%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP655+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 11:20:22 EST 2010
% Result : Theorem 104.71s
% Output : CNFRefutation 104.71s
% Verified :
% SZS Type : None (Could not find formula named 582515(equality))
% Syntax : Number of formulae : 115
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] : mult(X3,mult(X2,mult(X1,X2))) = mult(mult(mult(X3,X2),X1),X2),
file('/tmp/tmplh-Zx5/sel_GRP655+3.p_2',f05) ).
fof(2,axiom,
! [X2,X3] : rd(mult(X3,X2),X2) = X3,
file('/tmp/tmplh-Zx5/sel_GRP655+3.p_2',f04) ).
fof(3,axiom,
! [X2,X3] : mult(X3,ld(X3,X2)) = X2,
file('/tmp/tmplh-Zx5/sel_GRP655+3.p_2',f01) ).
fof(4,conjecture,
! [X4,X5] :
( mult(X4,ld(X5,X5)) = X4
& mult(ld(X5,X5),X4) = X4 ),
file('/tmp/tmplh-Zx5/sel_GRP655+3.p_2',goals) ).
fof(5,axiom,
! [X2,X3] : mult(rd(X3,X2),X2) = X3,
file('/tmp/tmplh-Zx5/sel_GRP655+3.p_2',f03) ).
fof(6,axiom,
! [X2,X3] : ld(X3,mult(X3,X2)) = X2,
file('/tmp/tmplh-Zx5/sel_GRP655+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(X4,X5))) = mult(mult(mult(X6,X5),X4),X5),
inference(variable_rename,[status(thm)],[1]) ).
cnf(9,plain,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
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(mult(X2,X3),ld(X1,X2)) = mult(X1,mult(ld(X1,X2),mult(X3,ld(X1,X2)))),
inference(spm,[status(thm)],[9,13,theory(equality)]) ).
cnf(25,plain,
mult(X3,X2) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X3),X2))),
inference(spm,[status(thm)],[9,13,theory(equality)]) ).
cnf(26,plain,
ld(mult(mult(X1,X2),X3),mult(X1,mult(X2,mult(X3,X2)))) = X2,
inference(spm,[status(thm)],[21,9,theory(equality)]) ).
cnf(27,plain,
mult(mult(X1,X3),X2) = mult(rd(X1,X2),mult(X2,mult(X3,X2))),
inference(spm,[status(thm)],[9,19,theory(equality)]) ).
cnf(40,plain,
ld(X1,mult(mult(X2,X3),ld(X1,X2))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))),
inference(spm,[status(thm)],[21,24,theory(equality)]) ).
cnf(42,plain,
mult(X1,mult(ld(X1,X2),X3)) = mult(mult(X2,rd(X3,ld(X1,X2))),ld(X1,X2)),
inference(spm,[status(thm)],[24,19,theory(equality)]) ).
cnf(63,plain,
ld(X1,mult(X3,X2)) = mult(X2,mult(ld(mult(X1,X2),X3),X2)),
inference(spm,[status(thm)],[21,25,theory(equality)]) ).
cnf(78,plain,
mult(ld(X1,X2),mult(ld(X2,X3),ld(X1,X2))) = ld(X1,mult(X3,ld(X1,X2))),
inference(spm,[status(thm)],[63,13,theory(equality)]) ).
cnf(79,plain,
ld(X1,ld(X2,mult(X3,X1))) = mult(ld(mult(X2,X1),X3),X1),
inference(spm,[status(thm)],[21,63,theory(equality)]) ).
cnf(82,plain,
rd(ld(X2,mult(X3,X1)),mult(ld(mult(X2,X1),X3),X1)) = X1,
inference(spm,[status(thm)],[11,63,theory(equality)]) ).
cnf(95,plain,
ld(X1,X1) = mult(ld(mult(X2,X1),X2),X1),
inference(spm,[status(thm)],[79,21,theory(equality)]) ).
cnf(96,plain,
ld(X1,ld(X2,X3)) = mult(ld(mult(X2,X1),rd(X3,X1)),X1),
inference(spm,[status(thm)],[79,19,theory(equality)]) ).
cnf(98,plain,
ld(X1,X3) = mult(ld(mult(rd(mult(X2,X1),X3),X1),X2),X1),
inference(spm,[status(thm)],[79,22,theory(equality)]) ).
cnf(107,plain,
mult(ld(X2,X1),ld(X1,X2)) = ld(ld(X1,X2),ld(X1,X2)),
inference(spm,[status(thm)],[95,13,theory(equality)]) ).
cnf(110,plain,
rd(ld(X2,X2),X2) = ld(mult(X1,X2),X1),
inference(spm,[status(thm)],[11,95,theory(equality)]) ).
cnf(169,plain,
ld(mult(X3,X1),X3) = ld(mult(X2,X1),X2),
inference(spm,[status(thm)],[110,110,theory(equality)]) ).
cnf(218,plain,
ld(X2,X1) = ld(mult(X3,ld(X1,X2)),X3),
inference(spm,[status(thm)],[169,13,theory(equality)]) ).
cnf(220,plain,
ld(X1,rd(X1,X2)) = ld(mult(X3,X2),X3),
inference(spm,[status(thm)],[169,19,theory(equality)]) ).
cnf(264,plain,
mult(mult(X1,ld(X2,X3)),ld(X3,X2)) = X1,
inference(spm,[status(thm)],[13,218,theory(equality)]) ).
cnf(269,plain,
rd(X1,ld(X3,X2)) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[23,218,theory(equality)]) ).
cnf(277,plain,
ld(ld(ld(X2,X3),ld(X2,X3)),ld(mult(X1,ld(X2,X3)),X1)) = ld(X3,X2),
inference(spm,[status(thm)],[218,95,theory(equality)]) ).
cnf(291,plain,
ld(ld(ld(X2,X3),ld(X2,X3)),ld(X3,X2)) = ld(X3,X2),
inference(rw,[status(thm)],[277,218,theory(equality)]) ).
cnf(302,plain,
rd(X1,X3) = mult(X1,ld(mult(X2,X3),X2)),
inference(spm,[status(thm)],[269,21,theory(equality)]) ).
cnf(394,plain,
mult(mult(X1,X4),ld(X3,X2)) = mult(mult(X1,ld(X2,X3)),mult(ld(X3,X2),mult(X4,ld(X3,X2)))),
inference(spm,[status(thm)],[9,264,theory(equality)]) ).
cnf(403,plain,
mult(ld(X1,X2),mult(ld(X3,X4),ld(X1,X2))) = ld(mult(X3,ld(X2,X1)),mult(X4,ld(X1,X2))),
inference(spm,[status(thm)],[63,264,theory(equality)]) ).
cnf(477,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(mult(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[27,19,theory(equality)]) ).
cnf(500,plain,
mult(rd(X1,ld(X2,X3)),mult(ld(X2,X3),X4)) = mult(mult(X1,mult(X4,ld(X3,X2))),ld(X2,X3)),
inference(spm,[status(thm)],[27,264,theory(equality)]) ).
cnf(513,plain,
mult(mult(X1,ld(X3,X2)),mult(ld(X2,X3),X4)) = mult(mult(X1,mult(X4,ld(X3,X2))),ld(X2,X3)),
inference(rw,[status(thm)],[500,269,theory(equality)]) ).
cnf(551,plain,
mult(X1,rd(ld(X3,X3),X3)) = rd(X1,X3),
inference(spm,[status(thm)],[302,110,theory(equality)]) ).
cnf(1361,plain,
mult(mult(X2,mult(X3,ld(X2,X1))),ld(X1,X2)) = mult(X1,mult(ld(X1,X2),X3)),
inference(rw,[status(thm)],[42,269,theory(equality)]) ).
cnf(1362,plain,
mult(mult(X1,X2),ld(X2,X1)) = mult(X2,mult(ld(X2,X1),X1)),
inference(spm,[status(thm)],[1361,13,theory(equality)]) ).
cnf(1526,plain,
ld(mult(X1,X2),mult(X2,mult(ld(X2,X1),X1))) = ld(X2,X1),
inference(spm,[status(thm)],[21,1362,theory(equality)]) ).
cnf(1529,plain,
rd(mult(X2,mult(ld(X2,X1),X1)),ld(X2,X1)) = mult(X1,X2),
inference(spm,[status(thm)],[11,1362,theory(equality)]) ).
cnf(1586,plain,
mult(mult(X2,mult(ld(X2,X1),X1)),ld(X1,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[1529,269,theory(equality)]) ).
cnf(2272,plain,
ld(mult(ld(X3,X2),ld(X2,X3)),ld(X3,X2)) = ld(X3,X2),
inference(rw,[status(thm)],[291,107,theory(equality)]) ).
cnf(3163,plain,
ld(X1,mult(X1,X2)) = mult(ld(X1,X2),mult(mult(ld(X2,X1),X1),ld(X1,X2))),
inference(spm,[status(thm)],[40,1586,theory(equality)]) ).
cnf(3175,plain,
mult(mult(mult(ld(X1,X2),ld(X2,X1)),mult(ld(X1,X2),ld(X1,X2))),ld(ld(X1,X2),mult(ld(X1,X2),ld(X2,X1)))) = mult(ld(X1,X2),mult(ld(X1,X2),ld(X2,X1))),
inference(spm,[status(thm)],[1586,2272,theory(equality)]) ).
cnf(3237,plain,
X2 = mult(ld(X1,X2),mult(mult(ld(X2,X1),X1),ld(X1,X2))),
inference(rw,[status(thm)],[3163,21,theory(equality)]) ).
cnf(3238,plain,
ld(X1,X2) = mult(ld(X1,X2),mult(ld(X1,X2),ld(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3175,21,theory(equality)]),9,theory(equality)]),264,theory(equality)]),78,theory(equality)]),13,theory(equality)]) ).
cnf(3948,plain,
mult(X2,mult(X2,ld(mult(X1,X2),X1))) = X2,
inference(spm,[status(thm)],[3238,21,theory(equality)]) ).
cnf(3949,plain,
mult(ld(mult(X1,X2),X1),mult(ld(mult(X1,X2),X1),X2)) = ld(mult(X1,X2),X1),
inference(spm,[status(thm)],[3238,21,theory(equality)]) ).
cnf(4039,plain,
mult(X2,rd(X2,X2)) = X2,
inference(rw,[status(thm)],[3948,302,theory(equality)]) ).
cnf(4040,plain,
mult(ld(mult(X1,X2),X1),ld(X2,X2)) = ld(mult(X1,X2),X1),
inference(rw,[status(thm)],[3949,95,theory(equality)]) ).
cnf(4136,plain,
ld(X1,X1) = rd(X1,X1),
inference(spm,[status(thm)],[21,4039,theory(equality)]) ).
cnf(4186,plain,
mult(ld(X1,X1),X1) = X1,
inference(spm,[status(thm)],[19,4136,theory(equality)]) ).
cnf(4195,plain,
mult(ld(mult(X1,X2),ld(X2,X2)),X2) = ld(X2,ld(X1,X2)),
inference(spm,[status(thm)],[96,4136,theory(equality)]) ).
cnf(4213,plain,
ld(mult(mult(ld(mult(X1,mult(X2,X1)),mult(X1,mult(X2,X1))),X1),X2),mult(X1,mult(X2,X1))) = X1,
inference(spm,[status(thm)],[26,4186,theory(equality)]) ).
cnf(4246,plain,
ld(mult(X1,X1),mult(X1,X1)) = ld(X1,X1),
inference(spm,[status(thm)],[1526,4186,theory(equality)]) ).
cnf(4255,plain,
rd(ld(X1,X1),X1) = ld(X1,ld(X1,X1)),
inference(spm,[status(thm)],[110,4186,theory(equality)]) ).
cnf(5346,plain,
mult(X1,ld(X2,ld(X2,X2))) = rd(X1,X2),
inference(rw,[status(thm)],[551,4255,theory(equality)]) ).
cnf(5348,plain,
ld(X1,ld(X1,X1)) = ld(mult(X2,X1),X2),
inference(rw,[status(thm)],[110,4255,theory(equality)]) ).
cnf(6872,plain,
rd(ld(X2,X3),X2) = ld(mult(rd(mult(X1,X2),X3),X2),X1),
inference(spm,[status(thm)],[11,98,theory(equality)]) ).
cnf(6934,plain,
rd(ld(rd(mult(X1,X2),X3),mult(X1,X2)),ld(X2,X3)) = X2,
inference(spm,[status(thm)],[82,98,theory(equality)]) ).
cnf(7010,plain,
mult(X3,ld(X3,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6934,22,theory(equality)]),269,theory(equality)]) ).
cnf(7496,plain,
mult(X1,mult(ld(X1,X1),ld(mult(X2,X1),X2))) = mult(mult(X1,ld(mult(X2,X1),X2)),ld(X1,X1)),
inference(spm,[status(thm)],[24,4040,theory(equality)]) ).
cnf(7591,plain,
ld(X1,X1) = mult(mult(X1,ld(mult(X2,X1),X2)),ld(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7496,302,theory(equality)]),4255,theory(equality)]),13,theory(equality)]) ).
cnf(7592,plain,
ld(X1,X1) = mult(ld(X1,X1),ld(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7591,302,theory(equality)]),4136,theory(equality)]) ).
cnf(8185,plain,
mult(ld(ld(X2,X2),ld(X2,X2)),X2) = ld(X2,ld(ld(mult(X1,X2),X1),X2)),
inference(spm,[status(thm)],[4195,95,theory(equality)]) ).
cnf(8298,plain,
X2 = ld(X2,ld(ld(mult(X1,X2),X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8185,107,theory(equality)]),7592,theory(equality)]),4186,theory(equality)]) ).
cnf(8435,plain,
mult(X1,X1) = ld(ld(mult(X2,X1),X2),X1),
inference(spm,[status(thm)],[7010,8298,theory(equality)]) ).
cnf(8692,plain,
ld(ld(rd(X1,X3),X1),ld(mult(X2,X3),X2)) = mult(ld(mult(X2,X3),X2),ld(mult(X2,X3),X2)),
inference(spm,[status(thm)],[8435,302,theory(equality)]) ).
cnf(8761,plain,
ld(X3,ld(mult(X2,X3),X2)) = mult(ld(mult(X2,X3),X2),ld(mult(X2,X3),X2)),
inference(rw,[status(thm)],[8692,22,theory(equality)]) ).
cnf(8762,plain,
ld(X3,ld(mult(X2,X3),X2)) = rd(ld(mult(X2,X3),X2),X3),
inference(rw,[status(thm)],[8761,302,theory(equality)]) ).
cnf(34485,plain,
ld(ld(X1,X2),X2) = mult(mult(ld(X2,X1),X1),ld(X1,X2)),
inference(spm,[status(thm)],[21,3237,theory(equality)]) ).
cnf(34973,plain,
rd(ld(ld(X2,X1),X1),ld(X2,X1)) = mult(ld(X1,X2),X2),
inference(spm,[status(thm)],[11,34485,theory(equality)]) ).
cnf(35246,plain,
mult(mult(ld(mult(X3,X2),X3),rd(X1,X2)),ld(rd(X1,X2),X1)) = ld(ld(rd(X1,X2),X1),X1),
inference(spm,[status(thm)],[34485,220,theory(equality)]) ).
cnf(35295,plain,
mult(ld(ld(X2,X1),X1),ld(X1,X2)) = mult(ld(X1,X2),X2),
inference(rw,[status(thm)],[34973,269,theory(equality)]) ).
cnf(35535,plain,
mult(ld(X2,ld(mult(X3,X2),X3)),mult(X2,X1)) = ld(ld(rd(X1,X2),X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[35246,22,theory(equality)]),477,theory(equality)]),8762,theory(equality)]) ).
cnf(35536,plain,
mult(ld(X2,ld(mult(X3,X2),X3)),mult(X2,X1)) = ld(X2,X1),
inference(rw,[status(thm)],[35535,22,theory(equality)]) ).
cnf(36344,plain,
mult(ld(ld(X1,mult(X1,X2)),mult(X1,X2)),ld(X2,ld(X2,X2))) = mult(ld(X2,ld(X2,X2)),X1),
inference(spm,[status(thm)],[35295,5348,theory(equality)]) ).
cnf(36604,plain,
rd(ld(X2,mult(X1,X2)),X2) = mult(ld(X2,ld(X2,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[36344,21,theory(equality)]),5346,theory(equality)]) ).
cnf(43592,plain,
mult(ld(X1,ld(mult(X2,X1),X2)),X3) = ld(X1,ld(X1,X3)),
inference(spm,[status(thm)],[35536,7010,theory(equality)]) ).
cnf(44974,plain,
mult(ld(ld(X1,X1),ld(ld(mult(X2,X1),X2),ld(mult(X2,X1),X2))),X3) = ld(ld(X1,X1),ld(ld(X1,X1),X3)),
inference(spm,[status(thm)],[43592,4040,theory(equality)]) ).
cnf(45356,plain,
mult(ld(X1,X1),X3) = ld(ld(X1,X1),ld(ld(X1,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[44974,107,theory(equality)]),21,theory(equality)]),302,theory(equality)]),4136,theory(equality)]),107,theory(equality)]),7592,theory(equality)]) ).
cnf(46203,plain,
ld(ld(X1,X1),X2) = mult(ld(X1,X1),mult(ld(X1,X1),X2)),
inference(spm,[status(thm)],[45356,21,theory(equality)]) ).
cnf(91016,plain,
ld(mult(ld(mult(X1,X2),mult(X1,X2)),X2),X1) = rd(ld(X2,mult(X1,X2)),X2),
inference(spm,[status(thm)],[6872,4136,theory(equality)]) ).
cnf(91240,plain,
ld(mult(ld(mult(X1,X2),mult(X1,X2)),X2),X1) = mult(ld(X2,ld(X2,X2)),X1),
inference(rw,[status(thm)],[91016,36604,theory(equality)]) ).
cnf(581442,plain,
ld(mult(mult(ld(X2,X2),mult(ld(X1,X1),ld(X2,X2))),ld(X2,X2)),X1) = mult(ld(ld(X2,X2),ld(ld(X2,X2),ld(X2,X2))),X1),
inference(spm,[status(thm)],[91240,403,theory(equality)]) ).
cnf(582109,plain,
ld(ld(ld(X2,X2),ld(X1,X1)),X1) = mult(ld(ld(X2,X2),ld(ld(X2,X2),ld(X2,X2))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[581442,513,theory(equality)]),7592,theory(equality)]),46203,theory(equality)]) ).
cnf(582110,plain,
ld(ld(ld(X2,X2),ld(X1,X1)),X1) = mult(ld(X2,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[582109,107,theory(equality)]),7592,theory(equality)]),107,theory(equality)]),7592,theory(equality)]) ).
cnf(582515,plain,
mult(ld(ld(X1,X1),ld(X2,X2)),mult(ld(X1,X1),X2)) = X2,
inference(spm,[status(thm)],[7010,582110,theory(equality)]) ).
cnf(1049348,plain,
ld(mult(mult(ld(mult(mult(X1,X1),ld(X2,X2)),mult(mult(X1,X1),ld(X2,X2))),mult(X1,ld(X2,X2))),ld(X2,X2)),mult(mult(X1,X1),ld(X2,X2))) = mult(X1,ld(X2,X2)),
inference(spm,[status(thm)],[4213,394,theory(equality)]) ).
cnf(1050259,plain,
ld(X1,mult(mult(X1,X1),ld(X2,X2))) = mult(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)],[inference(rw,[status(thm)],[1049348,403,theory(equality)]),4246,theory(equality)]),513,theory(equality)]),513,theory(equality)]),7592,theory(equality)]),46203,theory(equality)]),582515,theory(equality)]) ).
cnf(1050544,plain,
ld(ld(X1,X1),mult(ld(X1,X1),ld(X2,X2))) = mult(ld(X1,X1),ld(X2,X2)),
inference(spm,[status(thm)],[1050259,7592,theory(equality)]) ).
cnf(1051182,plain,
ld(X2,X2) = mult(ld(X1,X1),ld(X2,X2)),
inference(rw,[status(thm)],[1050544,21,theory(equality)]) ).
cnf(1051607,plain,
rd(ld(X2,X2),ld(X2,X2)) = ld(X1,X1),
inference(spm,[status(thm)],[11,1051182,theory(equality)]) ).
cnf(1052697,plain,
ld(X2,X2) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1051607,269,theory(equality)]),7592,theory(equality)]) ).
cnf(1055588,negated_conjecture,
( mult(esk1_0,ld(X1,X1)) != esk1_0
| mult(ld(X1,X1),esk1_0) != esk1_0 ),
inference(spm,[status(thm)],[17,1052697,theory(equality)]) ).
cnf(1058989,negated_conjecture,
mult(esk1_0,ld(esk1_0,esk1_0)) != esk1_0,
inference(spm,[status(thm)],[1055588,4186,theory(equality)]) ).
cnf(1059024,negated_conjecture,
$false,
inference(rw,[status(thm)],[1058989,7010,theory(equality)]) ).
cnf(1059025,negated_conjecture,
$false,
inference(cn,[status(thm)],[1059024,theory(equality)]) ).
cnf(1059026,negated_conjecture,
$false,
1059025,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP655+3.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmplh-Zx5/sel_GRP655+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmplh-Zx5/sel_GRP655+3.p_2 with time limit 81
% -prover status Theorem
% Problem GRP655+3.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP655+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP655+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
%
%------------------------------------------------------------------------------