TSTP Solution File: SEU298+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 09:18:45 EDT 2022
% Result : Theorem 0.27s 1.46s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 68 ( 7 unt; 0 def)
% Number of atoms : 471 ( 150 equ)
% Maximal formula atoms : 196 ( 6 avg)
% Number of connectives : 667 ( 264 ~; 341 |; 54 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 133 ( 1 sgn 20 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_xboole_0__e4_27_3_1__finset_1,conjecture,
! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X1))
& ? [X5] :
( in(X5,X2)
& X4 = set_difference(X5,singleton(X1)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_xboole_0__e4_27_3_1__finset_1) ).
fof(s1_tarski__e4_27_3_1__finset_1__1,axiom,
! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( in(X6,X2)
& X4 = set_difference(X6,singleton(X1)) )
& X3 = X5
& ? [X7] :
( in(X7,X2)
& X5 = set_difference(X7,singleton(X1)) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(X1))
& X5 = X4
& ? [X8] :
( in(X8,X2)
& X4 = set_difference(X8,singleton(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_tarski__e4_27_3_1__finset_1__1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X1))
& ? [X5] :
( in(X5,X2)
& X4 = set_difference(X5,singleton(X1)) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e4_27_3_1__finset_1]) ).
fof(c_0_3,plain,
! [X9,X10,X17,X17,X20,X21] :
( ( in(esk11_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk6_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk11_3(X9,X10,X17) = X17
| ~ in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk6_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk12_3(X9,X10,X17),X10)
| ~ in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk6_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( X17 = set_difference(esk12_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk6_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( ~ in(X20,powerset(X9))
| X20 != X17
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk6_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk11_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk10_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk11_3(X9,X10,X17) = X17
| ~ in(X17,esk10_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk12_3(X9,X10,X17),X10)
| ~ in(X17,esk10_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( X17 = set_difference(esk12_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk10_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( ~ in(X20,powerset(X9))
| X20 != X17
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| in(X17,esk10_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk11_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) = set_difference(esk8_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk11_3(X9,X10,X17) = X17
| ~ in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) = set_difference(esk8_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk12_3(X9,X10,X17),X10)
| ~ in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) = set_difference(esk8_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( X17 = set_difference(esk12_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) = set_difference(esk8_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( ~ in(X20,powerset(X9))
| X20 != X17
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) = set_difference(esk8_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk11_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk11_3(X9,X10,X17) = X17
| ~ in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk12_3(X9,X10,X17),X10)
| ~ in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( X17 = set_difference(esk12_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( ~ in(X20,powerset(X9))
| X20 != X17
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| in(X17,esk10_2(X9,X10))
| esk5_2(X9,X10) = esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk11_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk10_2(X9,X10))
| in(esk9_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk11_3(X9,X10,X17) = X17
| ~ in(X17,esk10_2(X9,X10))
| in(esk9_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk12_3(X9,X10,X17),X10)
| ~ in(X17,esk10_2(X9,X10))
| in(esk9_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( X17 = set_difference(esk12_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk10_2(X9,X10))
| in(esk9_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( ~ in(X20,powerset(X9))
| X20 != X17
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| in(X17,esk10_2(X9,X10))
| in(esk9_2(X9,X10),X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk11_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk7_2(X9,X10) = set_difference(esk9_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk11_3(X9,X10,X17) = X17
| ~ in(X17,esk10_2(X9,X10))
| esk7_2(X9,X10) = set_difference(esk9_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk12_3(X9,X10,X17),X10)
| ~ in(X17,esk10_2(X9,X10))
| esk7_2(X9,X10) = set_difference(esk9_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( X17 = set_difference(esk12_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk7_2(X9,X10) = set_difference(esk9_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( ~ in(X20,powerset(X9))
| X20 != X17
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| in(X17,esk10_2(X9,X10))
| esk7_2(X9,X10) = set_difference(esk9_2(X9,X10),singleton(X9))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk11_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) != esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk11_3(X9,X10,X17) = X17
| ~ in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) != esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk12_3(X9,X10,X17),X10)
| ~ in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) != esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( X17 = set_difference(esk12_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) != esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( ~ in(X20,powerset(X9))
| X20 != X17
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| in(X17,esk10_2(X9,X10))
| esk6_2(X9,X10) != esk7_2(X9,X10)
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(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)],[s1_tarski__e4_27_3_1__finset_1__1])])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X8,X10] :
( ordinal(esk1_0)
& element(esk2_0,powerset(powerset(succ(esk1_0))))
& ( ~ in(esk3_1(X8),X8)
| ~ in(esk3_1(X8),powerset(esk1_0))
| ~ in(X10,esk2_0)
| esk3_1(X8) != set_difference(X10,singleton(esk1_0)) )
& ( in(esk3_1(X8),powerset(esk1_0))
| in(esk3_1(X8),X8) )
& ( in(esk4_1(X8),esk2_0)
| in(esk3_1(X8),X8) )
& ( esk3_1(X8) = set_difference(esk4_1(X8),singleton(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,
( esk5_2(X2,X1) = esk6_2(X2,X1)
| in(X3,esk10_2(X2,X1))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| X3 != set_difference(X4,singleton(X2))
| ~ in(X4,X1)
| X5 != X3
| ~ in(X5,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( esk5_2(X2,X1) = esk6_2(X2,X1)
| in(esk11_3(X2,X1,X3),powerset(X2))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
element(esk2_0,powerset(powerset(succ(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
ordinal(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( esk5_2(X2,X1) = esk6_2(X2,X1)
| esk11_3(X2,X1,X3) = X3
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,plain,
( esk5_2(X1,X2) = esk6_2(X1,X2)
| in(X3,esk10_2(X1,X2))
| X3 != set_difference(X4,singleton(X1))
| ~ in(X3,powerset(X1))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( in(esk3_1(X1),X1)
| esk3_1(X1) = set_difference(esk4_1(X1),singleton(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk11_3(esk1_0,esk2_0,X1),powerset(esk1_0))
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_13,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),powerset(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| esk11_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_7]),c_0_8])]) ).
cnf(c_0_15,negated_conjecture,
( esk5_2(esk1_0,X1) = esk6_2(esk1_0,X1)
| in(X2,esk10_2(esk1_0,X1))
| in(esk3_1(X3),X3)
| X2 != esk3_1(X3)
| ~ in(X2,powerset(esk1_0))
| ~ in(esk4_1(X3),X1)
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_8])]) ).
cnf(c_0_16,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk11_3(esk1_0,esk2_0,esk3_1(esk10_2(esk1_0,esk2_0))),powerset(esk1_0))
| in(esk3_1(esk10_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( esk11_3(esk1_0,esk2_0,esk3_1(esk10_2(esk1_0,esk2_0))) = esk3_1(esk10_2(esk1_0,esk2_0))
| esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(esk10_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(X1,esk10_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| X1 != esk3_1(X2)
| ~ in(X1,powerset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_7])]) ).
cnf(c_0_20,negated_conjecture,
( esk3_1(X1) != set_difference(X2,singleton(esk1_0))
| ~ in(X2,esk2_0)
| ~ in(esk3_1(X1),powerset(esk1_0))
| ~ in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(esk10_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk10_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_19]),c_0_13]) ).
cnf(c_0_23,plain,
( esk5_2(X2,X1) = esk6_2(X2,X1)
| X3 = set_difference(esk12_3(X2,X1,X3),singleton(X2))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,plain,
( esk5_2(X2,X1) = esk6_2(X2,X1)
| in(esk12_3(X2,X1,X3),X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,plain,
( in(X3,esk10_2(X2,X1))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| esk6_2(X2,X1) != esk7_2(X2,X1)
| X3 != set_difference(X4,singleton(X2))
| ~ in(X4,X1)
| X5 != X3
| ~ in(X5,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,plain,
( esk5_2(X2,X1) = esk7_2(X2,X1)
| in(X3,esk10_2(X2,X1))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| X3 != set_difference(X4,singleton(X2))
| ~ in(X4,X1)
| X5 != X3
| ~ in(X5,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| esk3_1(esk10_2(esk1_0,esk2_0)) != set_difference(X1,singleton(esk1_0))
| ~ in(esk3_1(esk10_2(esk1_0,esk2_0)),esk10_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(esk10_2(esk1_0,esk2_0)),esk10_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( set_difference(esk12_3(esk1_0,esk2_0,X1),singleton(esk1_0)) = X1
| esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_7]),c_0_8])]) ).
cnf(c_0_30,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,X1),esk2_0)
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_7]),c_0_8])]) ).
cnf(c_0_31,plain,
( in(X1,esk10_2(X2,X3))
| esk7_2(X2,X3) != esk6_2(X2,X3)
| X1 != set_difference(X4,singleton(X2))
| ~ in(X1,powerset(X2))
| ~ in(X4,X3)
| ~ element(X3,powerset(powerset(succ(X2))))
| ~ ordinal(X2) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( esk5_2(X1,X2) = esk7_2(X1,X2)
| in(X3,esk10_2(X1,X2))
| X3 != set_difference(X4,singleton(X1))
| ~ in(X3,powerset(X1))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| esk3_1(esk10_2(esk1_0,esk2_0)) != set_difference(X1,singleton(esk1_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( set_difference(esk12_3(esk1_0,esk2_0,esk3_1(esk10_2(esk1_0,esk2_0))),singleton(esk1_0)) = esk3_1(esk10_2(esk1_0,esk2_0))
| esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,esk3_1(esk10_2(esk1_0,esk2_0))),esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( in(X1,esk10_2(esk1_0,X2))
| in(esk3_1(X3),X3)
| esk7_2(esk1_0,X2) != esk6_2(esk1_0,X2)
| X1 != esk3_1(X3)
| ~ in(X1,powerset(esk1_0))
| ~ in(esk4_1(X3),X2)
| ~ element(X2,powerset(powerset(succ(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_11]),c_0_8])]) ).
cnf(c_0_37,plain,
( esk5_2(X2,X1) = esk7_2(X2,X1)
| in(esk11_3(X2,X1,X3),powerset(X2))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_38,plain,
( esk5_2(X2,X1) = esk7_2(X2,X1)
| esk11_3(X2,X1,X3) = X3
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_39,negated_conjecture,
( esk5_2(esk1_0,X1) = esk7_2(esk1_0,X1)
| in(X2,esk10_2(esk1_0,X1))
| in(esk3_1(X3),X3)
| X2 != esk3_1(X3)
| ~ in(X2,powerset(esk1_0))
| ~ in(esk4_1(X3),X1)
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_11]),c_0_8])]) ).
cnf(c_0_40,negated_conjecture,
esk5_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( in(X1,esk10_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| esk7_2(esk1_0,esk2_0) != esk6_2(esk1_0,esk2_0)
| X1 != esk3_1(X2)
| ~ in(X1,powerset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_16]),c_0_7])]) ).
cnf(c_0_42,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| in(esk11_3(esk1_0,esk2_0,X1),powerset(esk1_0))
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_7]),c_0_8])]) ).
cnf(c_0_43,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| esk11_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_7]),c_0_8])]) ).
cnf(c_0_44,negated_conjecture,
( in(X1,esk10_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| X1 != esk3_1(X2)
| ~ in(X1,powerset(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_40]),c_0_7])]),c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| in(esk11_3(esk1_0,esk2_0,esk3_1(esk10_2(esk1_0,esk2_0))),powerset(esk1_0))
| in(esk3_1(esk10_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_13]) ).
cnf(c_0_46,negated_conjecture,
( esk11_3(esk1_0,esk2_0,esk3_1(esk10_2(esk1_0,esk2_0))) = esk3_1(esk10_2(esk1_0,esk2_0))
| esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| in(esk3_1(esk10_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_43,c_0_13]) ).
cnf(c_0_47,plain,
( in(esk11_3(X2,X1,X3),powerset(X2))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| esk6_2(X2,X1) != esk7_2(X2,X1)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_48,plain,
( esk11_3(X2,X1,X3) = X3
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| esk6_2(X2,X1) != esk7_2(X2,X1)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_49,negated_conjecture,
( in(esk3_1(X1),esk10_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_44]),c_0_13]) ).
cnf(c_0_50,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| in(esk3_1(esk10_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
( in(X1,powerset(X2))
| esk7_2(X2,X3) != esk6_2(X2,X3)
| ~ in(X1,esk10_2(X2,X3))
| ~ element(X3,powerset(powerset(succ(X2))))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
in(esk3_1(esk10_2(esk1_0,esk2_0)),esk10_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(esk10_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(rw,[status(thm)],[c_0_50,c_0_40]) ).
cnf(c_0_54,plain,
( esk5_2(X2,X1) = esk7_2(X2,X1)
| in(esk12_3(X2,X1,X3),X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_55,negated_conjecture,
in(esk3_1(esk10_2(esk1_0,esk2_0)),powerset(esk1_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_7]),c_0_8])]),c_0_53]) ).
cnf(c_0_56,plain,
( esk5_2(X2,X1) = esk7_2(X2,X1)
| X3 = set_difference(esk12_3(X2,X1,X3),singleton(X2))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_57,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,X1),esk2_0)
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_7]),c_0_8])]) ).
cnf(c_0_58,negated_conjecture,
( esk3_1(esk10_2(esk1_0,esk2_0)) != set_difference(X1,singleton(esk1_0))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_55]),c_0_52])]) ).
cnf(c_0_59,negated_conjecture,
( set_difference(esk12_3(esk1_0,esk2_0,X1),singleton(esk1_0)) = X1
| esk7_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_7]),c_0_8])]),c_0_40]) ).
cnf(c_0_60,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,X1),esk2_0)
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_57,c_0_40]) ).
cnf(c_0_61,plain,
( X3 = set_difference(esk12_3(X2,X1,X3),singleton(X2))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| esk6_2(X2,X1) != esk7_2(X2,X1)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_62,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| esk3_1(esk10_2(esk1_0,esk2_0)) != X1
| ~ in(X1,esk10_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( esk7_2(esk1_0,X1) != esk6_2(esk1_0,X1)
| esk3_1(esk10_2(esk1_0,esk2_0)) != X2
| ~ in(esk12_3(esk1_0,X1,X2),esk2_0)
| ~ in(X2,esk10_2(esk1_0,X1))
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_61]),c_0_8])]) ).
cnf(c_0_64,plain,
( in(esk12_3(X2,X1,X3),X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| esk6_2(X2,X1) != esk7_2(X2,X1)
| ~ in(X3,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_65,negated_conjecture,
esk7_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_62,c_0_52]) ).
cnf(c_0_66,negated_conjecture,
( esk3_1(esk10_2(esk1_0,esk2_0)) != X1
| ~ in(X1,esk10_2(esk1_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_63,c_0_64]),c_0_65]),c_0_7]),c_0_8])]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_66,c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.15 % Command : run_ET %s %d
% 0.14/0.37 % Computer : n016.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Mon Jun 20 00:59:54 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.27/1.46 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.46 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.46 # Preprocessing time : 0.020 s
% 0.27/1.46
% 0.27/1.46 # Proof found!
% 0.27/1.46 # SZS status Theorem
% 0.27/1.46 # SZS output start CNFRefutation
% See solution above
% 0.27/1.46 # Proof object total steps : 68
% 0.27/1.46 # Proof object clause steps : 63
% 0.27/1.46 # Proof object formula steps : 5
% 0.27/1.46 # Proof object conjectures : 47
% 0.27/1.46 # Proof object clause conjectures : 44
% 0.27/1.46 # Proof object formula conjectures : 3
% 0.27/1.46 # Proof object initial clauses used : 21
% 0.27/1.46 # Proof object initial formulas used : 2
% 0.27/1.46 # Proof object generating inferences : 37
% 0.27/1.46 # Proof object simplifying inferences : 52
% 0.27/1.46 # Training examples: 0 positive, 0 negative
% 0.27/1.46 # Parsed axioms : 42
% 0.27/1.46 # Removed by relevancy pruning/SinE : 5
% 0.27/1.46 # Initial clauses : 130
% 0.27/1.46 # Removed in clause preprocessing : 3
% 0.27/1.46 # Initial clauses in saturation : 127
% 0.27/1.46 # Processed clauses : 654
% 0.27/1.46 # ...of these trivial : 3
% 0.27/1.46 # ...subsumed : 192
% 0.27/1.46 # ...remaining for further processing : 459
% 0.27/1.46 # Other redundant clauses eliminated : 20
% 0.27/1.46 # Clauses deleted for lack of memory : 0
% 0.27/1.46 # Backward-subsumed : 54
% 0.27/1.46 # Backward-rewritten : 112
% 0.27/1.46 # Generated clauses : 1673
% 0.27/1.46 # ...of the previous two non-trivial : 1618
% 0.27/1.46 # Contextual simplify-reflections : 251
% 0.27/1.46 # Paramodulations : 1626
% 0.27/1.46 # Factorizations : 10
% 0.27/1.46 # Equation resolutions : 37
% 0.27/1.46 # Current number of processed clauses : 286
% 0.27/1.46 # Positive orientable unit clauses : 56
% 0.27/1.46 # Positive unorientable unit clauses: 0
% 0.27/1.46 # Negative unit clauses : 14
% 0.27/1.46 # Non-unit-clauses : 216
% 0.27/1.46 # Current number of unprocessed clauses: 474
% 0.27/1.46 # ...number of literals in the above : 2199
% 0.27/1.46 # Current number of archived formulas : 0
% 0.27/1.46 # Current number of archived clauses : 166
% 0.27/1.46 # Clause-clause subsumption calls (NU) : 29260
% 0.27/1.46 # Rec. Clause-clause subsumption calls : 13282
% 0.27/1.46 # Non-unit clause-clause subsumptions : 475
% 0.27/1.46 # Unit Clause-clause subsumption calls : 355
% 0.27/1.46 # Rewrite failures with RHS unbound : 0
% 0.27/1.46 # BW rewrite match attempts : 7
% 0.27/1.46 # BW rewrite match successes : 6
% 0.27/1.46 # Condensation attempts : 0
% 0.27/1.46 # Condensation successes : 0
% 0.27/1.46 # Termbank termtop insertions : 58740
% 0.27/1.46
% 0.27/1.46 # -------------------------------------------------
% 0.27/1.46 # User time : 0.130 s
% 0.27/1.46 # System time : 0.003 s
% 0.27/1.46 # Total time : 0.133 s
% 0.27/1.46 # Maximum resident set size: 4480 pages
% 0.27/23.46 eprover: CPU time limit exceeded, terminating
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50 eprover: No such file or directory
% 0.27/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51 eprover: No such file or directory
% 0.27/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51 eprover: No such file or directory
% 0.27/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.52 eprover: No such file or directory
% 0.27/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.52 eprover: No such file or directory
% 0.27/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.53 eprover: No such file or directory
% 0.27/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.54 eprover: No such file or directory
%------------------------------------------------------------------------------