TSTP Solution File: SEU281+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU281+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 09:18:35 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of formulae : 78 ( 5 unt; 0 def)
% Number of atoms : 469 ( 230 equ)
% Maximal formula atoms : 198 ( 6 avg)
% Number of connectives : 593 ( 202 ~; 312 |; 74 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 2 con; 0-3 aty)
% Number of variables : 179 ( 3 sgn 22 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e16_22__wellord2__2,axiom,
! [X1,X2] :
( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,X1)
& X7 = singleton(X6) )
& X3 = X5
& ? [X8,X9] :
( ordered_pair(X8,X9) = X5
& in(X8,X1)
& X9 = singleton(X8) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,cartesian_product2(X1,X2))
& X5 = X4
& ? [X10,X11] :
( ordered_pair(X10,X11) = X4
& in(X10,X1)
& X11 = singleton(X10) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_tarski__e16_22__wellord2__2) ).
fof(s1_xboole_0__e16_22__wellord2__1,conjecture,
! [X1,X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(X1,X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,X1)
& X6 = singleton(X5) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_xboole_0__e16_22__wellord2__1) ).
fof(c_0_2,plain,
! [X12,X13,X22,X22,X26,X27,X28] :
( ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk7_1(X12) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk7_1(X12) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk7_1(X12) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk7_1(X12) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk7_1(X12) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk7_1(X12) )
& ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk9_1(X12),esk10_1(X12)) = esk7_1(X12) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk9_1(X12),esk10_1(X12)) = esk7_1(X12) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk9_1(X12),esk10_1(X12)) = esk7_1(X12) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk9_1(X12),esk10_1(X12)) = esk7_1(X12) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk9_1(X12),esk10_1(X12)) = esk7_1(X12) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| ordered_pair(esk9_1(X12),esk10_1(X12)) = esk7_1(X12) )
& ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| in(esk9_1(X12),X12) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| in(esk9_1(X12),X12) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| in(esk9_1(X12),X12) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| in(esk9_1(X12),X12) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| in(esk9_1(X12),X12) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| in(esk9_1(X12),X12) )
& ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| esk10_1(X12) = singleton(esk9_1(X12)) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk10_1(X12) = singleton(esk9_1(X12)) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk10_1(X12) = singleton(esk9_1(X12)) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| esk10_1(X12) = singleton(esk9_1(X12)) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| esk10_1(X12) = singleton(esk9_1(X12)) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| esk10_1(X12) = singleton(esk9_1(X12)) )
& ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk8_1(X12) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk8_1(X12) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk8_1(X12) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk8_1(X12) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk8_1(X12) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| esk6_1(X12) = esk8_1(X12) )
& ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk11_1(X12),esk12_1(X12)) = esk8_1(X12) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk11_1(X12),esk12_1(X12)) = esk8_1(X12) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk11_1(X12),esk12_1(X12)) = esk8_1(X12) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk11_1(X12),esk12_1(X12)) = esk8_1(X12) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| ordered_pair(esk11_1(X12),esk12_1(X12)) = esk8_1(X12) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| ordered_pair(esk11_1(X12),esk12_1(X12)) = esk8_1(X12) )
& ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| in(esk11_1(X12),X12) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| in(esk11_1(X12),X12) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| in(esk11_1(X12),X12) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| in(esk11_1(X12),X12) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| in(esk11_1(X12),X12) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| in(esk11_1(X12),X12) )
& ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| esk12_1(X12) = singleton(esk11_1(X12)) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk12_1(X12) = singleton(esk11_1(X12)) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk12_1(X12) = singleton(esk11_1(X12)) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| esk12_1(X12) = singleton(esk11_1(X12)) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| esk12_1(X12) = singleton(esk11_1(X12)) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| esk12_1(X12) = singleton(esk11_1(X12)) )
& ( in(esk14_3(X12,X13,X22),cartesian_product2(X12,X13))
| ~ in(X22,esk13_2(X12,X13))
| esk7_1(X12) != esk8_1(X12) )
& ( esk14_3(X12,X13,X22) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk7_1(X12) != esk8_1(X12) )
& ( ordered_pair(esk15_3(X12,X13,X22),esk16_3(X12,X13,X22)) = X22
| ~ in(X22,esk13_2(X12,X13))
| esk7_1(X12) != esk8_1(X12) )
& ( in(esk15_3(X12,X13,X22),X12)
| ~ in(X22,esk13_2(X12,X13))
| esk7_1(X12) != esk8_1(X12) )
& ( esk16_3(X12,X13,X22) = singleton(esk15_3(X12,X13,X22))
| ~ in(X22,esk13_2(X12,X13))
| esk7_1(X12) != esk8_1(X12) )
& ( ~ in(X26,cartesian_product2(X12,X13))
| X26 != X22
| ordered_pair(X27,X28) != X22
| ~ in(X27,X12)
| X28 != singleton(X27)
| in(X22,esk13_2(X12,X13))
| esk7_1(X12) != esk8_1(X12) ) ),
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__e16_22__wellord2__2])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(X1,X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,X1)
& X6 = singleton(X5) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e16_22__wellord2__1]) ).
cnf(c_0_4,plain,
( esk6_1(X1) = esk7_1(X1)
| in(X2,esk13_2(X1,X3))
| X4 != singleton(X5)
| ~ in(X5,X1)
| ordered_pair(X5,X4) != X2
| X6 != X2
| ~ in(X6,cartesian_product2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X9,X11,X12] :
( ( ~ in(esk3_1(X9),X9)
| ~ in(esk3_1(X9),cartesian_product2(esk1_0,esk2_0))
| ordered_pair(X11,X12) != esk3_1(X9)
| ~ in(X11,esk1_0)
| X12 != singleton(X11) )
& ( in(esk3_1(X9),cartesian_product2(esk1_0,esk2_0))
| in(esk3_1(X9),X9) )
& ( ordered_pair(esk4_1(X9),esk5_1(X9)) = esk3_1(X9)
| in(esk3_1(X9),X9) )
& ( in(esk4_1(X9),esk1_0)
| in(esk3_1(X9),X9) )
& ( esk5_1(X9) = singleton(esk4_1(X9))
| in(esk3_1(X9),X9) ) ),
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,
( esk6_1(X1) = esk7_1(X1)
| in(X2,esk13_2(X1,X3))
| ordered_pair(X4,X5) != X2
| X5 != singleton(X4)
| ~ in(X2,cartesian_product2(X1,X3))
| ~ in(X4,X1) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| ordered_pair(X2,X3) != esk3_1(X1)
| X3 != singleton(X2)
| ~ in(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( in(esk3_1(X1),X1)
| ordered_pair(esk4_1(X1),esk5_1(X1)) = esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( in(esk3_1(X1),X1)
| esk5_1(X1) = singleton(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| ordered_pair(X2,singleton(X2)) != esk3_1(X1)
| ~ in(X2,esk1_0) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( ordered_pair(esk4_1(X1),singleton(esk4_1(X1))) = esk3_1(X1)
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| in(esk3_1(X1),X1)
| esk3_1(X2) != esk3_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_15,plain,
( esk6_1(X1) = esk8_1(X1)
| in(X2,esk13_2(X1,X3))
| X4 != singleton(X5)
| ~ in(X5,X1)
| ordered_pair(X5,X4) != X2
| X6 != X2
| ~ in(X6,cartesian_product2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( in(X2,esk13_2(X1,X3))
| esk7_1(X1) != esk8_1(X1)
| X4 != singleton(X5)
| ~ in(X5,X1)
| ordered_pair(X5,X4) != X2
| X6 != X2
| ~ in(X6,cartesian_product2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,plain,
( esk6_1(X1) = esk8_1(X1)
| in(X2,esk13_2(X1,X3))
| ordered_pair(X4,X5) != X2
| X5 != singleton(X4)
| ~ in(X2,cartesian_product2(X1,X3))
| ~ in(X4,X1) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( esk6_1(X1) = esk7_1(X1)
| in(esk14_3(X1,X3,X2),cartesian_product2(X1,X3))
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| in(esk3_1(esk13_2(esk1_0,esk2_0)),esk13_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( esk6_1(X1) = esk7_1(X1)
| esk14_3(X1,X3,X2) = X2
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,plain,
( in(X1,esk13_2(X2,X3))
| esk8_1(X2) != esk7_1(X2)
| ordered_pair(X4,X5) != X1
| X5 != singleton(X4)
| ~ in(X1,cartesian_product2(X2,X3))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( esk6_1(esk1_0) = esk8_1(esk1_0)
| in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| ordered_pair(X2,X3) != esk3_1(X1)
| X3 != singleton(X2)
| ~ in(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| in(esk14_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( esk14_3(X1,X2,esk3_1(esk13_2(X1,X2))) = esk3_1(esk13_2(X1,X2))
| esk6_1(X1) = esk7_1(X1)
| in(esk3_1(esk13_2(X1,X2)),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_26,negated_conjecture,
( in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| esk8_1(esk1_0) != esk7_1(esk1_0)
| ordered_pair(X2,X3) != esk3_1(X1)
| X3 != singleton(X2)
| ~ in(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_27,plain,
( esk6_1(X1) = esk8_1(X1)
| in(esk14_3(X1,X3,X2),cartesian_product2(X1,X3))
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,plain,
( esk6_1(X1) = esk8_1(X1)
| esk14_3(X1,X3,X2) = X2
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( esk6_1(esk1_0) = esk8_1(esk1_0)
| in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| ordered_pair(X2,singleton(X2)) != esk3_1(X1)
| ~ in(X2,esk1_0) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
( X1 != singleton(X2)
| ~ in(X2,esk1_0)
| ordered_pair(X2,X1) != esk3_1(X3)
| ~ in(esk3_1(X3),cartesian_product2(esk1_0,esk2_0))
| ~ in(esk3_1(X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_31,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| in(esk3_1(esk13_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
( esk6_1(X1) = esk7_1(X1)
| ordered_pair(esk15_3(X1,X3,X2),esk16_3(X1,X3,X2)) = X2
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_33,plain,
( esk6_1(X1) = esk7_1(X1)
| in(esk15_3(X1,X3,X2),X1)
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,plain,
( esk6_1(X1) = esk7_1(X1)
| esk16_3(X1,X3,X2) = singleton(esk15_3(X1,X3,X2))
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_35,negated_conjecture,
( in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| ordered_pair(X2,singleton(X2)) != esk3_1(X1)
| esk8_1(esk1_0) != esk7_1(esk1_0)
| ~ in(X2,esk1_0) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( esk6_1(X1) = esk8_1(X1)
| in(esk14_3(X1,X2,esk3_1(esk13_2(X1,X2))),cartesian_product2(X1,X2))
| in(esk3_1(esk13_2(X1,X2)),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_7]) ).
cnf(c_0_37,negated_conjecture,
( esk14_3(X1,X2,esk3_1(esk13_2(X1,X2))) = esk3_1(esk13_2(X1,X2))
| esk6_1(X1) = esk8_1(X1)
| in(esk3_1(esk13_2(X1,X2)),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_7]) ).
cnf(c_0_38,negated_conjecture,
( esk6_1(esk1_0) = esk8_1(esk1_0)
| in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| in(esk3_1(X1),X1)
| esk3_1(X2) != esk3_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_13]) ).
cnf(c_0_39,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| ordered_pair(X1,X2) != esk3_1(esk13_2(esk1_0,esk2_0))
| X2 != singleton(X1)
| ~ in(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_20]) ).
cnf(c_0_40,negated_conjecture,
( ordered_pair(esk15_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))),esk16_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0)))) = esk3_1(esk13_2(esk1_0,esk2_0))
| esk6_1(esk1_0) = esk7_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]) ).
cnf(c_0_41,negated_conjecture,
( esk6_1(esk1_0) = esk7_1(esk1_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))),esk1_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_42,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))) = singleton(esk15_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))))
| esk6_1(esk1_0) = esk7_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_20]) ).
cnf(c_0_43,negated_conjecture,
( in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| in(esk3_1(X1),X1)
| esk8_1(esk1_0) != esk7_1(esk1_0)
| esk3_1(X2) != esk3_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_12]),c_0_13]) ).
cnf(c_0_44,negated_conjecture,
( esk6_1(X1) = esk8_1(X1)
| in(esk3_1(esk13_2(X1,X2)),cartesian_product2(esk1_0,esk2_0))
| in(esk3_1(esk13_2(X1,X2)),cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,negated_conjecture,
( esk6_1(esk1_0) = esk8_1(esk1_0)
| in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
esk6_1(esk1_0) = esk7_1(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| esk8_1(esk1_0) != esk7_1(esk1_0) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( esk6_1(esk1_0) = esk8_1(esk1_0)
| in(esk3_1(esk13_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( in(esk3_1(X1),esk13_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_50,plain,
( esk6_1(X1) = esk8_1(X1)
| in(esk15_3(X1,X3,X2),X1)
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_51,negated_conjecture,
( esk6_1(esk1_0) = esk8_1(esk1_0)
| in(esk3_1(esk13_2(esk1_0,esk2_0)),esk13_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( esk6_1(X1) = esk8_1(X1)
| esk16_3(X1,X3,X2) = singleton(esk15_3(X1,X3,X2))
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,negated_conjecture,
( esk8_1(esk1_0) = esk7_1(esk1_0)
| in(esk3_1(esk13_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
in(esk3_1(esk13_2(esk1_0,esk2_0)),esk13_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( esk6_1(X1) = esk8_1(X1)
| ordered_pair(esk15_3(X1,X3,X2),esk16_3(X1,X3,X2)) = X2
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,negated_conjecture,
( esk6_1(esk1_0) = esk8_1(esk1_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))),esk1_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))) = singleton(esk15_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))))
| esk6_1(esk1_0) = esk8_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_58,plain,
( in(esk14_3(X1,X3,X2),cartesian_product2(X1,X3))
| esk7_1(X1) != esk8_1(X1)
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_59,plain,
( esk14_3(X1,X3,X2) = X2
| esk7_1(X1) != esk8_1(X1)
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_60,negated_conjecture,
( esk8_1(esk1_0) = esk7_1(esk1_0)
| ordered_pair(X1,X2) != esk3_1(esk13_2(esk1_0,esk2_0))
| X2 != singleton(X1)
| ~ in(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_53]),c_0_54])]) ).
cnf(c_0_61,negated_conjecture,
( ordered_pair(esk15_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))),esk16_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0)))) = esk3_1(esk13_2(esk1_0,esk2_0))
| esk8_1(esk1_0) = esk7_1(esk1_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_46]) ).
cnf(c_0_62,negated_conjecture,
( esk8_1(esk1_0) = esk7_1(esk1_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))),esk1_0) ),
inference(rw,[status(thm)],[c_0_56,c_0_46]) ).
cnf(c_0_63,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))) = singleton(esk15_3(esk1_0,esk2_0,esk3_1(esk13_2(esk1_0,esk2_0))))
| esk8_1(esk1_0) = esk7_1(esk1_0) ),
inference(rw,[status(thm)],[c_0_57,c_0_46]) ).
cnf(c_0_64,plain,
( in(X1,cartesian_product2(X2,X3))
| esk8_1(X2) != esk7_1(X2)
| ~ in(X1,esk13_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
esk8_1(esk1_0) = esk7_1(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( in(X1,cartesian_product2(esk1_0,X2))
| ~ in(X1,esk13_2(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,plain,
( ordered_pair(esk15_3(X1,X3,X2),esk16_3(X1,X3,X2)) = X2
| esk7_1(X1) != esk8_1(X1)
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_68,plain,
( esk16_3(X1,X3,X2) = singleton(esk15_3(X1,X3,X2))
| esk7_1(X1) != esk8_1(X1)
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_69,negated_conjecture,
( ordered_pair(X1,X2) != esk3_1(X3)
| X2 != singleton(X1)
| ~ in(esk3_1(X3),esk13_2(esk1_0,esk2_0))
| ~ in(esk3_1(X3),X3)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_66]) ).
cnf(c_0_70,plain,
( ordered_pair(esk15_3(X1,X2,X3),singleton(esk15_3(X1,X2,X3))) = X3
| esk8_1(X1) != esk7_1(X1)
| ~ in(X3,esk13_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,plain,
( in(esk15_3(X1,X3,X2),X1)
| esk7_1(X1) != esk8_1(X1)
| ~ in(X2,esk13_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_72,negated_conjecture,
( ordered_pair(X1,X2) != esk3_1(esk13_2(esk1_0,esk2_0))
| X2 != singleton(X1)
| ~ in(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_54]),c_0_54])]) ).
cnf(c_0_73,negated_conjecture,
( ordered_pair(esk15_3(esk1_0,X1,X2),singleton(esk15_3(esk1_0,X1,X2))) = X2
| ~ in(X2,esk13_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_70,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
( in(esk15_3(esk1_0,X1,X2),esk1_0)
| ~ in(X2,esk13_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_71,c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( X1 != esk3_1(esk13_2(esk1_0,esk2_0))
| ~ in(X1,esk13_2(esk1_0,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_76,negated_conjecture,
~ in(esk3_1(esk13_2(esk1_0,esk2_0)),esk13_2(esk1_0,X1)),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_54,c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 02:49:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43 # Preprocessing time : 0.018 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 78
% 0.25/1.43 # Proof object clause steps : 73
% 0.25/1.43 # Proof object formula steps : 5
% 0.25/1.43 # Proof object conjectures : 53
% 0.25/1.43 # Proof object clause conjectures : 50
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 23
% 0.25/1.43 # Proof object initial formulas used : 2
% 0.25/1.43 # Proof object generating inferences : 42
% 0.25/1.43 # Proof object simplifying inferences : 23
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 15
% 0.25/1.43 # Removed by relevancy pruning/SinE : 4
% 0.25/1.43 # Initial clauses : 76
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 76
% 0.25/1.43 # Processed clauses : 3303
% 0.25/1.43 # ...of these trivial : 103
% 0.25/1.43 # ...subsumed : 2221
% 0.25/1.43 # ...remaining for further processing : 979
% 0.25/1.43 # Other redundant clauses eliminated : 9
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 127
% 0.25/1.43 # Backward-rewritten : 313
% 0.25/1.43 # Generated clauses : 20540
% 0.25/1.43 # ...of the previous two non-trivial : 18449
% 0.25/1.43 # Contextual simplify-reflections : 3650
% 0.25/1.43 # Paramodulations : 20436
% 0.25/1.43 # Factorizations : 36
% 0.25/1.43 # Equation resolutions : 67
% 0.25/1.43 # Current number of processed clauses : 529
% 0.25/1.43 # Positive orientable unit clauses : 14
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 10
% 0.25/1.43 # Non-unit-clauses : 505
% 0.25/1.43 # Current number of unprocessed clauses: 7559
% 0.25/1.43 # ...number of literals in the above : 44243
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 441
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 87780
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 37018
% 0.25/1.43 # Non-unit clause-clause subsumptions : 5938
% 0.25/1.43 # Unit Clause-clause subsumption calls : 1660
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 7
% 0.25/1.43 # BW rewrite match successes : 7
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 681642
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.748 s
% 0.25/1.43 # System time : 0.006 s
% 0.25/1.43 # Total time : 0.754 s
% 0.25/1.43 # Maximum resident set size: 10728 pages
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