TSTP Solution File: GRP103-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---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 : n024.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 : Thu Aug 31 01:21:24 EDT 2023
% Result : Unsatisfiable 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 5
% Syntax : Number of formulae : 175 ( 167 unt; 0 def)
% Number of atoms : 193 ( 192 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 28 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 257 (; 257 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4415,plain,
$false,
inference(trivial_inequality_removal,[],[f4414]) ).
fof(f4414,plain,
multiply(a4,b4) != multiply(a4,b4),
inference(forward_demodulation,[],[f4399,f1311]) ).
fof(f1311,plain,
! [X2,X1] : multiply(X1,X2) = multiply(X2,X1),
inference(forward_demodulation,[],[f1310,f6]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/tmp/tmp.hYK8jWMROd/Vampire---4.8_2324',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.hYK8jWMROd/Vampire---4.8_2324',multiply) ).
fof(f1310,plain,
! [X2,X1] : multiply(X1,X2) = inverse(double_divide(X1,X2)),
inference(forward_demodulation,[],[f1291,f1268]) ).
fof(f1268,plain,
! [X6,X7] : multiply(X7,X6) = double_divide(inverse(X6),inverse(X7)),
inference(forward_demodulation,[],[f1247,f6]) ).
fof(f1247,plain,
! [X6,X7] : inverse(double_divide(X6,X7)) = double_divide(inverse(X6),inverse(X7)),
inference(superposition,[],[f1080,f1029]) ).
fof(f1029,plain,
! [X6,X7] : inverse(X7) = multiply(X6,double_divide(X6,X7)),
inference(superposition,[],[f6,f1003]) ).
fof(f1003,plain,
! [X2,X3] : double_divide(double_divide(X3,X2),X3) = X2,
inference(superposition,[],[f876,f876]) ).
fof(f876,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f875,f872]) ).
fof(f872,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f854,f863]) ).
fof(f863,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f858,f829]) ).
fof(f829,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f828,f8]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f6,f3]) ).
fof(f828,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f827,f290]) ).
fof(f290,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f289,f273]) ).
fof(f273,plain,
inverse(identity) = inverse(inverse(identity)),
inference(forward_demodulation,[],[f272,f3]) ).
fof(f272,plain,
double_divide(identity,identity) = inverse(inverse(identity)),
inference(forward_demodulation,[],[f271,f3]) ).
fof(f271,plain,
double_divide(identity,identity) = double_divide(inverse(identity),identity),
inference(forward_demodulation,[],[f270,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.hYK8jWMROd/Vampire---4.8_2324',identity) ).
fof(f270,plain,
double_divide(identity,identity) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(inverse(identity)))),
inference(forward_demodulation,[],[f269,f64]) ).
fof(f64,plain,
! [X2] : double_divide(identity,X2) = double_divide(inverse(inverse(X2)),inverse(identity)),
inference(forward_demodulation,[],[f57,f3]) ).
fof(f57,plain,
! [X2] : double_divide(identity,X2) = double_divide(double_divide(inverse(X2),identity),inverse(identity)),
inference(superposition,[],[f48,f4]) ).
fof(f48,plain,
! [X2,X3] : double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),inverse(X3))),inverse(identity)) = X3,
inference(forward_demodulation,[],[f42,f3]) ).
fof(f42,plain,
! [X2,X3] : double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),double_divide(X3,identity))),inverse(identity)) = X3,
inference(superposition,[],[f7,f4]) ).
fof(f7,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.hYK8jWMROd/Vampire---4.8_2324',single_axiom) ).
fof(f269,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(inverse(identity)))) = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f265,f205]) ).
fof(f205,plain,
! [X9] : double_divide(identity,double_divide(inverse(identity),double_divide(X9,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X9))),
inference(forward_demodulation,[],[f175,f173]) ).
fof(f173,plain,
! [X7] : double_divide(inverse(identity),double_divide(inverse(identity),inverse(X7))) = double_divide(double_divide(identity,double_divide(inverse(identity),X7)),inverse(identity)),
inference(superposition,[],[f157,f53]) ).
fof(f53,plain,
! [X0] : double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0))),inverse(identity)) = X0,
inference(superposition,[],[f48,f3]) ).
fof(f157,plain,
! [X0] : double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X0,inverse(identity)))),inverse(identity)) = X0,
inference(superposition,[],[f39,f3]) ).
fof(f39,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),inverse(identity)) = X1,
inference(superposition,[],[f7,f3]) ).
fof(f175,plain,
! [X9] : double_divide(identity,double_divide(inverse(identity),double_divide(X9,inverse(identity)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X9)),inverse(identity)),
inference(superposition,[],[f157,f157]) ).
fof(f265,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity)))),
inference(superposition,[],[f67,f261]) ).
fof(f261,plain,
inverse(identity) = multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),
inference(superposition,[],[f6,f231]) ).
fof(f231,plain,
identity = double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))),
inference(superposition,[],[f200,f9]) ).
fof(f9,plain,
! [X1] : inverse(identity) = multiply(inverse(X1),X1),
inference(superposition,[],[f6,f4]) ).
fof(f200,plain,
! [X0] : double_divide(inverse(identity),double_divide(inverse(identity),multiply(inverse(identity),X0))) = X0,
inference(forward_demodulation,[],[f196,f6]) ).
fof(f196,plain,
! [X0] : double_divide(inverse(identity),double_divide(inverse(identity),inverse(double_divide(X0,inverse(identity))))) = X0,
inference(backward_demodulation,[],[f157,f173]) ).
fof(f67,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(inverse(multiply(X1,X0)),inverse(identity)),
inference(superposition,[],[f64,f6]) ).
fof(f289,plain,
identity = inverse(inverse(identity)),
inference(forward_demodulation,[],[f288,f3]) ).
fof(f288,plain,
identity = double_divide(inverse(identity),identity),
inference(forward_demodulation,[],[f287,f4]) ).
fof(f287,plain,
identity = double_divide(inverse(identity),double_divide(identity,inverse(identity))),
inference(backward_demodulation,[],[f231,f276]) ).
fof(f276,plain,
! [X8] : double_divide(inverse(identity),double_divide(inverse(identity),inverse(X8))) = double_divide(inverse(identity),double_divide(identity,inverse(X8))),
inference(backward_demodulation,[],[f201,f273]) ).
fof(f201,plain,
! [X8] : double_divide(inverse(inverse(identity)),double_divide(identity,inverse(X8))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X8))),
inference(forward_demodulation,[],[f174,f173]) ).
fof(f174,plain,
! [X8] : double_divide(inverse(inverse(identity)),double_divide(identity,inverse(X8))) = double_divide(double_divide(identity,double_divide(inverse(identity),X8)),inverse(identity)),
inference(superposition,[],[f157,f54]) ).
fof(f54,plain,
! [X1] : double_divide(double_divide(inverse(inverse(identity)),double_divide(identity,inverse(X1))),inverse(identity)) = X1,
inference(superposition,[],[f48,f4]) ).
fof(f827,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(forward_demodulation,[],[f796,f290]) ).
fof(f796,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f334,f733]) ).
fof(f733,plain,
! [X2] : identity = multiply(double_divide(identity,X2),X2),
inference(forward_demodulation,[],[f732,f449]) ).
fof(f449,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f444,f339]) ).
fof(f339,plain,
! [X4] : multiply(X4,identity) = double_divide(identity,inverse(X4)),
inference(forward_demodulation,[],[f338,f332]) ).
fof(f332,plain,
! [X2] : double_divide(identity,X2) = inverse(inverse(inverse(X2))),
inference(forward_demodulation,[],[f299,f3]) ).
fof(f299,plain,
! [X2] : double_divide(identity,X2) = double_divide(inverse(inverse(X2)),identity),
inference(backward_demodulation,[],[f64,f290]) ).
fof(f338,plain,
! [X4] : multiply(X4,identity) = inverse(inverse(inverse(inverse(X4)))),
inference(forward_demodulation,[],[f302,f8]) ).
fof(f302,plain,
! [X4] : multiply(X4,identity) = multiply(identity,inverse(inverse(X4))),
inference(backward_demodulation,[],[f72,f290]) ).
fof(f72,plain,
! [X4] : multiply(inverse(identity),inverse(inverse(X4))) = multiply(X4,identity),
inference(forward_demodulation,[],[f71,f6]) ).
fof(f71,plain,
! [X4] : multiply(inverse(identity),inverse(inverse(X4))) = inverse(double_divide(identity,X4)),
inference(superposition,[],[f6,f64]) ).
fof(f444,plain,
! [X0] : double_divide(identity,inverse(multiply(X0,identity))) = X0,
inference(backward_demodulation,[],[f372,f441]) ).
fof(f441,plain,
! [X2] : multiply(inverse(X2),identity) = inverse(multiply(X2,identity)),
inference(forward_demodulation,[],[f440,f339]) ).
fof(f440,plain,
! [X2] : double_divide(identity,inverse(inverse(X2))) = inverse(multiply(X2,identity)),
inference(forward_demodulation,[],[f435,f6]) ).
fof(f435,plain,
! [X2] : double_divide(identity,inverse(inverse(X2))) = inverse(inverse(double_divide(identity,X2))),
inference(superposition,[],[f332,f332]) ).
fof(f372,plain,
! [X0] : double_divide(identity,multiply(inverse(X0),identity)) = X0,
inference(forward_demodulation,[],[f371,f342]) ).
fof(f342,plain,
! [X0,X1] : multiply(double_divide(X0,X1),identity) = double_divide(identity,multiply(X1,X0)),
inference(forward_demodulation,[],[f341,f332]) ).
fof(f341,plain,
! [X0,X1] : multiply(double_divide(X0,X1),identity) = inverse(inverse(inverse(multiply(X1,X0)))),
inference(forward_demodulation,[],[f303,f8]) ).
fof(f303,plain,
! [X0,X1] : multiply(double_divide(X0,X1),identity) = multiply(identity,inverse(multiply(X1,X0))),
inference(backward_demodulation,[],[f75,f290]) ).
fof(f75,plain,
! [X0,X1] : multiply(double_divide(X0,X1),identity) = multiply(inverse(identity),inverse(multiply(X1,X0))),
inference(superposition,[],[f72,f6]) ).
fof(f371,plain,
! [X0] : multiply(double_divide(identity,inverse(X0)),identity) = X0,
inference(forward_demodulation,[],[f370,f6]) ).
fof(f370,plain,
! [X0] : inverse(double_divide(identity,double_divide(identity,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f313,f3]) ).
fof(f313,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),identity) = X0,
inference(backward_demodulation,[],[f279,f290]) ).
fof(f279,plain,
! [X0] : double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(backward_demodulation,[],[f53,f276]) ).
fof(f732,plain,
! [X2] : identity = multiply(double_divide(identity,X2),multiply(multiply(X2,identity),identity)),
inference(forward_demodulation,[],[f731,f339]) ).
fof(f731,plain,
! [X2] : identity = multiply(double_divide(identity,X2),double_divide(identity,inverse(multiply(X2,identity)))),
inference(forward_demodulation,[],[f730,f441]) ).
fof(f730,plain,
! [X2] : identity = multiply(double_divide(identity,X2),double_divide(identity,multiply(inverse(X2),identity))),
inference(forward_demodulation,[],[f729,f332]) ).
fof(f729,plain,
! [X2] : identity = multiply(double_divide(identity,X2),inverse(inverse(inverse(multiply(inverse(X2),identity))))),
inference(forward_demodulation,[],[f717,f441]) ).
fof(f717,plain,
! [X2] : identity = multiply(double_divide(identity,X2),inverse(inverse(multiply(inverse(inverse(X2)),identity)))),
inference(superposition,[],[f607,f332]) ).
fof(f607,plain,
! [X1] : identity = multiply(inverse(X1),inverse(inverse(multiply(X1,identity)))),
inference(superposition,[],[f445,f441]) ).
fof(f445,plain,
! [X0] : identity = multiply(X0,inverse(multiply(X0,identity))),
inference(backward_demodulation,[],[f361,f441]) ).
fof(f361,plain,
! [X0] : identity = multiply(X0,multiply(inverse(X0),identity)),
inference(forward_demodulation,[],[f360,f339]) ).
fof(f360,plain,
! [X0] : identity = multiply(X0,double_divide(identity,inverse(inverse(X0)))),
inference(forward_demodulation,[],[f359,f8]) ).
fof(f359,plain,
! [X0] : identity = multiply(X0,double_divide(identity,multiply(identity,X0))),
inference(forward_demodulation,[],[f358,f342]) ).
fof(f358,plain,
! [X0] : identity = multiply(X0,multiply(double_divide(X0,identity),identity)),
inference(forward_demodulation,[],[f357,f6]) ).
fof(f357,plain,
! [X0] : identity = inverse(double_divide(multiply(double_divide(X0,identity),identity),X0)),
inference(forward_demodulation,[],[f307,f3]) ).
fof(f307,plain,
! [X0] : identity = double_divide(double_divide(multiply(double_divide(X0,identity),identity),X0),identity),
inference(backward_demodulation,[],[f166,f290]) ).
fof(f166,plain,
! [X0] : identity = double_divide(double_divide(multiply(double_divide(X0,inverse(identity)),inverse(identity)),X0),inverse(identity)),
inference(forward_demodulation,[],[f165,f3]) ).
fof(f165,plain,
! [X0] : identity = double_divide(double_divide(multiply(double_divide(X0,double_divide(identity,identity)),inverse(identity)),X0),inverse(identity)),
inference(forward_demodulation,[],[f159,f6]) ).
fof(f159,plain,
! [X0] : identity = double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X0,double_divide(identity,identity)))),X0),inverse(identity)),
inference(superposition,[],[f48,f39]) ).
fof(f334,plain,
! [X2,X3] : multiply(inverse(inverse(multiply(double_divide(identity,X2),X3))),X2) = X3,
inference(backward_demodulation,[],[f323,f333]) ).
fof(f333,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = inverse(inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f300,f3]) ).
fof(f300,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(inverse(multiply(X1,X0)),identity),
inference(backward_demodulation,[],[f67,f290]) ).
fof(f323,plain,
! [X2,X3] : multiply(double_divide(identity,double_divide(X3,double_divide(identity,X2))),X2) = X3,
inference(forward_demodulation,[],[f322,f6]) ).
fof(f322,plain,
! [X2,X3] : inverse(double_divide(X2,double_divide(identity,double_divide(X3,double_divide(identity,X2))))) = X3,
inference(forward_demodulation,[],[f294,f3]) ).
fof(f294,plain,
! [X2,X3] : double_divide(double_divide(X2,double_divide(identity,double_divide(X3,double_divide(identity,X2)))),identity) = X3,
inference(backward_demodulation,[],[f40,f290]) ).
fof(f40,plain,
! [X2,X3] : double_divide(double_divide(X2,double_divide(identity,double_divide(X3,double_divide(inverse(identity),X2)))),inverse(identity)) = X3,
inference(superposition,[],[f7,f4]) ).
fof(f858,plain,
! [X4] : inverse(inverse(X4)) = multiply(X4,identity),
inference(backward_demodulation,[],[f339,f831]) ).
fof(f831,plain,
! [X2] : inverse(X2) = double_divide(identity,X2),
inference(backward_demodulation,[],[f332,f829]) ).
fof(f854,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(double_divide(X0,X1),identity),
inference(backward_demodulation,[],[f342,f831]) ).
fof(f875,plain,
! [X0,X1] : inverse(multiply(double_divide(X1,X0),X0)) = X1,
inference(forward_demodulation,[],[f832,f831]) ).
fof(f832,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X1,X0),X0)) = X1,
inference(backward_demodulation,[],[f383,f829]) ).
fof(f383,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X1,X0),inverse(inverse(X0)))) = X1,
inference(backward_demodulation,[],[f378,f382]) ).
fof(f382,plain,
! [X4] : inverse(X4) = multiply(multiply(inverse(X4),identity),identity),
inference(forward_demodulation,[],[f381,f6]) ).
fof(f381,plain,
! [X4] : inverse(X4) = inverse(double_divide(identity,multiply(inverse(X4),identity))),
inference(forward_demodulation,[],[f380,f342]) ).
fof(f380,plain,
! [X4] : inverse(X4) = inverse(multiply(double_divide(identity,inverse(X4)),identity)),
inference(forward_demodulation,[],[f379,f6]) ).
fof(f379,plain,
! [X4] : inverse(X4) = inverse(inverse(double_divide(identity,double_divide(identity,inverse(X4))))),
inference(forward_demodulation,[],[f315,f8]) ).
fof(f315,plain,
! [X4] : inverse(X4) = multiply(identity,double_divide(identity,double_divide(identity,inverse(X4)))),
inference(backward_demodulation,[],[f281,f290]) ).
fof(f281,plain,
! [X4] : inverse(X4) = multiply(inverse(identity),double_divide(inverse(identity),double_divide(identity,inverse(X4)))),
inference(backward_demodulation,[],[f85,f276]) ).
fof(f85,plain,
! [X4] : inverse(X4) = multiply(inverse(identity),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X4)))),
inference(superposition,[],[f6,f53]) ).
fof(f378,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X1,X0),inverse(multiply(multiply(inverse(X0),identity),identity)))) = X1,
inference(forward_demodulation,[],[f377,f6]) ).
fof(f377,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X1,X0),inverse(inverse(double_divide(identity,multiply(inverse(X0),identity)))))) = X1,
inference(forward_demodulation,[],[f376,f342]) ).
fof(f376,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X1,X0),inverse(inverse(multiply(double_divide(identity,inverse(X0)),identity))))) = X1,
inference(forward_demodulation,[],[f375,f333]) ).
fof(f375,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X1,X0),double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0)))))) = X1,
inference(forward_demodulation,[],[f374,f342]) ).
fof(f374,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0)))),double_divide(X1,X0)),identity) = X1,
inference(forward_demodulation,[],[f373,f6]) ).
fof(f373,plain,
! [X0,X1] : inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0)))),double_divide(X1,X0)))) = X1,
inference(forward_demodulation,[],[f314,f3]) ).
fof(f314,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0)))),double_divide(X1,X0))),identity) = X1,
inference(backward_demodulation,[],[f280,f290]) ).
fof(f280,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(X0)))),double_divide(X1,X0))),inverse(identity)) = X1,
inference(backward_demodulation,[],[f82,f276]) ).
fof(f82,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0)))),double_divide(X1,X0))),inverse(identity)) = X1,
inference(superposition,[],[f7,f53]) ).
fof(f1080,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f872,f892]) ).
fof(f892,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(forward_demodulation,[],[f842,f863]) ).
fof(f842,plain,
! [X0,X1] : multiply(multiply(multiply(X0,identity),X1),inverse(X0)) = X1,
inference(backward_demodulation,[],[f793,f829]) ).
fof(f793,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(multiply(X0,identity),X1))),inverse(X0)) = X1,
inference(superposition,[],[f334,f339]) ).
fof(f1291,plain,
! [X2,X1] : inverse(double_divide(X1,X2)) = double_divide(inverse(X2),inverse(X1)),
inference(superposition,[],[f1269,f1010]) ).
fof(f1010,plain,
! [X4,X5] : inverse(X5) = multiply(double_divide(X5,X4),X4),
inference(superposition,[],[f6,f876]) ).
fof(f1269,plain,
! [X6,X5] : inverse(X6) = double_divide(inverse(X5),multiply(X6,X5)),
inference(backward_demodulation,[],[f869,f1268]) ).
fof(f869,plain,
! [X6,X5] : inverse(X6) = double_divide(inverse(X5),double_divide(inverse(X5),inverse(X6))),
inference(backward_demodulation,[],[f860,f863]) ).
fof(f860,plain,
! [X6,X5] : double_divide(inverse(X5),double_divide(inverse(X5),inverse(X6))) = inverse(multiply(X6,identity)),
inference(forward_demodulation,[],[f850,f831]) ).
fof(f850,plain,
! [X6,X5] : double_divide(identity,multiply(X6,identity)) = double_divide(inverse(X5),double_divide(inverse(X5),inverse(X6))),
inference(backward_demodulation,[],[f390,f831]) ).
fof(f390,plain,
! [X6,X5] : double_divide(inverse(X5),double_divide(double_divide(identity,X5),inverse(X6))) = double_divide(identity,multiply(X6,identity)),
inference(forward_demodulation,[],[f389,f387]) ).
fof(f387,plain,
! [X7] : inverse(inverse(multiply(inverse(X7),identity))) = double_divide(identity,multiply(X7,identity)),
inference(forward_demodulation,[],[f386,f342]) ).
fof(f386,plain,
! [X7] : inverse(inverse(multiply(inverse(X7),identity))) = multiply(double_divide(identity,X7),identity),
inference(forward_demodulation,[],[f385,f6]) ).
fof(f385,plain,
! [X7] : inverse(inverse(multiply(inverse(X7),identity))) = inverse(double_divide(identity,double_divide(identity,X7))),
inference(forward_demodulation,[],[f384,f3]) ).
fof(f384,plain,
! [X7] : double_divide(double_divide(identity,double_divide(identity,X7)),identity) = inverse(inverse(multiply(inverse(X7),identity))),
inference(forward_demodulation,[],[f316,f333]) ).
fof(f316,plain,
! [X7] : double_divide(double_divide(identity,double_divide(identity,X7)),identity) = double_divide(identity,double_divide(identity,inverse(X7))),
inference(backward_demodulation,[],[f282,f290]) ).
fof(f282,plain,
! [X7] : double_divide(double_divide(identity,double_divide(inverse(identity),X7)),inverse(identity)) = double_divide(inverse(identity),double_divide(identity,inverse(X7))),
inference(backward_demodulation,[],[f173,f276]) ).
fof(f389,plain,
! [X6,X5] : double_divide(inverse(X5),double_divide(double_divide(identity,X5),inverse(X6))) = inverse(inverse(multiply(inverse(X6),identity))),
inference(forward_demodulation,[],[f317,f333]) ).
fof(f317,plain,
! [X6,X5] : double_divide(inverse(X5),double_divide(double_divide(identity,X5),inverse(X6))) = double_divide(identity,double_divide(identity,inverse(X6))),
inference(backward_demodulation,[],[f283,f290]) ).
fof(f283,plain,
! [X6,X5] : double_divide(inverse(X5),double_divide(double_divide(identity,X5),inverse(X6))) = double_divide(inverse(identity),double_divide(identity,inverse(X6))),
inference(backward_demodulation,[],[f190,f276]) ).
fof(f190,plain,
! [X6,X5] : double_divide(inverse(X5),double_divide(double_divide(identity,X5),inverse(X6))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X6))),
inference(backward_demodulation,[],[f172,f173]) ).
fof(f172,plain,
! [X6,X5] : double_divide(inverse(X5),double_divide(double_divide(identity,X5),inverse(X6))) = double_divide(double_divide(identity,double_divide(inverse(identity),X6)),inverse(identity)),
inference(superposition,[],[f157,f48]) ).
fof(f4399,plain,
multiply(a4,b4) != multiply(b4,a4),
inference(trivial_inequality_removal,[],[f4398]) ).
fof(f4398,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f846,f4314]) ).
fof(f4314,plain,
! [X2,X3,X4] : multiply(multiply(X2,X3),X4) = multiply(X2,multiply(X3,X4)),
inference(superposition,[],[f4147,f1038]) ).
fof(f1038,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X0),X2),double_divide(X0,X1)) = X2,
inference(superposition,[],[f891,f6]) ).
fof(f891,plain,
! [X2,X3] : multiply(multiply(inverse(X2),X3),X2) = X3,
inference(forward_demodulation,[],[f841,f831]) ).
fof(f841,plain,
! [X2,X3] : multiply(multiply(double_divide(identity,X2),X3),X2) = X3,
inference(backward_demodulation,[],[f334,f829]) ).
fof(f4147,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,double_divide(X1,X0)))) = X2,
inference(forward_demodulation,[],[f4146,f829]) ).
fof(f4146,plain,
! [X2,X0,X1] : inverse(inverse(X2)) = multiply(X0,multiply(X1,multiply(X2,double_divide(X1,X0)))),
inference(forward_demodulation,[],[f4145,f2776]) ).
fof(f2776,plain,
! [X46,X47,X45] : multiply(multiply(X45,X46),X47) = multiply(X47,multiply(X46,X45)),
inference(superposition,[],[f1065,f2119]) ).
fof(f2119,plain,
! [X6,X7,X5] : multiply(double_divide(X6,X5),multiply(multiply(X6,X5),X7)) = X7,
inference(forward_demodulation,[],[f2067,f1311]) ).
fof(f2067,plain,
! [X6,X7,X5] : multiply(multiply(multiply(X6,X5),X7),double_divide(X6,X5)) = X7,
inference(superposition,[],[f1038,f1311]) ).
fof(f1065,plain,
! [X10,X11,X12] : multiply(multiply(double_divide(X11,X10),X12),multiply(X10,X11)) = X12,
inference(superposition,[],[f891,f872]) ).
fof(f4145,plain,
! [X2,X0,X1] : inverse(inverse(X2)) = multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)),
inference(forward_demodulation,[],[f4034,f2776]) ).
fof(f4034,plain,
! [X2,X0,X1] : inverse(inverse(X2)) = multiply(multiply(X1,multiply(double_divide(X1,X0),X2)),X0),
inference(superposition,[],[f6,f1600]) ).
fof(f1600,plain,
! [X2,X0,X1] : inverse(X2) = double_divide(X0,multiply(X1,multiply(double_divide(X1,X0),X2))),
inference(forward_demodulation,[],[f1599,f1311]) ).
fof(f1599,plain,
! [X2,X0,X1] : inverse(X2) = double_divide(X0,multiply(multiply(double_divide(X1,X0),X2),X1)),
inference(backward_demodulation,[],[f870,f1574]) ).
fof(f1574,plain,
! [X2,X3,X1] : double_divide(inverse(X3),double_divide(X1,X2)) = multiply(multiply(X2,X1),X3),
inference(superposition,[],[f1125,f6]) ).
fof(f1125,plain,
! [X10,X9] : double_divide(inverse(X9),X10) = multiply(inverse(X10),X9),
inference(superposition,[],[f891,f1029]) ).
fof(f870,plain,
! [X2,X0,X1] : inverse(X2) = double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))),
inference(backward_demodulation,[],[f861,f863]) ).
fof(f861,plain,
! [X2,X0,X1] : inverse(multiply(X2,identity)) = double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))),
inference(forward_demodulation,[],[f851,f831]) ).
fof(f851,plain,
! [X2,X0,X1] : double_divide(identity,multiply(X2,identity)) = double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))),
inference(backward_demodulation,[],[f395,f831]) ).
fof(f395,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,[],[f394,f387]) ).
fof(f394,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = inverse(inverse(multiply(inverse(X2),identity))),
inference(forward_demodulation,[],[f319,f333]) ).
fof(f319,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,[],[f285,f290]) ).
fof(f285,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(identity,inverse(X2))),
inference(backward_demodulation,[],[f195,f276]) ).
fof(f195,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,[],[f170,f173]) ).
fof(f170,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,[],[f157,f7]) ).
fof(f846,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f845]) ).
fof(f845,plain,
( a2 != a2
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f321,f829]) ).
fof(f321,plain,
( a2 != inverse(inverse(a2))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f292,plain,
( identity != identity
| a2 != inverse(inverse(a2))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f12,f290]) ).
fof(f12,plain,
( a2 != inverse(inverse(a2))
| identity != inverse(identity)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f11,f9]) ).
fof(f11,plain,
( a2 != inverse(inverse(a2))
| identity != multiply(inverse(a1),a1)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f5,f8]) ).
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.hYK8jWMROd/Vampire---4.8_2324',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 02:17:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.hYK8jWMROd/Vampire---4.8_2324
% 0.15/0.37 % (2534)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (2536)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.43 % (2539)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.43 % (2538)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.43 % (2540)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.43 % (2539)Refutation not found, incomplete strategy% (2539)------------------------------
% 0.22/0.43 % (2539)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (2539)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (2539)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (2539)Memory used [KB]: 895
% 0.22/0.43 % (2539)Time elapsed: 0.003 s
% 0.22/0.43 % (2539)------------------------------
% 0.22/0.43 % (2539)------------------------------
% 0.22/0.43 % (2535)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.44 % (2537)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.45 % (2541)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.49 % (2542)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.22/0.49 % (2542)Refutation not found, incomplete strategy% (2542)------------------------------
% 0.22/0.49 % (2542)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (2542)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (2542)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49 % (2542)Memory used [KB]: 895
% 0.22/0.49 % (2542)Time elapsed: 0.002 s
% 0.22/0.49 % (2542)------------------------------
% 0.22/0.49 % (2542)------------------------------
% 0.22/0.50 % (2538)First to succeed.
% 0.22/0.50 % (2538)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.50 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.50 % (2538)------------------------------
% 0.22/0.50 % (2538)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.50 % (2538)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.50 % (2538)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (2538)Memory used [KB]: 2558
% 0.22/0.50 % (2538)Time elapsed: 0.070 s
% 0.22/0.50 % (2538)------------------------------
% 0.22/0.50 % (2538)------------------------------
% 0.22/0.50 % (2534)Success in time 0.128 s
% 0.22/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------