TSTP Solution File: GRP685+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP685+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 11:23:19 EST 2010
% Result : Theorem 0.32s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 8
% Syntax : Number of formulae : 129 ( 114 unt; 0 def)
% Number of atoms : 144 ( 140 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 27 ~; 13 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 284 ( 0 sgn 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3,X4] : ld(ld(X4,X3),mult(ld(X4,X3),mult(X2,X1))) = mult(ld(X4,mult(X4,X2)),X1),
file('/tmp/tmpVJUaY9/sel_GRP685+1.p_1',f05) ).
fof(2,axiom,
! [X3,X4] : mult(rd(X4,X3),X3) = rd(mult(X4,X3),X3),
file('/tmp/tmpVJUaY9/sel_GRP685+1.p_1',f04) ).
fof(3,axiom,
! [X3,X4] : ld(X4,mult(X4,ld(X3,X3))) = rd(mult(rd(X4,X4),X3),X3),
file('/tmp/tmpVJUaY9/sel_GRP685+1.p_1',f07) ).
fof(4,axiom,
! [X1,X2,X3,X4] : rd(mult(mult(X4,X3),rd(X2,X1)),rd(X2,X1)) = mult(X4,rd(mult(X3,X1),X1)),
file('/tmp/tmpVJUaY9/sel_GRP685+1.p_1',f06) ).
fof(5,axiom,
! [X4] : ld(X4,mult(X4,X4)) = X4,
file('/tmp/tmpVJUaY9/sel_GRP685+1.p_1',f01) ).
fof(6,conjecture,
! [X5,X6,X7] :
( rd(mult(X5,ld(X6,X7)),ld(X6,X7)) = rd(mult(X5,X7),X7)
& rd(mult(X5,rd(X6,X7)),rd(X6,X7)) = rd(mult(X5,X7),X7) ),
file('/tmp/tmpVJUaY9/sel_GRP685+1.p_1',goals) ).
fof(7,axiom,
! [X3,X4] : mult(X4,ld(X4,X3)) = ld(X4,mult(X4,X3)),
file('/tmp/tmpVJUaY9/sel_GRP685+1.p_1',f03) ).
fof(8,axiom,
! [X4] : rd(mult(X4,X4),X4) = X4,
file('/tmp/tmpVJUaY9/sel_GRP685+1.p_1',f02) ).
fof(9,negated_conjecture,
~ ! [X5,X6,X7] :
( rd(mult(X5,ld(X6,X7)),ld(X6,X7)) = rd(mult(X5,X7),X7)
& rd(mult(X5,rd(X6,X7)),rd(X6,X7)) = rd(mult(X5,X7),X7) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(10,plain,
! [X5,X6,X7,X8] : ld(ld(X8,X7),mult(ld(X8,X7),mult(X6,X5))) = mult(ld(X8,mult(X8,X6)),X5),
inference(variable_rename,[status(thm)],[1]) ).
cnf(11,plain,
ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
inference(split_conjunct,[status(thm)],[10]) ).
fof(12,plain,
! [X5,X6] : mult(rd(X6,X5),X5) = rd(mult(X6,X5),X5),
inference(variable_rename,[status(thm)],[2]) ).
cnf(13,plain,
mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2),
inference(split_conjunct,[status(thm)],[12]) ).
fof(14,plain,
! [X5,X6] : ld(X6,mult(X6,ld(X5,X5))) = rd(mult(rd(X6,X6),X5),X5),
inference(variable_rename,[status(thm)],[3]) ).
cnf(15,plain,
ld(X1,mult(X1,ld(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
inference(split_conjunct,[status(thm)],[14]) ).
fof(16,plain,
! [X5,X6,X7,X8] : rd(mult(mult(X8,X7),rd(X6,X5)),rd(X6,X5)) = mult(X8,rd(mult(X7,X5),X5)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(17,plain,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
inference(split_conjunct,[status(thm)],[16]) ).
fof(18,plain,
! [X5] : ld(X5,mult(X5,X5)) = X5,
inference(variable_rename,[status(thm)],[5]) ).
cnf(19,plain,
ld(X1,mult(X1,X1)) = X1,
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,negated_conjecture,
? [X5,X6,X7] :
( rd(mult(X5,ld(X6,X7)),ld(X6,X7)) != rd(mult(X5,X7),X7)
| rd(mult(X5,rd(X6,X7)),rd(X6,X7)) != rd(mult(X5,X7),X7) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(21,negated_conjecture,
? [X8,X9,X10] :
( rd(mult(X8,ld(X9,X10)),ld(X9,X10)) != rd(mult(X8,X10),X10)
| rd(mult(X8,rd(X9,X10)),rd(X9,X10)) != rd(mult(X8,X10),X10) ),
inference(variable_rename,[status(thm)],[20]) ).
fof(22,negated_conjecture,
( rd(mult(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0)
| rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
inference(skolemize,[status(esa)],[21]) ).
cnf(23,negated_conjecture,
( rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0)
| rd(mult(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X5,X6] : mult(X6,ld(X6,X5)) = ld(X6,mult(X6,X5)),
inference(variable_rename,[status(thm)],[7]) ).
cnf(25,plain,
mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)),
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X5] : rd(mult(X5,X5),X5) = X5,
inference(variable_rename,[status(thm)],[8]) ).
cnf(27,plain,
rd(mult(X1,X1),X1) = X1,
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,plain,
mult(X1,ld(X1,X1)) = X1,
inference(rw,[status(thm)],[19,25,theory(equality)]) ).
cnf(29,plain,
mult(rd(X1,X1),X1) = X1,
inference(rw,[status(thm)],[27,13,theory(equality)]) ).
cnf(30,plain,
mult(rd(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))),
inference(rw,[status(thm)],[15,13,theory(equality)]) ).
cnf(31,plain,
mult(rd(rd(X1,X1),X2),X2) = mult(X1,ld(X1,ld(X2,X2))),
inference(rw,[status(thm)],[30,25,theory(equality)]) ).
cnf(34,plain,
mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
inference(rw,[status(thm)],[11,25,theory(equality)]) ).
cnf(35,plain,
mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4))) = mult(mult(X1,ld(X1,X3)),X4),
inference(rw,[status(thm)],[34,25,theory(equality)]) ).
cnf(37,plain,
mult(mult(X1,ld(X1,X2)),ld(mult(X1,ld(X1,X2)),mult(X3,X4))) = mult(mult(X1,ld(X1,X3)),X4),
inference(spm,[status(thm)],[35,25,theory(equality)]) ).
cnf(44,plain,
mult(rd(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
inference(rw,[status(thm)],[17,13,theory(equality)]) ).
cnf(45,plain,
mult(rd(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,mult(rd(X2,X4),X4)),
inference(rw,[status(thm)],[44,13,theory(equality)]) ).
cnf(48,plain,
mult(rd(mult(X1,X2),mult(rd(X3,X4),X4)),mult(rd(X3,X4),X4)) = mult(X1,mult(rd(X2,X4),X4)),
inference(spm,[status(thm)],[45,13,theory(equality)]) ).
cnf(58,negated_conjecture,
( mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0)
| rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
inference(rw,[status(thm)],[23,13,theory(equality)]) ).
cnf(59,negated_conjecture,
( mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0)
| rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
inference(rw,[status(thm)],[58,13,theory(equality)]) ).
cnf(60,negated_conjecture,
( mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0)
| mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
inference(rw,[status(thm)],[59,13,theory(equality)]) ).
cnf(61,negated_conjecture,
( mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0)
| mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0) ),
inference(rw,[status(thm)],[60,13,theory(equality)]) ).
cnf(62,plain,
ld(X1,X1) = mult(X1,ld(X1,ld(X1,X1))),
inference(spm,[status(thm)],[25,28,theory(equality)]) ).
cnf(66,plain,
ld(rd(X1,X1),X1) = mult(rd(X1,X1),ld(rd(X1,X1),X1)),
inference(spm,[status(thm)],[25,29,theory(equality)]) ).
cnf(67,plain,
rd(X1,X1) = mult(rd(rd(X1,X1),X1),X1),
inference(spm,[status(thm)],[13,29,theory(equality)]) ).
cnf(69,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X3)) = mult(mult(X1,ld(X1,rd(X3,X3))),X3),
inference(spm,[status(thm)],[35,29,theory(equality)]) ).
cnf(71,plain,
rd(X1,X1) = mult(X1,ld(X1,ld(X1,X1))),
inference(rw,[status(thm)],[67,31,theory(equality)]) ).
cnf(76,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[71,62,theory(equality)]) ).
cnf(78,plain,
mult(X1,ld(X1,rd(X1,X1))) = ld(X1,X1),
inference(rw,[status(thm)],[62,76,theory(equality)]) ).
cnf(79,plain,
mult(X1,ld(X1,rd(X1,X1))) = rd(X1,X1),
inference(rw,[status(thm)],[78,76,theory(equality)]) ).
cnf(80,plain,
mult(X1,rd(X1,X1)) = X1,
inference(rw,[status(thm)],[28,76,theory(equality)]) ).
cnf(81,plain,
mult(rd(rd(X1,X1),X2),X2) = mult(X1,ld(X1,rd(X2,X2))),
inference(rw,[status(thm)],[31,76,theory(equality)]) ).
cnf(203,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X1)) = mult(rd(X1,X1),X1),
inference(spm,[status(thm)],[69,79,theory(equality)]) ).
cnf(219,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X1)) = X1,
inference(rw,[status(thm)],[203,29,theory(equality)]) ).
cnf(234,plain,
mult(mult(X1,rd(X1,X1)),ld(mult(X1,rd(X1,X1)),mult(X2,X3))) = mult(mult(X1,ld(X1,X2)),X3),
inference(spm,[status(thm)],[37,76,theory(equality)]) ).
cnf(266,plain,
mult(X1,ld(X1,mult(X2,X3))) = mult(mult(X1,ld(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[234,80,theory(equality)]),80,theory(equality)]) ).
cnf(288,plain,
mult(rd(X1,X1),ld(rd(X1,X1),X1)) = X1,
inference(spm,[status(thm)],[219,76,theory(equality)]) ).
cnf(296,plain,
ld(rd(X1,X1),X1) = X1,
inference(rw,[status(thm)],[288,66,theory(equality)]) ).
cnf(315,plain,
ld(mult(X1,ld(X1,X2)),mult(X1,ld(X1,mult(X2,X3)))) = mult(mult(X1,ld(X1,X2)),ld(mult(X1,ld(X1,X2)),X3)),
inference(spm,[status(thm)],[25,266,theory(equality)]) ).
cnf(316,plain,
mult(mult(X1,mult(X1,ld(X1,X2))),X3) = mult(X1,ld(X1,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[266,25,theory(equality)]) ).
cnf(319,plain,
mult(mult(X1,rd(X1,X1)),X2) = mult(X1,ld(X1,mult(X1,X2))),
inference(spm,[status(thm)],[266,76,theory(equality)]) ).
cnf(339,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X3)) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[69,266,theory(equality)]),29,theory(equality)]) ).
cnf(340,plain,
ld(mult(X1,ld(X1,X2)),mult(X1,ld(X1,mult(X2,X3)))) = mult(X1,ld(X1,mult(X2,ld(mult(X1,ld(X1,X2)),X3)))),
inference(rw,[status(thm)],[315,266,theory(equality)]) ).
cnf(343,plain,
mult(X1,X2) = mult(X1,ld(X1,mult(X1,X2))),
inference(rw,[status(thm)],[319,80,theory(equality)]) ).
cnf(344,plain,
mult(X1,X2) = mult(X1,mult(X1,ld(X1,X2))),
inference(rw,[status(thm)],[343,25,theory(equality)]) ).
cnf(377,plain,
mult(mult(X1,ld(X1,X2)),ld(mult(X1,ld(X1,X2)),X3)) = mult(X1,ld(X1,X3)),
inference(spm,[status(thm)],[339,25,theory(equality)]) ).
cnf(382,plain,
mult(ld(X1,X2),rd(ld(X1,X2),ld(X1,X2))) = mult(X1,ld(X1,ld(X1,X2))),
inference(spm,[status(thm)],[339,76,theory(equality)]) ).
cnf(394,plain,
mult(X1,ld(X1,mult(X2,ld(mult(X1,ld(X1,X2)),X3)))) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[377,266,theory(equality)]) ).
cnf(397,plain,
ld(X1,X2) = mult(X1,ld(X1,ld(X1,X2))),
inference(rw,[status(thm)],[382,80,theory(equality)]) ).
cnf(407,plain,
mult(ld(X1,X2),X3) = mult(X1,ld(X1,mult(ld(X1,X2),X3))),
inference(spm,[status(thm)],[266,397,theory(equality)]) ).
cnf(925,plain,
mult(mult(X1,X2),X3) = mult(X1,ld(X1,mult(mult(X1,X2),X3))),
inference(rw,[status(thm)],[316,344,theory(equality)]) ).
cnf(1255,plain,
mult(rd(mult(X1,X2),X3),X3) = mult(X1,mult(rd(X2,X3),X3)),
inference(spm,[status(thm)],[48,29,theory(equality)]) ).
cnf(1334,plain,
mult(rd(X1,X2),X2) = mult(X1,mult(rd(rd(X1,X1),X2),X2)),
inference(spm,[status(thm)],[1255,80,theory(equality)]) ).
cnf(1368,plain,
mult(X1,mult(rd(X2,rd(X3,X4)),rd(X3,X4))) = mult(X1,mult(rd(X2,X4),X4)),
inference(rw,[status(thm)],[45,1255,theory(equality)]) ).
cnf(1370,plain,
mult(rd(X1,X2),X2) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1334,81,theory(equality)]),344,theory(equality)]) ).
cnf(1394,plain,
ld(rd(X1,X2),mult(X1,rd(X2,X2))) = mult(rd(X1,X2),ld(rd(X1,X2),X2)),
inference(spm,[status(thm)],[25,1370,theory(equality)]) ).
cnf(1400,plain,
mult(mult(X1,X2),rd(X3,X3)) = mult(X1,mult(rd(X2,X3),X3)),
inference(rw,[status(thm)],[1255,1370,theory(equality)]) ).
cnf(1401,plain,
mult(mult(X1,X2),rd(X3,X3)) = mult(X1,mult(X2,rd(X3,X3))),
inference(rw,[status(thm)],[1400,1370,theory(equality)]) ).
cnf(1411,plain,
mult(rd(X1,X1),rd(X2,X2)) = mult(X1,ld(X1,rd(X2,X2))),
inference(rw,[status(thm)],[81,1370,theory(equality)]) ).
cnf(1416,negated_conjecture,
( mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != mult(rd(esk1_0,esk3_0),esk3_0)
| mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0) ),
inference(rw,[status(thm)],[61,1370,theory(equality)]) ).
cnf(1417,negated_conjecture,
( mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0))
| mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0) ),
inference(rw,[status(thm)],[1416,1370,theory(equality)]) ).
cnf(1418,negated_conjecture,
( mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0))
| mult(esk1_0,rd(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0))) != mult(rd(esk1_0,esk3_0),esk3_0) ),
inference(rw,[status(thm)],[1417,1370,theory(equality)]) ).
cnf(1419,negated_conjecture,
( mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0))
| mult(esk1_0,rd(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0)) ),
inference(rw,[status(thm)],[1418,1370,theory(equality)]) ).
cnf(1434,plain,
mult(X1,mult(ld(X1,X2),rd(X3,X3))) = mult(X1,ld(X1,mult(X2,rd(X3,X3)))),
inference(spm,[status(thm)],[266,1401,theory(equality)]) ).
cnf(1818,plain,
mult(X1,mult(X2,rd(rd(X3,X4),rd(X3,X4)))) = mult(X1,mult(rd(X2,X4),X4)),
inference(rw,[status(thm)],[1368,1370,theory(equality)]) ).
cnf(1819,plain,
mult(X1,mult(X2,rd(rd(X3,X4),rd(X3,X4)))) = mult(X1,mult(X2,rd(X4,X4))),
inference(rw,[status(thm)],[1818,1370,theory(equality)]) ).
cnf(2061,plain,
mult(X1,ld(X1,mult(mult(X1,X2),ld(mult(X1,mult(X1,ld(X1,X2))),X3)))) = mult(X1,ld(X1,X3)),
inference(spm,[status(thm)],[394,25,theory(equality)]) ).
cnf(2107,plain,
mult(mult(X1,X2),ld(mult(X1,X2),X3)) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2061,344,theory(equality)]),925,theory(equality)]) ).
cnf(2159,plain,
ld(mult(X1,ld(X1,X2)),mult(X1,ld(X1,mult(X2,X3)))) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[340,394,theory(equality)]) ).
cnf(2174,plain,
ld(mult(X1,ld(X1,X2)),mult(X1,ld(X1,mult(X2,X3)))) = mult(X1,ld(X1,mult(X2,ld(X2,X3)))),
inference(spm,[status(thm)],[2159,344,theory(equality)]) ).
cnf(2254,plain,
mult(X1,ld(X1,X3)) = mult(X1,ld(X1,mult(X2,ld(X2,X3)))),
inference(rw,[status(thm)],[2174,2159,theory(equality)]) ).
cnf(2346,plain,
mult(mult(X1,rd(X2,X2)),ld(mult(X1,rd(X2,X2)),X3)) = mult(rd(X1,X2),ld(rd(X1,X2),X3)),
inference(spm,[status(thm)],[2107,1370,theory(equality)]) ).
cnf(2399,plain,
mult(X1,ld(X1,X3)) = mult(rd(X1,X2),ld(rd(X1,X2),X3)),
inference(rw,[status(thm)],[2346,2107,theory(equality)]) ).
cnf(2429,plain,
ld(X1,mult(X1,ld(X1,X3))) = mult(X1,ld(X1,ld(X1,mult(X2,ld(X2,X3))))),
inference(spm,[status(thm)],[25,2254,theory(equality)]) ).
cnf(2474,plain,
ld(X1,X3) = mult(X1,ld(X1,ld(X1,mult(X2,ld(X2,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2429,25,theory(equality)]),397,theory(equality)]) ).
cnf(2475,plain,
ld(X1,X3) = ld(X1,mult(X2,ld(X2,X3))),
inference(rw,[status(thm)],[2474,397,theory(equality)]) ).
cnf(2542,plain,
mult(X1,mult(X1,ld(X1,X3))) = mult(X1,mult(X2,ld(X2,X3))),
inference(spm,[status(thm)],[344,2475,theory(equality)]) ).
cnf(2569,plain,
ld(mult(X1,ld(X1,X2)),mult(X2,X3)) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[2159,2475,theory(equality)]) ).
cnf(2579,plain,
mult(X1,X3) = mult(X1,mult(X2,ld(X2,X3))),
inference(rw,[status(thm)],[2542,344,theory(equality)]) ).
cnf(2719,plain,
mult(X1,ld(X1,ld(X2,X3))) = ld(mult(X1,ld(X1,X2)),X3),
inference(spm,[status(thm)],[2475,2569,theory(equality)]) ).
cnf(3103,plain,
mult(rd(X1,X2),mult(rd(X1,X2),ld(rd(X1,X2),X3))) = mult(X1,ld(X1,mult(rd(X1,X2),X3))),
inference(spm,[status(thm)],[2399,25,theory(equality)]) ).
cnf(3134,plain,
mult(rd(X1,X2),X3) = mult(X1,ld(X1,mult(rd(X1,X2),X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3103,2399,theory(equality)]),2579,theory(equality)]) ).
cnf(3704,plain,
ld(rd(X1,X2),mult(X1,rd(X2,X2))) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[1394,2399,theory(equality)]) ).
cnf(3862,plain,
ld(X1,mult(X1,mult(ld(X1,X2),rd(X3,X3)))) = mult(X1,ld(X1,ld(X1,mult(X2,rd(X3,X3))))),
inference(spm,[status(thm)],[25,1434,theory(equality)]) ).
cnf(3904,plain,
mult(ld(X1,X2),rd(X3,X3)) = mult(X1,ld(X1,ld(X1,mult(X2,rd(X3,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3862,25,theory(equality)]),407,theory(equality)]) ).
cnf(3905,plain,
mult(ld(X1,X2),rd(X3,X3)) = ld(X1,mult(X2,rd(X3,X3))),
inference(rw,[status(thm)],[3904,397,theory(equality)]) ).
cnf(3943,plain,
ld(X1,X2) = mult(ld(X1,X2),rd(X2,X2)),
inference(spm,[status(thm)],[3905,80,theory(equality)]) ).
cnf(3977,plain,
mult(ld(rd(X1,X2),X1),rd(X2,X2)) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[3704,3905,theory(equality)]) ).
cnf(4002,plain,
ld(ld(X1,X2),ld(X1,X2)) = mult(ld(X1,X2),ld(ld(X1,X2),rd(X2,X2))),
inference(spm,[status(thm)],[25,3943,theory(equality)]) ).
cnf(4026,plain,
ld(X1,ld(X2,X3)) = mult(ld(X1,ld(X2,X3)),rd(X3,X3)),
inference(spm,[status(thm)],[3905,3943,theory(equality)]) ).
cnf(4028,plain,
rd(ld(X1,X2),ld(X1,X2)) = mult(ld(X1,X2),ld(ld(X1,X2),rd(X2,X2))),
inference(rw,[status(thm)],[4002,76,theory(equality)]) ).
cnf(4029,plain,
rd(ld(X1,X2),ld(X1,X2)) = mult(X1,ld(X1,rd(X2,X2))),
inference(rw,[status(thm)],[4028,339,theory(equality)]) ).
cnf(4093,negated_conjecture,
( $false
| mult(esk1_0,rd(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1419,4029,theory(equality)]),2579,theory(equality)]) ).
cnf(4094,negated_conjecture,
mult(esk1_0,rd(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0)),
inference(cn,[status(thm)],[4093,theory(equality)]) ).
cnf(4385,plain,
ld(rd(ld(X1,X2),X2),ld(X1,X2)) = mult(ld(X1,X2),ld(ld(X1,X2),X2)),
inference(spm,[status(thm)],[3977,4026,theory(equality)]) ).
cnf(4421,plain,
ld(rd(ld(X1,X2),X2),ld(X1,X2)) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[4385,339,theory(equality)]) ).
cnf(4457,plain,
ld(rd(mult(X1,ld(X1,X2)),ld(X1,X2)),mult(X1,ld(X1,X2))) = mult(rd(ld(X1,X2),X2),mult(X1,ld(X1,X2))),
inference(spm,[status(thm)],[4421,4421,theory(equality)]) ).
cnf(4506,plain,
ld(mult(X1,rd(X2,X2)),X2) = mult(rd(ld(X1,X2),X2),mult(X1,ld(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4457,13,theory(equality)]),1370,theory(equality)]),4029,theory(equality)]),344,theory(equality)]),2475,theory(equality)]) ).
cnf(4507,plain,
ld(mult(X1,rd(X2,X2)),X2) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4506,2579,theory(equality)]),1370,theory(equality)]),3943,theory(equality)]) ).
cnf(4518,plain,
ld(mult(X1,ld(X1,rd(X2,X2))),X2) = ld(rd(X1,X1),X2),
inference(spm,[status(thm)],[4507,1411,theory(equality)]) ).
cnf(4548,plain,
mult(X1,ld(X1,X2)) = ld(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4518,2719,theory(equality)]),296,theory(equality)]) ).
cnf(4568,plain,
mult(X1,ld(X1,mult(rd(X1,X1),X2))) = mult(rd(X1,X1),ld(rd(X1,X1),X2)),
inference(spm,[status(thm)],[25,4548,theory(equality)]) ).
cnf(4614,plain,
mult(rd(X1,X1),X2) = mult(rd(X1,X1),ld(rd(X1,X1),X2)),
inference(rw,[status(thm)],[4568,3134,theory(equality)]) ).
cnf(4615,plain,
mult(rd(X1,X1),X2) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[4614,2399,theory(equality)]) ).
cnf(4701,plain,
mult(X1,mult(X2,ld(X2,rd(rd(X3,X4),rd(X3,X4))))) = mult(X1,mult(rd(X2,X2),rd(X4,X4))),
inference(spm,[status(thm)],[1819,4615,theory(equality)]) ).
cnf(4760,plain,
mult(X1,rd(rd(X3,X4),rd(X3,X4))) = mult(X1,mult(rd(X2,X2),rd(X4,X4))),
inference(rw,[status(thm)],[4701,2579,theory(equality)]) ).
cnf(4761,plain,
mult(X1,rd(rd(X3,X4),rd(X3,X4))) = mult(X1,rd(X4,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4760,1411,theory(equality)]),2579,theory(equality)]) ).
cnf(5976,negated_conjecture,
$false,
inference(rw,[status(thm)],[4094,4761,theory(equality)]) ).
cnf(5977,negated_conjecture,
$false,
inference(cn,[status(thm)],[5976,theory(equality)]) ).
cnf(5978,negated_conjecture,
$false,
5977,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP685+1.p
% --creating new selector for []
% -running prover on /tmp/tmpVJUaY9/sel_GRP685+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP685+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP685+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP685+1.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
%
%------------------------------------------------------------------------------