TSTP Solution File: GRP683+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP683+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 11:23:15 EST 2010
% Result : Theorem 0.48s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 8
% Syntax : Number of formulae : 146 ( 136 unt; 0 def)
% Number of atoms : 156 ( 152 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 8 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 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 : 343 ( 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/tmpEyvkoc/sel_GRP683+1.p_1',f05) ).
fof(2,axiom,
! [X3,X4] : mult(rd(X4,X3),X3) = rd(mult(X4,X3),X3),
file('/tmp/tmpEyvkoc/sel_GRP683+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/tmpEyvkoc/sel_GRP683+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/tmpEyvkoc/sel_GRP683+1.p_1',f06) ).
fof(5,axiom,
! [X4] : ld(X4,mult(X4,X4)) = X4,
file('/tmp/tmpEyvkoc/sel_GRP683+1.p_1',f01) ).
fof(6,conjecture,
! [X5,X6,X7] :
( mult(X5,ld(X6,mult(X6,X7))) = mult(X5,X7)
& mult(rd(mult(X5,X6),X6),X7) = mult(X5,X7) ),
file('/tmp/tmpEyvkoc/sel_GRP683+1.p_1',goals) ).
fof(7,axiom,
! [X3,X4] : mult(X4,ld(X4,X3)) = ld(X4,mult(X4,X3)),
file('/tmp/tmpEyvkoc/sel_GRP683+1.p_1',f03) ).
fof(8,axiom,
! [X4] : rd(mult(X4,X4),X4) = X4,
file('/tmp/tmpEyvkoc/sel_GRP683+1.p_1',f02) ).
fof(9,negated_conjecture,
~ ! [X5,X6,X7] :
( mult(X5,ld(X6,mult(X6,X7))) = mult(X5,X7)
& mult(rd(mult(X5,X6),X6),X7) = mult(X5,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] :
( mult(X5,ld(X6,mult(X6,X7))) != mult(X5,X7)
| mult(rd(mult(X5,X6),X6),X7) != mult(X5,X7) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(21,negated_conjecture,
? [X8,X9,X10] :
( mult(X8,ld(X9,mult(X9,X10))) != mult(X8,X10)
| mult(rd(mult(X8,X9),X9),X10) != mult(X8,X10) ),
inference(variable_rename,[status(thm)],[20]) ).
fof(22,negated_conjecture,
( mult(esk1_0,ld(esk2_0,mult(esk2_0,esk3_0))) != mult(esk1_0,esk3_0)
| mult(rd(mult(esk1_0,esk2_0),esk2_0),esk3_0) != mult(esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[21]) ).
cnf(23,negated_conjecture,
( mult(rd(mult(esk1_0,esk2_0),esk2_0),esk3_0) != mult(esk1_0,esk3_0)
| mult(esk1_0,ld(esk2_0,mult(esk2_0,esk3_0))) != mult(esk1_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(36,plain,
ld(ld(X1,X2),mult(mult(X1,ld(X1,X3)),X4)) = mult(ld(X1,X2),ld(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4)))),
inference(spm,[status(thm)],[25,35,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(esk1_0,mult(esk2_0,ld(esk2_0,esk3_0))) != mult(esk1_0,esk3_0)
| mult(rd(mult(esk1_0,esk2_0),esk2_0),esk3_0) != mult(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[23,25,theory(equality)]) ).
cnf(59,negated_conjecture,
( mult(esk1_0,mult(esk2_0,ld(esk2_0,esk3_0))) != mult(esk1_0,esk3_0)
| mult(mult(rd(esk1_0,esk2_0),esk2_0),esk3_0) != mult(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[58,13,theory(equality)]) ).
cnf(60,plain,
ld(X1,X1) = mult(X1,ld(X1,ld(X1,X1))),
inference(spm,[status(thm)],[25,28,theory(equality)]) ).
cnf(62,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X3)) = mult(mult(X1,ld(X1,X3)),ld(X3,X3)),
inference(spm,[status(thm)],[35,28,theory(equality)]) ).
cnf(65,plain,
rd(X1,X1) = mult(rd(rd(X1,X1),X1),X1),
inference(spm,[status(thm)],[13,29,theory(equality)]) ).
cnf(69,plain,
rd(X1,X1) = mult(X1,ld(X1,ld(X1,X1))),
inference(rw,[status(thm)],[65,31,theory(equality)]) ).
cnf(74,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[69,60,theory(equality)]) ).
cnf(75,plain,
mult(rd(mult(X1,X2),ld(X3,X3)),ld(X3,X3)) = mult(X1,mult(rd(X2,X3),X3)),
inference(spm,[status(thm)],[45,74,theory(equality)]) ).
cnf(76,plain,
mult(ld(X1,X1),X1) = X1,
inference(rw,[status(thm)],[29,74,theory(equality)]) ).
cnf(77,plain,
mult(rd(ld(X1,X1),X2),X2) = mult(X1,ld(X1,ld(X2,X2))),
inference(rw,[status(thm)],[31,74,theory(equality)]) ).
cnf(91,plain,
mult(ld(ld(X1,X1),ld(X1,X1)),ld(X1,X1)) = mult(X1,ld(X1,ld(ld(X1,X1),ld(X1,X1)))),
inference(spm,[status(thm)],[77,74,theory(equality)]) ).
cnf(96,plain,
ld(X1,X1) = mult(X1,ld(X1,ld(ld(X1,X1),ld(X1,X1)))),
inference(rw,[status(thm)],[91,76,theory(equality)]) ).
cnf(253,plain,
mult(X1,ld(X1,mult(X2,X3))) = mult(mult(X1,ld(X1,X2)),X3),
inference(spm,[status(thm)],[37,28,theory(equality)]) ).
cnf(335,plain,
mult(mult(X1,mult(X1,ld(X1,X2))),X3) = mult(X1,ld(X1,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[253,25,theory(equality)]) ).
cnf(336,plain,
rd(mult(X1,ld(X1,mult(X2,X3))),X3) = mult(rd(mult(X1,ld(X1,X2)),X3),X3),
inference(spm,[status(thm)],[13,253,theory(equality)]) ).
cnf(339,plain,
mult(X1,X2) = mult(X1,ld(X1,mult(X1,X2))),
inference(spm,[status(thm)],[253,28,theory(equality)]) ).
cnf(355,plain,
mult(ld(X1,X2),ld(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4)))) = ld(ld(X1,X2),mult(X1,ld(X1,mult(X3,X4)))),
inference(rw,[status(thm)],[36,253,theory(equality)]) ).
cnf(357,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X3)) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[62,253,theory(equality)]),28,theory(equality)]) ).
cnf(361,plain,
mult(X1,X2) = mult(X1,mult(X1,ld(X1,X2))),
inference(rw,[status(thm)],[339,25,theory(equality)]) ).
cnf(398,plain,
mult(mult(X1,ld(X1,X2)),ld(mult(X1,ld(X1,X2)),X3)) = mult(X1,ld(X1,X3)),
inference(spm,[status(thm)],[357,25,theory(equality)]) ).
cnf(402,plain,
mult(X1,ld(X1,ld(X1,X2))) = ld(X1,X2),
inference(spm,[status(thm)],[28,357,theory(equality)]) ).
cnf(412,plain,
mult(ld(X1,X2),mult(X1,ld(X1,X3))) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[361,357,theory(equality)]) ).
cnf(416,plain,
mult(X1,ld(X1,mult(X2,ld(mult(X1,ld(X1,X2)),X3)))) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[398,253,theory(equality)]) ).
cnf(433,plain,
mult(ld(X1,X2),X3) = mult(X1,ld(X1,mult(ld(X1,X2),X3))),
inference(spm,[status(thm)],[253,402,theory(equality)]) ).
cnf(435,plain,
ld(ld(X1,X2),X3) = mult(X1,ld(X1,ld(ld(X1,X2),X3))),
inference(spm,[status(thm)],[357,402,theory(equality)]) ).
cnf(508,plain,
mult(mult(X1,ld(X1,X2)),mult(X1,ld(X1,X3))) = mult(mult(X1,ld(X1,X2)),X3),
inference(spm,[status(thm)],[412,25,theory(equality)]) ).
cnf(522,plain,
mult(X1,ld(X1,mult(X2,mult(X1,ld(X1,X3))))) = mult(mult(X1,ld(X1,X2)),X3),
inference(rw,[status(thm)],[508,253,theory(equality)]) ).
cnf(523,plain,
mult(X1,ld(X1,mult(X2,mult(X1,ld(X1,X3))))) = mult(X1,ld(X1,mult(X2,X3))),
inference(rw,[status(thm)],[522,253,theory(equality)]) ).
cnf(585,plain,
ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(rw,[status(thm)],[96,435,theory(equality)]) ).
cnf(592,plain,
mult(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(spm,[status(thm)],[28,585,theory(equality)]) ).
cnf(639,plain,
mult(rd(ld(X1,X1),ld(X2,X2)),ld(X2,X2)) = mult(ld(X1,X1),mult(rd(ld(X1,X1),X2),X2)),
inference(spm,[status(thm)],[75,592,theory(equality)]) ).
cnf(649,plain,
mult(X1,ld(X1,ld(X2,X2))) = mult(ld(X1,X1),mult(rd(ld(X1,X1),X2),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[639,77,theory(equality)]),585,theory(equality)]) ).
cnf(650,plain,
mult(X1,ld(X1,ld(X2,X2))) = mult(ld(X1,X1),ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[649,77,theory(equality)]),412,theory(equality)]) ).
cnf(655,plain,
ld(ld(X1,X2),mult(X3,X4)) = ld(ld(X1,X2),mult(X1,ld(X1,mult(X3,X4)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[355,357,theory(equality)]),435,theory(equality)]) ).
cnf(659,plain,
ld(ld(X1,X2),mult(X1,ld(X1,X3))) = ld(ld(X1,X2),X3),
inference(spm,[status(thm)],[655,28,theory(equality)]) ).
cnf(929,plain,
mult(mult(X1,X2),X3) = mult(X1,ld(X1,mult(mult(X1,X2),X3))),
inference(rw,[status(thm)],[335,361,theory(equality)]) ).
cnf(1058,plain,
rd(mult(X1,ld(X1,X2)),ld(X2,X2)) = mult(rd(mult(X1,ld(X1,X2)),ld(X2,X2)),ld(X2,X2)),
inference(spm,[status(thm)],[336,28,theory(equality)]) ).
cnf(1095,plain,
rd(mult(X1,ld(X1,X2)),ld(X2,X2)) = mult(X1,mult(rd(ld(X1,X2),X2),X2)),
inference(rw,[status(thm)],[1058,75,theory(equality)]) ).
cnf(1177,plain,
mult(rd(mult(X1,X2),mult(ld(X3,X3),X3)),mult(ld(X3,X3),X3)) = mult(X1,mult(rd(X2,X3),X3)),
inference(spm,[status(thm)],[48,74,theory(equality)]) ).
cnf(1221,plain,
mult(rd(mult(X1,X2),X3),X3) = mult(X1,mult(rd(X2,X3),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1177,76,theory(equality)]),76,theory(equality)]) ).
cnf(1253,plain,
mult(rd(X1,X2),X2) = mult(X1,mult(rd(ld(X1,X1),X2),X2)),
inference(spm,[status(thm)],[1221,28,theory(equality)]) ).
cnf(1284,plain,
mult(X1,mult(rd(X2,rd(X3,X4)),rd(X3,X4))) = mult(X1,mult(rd(X2,X4),X4)),
inference(rw,[status(thm)],[45,1221,theory(equality)]) ).
cnf(1286,plain,
mult(rd(X1,X2),X2) = mult(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1253,77,theory(equality)]),361,theory(equality)]) ).
cnf(1306,plain,
ld(rd(X1,X2),mult(X1,ld(X2,X2))) = mult(rd(X1,X2),ld(rd(X1,X2),X2)),
inference(spm,[status(thm)],[25,1286,theory(equality)]) ).
cnf(1312,plain,
mult(mult(X1,X2),ld(X3,X3)) = mult(X1,mult(rd(X2,X3),X3)),
inference(rw,[status(thm)],[1221,1286,theory(equality)]) ).
cnf(1313,plain,
mult(mult(X1,X2),ld(X3,X3)) = mult(X1,mult(X2,ld(X3,X3))),
inference(rw,[status(thm)],[1312,1286,theory(equality)]) ).
cnf(1314,plain,
rd(mult(X1,ld(X1,X2)),ld(X2,X2)) = mult(X1,mult(ld(X1,X2),ld(X2,X2))),
inference(rw,[status(thm)],[1095,1286,theory(equality)]) ).
cnf(1327,negated_conjecture,
( mult(esk1_0,mult(esk2_0,ld(esk2_0,esk3_0))) != mult(esk1_0,esk3_0)
| mult(mult(esk1_0,ld(esk2_0,esk2_0)),esk3_0) != mult(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[59,1286,theory(equality)]) ).
cnf(1336,plain,
mult(X1,ld(X2,X2)) = mult(ld(X1,X1),mult(X1,ld(X2,X2))),
inference(spm,[status(thm)],[1313,76,theory(equality)]) ).
cnf(1338,plain,
mult(X1,mult(ld(X1,X2),ld(X3,X3))) = mult(X1,ld(X1,mult(X2,ld(X3,X3)))),
inference(spm,[status(thm)],[253,1313,theory(equality)]) ).
cnf(1395,plain,
ld(ld(X1,X1),mult(X1,ld(X2,X2))) = mult(ld(X1,X1),ld(ld(X1,X1),mult(X1,ld(X2,X2)))),
inference(spm,[status(thm)],[25,1336,theory(equality)]) ).
cnf(1412,plain,
ld(ld(X1,X1),mult(X1,ld(X2,X2))) = mult(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1395,357,theory(equality)]),25,theory(equality)]),361,theory(equality)]) ).
cnf(1549,plain,
ld(ld(X1,X1),mult(ld(X1,X1),ld(X2,X2))) = mult(ld(X1,X1),ld(X2,X2)),
inference(spm,[status(thm)],[1412,585,theory(equality)]) ).
cnf(1580,plain,
ld(ld(X1,X1),ld(X2,X2)) = mult(ld(X1,X1),ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1549,650,theory(equality)]),659,theory(equality)]) ).
cnf(1581,plain,
ld(ld(X1,X1),ld(X2,X2)) = mult(X1,ld(X1,ld(X2,X2))),
inference(rw,[status(thm)],[1580,650,theory(equality)]) ).
cnf(1765,plain,
mult(X1,mult(X2,ld(rd(X3,X4),rd(X3,X4)))) = mult(X1,mult(rd(X2,X4),X4)),
inference(rw,[status(thm)],[1284,1286,theory(equality)]) ).
cnf(1766,plain,
mult(X1,mult(X2,ld(rd(X3,X4),rd(X3,X4)))) = mult(X1,mult(X2,ld(X4,X4))),
inference(rw,[status(thm)],[1765,1286,theory(equality)]) ).
cnf(1768,plain,
mult(X1,rd(X2,X3)) = mult(X1,mult(rd(X2,X3),ld(X3,X3))),
inference(spm,[status(thm)],[1766,28,theory(equality)]) ).
cnf(1831,plain,
mult(ld(rd(X1,X2),rd(X1,X2)),rd(X1,X2)) = mult(rd(X1,X2),ld(X2,X2)),
inference(spm,[status(thm)],[1336,1768,theory(equality)]) ).
cnf(1852,plain,
rd(X1,X2) = mult(rd(X1,X2),ld(X2,X2)),
inference(rw,[status(thm)],[1831,76,theory(equality)]) ).
cnf(1872,plain,
mult(rd(X1,ld(X2,X2)),mult(X2,ld(X2,ld(X2,X2)))) = rd(X1,ld(X2,X2)),
inference(spm,[status(thm)],[1852,1581,theory(equality)]) ).
cnf(1890,plain,
mult(X1,ld(X2,X2)) = rd(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1872,60,theory(equality)]),1286,theory(equality)]),585,theory(equality)]) ).
cnf(2012,plain,
mult(X1,ld(X1,X2)) = mult(X1,mult(ld(X1,X2),ld(X2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1314,1890,theory(equality)]),253,theory(equality)]),28,theory(equality)]) ).
cnf(2013,plain,
ld(X1,mult(X1,ld(X1,X2))) = mult(X1,ld(X1,mult(ld(X1,X2),ld(X2,X2)))),
inference(spm,[status(thm)],[25,2012,theory(equality)]) ).
cnf(2032,plain,
ld(X1,X2) = mult(X1,ld(X1,mult(ld(X1,X2),ld(X2,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2013,25,theory(equality)]),402,theory(equality)]) ).
cnf(2033,plain,
ld(X1,X2) = mult(ld(X1,X2),ld(X2,X2)),
inference(rw,[status(thm)],[2032,433,theory(equality)]) ).
cnf(2058,plain,
ld(ld(X1,X2),ld(X1,X2)) = mult(ld(X1,X2),ld(ld(X1,X2),ld(X2,X2))),
inference(spm,[status(thm)],[25,2033,theory(equality)]) ).
cnf(2079,plain,
ld(ld(X1,X2),ld(X1,X2)) = mult(X1,ld(X1,ld(X2,X2))),
inference(rw,[status(thm)],[2058,357,theory(equality)]) ).
cnf(2851,plain,
ld(X1,mult(X1,mult(ld(X1,X2),ld(X3,X3)))) = mult(X1,ld(X1,ld(X1,mult(X2,ld(X3,X3))))),
inference(spm,[status(thm)],[25,1338,theory(equality)]) ).
cnf(2908,plain,
mult(ld(X1,X2),ld(X3,X3)) = mult(X1,ld(X1,ld(X1,mult(X2,ld(X3,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2851,25,theory(equality)]),433,theory(equality)]) ).
cnf(2909,plain,
mult(ld(X1,X2),ld(X3,X3)) = ld(X1,mult(X2,ld(X3,X3))),
inference(rw,[status(thm)],[2908,402,theory(equality)]) ).
cnf(2993,plain,
ld(X1,mult(X2,mult(X3,ld(X4,X4)))) = mult(ld(X1,mult(X2,X3)),ld(X4,X4)),
inference(spm,[status(thm)],[2909,1313,theory(equality)]) ).
cnf(3030,plain,
mult(ld(rd(X1,X2),X1),ld(X2,X2)) = mult(rd(X1,X2),ld(rd(X1,X2),X2)),
inference(rw,[status(thm)],[1306,2909,theory(equality)]) ).
cnf(4074,plain,
ld(X1,mult(X2,X3)) = mult(ld(X1,mult(X2,X3)),ld(X3,X3)),
inference(spm,[status(thm)],[2993,28,theory(equality)]) ).
cnf(4381,plain,
ld(X1,mult(X1,ld(X1,mult(X2,X3)))) = mult(X1,ld(X1,ld(X1,mult(X2,mult(X1,ld(X1,X3)))))),
inference(spm,[status(thm)],[25,523,theory(equality)]) ).
cnf(4433,plain,
ld(X1,mult(X2,X3)) = mult(X1,ld(X1,ld(X1,mult(X2,mult(X1,ld(X1,X3)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4381,25,theory(equality)]),402,theory(equality)]) ).
cnf(4434,plain,
ld(X1,mult(X2,X3)) = ld(X1,mult(X2,mult(X1,ld(X1,X3)))),
inference(rw,[status(thm)],[4433,402,theory(equality)]) ).
cnf(4527,plain,
mult(X1,ld(X1,mult(mult(X1,X2),X3))) = mult(mult(X1,X2),mult(X1,ld(X1,X3))),
inference(spm,[status(thm)],[929,4434,theory(equality)]) ).
cnf(4586,plain,
mult(mult(X1,X2),X3) = mult(mult(X1,X2),mult(X1,ld(X1,X3))),
inference(rw,[status(thm)],[4527,929,theory(equality)]) ).
cnf(5087,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)],[416,25,theory(equality)]) ).
cnf(5158,plain,
mult(mult(X1,X2),ld(mult(X1,X2),X3)) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5087,361,theory(equality)]),929,theory(equality)]) ).
cnf(5454,plain,
mult(mult(X1,ld(X2,X2)),ld(mult(X1,ld(X2,X2)),X3)) = mult(rd(X1,X2),ld(rd(X1,X2),X3)),
inference(spm,[status(thm)],[5158,1286,theory(equality)]) ).
cnf(5535,plain,
mult(X1,ld(X1,X3)) = mult(rd(X1,X2),ld(rd(X1,X2),X3)),
inference(rw,[status(thm)],[5454,5158,theory(equality)]) ).
cnf(6084,plain,
mult(ld(rd(X1,X2),X1),ld(X2,X2)) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[3030,5535,theory(equality)]) ).
cnf(6188,plain,
mult(ld(ld(rd(X1,X2),X1),ld(rd(X1,X2),X1)),mult(X1,ld(X1,X2))) = mult(X1,ld(X1,X2)),
inference(spm,[status(thm)],[1336,6084,theory(equality)]) ).
cnf(6218,plain,
mult(mult(X1,X2),ld(mult(X1,X2),X2)) = ld(rd(mult(X1,X2),X2),mult(X1,X2)),
inference(spm,[status(thm)],[4074,6084,theory(equality)]) ).
cnf(6233,plain,
mult(ld(X1,X1),X2) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6188,2079,theory(equality)]),5535,theory(equality)]),402,theory(equality)]),412,theory(equality)]) ).
cnf(6268,plain,
mult(X1,ld(X1,X2)) = ld(rd(mult(X1,X2),X2),mult(X1,X2)),
inference(rw,[status(thm)],[6218,5158,theory(equality)]) ).
cnf(6269,plain,
mult(X1,ld(X1,X2)) = ld(mult(X1,ld(X2,X2)),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6268,13,theory(equality)]),1286,theory(equality)]) ).
cnf(6307,plain,
mult(mult(X1,ld(X1,ld(X2,X2))),X3) = mult(ld(X1,X2),ld(ld(X1,X2),X3)),
inference(spm,[status(thm)],[6233,2079,theory(equality)]) ).
cnf(6400,plain,
mult(X1,ld(X1,mult(X2,ld(X2,X3)))) = mult(ld(X1,X2),ld(ld(X1,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6307,253,theory(equality)]),6233,theory(equality)]) ).
cnf(6401,plain,
mult(X1,ld(X1,mult(X2,ld(X2,X3)))) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[6400,357,theory(equality)]) ).
cnf(8980,plain,
mult(mult(X1,ld(X2,X2)),mult(X1,ld(X1,X2))) = mult(X1,ld(X1,mult(X1,X2))),
inference(spm,[status(thm)],[5158,6269,theory(equality)]) ).
cnf(9124,plain,
mult(mult(X1,ld(X2,X2)),X2) = mult(X1,ld(X1,mult(X1,X2))),
inference(rw,[status(thm)],[8980,4586,theory(equality)]) ).
cnf(9125,plain,
mult(mult(X1,ld(X2,X2)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9124,25,theory(equality)]),361,theory(equality)]) ).
cnf(9196,plain,
mult(mult(X1,mult(X2,ld(X3,X3))),X3) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[9125,1313,theory(equality)]) ).
cnf(9903,plain,
ld(X1,mult(X1,ld(X1,X3))) = mult(X1,ld(X1,ld(X1,mult(X2,ld(X2,X3))))),
inference(spm,[status(thm)],[25,6401,theory(equality)]) ).
cnf(9996,plain,
ld(X1,X3) = mult(X1,ld(X1,ld(X1,mult(X2,ld(X2,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9903,25,theory(equality)]),402,theory(equality)]) ).
cnf(9997,plain,
ld(X1,X3) = ld(X1,mult(X2,ld(X2,X3))),
inference(rw,[status(thm)],[9996,402,theory(equality)]) ).
cnf(10127,plain,
mult(X1,mult(X1,ld(X1,X3))) = mult(X1,mult(X2,ld(X2,X3))),
inference(spm,[status(thm)],[361,9997,theory(equality)]) ).
cnf(10239,plain,
mult(X1,X3) = mult(X1,mult(X2,ld(X2,X3))),
inference(rw,[status(thm)],[10127,361,theory(equality)]) ).
cnf(10420,negated_conjecture,
( $false
| mult(mult(esk1_0,ld(esk2_0,esk2_0)),esk3_0) != mult(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[1327,10239,theory(equality)]) ).
cnf(10421,negated_conjecture,
mult(mult(esk1_0,ld(esk2_0,esk2_0)),esk3_0) != mult(esk1_0,esk3_0),
inference(cn,[status(thm)],[10420,theory(equality)]) ).
cnf(12029,plain,
mult(mult(X1,mult(X2,ld(X2,ld(X3,X3)))),X3) = mult(mult(X1,ld(X2,X2)),X3),
inference(spm,[status(thm)],[9196,6233,theory(equality)]) ).
cnf(12089,plain,
mult(X1,X3) = mult(mult(X1,ld(X2,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12029,10239,theory(equality)]),9125,theory(equality)]) ).
cnf(12205,negated_conjecture,
$false,
inference(rw,[status(thm)],[10421,12089,theory(equality)]) ).
cnf(12206,negated_conjecture,
$false,
inference(cn,[status(thm)],[12205,theory(equality)]) ).
cnf(12207,negated_conjecture,
$false,
12206,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP683+1.p
% --creating new selector for []
% -running prover on /tmp/tmpEyvkoc/sel_GRP683+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP683+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP683+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP683+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
%
%------------------------------------------------------------------------------