%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET652+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 00:52:54 EDT 2022
% Result : Theorem 0.51s 51.69s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 76 ( 18 unt; 0 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 364 ( 143 ~; 147 |; 25 &)
% ( 5 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 144 ( 5 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p4,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p4) ).
fof(p26,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p26) ).
fof(prove_relset_1_14,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X3,X1))
=> ( subset(range_of(X4),X2)
=> ilf_type(X4,relation_type(X3,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',prove_relset_1_14) ).
fof(p3,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ( ( subset(X1,X2)
& subset(X3,X4) )
=> subset(cross_product(X1,X3),cross_product(X2,X4)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p3) ).
fof(p6,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(domain_of(X3),X1)
& subset(range_of(X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p6) ).
fof(p13,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( relation_like(X1)
& ilf_type(X1,set_type) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p13) ).
fof(p23,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> relation_like(X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p23) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p1) ).
fof(p9,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p9) ).
fof(p18,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X1,power_set(X2))
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p18) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> subset(X1,cross_product(domain_of(X1),range_of(X1))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p2) ).
fof(p20,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p20) ).
fof(p19,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p19) ).
fof(p15,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,subset_type(X1))
<=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p15) ).
fof(c_0_14,plain,
! [X5,X6,X7,X8] :
( ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6)))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])])])]) ).
fof(c_0_15,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[p26]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X3,X1))
=> ( subset(range_of(X4),X2)
=> ilf_type(X4,relation_type(X3,X2)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_14]) ).
fof(c_0_17,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X8,set_type)
| ~ subset(X5,X6)
| ~ subset(X7,X8)
| subset(cross_product(X5,X7),cross_product(X6,X8)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])])]) ).
fof(c_0_18,plain,
! [X4,X5,X6] :
( ( subset(domain_of(X6),X4)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( subset(range_of(X6),X5)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p6])])])])])]) ).
fof(c_0_19,plain,
! [X2] :
( ( relation_like(X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ilf_type(X2,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ~ relation_like(X2)
| ~ ilf_type(X2,set_type)
| ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p13])])]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
| relation_like(X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p23])])])])]) ).
cnf(c_0_21,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_23,negated_conjecture,
( ilf_type(esk12_0,set_type)
& ilf_type(esk13_0,set_type)
& ilf_type(esk14_0,set_type)
& ilf_type(esk15_0,relation_type(esk14_0,esk12_0))
& subset(range_of(esk15_0),esk13_0)
& ~ ilf_type(esk15_0,relation_type(esk14_0,esk13_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
cnf(c_0_24,plain,
( subset(cross_product(X1,X2),cross_product(X3,X4))
| ~ subset(X2,X4)
| ~ subset(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( subset(domain_of(X3),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22])]) ).
cnf(c_0_29,negated_conjecture,
ilf_type(esk15_0,relation_type(esk14_0,esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ subset(X4,X5)
| ~ subset(X5,X6)
| subset(X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])]) ).
cnf(c_0_31,plain,
( subset(cross_product(X1,X2),cross_product(X3,X4))
| ~ subset(X2,X4)
| ~ subset(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_22]),c_0_22]),c_0_22]),c_0_22])]) ).
cnf(c_0_32,negated_conjecture,
subset(range_of(esk15_0),esk13_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( subset(domain_of(X1),X2)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_22]),c_0_22])]) ).
cnf(c_0_34,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_22]),c_0_22])]) ).
cnf(c_0_36,negated_conjecture,
ilf_type(esk15_0,subset_type(cross_product(esk14_0,esk12_0))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_37,plain,
! [X4,X5,X6] :
( ( ~ subset(X4,X5)
| ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ilf_type(esk3_2(X4,X5),set_type)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk3_2(X4,X5),X4)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk3_2(X4,X5),X5)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
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)],[p9])])])])])])]) ).
fof(c_0_38,plain,
! [X4,X5,X6] :
( ( ~ member(X4,power_set(X5))
| ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ilf_type(esk6_2(X4,X5),set_type)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk6_2(X4,X5),X4)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk6_2(X4,X5),X5)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
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)],[p18])])])])])])]) ).
cnf(c_0_39,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,negated_conjecture,
( subset(cross_product(X1,range_of(esk15_0)),cross_product(X2,esk13_0))
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,negated_conjecture,
subset(domain_of(esk15_0),esk14_0),
inference(spm,[status(thm)],[c_0_33,c_0_29]) ).
fof(c_0_42,plain,
! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| subset(X2,cross_product(domain_of(X2),range_of(X2))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])]) ).
cnf(c_0_43,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_22])]) ).
cnf(c_0_44,negated_conjecture,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( member(X1,power_set(X2))
| member(esk6_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_22]),c_0_22]),c_0_22])]) ).
cnf(c_0_48,negated_conjecture,
subset(cross_product(domain_of(esk15_0),range_of(esk15_0)),cross_product(esk14_0,esk13_0)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
( subset(X1,cross_product(domain_of(X1),range_of(X1)))
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
ilf_type(esk15_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_22]),c_0_22]),c_0_22])]) ).
cnf(c_0_52,plain,
( member(esk6_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_22]),c_0_22])]) ).
cnf(c_0_53,negated_conjecture,
( subset(X1,cross_product(esk14_0,esk13_0))
| ~ subset(X1,cross_product(domain_of(esk15_0),range_of(esk15_0))) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
subset(esk15_0,cross_product(domain_of(esk15_0),range_of(esk15_0))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_55,plain,
! [X3,X4] :
( ( ~ ilf_type(X3,member_type(X4))
| member(X3,X4)
| empty(X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ member(X3,X4)
| ilf_type(X3,member_type(X4))
| empty(X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[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)],[p20])])])])])])]) ).
cnf(c_0_56,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_57,plain,
( member(esk6_2(X1,X2),X3)
| member(X1,power_set(X2))
| ~ subset(X1,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
subset(esk15_0,cross_product(esk14_0,esk13_0)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_59,plain,
! [X2] :
( ( ~ empty(power_set(X2))
| ~ ilf_type(X2,set_type) )
& ( ilf_type(power_set(X2),set_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p19])])])]) ).
fof(c_0_60,plain,
! [X3,X4] :
( ( ~ ilf_type(X4,subset_type(X3))
| ilf_type(X4,member_type(power_set(X3)))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ ilf_type(X4,member_type(power_set(X3)))
| ilf_type(X4,subset_type(X3))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])])])])]) ).
cnf(c_0_61,plain,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,plain,
( member(X1,power_set(X2))
| ~ member(esk6_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_22]),c_0_22])]) ).
cnf(c_0_63,negated_conjecture,
( member(esk6_2(esk15_0,X1),cross_product(esk14_0,esk13_0))
| member(esk15_0,power_set(X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( ilf_type(X2,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_22]),c_0_22])]) ).
cnf(c_0_67,negated_conjecture,
member(esk15_0,power_set(cross_product(esk14_0,esk13_0))),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_22])]) ).
cnf(c_0_69,plain,
( ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_70,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X1,member_type(power_set(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_22]),c_0_22])]) ).
cnf(c_0_71,negated_conjecture,
ilf_type(esk15_0,member_type(power_set(cross_product(esk14_0,esk13_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_72,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_22]),c_0_22])]) ).
cnf(c_0_73,negated_conjecture,
ilf_type(esk15_0,subset_type(cross_product(esk14_0,esk13_0))),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
~ ilf_type(esk15_0,relation_type(esk14_0,esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
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
% 0.06/0.12 % Problem : SET652+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 14:08:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.47/46.41 eprover: CPU time limit exceeded, terminating
% 0.47/46.42 eprover: CPU time limit exceeded, terminating
% 0.47/46.42 eprover: CPU time limit exceeded, terminating
% 0.47/46.44 eprover: CPU time limit exceeded, terminating
% 0.51/51.69 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.51/51.69
% 0.51/51.69 # Failure: Resource limit exceeded (time)
% 0.51/51.69 # OLD status Res
% 0.51/51.69 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.51/51.69 # Preprocessing time : 0.016 s
% 0.51/51.69 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.51/51.69 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.51/51.69 # Preprocessing time : 0.015 s
% 0.51/51.69
% 0.51/51.69 # Failure: Out of unprocessed clauses!
% 0.51/51.69 # OLD status GaveUp
% 0.51/51.69 # Parsed axioms : 27
% 0.51/51.69 # Removed by relevancy pruning/SinE : 20
% 0.51/51.69 # Initial clauses : 13
% 0.51/51.69 # Removed in clause preprocessing : 0
% 0.51/51.69 # Initial clauses in saturation : 13
% 0.51/51.69 # Processed clauses : 14
% 0.51/51.69 # ...of these trivial : 1
% 0.51/51.69 # ...subsumed : 0
% 0.51/51.69 # ...remaining for further processing : 13
% 0.51/51.69 # Other redundant clauses eliminated : 0
% 0.51/51.69 # Clauses deleted for lack of memory : 0
% 0.51/51.69 # Backward-subsumed : 0
% 0.51/51.69 # Backward-rewritten : 3
% 0.51/51.69 # Generated clauses : 4
% 0.51/51.69 # ...of the previous two non-trivial : 1
% 0.51/51.69 # Contextual simplify-reflections : 0
% 0.51/51.69 # Paramodulations : 4
% 0.51/51.69 # Factorizations : 0
% 0.51/51.69 # Equation resolutions : 0
% 0.51/51.69 # Current number of processed clauses : 10
% 0.51/51.69 # Positive orientable unit clauses : 5
% 0.51/51.69 # Positive unorientable unit clauses: 0
% 0.51/51.69 # Negative unit clauses : 1
% 0.51/51.69 # Non-unit-clauses : 4
% 0.51/51.69 # Current number of unprocessed clauses: 0
% 0.51/51.69 # ...number of literals in the above : 0
% 0.51/51.69 # Current number of archived formulas : 0
% 0.51/51.69 # Current number of archived clauses : 3
% 0.51/51.69 # Clause-clause subsumption calls (NU) : 0
% 0.51/51.69 # Rec. Clause-clause subsumption calls : 0
% 0.51/51.69 # Non-unit clause-clause subsumptions : 0
% 0.51/51.69 # Unit Clause-clause subsumption calls : 0
% 0.51/51.69 # Rewrite failures with RHS unbound : 0
% 0.51/51.69 # BW rewrite match attempts : 4
% 0.51/51.69 # BW rewrite match successes : 3
% 0.51/51.69 # Condensation attempts : 0
% 0.51/51.69 # Condensation successes : 0
% 0.51/51.69 # Termbank termtop insertions : 1258
% 0.51/51.69
% 0.51/51.69 # -------------------------------------------------
% 0.51/51.69 # User time : 0.011 s
% 0.51/51.69 # System time : 0.004 s
% 0.51/51.69 # Total time : 0.015 s
% 0.51/51.69 # Maximum resident set size: 2720 pages
% 0.51/51.69 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.51/51.69
% 0.51/51.69 # Failure: Resource limit exceeded (time)
% 0.51/51.69 # OLD status Res
% 0.51/51.69 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.51/51.69 # Preprocessing time : 0.016 s
% 0.51/51.69 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.51/51.69 # Preprocessing time : 0.018 s
% 0.51/51.69
% 0.51/51.69 # Proof found!
% 0.51/51.69 # SZS status Theorem
% 0.51/51.69 # SZS output start CNFRefutation
% See solution above
% 0.51/51.69 # Proof object total steps : 76
% 0.51/51.69 # Proof object clause steps : 47
% 0.51/51.69 # Proof object formula steps : 29
% 0.51/51.69 # Proof object conjectures : 20
% 0.51/51.69 # Proof object clause conjectures : 17
% 0.51/51.69 # Proof object formula conjectures : 3
% 0.51/51.69 # Proof object initial clauses used : 18
% 0.51/51.69 # Proof object initial formulas used : 14
% 0.51/51.69 # Proof object generating inferences : 15
% 0.51/51.69 # Proof object simplifying inferences : 44
% 0.51/51.69 # Training examples: 0 positive, 0 negative
% 0.51/51.69 # Parsed axioms : 27
% 0.51/51.69 # Removed by relevancy pruning/SinE : 0
% 0.51/51.69 # Initial clauses : 54
% 0.51/51.69 # Removed in clause preprocessing : 1
% 0.51/51.69 # Initial clauses in saturation : 53
% 0.51/51.69 # Processed clauses : 87669
% 0.51/51.69 # ...of these trivial : 104
% 0.51/51.69 # ...subsumed : 80881
% 0.51/51.69 # ...remaining for further processing : 6684
% 0.51/51.69 # Other redundant clauses eliminated : 0
% 0.51/51.69 # Clauses deleted for lack of memory : 168618
% 0.51/51.69 # Backward-subsumed : 55
% 0.51/51.69 # Backward-rewritten : 3
% 0.51/51.69 # Generated clauses : 368287
% 0.51/51.69 # ...of the previous two non-trivial : 362997
% 0.51/51.69 # Contextual simplify-reflections : 0
% 0.51/51.69 # Paramodulations : 368287
% 0.51/51.69 # Factorizations : 0
% 0.51/51.69 # Equation resolutions : 0
% 0.51/51.69 # Current number of processed clauses : 6626
% 0.51/51.69 # Positive orientable unit clauses : 3504
% 0.51/51.69 # Positive unorientable unit clauses: 0
% 0.51/51.69 # Negative unit clauses : 9
% 0.51/51.69 # Non-unit-clauses : 3113
% 0.51/51.69 # Current number of unprocessed clauses: 106532
% 0.51/51.69 # ...number of literals in the above : 188916
% 0.51/51.69 # Current number of archived formulas : 0
% 0.51/51.69 # Current number of archived clauses : 58
% 0.51/51.69 # Clause-clause subsumption calls (NU) : 4063281
% 0.51/51.69 # Rec. Clause-clause subsumption calls : 3834563
% 0.51/51.69 # Non-unit clause-clause subsumptions : 80004
% 0.51/51.69 # Unit Clause-clause subsumption calls : 39403
% 0.51/51.69 # Rewrite failures with RHS unbound : 0
% 0.51/51.69 # BW rewrite match attempts : 226313
% 0.51/51.69 # BW rewrite match successes : 3
% 0.51/51.69 # Condensation attempts : 0
% 0.51/51.69 # Condensation successes : 0
% 0.51/51.69 # Termbank termtop insertions : 7766702
% 0.51/51.69
% 0.51/51.69 # -------------------------------------------------
% 0.51/51.69 # User time : 4.327 s
% 0.51/51.69 # System time : 0.121 s
% 0.51/51.69 # Total time : 4.448 s
% 0.51/51.69 # Maximum resident set size: 137680 pages
% 0.51/69.43 eprover: CPU time limit exceeded, terminating
% 0.51/69.43 eprover: CPU time limit exceeded, terminating
% 0.51/69.44 eprover: CPU time limit exceeded, terminating
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.47 eprover: No such file or directory
% 0.51/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.47 eprover: No such file or directory
% 0.51/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.47 eprover: No such file or directory
% 0.51/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.47 eprover: No such file or directory
% 0.51/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.48 eprover: No such file or directory
% 0.51/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.48 eprover: No such file or directory
% 0.51/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.48 eprover: No such file or directory
% 0.51/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.48 eprover: No such file or directory
% 0.51/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.48 eprover: No such file or directory
% 0.51/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.48 eprover: No such file or directory
% 0.51/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.49 eprover: No such file or directory
% 0.51/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.49 eprover: No such file or directory
% 0.51/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.49 eprover: No such file or directory
% 0.51/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.49 eprover: No such file or directory
% 0.51/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.49 eprover: No such file or directory
% 0.51/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.50 eprover: No such file or directory
% 0.51/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.50 eprover: No such file or directory
%------------------------------------------------------------------------------