%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP746+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 11:27:19 EST 2010
% Result : Theorem 95.60s
% Output : CNFRefutation 95.60s
% Verified :
% SZS Type : None (Could not find formula named theoryheory(equality))
% Syntax : Number of formulae : 178
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : mult(X1,unit) = X1,
file('/tmp/tmpz4Ec9p/sel_GRP746+1.p_2',f05) ).
fof(3,axiom,
! [X3,X2,X1] : mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
file('/tmp/tmpz4Ec9p/sel_GRP746+1.p_2',f07) ).
fof(4,axiom,
! [X1] : mult(unit,X1) = X1,
file('/tmp/tmpz4Ec9p/sel_GRP746+1.p_2',f06) ).
fof(5,axiom,
! [X2,X1] : mult(X1,ld(X1,X2)) = X2,
file('/tmp/tmpz4Ec9p/sel_GRP746+1.p_2',f01) ).
fof(6,conjecture,
mult(mult(a,b),c) = mult(a,mult(b,c)),
file('/tmp/tmpz4Ec9p/sel_GRP746+1.p_2',goals) ).
fof(7,axiom,
! [X2,X1] : mult(rd(X1,X2),X2) = X1,
file('/tmp/tmpz4Ec9p/sel_GRP746+1.p_2',f03) ).
fof(8,axiom,
! [X2,X1] : ld(X1,mult(X1,X2)) = X2,
file('/tmp/tmpz4Ec9p/sel_GRP746+1.p_2',f02) ).
fof(9,axiom,
! [X4,X5,X6] :
( ( mult(mult(X4,X5),X6) = mult(X4,mult(X5,X6))
& mult(mult(X4,X6),X5) = mult(X4,mult(X6,X5)) )
| ( mult(mult(X4,X5),X6) = mult(mult(X4,X6),X5)
& mult(X4,mult(X5,X6)) = mult(X4,mult(X6,X5)) ) ),
file('/tmp/tmpz4Ec9p/sel_GRP746+1.p_2',f08) ).
fof(10,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(assume_negation,[status(cth)],[6]) ).
fof(11,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(12,plain,
! [X2] : mult(X2,unit) = X2,
inference(variable_rename,[status(thm)],[1]) ).
cnf(13,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[12]) ).
fof(16,plain,
! [X4,X5,X6] : mult(mult(mult(X6,X5),X4),X5) = mult(X6,mult(mult(X5,X4),X5)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(17,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
inference(split_conjunct,[status(thm)],[16]) ).
fof(18,plain,
! [X2] : mult(unit,X2) = X2,
inference(variable_rename,[status(thm)],[4]) ).
cnf(19,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,plain,
! [X3,X4] : mult(X4,ld(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[5]) ).
cnf(21,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[20]) ).
cnf(22,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(split_conjunct,[status(thm)],[11]) ).
fof(23,plain,
! [X3,X4] : mult(rd(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[7]) ).
cnf(24,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[23]) ).
fof(25,plain,
! [X3,X4] : ld(X4,mult(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[8]) ).
cnf(26,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
! [X7,X8,X9] :
( ( mult(mult(X7,X8),X9) = mult(X7,mult(X8,X9))
& mult(mult(X7,X9),X8) = mult(X7,mult(X9,X8)) )
| ( mult(mult(X7,X8),X9) = mult(mult(X7,X9),X8)
& mult(X7,mult(X8,X9)) = mult(X7,mult(X9,X8)) ) ),
inference(variable_rename,[status(thm)],[9]) ).
fof(28,plain,
! [X7,X8,X9] :
( ( mult(mult(X7,X8),X9) = mult(mult(X7,X9),X8)
| mult(mult(X7,X8),X9) = mult(X7,mult(X8,X9)) )
& ( mult(X7,mult(X8,X9)) = mult(X7,mult(X9,X8))
| mult(mult(X7,X8),X9) = mult(X7,mult(X8,X9)) )
& ( mult(mult(X7,X8),X9) = mult(mult(X7,X9),X8)
| mult(mult(X7,X9),X8) = mult(X7,mult(X9,X8)) )
& ( mult(X7,mult(X8,X9)) = mult(X7,mult(X9,X8))
| mult(mult(X7,X9),X8) = mult(X7,mult(X9,X8)) ) ),
inference(distribute,[status(thm)],[27]) ).
cnf(29,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(X1,mult(X3,X2)) = mult(X1,mult(X2,X3)) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(30,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X3),X2) = mult(mult(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(33,plain,
X1 = ld(unit,X1),
inference(spm,[status(thm)],[19,21,theory(equality)]) ).
cnf(34,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[26,13,theory(equality)]) ).
cnf(43,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(mult(X2,unit),X2)),
inference(spm,[status(thm)],[17,13,theory(equality)]) ).
cnf(45,plain,
mult(mult(X2,X3),ld(X1,X2)) = mult(X1,mult(mult(ld(X1,X2),X3),ld(X1,X2))),
inference(spm,[status(thm)],[17,21,theory(equality)]) ).
cnf(46,plain,
mult(X3,X2) = mult(X1,mult(mult(X2,ld(mult(X1,X2),X3)),X2)),
inference(spm,[status(thm)],[17,21,theory(equality)]) ).
cnf(48,plain,
mult(mult(X1,X3),X2) = mult(rd(X1,X2),mult(mult(X2,X3),X2)),
inference(spm,[status(thm)],[17,24,theory(equality)]) ).
cnf(56,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[43,13,theory(equality)]) ).
cnf(58,plain,
( mult(mult(X4,X5),X6) = mult(X4,mult(X5,X6))
| mult(X4,mult(X6,X5)) != mult(mult(X4,X5),X6) ),
inference(ef,[status(thm)],[29,theory(equality)]) ).
cnf(68,plain,
( ld(X1,mult(X1,mult(X3,X2))) = mult(X2,X3)
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
inference(spm,[status(thm)],[26,29,theory(equality)]) ).
cnf(84,negated_conjecture,
mult(a,mult(b,c)) = mult(a,mult(c,b)),
inference(spm,[status(thm)],[22,29,theory(equality)]) ).
cnf(131,plain,
( mult(X3,X2) = mult(X2,X3)
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
inference(rw,[status(thm)],[68,26,theory(equality)]) ).
cnf(135,plain,
( mult(mult(X4,X5),X6) = mult(X4,mult(X5,X6))
| mult(mult(X4,X6),X5) != mult(X4,mult(X5,X6)) ),
inference(ef,[status(thm)],[30,theory(equality)]) ).
cnf(137,plain,
( mult(mult(X9,X10),X11) = mult(mult(X9,X11),X10)
| mult(X9,mult(X10,X11)) != mult(mult(X9,X11),X10) ),
inference(ef,[status(thm)],[30,theory(equality)]) ).
cnf(145,plain,
( mult(X2,X3) = mult(mult(X1,X3),ld(X1,X2))
| mult(X2,X3) = mult(X1,mult(ld(X1,X2),X3)) ),
inference(spm,[status(thm)],[30,21,theory(equality)]) ).
cnf(258,negated_conjecture,
ld(a,mult(a,mult(b,c))) = mult(c,b),
inference(spm,[status(thm)],[26,84,theory(equality)]) ).
cnf(264,negated_conjecture,
mult(b,c) = mult(c,b),
inference(rw,[status(thm)],[258,26,theory(equality)]) ).
cnf(265,negated_conjecture,
ld(c,mult(b,c)) = b,
inference(spm,[status(thm)],[26,264,theory(equality)]) ).
cnf(267,negated_conjecture,
mult(mult(mult(b,c),X1),b) = mult(c,mult(mult(b,X1),b)),
inference(spm,[status(thm)],[17,264,theory(equality)]) ).
cnf(501,plain,
( mult(X2,X3) = mult(X1,mult(ld(X1,X2),X3))
| mult(X1,mult(X3,ld(X1,X2))) != mult(X2,X3) ),
inference(spm,[status(thm)],[58,21,theory(equality)]) ).
cnf(531,plain,
( mult(mult(X1,X3),X2) = mult(X1,mult(X2,X3))
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(X1,mult(X3,X2)) != mult(mult(X1,X3),X2) ),
inference(spm,[status(thm)],[58,30,theory(equality)]) ).
cnf(913,plain,
ld(X1,mult(mult(X2,X3),ld(X1,X2))) = mult(mult(ld(X1,X2),X3),ld(X1,X2)),
inference(spm,[status(thm)],[26,45,theory(equality)]) ).
cnf(1134,plain,
( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1)
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[501,21,theory(equality)]) ).
cnf(1191,plain,
( mult(X1,mult(ld(X1,unit),X1)) = mult(unit,X1)
| X1 != mult(unit,X1) ),
inference(spm,[status(thm)],[1134,13,theory(equality)]) ).
cnf(1220,plain,
( mult(X1,mult(ld(X1,unit),X1)) = X1
| X1 != mult(unit,X1) ),
inference(rw,[status(thm)],[1191,19,theory(equality)]) ).
cnf(1221,plain,
( mult(X1,mult(ld(X1,unit),X1)) = X1
| $false ),
inference(rw,[status(thm)],[1220,19,theory(equality)]) ).
cnf(1222,plain,
mult(X1,mult(ld(X1,unit),X1)) = X1,
inference(cn,[status(thm)],[1221,theory(equality)]) ).
cnf(1428,plain,
ld(X1,mult(X3,X2)) = mult(mult(X2,ld(mult(X1,X2),X3)),X2),
inference(spm,[status(thm)],[26,46,theory(equality)]) ).
cnf(1509,plain,
ld(X1,X1) = mult(ld(X1,unit),X1),
inference(spm,[status(thm)],[26,1222,theory(equality)]) ).
cnf(1537,plain,
unit = mult(ld(X1,unit),X1),
inference(rw,[status(thm)],[1509,34,theory(equality)]) ).
cnf(1563,plain,
mult(mult(unit,X2),X1) = mult(ld(X1,unit),mult(mult(X1,X2),X1)),
inference(spm,[status(thm)],[17,1537,theory(equality)]) ).
cnf(1583,plain,
( mult(mult(X1,ld(X2,unit)),X2) = mult(X1,unit)
| mult(mult(X1,X2),ld(X2,unit)) != mult(X1,unit) ),
inference(spm,[status(thm)],[135,1537,theory(equality)]) ).
cnf(1598,plain,
mult(X2,X1) = mult(ld(X1,unit),mult(mult(X1,X2),X1)),
inference(rw,[status(thm)],[1563,19,theory(equality)]) ).
cnf(1619,plain,
( mult(mult(X1,ld(X2,unit)),X2) = X1
| mult(mult(X1,X2),ld(X2,unit)) != mult(X1,unit) ),
inference(rw,[status(thm)],[1583,13,theory(equality)]) ).
cnf(1620,plain,
( mult(mult(X1,ld(X2,unit)),X2) = X1
| mult(mult(X1,X2),ld(X2,unit)) != X1 ),
inference(rw,[status(thm)],[1619,13,theory(equality)]) ).
cnf(2558,plain,
mult(mult(X1,X2),ld(X2,unit)) = mult(rd(X1,ld(X2,unit)),mult(unit,ld(X2,unit))),
inference(spm,[status(thm)],[48,1537,theory(equality)]) ).
cnf(2670,plain,
mult(mult(X1,X2),ld(X2,unit)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2558,19,theory(equality)]),24,theory(equality)]) ).
cnf(2700,plain,
ld(mult(X1,X2),X1) = ld(X2,unit),
inference(spm,[status(thm)],[26,2670,theory(equality)]) ).
cnf(2712,plain,
mult(mult(X1,mult(X2,X2)),ld(X2,unit)) = mult(X1,X2),
inference(spm,[status(thm)],[2670,56,theory(equality)]) ).
cnf(2773,plain,
( mult(mult(X1,ld(X2,unit)),X2) = X1
| $false ),
inference(rw,[status(thm)],[1620,2670,theory(equality)]) ).
cnf(2774,plain,
mult(mult(X1,ld(X2,unit)),X2) = X1,
inference(cn,[status(thm)],[2773,theory(equality)]) ).
cnf(2864,plain,
ld(X2,X1) = ld(ld(X1,X2),unit),
inference(spm,[status(thm)],[2700,21,theory(equality)]) ).
cnf(2921,plain,
mult(ld(X1,X2),ld(X2,X1)) = unit,
inference(spm,[status(thm)],[21,2864,theory(equality)]) ).
cnf(2934,plain,
mult(mult(X1,ld(X2,X3)),ld(X3,X2)) = X1,
inference(spm,[status(thm)],[2670,2864,theory(equality)]) ).
cnf(6315,plain,
( mult(mult(mult(X1,ld(X2,unit)),X3),X2) = mult(X1,X3)
| mult(mult(X1,ld(X2,unit)),mult(X3,X2)) != mult(X1,X3) ),
inference(spm,[status(thm)],[137,2774,theory(equality)]) ).
cnf(6888,plain,
( mult(mult(X1,mult(X2,X3)),ld(X3,unit)) = mult(X1,X2)
| mult(X3,X2) = mult(X2,X3) ),
inference(spm,[status(thm)],[2670,131,theory(equality)]) ).
cnf(8493,plain,
mult(ld(X1,unit),mult(X2,X1)) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[1598,21,theory(equality)]) ).
cnf(8494,plain,
ld(ld(X1,unit),mult(X2,X1)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[26,1598,theory(equality)]) ).
cnf(9700,plain,
ld(ld(X1,unit),X2) = mult(mult(X1,mult(X2,ld(X1,unit))),X1),
inference(spm,[status(thm)],[8494,2774,theory(equality)]) ).
cnf(11054,plain,
ld(ld(X2,X1),X3) = mult(mult(ld(X1,X2),mult(X3,ld(X2,X1))),ld(X1,X2)),
inference(spm,[status(thm)],[9700,2864,theory(equality)]) ).
cnf(41025,plain,
mult(ld(X2,mult(X3,X1)),ld(X1,unit)) = mult(X1,ld(mult(X2,X1),X3)),
inference(spm,[status(thm)],[2670,1428,theory(equality)]) ).
cnf(56018,plain,
( mult(mult(mult(X1,ld(ld(X2,X3),unit)),X2),ld(X2,X3)) = mult(X1,X2)
| mult(mult(X1,ld(ld(X2,X3),unit)),X3) != mult(X1,X2) ),
inference(spm,[status(thm)],[6315,21,theory(equality)]) ).
cnf(56294,plain,
( mult(mult(mult(X1,ld(X3,X2)),X2),ld(X2,X3)) = mult(X1,X2)
| mult(mult(X1,ld(ld(X2,X3),unit)),X3) != mult(X1,X2) ),
inference(rw,[status(thm)],[56018,2864,theory(equality)]) ).
cnf(56295,plain,
( mult(mult(mult(X1,ld(X3,X2)),X2),ld(X2,X3)) = mult(X1,X2)
| mult(mult(X1,ld(X3,X2)),X3) != mult(X1,X2) ),
inference(rw,[status(thm)],[56294,2864,theory(equality)]) ).
cnf(75685,plain,
ld(X1,mult(ld(X2,mult(X3,X1)),ld(X1,unit))) = ld(mult(X2,X1),X3),
inference(spm,[status(thm)],[26,41025,theory(equality)]) ).
cnf(78116,plain,
( mult(mult(X1,X3),ld(X3,X2)) = mult(mult(X1,ld(ld(X2,X3),unit)),X3)
| mult(X1,X2) != mult(mult(X1,ld(ld(X2,X3),unit)),X3) ),
inference(spm,[status(thm)],[56295,2774,theory(equality)]) ).
cnf(78225,plain,
( mult(mult(X1,X3),ld(X3,X2)) = mult(mult(X1,ld(X3,X2)),X3)
| mult(X1,X2) != mult(mult(X1,ld(ld(X2,X3),unit)),X3) ),
inference(rw,[status(thm)],[78116,2864,theory(equality)]) ).
cnf(78226,plain,
( mult(mult(X1,X3),ld(X3,X2)) = mult(mult(X1,ld(X3,X2)),X3)
| mult(X1,X2) != mult(mult(X1,ld(X3,X2)),X3) ),
inference(rw,[status(thm)],[78225,2864,theory(equality)]) ).
cnf(78377,negated_conjecture,
( mult(mult(X1,b),c) = mult(mult(X1,c),b)
| mult(mult(X1,b),c) != mult(X1,mult(b,c)) ),
inference(spm,[status(thm)],[78226,265,theory(equality)]) ).
cnf(85870,negated_conjecture,
mult(mult(X1,c),b) = mult(mult(X1,b),c),
inference(csr,[status(thm)],[78377,30]) ).
cnf(85876,negated_conjecture,
mult(mult(X1,mult(mult(c,X2),c)),b) = mult(mult(mult(mult(X1,c),X2),b),c),
inference(spm,[status(thm)],[85870,17,theory(equality)]) ).
cnf(85881,negated_conjecture,
mult(mult(mult(X1,b),c),ld(b,unit)) = mult(X1,c),
inference(spm,[status(thm)],[2670,85870,theory(equality)]) ).
cnf(89593,negated_conjecture,
mult(mult(X1,c),ld(b,unit)) = mult(mult(X1,ld(b,unit)),c),
inference(spm,[status(thm)],[85881,2774,theory(equality)]) ).
cnf(90371,negated_conjecture,
mult(mult(mult(X1,c),ld(b,unit)),ld(c,unit)) = mult(X1,ld(b,unit)),
inference(spm,[status(thm)],[2670,89593,theory(equality)]) ).
cnf(95724,plain,
ld(X1,mult(X2,ld(X1,unit))) = mult(mult(ld(X1,unit),X2),ld(X1,unit)),
inference(spm,[status(thm)],[913,19,theory(equality)]) ).
cnf(96152,plain,
ld(X1,mult(X2,X1)) = mult(mult(ld(X1,unit),mult(X2,mult(X1,X1))),ld(X1,unit)),
inference(spm,[status(thm)],[95724,2712,theory(equality)]) ).
cnf(116403,plain,
( mult(X6,mult(ld(X6,X4),X5)) = mult(X4,X5)
| mult(mult(X6,X5),ld(X6,X4)) != mult(X6,mult(ld(X6,X4),X5)) ),
inference(ef,[status(thm)],[145,theory(equality)]) ).
cnf(119802,plain,
( mult(X1,mult(ld(X1,X2),X1)) = mult(unit,mult(X2,X1))
| mult(mult(X1,mult(X2,X1)),ld(X1,unit)) != mult(X1,mult(ld(X1,X2),X1)) ),
inference(spm,[status(thm)],[116403,8493,theory(equality)]) ).
cnf(120097,plain,
( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1)
| mult(mult(X1,mult(X2,X1)),ld(X1,unit)) != mult(X1,mult(ld(X1,X2),X1)) ),
inference(rw,[status(thm)],[119802,19,theory(equality)]) ).
cnf(192513,negated_conjecture,
mult(mult(c,mult(mult(b,X1),b)),c) = mult(mult(b,mult(mult(c,X1),c)),b),
inference(spm,[status(thm)],[85876,267,theory(equality)]) ).
cnf(206740,negated_conjecture,
mult(mult(X1,ld(b,unit)),ld(c,unit)) = mult(mult(X1,ld(c,unit)),ld(b,unit)),
inference(spm,[status(thm)],[90371,2774,theory(equality)]) ).
cnf(352457,plain,
( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1)
| mult(X1,X2) = mult(X2,X1)
| mult(X1,X2) != mult(X1,mult(ld(X1,X2),X1)) ),
inference(spm,[status(thm)],[120097,6888,theory(equality)]) ).
cnf(436651,plain,
( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1)
| mult(X1,mult(ld(X1,X2),X1)) != mult(X1,X2) ),
inference(csr,[status(thm)],[352457,1134]) ).
cnf(436654,plain,
( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1)
| mult(X1,mult(X2,X1)) != mult(X1,mult(X1,X2)) ),
inference(spm,[status(thm)],[436651,26,theory(equality)]) ).
cnf(437022,plain,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(csr,[status(thm)],[436654,29]) ).
cnf(437026,plain,
mult(X2,X1) = mult(X1,mult(ld(X1,X2),X1)),
inference(spm,[status(thm)],[437022,21,theory(equality)]) ).
cnf(437112,negated_conjecture,
mult(mult(c,mult(X1,c)),b) = mult(mult(mult(c,X1),b),c),
inference(spm,[status(thm)],[85870,437022,theory(equality)]) ).
cnf(437126,negated_conjecture,
mult(mult(mult(b,mult(X1,b)),c),ld(b,unit)) = mult(mult(b,X1),c),
inference(spm,[status(thm)],[85881,437022,theory(equality)]) ).
cnf(437347,plain,
mult(mult(ld(X1,X2),X1),ld(X1,unit)) = mult(ld(X1,unit),mult(mult(X2,X1),ld(X1,unit))),
inference(spm,[status(thm)],[437022,8493,theory(equality)]) ).
cnf(437363,plain,
( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2))
| mult(X1,mult(X2,X1)) != mult(X1,mult(X1,X2)) ),
inference(spm,[status(thm)],[135,437022,theory(equality)]) ).
cnf(437924,negated_conjecture,
mult(b,mult(mult(c,mult(X1,c)),b)) = mult(mult(c,mult(mult(b,X1),b)),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[192513,437022,theory(equality)]),437022,theory(equality)]) ).
cnf(437925,negated_conjecture,
mult(b,mult(mult(c,mult(X1,c)),b)) = mult(c,mult(mult(b,mult(X1,b)),c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[437924,437022,theory(equality)]),437022,theory(equality)]) ).
cnf(438312,plain,
ld(X1,X2) = mult(ld(X1,unit),mult(mult(X2,X1),ld(X1,unit))),
inference(rw,[status(thm)],[437347,2670,theory(equality)]) ).
cnf(438313,plain,
ld(X1,X2) = mult(ld(X1,unit),X2),
inference(rw,[status(thm)],[438312,2670,theory(equality)]) ).
cnf(439647,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(csr,[status(thm)],[437363,29]) ).
cnf(439651,plain,
mult(X1,mult(X1,ld(mult(X1,X1),X2))) = X2,
inference(spm,[status(thm)],[21,439647,theory(equality)]) ).
cnf(440418,plain,
mult(X1,mult(ld(X1,unit),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)],[inference(rw,[status(thm)],[439651,75685,theory(equality)]),96152,theory(equality)]),437022,theory(equality)]),2712,theory(equality)]),437022,theory(equality)]),2670,theory(equality)]),21,theory(equality)]) ).
cnf(441584,negated_conjecture,
mult(mult(mult(c,mult(X1,c)),b),ld(c,unit)) = mult(mult(c,X1),b),
inference(spm,[status(thm)],[2670,437112,theory(equality)]) ).
cnf(449377,plain,
mult(ld(X1,X2),ld(X2,unit)) = ld(X1,unit),
inference(spm,[status(thm)],[2670,438313,theory(equality)]) ).
cnf(449379,plain,
mult(ld(X1,X2),mult(ld(X2,unit),X1)) = unit,
inference(spm,[status(thm)],[2921,438313,theory(equality)]) ).
cnf(449755,plain,
mult(ld(X1,unit),mult(X1,X2)) = X2,
inference(rw,[status(thm)],[26,438313,theory(equality)]) ).
cnf(450180,plain,
mult(ld(ld(X1,X2),unit),mult(ld(X1,unit),mult(X2,X1))) = X1,
inference(spm,[status(thm)],[449755,8493,theory(equality)]) ).
cnf(450855,plain,
mult(ld(X2,X1),mult(ld(X1,unit),mult(X2,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[450180,11054,theory(equality)]),19,theory(equality)]),2921,theory(equality)]),19,theory(equality)]) ).
cnf(451321,plain,
mult(X1,mult(X2,ld(X1,unit))) = mult(ld(ld(X1,unit),X2),ld(X1,unit)),
inference(spm,[status(thm)],[440418,437026,theory(equality)]) ).
cnf(451578,plain,
mult(X1,mult(X2,ld(X1,unit))) = mult(mult(X1,X2),ld(X1,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[451321,11054,theory(equality)]),33,theory(equality)]),33,theory(equality)]),437022,theory(equality)]),2774,theory(equality)]) ).
cnf(457244,negated_conjecture,
mult(b,mult(mult(X1,c),b)) = mult(c,mult(mult(b,mult(ld(c,X1),b)),c)),
inference(spm,[status(thm)],[437925,437026,theory(equality)]) ).
cnf(457578,negated_conjecture,
mult(b,mult(mult(X1,b),c)) = mult(c,mult(mult(b,mult(ld(c,X1),b)),c)),
inference(rw,[status(thm)],[457244,85870,theory(equality)]) ).
cnf(465384,plain,
mult(unit,ld(mult(ld(X2,unit),X1),unit)) = ld(X1,X2),
inference(spm,[status(thm)],[2670,449379,theory(equality)]) ).
cnf(465769,plain,
ld(mult(ld(X2,unit),X1),unit) = ld(X1,X2),
inference(rw,[status(thm)],[465384,19,theory(equality)]) ).
cnf(466725,plain,
ld(mult(ld(X1,unit),X2),X3) = mult(ld(X2,X1),X3),
inference(spm,[status(thm)],[438313,465769,theory(equality)]) ).
cnf(476623,plain,
mult(X1,mult(ld(X1,X2),ld(X2,unit))) = unit,
inference(spm,[status(thm)],[21,449377,theory(equality)]) ).
cnf(477612,plain,
mult(unit,ld(mult(ld(X1,X2),ld(X2,unit)),unit)) = X1,
inference(spm,[status(thm)],[2670,476623,theory(equality)]) ).
cnf(477923,plain,
ld(mult(ld(X1,X2),ld(X2,unit)),unit) = X1,
inference(rw,[status(thm)],[477612,19,theory(equality)]) ).
cnf(490307,plain,
ld(mult(ld(X1,X2),ld(X2,unit)),X3) = mult(X1,X3),
inference(spm,[status(thm)],[438313,477923,theory(equality)]) ).
cnf(529281,plain,
mult(X2,ld(mult(ld(X2,unit),mult(X1,X2)),unit)) = ld(X1,X2),
inference(spm,[status(thm)],[2670,450855,theory(equality)]) ).
cnf(529984,plain,
mult(X2,ld(mult(X1,X2),X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[529281,466725,theory(equality)]),13,theory(equality)]) ).
cnf(530856,plain,
mult(X1,ld(mult(X1,mult(X2,X1)),X1)) = ld(mult(X1,X2),X1),
inference(spm,[status(thm)],[529984,437022,theory(equality)]) ).
cnf(531603,plain,
mult(X1,ld(mult(X1,mult(X2,X1)),X1)) = ld(X2,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[530856,75685,theory(equality)]),438313,theory(equality)]),449755,theory(equality)]),21,theory(equality)]) ).
cnf(538290,plain,
mult(ld(X1,X2),ld(mult(ld(X1,X2),X3),ld(X1,X2))) = ld(mult(X3,ld(X2,X1)),unit),
inference(spm,[status(thm)],[531603,2934,theory(equality)]) ).
cnf(538965,plain,
mult(ld(X1,X2),ld(X3,unit)) = ld(mult(X3,ld(X2,X1)),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[538290,438313,theory(equality)]),75685,theory(equality)]),19,theory(equality)]),11054,theory(equality)]),437022,theory(equality)]),2934,theory(equality)]),2670,theory(equality)]),438313,theory(equality)]),2934,theory(equality)]) ).
cnf(541478,negated_conjecture,
ld(mult(mult(X1,ld(b,unit)),ld(c,unit)),unit) = mult(ld(unit,b),ld(mult(X1,ld(c,unit)),unit)),
inference(spm,[status(thm)],[538965,206740,theory(equality)]) ).
cnf(541492,plain,
mult(ld(X3,X2),ld(ld(X1,unit),unit)) = mult(ld(ld(X2,X3),X1),unit),
inference(spm,[status(thm)],[466725,538965,theory(equality)]) ).
cnf(541788,negated_conjecture,
mult(c,mult(b,ld(X1,unit))) = mult(ld(unit,b),ld(mult(X1,ld(c,unit)),unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[541478,538965,theory(equality)]),33,theory(equality)]),75685,theory(equality)]),19,theory(equality)]),438313,theory(equality)]),2864,theory(equality)]),33,theory(equality)]),2774,theory(equality)]),438313,theory(equality)]),2864,theory(equality)]),33,theory(equality)]) ).
cnf(541789,negated_conjecture,
mult(c,mult(b,ld(X1,unit))) = mult(b,mult(c,ld(X1,unit))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[541788,33,theory(equality)]),75685,theory(equality)]),19,theory(equality)]),438313,theory(equality)]),2864,theory(equality)]),33,theory(equality)]),2774,theory(equality)]),438313,theory(equality)]),2864,theory(equality)]),33,theory(equality)]) ).
cnf(541802,plain,
mult(ld(X3,X2),X1) = mult(ld(ld(X2,X3),X1),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[541492,2864,theory(equality)]),33,theory(equality)]) ).
cnf(541803,plain,
mult(ld(X3,X2),X1) = ld(ld(X2,X3),X1),
inference(rw,[status(thm)],[541802,13,theory(equality)]) ).
cnf(542094,negated_conjecture,
mult(c,mult(b,mult(X1,unit))) = mult(b,mult(c,mult(X1,unit))),
inference(spm,[status(thm)],[541789,490307,theory(equality)]) ).
cnf(542303,negated_conjecture,
mult(c,mult(b,X1)) = mult(b,mult(c,mult(X1,unit))),
inference(rw,[status(thm)],[542094,13,theory(equality)]) ).
cnf(542304,negated_conjecture,
mult(c,mult(b,X1)) = mult(b,mult(c,X1)),
inference(rw,[status(thm)],[542303,13,theory(equality)]) ).
cnf(542453,negated_conjecture,
mult(mult(b,mult(c,X1)),c) = mult(c,mult(mult(b,X1),c)),
inference(spm,[status(thm)],[437022,542304,theory(equality)]) ).
cnf(542455,negated_conjecture,
mult(c,X1) = mult(b,mult(c,mult(ld(b,unit),X1))),
inference(spm,[status(thm)],[542304,440418,theory(equality)]) ).
cnf(542495,negated_conjecture,
( mult(c,mult(ld(c,X1),b)) = mult(X1,b)
| mult(b,mult(c,ld(c,X1))) != mult(X1,b) ),
inference(spm,[status(thm)],[501,542304,theory(equality)]) ).
cnf(542823,negated_conjecture,
( mult(c,mult(ld(c,X1),b)) = mult(X1,b)
| mult(b,X1) != mult(X1,b) ),
inference(rw,[status(thm)],[542495,21,theory(equality)]) ).
cnf(547614,negated_conjecture,
mult(ld(b,unit),mult(c,X1)) = mult(c,mult(ld(b,unit),X1)),
inference(spm,[status(thm)],[449755,542455,theory(equality)]) ).
cnf(548027,negated_conjecture,
mult(ld(b,unit),X1) = mult(c,mult(ld(b,unit),ld(c,X1))),
inference(spm,[status(thm)],[547614,21,theory(equality)]) ).
cnf(768441,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X3),X2) != mult(X1,mult(X3,X2)) ),
inference(csr,[status(thm)],[531,135]) ).
cnf(768447,negated_conjecture,
( mult(mult(c,X1),b) = mult(c,mult(X1,b))
| mult(mult(b,c),X1) != mult(c,mult(b,X1)) ),
inference(spm,[status(thm)],[768441,264,theory(equality)]) ).
cnf(769274,negated_conjecture,
( mult(mult(c,X1),b) = mult(c,mult(X1,b))
| mult(mult(b,c),X1) != mult(b,mult(c,X1)) ),
inference(rw,[status(thm)],[768447,542304,theory(equality)]) ).
cnf(779869,negated_conjecture,
( mult(mult(c,X1),b) = mult(c,mult(X1,b))
| mult(X1,c) = mult(c,X1) ),
inference(spm,[status(thm)],[769274,131,theory(equality)]) ).
cnf(789510,negated_conjecture,
( mult(X1,b) = mult(c,mult(ld(c,X1),b))
| mult(ld(c,X1),c) = X1 ),
inference(spm,[status(thm)],[779869,21,theory(equality)]) ).
cnf(790274,negated_conjecture,
( mult(X1,b) = mult(mult(ld(c,X1),b),c)
| mult(c,mult(ld(c,X1),b)) = mult(X1,b) ),
inference(spm,[status(thm)],[85870,789510,theory(equality)]) ).
cnf(881701,negated_conjecture,
( mult(mult(c,mult(mult(X1,c),b)),ld(c,unit)) = mult(mult(c,X1),b)
| mult(b,mult(X1,c)) = mult(mult(X1,c),b) ),
inference(spm,[status(thm)],[441584,131,theory(equality)]) ).
cnf(882364,negated_conjecture,
( mult(c,mult(X1,b)) = mult(mult(c,X1),b)
| mult(b,mult(X1,c)) = mult(mult(X1,c),b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[881701,85870,theory(equality)]),451578,theory(equality)]),2670,theory(equality)]) ).
cnf(882365,negated_conjecture,
( mult(c,mult(X1,b)) = mult(mult(c,X1),b)
| mult(b,mult(X1,c)) = mult(mult(X1,b),c) ),
inference(rw,[status(thm)],[882364,85870,theory(equality)]) ).
cnf(1332858,negated_conjecture,
( mult(c,mult(ld(c,X1),b)) = mult(X1,b)
| mult(b,mult(ld(c,X1),c)) = mult(X1,b)
| mult(mult(c,ld(c,X1)),b) = mult(c,mult(ld(c,X1),b)) ),
inference(spm,[status(thm)],[790274,882365,theory(equality)]) ).
cnf(1333622,negated_conjecture,
( mult(c,mult(ld(c,X1),b)) = mult(X1,b)
| mult(b,mult(ld(c,X1),c)) = mult(X1,b)
| mult(X1,b) = mult(c,mult(ld(c,X1),b)) ),
inference(rw,[status(thm)],[1332858,21,theory(equality)]) ).
cnf(1333623,negated_conjecture,
( mult(c,mult(ld(c,X1),b)) = mult(X1,b)
| mult(b,mult(ld(c,X1),c)) = mult(X1,b) ),
inference(cn,[status(thm)],[1333622,theory(equality)]) ).
cnf(1339919,negated_conjecture,
( mult(b,X1) = mult(X1,b)
| mult(c,mult(ld(c,X1),b)) = mult(X1,b) ),
inference(spm,[status(thm)],[1333623,789510,theory(equality)]) ).
cnf(1340549,negated_conjecture,
mult(c,mult(ld(c,X1),b)) = mult(X1,b),
inference(csr,[status(thm)],[1339919,542823]) ).
cnf(1340574,negated_conjecture,
mult(mult(b,mult(X1,b)),c) = mult(c,mult(mult(b,mult(ld(c,X1),b)),c)),
inference(spm,[status(thm)],[542453,1340549,theory(equality)]) ).
cnf(1341024,negated_conjecture,
mult(mult(b,mult(X1,b)),c) = mult(b,mult(mult(X1,b),c)),
inference(rw,[status(thm)],[1340574,457578,theory(equality)]) ).
cnf(1342775,negated_conjecture,
mult(mult(b,mult(mult(X1,b),c)),ld(b,unit)) = mult(mult(b,X1),c),
inference(rw,[status(thm)],[437126,1341024,theory(equality)]) ).
cnf(1342776,negated_conjecture,
mult(b,mult(X1,c)) = mult(mult(b,X1),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1342775,451578,theory(equality)]),85881,theory(equality)]) ).
cnf(1343954,negated_conjecture,
mult(mult(b,c),X1) = mult(b,mult(c,X1)),
inference(spm,[status(thm)],[768441,1342776,theory(equality)]) ).
cnf(1344734,negated_conjecture,
mult(mult(b,mult(c,X1)),ld(X1,unit)) = mult(b,c),
inference(spm,[status(thm)],[2670,1343954,theory(equality)]) ).
cnf(1369038,negated_conjecture,
mult(mult(b,mult(ld(b,unit),X1)),ld(mult(ld(b,unit),ld(c,X1)),unit)) = mult(b,c),
inference(spm,[status(thm)],[1344734,548027,theory(equality)]) ).
cnf(1369617,negated_conjecture,
mult(X1,mult(mult(ld(X1,unit),b),c)) = mult(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1369038,440418,theory(equality)]),466725,theory(equality)]),541803,theory(equality)]),438313,theory(equality)]),85870,theory(equality)]),13,theory(equality)]) ).
cnf(1393515,negated_conjecture,
mult(X1,mult(b,c)) = mult(mult(ld(ld(X1,unit),unit),b),c),
inference(spm,[status(thm)],[440418,1369617,theory(equality)]) ).
cnf(1394156,negated_conjecture,
mult(X1,mult(b,c)) = mult(mult(X1,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1393515,2864,theory(equality)]),33,theory(equality)]) ).
cnf(1395935,negated_conjecture,
$false,
inference(rw,[status(thm)],[22,1394156,theory(equality)]) ).
cnf(1395936,negated_conjecture,
$false,
inference(cn,[status(thm)],[1395935,theory(equality)]) ).
cnf(1395937,negated_conjecture,
$false,
1395936,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP746+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpz4Ec9p/sel_GRP746+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpz4Ec9p/sel_GRP746+1.p_2 with time limit 80
% -prover status Theorem
% Problem GRP746+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP746+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP746+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
%
%------------------------------------------------------------------------------