TSTP Solution File: SET582+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET582+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 02:57:59 EST 2010
% Result : Theorem 79.38s
% Output : CNFRefutation 79.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 136 ( 43 unt; 0 def)
% Number of atoms : 363 ( 44 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 356 ( 129 ~; 161 |; 51 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 219 ( 14 sgn 78 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
file('/tmp/tmpR-_ICb/sel_SET582+3.p_2',symmetric_difference_defn) ).
fof(4,conjecture,
! [X1,X2,X3] :
( ! [X4] :
( ~ member(X4,X1)
<=> ( member(X4,X2)
<=> member(X4,X3) ) )
=> X1 = symmetric_difference(X2,X3) ),
file('/tmp/tmpR-_ICb/sel_SET582+3.p_2',prove_th25) ).
fof(5,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/tmp/tmpR-_ICb/sel_SET582+3.p_2',union_defn) ).
fof(6,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/tmp/tmpR-_ICb/sel_SET582+3.p_2',equal_defn) ).
fof(7,axiom,
! [X1,X2] : union(X1,X2) = union(X2,X1),
file('/tmp/tmpR-_ICb/sel_SET582+3.p_2',commutativity_of_union) ).
fof(9,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/tmp/tmpR-_ICb/sel_SET582+3.p_2',subset_defn) ).
fof(10,axiom,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
file('/tmp/tmpR-_ICb/sel_SET582+3.p_2',difference_defn) ).
fof(12,negated_conjecture,
~ ! [X1,X2,X3] :
( ! [X4] :
( ~ member(X4,X1)
<=> ( member(X4,X2)
<=> member(X4,X3) ) )
=> X1 = symmetric_difference(X2,X3) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(13,negated_conjecture,
~ ! [X1,X2,X3] :
( ! [X4] :
( ~ member(X4,X1)
<=> ( member(X4,X2)
<=> member(X4,X3) ) )
=> X1 = symmetric_difference(X2,X3) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(14,plain,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(23,plain,
! [X3,X4] : symmetric_difference(X3,X4) = union(difference(X3,X4),difference(X4,X3)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(24,plain,
symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
inference(split_conjunct,[status(thm)],[23]) ).
fof(25,negated_conjecture,
? [X1,X2,X3] :
( ! [X4] :
( ( member(X4,X1)
| ( ( ~ member(X4,X2)
| member(X4,X3) )
& ( ~ member(X4,X3)
| member(X4,X2) ) ) )
& ( ( ( ~ member(X4,X2)
| ~ member(X4,X3) )
& ( member(X4,X2)
| member(X4,X3) ) )
| ~ member(X4,X1) ) )
& X1 != symmetric_difference(X2,X3) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(26,negated_conjecture,
? [X5,X6,X7] :
( ! [X8] :
( ( member(X8,X5)
| ( ( ~ member(X8,X6)
| member(X8,X7) )
& ( ~ member(X8,X7)
| member(X8,X6) ) ) )
& ( ( ( ~ member(X8,X6)
| ~ member(X8,X7) )
& ( member(X8,X6)
| member(X8,X7) ) )
| ~ member(X8,X5) ) )
& X5 != symmetric_difference(X6,X7) ),
inference(variable_rename,[status(thm)],[25]) ).
fof(27,negated_conjecture,
( ! [X8] :
( ( member(X8,esk2_0)
| ( ( ~ member(X8,esk3_0)
| member(X8,esk4_0) )
& ( ~ member(X8,esk4_0)
| member(X8,esk3_0) ) ) )
& ( ( ( ~ member(X8,esk3_0)
| ~ member(X8,esk4_0) )
& ( member(X8,esk3_0)
| member(X8,esk4_0) ) )
| ~ member(X8,esk2_0) ) )
& esk2_0 != symmetric_difference(esk3_0,esk4_0) ),
inference(skolemize,[status(esa)],[26]) ).
fof(28,negated_conjecture,
! [X8] :
( ( member(X8,esk2_0)
| ( ( ~ member(X8,esk3_0)
| member(X8,esk4_0) )
& ( ~ member(X8,esk4_0)
| member(X8,esk3_0) ) ) )
& ( ( ( ~ member(X8,esk3_0)
| ~ member(X8,esk4_0) )
& ( member(X8,esk3_0)
| member(X8,esk4_0) ) )
| ~ member(X8,esk2_0) )
& esk2_0 != symmetric_difference(esk3_0,esk4_0) ),
inference(shift_quantors,[status(thm)],[27]) ).
fof(29,negated_conjecture,
! [X8] :
( ( ~ member(X8,esk3_0)
| member(X8,esk4_0)
| member(X8,esk2_0) )
& ( ~ member(X8,esk4_0)
| member(X8,esk3_0)
| member(X8,esk2_0) )
& ( ~ member(X8,esk3_0)
| ~ member(X8,esk4_0)
| ~ member(X8,esk2_0) )
& ( member(X8,esk3_0)
| member(X8,esk4_0)
| ~ member(X8,esk2_0) )
& esk2_0 != symmetric_difference(esk3_0,esk4_0) ),
inference(distribute,[status(thm)],[28]) ).
cnf(30,negated_conjecture,
esk2_0 != symmetric_difference(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(31,negated_conjecture,
( member(X1,esk4_0)
| member(X1,esk3_0)
| ~ member(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(32,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(X1,esk4_0)
| ~ member(X1,esk3_0) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(33,negated_conjecture,
( member(X1,esk2_0)
| member(X1,esk3_0)
| ~ member(X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(34,negated_conjecture,
( member(X1,esk2_0)
| member(X1,esk4_0)
| ~ member(X1,esk3_0) ),
inference(split_conjunct,[status(thm)],[29]) ).
fof(35,plain,
! [X1,X2,X3] :
( ( ~ member(X3,union(X1,X2))
| member(X3,X1)
| member(X3,X2) )
& ( ( ~ member(X3,X1)
& ~ member(X3,X2) )
| member(X3,union(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(36,plain,
! [X4,X5,X6] :
( ( ~ member(X6,union(X4,X5))
| member(X6,X4)
| member(X6,X5) )
& ( ( ~ member(X6,X4)
& ~ member(X6,X5) )
| member(X6,union(X4,X5)) ) ),
inference(variable_rename,[status(thm)],[35]) ).
fof(37,plain,
! [X4,X5,X6] :
( ( ~ member(X6,union(X4,X5))
| member(X6,X4)
| member(X6,X5) )
& ( ~ member(X6,X4)
| member(X6,union(X4,X5)) )
& ( ~ member(X6,X5)
| member(X6,union(X4,X5)) ) ),
inference(distribute,[status(thm)],[36]) ).
cnf(38,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(39,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(40,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(41,plain,
! [X1,X2] :
( ( X1 != X2
| ( subset(X1,X2)
& subset(X2,X1) ) )
& ( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(42,plain,
! [X3,X4] :
( ( X3 != X4
| ( subset(X3,X4)
& subset(X4,X3) ) )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(43,plain,
! [X3,X4] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[42]) ).
cnf(44,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[43]) ).
fof(47,plain,
! [X3,X4] : union(X3,X4) = union(X4,X3),
inference(variable_rename,[status(thm)],[7]) ).
cnf(48,plain,
union(X1,X2) = union(X2,X1),
inference(split_conjunct,[status(thm)],[47]) ).
fof(58,plain,
! [X1,X2] :
( ( ~ subset(X1,X2)
| ! [X3] :
( ~ member(X3,X1)
| member(X3,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ member(X3,X2) )
| subset(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(59,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ? [X7] :
( member(X7,X4)
& ~ member(X7,X5) )
| subset(X4,X5) ) ),
inference(variable_rename,[status(thm)],[58]) ).
fof(60,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ( member(esk6_2(X4,X5),X4)
& ~ member(esk6_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[59]) ).
fof(61,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( ( member(esk6_2(X4,X5),X4)
& ~ member(esk6_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[60]) ).
fof(62,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( member(esk6_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk6_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[61]) ).
cnf(63,plain,
( subset(X1,X2)
| ~ member(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(64,plain,
( subset(X1,X2)
| member(esk6_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(65,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(66,plain,
! [X1,X2,X3] :
( ( ~ member(X3,difference(X1,X2))
| ( member(X3,X1)
& ~ member(X3,X2) ) )
& ( ~ member(X3,X1)
| member(X3,X2)
| member(X3,difference(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(67,plain,
! [X4,X5,X6] :
( ( ~ member(X6,difference(X4,X5))
| ( member(X6,X4)
& ~ member(X6,X5) ) )
& ( ~ member(X6,X4)
| member(X6,X5)
| member(X6,difference(X4,X5)) ) ),
inference(variable_rename,[status(thm)],[66]) ).
fof(68,plain,
! [X4,X5,X6] :
( ( member(X6,X4)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X5)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X4)
| member(X6,X5)
| member(X6,difference(X4,X5)) ) ),
inference(distribute,[status(thm)],[67]) ).
cnf(69,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(70,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(71,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(75,negated_conjecture,
union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0)) != esk2_0,
inference(rw,[status(thm)],[30,24,theory(equality)]),
[unfolding] ).
cnf(90,plain,
( member(esk6_2(difference(X1,X2),X3),X1)
| subset(difference(X1,X2),X3) ),
inference(spm,[status(thm)],[71,64,theory(equality)]) ).
cnf(91,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk6_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[70,64,theory(equality)]) ).
cnf(92,negated_conjecture,
( subset(X1,esk2_0)
| member(esk6_2(X1,esk2_0),esk3_0)
| ~ member(esk6_2(X1,esk2_0),esk4_0) ),
inference(spm,[status(thm)],[63,33,theory(equality)]) ).
cnf(93,negated_conjecture,
( subset(X1,esk2_0)
| member(esk6_2(X1,esk2_0),esk4_0)
| ~ member(esk6_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[63,34,theory(equality)]) ).
cnf(95,plain,
( subset(X1,union(X2,X3))
| ~ member(esk6_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[63,38,theory(equality)]) ).
cnf(96,plain,
( subset(X1,union(X2,X3))
| ~ member(esk6_2(X1,union(X2,X3)),X2) ),
inference(spm,[status(thm)],[63,39,theory(equality)]) ).
cnf(101,plain,
( subset(X1,difference(X2,X3))
| member(esk6_2(X1,difference(X2,X3)),X3)
| ~ member(esk6_2(X1,difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[63,69,theory(equality)]) ).
cnf(104,plain,
( member(esk6_2(union(X1,X2),X3),X2)
| member(esk6_2(union(X1,X2),X3),X1)
| subset(union(X1,X2),X3) ),
inference(spm,[status(thm)],[40,64,theory(equality)]) ).
cnf(148,negated_conjecture,
( member(esk6_2(difference(esk2_0,X1),X2),esk4_0)
| member(esk6_2(difference(esk2_0,X1),X2),esk3_0)
| subset(difference(esk2_0,X1),X2) ),
inference(spm,[status(thm)],[31,90,theory(equality)]) ).
cnf(149,negated_conjecture,
( subset(difference(esk2_0,X1),X2)
| ~ member(esk6_2(difference(esk2_0,X1),X2),esk3_0)
| ~ member(esk6_2(difference(esk2_0,X1),X2),esk4_0) ),
inference(spm,[status(thm)],[32,90,theory(equality)]) ).
cnf(150,plain,
( member(esk6_2(difference(difference(X1,X2),X3),X4),X1)
| subset(difference(difference(X1,X2),X3),X4) ),
inference(spm,[status(thm)],[71,90,theory(equality)]) ).
cnf(152,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[63,90,theory(equality)]) ).
cnf(154,negated_conjecture,
( subset(difference(esk4_0,X1),esk2_0)
| member(esk6_2(difference(esk4_0,X1),esk2_0),esk3_0) ),
inference(spm,[status(thm)],[92,90,theory(equality)]) ).
cnf(164,plain,
( subset(difference(X1,difference(X2,X3)),X4)
| member(esk6_2(difference(X1,difference(X2,X3)),X4),X3)
| ~ member(esk6_2(difference(X1,difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[91,69,theory(equality)]) ).
cnf(166,negated_conjecture,
subset(difference(esk4_0,esk3_0),esk2_0),
inference(spm,[status(thm)],[91,154,theory(equality)]) ).
cnf(167,negated_conjecture,
( subset(difference(X1,esk4_0),esk2_0)
| ~ member(esk6_2(difference(X1,esk4_0),esk2_0),esk3_0) ),
inference(spm,[status(thm)],[91,93,theory(equality)]) ).
cnf(169,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,difference(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[65,166,theory(equality)]) ).
cnf(174,plain,
subset(X1,union(X2,X1)),
inference(spm,[status(thm)],[95,64,theory(equality)]) ).
cnf(177,plain,
( subset(X1,union(X2,difference(X3,X4)))
| member(esk6_2(X1,union(X2,difference(X3,X4))),X4)
| ~ member(esk6_2(X1,union(X2,difference(X3,X4))),X3) ),
inference(spm,[status(thm)],[95,69,theory(equality)]) ).
cnf(183,plain,
subset(X1,union(X1,X2)),
inference(spm,[status(thm)],[174,48,theory(equality)]) ).
cnf(213,negated_conjecture,
( member(esk6_2(difference(esk4_0,esk3_0),X1),esk2_0)
| subset(difference(esk4_0,esk3_0),X1) ),
inference(spm,[status(thm)],[169,64,theory(equality)]) ).
cnf(257,negated_conjecture,
subset(difference(esk4_0,esk3_0),union(esk2_0,X1)),
inference(spm,[status(thm)],[96,213,theory(equality)]) ).
cnf(266,negated_conjecture,
( member(X1,union(esk2_0,X2))
| ~ member(X1,difference(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[65,257,theory(equality)]) ).
cnf(273,plain,
( subset(X1,difference(X1,X2))
| member(esk6_2(X1,difference(X1,X2)),X2) ),
inference(spm,[status(thm)],[101,64,theory(equality)]) ).
cnf(280,negated_conjecture,
( subset(difference(esk4_0,esk3_0),difference(esk2_0,X1))
| member(esk6_2(difference(esk4_0,esk3_0),difference(esk2_0,X1)),X1) ),
inference(spm,[status(thm)],[101,213,theory(equality)]) ).
cnf(298,negated_conjecture,
( subset(X1,union(esk2_0,X2))
| ~ member(esk6_2(X1,union(esk2_0,X2)),difference(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[63,266,theory(equality)]) ).
cnf(310,plain,
( subset(union(X4,X4),X5)
| member(esk6_2(union(X4,X4),X5),X4) ),
inference(ef,[status(thm)],[104,theory(equality)]) ).
cnf(328,plain,
( subset(union(X1,X2),union(X3,X1))
| member(esk6_2(union(X1,X2),union(X3,X1)),X2) ),
inference(spm,[status(thm)],[95,104,theory(equality)]) ).
cnf(456,negated_conjecture,
subset(difference(esk3_0,esk4_0),esk2_0),
inference(spm,[status(thm)],[167,90,theory(equality)]) ).
cnf(465,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,difference(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[65,456,theory(equality)]) ).
cnf(466,negated_conjecture,
( member(esk6_2(difference(esk3_0,esk4_0),X1),esk2_0)
| subset(difference(esk3_0,esk4_0),X1) ),
inference(spm,[status(thm)],[465,64,theory(equality)]) ).
cnf(480,negated_conjecture,
subset(difference(esk3_0,esk4_0),union(X1,esk2_0)),
inference(spm,[status(thm)],[95,466,theory(equality)]) ).
cnf(482,negated_conjecture,
( subset(difference(esk3_0,esk4_0),difference(esk2_0,X1))
| member(esk6_2(difference(esk3_0,esk4_0),difference(esk2_0,X1)),X1) ),
inference(spm,[status(thm)],[101,466,theory(equality)]) ).
cnf(487,negated_conjecture,
( member(X1,union(X2,esk2_0))
| ~ member(X1,difference(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[65,480,theory(equality)]) ).
cnf(530,negated_conjecture,
( subset(X1,union(X2,esk2_0))
| ~ member(esk6_2(X1,union(X2,esk2_0)),difference(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[63,487,theory(equality)]) ).
cnf(1580,negated_conjecture,
subset(difference(esk4_0,esk3_0),difference(esk2_0,esk3_0)),
inference(spm,[status(thm)],[91,280,theory(equality)]) ).
cnf(1592,negated_conjecture,
( difference(esk2_0,esk3_0) = difference(esk4_0,esk3_0)
| ~ subset(difference(esk2_0,esk3_0),difference(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[44,1580,theory(equality)]) ).
cnf(1633,negated_conjecture,
( member(esk6_2(difference(esk3_0,esk4_0),difference(esk2_0,difference(X1,X2))),X1)
| subset(difference(esk3_0,esk4_0),difference(esk2_0,difference(X1,X2))) ),
inference(spm,[status(thm)],[71,482,theory(equality)]) ).
cnf(1636,negated_conjecture,
subset(difference(esk3_0,esk4_0),difference(esk2_0,esk4_0)),
inference(spm,[status(thm)],[91,482,theory(equality)]) ).
cnf(1648,negated_conjecture,
( difference(esk2_0,esk4_0) = difference(esk3_0,esk4_0)
| ~ subset(difference(esk2_0,esk4_0),difference(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[44,1636,theory(equality)]) ).
cnf(2854,negated_conjecture,
( subset(difference(esk2_0,X1),esk4_0)
| member(esk6_2(difference(esk2_0,X1),esk4_0),esk3_0) ),
inference(spm,[status(thm)],[63,148,theory(equality)]) ).
cnf(2856,negated_conjecture,
( subset(difference(esk2_0,esk4_0),X1)
| member(esk6_2(difference(esk2_0,esk4_0),X1),esk3_0) ),
inference(spm,[status(thm)],[91,148,theory(equality)]) ).
cnf(2867,negated_conjecture,
subset(difference(esk2_0,esk3_0),esk4_0),
inference(spm,[status(thm)],[91,2854,theory(equality)]) ).
cnf(2871,negated_conjecture,
( member(X1,esk4_0)
| ~ member(X1,difference(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[65,2867,theory(equality)]) ).
cnf(2872,negated_conjecture,
( member(esk6_2(difference(esk2_0,esk3_0),X1),esk4_0)
| subset(difference(esk2_0,esk3_0),X1) ),
inference(spm,[status(thm)],[2871,64,theory(equality)]) ).
cnf(2920,negated_conjecture,
( subset(difference(esk2_0,X1),difference(difference(esk2_0,X1),esk4_0))
| ~ member(esk6_2(difference(esk2_0,X1),difference(difference(esk2_0,X1),esk4_0)),esk3_0) ),
inference(spm,[status(thm)],[149,273,theory(equality)]) ).
cnf(2928,negated_conjecture,
( subset(difference(esk2_0,esk4_0),difference(esk3_0,X1))
| member(esk6_2(difference(esk2_0,esk4_0),difference(esk3_0,X1)),X1) ),
inference(spm,[status(thm)],[101,2856,theory(equality)]) ).
cnf(3020,plain,
( subset(difference(difference(X1,X2),X3),difference(X1,X4))
| member(esk6_2(difference(difference(X1,X2),X3),difference(X1,X4)),X4) ),
inference(spm,[status(thm)],[101,150,theory(equality)]) ).
cnf(4078,negated_conjecture,
( subset(difference(esk2_0,esk3_0),difference(esk4_0,X1))
| member(esk6_2(difference(esk2_0,esk3_0),difference(esk4_0,X1)),X1) ),
inference(spm,[status(thm)],[101,2872,theory(equality)]) ).
cnf(4975,plain,
( subset(difference(X1,difference(X1,X2)),X3)
| member(esk6_2(difference(X1,difference(X1,X2)),X3),X2) ),
inference(spm,[status(thm)],[164,90,theory(equality)]) ).
cnf(6249,plain,
( subset(X1,union(X2,difference(X1,X3)))
| member(esk6_2(X1,union(X2,difference(X1,X3))),X3) ),
inference(spm,[status(thm)],[177,64,theory(equality)]) ).
cnf(11753,plain,
subset(union(X1,X1),X1),
inference(spm,[status(thm)],[63,310,theory(equality)]) ).
cnf(11810,plain,
( X1 = union(X1,X1)
| ~ subset(X1,union(X1,X1)) ),
inference(spm,[status(thm)],[44,11753,theory(equality)]) ).
cnf(11818,plain,
( X1 = union(X1,X1)
| $false ),
inference(rw,[status(thm)],[11810,183,theory(equality)]) ).
cnf(11819,plain,
X1 = union(X1,X1),
inference(cn,[status(thm)],[11818,theory(equality)]) ).
cnf(16536,negated_conjecture,
subset(union(X1,difference(esk4_0,esk3_0)),union(esk2_0,X1)),
inference(spm,[status(thm)],[298,328,theory(equality)]) ).
cnf(31396,negated_conjecture,
subset(union(esk2_0,difference(esk3_0,esk4_0)),union(X1,esk2_0)),
inference(spm,[status(thm)],[530,328,theory(equality)]) ).
cnf(31420,negated_conjecture,
subset(union(esk2_0,difference(esk3_0,esk4_0)),esk2_0),
inference(spm,[status(thm)],[31396,11819,theory(equality)]) ).
cnf(31478,negated_conjecture,
( esk2_0 = union(esk2_0,difference(esk3_0,esk4_0))
| ~ subset(esk2_0,union(esk2_0,difference(esk3_0,esk4_0))) ),
inference(spm,[status(thm)],[44,31420,theory(equality)]) ).
cnf(31481,negated_conjecture,
( esk2_0 = union(esk2_0,difference(esk3_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[31478,183,theory(equality)]) ).
cnf(31482,negated_conjecture,
esk2_0 = union(esk2_0,difference(esk3_0,esk4_0)),
inference(cn,[status(thm)],[31481,theory(equality)]) ).
cnf(31526,negated_conjecture,
subset(union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0)),esk2_0),
inference(spm,[status(thm)],[16536,31482,theory(equality)]) ).
cnf(32625,negated_conjecture,
( esk2_0 = union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))
| ~ subset(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))) ),
inference(spm,[status(thm)],[44,31526,theory(equality)]) ).
cnf(32627,negated_conjecture,
~ subset(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))),
inference(sr,[status(thm)],[32625,75,theory(equality)]) ).
cnf(231087,negated_conjecture,
subset(difference(esk3_0,esk4_0),difference(esk2_0,difference(esk4_0,X1))),
inference(spm,[status(thm)],[91,1633,theory(equality)]) ).
cnf(404356,negated_conjecture,
subset(difference(esk2_0,esk4_0),difference(esk3_0,esk4_0)),
inference(spm,[status(thm)],[91,2928,theory(equality)]) ).
cnf(404544,negated_conjecture,
( difference(esk2_0,esk4_0) = difference(esk3_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[1648,404356,theory(equality)]) ).
cnf(404545,negated_conjecture,
difference(esk2_0,esk4_0) = difference(esk3_0,esk4_0),
inference(cn,[status(thm)],[404544,theory(equality)]) ).
cnf(437469,plain,
subset(difference(difference(X1,X2),X3),difference(X1,X3)),
inference(spm,[status(thm)],[91,3020,theory(equality)]) ).
cnf(668269,negated_conjecture,
subset(difference(esk2_0,esk3_0),difference(esk4_0,esk3_0)),
inference(spm,[status(thm)],[91,4078,theory(equality)]) ).
cnf(668464,negated_conjecture,
( difference(esk2_0,esk3_0) = difference(esk4_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[1592,668269,theory(equality)]) ).
cnf(668465,negated_conjecture,
difference(esk2_0,esk3_0) = difference(esk4_0,esk3_0),
inference(cn,[status(thm)],[668464,theory(equality)]) ).
cnf(883430,negated_conjecture,
subset(difference(esk2_0,difference(esk2_0,esk3_0)),difference(difference(esk2_0,difference(esk2_0,esk3_0)),esk4_0)),
inference(spm,[status(thm)],[2920,4975,theory(equality)]) ).
cnf(884489,negated_conjecture,
subset(difference(esk2_0,difference(esk4_0,esk3_0)),difference(difference(esk2_0,difference(esk4_0,esk3_0)),esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[883430,668465,theory(equality)]),668465,theory(equality)]) ).
cnf(887447,negated_conjecture,
( difference(difference(esk2_0,difference(esk4_0,esk3_0)),esk4_0) = difference(esk2_0,difference(esk4_0,esk3_0))
| ~ subset(difference(difference(esk2_0,difference(esk4_0,esk3_0)),esk4_0),difference(esk2_0,difference(esk4_0,esk3_0))) ),
inference(spm,[status(thm)],[44,884489,theory(equality)]) ).
cnf(887450,negated_conjecture,
( difference(difference(esk2_0,difference(esk4_0,esk3_0)),esk4_0) = difference(esk2_0,difference(esk4_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[887447,152,theory(equality)]) ).
cnf(887451,negated_conjecture,
difference(difference(esk2_0,difference(esk4_0,esk3_0)),esk4_0) = difference(esk2_0,difference(esk4_0,esk3_0)),
inference(cn,[status(thm)],[887450,theory(equality)]) ).
cnf(887519,negated_conjecture,
subset(difference(esk2_0,difference(esk4_0,esk3_0)),difference(esk2_0,esk4_0)),
inference(spm,[status(thm)],[437469,887451,theory(equality)]) ).
cnf(887880,negated_conjecture,
subset(difference(esk2_0,difference(esk4_0,esk3_0)),difference(esk3_0,esk4_0)),
inference(rw,[status(thm)],[887519,404545,theory(equality)]) ).
cnf(890612,negated_conjecture,
( difference(esk3_0,esk4_0) = difference(esk2_0,difference(esk4_0,esk3_0))
| ~ subset(difference(esk3_0,esk4_0),difference(esk2_0,difference(esk4_0,esk3_0))) ),
inference(spm,[status(thm)],[44,887880,theory(equality)]) ).
cnf(890614,negated_conjecture,
( difference(esk3_0,esk4_0) = difference(esk2_0,difference(esk4_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[890612,231087,theory(equality)]) ).
cnf(890615,negated_conjecture,
difference(esk3_0,esk4_0) = difference(esk2_0,difference(esk4_0,esk3_0)),
inference(cn,[status(thm)],[890614,theory(equality)]) ).
cnf(1269820,plain,
subset(X1,union(X2,difference(X1,X2))),
inference(spm,[status(thm)],[96,6249,theory(equality)]) ).
cnf(1271162,negated_conjecture,
subset(esk2_0,union(difference(esk4_0,esk3_0),difference(esk3_0,esk4_0))),
inference(spm,[status(thm)],[1269820,890615,theory(equality)]) ).
cnf(1271676,negated_conjecture,
subset(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))),
inference(rw,[status(thm)],[1271162,48,theory(equality)]) ).
cnf(1271677,negated_conjecture,
$false,
inference(sr,[status(thm)],[1271676,32627,theory(equality)]) ).
cnf(1271678,negated_conjecture,
$false,
1271677,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET582+3.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpR-_ICb/sel_SET582+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpR-_ICb/sel_SET582+3.p_2 with time limit 80
% -prover status Theorem
% Problem SET582+3.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET582+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET582+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
%
%------------------------------------------------------------------------------