TSTP Solution File: SEU272+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 09:18:29 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 72 ( 8 unt; 0 def)
% Number of atoms : 505 ( 148 equ)
% Maximal formula atoms : 252 ( 7 avg)
% Number of connectives : 688 ( 255 ~; 350 |; 75 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 134 ( 1 sgn 20 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_xboole_0__e8_6__wellord2__1,conjecture,
! [X1,X2] :
( ordinal(X2)
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,succ(X2))
& ? [X5] :
( ordinal(X5)
& X4 = X5
& in(X5,X1) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',s1_xboole_0__e8_6__wellord2__1) ).
fof(s1_tarski__e8_6__wellord2__1,axiom,
! [X1,X2] :
( ordinal(X2)
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X1) )
& X3 = X5
& ? [X7] :
( ordinal(X7)
& X5 = X7
& in(X7,X1) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,succ(X2))
& X5 = X4
& ? [X8] :
( ordinal(X8)
& X4 = X8
& in(X8,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',s1_tarski__e8_6__wellord2__1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( ordinal(X2)
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,succ(X2))
& ? [X5] :
( ordinal(X5)
& X4 = X5
& in(X5,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e8_6__wellord2__1]) ).
fof(c_0_3,plain,
! [X9,X10,X17,X17,X20,X21] :
( ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk10_2(X9,X10)
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk10_2(X9,X10)
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk10_2(X9,X10)
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk10_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk10_2(X9,X10)
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk10_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk12_2(X9,X10))
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk12_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk12_2(X9,X10))
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk12_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk12_2(X9,X10))
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| ordinal(esk12_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) = esk12_2(X9,X10)
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) = esk12_2(X9,X10)
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) = esk12_2(X9,X10)
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) = esk12_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) = esk12_2(X9,X10)
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) = esk12_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| in(esk12_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| in(esk12_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| in(esk12_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| in(esk12_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| in(esk12_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| in(esk12_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| esk9_2(X9,X10) = esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk13_2(X9,X10))
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk13_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk13_2(X9,X10))
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk13_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| ordinal(esk13_2(X9,X10))
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| ordinal(esk13_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| esk11_2(X9,X10) = esk13_2(X9,X10)
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| esk11_2(X9,X10) = esk13_2(X9,X10)
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| esk11_2(X9,X10) = esk13_2(X9,X10)
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| esk11_2(X9,X10) = esk13_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| esk11_2(X9,X10) = esk13_2(X9,X10)
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| esk11_2(X9,X10) = esk13_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| in(esk13_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| in(esk13_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| in(esk13_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| in(esk13_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| in(esk13_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| in(esk13_2(X9,X10),X9)
| ~ ordinal(X10) )
& ( in(esk15_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) != esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( esk15_3(X9,X10,X17) = X17
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) != esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( ordinal(esk16_3(X9,X10,X17))
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) != esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( X17 = esk16_3(X9,X10,X17)
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) != esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( in(esk16_3(X9,X10,X17),X9)
| ~ in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) != esk11_2(X9,X10)
| ~ ordinal(X10) )
& ( ~ in(X20,succ(X10))
| X20 != X17
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| in(X17,esk14_2(X9,X10))
| esk10_2(X9,X10) != esk11_2(X9,X10)
| ~ ordinal(X10) ) ),
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__e8_6__wellord2__1])])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X8,X10] :
( ordinal(esk2_0)
& ( ~ in(esk3_1(X8),X8)
| ~ in(esk3_1(X8),succ(esk2_0))
| ~ ordinal(X10)
| esk3_1(X8) != X10
| ~ in(X10,esk1_0) )
& ( in(esk3_1(X8),succ(esk2_0))
| in(esk3_1(X8),X8) )
& ( ordinal(esk4_1(X8))
| in(esk3_1(X8),X8) )
& ( esk3_1(X8) = esk4_1(X8)
| in(esk3_1(X8),X8) )
& ( in(esk4_1(X8),esk1_0)
| in(esk3_1(X8),X8) ) ),
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_2])])])])])])]) ).
cnf(c_0_5,plain,
( esk9_2(X2,X1) = esk10_2(X2,X1)
| in(X3,esk14_2(X2,X1))
| ~ ordinal(X1)
| ~ in(X4,X2)
| X3 != X4
| ~ ordinal(X4)
| X5 != X3
| ~ in(X5,succ(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( in(esk3_1(X1),X1)
| ordinal(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk3_1(X1),X1)
| esk3_1(X1) = esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ in(X3,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])]) ).
cnf(c_0_9,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),succ(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
ordinal(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( in(esk3_1(X1),X1)
| ordinal(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( esk9_2(X1,esk2_0) = esk10_2(X1,esk2_0)
| in(esk3_1(X2),esk14_2(X1,esk2_0))
| in(esk3_1(X2),X2)
| ~ in(esk3_1(X2),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( in(esk3_1(X1),esk1_0)
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( esk9_2(X2,X1) = esk10_2(X2,X1)
| esk15_3(X2,X1,X3) = X3
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( esk9_2(X2,X1) = esk10_2(X2,X1)
| in(esk15_3(X2,X1,X3),succ(X1))
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_10])]) ).
cnf(c_0_20,plain,
( esk9_2(X2,X1) = esk10_2(X2,X1)
| ordinal(esk16_3(X2,X1,X3))
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,plain,
( esk9_2(X2,X1) = esk10_2(X2,X1)
| X3 = esk16_3(X2,X1,X3)
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,plain,
( esk9_2(X2,X1) = esk10_2(X2,X1)
| in(esk16_3(X2,X1,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,plain,
( in(X3,esk14_2(X2,X1))
| ~ ordinal(X1)
| esk10_2(X2,X1) != esk11_2(X2,X1)
| ~ in(X4,X2)
| X3 != X4
| ~ ordinal(X4)
| X5 != X3
| ~ in(X5,succ(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,plain,
( esk9_2(X2,X1) = esk11_2(X2,X1)
| in(X3,esk14_2(X2,X1))
| ~ ordinal(X1)
| ~ in(X4,X2)
| X3 != X4
| ~ ordinal(X4)
| X5 != X3
| ~ in(X5,succ(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(X1,esk1_0)
| esk3_1(X2) != X1
| ~ ordinal(X1)
| ~ in(esk3_1(X2),succ(esk2_0))
| ~ in(esk3_1(X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_10])]),c_0_9]) ).
cnf(c_0_27,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ordinal(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_10])]) ).
cnf(c_0_28,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ordinal(esk3_1(esk14_2(X1,X2)))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_29,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_17]),c_0_10])]) ).
cnf(c_0_30,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_10])]) ).
cnf(c_0_31,plain,
( in(X1,esk14_2(X2,X3))
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ in(X1,succ(X3))
| ~ in(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).
cnf(c_0_32,plain,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ in(X3,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]) ).
cnf(c_0_33,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| esk3_1(esk14_2(esk1_0,esk2_0)) != X1
| ~ in(X1,esk1_0)
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17]) ).
cnf(c_0_34,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ordinal(esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_10])]) ).
cnf(c_0_35,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( in(esk3_1(X1),esk14_2(X2,esk2_0))
| in(esk3_1(X1),X1)
| esk11_2(X2,esk2_0) != esk10_2(X2,esk2_0)
| ~ in(esk3_1(X1),X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_37,negated_conjecture,
( esk9_2(X1,esk2_0) = esk11_2(X1,esk2_0)
| in(esk3_1(X2),esk14_2(X1,esk2_0))
| in(esk3_1(X2),X2)
| ~ in(esk3_1(X2),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_38,negated_conjecture,
esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_14]) ).
cnf(c_0_40,plain,
( in(esk15_3(X2,X1,X3),succ(X1))
| ~ ordinal(X1)
| esk10_2(X2,X1) != esk11_2(X2,X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_41,plain,
( esk15_3(X2,X1,X3) = X3
| ~ ordinal(X1)
| esk10_2(X2,X1) != esk11_2(X2,X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_42,negated_conjecture,
( in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_14]),c_0_38]),c_0_39]) ).
cnf(c_0_43,plain,
( in(X1,succ(X2))
| esk11_2(X3,X2) != esk10_2(X3,X2)
| ~ in(X1,esk14_2(X3,X2))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
( esk9_2(X2,X1) = esk11_2(X2,X1)
| esk15_3(X2,X1,X3) = X3
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_45,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( in(esk3_1(esk14_2(X1,X2)),succ(esk2_0))
| in(esk3_1(esk14_2(X1,X2)),succ(X2))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_9]) ).
cnf(c_0_47,plain,
( esk9_2(X2,X1) = esk11_2(X2,X1)
| in(esk15_3(X2,X1,X3),succ(X1))
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_48,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]),c_0_10])]) ).
cnf(c_0_49,negated_conjecture,
( in(esk3_1(esk14_2(X1,esk2_0)),succ(esk2_0))
| esk11_2(X1,esk2_0) != esk10_2(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_10]) ).
cnf(c_0_50,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_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_47,c_0_48]),c_0_38]),c_0_45]),c_0_10])]),c_0_49]) ).
cnf(c_0_51,plain,
( esk9_2(X2,X1) = esk11_2(X2,X1)
| ordinal(esk16_3(X2,X1,X3))
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_52,plain,
( esk9_2(X2,X1) = esk11_2(X2,X1)
| X3 = esk16_3(X2,X1,X3)
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_53,plain,
( esk9_2(X2,X1) = esk11_2(X2,X1)
| in(esk16_3(X2,X1,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_54,negated_conjecture,
( esk3_1(esk14_2(esk1_0,esk2_0)) != X1
| ~ in(X1,esk1_0)
| ~ ordinal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_50]),c_0_45])]) ).
cnf(c_0_55,negated_conjecture,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| ordinal(esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))))
| ordinal(esk3_1(esk14_2(X1,X2)))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_11]) ).
cnf(c_0_56,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ordinal(esk3_1(esk14_2(X1,X2)))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_11]) ).
cnf(c_0_57,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_38]),c_0_10])]) ).
cnf(c_0_58,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_38]),c_0_10])]) ).
cnf(c_0_59,negated_conjecture,
( ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| ~ ordinal(esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| ordinal(esk3_1(esk14_2(X1,X2)))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
( X3 = esk16_3(X2,X1,X3)
| ~ ordinal(X1)
| esk10_2(X2,X1) != esk11_2(X2,X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_63,negated_conjecture,
esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_38]),c_0_10])]),c_0_61]) ).
cnf(c_0_64,plain,
( ordinal(esk16_3(X2,X1,X3))
| ~ ordinal(X1)
| esk10_2(X2,X1) != esk11_2(X2,X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_65,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_10])]) ).
cnf(c_0_66,negated_conjecture,
( ordinal(X1)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_63]),c_0_10])]) ).
cnf(c_0_67,plain,
( in(esk16_3(X2,X1,X3),X2)
| ~ ordinal(X1)
| esk10_2(X2,X1) != esk11_2(X2,X1)
| ~ in(X3,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_68,negated_conjecture,
ordinal(esk3_1(esk14_2(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_66,c_0_11]) ).
cnf(c_0_69,negated_conjecture,
( in(X1,esk1_0)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_65]),c_0_63]),c_0_10])]) ).
cnf(c_0_70,negated_conjecture,
~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_68])]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_14]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 06:05:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.016 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 72
% 0.23/1.41 # Proof object clause steps : 67
% 0.23/1.41 # Proof object formula steps : 5
% 0.23/1.41 # Proof object conjectures : 48
% 0.23/1.41 # Proof object clause conjectures : 45
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 24
% 0.23/1.41 # Proof object initial formulas used : 2
% 0.23/1.41 # Proof object generating inferences : 39
% 0.23/1.41 # Proof object simplifying inferences : 64
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 14
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 83
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 82
% 0.23/1.41 # Processed clauses : 2050
% 0.23/1.41 # ...of these trivial : 11
% 0.23/1.41 # ...subsumed : 882
% 0.23/1.41 # ...remaining for further processing : 1157
% 0.23/1.41 # Other redundant clauses eliminated : 18
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 184
% 0.23/1.41 # Backward-rewritten : 120
% 0.23/1.41 # Generated clauses : 48893
% 0.23/1.41 # ...of the previous two non-trivial : 46914
% 0.23/1.41 # Contextual simplify-reflections : 1275
% 0.23/1.41 # Paramodulations : 48834
% 0.23/1.41 # Factorizations : 20
% 0.23/1.41 # Equation resolutions : 48
% 0.23/1.41 # Current number of processed clauses : 844
% 0.23/1.41 # Positive orientable unit clauses : 20
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 10
% 0.23/1.41 # Non-unit-clauses : 814
% 0.23/1.41 # Current number of unprocessed clauses: 36015
% 0.23/1.41 # ...number of literals in the above : 247215
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 304
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 90341
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 31902
% 0.23/1.41 # Non-unit clause-clause subsumptions : 2167
% 0.23/1.41 # Unit Clause-clause subsumption calls : 3593
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 48
% 0.23/1.41 # BW rewrite match successes : 14
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 1638075
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.701 s
% 0.23/1.41 # System time : 0.027 s
% 0.23/1.41 # Total time : 0.728 s
% 0.23/1.41 # Maximum resident set size: 34984 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------