TSTP Solution File: SEU168+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU168+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 09:17:24 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 4
% Syntax : Number of formulae : 76 ( 10 unt; 0 def)
% Number of atoms : 316 ( 7 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 385 ( 145 ~; 184 |; 46 &)
% ( 3 <=>; 7 =>; 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 : 93 ( 5 sgn 41 !; 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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p',t9_tarski) ).
fof(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = powerset(X1)
<=> ! [X3] :
( in(X3,X2)
<=> subset(X3,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d1_zfmisc_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d3_tarski) ).
fof(c_0_4,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_5,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_4])])])])])])]) ).
fof(c_0_6,plain,
! [X6,X8,X9,X10,X12,X13] :
( in(X6,esk7_1(X6))
& ( ~ in(X8,esk7_1(X6))
| ~ subset(X9,X8)
| in(X9,esk7_1(X6)) )
& ( in(esk8_2(X6,X10),esk7_1(X6))
| ~ in(X10,esk7_1(X6)) )
& ( ~ subset(X12,X10)
| in(X12,esk8_2(X6,X10))
| ~ in(X10,esk7_1(X6)) )
& ( ~ subset(X13,esk7_1(X6))
| are_equipotent(X13,esk7_1(X6))
| in(X13,esk7_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_7,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_5]) ).
cnf(c_0_8,plain,
in(X1,esk7_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( in(X1,esk7_1(X2))
| ~ subset(X1,X3)
| ~ in(X3,esk7_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,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_5]) ).
cnf(c_0_12,negated_conjecture,
( subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(X1,esk7_1(esk1_0))
| ~ subset(X1,esk2_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( subset(esk3_1(esk7_1(esk1_0)),esk2_1(esk7_1(esk1_0)))
| subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_14,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_5]) ).
cnf(c_0_15,negated_conjecture,
( subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk3_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( in(X1,esk7_1(X2))
| are_equipotent(X1,esk7_1(X2))
| ~ subset(X1,esk7_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_8])]) ).
cnf(c_0_18,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_5]) ).
cnf(c_0_19,negated_conjecture,
( are_equipotent(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_8])]) ).
cnf(c_0_21,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_5]) ).
cnf(c_0_22,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_5]) ).
cnf(c_0_23,negated_conjecture,
( in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(X1,esk7_1(esk1_0))
| ~ subset(X1,esk2_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( subset(esk3_1(esk7_1(esk1_0)),esk2_1(esk7_1(esk1_0)))
| in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_19]),c_0_8])]) ).
cnf(c_0_25,negated_conjecture,
( in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| ~ in(esk3_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_8])]) ).
cnf(c_0_26,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_5]) ).
cnf(c_0_27,negated_conjecture,
( in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_8])]) ).
cnf(c_0_29,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_5]) ).
cnf(c_0_30,negated_conjecture,
( in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(X1,esk7_1(esk1_0))
| ~ subset(X1,esk2_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( subset(esk3_1(esk7_1(esk1_0)),esk2_1(esk7_1(esk1_0)))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_8])]) ).
fof(c_0_32,plain,
! [X4,X5,X6,X6,X4,X5] :
( ( ~ in(X6,X5)
| subset(X6,X4)
| X5 != powerset(X4) )
& ( ~ subset(X6,X4)
| in(X6,X5)
| X5 != powerset(X4) )
& ( ~ in(esk9_2(X4,X5),X5)
| ~ subset(esk9_2(X4,X5),X4)
| X5 = powerset(X4) )
& ( in(esk9_2(X4,X5),X5)
| subset(esk9_2(X4,X5),X4)
| X5 = powerset(X4) ) ),
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)],[d1_zfmisc_1])])])])])])]) ).
fof(c_0_33,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_34,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_5]) ).
cnf(c_0_35,negated_conjecture,
( in(esk3_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( subset(X3,X2)
| X1 != powerset(X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
( subset(X1,X2)
| in(esk6_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
( in(X3,esk8_2(X2,X1))
| ~ in(X1,esk7_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_39,negated_conjecture,
in(esk4_1(esk7_1(esk1_0)),esk7_1(esk1_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_8])]),c_0_27]) ).
cnf(c_0_40,plain,
( subset(esk6_2(X1,X2),X3)
| subset(X1,X2)
| X1 != powerset(X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( in(esk8_2(X2,X1),esk7_1(X2))
| ~ in(X1,esk7_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( in(X1,esk8_2(esk1_0,esk4_1(esk7_1(esk1_0))))
| ~ subset(X1,esk4_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
( subset(esk6_2(powerset(X1),X2),X1)
| subset(powerset(X1),X2) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_44,negated_conjecture,
in(esk8_2(esk1_0,esk4_1(esk7_1(esk1_0))),esk7_1(esk1_0)),
inference(spm,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_45,plain,
( subset(X1,X2)
| ~ in(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,negated_conjecture,
( subset(powerset(esk4_1(esk7_1(esk1_0))),X1)
| in(esk6_2(powerset(esk4_1(esk7_1(esk1_0))),X1),esk8_2(esk1_0,esk4_1(esk7_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( in(X1,esk7_1(esk1_0))
| ~ subset(X1,esk8_2(esk1_0,esk4_1(esk7_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
subset(powerset(esk4_1(esk7_1(esk1_0))),esk8_2(esk1_0,esk4_1(esk7_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,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_5]) ).
cnf(c_0_50,negated_conjecture,
in(powerset(esk4_1(esk7_1(esk1_0))),esk7_1(esk1_0)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_8])]) ).
cnf(c_0_52,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_5]) ).
cnf(c_0_53,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_5]) ).
cnf(c_0_54,negated_conjecture,
( subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(X1,esk7_1(esk1_0))
| ~ subset(X1,esk2_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( subset(esk3_1(esk7_1(esk1_0)),esk2_1(esk7_1(esk1_0)))
| subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_8])]) ).
cnf(c_0_56,negated_conjecture,
( subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| ~ in(esk3_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_50]),c_0_8])]) ).
cnf(c_0_57,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_5]) ).
cnf(c_0_58,negated_conjecture,
subset(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_59,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_5]) ).
cnf(c_0_60,negated_conjecture,
( in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| ~ are_equipotent(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_8])]) ).
cnf(c_0_61,negated_conjecture,
( are_equipotent(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
( in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| ~ in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_8])]) ).
cnf(c_0_63,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_5]) ).
cnf(c_0_64,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_5]) ).
cnf(c_0_65,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_5]) ).
cnf(c_0_66,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_5]) ).
cnf(c_0_67,negated_conjecture,
in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( subset(esk3_1(esk7_1(esk1_0)),esk2_1(esk7_1(esk1_0)))
| ~ are_equipotent(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_50]),c_0_8])]) ).
cnf(c_0_69,negated_conjecture,
( subset(esk3_1(esk7_1(esk1_0)),esk2_1(esk7_1(esk1_0)))
| ~ in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_50]),c_0_8])]) ).
cnf(c_0_70,negated_conjecture,
( ~ are_equipotent(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| ~ in(esk3_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_50]),c_0_8])]) ).
cnf(c_0_71,negated_conjecture,
( ~ in(esk3_1(esk7_1(esk1_0)),esk7_1(esk1_0))
| ~ in(esk5_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_50]),c_0_8])]) ).
cnf(c_0_72,negated_conjecture,
( in(X1,esk7_1(esk1_0))
| ~ subset(X1,esk2_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
subset(esk3_1(esk7_1(esk1_0)),esk2_1(esk7_1(esk1_0))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_61]),c_0_69]) ).
cnf(c_0_74,negated_conjecture,
~ in(esk3_1(esk7_1(esk1_0)),esk7_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_61]),c_0_71]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU168+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 06:09:48 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.41 # Preprocessing time : 0.015 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 76
% 0.24/1.41 # Proof object clause steps : 67
% 0.24/1.41 # Proof object formula steps : 9
% 0.24/1.41 # Proof object conjectures : 60
% 0.24/1.41 # Proof object clause conjectures : 57
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 26
% 0.24/1.41 # Proof object initial formulas used : 4
% 0.24/1.41 # Proof object generating inferences : 41
% 0.24/1.41 # Proof object simplifying inferences : 39
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 7
% 0.24/1.41 # Removed by relevancy pruning/SinE : 1
% 0.24/1.41 # Initial clauses : 32
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 32
% 0.24/1.41 # Processed clauses : 861
% 0.24/1.41 # ...of these trivial : 1
% 0.24/1.41 # ...subsumed : 73
% 0.24/1.41 # ...remaining for further processing : 787
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 158
% 0.24/1.41 # Backward-rewritten : 56
% 0.24/1.41 # Generated clauses : 1803
% 0.24/1.41 # ...of the previous two non-trivial : 1757
% 0.24/1.41 # Contextual simplify-reflections : 6
% 0.24/1.41 # Paramodulations : 1736
% 0.24/1.41 # Factorizations : 26
% 0.24/1.41 # Equation resolutions : 41
% 0.24/1.41 # Current number of processed clauses : 573
% 0.24/1.41 # Positive orientable unit clauses : 59
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 43
% 0.24/1.41 # Non-unit-clauses : 471
% 0.24/1.41 # Current number of unprocessed clauses: 738
% 0.24/1.41 # ...number of literals in the above : 2465
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 214
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 37252
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 27478
% 0.24/1.41 # Non-unit clause-clause subsumptions : 237
% 0.24/1.41 # Unit Clause-clause subsumption calls : 2935
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 182
% 0.24/1.41 # BW rewrite match successes : 6
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 44147
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.117 s
% 0.24/1.41 # System time : 0.003 s
% 0.24/1.41 # Total time : 0.120 s
% 0.24/1.41 # Maximum resident set size: 5420 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: eprover: No such file or directory
% 0.24/23.48 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------