TSTP Solution File: SEU277+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU277+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 06:39:05 EST 2010
% Result : Theorem 0.69s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 2
% Syntax : Number of formulae : 146 ( 11 unt; 0 def)
% Number of atoms : 1108 ( 326 equ)
% Maximal formula atoms : 231 ( 7 avg)
% Number of connectives : 1593 ( 631 ~; 832 |; 122 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-4 aty)
% Number of variables : 387 ( 0 sgn 65 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,conjecture,
! [X1,X2,X3] :
( ( relation(X2)
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,cartesian_product2(X1,X1))
& ? [X6,X7] :
( X5 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ) ) ) ),
file('/tmp/tmpNtAbcz/sel_SEU277+1.p_1',s1_xboole_0__e6_21__wellord2__1) ).
fof(10,axiom,
! [X1,X2,X3] :
( ( relation(X2)
& relation(X3)
& function(X3) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7,X8] :
( X5 = ordered_pair(X7,X8)
& in(ordered_pair(apply(X3,X7),apply(X3,X8)),X2) )
& X4 = X6
& ? [X9,X10] :
( X6 = ordered_pair(X9,X10)
& in(ordered_pair(apply(X3,X9),apply(X3,X10)),X2) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,cartesian_product2(X1,X1))
& X6 = X5
& ? [X11,X12] :
( X5 = ordered_pair(X11,X12)
& in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2) ) ) ) ) ),
file('/tmp/tmpNtAbcz/sel_SEU277+1.p_1',s1_tarski__e6_21__wellord2__1) ).
fof(21,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X2)
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,cartesian_product2(X1,X1))
& ? [X6,X7] :
( X5 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ) ) ) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(48,negated_conjecture,
? [X1,X2,X3] :
( relation(X2)
& relation(X3)
& function(X3)
& ! [X4] :
? [X5] :
( ( ~ in(X5,X4)
| ~ in(X5,cartesian_product2(X1,X1))
| ! [X6,X7] :
( X5 != ordered_pair(X6,X7)
| ~ in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ) )
& ( in(X5,X4)
| ( in(X5,cartesian_product2(X1,X1))
& ? [X6,X7] :
( X5 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(49,negated_conjecture,
? [X8,X9,X10] :
( relation(X9)
& relation(X10)
& function(X10)
& ! [X11] :
? [X12] :
( ( ~ in(X12,X11)
| ~ in(X12,cartesian_product2(X8,X8))
| ! [X13,X14] :
( X12 != ordered_pair(X13,X14)
| ~ in(ordered_pair(apply(X10,X13),apply(X10,X14)),X9) ) )
& ( in(X12,X11)
| ( in(X12,cartesian_product2(X8,X8))
& ? [X15,X16] :
( X12 = ordered_pair(X15,X16)
& in(ordered_pair(apply(X10,X15),apply(X10,X16)),X9) ) ) ) ) ),
inference(variable_rename,[status(thm)],[48]) ).
fof(50,negated_conjecture,
( relation(esk5_0)
& relation(esk6_0)
& function(esk6_0)
& ! [X11] :
( ( ~ in(esk7_1(X11),X11)
| ~ in(esk7_1(X11),cartesian_product2(esk4_0,esk4_0))
| ! [X13,X14] :
( esk7_1(X11) != ordered_pair(X13,X14)
| ~ in(ordered_pair(apply(esk6_0,X13),apply(esk6_0,X14)),esk5_0) ) )
& ( in(esk7_1(X11),X11)
| ( in(esk7_1(X11),cartesian_product2(esk4_0,esk4_0))
& esk7_1(X11) = ordered_pair(esk8_1(X11),esk9_1(X11))
& in(ordered_pair(apply(esk6_0,esk8_1(X11)),apply(esk6_0,esk9_1(X11))),esk5_0) ) ) ) ),
inference(skolemize,[status(esa)],[49]) ).
fof(51,negated_conjecture,
! [X11,X13,X14] :
( ( esk7_1(X11) != ordered_pair(X13,X14)
| ~ in(ordered_pair(apply(esk6_0,X13),apply(esk6_0,X14)),esk5_0)
| ~ in(esk7_1(X11),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X11),X11) )
& ( in(esk7_1(X11),X11)
| ( in(esk7_1(X11),cartesian_product2(esk4_0,esk4_0))
& esk7_1(X11) = ordered_pair(esk8_1(X11),esk9_1(X11))
& in(ordered_pair(apply(esk6_0,esk8_1(X11)),apply(esk6_0,esk9_1(X11))),esk5_0) ) )
& relation(esk5_0)
& relation(esk6_0)
& function(esk6_0) ),
inference(shift_quantors,[status(thm)],[50]) ).
fof(52,negated_conjecture,
! [X11,X13,X14] :
( ( esk7_1(X11) != ordered_pair(X13,X14)
| ~ in(ordered_pair(apply(esk6_0,X13),apply(esk6_0,X14)),esk5_0)
| ~ in(esk7_1(X11),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X11),X11) )
& ( in(esk7_1(X11),cartesian_product2(esk4_0,esk4_0))
| in(esk7_1(X11),X11) )
& ( esk7_1(X11) = ordered_pair(esk8_1(X11),esk9_1(X11))
| in(esk7_1(X11),X11) )
& ( in(ordered_pair(apply(esk6_0,esk8_1(X11)),apply(esk6_0,esk9_1(X11))),esk5_0)
| in(esk7_1(X11),X11) )
& relation(esk5_0)
& relation(esk6_0)
& function(esk6_0) ),
inference(distribute,[status(thm)],[51]) ).
cnf(53,negated_conjecture,
function(esk6_0),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(54,negated_conjecture,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(55,negated_conjecture,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(56,negated_conjecture,
( in(esk7_1(X1),X1)
| in(ordered_pair(apply(esk6_0,esk8_1(X1)),apply(esk6_0,esk9_1(X1))),esk5_0) ),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(57,negated_conjecture,
( in(esk7_1(X1),X1)
| esk7_1(X1) = ordered_pair(esk8_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(58,negated_conjecture,
( in(esk7_1(X1),X1)
| in(esk7_1(X1),cartesian_product2(esk4_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(59,negated_conjecture,
( ~ in(esk7_1(X1),X1)
| ~ in(esk7_1(X1),cartesian_product2(esk4_0,esk4_0))
| ~ in(ordered_pair(apply(esk6_0,X2),apply(esk6_0,X3)),esk5_0)
| esk7_1(X1) != ordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(67,plain,
! [X1,X2,X3] :
( ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ? [X4,X5,X6] :
( X4 = X5
& ? [X7,X8] :
( X5 = ordered_pair(X7,X8)
& in(ordered_pair(apply(X3,X7),apply(X3,X8)),X2) )
& X4 = X6
& ? [X9,X10] :
( X6 = ordered_pair(X9,X10)
& in(ordered_pair(apply(X3,X9),apply(X3,X10)),X2) )
& X5 != X6 )
| ? [X4] :
! [X5] :
( ( ~ in(X5,X4)
| ? [X6] :
( in(X6,cartesian_product2(X1,X1))
& X6 = X5
& ? [X11,X12] :
( X5 = ordered_pair(X11,X12)
& in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2) ) ) )
& ( ! [X6] :
( ~ in(X6,cartesian_product2(X1,X1))
| X6 != X5
| ! [X11,X12] :
( X5 != ordered_pair(X11,X12)
| ~ in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2) ) )
| in(X5,X4) ) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(68,plain,
! [X13,X14,X15] :
( ~ relation(X14)
| ~ relation(X15)
| ~ function(X15)
| ? [X16,X17,X18] :
( X16 = X17
& ? [X19,X20] :
( X17 = ordered_pair(X19,X20)
& in(ordered_pair(apply(X15,X19),apply(X15,X20)),X14) )
& X16 = X18
& ? [X21,X22] :
( X18 = ordered_pair(X21,X22)
& in(ordered_pair(apply(X15,X21),apply(X15,X22)),X14) )
& X17 != X18 )
| ? [X23] :
! [X24] :
( ( ~ in(X24,X23)
| ? [X25] :
( in(X25,cartesian_product2(X13,X13))
& X25 = X24
& ? [X26,X27] :
( X24 = ordered_pair(X26,X27)
& in(ordered_pair(apply(X15,X26),apply(X15,X27)),X14) ) ) )
& ( ! [X28] :
( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| ! [X29,X30] :
( X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14) ) )
| in(X24,X23) ) ) ),
inference(variable_rename,[status(thm)],[67]) ).
fof(69,plain,
! [X13,X14,X15] :
( ~ relation(X14)
| ~ relation(X15)
| ~ function(X15)
| ( esk11_3(X13,X14,X15) = esk12_3(X13,X14,X15)
& esk12_3(X13,X14,X15) = ordered_pair(esk14_3(X13,X14,X15),esk15_3(X13,X14,X15))
& in(ordered_pair(apply(X15,esk14_3(X13,X14,X15)),apply(X15,esk15_3(X13,X14,X15))),X14)
& esk11_3(X13,X14,X15) = esk13_3(X13,X14,X15)
& esk13_3(X13,X14,X15) = ordered_pair(esk16_3(X13,X14,X15),esk17_3(X13,X14,X15))
& in(ordered_pair(apply(X15,esk16_3(X13,X14,X15)),apply(X15,esk17_3(X13,X14,X15))),X14)
& esk12_3(X13,X14,X15) != esk13_3(X13,X14,X15) )
| ! [X24] :
( ( ~ in(X24,esk18_3(X13,X14,X15))
| ( in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
& esk19_4(X13,X14,X15,X24) = X24
& X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
& in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14) ) )
& ( ! [X28] :
( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| ! [X29,X30] :
( X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14) ) )
| in(X24,esk18_3(X13,X14,X15)) ) ) ),
inference(skolemize,[status(esa)],[68]) ).
fof(70,plain,
! [X13,X14,X15,X24,X28,X29,X30] :
( ( ( X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| in(X24,esk18_3(X13,X14,X15)) )
& ( ~ in(X24,esk18_3(X13,X14,X15))
| ( in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
& esk19_4(X13,X14,X15,X24) = X24
& X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
& in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14) ) ) )
| ( esk11_3(X13,X14,X15) = esk12_3(X13,X14,X15)
& esk12_3(X13,X14,X15) = ordered_pair(esk14_3(X13,X14,X15),esk15_3(X13,X14,X15))
& in(ordered_pair(apply(X15,esk14_3(X13,X14,X15)),apply(X15,esk15_3(X13,X14,X15))),X14)
& esk11_3(X13,X14,X15) = esk13_3(X13,X14,X15)
& esk13_3(X13,X14,X15) = ordered_pair(esk16_3(X13,X14,X15),esk17_3(X13,X14,X15))
& in(ordered_pair(apply(X15,esk16_3(X13,X14,X15)),apply(X15,esk17_3(X13,X14,X15))),X14)
& esk12_3(X13,X14,X15) != esk13_3(X13,X14,X15) )
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) ),
inference(shift_quantors,[status(thm)],[69]) ).
fof(71,plain,
! [X13,X14,X15,X24,X28,X29,X30] :
( ( esk11_3(X13,X14,X15) = esk12_3(X13,X14,X15)
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) = ordered_pair(esk14_3(X13,X14,X15),esk15_3(X13,X14,X15))
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk14_3(X13,X14,X15)),apply(X15,esk15_3(X13,X14,X15))),X14)
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk13_3(X13,X14,X15)
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk13_3(X13,X14,X15) = ordered_pair(esk16_3(X13,X14,X15),esk17_3(X13,X14,X15))
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_3(X13,X14,X15)),apply(X15,esk17_3(X13,X14,X15))),X14)
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) != esk13_3(X13,X14,X15)
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk12_3(X13,X14,X15)
| in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) = ordered_pair(esk14_3(X13,X14,X15),esk15_3(X13,X14,X15))
| in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk14_3(X13,X14,X15)),apply(X15,esk15_3(X13,X14,X15))),X14)
| in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk13_3(X13,X14,X15)
| in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk13_3(X13,X14,X15) = ordered_pair(esk16_3(X13,X14,X15),esk17_3(X13,X14,X15))
| in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_3(X13,X14,X15)),apply(X15,esk17_3(X13,X14,X15))),X14)
| in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) != esk13_3(X13,X14,X15)
| in(esk19_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk12_3(X13,X14,X15)
| esk19_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) = ordered_pair(esk14_3(X13,X14,X15),esk15_3(X13,X14,X15))
| esk19_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk14_3(X13,X14,X15)),apply(X15,esk15_3(X13,X14,X15))),X14)
| esk19_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk13_3(X13,X14,X15)
| esk19_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk13_3(X13,X14,X15) = ordered_pair(esk16_3(X13,X14,X15),esk17_3(X13,X14,X15))
| esk19_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_3(X13,X14,X15)),apply(X15,esk17_3(X13,X14,X15))),X14)
| esk19_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) != esk13_3(X13,X14,X15)
| esk19_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk12_3(X13,X14,X15)
| X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) = ordered_pair(esk14_3(X13,X14,X15),esk15_3(X13,X14,X15))
| X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk14_3(X13,X14,X15)),apply(X15,esk15_3(X13,X14,X15))),X14)
| X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk13_3(X13,X14,X15)
| X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk13_3(X13,X14,X15) = ordered_pair(esk16_3(X13,X14,X15),esk17_3(X13,X14,X15))
| X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_3(X13,X14,X15)),apply(X15,esk17_3(X13,X14,X15))),X14)
| X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) != esk13_3(X13,X14,X15)
| X24 = ordered_pair(esk20_4(X13,X14,X15,X24),esk21_4(X13,X14,X15,X24))
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk12_3(X13,X14,X15)
| in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) = ordered_pair(esk14_3(X13,X14,X15),esk15_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk14_3(X13,X14,X15)),apply(X15,esk15_3(X13,X14,X15))),X14)
| in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk11_3(X13,X14,X15) = esk13_3(X13,X14,X15)
| in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk13_3(X13,X14,X15) = ordered_pair(esk16_3(X13,X14,X15),esk17_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_3(X13,X14,X15)),apply(X15,esk17_3(X13,X14,X15))),X14)
| in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk12_3(X13,X14,X15) != esk13_3(X13,X14,X15)
| in(ordered_pair(apply(X15,esk20_4(X13,X14,X15,X24)),apply(X15,esk21_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk18_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) ) ),
inference(distribute,[status(thm)],[70]) ).
cnf(72,plain,
( in(ordered_pair(apply(X1,esk20_4(X4,X2,X1,X3)),apply(X1,esk21_4(X4,X2,X1,X3))),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1))
| esk12_3(X4,X2,X1) != esk13_3(X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(75,plain,
( in(ordered_pair(apply(X1,esk20_4(X4,X2,X1,X3)),apply(X1,esk21_4(X4,X2,X1,X3))),X2)
| esk11_3(X4,X2,X1) = esk13_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1)) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(78,plain,
( in(ordered_pair(apply(X1,esk20_4(X4,X2,X1,X3)),apply(X1,esk21_4(X4,X2,X1,X3))),X2)
| esk11_3(X4,X2,X1) = esk12_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1)) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(79,plain,
( X3 = ordered_pair(esk20_4(X4,X2,X1,X3),esk21_4(X4,X2,X1,X3))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1))
| esk12_3(X4,X2,X1) != esk13_3(X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(82,plain,
( X3 = ordered_pair(esk20_4(X4,X2,X1,X3),esk21_4(X4,X2,X1,X3))
| esk11_3(X4,X2,X1) = esk13_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1)) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(85,plain,
( X3 = ordered_pair(esk20_4(X4,X2,X1,X3),esk21_4(X4,X2,X1,X3))
| esk11_3(X4,X2,X1) = esk12_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1)) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(86,plain,
( esk19_4(X4,X2,X1,X3) = X3
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1))
| esk12_3(X4,X2,X1) != esk13_3(X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(89,plain,
( esk19_4(X4,X2,X1,X3) = X3
| esk11_3(X4,X2,X1) = esk13_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1)) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(92,plain,
( esk19_4(X4,X2,X1,X3) = X3
| esk11_3(X4,X2,X1) = esk12_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1)) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(93,plain,
( in(esk19_4(X4,X2,X1,X3),cartesian_product2(X4,X4))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1))
| esk12_3(X4,X2,X1) != esk13_3(X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(96,plain,
( in(esk19_4(X4,X2,X1,X3),cartesian_product2(X4,X4))
| esk11_3(X4,X2,X1) = esk13_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1)) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(99,plain,
( in(esk19_4(X4,X2,X1,X3),cartesian_product2(X4,X4))
| esk11_3(X4,X2,X1) = esk12_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,esk18_3(X4,X2,X1)) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(100,plain,
( in(X3,esk18_3(X4,X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(X4,X4))
| ~ in(ordered_pair(apply(X1,X6),apply(X1,X7)),X2)
| X3 != ordered_pair(X6,X7)
| esk12_3(X4,X2,X1) != esk13_3(X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(103,plain,
( in(X3,esk18_3(X4,X2,X1))
| esk11_3(X4,X2,X1) = esk13_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(X4,X4))
| ~ in(ordered_pair(apply(X1,X6),apply(X1,X7)),X2)
| X3 != ordered_pair(X6,X7) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(106,plain,
( in(X3,esk18_3(X4,X2,X1))
| esk11_3(X4,X2,X1) = esk12_3(X4,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(X4,X4))
| ~ in(ordered_pair(apply(X1,X6),apply(X1,X7)),X2)
| X3 != ordered_pair(X6,X7) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(178,plain,
( esk11_3(X1,X2,X3) = esk12_3(X1,X2,X3)
| in(X4,esk18_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(ordered_pair(apply(X3,X5),apply(X3,X6)),X2)
| ~ in(X4,cartesian_product2(X1,X1))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(er,[status(thm)],[106,theory(equality)]) ).
cnf(186,plain,
( in(X4,cartesian_product2(X1,X1))
| esk13_3(X1,X2,X3) != esk12_3(X1,X2,X3)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(spm,[status(thm)],[93,86,theory(equality)]) ).
cnf(191,plain,
( esk11_3(X1,X2,X3) = esk13_3(X1,X2,X3)
| in(X4,esk18_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(ordered_pair(apply(X3,X5),apply(X3,X6)),X2)
| ~ in(X4,cartesian_product2(X1,X1))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(er,[status(thm)],[103,theory(equality)]) ).
cnf(201,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[59,78,theory(equality)]) ).
cnf(211,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[201,53,theory(equality)]) ).
cnf(212,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[211,55,theory(equality)]) ).
cnf(213,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[212,54,theory(equality)]) ).
cnf(214,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[213,theory(equality)]) ).
cnf(218,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[59,75,theory(equality)]) ).
cnf(228,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[218,53,theory(equality)]) ).
cnf(229,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[228,55,theory(equality)]) ).
cnf(230,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[229,54,theory(equality)]) ).
cnf(231,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[230,theory(equality)]) ).
cnf(235,negated_conjecture,
( ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[59,72,theory(equality)]) ).
cnf(245,negated_conjecture,
( ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[235,53,theory(equality)]) ).
cnf(246,negated_conjecture,
( ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[245,55,theory(equality)]) ).
cnf(247,negated_conjecture,
( ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[246,54,theory(equality)]) ).
cnf(248,negated_conjecture,
( ordered_pair(esk20_4(X1,esk5_0,esk6_0,X2),esk21_4(X1,esk5_0,esk6_0,X2)) != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(X3),X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[247,theory(equality)]) ).
cnf(253,plain,
( in(X1,esk18_3(X2,X3,X4))
| esk13_3(X2,X3,X4) != esk12_3(X2,X3,X4)
| ordered_pair(X5,X6) != X1
| ~ in(ordered_pair(apply(X4,X5),apply(X4,X6)),X3)
| ~ in(X1,cartesian_product2(X2,X2))
| ~ function(X4)
| ~ relation(X3)
| ~ relation(X4) ),
inference(er,[status(thm)],[100,theory(equality)]) ).
cnf(349,negated_conjecture,
( in(esk7_1(esk18_3(X1,X2,X3)),cartesian_product2(X1,X1))
| in(esk7_1(esk18_3(X1,X2,X3)),cartesian_product2(esk4_0,esk4_0))
| esk13_3(X1,X2,X3) != esk12_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(spm,[status(thm)],[186,58,theory(equality)]) ).
cnf(375,negated_conjecture,
( in(esk7_1(esk18_3(X1,X2,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| in(esk7_1(esk18_3(X1,X2,esk6_0)),cartesian_product2(X1,X1))
| esk13_3(X1,X2,esk6_0) != esk12_3(X1,X2,esk6_0)
| ~ relation(X2)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[349,53,theory(equality)]) ).
cnf(381,negated_conjecture,
( in(esk7_1(esk18_3(X1,X2,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| in(esk7_1(esk18_3(X1,X2,esk6_0)),cartesian_product2(X1,X1))
| esk13_3(X1,X2,esk6_0) != esk12_3(X1,X2,esk6_0)
| ~ relation(X2)
| $false ),
inference(rw,[status(thm)],[375,54,theory(equality)]) ).
cnf(382,negated_conjecture,
( in(esk7_1(esk18_3(X1,X2,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| in(esk7_1(esk18_3(X1,X2,esk6_0)),cartesian_product2(X1,X1))
| esk13_3(X1,X2,esk6_0) != esk12_3(X1,X2,esk6_0)
| ~ relation(X2) ),
inference(cn,[status(thm)],[381,theory(equality)]) ).
cnf(391,negated_conjecture,
( in(esk7_1(esk18_3(X1,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| in(esk7_1(esk18_3(X1,esk5_0,esk6_0)),cartesian_product2(X1,X1))
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[382,55,theory(equality)]) ).
cnf(397,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[178,56,theory(equality)]) ).
cnf(403,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[397,53,theory(equality)]) ).
cnf(404,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[403,55,theory(equality)]) ).
cnf(405,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[404,54,theory(equality)]) ).
cnf(406,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1)) ),
inference(cn,[status(thm)],[405,theory(equality)]) ).
cnf(407,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| in(ordered_pair(esk8_1(X2),esk9_1(X2)),esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X2),X2)
| ~ in(ordered_pair(esk8_1(X2),esk9_1(X2)),cartesian_product2(X1,X1)) ),
inference(er,[status(thm)],[406,theory(equality)]) ).
cnf(409,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| in(esk7_1(X2),esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X2),X2)
| ~ in(esk7_1(X2),cartesian_product2(X1,X1)) ),
inference(spm,[status(thm)],[407,57,theory(equality)]) ).
cnf(411,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(X1),esk18_3(esk4_0,esk5_0,esk6_0))
| in(esk7_1(X1),X1) ),
inference(spm,[status(thm)],[409,58,theory(equality)]) ).
cnf(414,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(ef,[status(thm)],[411,theory(equality)]) ).
cnf(558,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[92,414,theory(equality)]) ).
cnf(579,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[558,53,theory(equality)]) ).
cnf(580,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[579,55,theory(equality)]) ).
cnf(581,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[580,54,theory(equality)]) ).
cnf(582,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[581,theory(equality)]) ).
cnf(663,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[99,582,theory(equality)]) ).
cnf(669,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[663,53,theory(equality)]) ).
cnf(670,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[669,55,theory(equality)]) ).
cnf(671,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[670,54,theory(equality)]) ).
cnf(672,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[671,theory(equality)]) ).
cnf(760,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0)) ),
inference(csr,[status(thm)],[672,58]) ).
cnf(892,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[214,85,theory(equality)]) ).
cnf(895,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[892,53,theory(equality)]) ).
cnf(896,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[895,55,theory(equality)]) ).
cnf(897,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[896,54,theory(equality)]) ).
cnf(898,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3) ),
inference(cn,[status(thm)],[897,theory(equality)]) ).
cnf(910,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| X2 != esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[898,760,theory(equality)]) ).
cnf(966,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[231,82,theory(equality)]) ).
cnf(972,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[966,53,theory(equality)]) ).
cnf(973,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[972,55,theory(equality)]) ).
cnf(974,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[973,54,theory(equality)]) ).
cnf(975,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(X3)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3) ),
inference(cn,[status(thm)],[974,theory(equality)]) ).
cnf(1010,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[191,56,theory(equality)]) ).
cnf(1018,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[1010,53,theory(equality)]) ).
cnf(1019,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[1018,55,theory(equality)]) ).
cnf(1020,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1019,54,theory(equality)]) ).
cnf(1021,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| in(X2,esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X2
| ~ in(X2,cartesian_product2(X1,X1)) ),
inference(cn,[status(thm)],[1020,theory(equality)]) ).
cnf(1026,negated_conjecture,
( X2 != esk7_1(X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[248,79,theory(equality)]) ).
cnf(1035,negated_conjecture,
( X2 != esk7_1(X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[1026,53,theory(equality)]) ).
cnf(1036,negated_conjecture,
( X2 != esk7_1(X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[1035,55,theory(equality)]) ).
cnf(1037,negated_conjecture,
( X2 != esk7_1(X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1036,54,theory(equality)]) ).
cnf(1038,negated_conjecture,
( X2 != esk7_1(X3)
| esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(esk7_1(X3),cartesian_product2(esk4_0,esk4_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(X3),X3) ),
inference(cn,[status(thm)],[1037,theory(equality)]) ).
cnf(2136,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0)) ),
inference(csr,[status(thm)],[910,414]) ).
cnf(2137,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk11_3(X1,esk5_0,esk6_0) = esk12_3(X1,esk5_0,esk6_0)
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(X1,esk5_0,esk6_0)) ),
inference(er,[status(thm)],[2136,theory(equality)]) ).
cnf(2138,negated_conjecture,
esk11_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[2137,414,theory(equality)]) ).
cnf(2187,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| in(ordered_pair(esk8_1(X2),esk9_1(X2)),esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X2),X2)
| ~ in(ordered_pair(esk8_1(X2),esk9_1(X2)),cartesian_product2(X1,X1)) ),
inference(er,[status(thm)],[1021,theory(equality)]) ).
cnf(2189,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| in(esk7_1(X2),esk18_3(X1,esk5_0,esk6_0))
| in(esk7_1(X2),X2)
| ~ in(esk7_1(X2),cartesian_product2(X1,X1)) ),
inference(spm,[status(thm)],[2187,57,theory(equality)]) ).
cnf(2191,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(X1),esk18_3(esk4_0,esk5_0,esk6_0))
| in(esk7_1(X1),X1) ),
inference(spm,[status(thm)],[2189,58,theory(equality)]) ).
cnf(2198,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(X1),esk18_3(esk4_0,esk5_0,esk6_0))
| in(esk7_1(X1),X1) ),
inference(rw,[status(thm)],[2191,2138,theory(equality)]) ).
cnf(2202,negated_conjecture,
( esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(ef,[status(thm)],[2198,theory(equality)]) ).
cnf(2382,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[89,2202,theory(equality)]) ).
cnf(2410,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[2382,2138,theory(equality)]) ).
cnf(2411,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[2410,53,theory(equality)]) ).
cnf(2412,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[2411,55,theory(equality)]) ).
cnf(2413,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2412,54,theory(equality)]) ).
cnf(2414,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| esk19_4(esk4_0,esk5_0,esk6_0,esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))) = esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[2413,theory(equality)]) ).
cnf(2497,negated_conjecture,
( esk11_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[96,2414,theory(equality)]) ).
cnf(2511,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[2497,2138,theory(equality)]) ).
cnf(2512,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[2511,53,theory(equality)]) ).
cnf(2513,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[2512,55,theory(equality)]) ).
cnf(2514,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2513,54,theory(equality)]) ).
cnf(2515,negated_conjecture,
( esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[2514,theory(equality)]) ).
cnf(2648,negated_conjecture,
( esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0)) ),
inference(csr,[status(thm)],[2515,58]) ).
cnf(2654,negated_conjecture,
( esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| X2 != esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[975,2648,theory(equality)]) ).
cnf(4197,negated_conjecture,
( esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0)) ),
inference(csr,[status(thm)],[2654,2202]) ).
cnf(4198,negated_conjecture,
( esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk11_3(X1,esk5_0,esk6_0) = esk13_3(X1,esk5_0,esk6_0)
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(X1,esk5_0,esk6_0)) ),
inference(er,[status(thm)],[4197,theory(equality)]) ).
cnf(4199,negated_conjecture,
( esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk11_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[4198,2202,theory(equality)]) ).
cnf(4200,negated_conjecture,
( esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0)
| esk12_3(esk4_0,esk5_0,esk6_0) = esk13_3(esk4_0,esk5_0,esk6_0) ),
inference(rw,[status(thm)],[4199,2138,theory(equality)]) ).
cnf(4201,negated_conjecture,
esk13_3(esk4_0,esk5_0,esk6_0) = esk12_3(esk4_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[4200,theory(equality)]) ).
cnf(4202,negated_conjecture,
in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),cartesian_product2(esk4_0,esk4_0)),
inference(spm,[status(thm)],[391,4201,theory(equality)]) ).
cnf(4264,negated_conjecture,
( esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0))
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[1038,4202,theory(equality)]) ).
cnf(4916,negated_conjecture,
( in(X1,esk18_3(X2,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| esk13_3(X2,esk5_0,esk6_0) != esk12_3(X2,esk5_0,esk6_0)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X1
| ~ in(X1,cartesian_product2(X2,X2))
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[253,56,theory(equality)]) ).
cnf(4924,negated_conjecture,
( in(X1,esk18_3(X2,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| esk13_3(X2,esk5_0,esk6_0) != esk12_3(X2,esk5_0,esk6_0)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X1
| ~ in(X1,cartesian_product2(X2,X2))
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[4916,53,theory(equality)]) ).
cnf(4925,negated_conjecture,
( in(X1,esk18_3(X2,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| esk13_3(X2,esk5_0,esk6_0) != esk12_3(X2,esk5_0,esk6_0)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X1
| ~ in(X1,cartesian_product2(X2,X2))
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[4924,55,theory(equality)]) ).
cnf(4926,negated_conjecture,
( in(X1,esk18_3(X2,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| esk13_3(X2,esk5_0,esk6_0) != esk12_3(X2,esk5_0,esk6_0)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X1
| ~ in(X1,cartesian_product2(X2,X2))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4925,54,theory(equality)]) ).
cnf(4927,negated_conjecture,
( in(X1,esk18_3(X2,esk5_0,esk6_0))
| in(esk7_1(X3),X3)
| esk13_3(X2,esk5_0,esk6_0) != esk12_3(X2,esk5_0,esk6_0)
| ordered_pair(esk8_1(X3),esk9_1(X3)) != X1
| ~ in(X1,cartesian_product2(X2,X2)) ),
inference(cn,[status(thm)],[4926,theory(equality)]) ).
cnf(4946,negated_conjecture,
( in(ordered_pair(esk8_1(X1),esk9_1(X1)),esk18_3(X2,esk5_0,esk6_0))
| in(esk7_1(X1),X1)
| esk13_3(X2,esk5_0,esk6_0) != esk12_3(X2,esk5_0,esk6_0)
| ~ in(ordered_pair(esk8_1(X1),esk9_1(X1)),cartesian_product2(X2,X2)) ),
inference(er,[status(thm)],[4927,theory(equality)]) ).
cnf(4948,negated_conjecture,
( in(esk7_1(X1),esk18_3(X2,esk5_0,esk6_0))
| in(esk7_1(X1),X1)
| esk13_3(X2,esk5_0,esk6_0) != esk12_3(X2,esk5_0,esk6_0)
| ~ in(esk7_1(X1),cartesian_product2(X2,X2)) ),
inference(spm,[status(thm)],[4946,57,theory(equality)]) ).
cnf(4950,negated_conjecture,
( in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| esk13_3(esk4_0,esk5_0,esk6_0) != esk12_3(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[4948,4202,theory(equality)]) ).
cnf(4993,negated_conjecture,
( in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0))
| $false ),
inference(rw,[status(thm)],[4950,4201,theory(equality)]) ).
cnf(4994,negated_conjecture,
in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(esk4_0,esk5_0,esk6_0)),
inference(cn,[status(thm)],[4993,theory(equality)]) ).
cnf(5026,negated_conjecture,
( esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| $false
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0)) ),
inference(rw,[status(thm)],[4264,4994,theory(equality)]) ).
cnf(5027,negated_conjecture,
( esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| X2 != esk7_1(esk18_3(esk4_0,esk5_0,esk6_0))
| ~ in(X2,esk18_3(X1,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[5026,theory(equality)]) ).
cnf(5334,negated_conjecture,
( esk13_3(X1,esk5_0,esk6_0) != esk12_3(X1,esk5_0,esk6_0)
| ~ in(esk7_1(esk18_3(esk4_0,esk5_0,esk6_0)),esk18_3(X1,esk5_0,esk6_0)) ),
inference(er,[status(thm)],[5027,theory(equality)]) ).
cnf(5338,negated_conjecture,
esk13_3(esk4_0,esk5_0,esk6_0) != esk12_3(esk4_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[5334,4994,theory(equality)]) ).
cnf(5339,negated_conjecture,
$false,
inference(rw,[status(thm)],[5338,4201,theory(equality)]) ).
cnf(5340,negated_conjecture,
$false,
inference(cn,[status(thm)],[5339,theory(equality)]) ).
cnf(5341,negated_conjecture,
$false,
5340,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU277+1.p
% --creating new selector for []
% -running prover on /tmp/tmpNtAbcz/sel_SEU277+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU277+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU277+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU277+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
%
%------------------------------------------------------------------------------