%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU168+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 09:17:24 EDT 2022
% Result : Theorem 0.34s 14.52s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 79 ( 13 unt; 0 def)
% Number of atoms : 306 ( 3 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 365 ( 138 ~; 175 |; 43 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 89 ( 2 sgn 38 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t136_zfmisc_1,conjecture,
! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
( in(X3,X2)
=> in(powerset(X3),X2) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t136_zfmisc_1) ).
fof(t9_tarski,axiom,
! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
~ ( in(X4,X2)
& ! [X5] :
( subset(X5,X3)
=> in(X5,X4) ) ) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t9_tarski) ).
fof(l50_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',l50_zfmisc_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d3_tarski) ).
fof(t99_zfmisc_1,lemma,
! [X1] : union(powerset(X1)) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t99_zfmisc_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
( in(X3,X2)
=> in(powerset(X3),X2) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
inference(assume_negation,[status(cth)],[t136_zfmisc_1]) ).
fof(c_0_6,negated_conjecture,
! [X6] :
( ( subset(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| in(esk2_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( ~ are_equipotent(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| in(esk2_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( ~ in(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| in(esk2_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( subset(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| in(esk2_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( ~ are_equipotent(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| in(esk2_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( ~ in(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| in(esk2_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( subset(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| subset(esk3_1(X6),esk2_1(X6))
| ~ in(esk1_0,X6) )
& ( ~ are_equipotent(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| subset(esk3_1(X6),esk2_1(X6))
| ~ in(esk1_0,X6) )
& ( ~ in(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| subset(esk3_1(X6),esk2_1(X6))
| ~ in(esk1_0,X6) )
& ( subset(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| subset(esk3_1(X6),esk2_1(X6))
| ~ in(esk1_0,X6) )
& ( ~ are_equipotent(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| subset(esk3_1(X6),esk2_1(X6))
| ~ in(esk1_0,X6) )
& ( ~ in(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| subset(esk3_1(X6),esk2_1(X6))
| ~ in(esk1_0,X6) )
& ( subset(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| ~ in(esk3_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( ~ are_equipotent(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| ~ in(esk3_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( ~ in(esk5_1(X6),X6)
| in(esk4_1(X6),X6)
| ~ in(esk3_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( subset(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| ~ in(esk3_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( ~ are_equipotent(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| ~ in(esk3_1(X6),X6)
| ~ in(esk1_0,X6) )
& ( ~ in(esk5_1(X6),X6)
| ~ in(powerset(esk4_1(X6)),X6)
| ~ in(esk3_1(X6),X6)
| ~ in(esk1_0,X6) ) ),
inference(distribute,[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)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])])]) ).
fof(c_0_7,plain,
! [X6,X8,X9,X10,X12,X13] :
( in(X6,esk8_1(X6))
& ( ~ in(X8,esk8_1(X6))
| ~ subset(X9,X8)
| in(X9,esk8_1(X6)) )
& ( in(esk9_2(X6,X10),esk8_1(X6))
| ~ in(X10,esk8_1(X6)) )
& ( ~ subset(X12,X10)
| in(X12,esk9_2(X6,X10))
| ~ in(X10,esk8_1(X6)) )
& ( ~ subset(X13,esk8_1(X6))
| are_equipotent(X13,esk8_1(X6))
| in(X13,esk8_1(X6)) ) ),
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)],[inference(fof_simplification,[status(thm)],[t9_tarski])])])])])])])]) ).
cnf(c_0_8,negated_conjecture,
( in(esk2_1(X1),X1)
| in(esk4_1(X1),X1)
| subset(esk5_1(X1),X1)
| ~ in(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
in(X1,esk8_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( in(X1,esk8_1(X2))
| ~ subset(X1,X3)
| ~ in(X3,esk8_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk2_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( subset(esk3_1(X1),esk2_1(X1))
| in(esk4_1(X1),X1)
| subset(esk5_1(X1),X1)
| ~ in(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(X1,esk8_1(esk1_0))
| ~ subset(X1,esk2_1(esk8_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( subset(esk3_1(esk8_1(esk1_0)),esk2_1(esk8_1(esk1_0)))
| subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( in(esk4_1(X1),X1)
| subset(esk5_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk3_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( in(X1,esk8_1(X2))
| are_equipotent(X1,esk8_1(X2))
| ~ subset(X1,esk8_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_9])]) ).
cnf(c_0_19,negated_conjecture,
( in(esk2_1(X1),X1)
| in(esk4_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ are_equipotent(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( are_equipotent(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk2_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_9])]) ).
cnf(c_0_22,negated_conjecture,
( subset(esk3_1(X1),esk2_1(X1))
| in(esk4_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ are_equipotent(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,negated_conjecture,
( in(esk4_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(esk3_1(X1),X1)
| ~ are_equipotent(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(X1,esk8_1(esk1_0))
| ~ subset(X1,esk2_1(esk8_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_10,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( subset(esk3_1(esk8_1(esk1_0)),esk2_1(esk8_1(esk1_0)))
| in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_9])]) ).
cnf(c_0_26,negated_conjecture,
( in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| ~ in(esk3_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_20]),c_0_9])]) ).
cnf(c_0_27,negated_conjecture,
( in(esk2_1(X1),X1)
| in(esk4_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
( in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( in(esk2_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_9])]) ).
cnf(c_0_30,negated_conjecture,
( subset(esk3_1(X1),esk2_1(X1))
| in(esk4_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,negated_conjecture,
( in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(X1,esk8_1(esk1_0))
| ~ subset(X1,esk2_1(esk8_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_10,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( subset(esk3_1(esk8_1(esk1_0)),esk2_1(esk8_1(esk1_0)))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_9])]) ).
fof(c_0_33,lemma,
! [X3,X4] :
( ~ in(X3,X4)
| subset(X3,union(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l50_zfmisc_1])]) ).
fof(c_0_34,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk6_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk6_2(X4,X5),X5)
| subset(X4,X5) ) ),
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)],[d3_tarski])])])])])])]) ).
cnf(c_0_35,negated_conjecture,
( in(esk4_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(esk3_1(X1),X1)
| ~ in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_36,negated_conjecture,
( in(esk3_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
( subset(X1,X2)
| in(esk6_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_39,lemma,
! [X2] : union(powerset(X2)) = X2,
inference(variable_rename,[status(thm)],[t99_zfmisc_1]) ).
cnf(c_0_40,plain,
( in(X3,esk9_2(X2,X1))
| ~ in(X1,esk8_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_41,negated_conjecture,
in(esk4_1(esk8_1(esk1_0)),esk8_1(esk1_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_9])]),c_0_28]) ).
cnf(c_0_42,lemma,
( subset(esk6_2(X1,X2),union(X1))
| subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,lemma,
union(powerset(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,plain,
( in(esk9_2(X2,X1),esk8_1(X2))
| ~ in(X1,esk8_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_45,negated_conjecture,
( in(X1,esk9_2(esk1_0,esk4_1(esk8_1(esk1_0))))
| ~ subset(X1,esk4_1(esk8_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,lemma,
( subset(esk6_2(powerset(X1),X2),X1)
| subset(powerset(X1),X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
in(esk9_2(esk1_0,esk4_1(esk8_1(esk1_0))),esk8_1(esk1_0)),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_48,plain,
( subset(X1,X2)
| ~ in(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_49,lemma,
( subset(powerset(esk4_1(esk8_1(esk1_0))),X1)
| in(esk6_2(powerset(esk4_1(esk8_1(esk1_0))),X1),esk9_2(esk1_0,esk4_1(esk8_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( in(X1,esk8_1(esk1_0))
| ~ subset(X1,esk9_2(esk1_0,esk4_1(esk8_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_47]) ).
cnf(c_0_51,lemma,
subset(powerset(esk4_1(esk8_1(esk1_0))),esk9_2(esk1_0,esk4_1(esk8_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( in(esk2_1(X1),X1)
| subset(esk5_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(powerset(esk4_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_53,negated_conjecture,
in(powerset(esk4_1(esk8_1(esk1_0))),esk8_1(esk1_0)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk2_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_9])]) ).
cnf(c_0_55,negated_conjecture,
( subset(esk3_1(X1),esk2_1(X1))
| subset(esk5_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(powerset(esk4_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_56,negated_conjecture,
( subset(esk5_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(esk3_1(X1),X1)
| ~ in(powerset(esk4_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_57,negated_conjecture,
( subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(X1,esk8_1(esk1_0))
| ~ subset(X1,esk2_1(esk8_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_10,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( subset(esk3_1(esk8_1(esk1_0)),esk2_1(esk8_1(esk1_0)))
| subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_53]),c_0_9])]) ).
cnf(c_0_59,negated_conjecture,
( subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| ~ in(esk3_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_53]),c_0_9])]) ).
cnf(c_0_60,negated_conjecture,
( in(esk2_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(powerset(esk4_1(X1)),X1)
| ~ are_equipotent(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_61,negated_conjecture,
subset(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( in(esk2_1(X1),X1)
| ~ in(esk1_0,X1)
| ~ in(powerset(esk4_1(X1)),X1)
| ~ in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_63,negated_conjecture,
( in(esk2_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| ~ are_equipotent(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_9])]) ).
cnf(c_0_64,negated_conjecture,
( are_equipotent(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( in(esk2_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| ~ in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_53]),c_0_9])]) ).
cnf(c_0_66,negated_conjecture,
( subset(esk3_1(X1),esk2_1(X1))
| ~ in(esk1_0,X1)
| ~ in(powerset(esk4_1(X1)),X1)
| ~ are_equipotent(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_67,negated_conjecture,
( subset(esk3_1(X1),esk2_1(X1))
| ~ in(esk1_0,X1)
| ~ in(powerset(esk4_1(X1)),X1)
| ~ in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_68,negated_conjecture,
( ~ in(esk1_0,X1)
| ~ in(esk3_1(X1),X1)
| ~ in(powerset(esk4_1(X1)),X1)
| ~ are_equipotent(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_69,negated_conjecture,
( ~ in(esk1_0,X1)
| ~ in(esk3_1(X1),X1)
| ~ in(powerset(esk4_1(X1)),X1)
| ~ in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_70,negated_conjecture,
in(esk2_1(esk8_1(esk1_0)),esk8_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( subset(esk3_1(esk8_1(esk1_0)),esk2_1(esk8_1(esk1_0)))
| ~ are_equipotent(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_53]),c_0_9])]) ).
cnf(c_0_72,negated_conjecture,
( subset(esk3_1(esk8_1(esk1_0)),esk2_1(esk8_1(esk1_0)))
| ~ in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_53]),c_0_9])]) ).
cnf(c_0_73,negated_conjecture,
( ~ are_equipotent(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| ~ in(esk3_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_53]),c_0_9])]) ).
cnf(c_0_74,negated_conjecture,
( ~ in(esk3_1(esk8_1(esk1_0)),esk8_1(esk1_0))
| ~ in(esk5_1(esk8_1(esk1_0)),esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_53]),c_0_9])]) ).
cnf(c_0_75,negated_conjecture,
( in(X1,esk8_1(esk1_0))
| ~ subset(X1,esk2_1(esk8_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_10,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
subset(esk3_1(esk8_1(esk1_0)),esk2_1(esk8_1(esk1_0))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_64]),c_0_72]) ).
cnf(c_0_77,negated_conjecture,
~ in(esk3_1(esk8_1(esk1_0)),esk8_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_64]),c_0_74]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU168+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n015.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 11:13:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/14.52 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.34/14.52 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.34/14.52 # Preprocessing time : 0.019 s
% 0.34/14.52
% 0.34/14.52 # Proof found!
% 0.34/14.52 # SZS status Theorem
% 0.34/14.52 # SZS output start CNFRefutation
% See solution above
% 0.34/14.52 # Proof object total steps : 79
% 0.34/14.52 # Proof object clause steps : 68
% 0.34/14.52 # Proof object formula steps : 11
% 0.34/14.52 # Proof object conjectures : 58
% 0.34/14.52 # Proof object clause conjectures : 55
% 0.34/14.52 # Proof object formula conjectures : 3
% 0.34/14.52 # Proof object initial clauses used : 27
% 0.34/14.52 # Proof object initial formulas used : 5
% 0.34/14.52 # Proof object generating inferences : 41
% 0.34/14.52 # Proof object simplifying inferences : 39
% 0.34/14.52 # Training examples: 0 positive, 0 negative
% 0.34/14.52 # Parsed axioms : 99
% 0.34/14.52 # Removed by relevancy pruning/SinE : 75
% 0.34/14.52 # Initial clauses : 68
% 0.34/14.52 # Removed in clause preprocessing : 0
% 0.34/14.52 # Initial clauses in saturation : 68
% 0.34/14.52 # Processed clauses : 24335
% 0.34/14.52 # ...of these trivial : 188
% 0.34/14.52 # ...subsumed : 8720
% 0.34/14.52 # ...remaining for further processing : 15427
% 0.34/14.52 # Other redundant clauses eliminated : 240
% 0.34/14.52 # Clauses deleted for lack of memory : 274921
% 0.34/14.52 # Backward-subsumed : 239
% 0.34/14.52 # Backward-rewritten : 149
% 0.34/14.52 # Generated clauses : 419618
% 0.34/14.52 # ...of the previous two non-trivial : 411514
% 0.34/14.52 # Contextual simplify-reflections : 1032
% 0.34/14.52 # Paramodulations : 416683
% 0.34/14.52 # Factorizations : 525
% 0.34/14.52 # Equation resolutions : 2410
% 0.34/14.52 # Current number of processed clauses : 15036
% 0.34/14.52 # Positive orientable unit clauses : 444
% 0.34/14.52 # Positive unorientable unit clauses: 0
% 0.34/14.52 # Negative unit clauses : 107
% 0.34/14.52 # Non-unit-clauses : 14485
% 0.34/14.52 # Current number of unprocessed clauses: 108252
% 0.34/14.52 # ...number of literals in the above : 432848
% 0.34/14.52 # Current number of archived formulas : 0
% 0.34/14.52 # Current number of archived clauses : 388
% 0.34/14.52 # Clause-clause subsumption calls (NU) : 13207609
% 0.34/14.52 # Rec. Clause-clause subsumption calls : 5521721
% 0.34/14.52 # Non-unit clause-clause subsumptions : 8366
% 0.34/14.52 # Unit Clause-clause subsumption calls : 544145
% 0.34/14.52 # Rewrite failures with RHS unbound : 0
% 0.34/14.52 # BW rewrite match attempts : 12007
% 0.34/14.52 # BW rewrite match successes : 46
% 0.34/14.52 # Condensation attempts : 0
% 0.34/14.52 # Condensation successes : 0
% 0.34/14.52 # Termbank termtop insertions : 11633902
% 0.34/14.52
% 0.34/14.52 # -------------------------------------------------
% 0.34/14.52 # User time : 13.744 s
% 0.34/14.52 # System time : 0.116 s
% 0.34/14.52 # Total time : 13.860 s
% 0.34/14.52 # Maximum resident set size: 150360 pages
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.42 eprover: No such file or directory
% 0.34/23.42 eprover: CPU time limit exceeded, terminating
% 0.34/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.42 eprover: No such file or directory
% 0.34/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.43 eprover: No such file or directory
% 0.34/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.43 eprover: No such file or directory
% 0.34/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.43 eprover: No such file or directory
% 0.34/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.43 eprover: No such file or directory
% 0.34/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.44 eprover: No such file or directory
% 0.34/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.44 eprover: No such file or directory
% 0.34/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.44 eprover: No such file or directory
% 0.34/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.44 eprover: No such file or directory
% 0.34/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.44 eprover: No such file or directory
% 0.34/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.44 eprover: No such file or directory
% 0.34/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.44 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48 eprover: No such file or directory
% 0.34/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48 eprover: No such file or directory
% 0.34/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.49 eprover: No such file or directory
% 0.34/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------