%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU266+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 09:18:26 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 102 ( 18 unt; 0 def)
% Number of atoms : 274 ( 58 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 288 ( 116 ~; 136 |; 16 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-3 aty)
% Number of variables : 181 ( 14 sgn 96 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t23_relset_1,conjecture,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( ! [X4] :
~ ( in(X4,X2)
& ! [X5] : ~ in(ordered_pair(X5,X4),X3) )
<=> relation_rng_as_subset(X1,X2,X3) = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_relset_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_tarski) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k2_tarski) ).
fof(redefinition_k5_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> relation_rng_as_subset(X1,X2,X3) = relation_rng(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k5_relset_1) ).
fof(t20_relat_1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t20_relat_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_relat_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_relset_1) ).
fof(dt_k5_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> element(relation_rng_as_subset(X1,X2,X3),powerset(X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_relset_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_tarski) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_relset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
fof(c_0_15,negated_conjecture,
~ ! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( ! [X4] :
~ ( in(X4,X2)
& ! [X5] : ~ in(ordered_pair(X5,X4),X3) )
<=> relation_rng_as_subset(X1,X2,X3) = X2 ) ),
inference(assume_negation,[status(cth)],[t23_relset_1]) ).
fof(c_0_16,negated_conjecture,
! [X10,X11] :
( relation_of2_as_subset(esk11_0,esk9_0,esk10_0)
& ( in(esk12_0,esk10_0)
| relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0 )
& ( ~ in(ordered_pair(X10,esk12_0),esk11_0)
| relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0 )
& ( ~ in(X11,esk10_0)
| in(ordered_pair(esk13_1(X11),X11),esk11_0)
| relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0 ) ),
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)],[c_0_15])])])])])])])]) ).
fof(c_0_17,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
cnf(c_0_18,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0
| ~ in(ordered_pair(X1,esk12_0),esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_21,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0
| ~ in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),esk11_0) ),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
! [X4,X5,X6] :
( ~ relation_of2(X6,X4,X5)
| relation_rng_as_subset(X4,X5,X6) = relation_rng(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1])]) ).
fof(c_0_24,plain,
! [X4,X5,X6] :
( ( in(X4,relation_dom(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) )
& ( in(X5,relation_rng(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
cnf(c_0_25,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| in(ordered_pair(esk13_1(X1),X1),esk11_0)
| ~ in(X1,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk11_0) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( relation_rng_as_subset(X1,X2,X3) = relation_rng(X3)
| ~ relation_of2(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ relation_of2_as_subset(X6,X4,X5)
| relation_of2(X6,X4,X5) )
& ( ~ relation_of2(X6,X4,X5)
| relation_of2_as_subset(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_29,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(esk1_3(X5,X6,X7),X7),X5)
| X6 != relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(esk2_2(X5,X6),X6)
| ~ in(ordered_pair(X11,esk2_2(X5,X6)),X5)
| X6 = relation_rng(X5)
| ~ relation(X5) )
& ( in(esk2_2(X5,X6),X6)
| in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)
| X6 = relation_rng(X5)
| ~ relation(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)],[d5_relat_1])])])])])])]) ).
fof(c_0_30,plain,
! [X4,X5,X6] :
( ~ relation_of2_as_subset(X6,X4,X5)
| element(X6,powerset(cartesian_product2(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_31,plain,
( in(X3,relation_rng(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( ~ relation_of2(X6,X4,X5)
| element(relation_rng_as_subset(X4,X5,X6),powerset(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_1])]) ).
cnf(c_0_33,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| in(unordered_pair(unordered_pair(esk13_1(X1),X1),singleton(esk13_1(X1))),esk11_0)
| ~ in(X1,esk10_0) ),
inference(rw,[status(thm)],[c_0_25,c_0_19]) ).
fof(c_0_34,plain,
! [X4,X5] :
( ( ~ in(esk14_2(X4,X5),X4)
| ~ in(esk14_2(X4,X5),X5)
| X4 = X5 )
& ( in(esk14_2(X4,X5),X4)
| in(esk14_2(X4,X5),X5)
| X4 = X5 ) ),
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)],[t2_tarski])])])])])]) ).
cnf(c_0_35,negated_conjecture,
( relation_rng(esk11_0) != esk10_0
| ~ relation_of2(esk11_0,esk9_0,esk10_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk11_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_36,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
relation_of2_as_subset(esk11_0,esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,plain,
( in(ordered_pair(esk1_3(X1,X2,X3),X3),X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_39,plain,
! [X4,X5,X6] :
( ~ element(X6,powerset(cartesian_product2(X4,X5)))
| relation(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_40,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( in(X3,relation_rng(X1))
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(rw,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_42,plain,
( element(relation_rng_as_subset(X1,X2,X3),powerset(X2))
| ~ relation_of2(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| in(unordered_pair(singleton(esk13_1(X1)),unordered_pair(X1,esk13_1(X1))),esk11_0)
| ~ in(X1,esk10_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_22]),c_0_22]) ).
cnf(c_0_44,plain,
( X1 = X2
| in(esk14_2(X1,X2),X2)
| in(esk14_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,negated_conjecture,
( relation_rng(esk11_0) != esk10_0
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_46,plain,
( in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),X3),singleton(esk1_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[c_0_38,c_0_19]) ).
cnf(c_0_47,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
element(esk11_0,powerset(cartesian_product2(esk9_0,esk10_0))),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_49,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_50,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2) ),
inference(rw,[status(thm)],[c_0_41,c_0_22]) ).
cnf(c_0_51,plain,
( element(relation_rng(X1),powerset(X2))
| ~ relation_of2(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_52,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| X1 = esk10_0
| in(unordered_pair(singleton(esk13_1(esk14_2(X1,esk10_0))),unordered_pair(esk14_2(X1,esk10_0),esk13_1(esk14_2(X1,esk10_0)))),esk11_0)
| in(esk14_2(X1,esk10_0),X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,negated_conjecture,
( relation_rng(esk11_0) != esk10_0
| ~ in(unordered_pair(singleton(X1),unordered_pair(esk12_0,X1)),esk11_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_22]) ).
cnf(c_0_54,plain,
( in(unordered_pair(singleton(esk1_3(X1,X2,X3)),unordered_pair(X3,esk1_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_22]),c_0_22]) ).
cnf(c_0_55,negated_conjecture,
relation(esk11_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_rng(esk11_0) != esk10_0
| ~ relation_of2(esk11_0,esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_27]) ).
cnf(c_0_57,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_22]) ).
cnf(c_0_58,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| esk10_0 = X1
| in(unordered_pair(singleton(esk13_1(esk14_2(esk10_0,X1))),unordered_pair(esk14_2(esk10_0,X1),esk13_1(esk14_2(esk10_0,X1)))),esk11_0)
| in(esk14_2(esk10_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_59,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_60,plain,
( element(relation_rng(X1),powerset(X2))
| ~ relation_of2_as_subset(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_36]) ).
cnf(c_0_61,negated_conjecture,
( X1 = esk10_0
| in(unordered_pair(singleton(esk13_1(esk14_2(X1,esk10_0))),unordered_pair(esk14_2(X1,esk10_0),esk13_1(esk14_2(X1,esk10_0)))),esk11_0)
| in(esk14_2(X1,esk10_0),X1)
| in(esk12_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
( relation_rng(esk11_0) != esk10_0
| X1 != relation_rng(esk11_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_63,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_rng(esk11_0) != esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_36]),c_0_37])]) ).
fof(c_0_64,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_65,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_66,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| esk10_0 = X1
| in(esk14_2(esk10_0,X1),relation_rng(esk11_0))
| in(esk14_2(esk10_0,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_55])]) ).
cnf(c_0_67,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,negated_conjecture,
element(relation_rng(esk11_0),powerset(esk10_0)),
inference(spm,[status(thm)],[c_0_60,c_0_37]) ).
cnf(c_0_69,negated_conjecture,
( X1 = esk10_0
| in(esk14_2(X1,esk10_0),relation_rng(esk11_0))
| in(esk14_2(X1,esk10_0),X1)
| in(esk12_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_61]),c_0_55])]) ).
cnf(c_0_70,negated_conjecture,
relation_rng(esk11_0) != esk10_0,
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
( X1 = X2
| ~ in(esk14_2(X1,X2),X2)
| ~ in(esk14_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_72,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_74,negated_conjecture,
( esk10_0 = X1
| in(esk14_2(esk10_0,X1),relation_rng(esk11_0))
| in(esk14_2(esk10_0,X1),X1)
| in(esk12_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_66]) ).
fof(c_0_75,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_76,negated_conjecture,
( element(X1,esk10_0)
| ~ in(X1,relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,negated_conjecture,
( in(esk14_2(relation_rng(esk11_0),esk10_0),relation_rng(esk11_0))
| in(esk12_0,esk10_0) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_69]),c_0_70]) ).
cnf(c_0_78,plain,
( X1 = X2
| empty(X2)
| ~ element(esk14_2(X1,X2),X2)
| ~ in(esk14_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
( ~ empty(esk10_0)
| ~ in(X1,relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_68]) ).
cnf(c_0_80,negated_conjecture,
( in(esk14_2(esk10_0,relation_rng(esk11_0)),relation_rng(esk11_0))
| in(esk12_0,esk10_0) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_74]),c_0_70]) ).
cnf(c_0_81,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,negated_conjecture,
( element(esk14_2(relation_rng(esk11_0),esk10_0),esk10_0)
| in(esk12_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( empty(esk10_0)
| in(esk12_0,esk10_0)
| ~ element(esk14_2(relation_rng(esk11_0),esk10_0),esk10_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_77]),c_0_70]) ).
cnf(c_0_84,negated_conjecture,
~ empty(esk10_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_85,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| element(esk14_2(relation_rng(esk11_0),esk10_0),esk10_0)
| in(unordered_pair(singleton(esk13_1(esk12_0)),unordered_pair(esk12_0,esk13_1(esk12_0))),esk11_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_82]) ).
fof(c_0_86,plain,
( ~ epred2_0
<=> ! [X1] : ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk11_0) ),
introduced(definition) ).
cnf(c_0_87,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| in(unordered_pair(singleton(esk13_1(esk12_0)),unordered_pair(esk12_0,esk13_1(esk12_0))),esk11_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_83]),c_0_84]),c_0_85]) ).
cnf(c_0_88,negated_conjecture,
( epred2_0
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk11_0) ),
inference(split_equiv,[status(thm)],[c_0_86]) ).
cnf(c_0_89,negated_conjecture,
( in(unordered_pair(singleton(esk13_1(esk12_0)),unordered_pair(esk12_0,esk13_1(esk12_0))),esk11_0)
| ~ relation_of2(esk11_0,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_87]),c_0_70]) ).
fof(c_0_90,plain,
( ~ epred1_0
<=> ! [X2] :
( in(esk14_2(X2,esk10_0),X2)
| in(esk14_2(X2,esk10_0),relation_rng(esk11_0))
| X2 = esk10_0 ) ),
introduced(definition) ).
cnf(c_0_91,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| X1 = esk10_0
| in(esk14_2(X1,esk10_0),relation_rng(esk11_0))
| in(esk14_2(X1,esk10_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_52]),c_0_55])]) ).
cnf(c_0_92,negated_conjecture,
( epred2_0
| ~ in(unordered_pair(singleton(X1),unordered_pair(esk12_0,X1)),esk11_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_22]) ).
cnf(c_0_93,negated_conjecture,
in(unordered_pair(singleton(esk13_1(esk12_0)),unordered_pair(esk12_0,esk13_1(esk12_0))),esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_36]),c_0_37])]) ).
cnf(c_0_94,negated_conjecture,
( X1 = esk10_0
| epred1_0
| in(esk14_2(X1,esk10_0),relation_rng(esk11_0))
| in(esk14_2(X1,esk10_0),X1) ),
inference(split_equiv,[status(thm)],[c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_91]),c_0_90]),c_0_86]) ).
cnf(c_0_96,negated_conjecture,
epred2_0,
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,negated_conjecture,
( epred1_0
| in(esk14_2(relation_rng(esk11_0),esk10_0),relation_rng(esk11_0)) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_94]),c_0_70]) ).
cnf(c_0_98,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]) ).
cnf(c_0_99,negated_conjecture,
in(esk14_2(relation_rng(esk11_0),esk10_0),relation_rng(esk11_0)),
inference(sr,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_100,negated_conjecture,
~ element(esk14_2(relation_rng(esk11_0),esk10_0),esk10_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_99]),c_0_70]),c_0_84]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_99]),c_0_100]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU266+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 03:55:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.43 # Preprocessing time : 0.016 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 102
% 0.25/1.43 # Proof object clause steps : 69
% 0.25/1.43 # Proof object formula steps : 33
% 0.25/1.43 # Proof object conjectures : 49
% 0.25/1.43 # Proof object clause conjectures : 46
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 21
% 0.25/1.43 # Proof object initial formulas used : 15
% 0.25/1.43 # Proof object generating inferences : 38
% 0.25/1.43 # Proof object simplifying inferences : 40
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 38
% 0.25/1.43 # Removed by relevancy pruning/SinE : 0
% 0.25/1.43 # Initial clauses : 48
% 0.25/1.43 # Removed in clause preprocessing : 11
% 0.25/1.43 # Initial clauses in saturation : 37
% 0.25/1.43 # Processed clauses : 804
% 0.25/1.43 # ...of these trivial : 4
% 0.25/1.43 # ...subsumed : 307
% 0.25/1.43 # ...remaining for further processing : 492
% 0.25/1.43 # Other redundant clauses eliminated : 0
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 82
% 0.25/1.43 # Backward-rewritten : 90
% 0.25/1.43 # Generated clauses : 2723
% 0.25/1.43 # ...of the previous two non-trivial : 2589
% 0.25/1.43 # Contextual simplify-reflections : 106
% 0.25/1.43 # Paramodulations : 2661
% 0.25/1.43 # Factorizations : 32
% 0.25/1.43 # Equation resolutions : 7
% 0.25/1.43 # Current number of processed clauses : 307
% 0.25/1.43 # Positive orientable unit clauses : 43
% 0.25/1.43 # Positive unorientable unit clauses: 1
% 0.25/1.43 # Negative unit clauses : 25
% 0.25/1.43 # Non-unit-clauses : 238
% 0.25/1.43 # Current number of unprocessed clauses: 1247
% 0.25/1.43 # ...number of literals in the above : 5735
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 181
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 18059
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 9845
% 0.25/1.43 # Non-unit clause-clause subsumptions : 325
% 0.25/1.43 # Unit Clause-clause subsumption calls : 2766
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 36
% 0.25/1.43 # BW rewrite match successes : 16
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 61393
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.118 s
% 0.25/1.43 # System time : 0.002 s
% 0.25/1.43 # Total time : 0.120 s
% 0.25/1.43 # Maximum resident set size: 5324 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------