TSTP Solution File: SET656+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET656+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:52:56 EDT 2022
% Result : Theorem 0.29s 13.48s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 139 ( 27 unt; 0 def)
% Number of atoms : 472 ( 35 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 577 ( 244 ~; 262 |; 31 &)
% ( 8 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 246 ( 30 sgn 60 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p21,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.mepo_128.in',p21) ).
fof(p30,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p30) ).
fof(p13,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.mepo_128.in',p13) ).
fof(p20,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.mepo_128.in',p20) ).
fof(p6,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',p6) ).
fof(prove_relset_1_18,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> intersection(X3,cross_product(X1,X2)) = X3 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_relset_1_18) ).
fof(p4,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p4) ).
fof(p23,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( 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',p23) ).
fof(p26,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p26) ).
fof(p19,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.mepo_128.in',p19) ).
fof(p9,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> intersection(X1,X2) = intersection(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p9) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,cross_product(X1,X2))
<=> ? [X4] :
( ilf_type(X4,set_type)
& ? [X5] :
( ilf_type(X5,set_type)
& member(X4,X1)
& member(X5,X2)
& X3 = ordered_pair(X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p2) ).
fof(c_0_12,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)],[p21])])])])])])]) ).
fof(c_0_13,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[p30]) ).
fof(c_0_14,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)],[p13])])])])])]) ).
fof(c_0_15,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)],[p20])])])]) ).
fof(c_0_16,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)],[p6])])])])])]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> intersection(X3,cross_product(X1,X2)) = X3 ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_18]) ).
cnf(c_0_18,plain,
( empty(X2)
| member(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,subset_type(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,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_16]) ).
fof(c_0_23,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,relation_type(esk1_0,esk2_0))
& intersection(esk3_0,cross_product(esk1_0,esk2_0)) != esk3_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_17])])])])]) ).
fof(c_0_24,plain,
! [X4,X5,X6] :
( ( member(X6,X4)
| ~ member(X6,intersection(X4,X5))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(X6,X5)
| ~ member(X6,intersection(X4,X5))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(X6,X4)
| ~ member(X6,X5)
| member(X6,intersection(X4,X5))
| ~ ilf_type(X6,set_type)
| ~ 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)],[p4])])])])])]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ ilf_type(X6,set_type)
| X4 != X5
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(X6,X5)
| member(X6,X4)
| ~ ilf_type(X6,set_type)
| X4 != X5
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ilf_type(esk7_2(X4,X5),set_type)
| X4 = X5
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk7_2(X4,X5),X4)
| ~ member(esk7_2(X4,X5),X5)
| X4 = X5
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk7_2(X4,X5),X4)
| member(esk7_2(X4,X5),X5)
| 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)],[p23])])])])])])]) ).
fof(c_0_26,plain,
! [X3,X4] :
( ( ~ empty(X3)
| ~ ilf_type(X4,set_type)
| ~ member(X4,X3)
| ~ ilf_type(X3,set_type) )
& ( ilf_type(esk17_1(X3),set_type)
| empty(X3)
| ~ ilf_type(X3,set_type) )
& ( member(esk17_1(X3),X3)
| empty(X3)
| ~ ilf_type(X3,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)],[inference(fof_simplification,[status(thm)],[p26])])])])])])])]) ).
fof(c_0_27,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(esk16_2(X4,X5),set_type)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk16_2(X4,X5),X4)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk16_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)],[p19])])])])])])]) ).
cnf(c_0_28,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X2,member_type(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19])]) ).
cnf(c_0_29,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_19]),c_0_19])]) ).
cnf(c_0_30,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_19])]) ).
cnf(c_0_31,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_22,c_0_19]),c_0_19])]) ).
cnf(c_0_32,negated_conjecture,
ilf_type(esk3_0,relation_type(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( member(X3,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,intersection(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( X1 = X2
| member(esk7_2(X1,X2),X2)
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_38,negated_conjecture,
ilf_type(esk3_0,subset_type(cross_product(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_19]),c_0_19]),c_0_19])]) ).
cnf(c_0_40,plain,
( X1 = X2
| member(esk7_2(X1,X2),X1)
| member(esk7_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_19]),c_0_19])]) ).
cnf(c_0_41,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_12]) ).
cnf(c_0_42,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_19]),c_0_19])]) ).
cnf(c_0_43,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_19]),c_0_19]),c_0_19])]) ).
cnf(c_0_44,negated_conjecture,
member(esk3_0,power_set(cross_product(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
( X1 = intersection(X2,X3)
| member(esk7_2(X1,intersection(X2,X3)),X1)
| member(esk7_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_46,plain,
! [X3,X4] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| intersection(X3,X4) = intersection(X4,X3) ),
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)],[p9])])])])]) ).
cnf(c_0_47,plain,
( X1 = X2
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk7_2(X1,X2),X2)
| ~ member(esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_48,plain,
( ilf_type(X1,member_type(X2))
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_19]),c_0_19])]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( member(X1,cross_product(esk1_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
( empty(X1)
| member(esk17_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_51,plain,
( intersection(X1,X2) = X1
| member(esk7_2(X1,intersection(X1,X2)),X1) ),
inference(ef,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( intersection(X1,X2) = intersection(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
( X1 = X2
| ~ member(esk7_2(X1,X2),X2)
| ~ member(esk7_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_19]),c_0_19])]) ).
cnf(c_0_54,plain,
( member(X3,intersection(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_55,negated_conjecture,
( ilf_type(X1,member_type(cross_product(esk1_0,esk2_0)))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
( empty(X1)
| member(esk17_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_19])]) ).
cnf(c_0_57,negated_conjecture,
intersection(esk3_0,cross_product(esk1_0,esk2_0)) != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_58,plain,
( intersection(X1,X2) = X1
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_51]) ).
cnf(c_0_59,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_19]),c_0_19])]) ).
cnf(c_0_60,negated_conjecture,
( X1 = cross_product(esk1_0,esk2_0)
| ~ member(esk7_2(X1,cross_product(esk1_0,esk2_0)),esk3_0)
| ~ member(esk7_2(X1,cross_product(esk1_0,esk2_0)),X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
cnf(c_0_61,plain,
( X1 = X2
| member(esk7_2(X1,X2),X1)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
cnf(c_0_62,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_19]),c_0_19]),c_0_19])]) ).
cnf(c_0_63,negated_conjecture,
( empty(esk3_0)
| ilf_type(esk17_1(esk3_0),member_type(cross_product(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
~ empty(esk3_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
( intersection(X1,X2) = X2
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( cross_product(esk1_0,esk2_0) = esk3_0
| ~ empty(cross_product(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_61]) ).
cnf(c_0_67,plain,
( ilf_type(X1,member_type(intersection(X2,X3)))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
ilf_type(esk17_1(esk3_0),member_type(cross_product(esk1_0,esk2_0))),
inference(sr,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,negated_conjecture,
~ empty(cross_product(esk1_0,esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_65]),c_0_66]) ).
cnf(c_0_70,plain,
( empty(X1)
| ilf_type(esk17_1(X1),member_type(intersection(X2,X1)))
| ~ member(esk17_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_56]) ).
cnf(c_0_71,negated_conjecture,
member(esk17_1(esk3_0),cross_product(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_68]),c_0_69]) ).
cnf(c_0_72,negated_conjecture,
ilf_type(esk17_1(esk3_0),member_type(intersection(esk3_0,cross_product(esk1_0,esk2_0)))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_59]),c_0_64]) ).
cnf(c_0_73,plain,
( empty(X1)
| ilf_type(esk17_1(X1),member_type(X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_56]) ).
cnf(c_0_74,negated_conjecture,
ilf_type(esk17_1(esk3_0),member_type(esk3_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_58]),c_0_73]) ).
cnf(c_0_75,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk16_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_76,plain,
( member(X1,power_set(X2))
| member(esk16_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_77,plain,
! [X6,X7,X8,X11,X12] :
( ( ilf_type(esk4_3(X6,X7,X8),set_type)
| ~ member(X8,cross_product(X6,X7))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( ilf_type(esk5_3(X6,X7,X8),set_type)
| ~ member(X8,cross_product(X6,X7))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( member(esk4_3(X6,X7,X8),X6)
| ~ member(X8,cross_product(X6,X7))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( member(esk5_3(X6,X7,X8),X7)
| ~ member(X8,cross_product(X6,X7))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( X8 = ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8))
| ~ member(X8,cross_product(X6,X7))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( ~ ilf_type(X11,set_type)
| ~ ilf_type(X12,set_type)
| ~ member(X11,X6)
| ~ member(X12,X7)
| X8 != ordered_pair(X11,X12)
| member(X8,cross_product(X6,X7))
| ~ 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(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])])])])]) ).
cnf(c_0_78,negated_conjecture,
member(esk17_1(esk3_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_74]),c_0_64]) ).
cnf(c_0_79,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,intersection(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_80,plain,
( member(X1,power_set(X2))
| ~ member(esk16_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_19]),c_0_19])]) ).
cnf(c_0_81,plain,
( member(esk16_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_19]),c_0_19])]) ).
cnf(c_0_82,plain,
( member(esk4_3(X1,X2,X3),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,cross_product(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_83,negated_conjecture,
ilf_type(esk17_1(esk3_0),member_type(intersection(esk3_0,esk3_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_78]),c_0_64]) ).
cnf(c_0_84,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_19]),c_0_19]),c_0_19])]) ).
cnf(c_0_85,plain,
( member(X1,power_set(intersection(X2,X3)))
| ~ member(esk16_2(X1,intersection(X2,X3)),X3)
| ~ member(esk16_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_62]) ).
cnf(c_0_86,plain,
( member(esk16_2(intersection(X1,X2),X3),X1)
| member(intersection(X1,X2),power_set(X3)) ),
inference(spm,[status(thm)],[c_0_39,c_0_81]) ).
cnf(c_0_87,plain,
( member(esk4_3(X1,X2,X3),X1)
| ~ member(X3,cross_product(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_19]),c_0_19]),c_0_19])]) ).
cnf(c_0_88,plain,
( member(X3,cross_product(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| X3 != ordered_pair(X4,X5)
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,negated_conjecture,
( empty(intersection(esk3_0,esk3_0))
| member(esk17_1(esk3_0),intersection(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_83]) ).
cnf(c_0_90,plain,
( empty(intersection(X1,X2))
| member(esk17_1(intersection(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_56]) ).
cnf(c_0_91,plain,
( member(intersection(X1,X2),power_set(intersection(X3,X1)))
| ~ member(esk16_2(intersection(X1,X2),intersection(X3,X1)),X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
( empty(intersection(X1,X2))
| member(esk17_1(intersection(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_56]) ).
cnf(c_0_93,plain,
( member(esk4_3(intersection(X1,X2),X3,X4),X1)
| ~ member(X4,cross_product(intersection(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_39,c_0_87]) ).
cnf(c_0_94,plain,
( member(X1,cross_product(X2,X3))
| X1 != ordered_pair(X4,X5)
| ~ member(X5,X3)
| ~ member(X4,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19])]) ).
cnf(c_0_95,negated_conjecture,
( empty(intersection(esk3_0,esk3_0))
| ilf_type(esk17_1(esk3_0),member_type(intersection(esk3_0,intersection(esk3_0,esk3_0)))) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_89]),c_0_64]),c_0_59]) ).
cnf(c_0_96,plain,
( empty(intersection(X1,X2))
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_90]) ).
cnf(c_0_97,plain,
member(intersection(X1,X2),power_set(intersection(X1,X1))),
inference(spm,[status(thm)],[c_0_91,c_0_86]) ).
cnf(c_0_98,plain,
( member(X1,power_set(X2))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_81]) ).
cnf(c_0_99,plain,
( empty(intersection(X1,X2))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_92]) ).
cnf(c_0_100,plain,
( ~ empty(X1)
| ~ member(X2,cross_product(intersection(X1,X3),X4)) ),
inference(spm,[status(thm)],[c_0_42,c_0_93]) ).
cnf(c_0_101,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_102,negated_conjecture,
( empty(intersection(esk3_0,intersection(esk3_0,esk3_0)))
| member(esk17_1(esk3_0),intersection(esk3_0,intersection(esk3_0,esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_95]),c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( member(X1,power_set(cross_product(esk1_0,esk2_0)))
| ~ member(esk16_2(X1,cross_product(esk1_0,esk2_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_49]) ).
cnf(c_0_104,plain,
( member(X1,intersection(X2,X2))
| ~ member(X1,intersection(X2,X3)) ),
inference(spm,[status(thm)],[c_0_43,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
( empty(intersection(esk3_0,cross_product(esk1_0,esk2_0)))
| member(esk17_1(esk3_0),intersection(esk3_0,cross_product(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_72]) ).
cnf(c_0_106,plain,
( member(intersection(X1,X2),power_set(X3))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_107,plain,
( ~ empty(X1)
| ~ member(X2,intersection(X1,X3))
| ~ member(X4,X5) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
( empty(intersection(esk3_0,intersection(esk3_0,esk3_0)))
| ilf_type(esk17_1(esk3_0),member_type(intersection(esk3_0,intersection(esk3_0,intersection(esk3_0,esk3_0))))) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_102]),c_0_64]),c_0_59]) ).
cnf(c_0_109,negated_conjecture,
member(intersection(esk3_0,X1),power_set(cross_product(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_103,c_0_86]) ).
cnf(c_0_110,negated_conjecture,
( empty(intersection(esk3_0,cross_product(esk1_0,esk2_0)))
| member(esk17_1(esk3_0),intersection(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,plain,
( ~ empty(X1)
| ~ member(X2,intersection(X1,X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_106]),c_0_107]) ).
cnf(c_0_112,negated_conjecture,
( empty(intersection(esk3_0,intersection(esk3_0,intersection(esk3_0,esk3_0))))
| member(esk17_1(esk3_0),intersection(esk3_0,intersection(esk3_0,intersection(esk3_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_108]),c_0_96]) ).
cnf(c_0_113,negated_conjecture,
( member(X1,cross_product(esk1_0,esk2_0))
| ~ member(X1,intersection(esk3_0,X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_109]) ).
cnf(c_0_114,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_61]) ).
cnf(c_0_115,negated_conjecture,
( empty(intersection(esk3_0,cross_product(esk1_0,esk2_0)))
| ~ empty(intersection(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_110]) ).
cnf(c_0_116,plain,
( ~ empty(X1)
| ~ member(X2,intersection(X3,X1)) ),
inference(spm,[status(thm)],[c_0_111,c_0_59]) ).
cnf(c_0_117,negated_conjecture,
( empty(intersection(esk3_0,intersection(esk3_0,intersection(esk3_0,esk3_0))))
| member(esk17_1(esk3_0),intersection(esk3_0,intersection(esk3_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_84,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( member(esk16_2(intersection(esk3_0,X1),X2),cross_product(esk1_0,esk2_0))
| member(intersection(esk3_0,X1),power_set(X2)) ),
inference(spm,[status(thm)],[c_0_113,c_0_81]) ).
cnf(c_0_119,plain,
( member(X1,power_set(intersection(X2,X1)))
| ~ member(esk16_2(X1,intersection(X2,X1)),X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_81]) ).
cnf(c_0_120,negated_conjecture,
( intersection(esk3_0,cross_product(esk1_0,esk2_0)) = X1
| ~ empty(intersection(esk3_0,esk3_0))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,negated_conjecture,
( empty(intersection(esk3_0,intersection(esk3_0,intersection(esk3_0,esk3_0))))
| ~ empty(intersection(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_122,plain,
( ~ empty(intersection(X1,X2))
| ~ member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_62]) ).
cnf(c_0_123,negated_conjecture,
member(intersection(esk3_0,X1),power_set(intersection(esk3_0,cross_product(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_118]),c_0_59]) ).
cnf(c_0_124,plain,
member(X1,power_set(intersection(X1,X1))),
inference(spm,[status(thm)],[c_0_119,c_0_81]) ).
cnf(c_0_125,negated_conjecture,
( intersection(esk3_0,intersection(esk3_0,intersection(esk3_0,esk3_0))) = intersection(esk3_0,cross_product(esk1_0,esk2_0))
| ~ empty(intersection(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_126,negated_conjecture,
( ~ empty(intersection(esk3_0,esk3_0))
| ~ member(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_115]),c_0_49]) ).
cnf(c_0_127,negated_conjecture,
( member(X1,intersection(esk3_0,cross_product(esk1_0,esk2_0)))
| ~ member(X1,intersection(esk3_0,X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_123]) ).
cnf(c_0_128,plain,
( member(X1,intersection(X2,X2))
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_124]) ).
cnf(c_0_129,negated_conjecture,
~ empty(intersection(esk3_0,esk3_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_125]),c_0_57]),c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( member(X1,intersection(esk3_0,cross_product(esk1_0,esk2_0)))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_131,negated_conjecture,
member(esk17_1(esk3_0),intersection(esk3_0,esk3_0)),
inference(sr,[status(thm)],[c_0_89,c_0_129]) ).
cnf(c_0_132,negated_conjecture,
( ilf_type(X1,member_type(intersection(esk3_0,cross_product(esk1_0,esk2_0))))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_130]) ).
cnf(c_0_133,negated_conjecture,
member(esk17_1(esk3_0),intersection(esk3_0,cross_product(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_127,c_0_131]) ).
cnf(c_0_134,negated_conjecture,
( intersection(esk3_0,X1) = esk3_0
| ilf_type(esk7_2(esk3_0,intersection(esk3_0,X1)),member_type(intersection(esk3_0,cross_product(esk1_0,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_132,c_0_51]) ).
cnf(c_0_135,negated_conjecture,
~ empty(intersection(esk3_0,cross_product(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_42,c_0_133]) ).
cnf(c_0_136,negated_conjecture,
( intersection(esk3_0,X1) = esk3_0
| member(esk7_2(esk3_0,intersection(esk3_0,X1)),intersection(esk3_0,cross_product(esk1_0,esk2_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_134]),c_0_135]) ).
cnf(c_0_137,negated_conjecture,
~ member(esk7_2(esk3_0,intersection(esk3_0,cross_product(esk1_0,esk2_0))),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_136]),c_0_57]) ).
cnf(c_0_138,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_51]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET656+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 20:52:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.29/13.48 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.29/13.48 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.29/13.48 # Preprocessing time : 0.020 s
% 0.29/13.48
% 0.29/13.48 # Proof found!
% 0.29/13.48 # SZS status Theorem
% 0.29/13.48 # SZS output start CNFRefutation
% See solution above
% 0.29/13.48 # Proof object total steps : 139
% 0.29/13.48 # Proof object clause steps : 114
% 0.29/13.48 # Proof object formula steps : 25
% 0.29/13.48 # Proof object conjectures : 49
% 0.29/13.48 # Proof object clause conjectures : 46
% 0.29/13.48 # Proof object formula conjectures : 3
% 0.29/13.48 # Proof object initial clauses used : 21
% 0.29/13.48 # Proof object initial formulas used : 12
% 0.29/13.48 # Proof object generating inferences : 73
% 0.29/13.48 # Proof object simplifying inferences : 86
% 0.29/13.48 # Training examples: 0 positive, 0 negative
% 0.29/13.48 # Parsed axioms : 31
% 0.29/13.48 # Removed by relevancy pruning/SinE : 5
% 0.29/13.48 # Initial clauses : 61
% 0.29/13.48 # Removed in clause preprocessing : 7
% 0.29/13.48 # Initial clauses in saturation : 54
% 0.29/13.48 # Processed clauses : 16951
% 0.29/13.48 # ...of these trivial : 542
% 0.29/13.48 # ...subsumed : 12796
% 0.29/13.48 # ...remaining for further processing : 3613
% 0.29/13.48 # Other redundant clauses eliminated : 2
% 0.29/13.48 # Clauses deleted for lack of memory : 431754
% 0.29/13.48 # Backward-subsumed : 126
% 0.29/13.48 # Backward-rewritten : 33
% 0.29/13.48 # Generated clauses : 611564
% 0.29/13.48 # ...of the previous two non-trivial : 591764
% 0.29/13.48 # Contextual simplify-reflections : 5648
% 0.29/13.48 # Paramodulations : 611042
% 0.29/13.48 # Factorizations : 468
% 0.29/13.48 # Equation resolutions : 14
% 0.29/13.48 # Current number of processed clauses : 3414
% 0.29/13.48 # Positive orientable unit clauses : 260
% 0.29/13.48 # Positive unorientable unit clauses: 1
% 0.29/13.48 # Negative unit clauses : 11
% 0.29/13.48 # Non-unit-clauses : 3142
% 0.29/13.48 # Current number of unprocessed clauses: 128521
% 0.29/13.48 # ...number of literals in the above : 424954
% 0.29/13.48 # Current number of archived formulas : 0
% 0.29/13.48 # Current number of archived clauses : 199
% 0.29/13.48 # Clause-clause subsumption calls (NU) : 1417152
% 0.29/13.48 # Rec. Clause-clause subsumption calls : 1157323
% 0.29/13.48 # Non-unit clause-clause subsumptions : 13038
% 0.29/13.48 # Unit Clause-clause subsumption calls : 25639
% 0.29/13.48 # Rewrite failures with RHS unbound : 0
% 0.29/13.48 # BW rewrite match attempts : 1435
% 0.29/13.48 # BW rewrite match successes : 52
% 0.29/13.48 # Condensation attempts : 0
% 0.29/13.48 # Condensation successes : 0
% 0.29/13.48 # Termbank termtop insertions : 12909939
% 0.29/13.48
% 0.29/13.48 # -------------------------------------------------
% 0.29/13.48 # User time : 12.211 s
% 0.29/13.48 # System time : 0.126 s
% 0.29/13.48 # Total time : 12.337 s
% 0.29/13.48 # Maximum resident set size: 139348 pages
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------