%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU168+3 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 : 300s
% DateTime : Tue May 5 05:10:54 PM UTC 2026
% Result : Theorem 1.82s 1.87s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 90 ( 13 unt; 0 def)
% Number of atoms : 359 ( 7 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 434 ( 165 ~; 203 |; 54 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 6 ( 1 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 : 131 ( 1 sgn 51 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',t9_tarski) ).
fof(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = powerset(X1)
<=> ! [X3] :
( in(X3,X2)
<=> subset(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
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/benchmark/theBenchmark.p',t136_zfmisc_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(c_0_5,plain,
! [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) ) ),
inference(fof_simplification,[status(thm)],[t9_tarski]) ).
fof(c_0_6,plain,
! [X34,X35,X36,X37,X38,X39] :
( ( ~ in(X36,X35)
| subset(X36,X34)
| X35 != powerset(X34) )
& ( ~ subset(X37,X34)
| in(X37,X35)
| X35 != powerset(X34) )
& ( ~ in(esk1_2(X38,X39),X39)
| ~ subset(esk1_2(X38,X39),X38)
| X39 = powerset(X38) )
& ( in(esk1_2(X38,X39),X39)
| subset(esk1_2(X38,X39),X38)
| X39 = powerset(X38) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_zfmisc_1])])])])])]) ).
fof(c_0_7,plain,
! [X41,X42,X43,X44,X45] :
( ( ~ subset(X41,X42)
| ~ in(X43,X41)
| in(X43,X42) )
& ( in(esk2_2(X44,X45),X44)
| subset(X44,X45) )
& ( ~ in(esk2_2(X44,X45),X45)
| subset(X44,X45) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
fof(c_0_8,plain,
! [X56,X58,X59,X60,X62,X63] :
( in(X56,esk10_1(X56))
& ( ~ in(X58,esk10_1(X56))
| ~ subset(X59,X58)
| in(X59,esk10_1(X56)) )
& ( in(esk11_2(X56,X60),esk10_1(X56))
| ~ in(X60,esk10_1(X56)) )
& ( ~ subset(X62,X60)
| in(X62,esk11_2(X56,X60))
| ~ in(X60,esk10_1(X56)) )
& ( ~ subset(X63,esk10_1(X56))
| are_equipotent(X63,esk10_1(X56))
| in(X63,esk10_1(X56)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_9,plain,
( subset(X1,X3)
| ~ in(X1,X2)
| X2 != powerset(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( in(X1,esk11_2(X3,X2))
| ~ subset(X1,X2)
| ~ in(X2,esk10_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( subset(X1,X2)
| ~ in(X1,powerset(X2)) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( in(esk2_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t136_zfmisc_1])]) ).
cnf(c_0_15,plain,
( in(X3,esk10_1(X2))
| ~ in(X1,esk10_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( in(esk11_2(X1,X2),esk10_1(X1))
| ~ in(X2,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( subset(X1,esk11_2(X2,X3))
| ~ subset(esk2_2(X1,esk11_2(X2,X3)),X3)
| ~ in(X3,esk10_1(X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
( subset(esk2_2(powerset(X1),X2),X1)
| subset(powerset(X1),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_19,negated_conjecture,
! [X51] :
( ( subset(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| in(esk6_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( ~ are_equipotent(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| in(esk6_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( ~ in(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| in(esk6_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( subset(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| in(esk6_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( ~ are_equipotent(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| in(esk6_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( ~ in(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| in(esk6_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( subset(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| subset(esk7_1(X51),esk6_1(X51))
| ~ in(esk5_0,X51) )
& ( ~ are_equipotent(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| subset(esk7_1(X51),esk6_1(X51))
| ~ in(esk5_0,X51) )
& ( ~ in(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| subset(esk7_1(X51),esk6_1(X51))
| ~ in(esk5_0,X51) )
& ( subset(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| subset(esk7_1(X51),esk6_1(X51))
| ~ in(esk5_0,X51) )
& ( ~ are_equipotent(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| subset(esk7_1(X51),esk6_1(X51))
| ~ in(esk5_0,X51) )
& ( ~ in(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| subset(esk7_1(X51),esk6_1(X51))
| ~ in(esk5_0,X51) )
& ( subset(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| ~ in(esk7_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( ~ are_equipotent(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| ~ in(esk7_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( ~ in(esk9_1(X51),X51)
| in(esk8_1(X51),X51)
| ~ in(esk7_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( subset(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| ~ in(esk7_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( ~ are_equipotent(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| ~ in(esk7_1(X51),X51)
| ~ in(esk5_0,X51) )
& ( ~ in(esk9_1(X51),X51)
| ~ in(powerset(esk8_1(X51)),X51)
| ~ in(esk7_1(X51),X51)
| ~ in(esk5_0,X51) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_20,plain,
( in(X1,esk10_1(X2))
| ~ subset(X1,esk11_2(X2,X3))
| ~ in(X3,esk10_1(X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( subset(powerset(X1),esk11_2(X2,X1))
| ~ in(X1,esk10_1(X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( subset(esk9_1(X1),X1)
| in(esk6_1(X1),X1)
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( in(powerset(X1),esk10_1(X2))
| ~ in(X1,esk10_1(X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( subset(esk9_1(X1),X1)
| in(esk8_1(X1),X1)
| in(esk6_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( subset(esk9_1(esk10_1(X1)),esk10_1(X1))
| in(esk6_1(esk10_1(X1)),esk10_1(X1))
| ~ in(esk5_0,esk10_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_26,plain,
in(X1,esk10_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( subset(esk9_1(X1),X1)
| subset(esk7_1(X1),esk6_1(X1))
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
( subset(esk9_1(X1),X1)
| in(esk8_1(X1),X1)
| subset(esk7_1(X1),esk6_1(X1))
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( subset(esk7_1(esk10_1(X1)),esk6_1(esk10_1(X1)))
| subset(esk9_1(esk10_1(X1)),esk10_1(X1))
| ~ in(esk5_0,esk10_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( subset(esk9_1(X1),X1)
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk7_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( subset(esk9_1(X1),X1)
| in(esk8_1(X1),X1)
| ~ in(esk7_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,negated_conjecture,
( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(X1,esk10_1(esk5_0))
| ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( subset(esk7_1(esk10_1(esk5_0)),esk6_1(esk10_1(esk5_0)))
| subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( subset(esk9_1(esk10_1(X1)),esk10_1(X1))
| ~ in(esk7_1(esk10_1(X1)),esk10_1(X1))
| ~ in(esk5_0,esk10_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
cnf(c_0_38,plain,
( are_equipotent(X1,esk10_1(X2))
| in(X1,esk10_1(X2))
| ~ subset(X1,esk10_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,negated_conjecture,
subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26])]) ).
cnf(c_0_40,negated_conjecture,
( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(X1,esk10_1(esk5_0))
| ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( subset(esk7_1(esk10_1(esk5_0)),esk6_1(esk10_1(esk5_0)))
| subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_42,negated_conjecture,
( in(esk6_1(X1),X1)
| ~ are_equipotent(esk9_1(X1),X1)
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,negated_conjecture,
( are_equipotent(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| ~ in(powerset(esk8_1(esk10_1(esk5_0))),esk10_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_26])]) ).
cnf(c_0_46,negated_conjecture,
( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_26])]) ).
cnf(c_0_47,negated_conjecture,
( in(esk8_1(X1),X1)
| in(esk6_1(X1),X1)
| ~ are_equipotent(esk9_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_48,negated_conjecture,
( in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| ~ in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_49,negated_conjecture,
( ~ are_equipotent(esk9_1(X1),X1)
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk7_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_50,negated_conjecture,
( in(esk8_1(X1),X1)
| ~ are_equipotent(esk9_1(X1),X1)
| ~ in(esk7_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_51,negated_conjecture,
( are_equipotent(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_43]),c_0_26])]),c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( in(esk8_1(X1),X1)
| subset(esk7_1(X1),esk6_1(X1))
| ~ are_equipotent(esk9_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_54,negated_conjecture,
( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| ~ in(powerset(esk8_1(esk10_1(esk5_0))),esk10_1(esk5_0))
| ~ in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_26])]) ).
cnf(c_0_55,negated_conjecture,
( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| ~ in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_26])]) ).
cnf(c_0_56,negated_conjecture,
( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(X1,esk10_1(esk5_0))
| ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( subset(esk7_1(esk10_1(esk5_0)),esk6_1(esk10_1(esk5_0)))
| in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_43]),c_0_26])]) ).
cnf(c_0_58,negated_conjecture,
( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| ~ in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_23]),c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( in(esk8_1(X1),X1)
| in(esk6_1(X1),X1)
| ~ in(esk9_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_60,negated_conjecture,
( in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_26])]) ).
cnf(c_0_62,negated_conjecture,
( in(esk8_1(X1),X1)
| subset(esk7_1(X1),esk6_1(X1))
| ~ in(esk9_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_63,negated_conjecture,
( in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(X1,esk10_1(esk5_0))
| ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_61]) ).
cnf(c_0_64,negated_conjecture,
( subset(esk7_1(esk10_1(esk5_0)),esk6_1(esk10_1(esk5_0)))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_26])]) ).
cnf(c_0_65,plain,
( in(X1,esk10_1(X2))
| ~ subset(X1,powerset(X3))
| ~ in(X3,esk10_1(X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_66,negated_conjecture,
( in(esk8_1(X1),X1)
| ~ in(esk9_1(X1),X1)
| ~ in(esk7_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_67,negated_conjecture,
( in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0))
| in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,plain,
( subset(powerset(powerset(X1)),X2)
| in(esk2_2(powerset(powerset(X1)),X2),esk10_1(X3))
| ~ in(X1,esk10_1(X3)) ),
inference(spm,[status(thm)],[c_0_65,c_0_18]) ).
cnf(c_0_69,negated_conjecture,
in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_26])]),c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( subset(powerset(powerset(esk8_1(esk10_1(esk5_0)))),X1)
| in(esk2_2(powerset(powerset(esk8_1(esk10_1(esk5_0)))),X1),esk10_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_72,negated_conjecture,
subset(powerset(powerset(esk8_1(esk10_1(esk5_0)))),esk10_1(esk5_0)),
inference(spm,[status(thm)],[c_0_10,c_0_70]) ).
cnf(c_0_73,plain,
( in(X1,X3)
| ~ subset(X1,X2)
| X3 != powerset(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_74,negated_conjecture,
( in(X1,esk10_1(esk5_0))
| ~ in(X1,powerset(powerset(esk8_1(esk10_1(esk5_0))))) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(er,[status(thm)],[c_0_73]) ).
fof(c_0_76,plain,
! [X49] : subset(X49,X49),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_77,negated_conjecture,
( in(X1,esk10_1(esk5_0))
| ~ subset(X1,powerset(esk8_1(esk10_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_79,negated_conjecture,
( in(esk6_1(X1),X1)
| ~ in(esk9_1(X1),X1)
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_80,negated_conjecture,
in(powerset(esk8_1(esk10_1(esk5_0))),esk10_1(esk5_0)),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_26])]),c_0_52]) ).
cnf(c_0_82,negated_conjecture,
( ~ in(esk9_1(X1),X1)
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk7_1(X1),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_83,negated_conjecture,
( in(X1,esk10_1(esk5_0))
| ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_81]) ).
cnf(c_0_84,negated_conjecture,
( subset(esk7_1(X1),esk6_1(X1))
| ~ in(esk9_1(X1),X1)
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_85,negated_conjecture,
~ in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_80]),c_0_26])]),c_0_58]) ).
cnf(c_0_86,negated_conjecture,
~ in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_80]),c_0_26])]),c_0_85]) ).
cnf(c_0_87,negated_conjecture,
( subset(esk7_1(X1),esk6_1(X1))
| ~ are_equipotent(esk9_1(X1),X1)
| ~ in(powerset(esk8_1(X1)),X1)
| ~ in(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_88,negated_conjecture,
are_equipotent(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
inference(sr,[status(thm)],[c_0_43,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_87]),c_0_80]),c_0_26])]),c_0_85]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU168+3 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n001.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:46:34 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.82/1.87 % Version : CSE_E---1.7
% 1.82/1.87 % Problem : theBenchmark.p
% 1.82/1.87 % SZS status Theorem for theBenchmark.p
% 1.82/1.87 % SZS output start CNFRefutation
% See solution above
% 1.82/1.87 % Total time : 1.371s
%------------------------------------------------------------------------------