TSTP Solution File: GRP654+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP654+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 11:19:44 EST 2010
% Result : Theorem 90.78s
% Output : CNFRefutation 90.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 6
% Syntax : Number of formulae : 139 ( 132 unt; 0 def)
% Number of atoms : 146 ( 142 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 5 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 299 ( 0 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] : mult(X3,mult(X2,mult(X3,X1))) = mult(mult(mult(X3,X2),X3),X1),
file('/tmp/tmpZHpxOH/sel_GRP654+3.p_2',f05) ).
fof(2,axiom,
! [X2,X3] : rd(mult(X3,X2),X2) = X3,
file('/tmp/tmpZHpxOH/sel_GRP654+3.p_2',f04) ).
fof(3,axiom,
! [X2,X3] : mult(X3,ld(X3,X2)) = X2,
file('/tmp/tmpZHpxOH/sel_GRP654+3.p_2',f01) ).
fof(4,conjecture,
! [X4,X5] :
( mult(X4,ld(X5,X5)) = X4
& mult(ld(X5,X5),X4) = X4 ),
file('/tmp/tmpZHpxOH/sel_GRP654+3.p_2',goals) ).
fof(5,axiom,
! [X2,X3] : mult(rd(X3,X2),X2) = X3,
file('/tmp/tmpZHpxOH/sel_GRP654+3.p_2',f03) ).
fof(6,axiom,
! [X2,X3] : ld(X3,mult(X3,X2)) = X2,
file('/tmp/tmpZHpxOH/sel_GRP654+3.p_2',f02) ).
fof(7,negated_conjecture,
~ ! [X4,X5] :
( mult(X4,ld(X5,X5)) = X4
& mult(ld(X5,X5),X4) = X4 ),
inference(assume_negation,[status(cth)],[4]) ).
fof(8,plain,
! [X4,X5,X6] : mult(X6,mult(X5,mult(X6,X4))) = mult(mult(mult(X6,X5),X6),X4),
inference(variable_rename,[status(thm)],[1]) ).
cnf(9,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
inference(split_conjunct,[status(thm)],[8]) ).
fof(10,plain,
! [X4,X5] : rd(mult(X5,X4),X4) = X5,
inference(variable_rename,[status(thm)],[2]) ).
cnf(11,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[10]) ).
fof(12,plain,
! [X4,X5] : mult(X5,ld(X5,X4)) = X4,
inference(variable_rename,[status(thm)],[3]) ).
cnf(13,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[12]) ).
fof(14,negated_conjecture,
? [X4,X5] :
( mult(X4,ld(X5,X5)) != X4
| mult(ld(X5,X5),X4) != X4 ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(15,negated_conjecture,
? [X6,X7] :
( mult(X6,ld(X7,X7)) != X6
| mult(ld(X7,X7),X6) != X6 ),
inference(variable_rename,[status(thm)],[14]) ).
fof(16,negated_conjecture,
( mult(esk1_0,ld(esk2_0,esk2_0)) != esk1_0
| mult(ld(esk2_0,esk2_0),esk1_0) != esk1_0 ),
inference(skolemize,[status(esa)],[15]) ).
cnf(17,negated_conjecture,
( mult(ld(esk2_0,esk2_0),esk1_0) != esk1_0
| mult(esk1_0,ld(esk2_0,esk2_0)) != esk1_0 ),
inference(split_conjunct,[status(thm)],[16]) ).
fof(18,plain,
! [X4,X5] : mult(rd(X5,X4),X4) = X5,
inference(variable_rename,[status(thm)],[5]) ).
cnf(19,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,plain,
! [X4,X5] : ld(X5,mult(X5,X4)) = X4,
inference(variable_rename,[status(thm)],[6]) ).
cnf(21,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[20]) ).
cnf(22,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[21,19,theory(equality)]) ).
cnf(23,plain,
rd(X2,ld(X1,X2)) = X1,
inference(spm,[status(thm)],[11,13,theory(equality)]) ).
cnf(24,plain,
mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))) = X3,
inference(spm,[status(thm)],[13,9,theory(equality)]) ).
cnf(25,plain,
mult(mult(X2,X1),X3) = mult(X1,mult(ld(X1,X2),mult(X1,X3))),
inference(spm,[status(thm)],[9,13,theory(equality)]) ).
cnf(28,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[11,9,theory(equality)]) ).
cnf(30,plain,
mult(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),X3) = mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[9,9,theory(equality)]) ).
cnf(41,plain,
ld(X1,X3) = mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3))),
inference(spm,[status(thm)],[21,24,theory(equality)]) ).
cnf(56,plain,
mult(X1,mult(ld(X1,X2),X3)) = mult(mult(X2,X1),ld(X1,X3)),
inference(spm,[status(thm)],[25,13,theory(equality)]) ).
cnf(57,plain,
ld(X1,mult(mult(X2,X1),X3)) = mult(ld(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[21,25,theory(equality)]) ).
cnf(74,plain,
mult(X2,ld(ld(X1,X2),X3)) = mult(ld(X1,X2),mult(ld(ld(X1,X2),X1),X3)),
inference(spm,[status(thm)],[56,13,theory(equality)]) ).
cnf(77,plain,
mult(X1,ld(X2,X3)) = mult(X2,mult(ld(X2,rd(X1,X2)),X3)),
inference(spm,[status(thm)],[56,19,theory(equality)]) ).
cnf(95,plain,
ld(X1,X3) = mult(ld(X1,X2),mult(X1,ld(mult(X2,X1),X3))),
inference(spm,[status(thm)],[57,13,theory(equality)]) ).
cnf(116,plain,
ld(X1,ld(X2,X3)) = mult(X2,ld(mult(mult(X2,X1),X2),X3)),
inference(spm,[status(thm)],[21,41,theory(equality)]) ).
cnf(143,plain,
mult(X1,ld(mult(X2,X1),X3)) = ld(ld(X1,X2),ld(X1,X3)),
inference(spm,[status(thm)],[116,13,theory(equality)]) ).
cnf(144,plain,
ld(X1,ld(X2,ld(X1,X3))) = ld(mult(mult(X1,X2),X1),X3),
inference(spm,[status(thm)],[21,116,theory(equality)]) ).
cnf(168,plain,
ld(ld(X1,X2),X3) = mult(X1,ld(mult(X2,X1),mult(X1,X3))),
inference(spm,[status(thm)],[143,21,theory(equality)]) ).
cnf(185,plain,
rd(X1,ld(X2,ld(X3,ld(X2,X1)))) = mult(mult(X2,X3),X2),
inference(spm,[status(thm)],[23,144,theory(equality)]) ).
cnf(228,plain,
ld(X1,ld(ld(X1,X2),X3)) = ld(mult(X2,X1),mult(X1,X3)),
inference(spm,[status(thm)],[21,168,theory(equality)]) ).
cnf(261,plain,
ld(X1,mult(X2,X3)) = ld(X2,ld(ld(X2,rd(X1,X2)),X3)),
inference(spm,[status(thm)],[228,19,theory(equality)]) ).
cnf(291,plain,
mult(ld(X1,mult(mult(X2,X3),X2)),mult(X1,ld(mult(X2,mult(X3,mult(X2,X1))),X4))) = ld(X1,X4),
inference(spm,[status(thm)],[95,9,theory(equality)]) ).
cnf(358,plain,
ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,rd(X2,X1)),X3),
inference(spm,[status(thm)],[21,77,theory(equality)]) ).
cnf(542,plain,
ld(X1,X2) = mult(ld(X1,rd(X1,X1)),X2),
inference(spm,[status(thm)],[358,13,theory(equality)]) ).
cnf(545,plain,
ld(X1,X2) = mult(ld(X1,rd(rd(X2,ld(X1,X3)),X1)),X3),
inference(spm,[status(thm)],[358,19,theory(equality)]) ).
cnf(575,plain,
ld(X1,ld(ld(X1,rd(X1,X1)),X2)) = X2,
inference(spm,[status(thm)],[13,542,theory(equality)]) ).
cnf(577,plain,
rd(ld(X1,X2),X2) = ld(X1,rd(X1,X1)),
inference(spm,[status(thm)],[11,542,theory(equality)]) ).
cnf(625,plain,
mult(X1,X2) = ld(ld(X1,rd(X1,X1)),X2),
inference(spm,[status(thm)],[13,575,theory(equality)]) ).
cnf(649,plain,
rd(X1,mult(X2,X1)) = ld(X2,rd(X2,X2)),
inference(spm,[status(thm)],[23,625,theory(equality)]) ).
cnf(689,plain,
mult(X1,rd(ld(X1,X2),X2)) = rd(X1,X1),
inference(spm,[status(thm)],[13,577,theory(equality)]) ).
cnf(704,plain,
mult(rd(ld(X1,X3),X3),mult(X1,ld(mult(rd(X1,X1),X1),X2))) = ld(X1,X2),
inference(spm,[status(thm)],[95,577,theory(equality)]) ).
cnf(724,plain,
mult(rd(ld(X1,X3),X3),X2) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[704,19,theory(equality)]),13,theory(equality)]) ).
cnf(732,plain,
mult(rd(X2,mult(X1,X2)),X3) = ld(X1,X3),
inference(spm,[status(thm)],[724,21,theory(equality)]) ).
cnf(735,plain,
mult(rd(X2,X1),X3) = ld(rd(X1,X2),X3),
inference(spm,[status(thm)],[724,22,theory(equality)]) ).
cnf(1023,plain,
rd(ld(X2,X3),X3) = rd(X1,mult(X2,X1)),
inference(spm,[status(thm)],[11,732,theory(equality)]) ).
cnf(1097,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[13,735,theory(equality)]) ).
cnf(1157,plain,
mult(rd(X1,X1),ld(rd(ld(X1,X2),X2),X3)) = mult(rd(ld(X1,X2),X2),mult(ld(rd(ld(X1,X2),X2),X1),X3)),
inference(spm,[status(thm)],[56,689,theory(equality)]) ).
cnf(1193,plain,
mult(rd(X1,X1),mult(X1,X3)) = mult(rd(ld(X1,X2),X2),mult(ld(rd(ld(X1,X2),X2),X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1157,735,theory(equality)]),23,theory(equality)]) ).
cnf(1194,plain,
mult(rd(X1,X1),mult(X1,X3)) = mult(ld(X1,X1),mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1193,735,theory(equality)]),23,theory(equality)]),724,theory(equality)]),57,theory(equality)]) ).
cnf(1549,plain,
mult(mult(rd(X1,X1),mult(X2,X2)),X3) = mult(mult(rd(X1,X1),X2),mult(rd(X1,X1),mult(mult(rd(X1,X1),X2),X3))),
inference(spm,[status(thm)],[30,1097,theory(equality)]) ).
cnf(1955,plain,
rd(mult(ld(X1,X1),mult(X1,X2)),mult(X1,X2)) = rd(X1,X1),
inference(spm,[status(thm)],[11,1194,theory(equality)]) ).
cnf(2009,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[1955,11,theory(equality)]) ).
cnf(2045,plain,
mult(ld(X1,X1),X1) = X1,
inference(spm,[status(thm)],[19,2009,theory(equality)]) ).
cnf(2048,plain,
ld(ld(X1,X1),X2) = mult(rd(X1,X1),X2),
inference(spm,[status(thm)],[735,2009,theory(equality)]) ).
cnf(2051,plain,
mult(ld(X1,X1),mult(rd(X1,X1),X2)) = X2,
inference(spm,[status(thm)],[1097,2009,theory(equality)]) ).
cnf(2060,plain,
ld(ld(X1,ld(X1,X1)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[625,2009,theory(equality)]) ).
cnf(2061,plain,
mult(ld(X1,ld(X1,X1)),X2) = ld(X1,X2),
inference(rw,[status(thm)],[542,2009,theory(equality)]) ).
cnf(2062,plain,
rd(X1,mult(X2,X1)) = ld(X2,ld(X2,X2)),
inference(rw,[status(thm)],[649,2009,theory(equality)]) ).
cnf(2065,plain,
ld(ld(X1,X1),X2) = mult(ld(X1,X1),X2),
inference(rw,[status(thm)],[2048,2009,theory(equality)]) ).
cnf(2069,plain,
mult(ld(X1,X1),mult(ld(X1,X1),X2)) = X2,
inference(rw,[status(thm)],[2051,2009,theory(equality)]) ).
cnf(2078,plain,
mult(mult(X1,ld(mult(X2,X1),X2)),ld(X1,X2)) = ld(X1,X2),
inference(spm,[status(thm)],[2045,143,theory(equality)]) ).
cnf(2242,plain,
mult(ld(X1,X1),ld(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(spm,[status(thm)],[143,2065,theory(equality)]) ).
cnf(2310,plain,
rd(mult(ld(X1,ld(X1,X1)),mult(X2,ld(X1,X3))),X3) = mult(mult(ld(X1,ld(X1,X1)),X2),ld(X1,ld(X1,X1))),
inference(spm,[status(thm)],[28,2061,theory(equality)]) ).
cnf(2359,plain,
ld(X1,rd(X2,X1)) = mult(mult(ld(X1,ld(X1,X1)),X2),ld(X1,ld(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2310,2061,theory(equality)]),358,theory(equality)]),11,theory(equality)]) ).
cnf(2360,plain,
ld(X1,rd(X2,X1)) = mult(ld(X1,X2),ld(X1,ld(X1,X1))),
inference(rw,[status(thm)],[2359,2061,theory(equality)]) ).
cnf(2527,plain,
rd(X2,mult(ld(X1,ld(X1,X1)),X2)) = mult(X1,ld(ld(X1,ld(X1,X1)),ld(X1,ld(X1,X1)))),
inference(spm,[status(thm)],[2060,2062,theory(equality)]) ).
cnf(2528,plain,
rd(X1,mult(ld(X2,ld(X2,X2)),X1)) = ld(ld(X2,ld(X2,X2)),mult(X2,ld(X2,ld(X2,X2)))),
inference(spm,[status(thm)],[2062,2060,theory(equality)]) ).
cnf(2580,plain,
X1 = mult(X1,ld(ld(X1,ld(X1,X1)),ld(X1,ld(X1,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2527,2061,theory(equality)]),23,theory(equality)]) ).
cnf(2581,plain,
X1 = mult(X1,mult(X1,ld(X1,ld(X1,X1)))),
inference(rw,[status(thm)],[2580,2060,theory(equality)]) ).
cnf(2582,plain,
X2 = ld(ld(X2,ld(X2,X2)),mult(X2,ld(X2,ld(X2,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2528,2061,theory(equality)]),23,theory(equality)]) ).
cnf(2583,plain,
X2 = mult(X2,mult(X2,ld(X2,ld(X2,X2)))),
inference(rw,[status(thm)],[2582,2060,theory(equality)]) ).
cnf(2811,plain,
mult(X1,ld(X1,X1)) = X1,
inference(spm,[status(thm)],[2581,13,theory(equality)]) ).
cnf(2812,plain,
ld(X1,X1) = mult(X1,ld(X1,ld(X1,X1))),
inference(spm,[status(thm)],[21,2581,theory(equality)]) ).
cnf(3115,plain,
mult(X2,ld(X2,X2)) = X2,
inference(rw,[status(thm)],[2583,2812,theory(equality)]) ).
cnf(3120,plain,
mult(X1,ld(ld(X1,X1),X2)) = mult(ld(X1,X1),mult(ld(ld(X1,X1),X1),X2)),
inference(spm,[status(thm)],[56,3115,theory(equality)]) ).
cnf(3163,plain,
mult(X1,mult(ld(X1,X1),X2)) = mult(ld(X1,X1),mult(ld(ld(X1,X1),X1),X2)),
inference(rw,[status(thm)],[3120,2065,theory(equality)]) ).
cnf(3164,plain,
mult(X1,mult(ld(X1,X1),X2)) = mult(ld(X1,X1),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3163,2065,theory(equality)]),2045,theory(equality)]) ).
cnf(4523,plain,
mult(mult(X1,mult(X1,mult(ld(X1,X1),mult(X1,ld(X1,X1))))),X2) = mult(mult(X1,ld(X1,X1)),mult(X1,mult(mult(X1,ld(X1,X1)),X2))),
inference(spm,[status(thm)],[30,3164,theory(equality)]) ).
cnf(4546,plain,
mult(ld(X1,X1),X1) = mult(X1,mult(ld(X1,X1),ld(X1,X1))),
inference(spm,[status(thm)],[3164,3115,theory(equality)]) ).
cnf(4593,plain,
mult(mult(X1,mult(X1,X1)),X2) = mult(mult(X1,ld(X1,X1)),mult(X1,mult(mult(X1,ld(X1,X1)),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4523,2811,theory(equality)]),2045,theory(equality)]) ).
cnf(4594,plain,
mult(mult(X1,mult(X1,X1)),X2) = mult(X1,mult(X1,mult(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4593,2811,theory(equality)]),2811,theory(equality)]) ).
cnf(4625,plain,
X1 = mult(X1,mult(ld(X1,X1),ld(X1,X1))),
inference(rw,[status(thm)],[4546,2045,theory(equality)]) ).
cnf(4626,plain,
X1 = mult(X1,mult(X1,ld(mult(X1,X1),X1))),
inference(rw,[status(thm)],[4625,2242,theory(equality)]) ).
cnf(4643,plain,
ld(X1,X1) = mult(X1,ld(mult(X1,X1),X1)),
inference(spm,[status(thm)],[21,4626,theory(equality)]) ).
cnf(4918,plain,
ld(X1,ld(X1,X1)) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[21,4643,theory(equality)]) ).
cnf(5415,plain,
rd(mult(X1,mult(X1,mult(X1,X2))),X2) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[11,4594,theory(equality)]) ).
cnf(5498,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(rw,[status(thm)],[5415,28,theory(equality)]) ).
cnf(5801,plain,
ld(mult(X1,mult(X1,X1)),X2) = ld(X1,ld(X1,ld(X1,X2))),
inference(spm,[status(thm)],[144,5498,theory(equality)]) ).
cnf(6134,plain,
mult(mult(X1,mult(X1,X1)),ld(X1,ld(X1,ld(X1,X2)))) = X2,
inference(spm,[status(thm)],[13,5801,theory(equality)]) ).
cnf(6215,plain,
mult(X1,mult(X1,ld(X1,ld(X1,X2)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6134,4594,theory(equality)]),13,theory(equality)]) ).
cnf(6342,plain,
ld(X1,X2) = mult(X1,ld(X1,ld(X1,X2))),
inference(spm,[status(thm)],[21,6215,theory(equality)]) ).
cnf(10073,plain,
rd(mult(X1,X2),ld(X1,ld(X3,X2))) = mult(mult(X1,X3),X1),
inference(spm,[status(thm)],[185,21,theory(equality)]) ).
cnf(11444,plain,
mult(X1,ld(X2,mult(X1,X3))) = ld(ld(X1,rd(X2,X1)),X3),
inference(spm,[status(thm)],[13,261,theory(equality)]) ).
cnf(13612,plain,
mult(mult(ld(X1,X1),X2),ld(ld(X1,X1),ld(ld(X1,X1),ld(X1,X1)))) = ld(ld(X1,X1),rd(X2,ld(X1,X1))),
inference(spm,[status(thm)],[2360,2065,theory(equality)]) ).
cnf(13739,plain,
mult(mult(ld(X1,X1),X2),ld(X1,X1)) = ld(ld(X1,X1),rd(X2,ld(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13612,143,theory(equality)]),4918,theory(equality)]),6342,theory(equality)]),143,theory(equality)]),4918,theory(equality)]),6342,theory(equality)]) ).
cnf(13740,plain,
mult(mult(ld(X1,X1),X2),ld(X1,X1)) = mult(ld(X1,X1),rd(X2,ld(X1,X1))),
inference(rw,[status(thm)],[13739,2065,theory(equality)]) ).
cnf(18679,plain,
mult(mult(mult(X1,X3),X1),ld(X1,ld(X3,X2))) = mult(X1,X2),
inference(spm,[status(thm)],[19,10073,theory(equality)]) ).
cnf(18800,plain,
mult(X1,mult(X3,ld(X3,X2))) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18679,9,theory(equality)]),13,theory(equality)]) ).
cnf(18923,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X4)) = mult(X3,ld(X3,X4)),
inference(spm,[status(thm)],[1097,18800,theory(equality)]) ).
cnf(19150,plain,
X4 = mult(X3,ld(X3,X4)),
inference(rw,[status(thm)],[18923,1097,theory(equality)]) ).
cnf(21227,plain,
rd(ld(ld(X1,rd(rd(X2,ld(X1,X3)),X1)),X4),X4) = rd(X3,ld(X1,X2)),
inference(spm,[status(thm)],[1023,545,theory(equality)]) ).
cnf(21359,plain,
mult(mult(X1,rd(ld(X1,X3),X2)),X1) = rd(X3,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21227,11444,theory(equality)]),735,theory(equality)]),28,theory(equality)]) ).
cnf(57841,plain,
mult(ld(mult(mult(X1,X2),X1),X3),ld(ld(mult(mult(X1,X2),X1),X3),X4)) = mult(X3,ld(ld(mult(mult(X1,X2),X1),X3),mult(ld(mult(mult(X1,X2),X1),X3),ld(mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))),X4)))),
inference(spm,[status(thm)],[74,291,theory(equality)]) ).
cnf(58306,plain,
X4 = mult(X3,ld(ld(mult(mult(X1,X2),X1),X3),mult(ld(mult(mult(X1,X2),X1),X3),ld(mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))),X4)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[57841,144,theory(equality)]),144,theory(equality)]),19150,theory(equality)]) ).
cnf(58307,plain,
X4 = mult(X3,ld(X3,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[58306,144,theory(equality)]),144,theory(equality)]),41,theory(equality)]),13,theory(equality)]),21,theory(equality)]) ).
cnf(71520,plain,
mult(mult(X1,ld(ld(X1,X2),ld(X1,X2))),X1) = rd(X2,ld(X1,ld(X1,X2))),
inference(spm,[status(thm)],[21359,2009,theory(equality)]) ).
cnf(71761,plain,
mult(mult(X1,mult(X1,ld(mult(X2,X1),X2))),X1) = rd(X2,ld(X1,ld(X1,X2))),
inference(rw,[status(thm)],[71520,143,theory(equality)]) ).
cnf(300266,plain,
mult(ld(mult(X2,rd(X1,X1)),X2),rd(X1,X1)) = rd(X2,ld(rd(X1,X1),ld(rd(X1,X1),X2))),
inference(spm,[status(thm)],[71761,1097,theory(equality)]) ).
cnf(300927,plain,
mult(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1)) = rd(X2,ld(rd(X1,X1),ld(rd(X1,X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[300266,2009,theory(equality)]),2009,theory(equality)]) ).
cnf(300928,plain,
mult(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1)) = ld(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[300927,2009,theory(equality)]),735,theory(equality)]),2009,theory(equality)]),2065,theory(equality)]),2069,theory(equality)]),2009,theory(equality)]) ).
cnf(301355,plain,
rd(ld(X1,X1),ld(X2,X2)) = ld(mult(X1,ld(X2,X2)),X1),
inference(spm,[status(thm)],[11,300928,theory(equality)]) ).
cnf(303792,plain,
rd(mult(ld(X1,X1),ld(X1,X1)),ld(X2,X2)) = ld(mult(ld(X1,X1),ld(X2,X2)),ld(X1,X1)),
inference(spm,[status(thm)],[301355,2065,theory(equality)]) ).
cnf(303986,plain,
ld(mult(X1,ld(X2,X2)),X1) = ld(mult(ld(X1,X1),ld(X2,X2)),ld(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[303792,2242,theory(equality)]),4918,theory(equality)]),6342,theory(equality)]),301355,theory(equality)]) ).
cnf(311138,plain,
mult(mult(ld(X1,X1),ld(X2,X2)),ld(mult(X1,ld(X2,X2)),X1)) = ld(X1,X1),
inference(spm,[status(thm)],[58307,303986,theory(equality)]) ).
cnf(844278,plain,
mult(mult(ld(X1,X1),X2),mult(ld(X1,X1),mult(mult(ld(X1,X1),X2),X3))) = mult(mult(rd(X1,X1),mult(X2,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1549,2009,theory(equality)]),2009,theory(equality)]),2009,theory(equality)]) ).
cnf(844279,plain,
mult(mult(ld(X1,X1),X2),mult(ld(X1,X1),mult(mult(ld(X1,X1),X2),X3))) = mult(mult(ld(X1,X1),mult(X2,X2)),X3),
inference(rw,[status(thm)],[844278,2009,theory(equality)]) ).
cnf(844983,plain,
mult(mult(ld(X1,X1),ld(X2,X2)),mult(ld(X1,X1),ld(X1,X1))) = mult(mult(ld(X1,X1),mult(ld(X2,X2),ld(X2,X2))),ld(mult(X1,ld(X2,X2)),X1)),
inference(spm,[status(thm)],[844279,311138,theory(equality)]) ).
cnf(846033,plain,
mult(ld(X1,X1),ld(mult(X2,ld(X1,X1)),X2)) = mult(mult(ld(X1,X1),mult(ld(X2,X2),ld(X2,X2))),ld(mult(X1,ld(X2,X2)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[844983,2242,theory(equality)]),4918,theory(equality)]),6342,theory(equality)]),13740,theory(equality)]),301355,theory(equality)]) ).
cnf(846034,plain,
mult(ld(X1,X1),ld(mult(X2,ld(X1,X1)),X2)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[846033,2242,theory(equality)]),4918,theory(equality)]),2812,theory(equality)]),311138,theory(equality)]) ).
cnf(846455,plain,
mult(ld(X1,X1),ld(ld(X1,X1),X2)) = ld(ld(X1,X1),X2),
inference(spm,[status(thm)],[2078,846034,theory(equality)]) ).
cnf(847129,plain,
X2 = ld(ld(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[846455,2065,theory(equality)]),2069,theory(equality)]) ).
cnf(847130,plain,
X2 = mult(ld(X1,X1),X2),
inference(rw,[status(thm)],[847129,2065,theory(equality)]) ).
cnf(847906,plain,
rd(mult(ld(X1,X1),mult(X2,X3)),X3) = mult(mult(ld(X1,X1),X2),ld(X1,X1)),
inference(spm,[status(thm)],[28,847130,theory(equality)]) ).
cnf(849300,negated_conjecture,
( mult(esk1_0,ld(esk2_0,esk2_0)) != esk1_0
| $false ),
inference(rw,[status(thm)],[17,847130,theory(equality)]) ).
cnf(849301,negated_conjecture,
mult(esk1_0,ld(esk2_0,esk2_0)) != esk1_0,
inference(cn,[status(thm)],[849300,theory(equality)]) ).
cnf(849315,plain,
X2 = mult(mult(ld(X1,X1),X2),ld(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[847906,847130,theory(equality)]),11,theory(equality)]) ).
cnf(849316,plain,
X2 = mult(X2,ld(X1,X1)),
inference(rw,[status(thm)],[849315,847130,theory(equality)]) ).
cnf(852369,negated_conjecture,
$false,
inference(rw,[status(thm)],[849301,849316,theory(equality)]) ).
cnf(852370,negated_conjecture,
$false,
inference(cn,[status(thm)],[852369,theory(equality)]) ).
cnf(852371,negated_conjecture,
$false,
852370,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP654+3.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpZHpxOH/sel_GRP654+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpZHpxOH/sel_GRP654+3.p_2 with time limit 81
% -prover status Theorem
% Problem GRP654+3.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP654+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP654+3.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------