%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET671+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 00:53:02 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 81 ( 14 unt; 0 def)
% Number of atoms : 393 ( 27 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 528 ( 216 ~; 229 |; 30 &)
% ( 6 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 200 ( 16 sgn 80 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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)
=> ! [X5] :
( ilf_type(X5,relation_type(X1,X2))
=> ( member(ordered_pair(X3,X4),X5)
=> ( member(X3,X1)
& member(X4,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p3) ).
fof(p27,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p27) ).
fof(prove_relset_1_34,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(X2,X1))
=> ( subset(X2,X3)
=> restrict4(X2,X1,X4,X3) = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_relset_1_34) ).
fof(p6,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.mepo_128.in',p6) ).
fof(p21,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( relation_like(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X1)
=> ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( ilf_type(X4,set_type)
& X2 = ordered_pair(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p21) ).
fof(p22,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.mepo_128.in',p22) ).
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.mepo_128.in',p4) ).
fof(p26,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p26) ).
fof(p25,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> restrict4(X1,X2,X3,X4) = restrict(X3,X4) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p25) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,binary_relation_type)
=> ( member(ordered_pair(X2,X3),restrict(X4,X1))
<=> ( member(X2,X1)
& member(ordered_pair(X2,X3),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p2) ).
fof(p10,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.mepo_128.in',p10) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( X1 = X2
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ( member(ordered_pair(X3,X4),X1)
<=> member(ordered_pair(X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p1) ).
fof(c_0_12,plain,
! [X6,X7,X8,X9,X10] :
( ( member(X8,X6)
| ~ member(ordered_pair(X8,X9),X10)
| ~ ilf_type(X10,relation_type(X6,X7))
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( member(X9,X7)
| ~ member(ordered_pair(X8,X9),X10)
| ~ ilf_type(X10,relation_type(X6,X7))
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,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)],[p3])])])])])]) ).
fof(c_0_13,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[p27]) ).
fof(c_0_14,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(X2,X1))
=> ( subset(X2,X3)
=> restrict4(X2,X1,X4,X3) = X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_34]) ).
fof(c_0_15,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(esk5_2(X4,X5),set_type)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk5_2(X4,X5),X4)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk5_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)],[p6])])])])])])]) ).
cnf(c_0_16,plain,
( member(X3,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,relation_type(X1,X2))
| ~ member(ordered_pair(X3,X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,set_type)
& ilf_type(esk4_0,relation_type(esk2_0,esk1_0))
& subset(esk2_0,esk3_0)
& restrict4(esk2_0,esk1_0,esk4_0,esk3_0) != esk4_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_14])])])])]) ).
fof(c_0_19,plain,
! [X5,X6,X10,X11] :
( ( ilf_type(esk9_2(X5,X6),set_type)
| ~ member(X6,X5)
| ~ ilf_type(X6,set_type)
| ~ relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( ilf_type(esk10_2(X5,X6),set_type)
| ~ member(X6,X5)
| ~ ilf_type(X6,set_type)
| ~ relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( X6 = ordered_pair(esk9_2(X5,X6),esk10_2(X5,X6))
| ~ member(X6,X5)
| ~ ilf_type(X6,set_type)
| ~ relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( ilf_type(esk11_1(X5),set_type)
| relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( member(esk11_1(X5),X5)
| relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X10,set_type)
| ~ ilf_type(X11,set_type)
| esk11_1(X5) != ordered_pair(X10,X11)
| relation_like(X5)
| ~ ilf_type(X5,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)],[p21])])])])])])]) ).
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)],[p22])])])])]) ).
fof(c_0_21,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_22,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X8,set_type)
| ilf_type(restrict4(X5,X6,X7,X8),relation_type(X5,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)],[p26])])])])]) ).
fof(c_0_23,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X8,set_type)
| restrict4(X5,X6,X7,X8) = restrict(X7,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)],[p25])])])])]) ).
fof(c_0_24,plain,
! [X5,X6,X7,X8] :
( ( member(X6,X5)
| ~ member(ordered_pair(X6,X7),restrict(X8,X5))
| ~ ilf_type(X8,binary_relation_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( member(ordered_pair(X6,X7),X8)
| ~ member(ordered_pair(X6,X7),restrict(X8,X5))
| ~ ilf_type(X8,binary_relation_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( ~ member(X6,X5)
| ~ member(ordered_pair(X6,X7),X8)
| member(ordered_pair(X6,X7),restrict(X8,X5))
| ~ ilf_type(X8,binary_relation_type)
| ~ ilf_type(X7,set_type)
| ~ 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)],[p2])])])])])]) ).
cnf(c_0_25,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_15]) ).
cnf(c_0_26,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),X4)
| ~ ilf_type(X4,relation_type(X2,X5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_27,negated_conjecture,
ilf_type(esk4_0,relation_type(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( X2 = ordered_pair(esk9_2(X1,X2),esk10_2(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_29,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)],[p10])])]) ).
cnf(c_0_30,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_31,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_21]) ).
cnf(c_0_32,plain,
( ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
( restrict4(X1,X2,X3,X4) = restrict(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( member(ordered_pair(X2,X3),restrict(X4,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X2,X3),X4)
| ~ member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_36,negated_conjecture,
subset(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,negated_conjecture,
( member(X1,esk2_0)
| ~ member(ordered_pair(X1,X2),esk4_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_38,plain,
( ordered_pair(esk9_2(X1,X2),esk10_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_17]),c_0_17])]) ).
cnf(c_0_39,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_29]) ).
cnf(c_0_40,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_30,c_0_17]),c_0_17])]) ).
cnf(c_0_41,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_31,c_0_17]),c_0_17])]) ).
cnf(c_0_42,plain,
( ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_43,plain,
( restrict4(X1,X2,X3,X4) = restrict(X3,X4)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_44,plain,
( member(ordered_pair(X1,X2),restrict(X3,X4))
| ~ member(ordered_pair(X1,X2),X3)
| ~ member(X1,X4)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_45,negated_conjecture,
( member(X1,esk3_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,negated_conjecture,
( member(esk9_2(X1,X2),esk2_0)
| ~ relation_like(X1)
| ~ member(X2,esk4_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
( ilf_type(restrict(X1,X2),relation_type(X3,X4))
| ~ ilf_type(X1,relation_type(X3,X4)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( member(X1,restrict(X2,X3))
| ~ relation_like(X4)
| ~ member(esk9_2(X4,X1),X3)
| ~ member(X1,X2)
| ~ member(X1,X4)
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_44,c_0_38]) ).
cnf(c_0_51,negated_conjecture,
( member(esk9_2(X1,X2),esk3_0)
| ~ relation_like(X1)
| ~ member(X2,esk4_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( subset(X1,X2)
| member(esk5_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_53,plain,
! [X5,X6,X7,X8] :
( ( ~ member(ordered_pair(X7,X8),X5)
| member(ordered_pair(X7,X8),X6)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| X5 != X6
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( ~ member(ordered_pair(X7,X8),X6)
| member(ordered_pair(X7,X8),X5)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| X5 != X6
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( ilf_type(esk7_2(X5,X6),set_type)
| X5 = X6
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( ilf_type(esk8_2(X5,X6),set_type)
| X5 = X6
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( ~ member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)
| ~ member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X6)
| X5 = X6
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)
| member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X6)
| X5 = X6
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_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)],[p1])])])])])])]) ).
cnf(c_0_54,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_17])]) ).
cnf(c_0_55,negated_conjecture,
relation_like(esk4_0),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_56,plain,
( relation_like(restrict(X1,X2))
| ~ ilf_type(X1,relation_type(X3,X4)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_58,negated_conjecture,
( member(X1,restrict(X2,esk3_0))
| ~ relation_like(X3)
| ~ member(X1,esk4_0)
| ~ member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,plain,
( subset(X1,X2)
| member(esk5_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_17]),c_0_17])]) ).
cnf(c_0_60,plain,
( X1 = X2
| member(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X2)
| member(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_61,negated_conjecture,
ilf_type(esk4_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
relation_like(restrict(esk4_0,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_27]) ).
cnf(c_0_63,plain,
( subset(X1,X2)
| ~ member(esk5_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_17]),c_0_17])]) ).
cnf(c_0_64,negated_conjecture,
( subset(X1,X2)
| member(esk5_2(X1,X2),restrict(X3,esk3_0))
| ~ relation_like(X1)
| ~ member(esk5_2(X1,X2),esk4_0)
| ~ member(esk5_2(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
( member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X2,X3),restrict(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_66,negated_conjecture,
( X1 = esk4_0
| member(ordered_pair(esk7_2(X1,esk4_0),esk8_2(X1,esk4_0)),esk4_0)
| member(ordered_pair(esk7_2(X1,esk4_0),esk8_2(X1,esk4_0)),X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
ilf_type(restrict(esk4_0,X1),binary_relation_type),
inference(spm,[status(thm)],[c_0_54,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( subset(X1,restrict(X2,esk3_0))
| ~ relation_like(X1)
| ~ member(esk5_2(X1,restrict(X2,esk3_0)),esk4_0)
| ~ member(esk5_2(X1,restrict(X2,esk3_0)),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
( member(ordered_pair(X1,X2),X3)
| ~ member(ordered_pair(X1,X2),restrict(X3,X4))
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_70,negated_conjecture,
( restrict(esk4_0,X1) = esk4_0
| member(ordered_pair(esk7_2(restrict(esk4_0,X1),esk4_0),esk8_2(restrict(esk4_0,X1),esk4_0)),restrict(esk4_0,X1))
| member(ordered_pair(esk7_2(restrict(esk4_0,X1),esk4_0),esk8_2(restrict(esk4_0,X1),esk4_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( subset(esk4_0,restrict(X1,esk3_0))
| ~ member(esk5_2(esk4_0,restrict(X1,esk3_0)),X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_59]),c_0_55])]) ).
cnf(c_0_72,plain,
( X1 = X2
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X2)
| ~ member(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_73,negated_conjecture,
( restrict(esk4_0,X1) = esk4_0
| member(ordered_pair(esk7_2(restrict(esk4_0,X1),esk4_0),esk8_2(restrict(esk4_0,X1),esk4_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_61])]) ).
cnf(c_0_74,negated_conjecture,
subset(esk4_0,restrict(esk4_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_59]),c_0_61])]) ).
cnf(c_0_75,negated_conjecture,
restrict4(esk2_0,esk1_0,esk4_0,esk3_0) != esk4_0,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_76,negated_conjecture,
( restrict(esk4_0,X1) = esk4_0
| ~ member(ordered_pair(esk7_2(restrict(esk4_0,X1),esk4_0),esk8_2(restrict(esk4_0,X1),esk4_0)),restrict(esk4_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_61]),c_0_67])]) ).
cnf(c_0_77,negated_conjecture,
( member(X1,restrict(esk4_0,esk3_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
restrict(esk4_0,esk3_0) != esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_43]),c_0_27])]) ).
cnf(c_0_79,negated_conjecture,
~ member(ordered_pair(esk7_2(restrict(esk4_0,esk3_0),esk4_0),esk8_2(restrict(esk4_0,esk3_0),esk4_0)),esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_73]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET671+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 20:50:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.018 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 81
% 0.23/1.41 # Proof object clause steps : 56
% 0.23/1.41 # Proof object formula steps : 25
% 0.23/1.41 # Proof object conjectures : 27
% 0.23/1.41 # Proof object clause conjectures : 24
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 18
% 0.23/1.41 # Proof object initial formulas used : 12
% 0.23/1.41 # Proof object generating inferences : 25
% 0.23/1.41 # Proof object simplifying inferences : 56
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 28
% 0.23/1.41 # Removed by relevancy pruning/SinE : 4
% 0.23/1.41 # Initial clauses : 51
% 0.23/1.41 # Removed in clause preprocessing : 5
% 0.23/1.41 # Initial clauses in saturation : 46
% 0.23/1.41 # Processed clauses : 3411
% 0.23/1.41 # ...of these trivial : 18
% 0.23/1.41 # ...subsumed : 2146
% 0.23/1.41 # ...remaining for further processing : 1247
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 111
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 18120
% 0.23/1.41 # ...of the previous two non-trivial : 17407
% 0.23/1.41 # Contextual simplify-reflections : 3846
% 0.23/1.41 # Paramodulations : 18115
% 0.23/1.41 # Factorizations : 4
% 0.23/1.41 # Equation resolutions : 1
% 0.23/1.41 # Current number of processed clauses : 1136
% 0.23/1.41 # Positive orientable unit clauses : 54
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 3
% 0.23/1.41 # Non-unit-clauses : 1079
% 0.23/1.41 # Current number of unprocessed clauses: 13230
% 0.23/1.41 # ...number of literals in the above : 85458
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 111
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 426090
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 115850
% 0.23/1.41 # Non-unit clause-clause subsumptions : 6103
% 0.23/1.41 # Unit Clause-clause subsumption calls : 7
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 432
% 0.23/1.41 # BW rewrite match successes : 0
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 518618
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.640 s
% 0.23/1.41 # System time : 0.013 s
% 0.23/1.41 # Total time : 0.653 s
% 0.23/1.41 # Maximum resident set size: 19984 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------