TSTP Solution File: GRP527-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP527-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:31:16 EDT 2024
% Result : Unsatisfiable 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 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 : 5 ( 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 : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9709,plain,
$false,
inference(trivial_inequality_removal,[],[f9670]) ).
fof(f9670,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f4,f5179]) ).
fof(f5179,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[],[f5178,f107]) ).
fof(f107,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5178,plain,
! [X2,X0,X1] : multiply(multiply(X2,X0),X1) = divide(X2,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f5096,f107]) ).
fof(f5096,plain,
! [X2,X0,X1] : divide(X2,inverse(multiply(X0,X1))) = multiply(divide(X2,inverse(X0)),X1),
inference(superposition,[],[f635,f927]) ).
fof(f927,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X0,X1)),X1),
inference(superposition,[],[f30,f256]) ).
fof(f256,plain,
! [X2,X0,X1] : divide(X0,divide(multiply(X0,X1),multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f237,f107]) ).
fof(f237,plain,
! [X2,X0,X1] : divide(X0,divide(multiply(X0,X1),divide(X2,inverse(X1)))) = X2,
inference(superposition,[],[f1,f107]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f30,plain,
! [X2,X1] : inverse(divide(inverse(X1),divide(X2,X1))) = X2,
inference(forward_demodulation,[],[f24,f3]) ).
fof(f24,plain,
! [X2,X0,X1] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,X1))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f635,plain,
! [X2,X0,X1] : divide(X0,X1) = multiply(divide(X0,multiply(X1,X2)),X2),
inference(forward_demodulation,[],[f602,f107]) ).
fof(f602,plain,
! [X2,X0,X1] : divide(X0,X1) = multiply(divide(X0,divide(X1,inverse(X2))),X2),
inference(superposition,[],[f22,f107]) ).
fof(f22,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f4,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP527-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n002.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun May 19 06:05:22 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % (4463)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.33 % (4465)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.34 % (4466)WARNING: value z3 for option sas not known
% 0.12/0.34 % (4464)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.34 % (4467)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34 % (4466)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.34 % (4470)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.34 % (4469)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.34 % (4468)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [3]
% 0.12/0.34 TRYING [3]
% 0.12/0.34 TRYING [4]
% 0.12/0.35 TRYING [4]
% 0.17/0.36 TRYING [5]
% 0.17/0.39 TRYING [6]
% 0.17/0.40 TRYING [5]
% 0.17/0.48 TRYING [7]
% 0.17/0.51 % (4466)First to succeed.
% 0.17/0.52 % (4466)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4463"
% 0.17/0.52 % (4466)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (4466)------------------------------
% 0.17/0.52 % (4466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.52 % (4466)Termination reason: Refutation
% 0.17/0.52
% 0.17/0.52 % (4466)Memory used [KB]: 3405
% 0.17/0.52 % (4466)Time elapsed: 0.175 s
% 0.17/0.52 % (4466)Instructions burned: 434 (million)
% 0.17/0.52 % (4463)Success in time 0.181 s
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