%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP532-1 : 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 10:18:02 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.56s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X0,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,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f6,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(divide(X1,inverse(X0)),divide(X1,divide(X2,X2))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f15,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X1),divide(X0,X2)),inverse(X0)) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f19,plain,
! [X0,X1] : inverse(divide(divide(X1,X0),X1)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f20,plain,
! [X2,X0,X1] : multiply(divide(divide(X1,X1),divide(X0,X2)),X0) = X2,
inference(forward_demodulation,[],[f15,f5]) ).
fof(f22,plain,
! [X2,X0,X1] : divide(multiply(X1,X0),divide(X1,divide(X2,X2))) = X0,
inference(forward_demodulation,[],[f10,f5]) ).
fof(f23,plain,
! [X2,X0] : multiply(inverse(divide(X0,X2)),X0) = X2,
inference(forward_demodulation,[],[f20,f3]) ).
fof(f28,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f19,f3]) ).
fof(f34,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[],[f23,f19]) ).
fof(f37,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(superposition,[],[f5,f28]) ).
fof(f43,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(divide(X1,X1))) = X0,
inference(superposition,[],[f23,f6]) ).
fof(f54,plain,
! [X0,X1] : divide(inverse(inverse(X0)),divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f43,f37]) ).
fof(f63,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f54,f28]) ).
fof(f144,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[],[f1,f63]) ).
fof(f378,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X2)) = divide(multiply(X1,X0),X0),
inference(superposition,[],[f144,f22]) ).
fof(f404,plain,
! [X0,X1] : divide(multiply(X1,X0),X0) = X1,
inference(forward_demodulation,[],[f378,f63]) ).
fof(f653,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f34,f404]) ).
fof(f980,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f4,f653]) ).
fof(f981,plain,
$false,
inference(trivial_inequality_removal,[],[f980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP532-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 10:07:34 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 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
% 0.22/0.56 % (3154281)Will run a generic schedule for satisfiability detection.
% 0.22/0.56 % (3154291)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1380141928:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.22/0.56 % (3154287)% WARNING: option uhcvi not known.
% 0.22/0.56 % (3154286)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2113229763_3000 on theBenchmark for (3000ds/0Mi)
% 0.22/0.56 % TRYING [1]
% 0.22/0.56 % TRYING [2]
% 0.22/0.56 % TRYING [3]
% 0.22/0.56 % (3154289)dis+10_1_sil=32000:sp=arity:random_seed=1191786541:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.22/0.56 % (3154287)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1093931324:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.22/0.56 % (3154290)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4228501777:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.22/0.56 % TRYING [4]
% 0.22/0.56 % (3154288)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1343847007:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.22/0.56 % (3154292)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3449807046:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.22/0.56 % TRYING [5]
% 0.22/0.56 % (3154290) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3154281-3154290"...
% 0.22/0.56 % (3154289) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3154281-3154289"...
% 0.22/0.56 % (3154290)...printing done.
% 0.22/0.56 % (3154289)...printing done.
% 0.22/0.56 % (3154290)Refutation found. Thanks to Tanya!
% 0.22/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.56 % (3154290)------------------------------
% 0.22/0.56 % (3154290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.56 % (3154290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.56 % (3154290)CaDiCaL version: 2.1.3
% 0.22/0.56 % (3154290)Termination reason: Refutation
% 0.22/0.56 % (3154290)Time elapsed: 0.029 s
% 0.22/0.56 % (3154290)Peak memory usage: 11 MB
% 0.22/0.56 % (3154290)Instructions burned: 28 (million)
% 0.22/0.56 % (3154281)Success in time 0.067 s
% 0.22/0.56 % Vampire exiting
%------------------------------------------------------------------------------