TSTP Solution File: GRP579-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP579-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Sun May 5 06:09:30 EDT 2024
% Result : Unsatisfiable 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 5
% Syntax : Number of formulae : 144 ( 144 unt; 0 def)
% Number of atoms : 144 ( 143 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 225 ( 225 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9247,plain,
$false,
inference(trivial_inequality_removal,[],[f9200]) ).
fof(f9200,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f1289,f8248]) ).
fof(f8248,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f8247,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f8247,plain,
! [X2,X0,X1] : multiply(X2,inverse(double_divide(X0,X1))) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f8246,f7183]) ).
fof(f7183,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[],[f3695,f7107]) ).
fof(f7107,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = double_divide(double_divide(X0,X2),inverse(X1)),
inference(superposition,[],[f2427,f1940]) ).
fof(f1940,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(forward_demodulation,[],[f1939,f11]) ).
fof(f1939,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[],[f1938,f1015]) ).
fof(f1015,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[],[f1014,f997]) ).
fof(f997,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f996,f947]) ).
fof(f947,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(forward_demodulation,[],[f936,f3]) ).
fof(f936,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f884,f925]) ).
fof(f925,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(identity,multiply(X1,X0)),
inference(superposition,[],[f897,f11]) ).
fof(f897,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[],[f634,f884]) ).
fof(f634,plain,
! [X0] : double_divide(identity,inverse(X0)) = double_divide(double_divide(identity,multiply(identity,X0)),identity),
inference(backward_demodulation,[],[f352,f575]) ).
fof(f575,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f574,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f574,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(forward_demodulation,[],[f551,f4]) ).
fof(f551,plain,
inverse(identity) = double_divide(double_divide(identity,inverse(identity)),inverse(identity)),
inference(superposition,[],[f447,f13]) ).
fof(f13,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(f447,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f446,f11]) ).
fof(f446,plain,
! [X0] : double_divide(double_divide(identity,inverse(double_divide(identity,X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f445,f3]) ).
fof(f445,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f444,f411]) ).
fof(f411,plain,
identity = multiply(multiply(identity,identity),identity),
inference(forward_demodulation,[],[f401,f15]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f401,plain,
identity = multiply(inverse(inverse(identity)),identity),
inference(superposition,[],[f313,f267]) ).
fof(f267,plain,
identity = double_divide(multiply(identity,inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f266,f15]) ).
fof(f266,plain,
identity = double_divide(inverse(inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f258,f3]) ).
fof(f258,plain,
identity = double_divide(double_divide(inverse(inverse(identity)),identity),inverse(identity)),
inference(superposition,[],[f190,f4]) ).
fof(f190,plain,
! [X0] : identity = double_divide(double_divide(inverse(X0),double_divide(inverse(identity),inverse(X0))),inverse(identity)),
inference(superposition,[],[f59,f13]) ).
fof(f59,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(f313,plain,
! [X0] : multiply(inverse(X0),identity) = double_divide(multiply(identity,X0),inverse(identity)),
inference(superposition,[],[f306,f15]) ).
fof(f306,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(forward_demodulation,[],[f297,f3]) ).
fof(f297,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(X0,identity),
inference(superposition,[],[f60,f4]) ).
fof(f60,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(double_divide(X1,double_divide(identity,inverse(X0))),inverse(identity)),
inference(superposition,[],[f7,f29]) ).
fof(f29,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(superposition,[],[f4,f11]) ).
fof(f444,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),multiply(multiply(identity,identity),identity))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f433,f11]) ).
fof(f433,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),inverse(double_divide(identity,multiply(identity,identity))))),inverse(identity)) = X0,
inference(superposition,[],[f7,f422]) ).
fof(f422,plain,
identity = double_divide(double_divide(identity,multiply(identity,identity)),identity),
inference(superposition,[],[f29,f411]) ).
fof(f352,plain,
! [X0] : double_divide(identity,inverse(X0)) = double_divide(double_divide(identity,multiply(inverse(identity),X0)),inverse(identity)),
inference(superposition,[],[f52,f60]) ).
fof(f52,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(inverse(X0),X1),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[],[f7,f3]) ).
fof(f884,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),identity) = X0,
inference(superposition,[],[f662,f773]) ).
fof(f773,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(backward_demodulation,[],[f673,f761]) ).
fof(f761,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[],[f760,f575]) ).
fof(f760,plain,
inverse(identity) = multiply(identity,identity),
inference(forward_demodulation,[],[f752,f3]) ).
fof(f752,plain,
double_divide(identity,identity) = multiply(identity,identity),
inference(superposition,[],[f8,f575]) ).
fof(f673,plain,
! [X0] : multiply(identity,X0) = multiply(X0,multiply(identity,identity)),
inference(forward_demodulation,[],[f672,f11]) ).
fof(f672,plain,
! [X0] : inverse(double_divide(X0,identity)) = multiply(X0,multiply(identity,identity)),
inference(forward_demodulation,[],[f646,f3]) ).
fof(f646,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = multiply(X0,multiply(identity,identity)),
inference(backward_demodulation,[],[f565,f575]) ).
fof(f565,plain,
! [X0] : double_divide(double_divide(X0,inverse(identity)),inverse(identity)) = multiply(X0,multiply(identity,identity)),
inference(backward_demodulation,[],[f484,f560]) ).
fof(f560,plain,
multiply(identity,identity) = double_divide(identity,multiply(identity,identity)),
inference(forward_demodulation,[],[f559,f306]) ).
fof(f559,plain,
double_divide(inverse(identity),inverse(identity)) = double_divide(identity,multiply(identity,identity)),
inference(forward_demodulation,[],[f549,f3]) ).
fof(f549,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(identity,multiply(identity,identity)),
inference(superposition,[],[f447,f497]) ).
fof(f497,plain,
identity = multiply(double_divide(identity,multiply(identity,identity)),identity),
inference(forward_demodulation,[],[f469,f4]) ).
fof(f469,plain,
double_divide(identity,inverse(identity)) = multiply(double_divide(identity,multiply(identity,identity)),identity),
inference(superposition,[],[f306,f427]) ).
fof(f427,plain,
identity = inverse(double_divide(identity,multiply(identity,identity))),
inference(superposition,[],[f422,f3]) ).
fof(f484,plain,
! [X0] : multiply(X0,double_divide(identity,multiply(identity,identity))) = double_divide(double_divide(X0,inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f463,f3]) ).
fof(f463,plain,
! [X0] : multiply(X0,double_divide(identity,multiply(identity,identity))) = double_divide(double_divide(X0,double_divide(identity,identity)),inverse(identity)),
inference(superposition,[],[f60,f427]) ).
fof(f662,plain,
! [X1] : double_divide(double_divide(identity,multiply(X1,identity)),identity) = X1,
inference(backward_demodulation,[],[f580,f661]) ).
fof(f661,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X1),inverse(X0)) = multiply(X1,identity),
inference(forward_demodulation,[],[f660,f3]) ).
fof(f660,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),X1),inverse(X0)) = multiply(X1,identity),
inference(forward_demodulation,[],[f659,f11]) ).
fof(f659,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),X1),inverse(X0)) = inverse(double_divide(identity,X1)),
inference(forward_demodulation,[],[f633,f3]) ).
fof(f633,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),X1),inverse(X0)) = double_divide(double_divide(identity,X1),identity),
inference(backward_demodulation,[],[f350,f575]) ).
fof(f350,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,inverse(identity)),X1),inverse(X0)) = double_divide(double_divide(identity,X1),inverse(identity)),
inference(superposition,[],[f52,f7]) ).
fof(f580,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(inverse(X0),X1),inverse(X0))),identity) = X1,
inference(backward_demodulation,[],[f52,f575]) ).
fof(f996,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(forward_demodulation,[],[f968,f993]) ).
fof(f993,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[],[f967,f15]) ).
fof(f967,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,multiply(identity,X0)),
inference(backward_demodulation,[],[f81,f951]) ).
fof(f951,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(X0)),
inference(backward_demodulation,[],[f626,f948]) ).
fof(f948,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f620,f947]) ).
fof(f620,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(X0,identity),
inference(backward_demodulation,[],[f306,f575]) ).
fof(f626,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(X0,identity)),
inference(backward_demodulation,[],[f322,f575]) ).
fof(f322,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(multiply(X0,identity)),
inference(superposition,[],[f11,f306]) ).
fof(f81,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = inverse(multiply(identity,inverse(X0))),
inference(superposition,[],[f15,f18]) ).
fof(f18,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f15,f15]) ).
fof(f968,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(identity,multiply(identity,X0)),
inference(backward_demodulation,[],[f82,f951]) ).
fof(f82,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = double_divide(multiply(identity,inverse(X0)),identity),
inference(superposition,[],[f8,f18]) ).
fof(f1014,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(forward_demodulation,[],[f1013,f1007]) ).
fof(f1007,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X0,X1)),
inference(backward_demodulation,[],[f906,f997]) ).
fof(f906,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X0,X1)),
inference(backward_demodulation,[],[f619,f897]) ).
fof(f619,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(identity,double_divide(X0,double_divide(identity,inverse(X1)))),
inference(backward_demodulation,[],[f304,f575]) ).
fof(f304,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(identity),double_divide(X0,double_divide(identity,inverse(X1)))),
inference(superposition,[],[f11,f60]) ).
fof(f1013,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(forward_demodulation,[],[f969,f997]) ).
fof(f969,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,multiply(identity,X0))),
inference(backward_demodulation,[],[f115,f951]) ).
fof(f115,plain,
! [X0] : inverse(multiply(identity,multiply(identity,X0))) = multiply(identity,multiply(identity,inverse(X0))),
inference(superposition,[],[f14,f17]) ).
fof(f17,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(multiply(identity,X0),identity),
inference(superposition,[],[f2,f8]) ).
fof(f14,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f1938,plain,
! [X0,X1] : multiply(double_divide(identity,double_divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[],[f1937,f575]) ).
fof(f1937,plain,
! [X0,X1] : multiply(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[],[f1875,f1190]) ).
fof(f1190,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f1007,f1008]) ).
fof(f1008,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f14,f997]) ).
fof(f1875,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X0)) = X1,
inference(superposition,[],[f723,f897]) ).
fof(f723,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1)),X0) = X2,
inference(superposition,[],[f576,f2]) ).
fof(f576,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),identity) = X2,
inference(backward_demodulation,[],[f7,f575]) ).
fof(f2427,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(double_divide(multiply(X2,X0),X1),X0),
inference(forward_demodulation,[],[f2371,f2035]) ).
fof(f2035,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f1944,f1879]) ).
fof(f1879,plain,
! [X0,X1] : multiply(double_divide(X1,inverse(X0)),X1) = X0,
inference(superposition,[],[f723,f1356]) ).
fof(f1356,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f1312,f1008]) ).
fof(f1312,plain,
! [X0,X1] : inverse(multiply(X0,double_divide(X0,X1))) = X1,
inference(superposition,[],[f1029,f3]) ).
fof(f1029,plain,
! [X2,X3] : double_divide(multiply(X2,double_divide(X2,X3)),identity) = X3,
inference(forward_demodulation,[],[f1024,f11]) ).
fof(f1024,plain,
! [X2,X3] : double_divide(inverse(double_divide(double_divide(X2,X3),X2)),identity) = X3,
inference(backward_demodulation,[],[f745,f1015]) ).
fof(f745,plain,
! [X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(X2,X3),X2)),identity) = X3,
inference(backward_demodulation,[],[f591,f723]) ).
fof(f591,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X2,X3),multiply(double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1)),X0))),identity) = X3,
inference(backward_demodulation,[],[f72,f575]) ).
fof(f72,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X2,X3),multiply(double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1)),X0))),inverse(identity)) = X3,
inference(forward_demodulation,[],[f56,f11]) ).
fof(f56,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X2,X3),inverse(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1)))))),inverse(identity)) = X3,
inference(superposition,[],[f7,f7]) ).
fof(f1944,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(forward_demodulation,[],[f1943,f11]) ).
fof(f1943,plain,
! [X0,X1] : multiply(inverse(double_divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[],[f1942,f1015]) ).
fof(f1942,plain,
! [X0,X1] : multiply(double_divide(identity,double_divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[],[f1941,f575]) ).
fof(f1941,plain,
! [X0,X1] : multiply(double_divide(inverse(identity),double_divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[],[f1876,f1190]) ).
fof(f1876,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),inverse(identity)),X0) = X1,
inference(superposition,[],[f723,f1015]) ).
fof(f2371,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(double_divide(double_divide(inverse(X0),inverse(X2)),X1),X0),
inference(superposition,[],[f1019,f998]) ).
fof(f998,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f15,f997]) ).
fof(f1019,plain,
! [X2,X0,X1] : multiply(X2,X0) = double_divide(double_divide(double_divide(X1,inverse(X0)),X2),inverse(X1)),
inference(backward_demodulation,[],[f648,f1015]) ).
fof(f648,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),inverse(X1)) = multiply(X2,X0),
inference(forward_demodulation,[],[f647,f11]) ).
fof(f647,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),inverse(X1)) = inverse(double_divide(X0,X2)),
inference(forward_demodulation,[],[f587,f3]) ).
fof(f587,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),inverse(X1)) = double_divide(double_divide(X0,X2),identity),
inference(backward_demodulation,[],[f66,f575]) ).
fof(f66,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),inverse(X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
inference(superposition,[],[f7,f7]) ).
fof(f3695,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(superposition,[],[f2099,f1008]) ).
fof(f2099,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f1944,f1946]) ).
fof(f1946,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(forward_demodulation,[],[f1945,f1015]) ).
fof(f1945,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X1),X0),X0) = X1,
inference(forward_demodulation,[],[f1877,f998]) ).
fof(f1877,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X1),inverse(inverse(X0))),X0) = X1,
inference(superposition,[],[f723,f999]) ).
fof(f999,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[],[f21,f997]) ).
fof(f21,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f15]) ).
fof(f8246,plain,
! [X2,X0,X1] : multiply(X2,inverse(double_divide(X0,X1))) = multiply(multiply(X1,X0),X2),
inference(forward_demodulation,[],[f8060,f1015]) ).
fof(f8060,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X2,double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f5349,f2]) ).
fof(f5349,plain,
! [X2,X0,X1] : multiply(X2,double_divide(X0,X1)) = multiply(double_divide(X1,X0),X2),
inference(forward_demodulation,[],[f5348,f1007]) ).
fof(f5348,plain,
! [X2,X0,X1] : multiply(X2,double_divide(X0,X1)) = multiply(inverse(multiply(X1,X0)),X2),
inference(forward_demodulation,[],[f5125,f3]) ).
fof(f5125,plain,
! [X2,X0,X1] : multiply(X2,double_divide(X0,X1)) = multiply(double_divide(multiply(X1,X0),identity),X2),
inference(superposition,[],[f1967,f29]) ).
fof(f1967,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(X1,X0),double_divide(double_divide(double_divide(X0,X1),X2),X3)),X2) = X3,
inference(forward_demodulation,[],[f1892,f1190]) ).
fof(f1892,plain,
! [X2,X3,X0,X1] : multiply(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),X3),multiply(X1,X0)),X2) = X3,
inference(superposition,[],[f723,f11]) ).
fof(f1289,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(superposition,[],[f5,f1259]) ).
fof(f1259,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f1197,f11]) ).
fof(f1197,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f998,f1007]) ).
fof(f5,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
% 0.04/0.11 % Problem : GRP579-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 20:53:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.18/0.34 % (11119)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36 % (11122)WARNING: value z3 for option sas not known
% 0.18/0.36 % (11124)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)
% 0.18/0.36 % (11121)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (11126)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)
% 0.18/0.36 % (11123)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (11125)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)
% 0.18/0.36 % (11122)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)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 % (11120)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 TRYING [3]
% 0.18/0.37 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [3]
% 0.18/0.38 TRYING [5]
% 0.18/0.39 TRYING [4]
% 0.18/0.41 TRYING [6]
% 0.18/0.54 TRYING [7]
% 0.18/0.54 % (11125)First to succeed.
% 0.18/0.54 % (11125)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11119"
% 0.18/0.55 % (11125)Refutation found. Thanks to Tanya!
% 0.18/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55 % (11125)------------------------------
% 0.18/0.55 % (11125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.55 % (11125)Termination reason: Refutation
% 0.18/0.55
% 0.18/0.55 % (11125)Memory used [KB]: 4059
% 0.18/0.55 % (11125)Time elapsed: 0.186 s
% 0.18/0.55 % (11125)Instructions burned: 508 (million)
% 0.18/0.55 % (11119)Success in time 0.201 s
%------------------------------------------------------------------------------