TSTP Solution File: GRP103-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n031.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 : Fri Sep 1 15:38:58 EDT 2023
% Result : Unsatisfiable 9.75s 1.82s
% Output : Refutation 9.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 5
% Syntax : Number of formulae : 203 ( 195 unt; 0 def)
% Number of atoms : 219 ( 218 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 26 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 287 (; 287 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32227,plain,
$false,
inference(trivial_inequality_removal,[],[f31989]) ).
fof(f31989,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2760,f13457]) ).
fof(f13457,plain,
! [X54,X55,X53] : multiply(X55,multiply(X54,X53)) = multiply(X54,multiply(X53,X55)),
inference(forward_demodulation,[],[f13218,f10]) ).
fof(f10,plain,
! [X2,X3] : multiply(X3,X2) = inverse(double_divide(X2,X3)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/tmp/tmp.NvBxNB0RGa/Vampire---4.8_31469',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.NvBxNB0RGa/Vampire---4.8_31469',multiply) ).
fof(f13218,plain,
! [X54,X55,X53] : multiply(X55,inverse(double_divide(X53,X54))) = multiply(X54,multiply(X53,X55)),
inference(superposition,[],[f2491,f12303]) ).
fof(f12303,plain,
! [X6,X4,X5] : multiply(double_divide(X5,X4),multiply(X4,multiply(X5,X6))) = X6,
inference(backward_demodulation,[],[f2886,f12300]) ).
fof(f12300,plain,
! [X2,X3,X1] : multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(backward_demodulation,[],[f4033,f12189]) ).
fof(f12189,plain,
! [X132,X133,X131] : multiply(X133,multiply(X132,X131)) = double_divide(inverse(X131),double_divide(X133,X132)),
inference(superposition,[],[f5118,f2464]) ).
fof(f2464,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[],[f2261,f2235]) ).
fof(f2235,plain,
! [X8,X7] : inverse(X8) = double_divide(inverse(X7),multiply(X7,X8)),
inference(superposition,[],[f1898,f1778]) ).
fof(f1778,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f15,f1776]) ).
fof(f1776,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f7,f1761]) ).
fof(f1761,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[],[f786,f1749]) ).
fof(f1749,plain,
! [X4] : inverse(X4) = double_divide(identity,multiply(X4,identity)),
inference(backward_demodulation,[],[f938,f1746]) ).
fof(f1746,plain,
! [X2] : double_divide(identity,double_divide(identity,X2)) = X2,
inference(backward_demodulation,[],[f927,f1745]) ).
fof(f1745,plain,
! [X9] : multiply(multiply(identity,X9),identity) = X9,
inference(forward_demodulation,[],[f1744,f994]) ).
fof(f994,plain,
! [X1] : multiply(multiply(X1,identity),identity) = X1,
inference(superposition,[],[f786,f2]) ).
fof(f1744,plain,
! [X9] : multiply(multiply(identity,X9),identity) = multiply(multiply(X9,identity),identity),
inference(forward_demodulation,[],[f1743,f15]) ).
fof(f1743,plain,
! [X9] : multiply(multiply(X9,identity),identity) = multiply(inverse(inverse(X9)),identity),
inference(forward_demodulation,[],[f1742,f2]) ).
fof(f1742,plain,
! [X9] : multiply(inverse(inverse(X9)),identity) = double_divide(double_divide(identity,multiply(X9,identity)),identity),
inference(forward_demodulation,[],[f1741,f791]) ).
fof(f791,plain,
! [X0,X1] : multiply(double_divide(X0,X1),identity) = double_divide(identity,multiply(X1,X0)),
inference(forward_demodulation,[],[f684,f704]) ).
fof(f704,plain,
! [X1] : double_divide(identity,X1) = multiply(identity,inverse(X1)),
inference(backward_demodulation,[],[f17,f680]) ).
fof(f680,plain,
! [X2] : double_divide(multiply(identity,X2),identity) = double_divide(identity,X2),
inference(backward_demodulation,[],[f263,f651]) ).
fof(f651,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f635,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.NvBxNB0RGa/Vampire---4.8_31469',identity) ).
fof(f635,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(backward_demodulation,[],[f299,f634]) ).
fof(f634,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[],[f633,f4]) ).
fof(f633,plain,
double_divide(identity,inverse(identity)) = multiply(identity,identity),
inference(forward_demodulation,[],[f632,f4]) ).
fof(f632,plain,
multiply(identity,identity) = double_divide(double_divide(inverse(identity),inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f622,f3]) ).
fof(f622,plain,
multiply(identity,identity) = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),identity)),inverse(identity)),
inference(superposition,[],[f244,f575]) ).
fof(f575,plain,
identity = inverse(multiply(identity,identity)),
inference(superposition,[],[f533,f3]) ).
fof(f533,plain,
identity = double_divide(multiply(identity,identity),identity),
inference(superposition,[],[f31,f512]) ).
fof(f512,plain,
identity = multiply(identity,inverse(identity)),
inference(forward_demodulation,[],[f511,f480]) ).
fof(f480,plain,
identity = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)),
inference(forward_demodulation,[],[f479,f15]) ).
fof(f479,plain,
identity = double_divide(double_divide(identity,inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f461,f3]) ).
fof(f461,plain,
identity = double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),
inference(superposition,[],[f317,f4]) ).
fof(f317,plain,
! [X0] : double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X0,inverse(identity)))),inverse(identity)) = X0,
inference(superposition,[],[f169,f3]) ).
fof(f169,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),inverse(identity)) = X1,
inference(superposition,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/tmp/tmp.NvBxNB0RGa/Vampire---4.8_31469',single_axiom) ).
fof(f511,plain,
multiply(identity,inverse(identity)) = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)),
inference(forward_demodulation,[],[f510,f15]) ).
fof(f510,plain,
multiply(identity,inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f469,f3]) ).
fof(f469,plain,
multiply(identity,inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),
inference(superposition,[],[f317,f346]) ).
fof(f346,plain,
identity = double_divide(multiply(identity,inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f345,f18]) ).
fof(f18,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f15,f15]) ).
fof(f345,plain,
identity = double_divide(inverse(multiply(identity,identity)),inverse(identity)),
inference(forward_demodulation,[],[f338,f3]) ).
fof(f338,plain,
identity = double_divide(double_divide(multiply(identity,identity),identity),inverse(identity)),
inference(superposition,[],[f259,f4]) ).
fof(f259,plain,
! [X1] : double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X1))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f245,f15]) ).
fof(f245,plain,
! [X1] : double_divide(double_divide(inverse(inverse(identity)),double_divide(identity,inverse(X1))),inverse(identity)) = X1,
inference(superposition,[],[f186,f4]) ).
fof(f186,plain,
! [X2,X3] : double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),inverse(X3))),inverse(identity)) = X3,
inference(forward_demodulation,[],[f172,f3]) ).
fof(f172,plain,
! [X2,X3] : double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),double_divide(X3,identity))),inverse(identity)) = X3,
inference(superposition,[],[f6,f4]) ).
fof(f31,plain,
! [X0] : identity = double_divide(multiply(identity,X0),multiply(identity,inverse(X0))),
inference(superposition,[],[f21,f15]) ).
fof(f21,plain,
! [X2] : identity = double_divide(inverse(X2),multiply(identity,X2)),
inference(superposition,[],[f4,f15]) ).
fof(f244,plain,
! [X0] : double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0))),inverse(identity)) = X0,
inference(superposition,[],[f186,f3]) ).
fof(f299,plain,
inverse(identity) = double_divide(multiply(identity,identity),inverse(identity)),
inference(forward_demodulation,[],[f298,f15]) ).
fof(f298,plain,
inverse(identity) = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f291,f3]) ).
fof(f291,plain,
inverse(identity) = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
inference(superposition,[],[f244,f4]) ).
fof(f263,plain,
! [X2] : double_divide(identity,X2) = double_divide(multiply(identity,X2),inverse(identity)),
inference(forward_demodulation,[],[f262,f15]) ).
fof(f262,plain,
! [X2] : double_divide(identity,X2) = double_divide(inverse(inverse(X2)),inverse(identity)),
inference(forward_demodulation,[],[f252,f3]) ).
fof(f252,plain,
! [X2] : double_divide(identity,X2) = double_divide(double_divide(inverse(X2),identity),inverse(identity)),
inference(superposition,[],[f186,f4]) ).
fof(f17,plain,
! [X1] : multiply(identity,inverse(X1)) = double_divide(multiply(identity,X1),identity),
inference(superposition,[],[f2,f7]) ).
fof(f684,plain,
! [X0,X1] : multiply(identity,inverse(multiply(X1,X0))) = multiply(double_divide(X0,X1),identity),
inference(backward_demodulation,[],[f281,f651]) ).
fof(f281,plain,
! [X0,X1] : multiply(double_divide(X0,X1),identity) = multiply(inverse(identity),inverse(multiply(X1,X0))),
inference(superposition,[],[f276,f14]) ).
fof(f14,plain,
! [X2,X3] : multiply(identity,double_divide(X2,X3)) = inverse(multiply(X3,X2)),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X2,X3] : multiply(identity,double_divide(X2,X3)) = double_divide(multiply(X3,X2),identity),
inference(superposition,[],[f2,f2]) ).
fof(f276,plain,
! [X5] : multiply(inverse(identity),multiply(identity,X5)) = multiply(X5,identity),
inference(forward_demodulation,[],[f273,f10]) ).
fof(f273,plain,
! [X5] : multiply(inverse(identity),multiply(identity,X5)) = inverse(double_divide(identity,X5)),
inference(superposition,[],[f10,f263]) ).
fof(f1741,plain,
! [X9] : multiply(inverse(inverse(X9)),identity) = double_divide(multiply(double_divide(identity,X9),identity),identity),
inference(forward_demodulation,[],[f1740,f784]) ).
fof(f784,plain,
! [X2] : multiply(X2,identity) = double_divide(identity,inverse(X2)),
inference(forward_demodulation,[],[f709,f736]) ).
fof(f736,plain,
! [X1] : multiply(identity,multiply(identity,X1)) = multiply(X1,identity),
inference(forward_demodulation,[],[f713,f10]) ).
fof(f713,plain,
! [X1] : multiply(identity,multiply(identity,X1)) = inverse(double_divide(identity,X1)),
inference(backward_demodulation,[],[f53,f704]) ).
fof(f53,plain,
! [X1] : multiply(identity,multiply(identity,X1)) = inverse(multiply(identity,inverse(X1))),
inference(superposition,[],[f15,f18]) ).
fof(f709,plain,
! [X2] : multiply(identity,multiply(identity,X2)) = double_divide(identity,inverse(X2)),
inference(backward_demodulation,[],[f54,f680]) ).
fof(f54,plain,
! [X2] : multiply(identity,multiply(identity,X2)) = double_divide(multiply(identity,inverse(X2)),identity),
inference(superposition,[],[f7,f18]) ).
fof(f1740,plain,
! [X9] : multiply(inverse(inverse(X9)),identity) = double_divide(double_divide(identity,inverse(double_divide(identity,X9))),identity),
inference(forward_demodulation,[],[f1704,f3]) ).
fof(f1704,plain,
! [X9] : multiply(inverse(inverse(X9)),identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,X9),identity)),identity),
inference(superposition,[],[f661,f1678]) ).
fof(f1678,plain,
! [X12] : identity = double_divide(multiply(inverse(X12),identity),X12),
inference(forward_demodulation,[],[f1677,f652]) ).
fof(f652,plain,
! [X1] : identity = multiply(inverse(X1),X1),
inference(backward_demodulation,[],[f12,f651]) ).
fof(f12,plain,
! [X1] : inverse(identity) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X1] : double_divide(identity,identity) = multiply(inverse(X1),X1),
inference(superposition,[],[f2,f4]) ).
fof(f1677,plain,
! [X12] : multiply(inverse(identity),identity) = double_divide(multiply(inverse(X12),identity),X12),
inference(forward_demodulation,[],[f1644,f772]) ).
fof(f772,plain,
! [X2] : double_divide(identity,multiply(identity,X2)) = multiply(inverse(X2),identity),
inference(forward_demodulation,[],[f705,f736]) ).
fof(f705,plain,
! [X2] : multiply(identity,multiply(identity,inverse(X2))) = double_divide(identity,multiply(identity,X2)),
inference(backward_demodulation,[],[f135,f680]) ).
fof(f135,plain,
! [X2] : multiply(identity,multiply(identity,inverse(X2))) = double_divide(multiply(identity,multiply(identity,X2)),identity),
inference(superposition,[],[f7,f53]) ).
fof(f1644,plain,
! [X12] : double_divide(identity,multiply(identity,identity)) = double_divide(multiply(inverse(X12),identity),X12),
inference(superposition,[],[f1203,f1351]) ).
fof(f1351,plain,
! [X2] : identity = inverse(double_divide(multiply(inverse(X2),identity),X2)),
inference(superposition,[],[f811,f3]) ).
fof(f811,plain,
! [X0] : identity = double_divide(double_divide(multiply(inverse(X0),identity),X0),identity),
inference(forward_demodulation,[],[f810,f772]) ).
fof(f810,plain,
! [X0] : identity = double_divide(double_divide(double_divide(identity,multiply(identity,X0)),X0),identity),
inference(forward_demodulation,[],[f692,f791]) ).
fof(f692,plain,
! [X0] : identity = double_divide(double_divide(multiply(double_divide(X0,identity),identity),X0),identity),
inference(backward_demodulation,[],[f328,f651]) ).
fof(f328,plain,
! [X0] : identity = double_divide(double_divide(multiply(double_divide(X0,inverse(identity)),inverse(identity)),X0),inverse(identity)),
inference(forward_demodulation,[],[f327,f3]) ).
fof(f327,plain,
! [X0] : identity = double_divide(double_divide(multiply(double_divide(X0,double_divide(identity,identity)),inverse(identity)),X0),inverse(identity)),
inference(forward_demodulation,[],[f319,f10]) ).
fof(f319,plain,
! [X0] : identity = double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X0,double_divide(identity,identity)))),X0),inverse(identity)),
inference(superposition,[],[f186,f169]) ).
fof(f1203,plain,
! [X9] : double_divide(identity,multiply(inverse(X9),identity)) = X9,
inference(forward_demodulation,[],[f1192,f994]) ).
fof(f1192,plain,
! [X9] : multiply(multiply(X9,identity),identity) = double_divide(identity,multiply(inverse(X9),identity)),
inference(superposition,[],[f784,f922]) ).
fof(f922,plain,
! [X6] : inverse(multiply(X6,identity)) = multiply(inverse(X6),identity),
inference(forward_demodulation,[],[f921,f772]) ).
fof(f921,plain,
! [X6] : double_divide(identity,multiply(identity,X6)) = inverse(multiply(X6,identity)),
inference(forward_demodulation,[],[f914,f14]) ).
fof(f914,plain,
! [X6] : double_divide(identity,multiply(identity,X6)) = multiply(identity,double_divide(identity,X6)),
inference(superposition,[],[f704,f710]) ).
fof(f710,plain,
! [X0] : double_divide(identity,X0) = inverse(multiply(identity,X0)),
inference(backward_demodulation,[],[f18,f704]) ).
fof(f661,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),identity) = X1,
inference(backward_demodulation,[],[f171,f651]) ).
fof(f171,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[],[f6,f3]) ).
fof(f927,plain,
! [X2] : double_divide(identity,double_divide(identity,X2)) = multiply(multiply(identity,X2),identity),
inference(superposition,[],[f784,f710]) ).
fof(f938,plain,
! [X4] : double_divide(identity,multiply(X4,identity)) = inverse(double_divide(identity,double_divide(identity,X4))),
inference(backward_demodulation,[],[f797,f927]) ).
fof(f797,plain,
! [X4] : inverse(multiply(multiply(identity,X4),identity)) = double_divide(identity,multiply(X4,identity)),
inference(backward_demodulation,[],[f744,f791]) ).
fof(f744,plain,
! [X4] : multiply(double_divide(identity,X4),identity) = inverse(multiply(multiply(identity,X4),identity)),
inference(forward_demodulation,[],[f743,f736]) ).
fof(f743,plain,
! [X4] : inverse(multiply(identity,multiply(identity,multiply(identity,X4)))) = multiply(double_divide(identity,X4),identity),
inference(forward_demodulation,[],[f717,f736]) ).
fof(f717,plain,
! [X4] : inverse(multiply(identity,multiply(identity,multiply(identity,X4)))) = multiply(identity,multiply(identity,double_divide(identity,X4))),
inference(backward_demodulation,[],[f131,f704]) ).
fof(f131,plain,
! [X4] : multiply(identity,multiply(identity,multiply(identity,inverse(X4)))) = inverse(multiply(identity,multiply(identity,multiply(identity,X4)))),
inference(superposition,[],[f53,f53]) ).
fof(f786,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(backward_demodulation,[],[f673,f784]) ).
fof(f673,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),identity) = X0,
inference(backward_demodulation,[],[f244,f651]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f15,plain,
! [X1] : inverse(inverse(X1)) = multiply(identity,X1),
inference(superposition,[],[f7,f3]) ).
fof(f1898,plain,
! [X3,X4] : inverse(X4) = double_divide(X3,multiply(inverse(X3),X4)),
inference(forward_demodulation,[],[f1897,f1827]) ).
fof(f1827,plain,
! [X2] : inverse(X2) = double_divide(identity,X2),
inference(forward_demodulation,[],[f1782,f3]) ).
fof(f1782,plain,
! [X2] : double_divide(identity,X2) = double_divide(X2,identity),
inference(backward_demodulation,[],[f680,f1776]) ).
fof(f1897,plain,
! [X3,X4] : inverse(X4) = double_divide(X3,multiply(double_divide(identity,X3),X4)),
inference(forward_demodulation,[],[f1765,f1802]) ).
fof(f1802,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(identity,double_divide(X0,X1)),
inference(backward_demodulation,[],[f905,f1778]) ).
fof(f905,plain,
! [X0,X1] : inverse(inverse(multiply(X1,X0))) = double_divide(identity,double_divide(X0,X1)),
inference(superposition,[],[f710,f14]) ).
fof(f1765,plain,
! [X3,X4] : inverse(X4) = double_divide(X3,double_divide(identity,double_divide(X4,double_divide(identity,X3)))),
inference(backward_demodulation,[],[f816,f1749]) ).
fof(f816,plain,
! [X3,X4] : double_divide(X3,double_divide(identity,double_divide(X4,double_divide(identity,X3)))) = double_divide(identity,multiply(X4,identity)),
inference(forward_demodulation,[],[f699,f784]) ).
fof(f699,plain,
! [X3,X4] : double_divide(identity,double_divide(identity,inverse(X4))) = double_divide(X3,double_divide(identity,double_divide(X4,double_divide(identity,X3)))),
inference(backward_demodulation,[],[f508,f651]) ).
fof(f508,plain,
! [X3,X4] : double_divide(inverse(identity),double_divide(inverse(identity),inverse(X4))) = double_divide(X3,double_divide(inverse(identity),double_divide(X4,double_divide(identity,X3)))),
inference(backward_demodulation,[],[f496,f502]) ).
fof(f502,plain,
! [X6] : double_divide(inverse(identity),double_divide(inverse(identity),inverse(X6))) = double_divide(multiply(identity,identity),double_divide(identity,inverse(X6))),
inference(backward_demodulation,[],[f465,f467]) ).
fof(f467,plain,
! [X9] : double_divide(inverse(identity),double_divide(inverse(identity),inverse(X9))) = double_divide(double_divide(identity,double_divide(inverse(identity),X9)),inverse(identity)),
inference(superposition,[],[f317,f244]) ).
fof(f465,plain,
! [X6] : double_divide(multiply(identity,identity),double_divide(identity,inverse(X6))) = double_divide(double_divide(identity,double_divide(inverse(identity),X6)),inverse(identity)),
inference(superposition,[],[f317,f259]) ).
fof(f496,plain,
! [X3,X4] : double_divide(multiply(identity,identity),double_divide(identity,inverse(X4))) = double_divide(X3,double_divide(inverse(identity),double_divide(X4,double_divide(identity,X3)))),
inference(backward_demodulation,[],[f487,f492]) ).
fof(f492,plain,
! [X5] : double_divide(multiply(identity,identity),double_divide(identity,inverse(X5))) = double_divide(identity,double_divide(inverse(identity),double_divide(X5,inverse(identity)))),
inference(backward_demodulation,[],[f464,f465]) ).
fof(f464,plain,
! [X5] : double_divide(identity,double_divide(inverse(identity),double_divide(X5,inverse(identity)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X5)),inverse(identity)),
inference(superposition,[],[f317,f317]) ).
fof(f487,plain,
! [X3,X4] : double_divide(X3,double_divide(inverse(identity),double_divide(X4,double_divide(identity,X3)))) = double_divide(identity,double_divide(inverse(identity),double_divide(X4,inverse(identity)))),
inference(backward_demodulation,[],[f463,f464]) ).
fof(f463,plain,
! [X3,X4] : double_divide(X3,double_divide(inverse(identity),double_divide(X4,double_divide(identity,X3)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X4)),inverse(identity)),
inference(superposition,[],[f317,f169]) ).
fof(f2261,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(backward_demodulation,[],[f2255,f2247]) ).
fof(f2247,plain,
! [X12,X13] : multiply(inverse(X12),X13) = double_divide(inverse(X13),X12),
inference(superposition,[],[f2086,f1898]) ).
fof(f2086,plain,
! [X2,X3] : double_divide(double_divide(X3,X2),X3) = X2,
inference(superposition,[],[f2079,f2079]) ).
fof(f2079,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f2068,f1778]) ).
fof(f2068,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f1877,f2030]) ).
fof(f2030,plain,
! [X8,X9] : inverse(X8) = multiply(double_divide(X8,X9),X9),
inference(forward_demodulation,[],[f2029,f1827]) ).
fof(f2029,plain,
! [X8,X9] : double_divide(identity,X8) = multiply(double_divide(X8,X9),X9),
inference(forward_demodulation,[],[f2028,f1877]) ).
fof(f2028,plain,
! [X8,X9] : inverse(multiply(X8,identity)) = multiply(double_divide(X8,X9),X9),
inference(forward_demodulation,[],[f2011,f3]) ).
fof(f2011,plain,
! [X8,X9] : multiply(double_divide(X8,X9),X9) = double_divide(multiply(X8,identity),identity),
inference(superposition,[],[f1887,f1887]) ).
fof(f1887,plain,
! [X21,X20] : double_divide(multiply(double_divide(X21,X20),X20),identity) = X21,
inference(forward_demodulation,[],[f1886,f1848]) ).
fof(f1848,plain,
! [X2] : multiply(X2,identity) = X2,
inference(backward_demodulation,[],[f784,f1837]) ).
fof(f1837,plain,
! [X2] : double_divide(identity,inverse(X2)) = X2,
inference(backward_demodulation,[],[f1746,f1827]) ).
fof(f1886,plain,
! [X21,X20] : double_divide(multiply(double_divide(X21,X20),multiply(X20,identity)),identity) = X21,
inference(forward_demodulation,[],[f1790,f1802]) ).
fof(f1790,plain,
! [X21,X20] : double_divide(double_divide(identity,double_divide(multiply(X20,identity),double_divide(X21,X20))),identity) = X21,
inference(backward_demodulation,[],[f788,f1776]) ).
fof(f788,plain,
! [X21,X20] : double_divide(double_divide(identity,double_divide(multiply(X20,identity),double_divide(X21,multiply(identity,X20)))),identity) = X21,
inference(backward_demodulation,[],[f664,f784]) ).
fof(f664,plain,
! [X21,X20] : double_divide(double_divide(identity,double_divide(double_divide(identity,inverse(X20)),double_divide(X21,multiply(identity,X20)))),identity) = X21,
inference(backward_demodulation,[],[f179,f651]) ).
fof(f179,plain,
! [X21,X20] : double_divide(double_divide(identity,double_divide(double_divide(identity,inverse(X20)),double_divide(X21,multiply(identity,X20)))),inverse(identity)) = X21,
inference(superposition,[],[f6,f7]) ).
fof(f1877,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f1845,f1848]) ).
fof(f1845,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(double_divide(X0,X1),identity),
inference(backward_demodulation,[],[f791,f1827]) ).
fof(f2255,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[],[f2254,f1778]) ).
fof(f2254,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f2241,f3]) ).
fof(f2241,plain,
! [X0,X1] : double_divide(inverse(X1),identity) = multiply(multiply(inverse(X0),X1),X0),
inference(superposition,[],[f2,f1898]) ).
fof(f5118,plain,
! [X10,X8,X9] : multiply(X8,X9) = double_divide(X10,double_divide(X8,multiply(X10,X9))),
inference(forward_demodulation,[],[f5040,f10]) ).
fof(f5040,plain,
! [X10,X8,X9] : inverse(double_divide(X9,X8)) = double_divide(X10,double_divide(X8,multiply(X10,X9))),
inference(superposition,[],[f2854,f2079]) ).
fof(f2854,plain,
! [X10,X11,X12] : inverse(X11) = double_divide(X12,double_divide(X10,multiply(X12,double_divide(X10,X11)))),
inference(backward_demodulation,[],[f2764,f2853]) ).
fof(f2853,plain,
! [X18,X19,X17] : double_divide(X18,double_divide(inverse(X17),X19)) = multiply(X19,double_divide(X17,X18)),
inference(forward_demodulation,[],[f2791,f10]) ).
fof(f2791,plain,
! [X18,X19,X17] : inverse(double_divide(double_divide(X17,X18),X19)) = double_divide(X18,double_divide(inverse(X17),X19)),
inference(superposition,[],[f1896,f2086]) ).
fof(f1896,plain,
! [X2,X0,X1] : inverse(X2) = double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))),
inference(forward_demodulation,[],[f1764,f1827]) ).
fof(f1764,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = inverse(X2),
inference(backward_demodulation,[],[f815,f1749]) ).
fof(f815,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(identity,multiply(X2,identity)),
inference(forward_demodulation,[],[f698,f784]) ).
fof(f698,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(identity,double_divide(identity,inverse(X2))),
inference(backward_demodulation,[],[f507,f651]) ).
fof(f507,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X2))),
inference(backward_demodulation,[],[f493,f502]) ).
fof(f493,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(multiply(identity,identity),double_divide(identity,inverse(X2))),
inference(backward_demodulation,[],[f491,f492]) ).
fof(f491,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(identity,double_divide(inverse(identity),double_divide(X2,inverse(identity)))),
inference(backward_demodulation,[],[f462,f464]) ).
fof(f462,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X2)),inverse(identity)),
inference(superposition,[],[f317,f6]) ).
fof(f2764,plain,
! [X10,X11,X12] : inverse(X11) = double_divide(X12,double_divide(X10,double_divide(X11,double_divide(inverse(X10),X12)))),
inference(superposition,[],[f1896,f1778]) ).
fof(f4033,plain,
! [X2,X3,X1] : double_divide(inverse(X3),double_divide(X1,X2)) = multiply(multiply(X1,X2),X3),
inference(superposition,[],[f2247,f2558]) ).
fof(f2558,plain,
! [X14,X15] : multiply(X14,X15) = inverse(double_divide(X14,X15)),
inference(superposition,[],[f2030,f2534]) ).
fof(f2534,plain,
! [X10,X11] : double_divide(double_divide(X11,X10),X10) = X11,
inference(forward_demodulation,[],[f2533,f1778]) ).
fof(f2533,plain,
! [X10,X11] : inverse(inverse(X11)) = double_divide(double_divide(X11,X10),X10),
inference(forward_demodulation,[],[f2519,f1877]) ).
fof(f2519,plain,
! [X10,X11] : inverse(inverse(X11)) = double_divide(inverse(multiply(X10,X11)),X10),
inference(superposition,[],[f2235,f2482]) ).
fof(f2482,plain,
! [X3,X4] : multiply(multiply(X4,X3),inverse(X3)) = X4,
inference(backward_demodulation,[],[f2441,f2478]) ).
fof(f2478,plain,
! [X2,X3] : multiply(X3,X2) = double_divide(inverse(X2),inverse(X3)),
inference(forward_demodulation,[],[f2456,f10]) ).
fof(f2456,plain,
! [X2,X3] : inverse(double_divide(X2,X3)) = double_divide(inverse(X2),inverse(X3)),
inference(superposition,[],[f2235,f2095]) ).
fof(f2095,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X1,X0)),
inference(superposition,[],[f2030,f2079]) ).
fof(f2441,plain,
! [X3,X4] : multiply(double_divide(inverse(X3),inverse(X4)),inverse(X3)) = X4,
inference(forward_demodulation,[],[f2440,f1778]) ).
fof(f2440,plain,
! [X3,X4] : inverse(inverse(X4)) = multiply(double_divide(inverse(X3),inverse(X4)),inverse(X3)),
inference(forward_demodulation,[],[f2426,f3]) ).
fof(f2426,plain,
! [X3,X4] : double_divide(inverse(X4),identity) = multiply(double_divide(inverse(X3),inverse(X4)),inverse(X3)),
inference(superposition,[],[f2,f1899]) ).
fof(f1899,plain,
! [X8,X7] : inverse(X8) = double_divide(inverse(X7),double_divide(inverse(X7),inverse(X8))),
inference(forward_demodulation,[],[f1766,f1827]) ).
fof(f1766,plain,
! [X8,X7] : inverse(X8) = double_divide(inverse(X7),double_divide(double_divide(identity,X7),inverse(X8))),
inference(backward_demodulation,[],[f818,f1749]) ).
fof(f818,plain,
! [X8,X7] : double_divide(inverse(X7),double_divide(double_divide(identity,X7),inverse(X8))) = double_divide(identity,multiply(X8,identity)),
inference(forward_demodulation,[],[f700,f784]) ).
fof(f700,plain,
! [X8,X7] : double_divide(inverse(X7),double_divide(double_divide(identity,X7),inverse(X8))) = double_divide(identity,double_divide(identity,inverse(X8))),
inference(backward_demodulation,[],[f509,f651]) ).
fof(f509,plain,
! [X8,X7] : double_divide(inverse(X7),double_divide(double_divide(identity,X7),inverse(X8))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X8))),
inference(backward_demodulation,[],[f498,f502]) ).
fof(f498,plain,
! [X8,X7] : double_divide(inverse(X7),double_divide(double_divide(identity,X7),inverse(X8))) = double_divide(multiply(identity,identity),double_divide(identity,inverse(X8))),
inference(forward_demodulation,[],[f466,f465]) ).
fof(f466,plain,
! [X8,X7] : double_divide(inverse(X7),double_divide(double_divide(identity,X7),inverse(X8))) = double_divide(double_divide(identity,double_divide(inverse(identity),X8)),inverse(identity)),
inference(superposition,[],[f317,f186]) ).
fof(f2886,plain,
! [X6,X4,X5] : multiply(double_divide(X5,X4),multiply(multiply(X4,X5),X6)) = X6,
inference(superposition,[],[f2483,f1877]) ).
fof(f2483,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(backward_demodulation,[],[f2425,f2478]) ).
fof(f2425,plain,
! [X0,X1] : multiply(inverse(X1),double_divide(inverse(X0),inverse(X1))) = X0,
inference(superposition,[],[f2261,f1899]) ).
fof(f2491,plain,
! [X2,X3] : multiply(multiply(X2,X3),inverse(X2)) = X3,
inference(forward_demodulation,[],[f2490,f1778]) ).
fof(f2490,plain,
! [X2,X3] : inverse(inverse(X3)) = multiply(multiply(X2,X3),inverse(X2)),
inference(forward_demodulation,[],[f2465,f3]) ).
fof(f2465,plain,
! [X2,X3] : double_divide(inverse(X3),identity) = multiply(multiply(X2,X3),inverse(X2)),
inference(superposition,[],[f2,f2235]) ).
fof(f2760,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(trivial_inequality_removal,[],[f2759]) ).
fof(f2759,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)) ),
inference(forward_demodulation,[],[f2742,f2702]) ).
fof(f2702,plain,
! [X16,X15] : multiply(X16,X15) = multiply(X15,X16),
inference(forward_demodulation,[],[f2683,f1778]) ).
fof(f2683,plain,
! [X16,X15] : multiply(X15,X16) = multiply(inverse(inverse(X16)),X15),
inference(superposition,[],[f2464,f2482]) ).
fof(f2742,plain,
( multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(superposition,[],[f1801,f2702]) ).
fof(f1801,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f1800]) ).
fof(f1800,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f703,f1776]) ).
fof(f703,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f653]) ).
fof(f653,plain,
( identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f13,f651]) ).
fof(f13,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| identity != inverse(identity) ),
inference(backward_demodulation,[],[f5,f12]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/tmp/tmp.NvBxNB0RGa/Vampire---4.8_31469',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n031.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 : Wed Aug 30 17:54:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.17/0.41 % (31575)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.42 % (31578)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.42 % (31581)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 Vampire---4 for (531ds/0Mi)
% 0.17/0.42 % (31582)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 Vampire---4 for (522ds/0Mi)
% 0.17/0.42 % (31580)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.42 % (31579)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 Vampire---4 for (569ds/0Mi)
% 0.17/0.42 % (31583)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 Vampire---4 for (497ds/0Mi)
% 0.17/0.42 % (31577)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.42 TRYING [3]
% 0.17/0.42 TRYING [3]
% 0.17/0.43 TRYING [4]
% 0.17/0.44 TRYING [5]
% 0.17/0.44 TRYING [4]
% 0.17/0.50 TRYING [6]
% 4.26/1.00 TRYING [7]
% 4.34/1.14 TRYING [5]
% 7.76/1.52 TRYING [1]
% 7.76/1.52 TRYING [2]
% 7.76/1.52 TRYING [3]
% 7.76/1.52 TRYING [4]
% 7.76/1.55 TRYING [5]
% 8.16/1.63 TRYING [6]
% 9.75/1.81 % (31582)First to succeed.
% 9.75/1.82 % (31582)Refutation found. Thanks to Tanya!
% 9.75/1.82 % SZS status Unsatisfiable for Vampire---4
% 9.75/1.82 % SZS output start Proof for Vampire---4
% See solution above
% 9.75/1.82 % (31582)------------------------------
% 9.75/1.82 % (31582)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 9.75/1.82 % (31582)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 9.75/1.82 % (31582)Termination reason: Refutation
% 9.75/1.82
% 9.75/1.82 % (31582)Memory used [KB]: 50148
% 9.75/1.82 % (31582)Time elapsed: 1.396 s
% 9.75/1.82 % (31582)------------------------------
% 9.75/1.82 % (31582)------------------------------
% 9.75/1.82 % (31575)Success in time 1.461 s
% 9.75/1.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------