TSTP Solution File: GRP615-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP615-1 : 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 : n015.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 : Tue Apr 30 12:07:44 EDT 2024
% Result : Unsatisfiable 3.45s 0.87s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 3
% Syntax : Number of formulae : 149 ( 149 unt; 0 def)
% Number of atoms : 149 ( 148 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 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 : 444 ( 444 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16809,plain,
$false,
inference(trivial_inequality_removal,[],[f16754]) ).
fof(f16754,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f3,f15862]) ).
fof(f15862,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f15613,f8845]) ).
fof(f8845,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[],[f8610,f8042]) ).
fof(f8042,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(X2)) = multiply(X0,multiply(X2,X1)),
inference(backward_demodulation,[],[f3843,f8027]) ).
fof(f8027,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f7845,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f7845,plain,
! [X2,X0,X1] : multiply(inverse(double_divide(X0,X1)),X2) = multiply(X1,multiply(X2,X0)),
inference(superposition,[],[f1300,f460]) ).
fof(f460,plain,
! [X2,X0,X1] : multiply(double_divide(X1,X2),multiply(X2,multiply(X0,X1))) = X0,
inference(superposition,[],[f8,f390]) ).
fof(f390,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f378,f183]) ).
fof(f183,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(inverse(X0)),inverse(X1))) = X0,
inference(superposition,[],[f98,f94]) ).
fof(f94,plain,
! [X3,X0] : inverse(X0) = multiply(X3,multiply(inverse(X0),inverse(X3))),
inference(forward_demodulation,[],[f81,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(multiply(X2,multiply(inverse(X1),X0)),double_divide(X0,X2)) = X1,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : double_divide(multiply(X2,inverse(double_divide(X0,inverse(X1)))),double_divide(X0,X2)) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f81,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(X3,multiply(double_divide(multiply(X2,multiply(inverse(inverse(X0)),X1)),double_divide(X1,X2)),inverse(X3))),
inference(superposition,[],[f9,f9]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(X1,multiply(double_divide(X2,X0),multiply(inverse(X3),multiply(X0,multiply(inverse(X1),X2))))),
inference(superposition,[],[f8,f5]) ).
fof(f98,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X2),multiply(X1,X0)),double_divide(X0,X1)) = X2,
inference(superposition,[],[f96,f2]) ).
fof(f96,plain,
! [X3,X0] : double_divide(multiply(inverse(X0),inverse(X3)),X3) = X0,
inference(forward_demodulation,[],[f85,f5]) ).
fof(f85,plain,
! [X2,X3,X0,X1] : double_divide(multiply(double_divide(multiply(X2,multiply(inverse(inverse(X0)),X1)),double_divide(X1,X2)),inverse(X3)),X3) = X0,
inference(superposition,[],[f7,f9]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(multiply(double_divide(X2,X0),multiply(inverse(X3),multiply(X0,multiply(inverse(X1),X2)))),X1) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f378,plain,
! [X2,X1] : double_divide(inverse(X2),double_divide(inverse(X2),X1)) = X1,
inference(backward_demodulation,[],[f367,f368]) ).
fof(f368,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X1),multiply(X0,inverse(X0))),
inference(superposition,[],[f2,f314]) ).
fof(f314,plain,
! [X0,X1] : double_divide(multiply(X1,inverse(X1)),inverse(X0)) = X0,
inference(superposition,[],[f128,f98]) ).
fof(f128,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(multiply(X1,X0),double_divide(inverse(X2),X2)),
inference(superposition,[],[f114,f2]) ).
fof(f114,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
inference(superposition,[],[f5,f94]) ).
fof(f367,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(multiply(inverse(X2),multiply(X0,inverse(X0))),X1)) = X1,
inference(superposition,[],[f12,f314]) ).
fof(f12,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(multiply(inverse(X2),X0),double_divide(X0,inverse(X1)))) = X1,
inference(superposition,[],[f5,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : inverse(X1) = multiply(double_divide(X2,X0),multiply(X0,multiply(inverse(X1),X2))),
inference(superposition,[],[f2,f5]) ).
fof(f1300,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f1281,f2]) ).
fof(f1281,plain,
! [X0,X1] : multiply(inverse(X1),inverse(double_divide(X0,X1))) = X0,
inference(superposition,[],[f1115,f503]) ).
fof(f503,plain,
! [X0,X1] : inverse(X1) = multiply(double_divide(X0,X1),X0),
inference(superposition,[],[f2,f479]) ).
fof(f479,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f378,f390]) ).
fof(f1115,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1104,f2]) ).
fof(f1104,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X1)) = X0,
inference(superposition,[],[f546,f696]) ).
fof(f696,plain,
! [X3,X4] : inverse(X3) = multiply(X4,double_divide(X4,X3)),
inference(forward_demodulation,[],[f695,f600]) ).
fof(f600,plain,
! [X3,X0] : double_divide(double_divide(X3,X0),X3) = X0,
inference(backward_demodulation,[],[f96,f577]) ).
fof(f577,plain,
! [X0,X1] : double_divide(X1,X0) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f572,f96]) ).
fof(f572,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f559,f390]) ).
fof(f559,plain,
! [X0,X1] : double_divide(X1,double_divide(inverse(inverse(X0)),X1)) = X0,
inference(superposition,[],[f98,f465]) ).
fof(f465,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X1))) = X0,
inference(superposition,[],[f94,f390]) ).
fof(f695,plain,
! [X3,X0,X4] : inverse(X3) = multiply(X4,double_divide(double_divide(double_divide(X0,X4),X0),X3)),
inference(forward_demodulation,[],[f694,f390]) ).
fof(f694,plain,
! [X3,X0,X4] : inverse(X3) = multiply(X4,double_divide(double_divide(double_divide(inverse(inverse(X0)),X4),X0),X3)),
inference(forward_demodulation,[],[f693,f470]) ).
fof(f470,plain,
! [X2,X0,X1] : inverse(X0) = double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X1)),
inference(superposition,[],[f98,f390]) ).
fof(f693,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = multiply(X4,double_divide(double_divide(double_divide(double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1)),X4),X0),X3)),
inference(forward_demodulation,[],[f650,f582]) ).
fof(f582,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = double_divide(double_divide(X2,X0),X1),
inference(superposition,[],[f572,f5]) ).
fof(f650,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = multiply(X4,double_divide(double_divide(multiply(double_divide(X2,X1),multiply(inverse(X4),multiply(inverse(X0),multiply(X1,X2)))),X0),X3)),
inference(backward_demodulation,[],[f198,f582]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = multiply(X4,multiply(X0,multiply(inverse(X3),multiply(double_divide(X2,X1),multiply(inverse(X4),multiply(inverse(X0),multiply(X1,X2))))))),
inference(superposition,[],[f9,f98]) ).
fof(f546,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[],[f465,f390]) ).
fof(f3843,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X0,X1),inverse(X2)),
inference(superposition,[],[f1277,f847]) ).
fof(f847,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = multiply(X1,X0),
inference(superposition,[],[f2,f597]) ).
fof(f597,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f479,f572]) ).
fof(f1277,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(superposition,[],[f546,f1081]) ).
fof(f1081,plain,
! [X0,X1] : multiply(double_divide(X1,inverse(X0)),X1) = X0,
inference(superposition,[],[f1004,f572]) ).
fof(f1004,plain,
! [X0,X1] : multiply(X1,double_divide(inverse(X0),X1)) = X0,
inference(backward_demodulation,[],[f465,f996]) ).
fof(f996,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(superposition,[],[f465,f503]) ).
fof(f8610,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = double_divide(double_divide(X0,X1),inverse(X2)),
inference(superposition,[],[f547,f1081]) ).
fof(f547,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,double_divide(X1,X0))) = X2,
inference(superposition,[],[f465,f456]) ).
fof(f456,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(superposition,[],[f390,f2]) ).
fof(f15613,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X2,X0),X1),
inference(superposition,[],[f777,f13955]) ).
fof(f13955,plain,
! [X2,X0,X1] : double_divide(multiply(X2,X0),double_divide(X0,multiply(X1,X2))) = X1,
inference(superposition,[],[f12746,f13330]) ).
fof(f13330,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,multiply(X2,X0)),multiply(X1,X0)) = X2,
inference(forward_demodulation,[],[f13131,f8061]) ).
fof(f8061,plain,
! [X2,X3,X1] : double_divide(multiply(X1,X2),X3) = double_divide(X2,multiply(X3,X1)),
inference(forward_demodulation,[],[f8044,f1460]) ).
fof(f1460,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X1,X0)),
inference(superposition,[],[f456,f1426]) ).
fof(f1426,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f1412,f390]) ).
fof(f1412,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,inverse(inverse(X0))),
inference(superposition,[],[f1116,f1115]) ).
fof(f1116,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1105,f2]) ).
fof(f1105,plain,
! [X0,X1] : multiply(inverse(double_divide(X1,X0)),inverse(X1)) = X0,
inference(superposition,[],[f546,f610]) ).
fof(f610,plain,
! [X2,X1] : inverse(X2) = multiply(X1,double_divide(X2,X1)),
inference(backward_demodulation,[],[f382,f577]) ).
fof(f382,plain,
! [X2,X1] : inverse(X2) = multiply(X1,multiply(inverse(X1),inverse(X2))),
inference(forward_demodulation,[],[f372,f368]) ).
fof(f372,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X1,multiply(inverse(X1),multiply(inverse(X2),multiply(X0,inverse(X0))))),
inference(superposition,[],[f8,f314]) ).
fof(f8044,plain,
! [X2,X3,X1] : double_divide(multiply(X1,X2),X3) = inverse(multiply(X2,multiply(X3,X1))),
inference(backward_demodulation,[],[f3903,f8027]) ).
fof(f3903,plain,
! [X2,X3,X1] : double_divide(multiply(X1,X2),X3) = inverse(multiply(multiply(X2,X1),X3)),
inference(backward_demodulation,[],[f3514,f3843]) ).
fof(f3514,plain,
! [X2,X3,X1] : double_divide(multiply(X1,X2),X3) = inverse(double_divide(double_divide(X2,X1),inverse(X3))),
inference(forward_demodulation,[],[f3513,f3493]) ).
fof(f3493,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(multiply(multiply(X1,X2),X0),X3)) = double_divide(double_divide(X2,X1),inverse(X3)),
inference(forward_demodulation,[],[f3405,f585]) ).
fof(f585,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,X2)) = double_divide(double_divide(X2,X1),X0),
inference(superposition,[],[f572,f98]) ).
fof(f3405,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(multiply(multiply(X1,X2),X0),X3)) = multiply(inverse(inverse(X3)),multiply(X1,X2)),
inference(superposition,[],[f546,f1392]) ).
fof(f1392,plain,
! [X2,X3,X0,X1] : multiply(X1,X2) = multiply(double_divide(X0,double_divide(multiply(multiply(X1,X2),X0),X3)),inverse(X3)),
inference(forward_demodulation,[],[f1383,f2]) ).
fof(f1383,plain,
! [X2,X3,X0,X1] : multiply(X1,X2) = multiply(double_divide(X0,double_divide(inverse(double_divide(X0,multiply(X1,X2))),X3)),inverse(X3)),
inference(backward_demodulation,[],[f1202,f1349]) ).
fof(f1349,plain,
! [X2,X0,X1] : double_divide(double_divide(inverse(X2),X1),X0) = double_divide(X2,double_divide(inverse(X0),X1)),
inference(superposition,[],[f600,f1008]) ).
fof(f1008,plain,
! [X3,X0,X4] : double_divide(double_divide(inverse(X4),X3),double_divide(double_divide(inverse(X0),X3),X4)) = X0,
inference(backward_demodulation,[],[f730,f996]) ).
fof(f730,plain,
! [X3,X0,X4] : double_divide(multiply(X4,inverse(X3)),double_divide(double_divide(inverse(X0),X3),X4)) = X0,
inference(forward_demodulation,[],[f675,f457]) ).
fof(f457,plain,
! [X2,X0,X1] : inverse(X0) = double_divide(multiply(X1,multiply(X0,X2)),double_divide(X2,X1)),
inference(superposition,[],[f5,f390]) ).
fof(f675,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X4,inverse(X3)),double_divide(double_divide(double_divide(multiply(X2,multiply(X0,X1)),double_divide(X1,X2)),X3),X4)) = X0,
inference(backward_demodulation,[],[f427,f582]) ).
fof(f427,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X4,inverse(X3)),double_divide(multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(X0,X1)))),X4)) = X0,
inference(backward_demodulation,[],[f90,f390]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X4,inverse(X3)),double_divide(multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(inverse(X0)),X1)))),X4)) = X0,
inference(superposition,[],[f5,f9]) ).
fof(f1202,plain,
! [X2,X3,X0,X1] : multiply(X1,X2) = multiply(double_divide(double_divide(inverse(X0),X3),double_divide(X0,multiply(X1,X2))),inverse(X3)),
inference(backward_demodulation,[],[f33,f1189]) ).
fof(f1189,plain,
! [X0,X1] : multiply(inverse(X1),X0) = double_divide(inverse(X0),X1),
inference(superposition,[],[f546,f1080]) ).
fof(f1080,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(superposition,[],[f1004,f479]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : multiply(X1,X2) = multiply(double_divide(multiply(inverse(X3),X0),double_divide(X0,multiply(X1,X2))),inverse(X3)),
inference(superposition,[],[f10,f8]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(double_divide(X2,X3),multiply(X3,multiply(multiply(X1,X0),X2))),
inference(superposition,[],[f8,f2]) ).
fof(f3513,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X1,X2),X3) = inverse(double_divide(X0,double_divide(multiply(multiply(X1,X2),X0),X3))),
inference(forward_demodulation,[],[f3409,f390]) ).
fof(f3409,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,double_divide(multiply(multiply(X1,X2),X0),X3))) = double_divide(multiply(X1,X2),inverse(inverse(X3))),
inference(superposition,[],[f1124,f1392]) ).
fof(f1124,plain,
! [X0,X1] : inverse(X1) = double_divide(multiply(X1,X0),inverse(X0)),
inference(forward_demodulation,[],[f1123,f491]) ).
fof(f491,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(X1,inverse(X1))),
inference(forward_demodulation,[],[f474,f454]) ).
fof(f454,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(X0),X1),
inference(backward_demodulation,[],[f389,f390]) ).
fof(f389,plain,
! [X0,X1] : double_divide(inverse(inverse(X1)),inverse(X0)) = double_divide(inverse(X0),X1),
inference(superposition,[],[f378,f183]) ).
fof(f474,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(inverse(X1),X1)),
inference(superposition,[],[f114,f390]) ).
fof(f1123,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,inverse(X2))) = double_divide(multiply(X1,X0),inverse(X0)),
inference(forward_demodulation,[],[f1111,f597]) ).
fof(f1111,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X2),X2)) = double_divide(multiply(X1,X0),inverse(X0)),
inference(superposition,[],[f128,f546]) ).
fof(f13131,plain,
! [X2,X0,X1] : double_divide(double_divide(multiply(X0,X1),X2),multiply(X1,X0)) = X2,
inference(superposition,[],[f12763,f600]) ).
fof(f12763,plain,
! [X2,X0,X1] : double_divide(X2,multiply(X1,X0)) = double_divide(X2,multiply(X0,X1)),
inference(superposition,[],[f600,f12135]) ).
fof(f12135,plain,
! [X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(X4,multiply(X1,X0))) = X4,
inference(forward_demodulation,[],[f12134,f9607]) ).
fof(f9607,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(X0,double_divide(X1,multiply(X0,X2))),
inference(forward_demodulation,[],[f9606,f8061]) ).
fof(f9606,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(X0,double_divide(multiply(X2,X1),X0)),
inference(forward_demodulation,[],[f9605,f2]) ).
fof(f9605,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(X0,double_divide(inverse(double_divide(X1,X2)),X0)),
inference(forward_demodulation,[],[f9604,f1189]) ).
fof(f9604,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(X0,multiply(inverse(X0),double_divide(X1,X2))),
inference(forward_demodulation,[],[f9505,f2]) ).
fof(f9505,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(X0,inverse(double_divide(double_divide(X1,X2),inverse(X0)))),
inference(superposition,[],[f1401,f1277]) ).
fof(f1401,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(X2,double_divide(double_divide(X1,X0),X2)),
inference(backward_demodulation,[],[f1062,f1399]) ).
fof(f1399,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X0),X1) = multiply(double_divide(inverse(X0),X1),X2),
inference(forward_demodulation,[],[f1398,f1207]) ).
fof(f1207,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X0),X1) = multiply(X0,double_divide(inverse(X2),X1)),
inference(backward_demodulation,[],[f582,f1189]) ).
fof(f1398,plain,
! [X2,X0,X1] : multiply(double_divide(inverse(X0),X1),X2) = multiply(X0,double_divide(inverse(X2),X1)),
inference(forward_demodulation,[],[f1352,f2]) ).
fof(f1352,plain,
! [X2,X0,X1] : multiply(double_divide(inverse(X0),X1),X2) = inverse(double_divide(double_divide(inverse(X2),X1),X0)),
inference(superposition,[],[f696,f1008]) ).
fof(f1062,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(X2,multiply(double_divide(inverse(X0),X2),X1)),
inference(forward_demodulation,[],[f1043,f2]) ).
fof(f1043,plain,
! [X2,X0,X1] : inverse(double_divide(X0,X1)) = multiply(X2,multiply(double_divide(inverse(X0),X2),X1)),
inference(superposition,[],[f613,f479]) ).
fof(f613,plain,
! [X2,X3,X0] : inverse(X3) = multiply(X2,multiply(double_divide(inverse(X0),X2),double_divide(X0,X3))),
inference(backward_demodulation,[],[f403,f577]) ).
fof(f403,plain,
! [X2,X3,X0] : inverse(X3) = multiply(X2,multiply(double_divide(inverse(X0),X2),multiply(inverse(X3),inverse(X0)))),
inference(backward_demodulation,[],[f15,f387]) ).
fof(f387,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))) = double_divide(inverse(X0),X2),
inference(superposition,[],[f378,f12]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(X2,multiply(double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))),multiply(inverse(X3),inverse(X0)))),
inference(superposition,[],[f8,f12]) ).
fof(f12134,plain,
! [X2,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(X4,double_divide(X2,double_divide(X1,multiply(X2,X0))))) = X4,
inference(forward_demodulation,[],[f12133,f10832]) ).
fof(f10832,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X1,multiply(X0,X2))) = multiply(X0,double_divide(X3,double_divide(X1,X2))),
inference(superposition,[],[f8067,f8067]) ).
fof(f8067,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(X2,double_divide(X0,multiply(X2,X1))),
inference(backward_demodulation,[],[f1074,f8061]) ).
fof(f1074,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(X2,double_divide(multiply(X1,X0),X2)),
inference(superposition,[],[f1004,f2]) ).
fof(f12133,plain,
! [X2,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(X4,multiply(X2,double_divide(X2,double_divide(X1,X0))))) = X4,
inference(forward_demodulation,[],[f12132,f479]) ).
fof(f12132,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(X3,double_divide(X3,double_divide(X4,multiply(X2,double_divide(X2,double_divide(X1,X0))))))) = X4,
inference(forward_demodulation,[],[f12122,f10832]) ).
fof(f12122,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(X3,multiply(X2,double_divide(X3,double_divide(X4,double_divide(X2,double_divide(X1,X0))))))) = X4,
inference(backward_demodulation,[],[f8143,f12012]) ).
fof(f12012,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,double_divide(X1,X2))) = multiply(double_divide(X3,multiply(X2,X1)),X0),
inference(superposition,[],[f8068,f777]) ).
fof(f8068,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(X0,multiply(X2,X1)),X2),
inference(backward_demodulation,[],[f1172,f8061]) ).
fof(f1172,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),X2),X2),
inference(superposition,[],[f1080,f2]) ).
fof(f8143,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(X3,multiply(X2,multiply(double_divide(X3,multiply(double_divide(X1,X0),X2)),X4)))) = X4,
inference(forward_demodulation,[],[f8142,f1426]) ).
fof(f8142,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(X3,multiply(multiply(double_divide(X3,multiply(double_divide(X1,X0),X2)),X4),X2))) = X4,
inference(forward_demodulation,[],[f8107,f8061]) ).
fof(f8107,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(multiply(X2,X3),multiply(double_divide(X3,multiply(double_divide(X1,X0),X2)),X4))) = X4,
inference(backward_demodulation,[],[f3912,f8061]) ).
fof(f3912,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(multiply(X2,X3),multiply(double_divide(multiply(X2,X3),double_divide(X1,X0)),X4))) = X4,
inference(backward_demodulation,[],[f487,f3846]) ).
fof(f3846,plain,
! [X2,X0,X1] : multiply(double_divide(X0,X1),X2) = double_divide(multiply(X0,X1),inverse(X2)),
inference(superposition,[],[f1277,f1460]) ).
fof(f487,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(multiply(X2,X3),double_divide(multiply(multiply(X2,X3),double_divide(X1,X0)),inverse(X4)))) = X4,
inference(backward_demodulation,[],[f248,f456]) ).
fof(f248,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X0,X1),double_divide(multiply(X2,X3),double_divide(multiply(multiply(X2,X3),inverse(multiply(X0,X1))),inverse(X4)))) = X4,
inference(superposition,[],[f13,f109]) ).
fof(f109,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(X2,multiply(multiply(X1,X0),inverse(X2))),
inference(superposition,[],[f94,f2]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X1,X0),double_divide(multiply(multiply(X1,X0),X2),double_divide(X2,inverse(X3)))) = X3,
inference(superposition,[],[f12,f2]) ).
fof(f12746,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(X2,X1),X0),
inference(superposition,[],[f12135,f608]) ).
fof(f608,plain,
! [X2,X1] : double_divide(double_divide(X2,X1),X1) = X2,
inference(backward_demodulation,[],[f380,f577]) ).
fof(f380,plain,
! [X2,X1] : double_divide(multiply(inverse(X1),inverse(X2)),X1) = X2,
inference(forward_demodulation,[],[f369,f368]) ).
fof(f369,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X1),multiply(inverse(X2),multiply(X0,inverse(X0)))),X1) = X2,
inference(superposition,[],[f5,f314]) ).
fof(f777,plain,
! [X2,X3,X0] : multiply(X2,X3) = multiply(X0,double_divide(X0,double_divide(X3,X2))),
inference(forward_demodulation,[],[f759,f600]) ).
fof(f759,plain,
! [X2,X3,X0,X1] : multiply(X2,X3) = multiply(X0,double_divide(double_divide(double_divide(X1,X0),X1),double_divide(X3,X2))),
inference(backward_demodulation,[],[f606,f583]) ).
fof(f583,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X1,X2),X3)) = double_divide(double_divide(X3,X0),double_divide(X2,X1)),
inference(superposition,[],[f572,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = double_divide(multiply(X2,multiply(multiply(X1,X0),X3)),double_divide(X3,X2)),
inference(superposition,[],[f5,f2]) ).
fof(f606,plain,
! [X2,X3,X0,X1] : multiply(X2,X3) = multiply(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X1,X0)))),
inference(backward_demodulation,[],[f105,f577]) ).
fof(f105,plain,
! [X2,X3,X0,X1] : multiply(X2,X3) = multiply(X0,multiply(X1,multiply(multiply(X2,X3),multiply(inverse(X0),inverse(X1))))),
inference(superposition,[],[f10,f96]) ).
fof(f3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP615-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:44:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (14497)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (14500)WARNING: value z3 for option sas not known
% 0.13/0.37 % (14501)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (14502)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)
% 0.13/0.37 % (14499)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (14503)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)
% 0.13/0.37 % (14504)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)
% 0.13/0.37 % (14500)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 % (14498)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [3]
% 0.19/0.41 TRYING [4]
% 0.19/0.43 TRYING [5]
% 3.45/0.86 % (14503)First to succeed.
% 3.45/0.87 % (14503)Refutation found. Thanks to Tanya!
% 3.45/0.87 % SZS status Unsatisfiable for theBenchmark
% 3.45/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/0.87 % (14503)------------------------------
% 3.45/0.87 % (14503)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.45/0.87 % (14503)Termination reason: Refutation
% 3.45/0.87
% 3.45/0.87 % (14503)Memory used [KB]: 6965
% 3.45/0.87 % (14503)Time elapsed: 0.492 s
% 3.45/0.87 % (14503)Instructions burned: 997 (million)
% 3.45/0.87 % (14503)------------------------------
% 3.45/0.87 % (14503)------------------------------
% 3.45/0.87 % (14497)Success in time 0.5 s
%------------------------------------------------------------------------------