TSTP Solution File: GRP101-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP101-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : Wed May 31 12:10:13 EDT 2023
% Result : Unsatisfiable 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 9
% Syntax : Number of formulae : 167 ( 148 unt; 0 def)
% Number of atoms : 192 ( 163 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 283 (; 283 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = double_divide(double_divide(Y,X),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = identity ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(inverse(a1),a1) != identity
| spl0_0 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_1
<=> multiply(identity,a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(identity,a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f19,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f22,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f10,f11,f14,f17,f20]) ).
fof(f24,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f25,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f24]) ).
fof(f26,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f28,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f26]) ).
fof(f33,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f25]) ).
fof(f34,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f33]) ).
fof(f35,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f8,f25]) ).
fof(f36,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f26,f25]) ).
fof(f38,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f28,f28]) ).
fof(f39,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f42,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f28,f9]) ).
fof(f71,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(multiply(identity,X2),X0)),multiply(identity,inverse(X2)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f38,f25]) ).
fof(f73,plain,
! [X0] : identity = double_divide(multiply(identity,X0),multiply(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f38,f9]) ).
fof(f92,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f28,f73]) ).
fof(f147,plain,
! [X0] : double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f34]) ).
fof(f148,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f147]) ).
fof(f149,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f28,f148]) ).
fof(f162,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),inverse(double_divide(inverse(X2),double_divide(inverse(X1),inverse(X2)))))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f34,f25]) ).
fof(f163,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(inverse(X1),inverse(X2)),inverse(X2)))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f162]) ).
fof(f210,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),
inference(paramodulation,[status(thm)],[f35,f35]) ).
fof(f212,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(inverse(X1),double_divide(inverse(X0),inverse(X1))),
inference(paramodulation,[status(thm)],[f34,f35]) ).
fof(f249,plain,
! [X0,X1] : double_divide(multiply(identity,multiply(X0,X1)),inverse(identity)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f26,f149]) ).
fof(f250,plain,
! [X0] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f149,f35]) ).
fof(f263,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(inverse(X1),double_divide(inverse(X0),inverse(X1))),
inference(backward_demodulation,[status(thm)],[f250,f212]) ).
fof(f266,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),
inference(backward_demodulation,[status(thm)],[f250,f210]) ).
fof(f297,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),inverse(X1)),inverse(X1)) = inverse(multiply(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f263,f26]) ).
fof(f298,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),inverse(X1)),inverse(X1)) = multiply(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f38,f297]) ).
fof(f299,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),inverse(X1)),inverse(X1)) = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f28,f298]) ).
fof(f307,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(identity,multiply(identity,X1)))),inverse(identity)) = X0,
inference(backward_demodulation,[status(thm)],[f299,f163]) ).
fof(f311,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,double_divide(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f9,f266]) ).
fof(f338,plain,
multiply(identity,inverse(identity)) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f9,f311]) ).
fof(f339,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f338]) ).
fof(f400,plain,
double_divide(multiply(identity,inverse(identity)),inverse(identity)) = multiply(identity,inverse(identity)),
inference(paramodulation,[status(thm)],[f311,f250]) ).
fof(f401,plain,
identity = multiply(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f149,f400]) ).
fof(f402,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f339,f401]) ).
fof(f403,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),inverse(identity)) = multiply(identity,inverse(double_divide(X0,inverse(identity)))),
inference(paramodulation,[status(thm)],[f266,f250]) ).
fof(f404,plain,
! [X0] : X0 = multiply(identity,inverse(double_divide(X0,inverse(identity)))),
inference(forward_demodulation,[status(thm)],[f149,f403]) ).
fof(f405,plain,
! [X0] : X0 = multiply(identity,multiply(inverse(identity),X0)),
inference(forward_demodulation,[status(thm)],[f26,f404]) ).
fof(f406,plain,
! [X0] : X0 = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f402,f405]) ).
fof(f411,plain,
! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = multiply(identity,inverse(multiply(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f149,f250]) ).
fof(f412,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = multiply(identity,inverse(multiply(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f402,f411]) ).
fof(f413,plain,
! [X0] : inverse(double_divide(identity,X0)) = multiply(identity,inverse(multiply(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f8,f412]) ).
fof(f414,plain,
! [X0] : multiply(X0,identity) = multiply(identity,inverse(multiply(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f26,f413]) ).
fof(f415,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(identity,inverse(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f38,f414]) ).
fof(f416,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f406,f415]) ).
fof(f417,plain,
! [X0] : multiply(X0,identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f28,f416]) ).
fof(f432,plain,
! [X0] : multiply(identity,inverse(double_divide(identity,double_divide(X0,inverse(identity))))) = double_divide(identity,double_divide(multiply(identity,inverse(X0)),inverse(identity))),
inference(paramodulation,[status(thm)],[f250,f266]) ).
fof(f433,plain,
! [X0] : multiply(identity,multiply(double_divide(X0,inverse(identity)),identity)) = double_divide(identity,double_divide(multiply(identity,inverse(X0)),inverse(identity))),
inference(forward_demodulation,[status(thm)],[f26,f432]) ).
fof(f434,plain,
! [X0] : multiply(identity,multiply(identity,double_divide(X0,inverse(identity)))) = double_divide(identity,double_divide(multiply(identity,inverse(X0)),inverse(identity))),
inference(forward_demodulation,[status(thm)],[f417,f433]) ).
fof(f435,plain,
! [X0] : double_divide(X0,inverse(identity)) = double_divide(identity,double_divide(multiply(identity,inverse(X0)),inverse(identity))),
inference(forward_demodulation,[status(thm)],[f406,f434]) ).
fof(f436,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(multiply(identity,inverse(X0)),inverse(identity))),
inference(forward_demodulation,[status(thm)],[f402,f435]) ).
fof(f437,plain,
! [X0] : inverse(X0) = double_divide(identity,double_divide(multiply(identity,inverse(X0)),inverse(identity))),
inference(forward_demodulation,[status(thm)],[f8,f436]) ).
fof(f438,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f149,f437]) ).
fof(f505,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(identity,multiply(identity,X1)))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f402,f307]) ).
fof(f506,plain,
! [X0,X1] : inverse(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(identity,multiply(identity,X1))))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f505]) ).
fof(f507,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),multiply(identity,multiply(identity,X1))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f506]) ).
fof(f508,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X1),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f406,f507]) ).
fof(f509,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X1),identity) = X0,
inference(forward_demodulation,[status(thm)],[f402,f508]) ).
fof(f510,plain,
! [X0,X1] : multiply(identity,double_divide(double_divide(X0,X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f417,f509]) ).
fof(f511,plain,
! [X0,X1] : inverse(multiply(X0,double_divide(X1,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f39,f510]) ).
fof(f524,plain,
! [X0,X1] : double_divide(multiply(identity,multiply(X0,X1)),identity) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f402,f249]) ).
fof(f525,plain,
! [X0,X1] : inverse(multiply(identity,multiply(X0,X1))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f524]) ).
fof(f526,plain,
! [X0,X1] : multiply(identity,inverse(multiply(X0,X1))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f38,f525]) ).
fof(f599,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(multiply(identity,X2),X0)),multiply(identity,inverse(X2)))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f402,f71]) ).
fof(f600,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(multiply(identity,X2),X0)),multiply(identity,inverse(X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f599]) ).
fof(f601,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(multiply(identity,X1),X2)),multiply(identity,inverse(X1))),X2) = X0,
inference(forward_demodulation,[status(thm)],[f26,f600]) ).
fof(f605,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f402,f36]) ).
fof(f606,plain,
! [X0,X1,X2,X3] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f605]) ).
fof(f607,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,double_divide(double_divide(X1,X2),X3)),multiply(X2,X1)),X3) = X0,
inference(forward_demodulation,[status(thm)],[f26,f606]) ).
fof(f616,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),X0),
inference(backward_demodulation,[status(thm)],[f406,f92]) ).
fof(f678,plain,
! [X0] : multiply(X0,multiply(identity,inverse(X0))) = inverse(identity),
inference(paramodulation,[status(thm)],[f616,f26]) ).
fof(f679,plain,
! [X0] : multiply(X0,multiply(identity,inverse(X0))) = identity,
inference(forward_demodulation,[status(thm)],[f402,f678]) ).
fof(f682,plain,
! [X0] : multiply(multiply(identity,X0),multiply(identity,multiply(identity,inverse(X0)))) = identity,
inference(paramodulation,[status(thm)],[f38,f679]) ).
fof(f683,plain,
! [X0] : multiply(multiply(identity,X0),inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f406,f682]) ).
fof(f684,plain,
! [X0] : multiply(inverse(X0),multiply(identity,multiply(identity,X0))) = identity,
inference(paramodulation,[status(thm)],[f28,f679]) ).
fof(f685,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(forward_demodulation,[status(thm)],[f406,f684]) ).
fof(f707,plain,
! [X0,X1] : multiply(multiply(X0,X1),double_divide(X1,X0)) = identity,
inference(paramodulation,[status(thm)],[f26,f685]) ).
fof(f810,plain,
! [X0,X1,X2] : multiply(double_divide(identity,multiply(X0,X1)),X2) = multiply(identity,inverse(double_divide(double_divide(X1,X0),X2))),
inference(paramodulation,[status(thm)],[f616,f607]) ).
fof(f811,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X2) = multiply(identity,inverse(double_divide(double_divide(X1,X0),X2))),
inference(forward_demodulation,[status(thm)],[f438,f810]) ).
fof(f812,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X2) = multiply(identity,multiply(X2,double_divide(X1,X0))),
inference(forward_demodulation,[status(thm)],[f26,f811]) ).
fof(f824,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(identity,X1)),multiply(multiply(identity,X2),inverse(X2))),X1) = X0,
inference(paramodulation,[status(thm)],[f42,f607]) ).
fof(f825,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,inverse(X1)),multiply(multiply(identity,X2),inverse(X2))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f438,f824]) ).
fof(f826,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),identity),X1) = X0,
inference(forward_demodulation,[status(thm)],[f683,f825]) ).
fof(f827,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,inverse(X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f826]) ).
fof(f828,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f26,f827]) ).
fof(f850,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(double_divide(X3,X4),X1)),multiply(X4,X3))),X5)),X2),X5) = X0,
inference(paramodulation,[status(thm)],[f607,f607]) ).
fof(f877,plain,
! [X0,X1,X2,X3] : multiply(identity,inverse(X0)) = double_divide(X1,double_divide(double_divide(X0,double_divide(double_divide(X2,X3),X1)),multiply(X3,X2))),
inference(paramodulation,[status(thm)],[f607,f526]) ).
fof(f883,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(multiply(identity,inverse(X1)),X2)),X1),X2) = X0,
inference(backward_demodulation,[status(thm)],[f877,f850]) ).
fof(f925,plain,
! [X0,X1] : multiply(identity,multiply(X0,double_divide(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f511,f28]) ).
fof(f926,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f812,f925]) ).
fof(f1111,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f685,f828]) ).
fof(f1122,plain,
! [X0,X1] : multiply(multiply(multiply(identity,X0),X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f28,f828]) ).
fof(f1123,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1111,f1122]) ).
fof(f1126,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f828,f526]) ).
fof(f1127,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f1111,f1126]) ).
fof(f1128,plain,
! [X0,X1] : multiply(X0,double_divide(X1,multiply(inverse(X1),X0))) = identity,
inference(paramodulation,[status(thm)],[f828,f707]) ).
fof(f1129,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f1127,f1128]) ).
fof(f1132,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1111,f39]) ).
fof(f1146,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X2) = multiply(X2,double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1111,f812]) ).
fof(f1147,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = multiply(X2,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1132,f1146]) ).
fof(f1164,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(inverse(X1),X2)),X1),X2) = X0,
inference(backward_demodulation,[status(thm)],[f1111,f883]) ).
fof(f1165,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,double_divide(inverse(X2),X0)),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f1147,f1164]) ).
fof(f1185,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(multiply(identity,X1),X2)),inverse(X1)),X2) = X0,
inference(backward_demodulation,[status(thm)],[f1111,f601]) ).
fof(f1186,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,double_divide(multiply(identity,X2),X0)),inverse(X2))) = X1,
inference(forward_demodulation,[status(thm)],[f1147,f1185]) ).
fof(f1187,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))) = X1,
inference(forward_demodulation,[status(thm)],[f1111,f1186]) ).
fof(f1218,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f1132,f926]) ).
fof(f1219,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1147,f1218]) ).
fof(f1272,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1129,f828]) ).
fof(f1273,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1111,f1272]) ).
fof(f1376,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f1123,f1123]) ).
fof(f1377,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1132,f1376]) ).
fof(f1425,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f1219,f828]) ).
fof(f1426,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1219,f1132]) ).
fof(f1427,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f1273,f1426]) ).
fof(f1493,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f1377,f1132]) ).
fof(f1494,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f1273,f1493]) ).
fof(f1495,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f1377,f1123]) ).
fof(f1496,plain,
! [X0,X1] : double_divide(X0,inverse(inverse(X1))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f1425,f1495]) ).
fof(f1497,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f1273,f1496]) ).
fof(f1522,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f1494,f1219]) ).
fof(f1523,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f26,f1522]) ).
fof(f1530,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f1523]) ).
fof(f1531,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f1530]) ).
fof(f1532,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f1523,f19]) ).
fof(f1655,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(double_divide(inverse(X2),X0),X1),
inference(paramodulation,[status(thm)],[f1494,f1165]) ).
fof(f1656,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,double_divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f1427,f1165]) ).
fof(f1660,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(double_divide(inverse(X1),X0),X2),X1)) = X2,
inference(paramodulation,[status(thm)],[f1497,f1165]) ).
fof(f1661,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,double_divide(double_divide(inverse(X1),X0),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f1497,f1660]) ).
fof(f1662,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X0,double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f1655,f1661]) ).
fof(f1705,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = double_divide(double_divide(X0,double_divide(inverse(X2),X1)),X2),
inference(paramodulation,[status(thm)],[f1165,f1123]) ).
fof(f1706,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = double_divide(X2,double_divide(X0,double_divide(inverse(X2),X1))),
inference(forward_demodulation,[status(thm)],[f1497,f1705]) ).
fof(f1707,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = double_divide(X2,multiply(X1,double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f1656,f1706]) ).
fof(f1726,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(backward_demodulation,[status(thm)],[f1707,f1662]) ).
fof(f1789,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
inference(paramodulation,[status(thm)],[f26,f1726]) ).
fof(f2036,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(paramodulation,[status(thm)],[f26,f1425]) ).
fof(f2087,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(backward_demodulation,[status(thm)],[f2036,f1187]) ).
fof(f2088,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(double_divide(X1,X0),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f1523,f2087]) ).
fof(f2958,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f1789,f2088]) ).
fof(f3073,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f1532,f2958]) ).
fof(f3074,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f3073]) ).
fof(f3080,plain,
( double_divide(a1,inverse(a1)) != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1425,f13]) ).
fof(f3081,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f3080]) ).
fof(f3082,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f3081]) ).
fof(f3083,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f3082]) ).
fof(f3085,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1111,f16]) ).
fof(f3086,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f3085]) ).
fof(f3087,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f3086]) ).
fof(f3088,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f1531,f3074,f3083,f3087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP101-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:42:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.42 % Refutation found
% 0.19/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.44 % Elapsed time: 0.097997 seconds
% 0.19/0.44 % CPU time: 0.627083 seconds
% 0.19/0.44 % Memory used: 34.483 MB
%------------------------------------------------------------------------------