TSTP Solution File: GRP103-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : Wed May 31 12:10:13 EDT 2023
% Result : Unsatisfiable 3.75s 0.84s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 9
% Syntax : Number of formulae : 165 ( 146 unt; 0 def)
% Number of atoms : 190 ( 161 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 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 : 282 (; 282 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = double_divide(double_divide(Y,X),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
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] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f8,f7]) ).
fof(f25,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f24]) ).
fof(f26,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f24]) ).
fof(f27,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f24,f9]) ).
fof(f29,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f31,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f29]) ).
fof(f32,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))),inverse(identity)) = X3,
inference(paramodulation,[status(thm)],[f29,f29]) ).
fof(f33,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f29]) ).
fof(f34,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f33]) ).
fof(f35,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f29]) ).
fof(f37,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f38,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f40,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f26,f9]) ).
fof(f164,plain,
! [X0,X1,X2] : double_divide(double_divide(multiply(X0,X1),double_divide(double_divide(identity,double_divide(X1,X0)),inverse(X2))),inverse(identity)) = X2,
inference(paramodulation,[status(thm)],[f24,f34]) ).
fof(f175,plain,
! [X0] : double_divide(double_divide(inverse(X0),identity),inverse(identity)) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f9,f34]) ).
fof(f176,plain,
! [X0] : double_divide(inverse(inverse(X0)),inverse(identity)) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f175]) ).
fof(f177,plain,
! [X0] : double_divide(multiply(identity,X0),inverse(identity)) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f26,f176]) ).
fof(f248,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f35]) ).
fof(f249,plain,
! [X0] : double_divide(double_divide(identity,inverse(double_divide(identity,X0))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f248]) ).
fof(f250,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f24,f249]) ).
fof(f299,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f25,f250]) ).
fof(f300,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f299]) ).
fof(f301,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f300]) ).
fof(f313,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(backward_demodulation,[status(thm)],[f301,f250]) ).
fof(f314,plain,
! [X0] : inverse(double_divide(identity,multiply(X0,identity))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f313]) ).
fof(f315,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f24,f314]) ).
fof(f316,plain,
! [X0] : double_divide(multiply(identity,X0),identity) = double_divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f301,f177]) ).
fof(f317,plain,
! [X0] : inverse(multiply(identity,X0)) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f316]) ).
fof(f318,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f37,f317]) ).
fof(f321,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f301,f35]) ).
fof(f322,plain,
! [X0,X1] : inverse(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0))))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f321]) ).
fof(f323,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0))),identity) = X1,
inference(forward_demodulation,[status(thm)],[f24,f322]) ).
fof(f324,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))),identity) = X3,
inference(backward_demodulation,[status(thm)],[f301,f32]) ).
fof(f325,plain,
! [X0,X1,X2,X3] : inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f8,f324]) ).
fof(f326,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2)),inverse(identity)) = X3,
inference(forward_demodulation,[status(thm)],[f24,f325]) ).
fof(f327,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2)),identity) = X3,
inference(forward_demodulation,[status(thm)],[f301,f326]) ).
fof(f328,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f301,f34]) ).
fof(f329,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f328]) ).
fof(f330,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),inverse(X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f24,f329]) ).
fof(f332,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f301,f31]) ).
fof(f333,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0))))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f332]) ).
fof(f334,plain,
! [X0,X1] : multiply(double_divide(inverse(identity),double_divide(X0,double_divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f24,f333]) ).
fof(f335,plain,
! [X0,X1] : multiply(double_divide(identity,double_divide(X0,double_divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f301,f334]) ).
fof(f342,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f301,f29]) ).
fof(f343,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f342]) ).
fof(f344,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f24,f343]) ).
fof(f345,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(backward_demodulation,[status(thm)],[f301,f25]) ).
fof(f399,plain,
! [X0] : identity = double_divide(double_divide(identity,multiply(X0,identity)),X0),
inference(paramodulation,[status(thm)],[f315,f27]) ).
fof(f402,plain,
! [X0] : double_divide(identity,X0) = inverse(multiply(identity,X0)),
inference(backward_demodulation,[status(thm)],[f318,f37]) ).
fof(f460,plain,
! [X0] : double_divide(identity,inverse(X0)) = inverse(double_divide(identity,X0)),
inference(paramodulation,[status(thm)],[f318,f402]) ).
fof(f461,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f24,f460]) ).
fof(f466,plain,
! [X0] : multiply(identity,double_divide(identity,X0)) = double_divide(identity,multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f402,f318]) ).
fof(f467,plain,
! [X0] : inverse(multiply(X0,identity)) = double_divide(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f38,f466]) ).
fof(f479,plain,
! [X0,X1] : double_divide(identity,multiply(X0,X1)) = multiply(double_divide(X1,X0),identity),
inference(paramodulation,[status(thm)],[f24,f461]) ).
fof(f488,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(multiply(X0,identity)),
inference(paramodulation,[status(thm)],[f461,f24]) ).
fof(f534,plain,
! [X0] : multiply(double_divide(double_divide(identity,X0),identity),identity) = double_divide(identity,multiply(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f399,f323]) ).
fof(f535,plain,
! [X0] : multiply(inverse(double_divide(identity,X0)),identity) = double_divide(identity,multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f8,f534]) ).
fof(f536,plain,
! [X0] : multiply(multiply(X0,identity),identity) = double_divide(identity,multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f24,f535]) ).
fof(f537,plain,
! [X0] : X0 = double_divide(identity,multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f315,f536]) ).
fof(f555,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(identity,multiply(multiply(X1,X0),identity)),
inference(paramodulation,[status(thm)],[f24,f537]) ).
fof(f801,plain,
! [X0] : multiply(double_divide(double_divide(identity,X0),identity),inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f301,f330]) ).
fof(f802,plain,
! [X0] : multiply(inverse(double_divide(identity,X0)),inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f801]) ).
fof(f803,plain,
! [X0] : multiply(multiply(X0,identity),inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f24,f802]) ).
fof(f853,plain,
! [X0] : multiply(X0,inverse(multiply(X0,identity))) = identity,
inference(paramodulation,[status(thm)],[f315,f803]) ).
fof(f854,plain,
! [X0] : multiply(X0,multiply(inverse(X0),identity)) = identity,
inference(forward_demodulation,[status(thm)],[f488,f853]) ).
fof(f991,plain,
! [X0] : multiply(inverse(X0),identity) = double_divide(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f488,f467]) ).
fof(f1048,plain,
! [X0,X1,X2,X3] : double_divide(identity,multiply(double_divide(X0,X1),double_divide(identity,double_divide(X2,double_divide(double_divide(identity,X3),double_divide(X1,double_divide(X3,X2))))))) = X0,
inference(backward_demodulation,[status(thm)],[f479,f327]) ).
fof(f1289,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = double_divide(identity,multiply(identity,identity)),
inference(paramodulation,[status(thm)],[f854,f555]) ).
fof(f1290,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = multiply(inverse(identity),identity),
inference(forward_demodulation,[status(thm)],[f991,f1289]) ).
fof(f1291,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = identity,
inference(forward_demodulation,[status(thm)],[f345,f1290]) ).
fof(f1381,plain,
! [X0] : multiply(double_divide(identity,identity),X0) = multiply(inverse(double_divide(identity,X0)),identity),
inference(paramodulation,[status(thm)],[f1291,f335]) ).
fof(f1382,plain,
! [X0] : multiply(inverse(identity),X0) = multiply(inverse(double_divide(identity,X0)),identity),
inference(forward_demodulation,[status(thm)],[f8,f1381]) ).
fof(f1383,plain,
! [X0] : multiply(identity,X0) = multiply(inverse(double_divide(identity,X0)),identity),
inference(forward_demodulation,[status(thm)],[f301,f1382]) ).
fof(f1384,plain,
! [X0] : multiply(identity,X0) = multiply(multiply(X0,identity),identity),
inference(forward_demodulation,[status(thm)],[f24,f1383]) ).
fof(f1385,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f315,f1384]) ).
fof(f1399,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,multiply(inverse(X0),identity)),double_divide(X1,identity)),X0) = X1,
inference(paramodulation,[status(thm)],[f1291,f344]) ).
fof(f1400,plain,
! [X0,X1] : multiply(double_divide(X0,double_divide(X1,identity)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f537,f1399]) ).
fof(f1401,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f1400]) ).
fof(f1411,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1385,f38]) ).
fof(f1412,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f1385,f318]) ).
fof(f1418,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f1385,f40]) ).
fof(f1419,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1385,f26]) ).
fof(f1468,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,double_divide(identity,X1))),X1) = X0,
inference(backward_demodulation,[status(thm)],[f1412,f335]) ).
fof(f1469,plain,
! [X0,X1] : multiply(multiply(double_divide(identity,X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f24,f1468]) ).
fof(f1470,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f1412,f1469]) ).
fof(f1484,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f1412,f344]) ).
fof(f1532,plain,
! [X0,X1,X2,X3] : inverse(multiply(double_divide(X0,X1),double_divide(identity,double_divide(X2,double_divide(double_divide(identity,X3),double_divide(X1,double_divide(X3,X2))))))) = X0,
inference(forward_demodulation,[status(thm)],[f1412,f1048]) ).
fof(f1533,plain,
! [X0,X1,X2,X3] : inverse(multiply(double_divide(X0,X1),inverse(double_divide(X2,double_divide(double_divide(identity,X3),double_divide(X1,double_divide(X3,X2))))))) = X0,
inference(forward_demodulation,[status(thm)],[f1412,f1532]) ).
fof(f1534,plain,
! [X0,X1,X2,X3] : inverse(multiply(double_divide(X0,X1),multiply(double_divide(double_divide(identity,X2),double_divide(X1,double_divide(X2,X3))),X3))) = X0,
inference(forward_demodulation,[status(thm)],[f24,f1533]) ).
fof(f1535,plain,
! [X0,X1,X2,X3] : inverse(multiply(double_divide(X0,X1),multiply(double_divide(inverse(X2),double_divide(X1,double_divide(X2,X3))),X3))) = X0,
inference(forward_demodulation,[status(thm)],[f1412,f1534]) ).
fof(f1536,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f1484,f1535]) ).
fof(f1548,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f1536,f1419]) ).
fof(f1570,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),identity),X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f1418,f1484]) ).
fof(f1571,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = inverse(double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f8,f1570]) ).
fof(f1572,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1419,f1571]) ).
fof(f1573,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f24,f1572]) ).
fof(f1596,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0)) = X2,
inference(paramodulation,[status(thm)],[f24,f1470]) ).
fof(f1694,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f1573]) ).
fof(f1695,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f1694]) ).
fof(f1699,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f1470,f1573]) ).
fof(f1718,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f1573,f1470]) ).
fof(f1719,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f1573,f1718]) ).
fof(f1744,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f1573,f19]) ).
fof(f1745,plain,
! [X0,X1] : multiply(X0,double_divide(X0,inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f1573,f1401]) ).
fof(f1759,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f1745,f1470]) ).
fof(f1780,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f1573,f1411]) ).
fof(f1781,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f1411,f1780]) ).
fof(f1793,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(X0,X1),X2),multiply(X1,X0)) = X2,
inference(paramodulation,[status(thm)],[f1411,f1470]) ).
fof(f1794,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f1573,f1793]) ).
fof(f1924,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1573,f1548]) ).
fof(f1941,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f1924,f1470]) ).
fof(f2019,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f1924,f1699]) ).
fof(f2063,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
inference(paramodulation,[status(thm)],[f24,f1719]) ).
fof(f2734,plain,
! [X0,X1,X2] : double_divide(inverse(identity),double_divide(multiply(X0,X1),double_divide(double_divide(identity,double_divide(X1,X0)),inverse(X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f1781,f164]) ).
fof(f2735,plain,
! [X0,X1,X2] : double_divide(identity,double_divide(multiply(X0,X1),double_divide(double_divide(identity,double_divide(X1,X0)),inverse(X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f301,f2734]) ).
fof(f2736,plain,
! [X0,X1,X2] : inverse(double_divide(multiply(X0,X1),double_divide(double_divide(identity,double_divide(X1,X0)),inverse(X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f1412,f2735]) ).
fof(f2737,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X2)),multiply(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f24,f2736]) ).
fof(f2738,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(double_divide(identity,double_divide(X1,X0)),inverse(X2))) = X2,
inference(forward_demodulation,[status(thm)],[f1573,f2737]) ).
fof(f2739,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(inverse(double_divide(X1,X0)),inverse(X2))) = X2,
inference(forward_demodulation,[status(thm)],[f1412,f2738]) ).
fof(f2740,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,double_divide(X1,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f1759,f2739]) ).
fof(f2784,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,double_divide(X0,X1))) = X2,
inference(paramodulation,[status(thm)],[f1573,f2740]) ).
fof(f3285,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X1,X0),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f1573,f1596]) ).
fof(f3298,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(multiply(inverse(X0),inverse(X1)),X2)) = X2,
inference(paramodulation,[status(thm)],[f1759,f3285]) ).
fof(f3299,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(double_divide(X0,inverse(inverse(X1))),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f1941,f3298]) ).
fof(f3300,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(double_divide(X0,X1),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f1419,f3299]) ).
fof(f3788,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X0) = X2,
inference(paramodulation,[status(thm)],[f1484,f1794]) ).
fof(f3789,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X0,double_divide(X1,X2)),inverse(X1))) = X2,
inference(forward_demodulation,[status(thm)],[f1573,f3788]) ).
fof(f3790,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,inverse(double_divide(X0,double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[status(thm)],[f2019,f3789]) ).
fof(f3791,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(double_divide(X1,X2),X0))) = X2,
inference(forward_demodulation,[status(thm)],[f24,f3790]) ).
fof(f5122,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,X2)),double_divide(X2,X0)) = X1,
inference(paramodulation,[status(thm)],[f2063,f3791]) ).
fof(f5123,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f1573,f5122]) ).
fof(f5193,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(double_divide(X0,X1),X2)),X1) = X2,
inference(paramodulation,[status(thm)],[f3791,f2784]) ).
fof(f5194,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(double_divide(X1,X0),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f1573,f5193]) ).
fof(f8930,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f5123,f3300]) ).
fof(f9446,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f3285,f5194]) ).
fof(f23369,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f8930,f9446]) ).
fof(f23370,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f1744,f23369]) ).
fof(f23371,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f23370]) ).
fof(f24044,plain,
( double_divide(a1,inverse(a1)) != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1941,f13]) ).
fof(f24045,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f24044]) ).
fof(f24046,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f24045]) ).
fof(f24047,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f24046]) ).
fof(f24049,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1385,f16]) ).
fof(f24050,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f24049]) ).
fof(f24051,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f24050]) ).
fof(f24052,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f1695,f23371,f24047,f24051]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n024.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:34:18 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 3.75/0.84 % Refutation found
% 3.75/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.75/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.75/0.87 % Elapsed time: 0.545045 seconds
% 3.75/0.87 % CPU time: 3.906632 seconds
% 3.75/0.87 % Memory used: 87.548 MB
%------------------------------------------------------------------------------