse(X0)),
inference(superposition,[],[f88,f69]) ).
fof(f798,plain,
divide(a,inverse(b)) != divide(a,inverse(b)),
inference(superposition,[],[f4,f235]) ).
fof(f799,plain,
$false,
inference(trivial_inequality_removal,[],[f798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP556-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42 % Computer : n020.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 10:08:04 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.45 Running first-order model finding
% 0.16/0.45 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
% 0.21/0.53 % (3155553)Will run a generic schedule for satisfiability detection.
% 0.21/0.53 % (3155561)dis+10_1_sil=32000:sp=arity:random_seed=397594630:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.53 % (3155559)% WARNING: option uhcvi not known.
% 0.21/0.53 % (3155558)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1739166247_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.53 % (3155562)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3716263299:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.53 % (3155559)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2024839646:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.53 % TRYING [1]
% 0.21/0.53 % TRYING [2]
% 0.21/0.53 % TRYING [3]
% 0.21/0.53 % (3155563)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3015013216:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.53 % TRYING [4]
% 0.21/0.53 % (3155560)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3005223587:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.53 % (3155564)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=742501435:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.53 % (3155561)Instruction limit reached!
% 0.21/0.53 % (3155561)------------------------------
% 0.21/0.53 % (3155561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.53 % (3155561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.53 % (3155561)CaDiCaL version: 2.1.3
% 0.21/0.53 % (3155561)Termination reason: Instruction limit
% 0.21/0.53 % (3155561)Termination phase: Saturation
% 0.21/0.53 % (3155561)Time elapsed: 0.030 s
% 0.21/0.53 % (3155561)Peak memory usage: 12 MB
% 0.21/0.53 % (3155561)Instructions burned: 104 (million)
% 0.21/0.53 % (3155572)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3136553226:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.53 % TRYING [1]
% 0.21/0.53 % TRYING [2]
% 0.21/0.53 % TRYING [3]
% 0.21/0.53 % (3155560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3155553-3155560"...
% 0.21/0.53 % TRYING [4]
% 0.21/0.53 % (3155560)...printing done.
% 0.21/0.53 % (3155560)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (3155560)------------------------------
% 0.21/0.53 % (3155560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.53 % (3155560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.53 % (3155560)CaDiCaL version: 2.1.3
% 0.21/0.53 % (3155560)Termination reason: Refutation
% 0.21/0.53 % (3155560)Time elapsed: 0.030 s
% 0.21/0.53 % (3155560)Peak memory usage: 11 MB
% 0.21/0.53 % (3155560)Instructions burned: 29 (million)
% 0.21/0.53 % (3155553)Success in time 0.074 s
% 0.21/0.53 % Vampire exiting
%------------------------------------------------------------------------------