TSTP Solution File: SEU277+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:18:32 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 74 ( 10 unt; 0 def)
% Number of atoms : 546 ( 157 equ)
% Maximal formula atoms : 231 ( 7 avg)
% Number of connectives : 800 ( 328 ~; 406 |; 58 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 6 avg)
% Maximal term depth : 6 ( 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 : 189 ( 1 sgn 26 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e6_21__wellord2__1,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('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_tarski__e6_21__wellord2__1) ).
fof(s1_xboole_0__e6_21__wellord2__1,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('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_xboole_0__e6_21__wellord2__1) ).
fof(c_0_2,plain,
! [X13,X14,X15,X24,X24,X28,X29,X30] :
( ( in(esk15_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( X24 = ordered_pair(esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_4(X13,X14,X15,X24)),apply(X15,esk17_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(esk15_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) = ordered_pair(esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) = ordered_pair(esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( X24 = ordered_pair(esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) = ordered_pair(esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_4(X13,X14,X15,X24)),apply(X15,esk17_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) = ordered_pair(esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) = ordered_pair(esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(esk15_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk10_3(X13,X14,X15)),apply(X15,esk11_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk10_3(X13,X14,X15)),apply(X15,esk11_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( X24 = ordered_pair(esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk10_3(X13,X14,X15)),apply(X15,esk11_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_4(X13,X14,X15,X24)),apply(X15,esk17_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk10_3(X13,X14,X15)),apply(X15,esk11_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk10_3(X13,X14,X15)),apply(X15,esk11_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(esk15_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( X24 = ordered_pair(esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_4(X13,X14,X15,X24)),apply(X15,esk17_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(esk15_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk9_3(X13,X14,X15) = ordered_pair(esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk9_3(X13,X14,X15) = ordered_pair(esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( X24 = ordered_pair(esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk9_3(X13,X14,X15) = ordered_pair(esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_4(X13,X14,X15,X24)),apply(X15,esk17_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk9_3(X13,X14,X15) = ordered_pair(esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| in(X24,esk14_3(X13,X14,X15))
| esk9_3(X13,X14,X15) = ordered_pair(esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(esk15_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk12_3(X13,X14,X15)),apply(X15,esk13_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk12_3(X13,X14,X15)),apply(X15,esk13_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( X24 = ordered_pair(esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk12_3(X13,X14,X15)),apply(X15,esk13_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_4(X13,X14,X15,X24)),apply(X15,esk17_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk12_3(X13,X14,X15)),apply(X15,esk13_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| in(X24,esk14_3(X13,X14,X15))
| in(ordered_pair(apply(X15,esk12_3(X13,X14,X15)),apply(X15,esk13_3(X13,X14,X15))),X14)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(esk15_4(X13,X14,X15,X24),cartesian_product2(X13,X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( X24 = ordered_pair(esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( in(ordered_pair(apply(X15,esk16_4(X13,X14,X15,X24)),apply(X15,esk17_4(X13,X14,X15,X24))),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) )
& ( ~ in(X28,cartesian_product2(X13,X13))
| X28 != X24
| X24 != ordered_pair(X29,X30)
| ~ in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)
| in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| ~ relation(X14)
| ~ relation(X15)
| ~ function(X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e6_21__wellord2__1])])])])])])]) ).
fof(c_0_3,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)],[s1_xboole_0__e6_21__wellord2__1]) ).
cnf(c_0_4,plain,
( esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| in(X4,esk14_3(X3,X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(ordered_pair(apply(X1,X5),apply(X1,X6)),X2)
| X4 != ordered_pair(X5,X6)
| X7 != X4
| ~ in(X7,cartesian_product2(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X11,X13,X14] :
( relation(esk2_0)
& relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk4_1(X11),X11)
| ~ in(esk4_1(X11),cartesian_product2(esk1_0,esk1_0))
| esk4_1(X11) != ordered_pair(X13,X14)
| ~ in(ordered_pair(apply(esk3_0,X13),apply(esk3_0,X14)),esk2_0) )
& ( in(esk4_1(X11),cartesian_product2(esk1_0,esk1_0))
| in(esk4_1(X11),X11) )
& ( esk4_1(X11) = ordered_pair(esk5_1(X11),esk6_1(X11))
| in(esk4_1(X11),X11) )
& ( in(ordered_pair(apply(esk3_0,esk5_1(X11)),apply(esk3_0,esk6_1(X11))),esk2_0)
| in(esk4_1(X11),X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
cnf(c_0_6,plain,
( esk7_3(X1,X2,X3) = esk8_3(X1,X2,X3)
| in(X4,esk14_3(X1,X2,X3))
| X4 != ordered_pair(X5,X6)
| ~ 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)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk4_1(X1),X1)
| in(ordered_pair(apply(esk3_0,esk5_1(X1)),apply(esk3_0,esk6_1(X1))),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( esk7_3(X1,esk2_0,esk3_0) = esk8_3(X1,esk2_0,esk3_0)
| in(X2,esk14_3(X1,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| X2 != ordered_pair(esk5_1(X3),esk6_1(X3))
| ~ in(X2,cartesian_product2(X1,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_12,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(X1) = ordered_pair(esk5_1(X1),esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( esk7_3(X1,esk2_0,esk3_0) = esk8_3(X1,esk2_0,esk3_0)
| in(X2,esk14_3(X1,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| X2 != esk4_1(X3)
| ~ in(X2,cartesian_product2(X1,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2)
| esk4_1(X1) != esk4_1(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_17,plain,
( esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| in(X4,esk14_3(X3,X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(ordered_pair(apply(X1,X5),apply(X1,X6)),X2)
| X4 != ordered_pair(X5,X6)
| X7 != X4
| ~ in(X7,cartesian_product2(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,plain,
( esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| in(esk15_4(X3,X2,X1,X4),cartesian_product2(X3,X3))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk14_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| esk15_4(X3,X2,X1,X4) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,plain,
( esk7_3(X1,X2,X3) = esk9_3(X1,X2,X3)
| in(X4,esk14_3(X1,X2,X3))
| X4 != ordered_pair(X5,X6)
| ~ 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)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( ~ in(ordered_pair(apply(esk3_0,X1),apply(esk3_0,X2)),esk2_0)
| esk4_1(X3) != ordered_pair(X1,X2)
| ~ in(esk4_1(X3),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_24,negated_conjecture,
( esk15_4(X1,X2,X3,esk4_1(esk14_3(X1,X2,X3))) = esk4_1(esk14_3(X1,X2,X3))
| esk7_3(X1,X2,X3) = esk8_3(X1,X2,X3)
| in(esk4_1(esk14_3(X1,X2,X3)),cartesian_product2(esk1_0,esk1_0))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_25,plain,
( in(X4,esk14_3(X3,X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(ordered_pair(apply(X1,X5),apply(X1,X6)),X2)
| X4 != ordered_pair(X5,X6)
| X7 != X4
| ~ in(X7,cartesian_product2(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( esk7_3(X1,esk2_0,esk3_0) = esk9_3(X1,esk2_0,esk3_0)
| in(X2,esk14_3(X1,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| X2 != ordered_pair(esk5_1(X3),esk6_1(X3))
| ~ in(X2,cartesian_product2(X1,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_7]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_27,plain,
( esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| in(ordered_pair(apply(X1,esk16_4(X3,X2,X1,X4)),apply(X1,esk17_4(X3,X2,X1,X4))),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(X2) != ordered_pair(esk5_1(X1),esk6_1(X1))
| ~ in(esk4_1(X2),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X2),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_29,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_30,plain,
( in(X1,esk14_3(X2,X3,X4))
| esk9_3(X2,X3,X4) != esk8_3(X2,X3,X4)
| X1 != ordered_pair(X5,X6)
| ~ 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)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( esk7_3(X1,esk2_0,esk3_0) = esk9_3(X1,esk2_0,esk3_0)
| in(X2,esk14_3(X1,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| X2 != esk4_1(X3)
| ~ in(X2,cartesian_product2(X1,X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_12]) ).
cnf(c_0_32,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(ordered_pair(apply(esk3_0,esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_19]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_33,plain,
( esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| X4 = ordered_pair(esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| ordered_pair(esk5_1(X1),esk6_1(X1)) != esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_19]) ).
cnf(c_0_35,negated_conjecture,
( in(X1,esk14_3(X2,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| esk9_3(X2,esk2_0,esk3_0) != esk8_3(X2,esk2_0,esk3_0)
| X1 != ordered_pair(esk5_1(X3),esk6_1(X3))
| ~ in(X1,cartesian_product2(X2,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_7]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_36,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2)
| esk4_1(X1) != esk4_1(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_14]) ).
cnf(c_0_37,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != ordered_pair(esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))))
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( ordered_pair(esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_19]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_39,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(X1) != esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_12]) ).
cnf(c_0_40,negated_conjecture,
( in(X1,esk14_3(X2,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| esk9_3(X2,esk2_0,esk3_0) != esk8_3(X2,esk2_0,esk3_0)
| X1 != esk4_1(X3)
| ~ in(X1,cartesian_product2(X2,X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_12]) ).
cnf(c_0_41,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2)
| esk9_3(esk1_0,esk2_0,esk3_0) != esk8_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_14]) ).
cnf(c_0_44,plain,
( esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| in(esk15_4(X3,X2,X1,X4),cartesian_product2(X3,X3))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk14_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_41]) ).
cnf(c_0_46,plain,
( esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| esk15_4(X3,X2,X1,X4) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_47,negated_conjecture,
esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_48,negated_conjecture,
( in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk9_3(esk1_0,esk2_0,esk3_0) != esk8_3(esk1_0,esk2_0,esk3_0) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_50,negated_conjecture,
( esk15_4(X1,X2,X3,esk4_1(esk14_3(X1,X2,X3))) = esk4_1(esk14_3(X1,X2,X3))
| esk7_3(X1,X2,X3) = esk9_3(X1,X2,X3)
| in(esk4_1(esk14_3(X1,X2,X3)),cartesian_product2(esk1_0,esk1_0))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_14]) ).
cnf(c_0_51,plain,
( in(ordered_pair(apply(X1,esk16_4(X3,X2,X1,X4)),apply(X1,esk17_4(X3,X2,X1,X4))),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_52,plain,
( in(esk15_4(X3,X2,X1,X4),cartesian_product2(X3,X3))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,plain,
( esk15_4(X3,X2,X1,X4) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,negated_conjecture,
( in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_47]),c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_56,negated_conjecture,
( esk4_1(X1) != ordered_pair(esk16_4(X2,esk2_0,esk3_0,X3),esk17_4(X2,esk2_0,esk3_0,X3))
| esk9_3(X2,esk2_0,esk3_0) != esk8_3(X2,esk2_0,esk3_0)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(X3,esk14_3(X2,esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_51]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_57,plain,
( X4 = ordered_pair(esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_58,plain,
( in(X1,cartesian_product2(X2,X2))
| esk9_3(X2,X3,X4) != esk8_3(X2,X3,X4)
| ~ in(X1,esk14_3(X2,X3,X4))
| ~ function(X4)
| ~ relation(X3)
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk14_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
inference(rw,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_61,negated_conjecture,
( esk9_3(X1,esk2_0,esk3_0) != esk8_3(X1,esk2_0,esk3_0)
| esk4_1(X2) != X3
| ~ in(esk4_1(X2),cartesian_product2(esk1_0,esk1_0))
| ~ in(X3,esk14_3(X1,esk2_0,esk3_0))
| ~ in(esk4_1(X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_62,negated_conjecture,
in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_8]),c_0_9]),c_0_10])]),c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( esk9_3(X1,esk2_0,esk3_0) != esk8_3(X1,esk2_0,esk3_0)
| esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)) != X2
| ~ in(X2,esk14_3(X1,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_59])]) ).
cnf(c_0_64,negated_conjecture,
( esk9_3(X1,esk2_0,esk3_0) != esk8_3(X1,esk2_0,esk3_0)
| ~ in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk14_3(X1,esk2_0,esk3_0)) ),
inference(er,[status(thm)],[c_0_63]) ).
cnf(c_0_65,plain,
( esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| in(ordered_pair(apply(X1,esk16_4(X3,X2,X1,X4)),apply(X1,esk17_4(X3,X2,X1,X4))),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_66,negated_conjecture,
esk9_3(esk1_0,esk2_0,esk3_0) != esk8_3(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_67,plain,
( esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| X4 = ordered_pair(esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_68,negated_conjecture,
( in(esk4_1(X1),X1)
| ordered_pair(esk5_1(X1),esk6_1(X1)) != esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_62]),c_0_59])]) ).
cnf(c_0_69,negated_conjecture,
in(ordered_pair(apply(esk3_0,esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))))),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_47]),c_0_8]),c_0_9]),c_0_10])]),c_0_66]) ).
cnf(c_0_70,negated_conjecture,
ordered_pair(esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_59]),c_0_47]),c_0_8]),c_0_9]),c_0_10])]),c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(X1) != esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_12]) ).
cnf(c_0_72,negated_conjecture,
( esk4_1(X1) != esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_72,c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 21:20:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.018 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 74
% 0.21/1.40 # Proof object clause steps : 69
% 0.21/1.40 # Proof object formula steps : 5
% 0.21/1.40 # Proof object conjectures : 53
% 0.21/1.40 # Proof object clause conjectures : 50
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 22
% 0.21/1.40 # Proof object initial formulas used : 2
% 0.21/1.40 # Proof object generating inferences : 42
% 0.21/1.40 # Proof object simplifying inferences : 75
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 20
% 0.21/1.40 # Removed by relevancy pruning/SinE : 11
% 0.21/1.40 # Initial clauses : 52
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 52
% 0.21/1.40 # Processed clauses : 1193
% 0.21/1.40 # ...of these trivial : 27
% 0.21/1.40 # ...subsumed : 730
% 0.21/1.40 # ...remaining for further processing : 436
% 0.21/1.40 # Other redundant clauses eliminated : 12
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 45
% 0.21/1.40 # Backward-rewritten : 98
% 0.21/1.40 # Generated clauses : 4803
% 0.21/1.40 # ...of the previous two non-trivial : 4415
% 0.21/1.40 # Contextual simplify-reflections : 1131
% 0.21/1.40 # Paramodulations : 4736
% 0.21/1.40 # Factorizations : 8
% 0.21/1.40 # Equation resolutions : 56
% 0.21/1.40 # Current number of processed clauses : 283
% 0.21/1.40 # Positive orientable unit clauses : 17
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 7
% 0.21/1.40 # Non-unit-clauses : 259
% 0.21/1.40 # Current number of unprocessed clauses: 1589
% 0.21/1.40 # ...number of literals in the above : 13980
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 146
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 29012
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 7942
% 0.21/1.40 # Non-unit clause-clause subsumptions : 1863
% 0.21/1.40 # Unit Clause-clause subsumption calls : 354
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 25
% 0.21/1.40 # BW rewrite match successes : 4
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 217206
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.331 s
% 0.21/1.40 # System time : 0.007 s
% 0.21/1.40 # Total time : 0.338 s
% 0.21/1.40 # Maximum resident set size: 6520 pages
%------------------------------------------------------------------------------