TSTP Solution File: GRP578-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP578-1 : 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 : n029.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 21:31:26 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f907,plain,
$false,
inference(trivial_inequality_removal,[],[f898]) ).
fof(f898,plain,
a2 != a2,
inference(superposition,[],[f5,f888]) ).
fof(f888,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f887,f853]) ).
fof(f853,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),identity) = X0,
inference(superposition,[],[f357,f833]) ).
fof(f833,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[],[f809,f357]) ).
fof(f809,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(identity,inverse(inverse(inverse(X0)))),identity),
inference(superposition,[],[f357,f514]) ).
fof(f514,plain,
! [X0] : inverse(inverse(X0)) = inverse(double_divide(identity,X0)),
inference(superposition,[],[f419,f458]) ).
fof(f458,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(superposition,[],[f418,f325]) ).
fof(f325,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[],[f296,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f296,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(X0,identity),
inference(superposition,[],[f206,f280]) ).
fof(f280,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f279,f147]) ).
fof(f147,plain,
identity = double_divide(inverse(inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f139,f3]) ).
fof(f139,plain,
identity = double_divide(double_divide(inverse(inverse(identity)),identity),inverse(identity)),
inference(superposition,[],[f97,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f97,plain,
! [X0] : identity = double_divide(double_divide(inverse(X0),double_divide(inverse(identity),inverse(X0))),inverse(identity)),
inference(superposition,[],[f77,f14]) ).
fof(f14,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X0] : double_divide(identity,identity) = multiply(inverse(X0),X0),
inference(superposition,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f77,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,double_divide(multiply(X1,X0),inverse(X0))),inverse(identity)),
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f279,plain,
inverse(identity) = double_divide(inverse(inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f271,f13]) ).
fof(f13,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f271,plain,
inverse(identity) = double_divide(multiply(identity,inverse(identity)),inverse(identity)),
inference(superposition,[],[f125,f236]) ).
fof(f236,plain,
identity = inverse(double_divide(identity,inverse(inverse(identity)))),
inference(superposition,[],[f232,f3]) ).
fof(f232,plain,
identity = double_divide(double_divide(identity,inverse(inverse(identity))),identity),
inference(superposition,[],[f21,f212]) ).
fof(f212,plain,
identity = multiply(inverse(inverse(identity)),identity),
inference(superposition,[],[f206,f147]) ).
fof(f21,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(superposition,[],[f4,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f125,plain,
! [X0] : inverse(identity) = double_divide(multiply(inverse(X0),inverse(inverse(X0))),inverse(identity)),
inference(forward_demodulation,[],[f124,f11]) ).
fof(f124,plain,
! [X0] : inverse(identity) = double_divide(inverse(double_divide(inverse(inverse(X0)),inverse(X0))),inverse(identity)),
inference(forward_demodulation,[],[f123,f3]) ).
fof(f123,plain,
! [X0] : inverse(identity) = double_divide(double_divide(double_divide(inverse(inverse(X0)),inverse(X0)),identity),inverse(identity)),
inference(forward_demodulation,[],[f116,f4]) ).
fof(f116,plain,
! [X0] : inverse(identity) = double_divide(double_divide(double_divide(inverse(inverse(X0)),inverse(X0)),double_divide(identity,inverse(identity))),inverse(identity)),
inference(superposition,[],[f7,f96]) ).
fof(f96,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(inverse(inverse(X0)),inverse(X0))),inverse(identity)),
inference(superposition,[],[f77,f13]) ).
fof(f206,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(forward_demodulation,[],[f196,f3]) ).
fof(f196,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(X0,identity),
inference(superposition,[],[f78,f4]) ).
fof(f78,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(double_divide(X1,double_divide(identity,inverse(X0))),inverse(identity)),
inference(superposition,[],[f7,f21]) ).
fof(f418,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f357,f2]) ).
fof(f419,plain,
! [X0] : inverse(double_divide(identity,inverse(inverse(X0)))) = X0,
inference(superposition,[],[f357,f3]) ).
fof(f357,plain,
! [X0] : double_divide(double_divide(identity,inverse(inverse(X0))),identity) = X0,
inference(forward_demodulation,[],[f356,f325]) ).
fof(f356,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(forward_demodulation,[],[f355,f11]) ).
fof(f355,plain,
! [X0] : double_divide(double_divide(identity,inverse(double_divide(identity,X0))),identity) = X0,
inference(forward_demodulation,[],[f354,f3]) ).
fof(f354,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(forward_demodulation,[],[f348,f280]) ).
fof(f348,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),inverse(identity))),inverse(identity)) = X0,
inference(superposition,[],[f7,f310]) ).
fof(f310,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f309,f280]) ).
fof(f309,plain,
identity = double_divide(inverse(identity),identity),
inference(forward_demodulation,[],[f291,f280]) ).
fof(f291,plain,
identity = double_divide(inverse(inverse(identity)),identity),
inference(superposition,[],[f147,f280]) ).
fof(f887,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(inverse(inverse(X0))),identity),
inference(forward_demodulation,[],[f886,f325]) ).
fof(f886,plain,
! [X0] : multiply(identity,X0) = double_divide(multiply(inverse(X0),identity),identity),
inference(forward_demodulation,[],[f885,f11]) ).
fof(f885,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(double_divide(identity,inverse(X0))),identity),
inference(forward_demodulation,[],[f862,f280]) ).
fof(f862,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(double_divide(identity,inverse(X0))),inverse(identity)),
inference(superposition,[],[f78,f833]) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP578-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 05:18:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (18264)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (18271)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)
% 0.14/0.36 % (18270)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)
% 0.14/0.36 % (18269)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)
% 0.14/0.37 % (18267)WARNING: value z3 for option sas not known
% 0.14/0.37 % (18266)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (18267)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)
% 0.14/0.38 % (18268)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (18265)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (18271)First to succeed.
% 0.14/0.39 % (18271)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18264"
% 0.14/0.39 % (18271)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (18271)------------------------------
% 0.14/0.39 % (18271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (18271)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (18271)Memory used [KB]: 1080
% 0.14/0.39 % (18271)Time elapsed: 0.032 s
% 0.14/0.39 % (18271)Instructions burned: 35 (million)
% 0.14/0.39 % (18264)Success in time 0.048 s
%------------------------------------------------------------------------------