TSTP Solution File: SEU210+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU210+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 05:36:48 EST 2010
% Result : Theorem 83.20s
% Output : CNFRefutation 83.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 88 ( 23 unt; 0 def)
% Number of atoms : 324 ( 55 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 407 ( 171 ~; 163 |; 61 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 180 ( 9 sgn 98 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',d5_relat_1) ).
fof(8,conjecture,
! [X1,X2] :
( relation(X2)
=> ~ ( X1 != empty_set
& subset(X1,relation_rng(X2))
& relation_inverse_image(X2,X1) = empty_set ) ),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',t174_relat_1) ).
fof(13,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_inverse_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) ) ),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',t166_relat_1) ).
fof(14,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',commutativity_k2_tarski) ).
fof(15,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',fc4_relat_1) ).
fof(19,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',t5_subset) ).
fof(30,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',d5_tarski) ).
fof(31,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',t6_boole) ).
fof(36,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',rc2_subset_1) ).
fof(40,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/tmp/tmp35Zn_2/sel_SEU210+1.p_2',d3_tarski) ).
fof(41,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ~ ( X1 != empty_set
& subset(X1,relation_rng(X2))
& relation_inverse_image(X2,X1) = empty_set ) ),
inference(assume_negation,[status(cth)],[8]) ).
fof(51,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( X2 != relation_rng(X1)
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4] : in(ordered_pair(X4,X3),X1) )
& ( ! [X4] : ~ in(ordered_pair(X4,X3),X1)
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] : ~ in(ordered_pair(X4,X3),X1) )
& ( in(X3,X2)
| ? [X4] : in(ordered_pair(X4,X3),X1) ) )
| X2 = relation_rng(X1) ) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(52,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( X6 != relation_rng(X5)
| ! [X7] :
( ( ~ in(X7,X6)
| ? [X8] : in(ordered_pair(X8,X7),X5) )
& ( ! [X9] : ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6) ) ) )
& ( ? [X10] :
( ( ~ in(X10,X6)
| ! [X11] : ~ in(ordered_pair(X11,X10),X5) )
& ( in(X10,X6)
| ? [X12] : in(ordered_pair(X12,X10),X5) ) )
| X6 = relation_rng(X5) ) ) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( X6 != relation_rng(X5)
| ! [X7] :
( ( ~ in(X7,X6)
| in(ordered_pair(esk1_3(X5,X6,X7),X7),X5) )
& ( ! [X9] : ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6) ) ) )
& ( ( ( ~ in(esk2_2(X5,X6),X6)
| ! [X11] : ~ in(ordered_pair(X11,esk2_2(X5,X6)),X5) )
& ( in(esk2_2(X5,X6),X6)
| in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5) ) )
| X6 = relation_rng(X5) ) ) ),
inference(skolemize,[status(esa)],[52]) ).
fof(54,plain,
! [X5,X6,X7,X9,X11] :
( ( ( ( ( ~ in(ordered_pair(X11,esk2_2(X5,X6)),X5)
| ~ in(esk2_2(X5,X6),X6) )
& ( in(esk2_2(X5,X6),X6)
| in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5) ) )
| X6 = relation_rng(X5) )
& ( ( ( ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6) )
& ( ~ in(X7,X6)
| in(ordered_pair(esk1_3(X5,X6,X7),X7),X5) ) )
| X6 != relation_rng(X5) ) )
| ~ relation(X5) ),
inference(shift_quantors,[status(thm)],[53]) ).
fof(55,plain,
! [X5,X6,X7,X9,X11] :
( ( ~ in(ordered_pair(X11,esk2_2(X5,X6)),X5)
| ~ in(esk2_2(X5,X6),X6)
| X6 = relation_rng(X5)
| ~ relation(X5) )
& ( in(esk2_2(X5,X6),X6)
| in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)
| X6 = relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(X7,X6)
| in(ordered_pair(esk1_3(X5,X6,X7),X7),X5)
| X6 != relation_rng(X5)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(56,plain,
( in(ordered_pair(esk1_3(X1,X2,X3),X3),X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(58,plain,
( X2 = relation_rng(X1)
| in(ordered_pair(esk3_2(X1,X2),esk2_2(X1,X2)),X1)
| in(esk2_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(80,negated_conjecture,
? [X1,X2] :
( relation(X2)
& X1 != empty_set
& subset(X1,relation_rng(X2))
& relation_inverse_image(X2,X1) = empty_set ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(81,negated_conjecture,
? [X3,X4] :
( relation(X4)
& X3 != empty_set
& subset(X3,relation_rng(X4))
& relation_inverse_image(X4,X3) = empty_set ),
inference(variable_rename,[status(thm)],[80]) ).
fof(82,negated_conjecture,
( relation(esk8_0)
& esk7_0 != empty_set
& subset(esk7_0,relation_rng(esk8_0))
& relation_inverse_image(esk8_0,esk7_0) = empty_set ),
inference(skolemize,[status(esa)],[81]) ).
cnf(83,negated_conjecture,
relation_inverse_image(esk8_0,esk7_0) = empty_set,
inference(split_conjunct,[status(thm)],[82]) ).
cnf(84,negated_conjecture,
subset(esk7_0,relation_rng(esk8_0)),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(85,negated_conjecture,
esk7_0 != empty_set,
inference(split_conjunct,[status(thm)],[82]) ).
cnf(86,negated_conjecture,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[82]) ).
fof(97,plain,
! [X1,X2,X3] :
( ~ relation(X3)
| ( ( ~ in(X1,relation_inverse_image(X3,X2))
| ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) )
& ( ! [X4] :
( ~ in(X4,relation_rng(X3))
| ~ in(ordered_pair(X1,X4),X3)
| ~ in(X4,X2) )
| in(X1,relation_inverse_image(X3,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(98,plain,
! [X5,X6,X7] :
( ~ relation(X7)
| ( ( ~ in(X5,relation_inverse_image(X7,X6))
| ? [X8] :
( in(X8,relation_rng(X7))
& in(ordered_pair(X5,X8),X7)
& in(X8,X6) ) )
& ( ! [X9] :
( ~ in(X9,relation_rng(X7))
| ~ in(ordered_pair(X5,X9),X7)
| ~ in(X9,X6) )
| in(X5,relation_inverse_image(X7,X6)) ) ) ),
inference(variable_rename,[status(thm)],[97]) ).
fof(99,plain,
! [X5,X6,X7] :
( ~ relation(X7)
| ( ( ~ in(X5,relation_inverse_image(X7,X6))
| ( in(esk9_3(X5,X6,X7),relation_rng(X7))
& in(ordered_pair(X5,esk9_3(X5,X6,X7)),X7)
& in(esk9_3(X5,X6,X7),X6) ) )
& ( ! [X9] :
( ~ in(X9,relation_rng(X7))
| ~ in(ordered_pair(X5,X9),X7)
| ~ in(X9,X6) )
| in(X5,relation_inverse_image(X7,X6)) ) ) ),
inference(skolemize,[status(esa)],[98]) ).
fof(100,plain,
! [X5,X6,X7,X9] :
( ( ( ~ in(X9,relation_rng(X7))
| ~ in(ordered_pair(X5,X9),X7)
| ~ in(X9,X6)
| in(X5,relation_inverse_image(X7,X6)) )
& ( ~ in(X5,relation_inverse_image(X7,X6))
| ( in(esk9_3(X5,X6,X7),relation_rng(X7))
& in(ordered_pair(X5,esk9_3(X5,X6,X7)),X7)
& in(esk9_3(X5,X6,X7),X6) ) ) )
| ~ relation(X7) ),
inference(shift_quantors,[status(thm)],[99]) ).
fof(101,plain,
! [X5,X6,X7,X9] :
( ( ~ in(X9,relation_rng(X7))
| ~ in(ordered_pair(X5,X9),X7)
| ~ in(X9,X6)
| in(X5,relation_inverse_image(X7,X6))
| ~ relation(X7) )
& ( in(esk9_3(X5,X6,X7),relation_rng(X7))
| ~ in(X5,relation_inverse_image(X7,X6))
| ~ relation(X7) )
& ( in(ordered_pair(X5,esk9_3(X5,X6,X7)),X7)
| ~ in(X5,relation_inverse_image(X7,X6))
| ~ relation(X7) )
& ( in(esk9_3(X5,X6,X7),X6)
| ~ in(X5,relation_inverse_image(X7,X6))
| ~ relation(X7) ) ),
inference(distribute,[status(thm)],[100]) ).
cnf(105,plain,
( in(X2,relation_inverse_image(X1,X3))
| ~ relation(X1)
| ~ in(X4,X3)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(X4,relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[101]) ).
fof(106,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[14]) ).
cnf(107,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(108,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(109,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[15]) ).
fof(117,plain,
! [X1,X2,X3] :
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(118,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(variable_rename,[status(thm)],[117]) ).
cnf(119,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[118]) ).
fof(142,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[30]) ).
cnf(143,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[142]) ).
fof(144,plain,
! [X1] :
( ~ empty(X1)
| X1 = empty_set ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(145,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[144]) ).
cnf(146,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[145]) ).
fof(156,plain,
! [X3] :
? [X4] :
( element(X4,powerset(X3))
& empty(X4) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(157,plain,
! [X3] :
( element(esk12_1(X3),powerset(X3))
& empty(esk12_1(X3)) ),
inference(skolemize,[status(esa)],[156]) ).
cnf(158,plain,
empty(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[157]) ).
cnf(159,plain,
element(esk12_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[157]) ).
fof(167,plain,
! [X1,X2] :
( ( ~ subset(X1,X2)
| ! [X3] :
( ~ in(X3,X1)
| in(X3,X2) ) )
& ( ? [X3] :
( in(X3,X1)
& ~ in(X3,X2) )
| subset(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(168,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ? [X7] :
( in(X7,X4)
& ~ in(X7,X5) )
| subset(X4,X5) ) ),
inference(variable_rename,[status(thm)],[167]) ).
fof(169,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ( in(esk14_2(X4,X5),X4)
& ~ in(esk14_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[168]) ).
fof(170,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( ( in(esk14_2(X4,X5),X4)
& ~ in(esk14_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[169]) ).
fof(171,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( in(esk14_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk14_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[170]) ).
cnf(174,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[171]) ).
cnf(175,plain,
( relation_rng(X1) = X2
| in(esk2_2(X1,X2),X2)
| in(unordered_pair(unordered_pair(esk3_2(X1,X2),esk2_2(X1,X2)),singleton(esk3_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[58,143,theory(equality)]),
[unfolding] ).
cnf(178,plain,
( in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),X3),singleton(esk1_3(X1,X2,X3))),X1)
| relation_rng(X1) != X2
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[56,143,theory(equality)]),
[unfolding] ).
cnf(180,plain,
( in(X2,relation_inverse_image(X1,X3))
| ~ relation(X1)
| ~ in(X4,X3)
| ~ in(X4,relation_rng(X1))
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X1) ),
inference(rw,[status(thm)],[105,143,theory(equality)]),
[unfolding] ).
cnf(185,plain,
empty_set = esk12_1(X1),
inference(spm,[status(thm)],[146,158,theory(equality)]) ).
cnf(212,negated_conjecture,
( in(X1,relation_rng(esk8_0))
| ~ in(X1,esk7_0) ),
inference(spm,[status(thm)],[174,84,theory(equality)]) ).
cnf(232,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X1)),X2)
| ~ in(X4,relation_rng(X2))
| ~ in(X4,X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[180,107,theory(equality)]) ).
cnf(242,plain,
( in(unordered_pair(unordered_pair(X3,esk1_3(X1,X2,X3)),singleton(esk1_3(X1,X2,X3))),X1)
| relation_rng(X1) != X2
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[178,107,theory(equality)]) ).
cnf(247,plain,
( relation_rng(X1) = X2
| in(esk2_2(X1,X2),X2)
| in(unordered_pair(singleton(esk3_2(X1,X2)),unordered_pair(esk2_2(X1,X2),esk3_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[175,107,theory(equality)]),107,theory(equality)]) ).
cnf(256,plain,
element(empty_set,powerset(X1)),
inference(rw,[status(thm)],[159,185,theory(equality)]) ).
cnf(261,plain,
( ~ empty(X1)
| ~ in(X2,empty_set) ),
inference(spm,[status(thm)],[119,256,theory(equality)]) ).
fof(280,plain,
( ~ epred1_0
<=> ! [X1] : ~ empty(X1) ),
introduced(definition),
[split] ).
cnf(281,plain,
( epred1_0
| ~ empty(X1) ),
inference(split_equiv,[status(thm)],[280]) ).
fof(282,plain,
( ~ epred2_0
<=> ! [X2] : ~ in(X2,empty_set) ),
introduced(definition),
[split] ).
cnf(283,plain,
( epred2_0
| ~ in(X2,empty_set) ),
inference(split_equiv,[status(thm)],[282]) ).
cnf(284,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[261,280,theory(equality)]),282,theory(equality)]),
[split] ).
cnf(285,plain,
epred1_0,
inference(spm,[status(thm)],[281,109,theory(equality)]) ).
cnf(288,plain,
( ~ epred2_0
| $false ),
inference(rw,[status(thm)],[284,285,theory(equality)]) ).
cnf(289,plain,
~ epred2_0,
inference(cn,[status(thm)],[288,theory(equality)]) ).
cnf(298,plain,
~ in(X2,empty_set),
inference(sr,[status(thm)],[283,289,theory(equality)]) ).
cnf(303,plain,
( relation_rng(empty_set) = X1
| in(esk2_2(empty_set,X1),X1)
| ~ relation(empty_set) ),
inference(spm,[status(thm)],[298,247,theory(equality)]) ).
cnf(309,plain,
( relation_rng(empty_set) = X1
| in(esk2_2(empty_set,X1),X1)
| $false ),
inference(rw,[status(thm)],[303,108,theory(equality)]) ).
cnf(310,plain,
( relation_rng(empty_set) = X1
| in(esk2_2(empty_set,X1),X1) ),
inference(cn,[status(thm)],[309,theory(equality)]) ).
cnf(317,plain,
relation_rng(empty_set) = empty_set,
inference(spm,[status(thm)],[298,310,theory(equality)]) ).
cnf(326,plain,
( empty_set = X1
| in(esk2_2(empty_set,X1),X1) ),
inference(rw,[status(thm)],[310,317,theory(equality)]) ).
cnf(918,plain,
( in(esk1_3(X1,X2,X3),relation_inverse_image(X1,X4))
| ~ in(X3,relation_rng(X1))
| ~ in(X3,X4)
| ~ relation(X1)
| relation_rng(X1) != X2
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[232,242,theory(equality)]) ).
cnf(16402,negated_conjecture,
( in(esk1_3(esk8_0,X1,X2),empty_set)
| relation_rng(esk8_0) != X1
| ~ in(X2,relation_rng(esk8_0))
| ~ in(X2,esk7_0)
| ~ in(X2,X1)
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[918,83,theory(equality)]) ).
cnf(16455,negated_conjecture,
( relation_rng(esk8_0) != X1
| ~ in(X2,relation_rng(esk8_0))
| ~ in(X2,esk7_0)
| ~ in(X2,X1)
| ~ relation(esk8_0) ),
inference(sr,[status(thm)],[16402,298,theory(equality)]) ).
cnf(971584,negated_conjecture,
( relation_rng(esk8_0) != X1
| ~ in(X2,esk7_0)
| ~ in(X2,X1)
| ~ relation(esk8_0) ),
inference(csr,[status(thm)],[16455,212]) ).
cnf(976616,negated_conjecture,
( empty_set = esk7_0
| relation_rng(esk8_0) != X1
| ~ in(esk2_2(empty_set,esk7_0),X1)
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[971584,326,theory(equality)]) ).
cnf(976695,negated_conjecture,
( relation_rng(esk8_0) != X1
| ~ in(esk2_2(empty_set,esk7_0),X1)
| ~ relation(esk8_0) ),
inference(sr,[status(thm)],[976616,85,theory(equality)]) ).
cnf(976707,negated_conjecture,
( ~ relation(esk8_0)
| ~ in(esk2_2(empty_set,esk7_0),esk7_0) ),
inference(spm,[status(thm)],[976695,212,theory(equality)]) ).
cnf(976740,negated_conjecture,
( empty_set = esk7_0
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[976707,326,theory(equality)]) ).
cnf(976743,negated_conjecture,
~ relation(esk8_0),
inference(sr,[status(thm)],[976740,85,theory(equality)]) ).
cnf(976757,negated_conjecture,
$false,
inference(sr,[status(thm)],[86,976743,theory(equality)]) ).
cnf(976758,negated_conjecture,
$false,
976757,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU210+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp35Zn_2/sel_SEU210+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmp35Zn_2/sel_SEU210+1.p_2 with time limit 81
% -prover status Theorem
% Problem SEU210+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU210+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU210+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
%
%------------------------------------------------------------------------------