TSTP Solution File: SET684+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:20:15 EDT 2023
% Result : Theorem 0.95s 0.64s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 114 ( 18 unt; 0 def)
% Number of atoms : 485 ( 4 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 641 ( 270 ~; 261 |; 47 &)
% ( 10 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-5 aty)
% Number of variables : 254 ( 17 sgn; 87 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7,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/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p7) ).
fof(p23,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p23) ).
fof(p29,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p29) ).
fof(p17,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/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p17) ).
fof(p9,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p9) ).
fof(p22,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/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p22) ).
fof(p5,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/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p5) ).
fof(p26,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/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p26) ).
fof(prove_relset_1_51,conjecture,
! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ( ~ empty(X3)
& ilf_type(X3,set_type) )
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ! [X5] :
( ilf_type(X5,relation_type(X2,X3))
=> ! [X6] :
( ilf_type(X6,member_type(X1))
=> ! [X7] :
( ilf_type(X7,member_type(X3))
=> ( member(ordered_pair(X6,X7),compose5(X1,X2,X3,X4,X5))
<=> ? [X8] :
( ilf_type(X8,member_type(X2))
& member(ordered_pair(X6,X8),X4)
& member(ordered_pair(X8,X7),X5) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',prove_relset_1_51) ).
fof(p15,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/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p15) ).
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,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/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p2) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,binary_relation_type)
=> ! [X4] :
( ilf_type(X4,binary_relation_type)
=> ( member(ordered_pair(X1,X2),compose(X3,X4))
<=> ? [X5] :
( ilf_type(X5,set_type)
& member(ordered_pair(X1,X5),X3)
& member(ordered_pair(X5,X2),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p1) ).
fof(p27,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ! [X5] :
( ilf_type(X5,relation_type(X2,X3))
=> compose5(X1,X2,X3,X4,X5) = compose(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d7pmO3inZb/E---3.1_30252.p',p27) ).
fof(c_0_13,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[p7]) ).
fof(c_0_14,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
inference(fof_simplification,[status(thm)],[p23]) ).
fof(c_0_15,plain,
! [X34,X35] :
( ( ~ ilf_type(X34,member_type(X35))
| member(X34,X35)
| empty(X35)
| ~ ilf_type(X35,set_type)
| ~ ilf_type(X34,set_type) )
& ( ~ member(X34,X35)
| ilf_type(X34,member_type(X35))
| empty(X35)
| ~ ilf_type(X35,set_type)
| ~ ilf_type(X34,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_16,plain,
! [X89] : ilf_type(X89,set_type),
inference(variable_rename,[status(thm)],[p29]) ).
fof(c_0_17,plain,
! [X52,X53] :
( ( ~ ilf_type(X53,subset_type(X52))
| ilf_type(X53,member_type(power_set(X52)))
| ~ ilf_type(X53,set_type)
| ~ ilf_type(X52,set_type) )
& ( ~ ilf_type(X53,member_type(power_set(X52)))
| ilf_type(X53,subset_type(X52))
| ~ ilf_type(X53,set_type)
| ~ ilf_type(X52,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p17])])])]) ).
fof(c_0_18,plain,
! [X67] :
( ( ~ empty(power_set(X67))
| ~ ilf_type(X67,set_type) )
& ( ilf_type(power_set(X67),set_type)
| ~ ilf_type(X67,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_19,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[p9]) ).
fof(c_0_20,plain,
! [X63,X64,X65] :
( ( ~ member(X63,power_set(X64))
| ~ ilf_type(X65,set_type)
| ~ member(X65,X63)
| member(X65,X64)
| ~ ilf_type(X64,set_type)
| ~ ilf_type(X63,set_type) )
& ( ilf_type(esk8_2(X63,X64),set_type)
| member(X63,power_set(X64))
| ~ ilf_type(X64,set_type)
| ~ ilf_type(X63,set_type) )
& ( member(esk8_2(X63,X64),X63)
| member(X63,power_set(X64))
| ~ ilf_type(X64,set_type)
| ~ ilf_type(X63,set_type) )
& ( ~ member(esk8_2(X63,X64),X64)
| member(X63,power_set(X64))
| ~ ilf_type(X64,set_type)
| ~ ilf_type(X63,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p22])])])])]) ).
cnf(c_0_21,plain,
( member(X1,X2)
| empty(X2)
| ~ ilf_type(X1,member_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X1,subset_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X38,X39] :
( ( ~ empty(X38)
| ~ ilf_type(X39,set_type)
| ~ member(X39,X38)
| ~ ilf_type(X38,set_type) )
& ( ilf_type(esk4_1(X38),set_type)
| empty(X38)
| ~ ilf_type(X38,set_type) )
& ( member(esk4_1(X38),X38)
| empty(X38)
| ~ ilf_type(X38,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).
cnf(c_0_26,plain,
( member(X3,X2)
| ~ member(X1,power_set(X2))
| ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,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_21,c_0_22]),c_0_22])]) ).
cnf(c_0_28,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_23,c_0_22]),c_0_22])]) ).
cnf(c_0_29,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_22])]) ).
fof(c_0_30,plain,
! [X27,X28,X29,X30] :
( ( ~ ilf_type(X29,subset_type(cross_product(X27,X28)))
| ilf_type(X29,relation_type(X27,X28))
| ~ ilf_type(X28,set_type)
| ~ ilf_type(X27,set_type) )
& ( ~ ilf_type(X30,relation_type(X27,X28))
| ilf_type(X30,subset_type(cross_product(X27,X28)))
| ~ ilf_type(X28,set_type)
| ~ ilf_type(X27,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p5])])])]) ).
cnf(c_0_31,plain,
( ~ empty(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_32,plain,
! [X76,X77,X78] :
( ~ ilf_type(X76,set_type)
| ~ ilf_type(X77,set_type)
| ~ ilf_type(X78,subset_type(cross_product(X76,X77)))
| relation_like(X78) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p26])])]) ).
cnf(c_0_33,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_26,c_0_22]),c_0_22]),c_0_22])]) ).
cnf(c_0_34,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_35,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ( ~ empty(X3)
& ilf_type(X3,set_type) )
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ! [X5] :
( ilf_type(X5,relation_type(X2,X3))
=> ! [X6] :
( ilf_type(X6,member_type(X1))
=> ! [X7] :
( ilf_type(X7,member_type(X3))
=> ( member(ordered_pair(X6,X7),compose5(X1,X2,X3,X4,X5))
<=> ? [X8] :
( ilf_type(X8,member_type(X2))
& member(ordered_pair(X6,X8),X4)
& member(ordered_pair(X8,X7),X5) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_relset_1_51])]) ).
cnf(c_0_37,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_38,plain,
( ilf_type(X1,member_type(X2))
| empty(X2)
| ~ member(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_22]),c_0_22])]) ).
cnf(c_0_40,plain,
( member(X1,power_set(X2))
| ~ member(esk8_2(X1,X2),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_41,plain,
( member(esk8_2(X1,X2),X1)
| member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_42,plain,
! [X50] :
( ( relation_like(X50)
| ~ ilf_type(X50,binary_relation_type)
| ~ ilf_type(X50,set_type) )
& ( ilf_type(X50,set_type)
| ~ ilf_type(X50,binary_relation_type)
| ~ ilf_type(X50,set_type) )
& ( ~ relation_like(X50)
| ~ ilf_type(X50,set_type)
| ilf_type(X50,binary_relation_type)
| ~ ilf_type(X50,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])]) ).
cnf(c_0_43,plain,
( relation_like(X3)
| ~ 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_32]) ).
fof(c_0_44,plain,
! [X15,X16,X17,X18,X19] :
( ( member(X17,X15)
| ~ member(ordered_pair(X17,X18),X19)
| ~ ilf_type(X19,relation_type(X15,X16))
| ~ ilf_type(X18,set_type)
| ~ ilf_type(X17,set_type)
| ~ ilf_type(X16,set_type)
| ~ ilf_type(X15,set_type) )
& ( member(X18,X16)
| ~ member(ordered_pair(X17,X18),X19)
| ~ ilf_type(X19,relation_type(X15,X16))
| ~ ilf_type(X18,set_type)
| ~ ilf_type(X17,set_type)
| ~ ilf_type(X16,set_type)
| ~ ilf_type(X15,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])]) ).
cnf(c_0_45,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_46,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_35,c_0_22]),c_0_22])]) ).
fof(c_0_47,negated_conjecture,
! [X97] :
( ~ empty(esk12_0)
& ilf_type(esk12_0,set_type)
& ~ empty(esk13_0)
& ilf_type(esk13_0,set_type)
& ~ empty(esk14_0)
& ilf_type(esk14_0,set_type)
& ilf_type(esk15_0,relation_type(esk12_0,esk13_0))
& ilf_type(esk16_0,relation_type(esk13_0,esk14_0))
& ilf_type(esk17_0,member_type(esk12_0))
& ilf_type(esk18_0,member_type(esk14_0))
& ( ~ member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0))
| ~ ilf_type(X97,member_type(esk13_0))
| ~ member(ordered_pair(esk17_0,X97),esk15_0)
| ~ member(ordered_pair(X97,esk18_0),esk16_0) )
& ( ilf_type(esk19_0,member_type(esk13_0))
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) )
& ( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) )
& ( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])]) ).
cnf(c_0_48,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_37,c_0_22]),c_0_22])]) ).
cnf(c_0_49,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_38,c_0_22]),c_0_22])]),c_0_39]) ).
cnf(c_0_50,plain,
( member(X1,power_set(X2))
| ~ member(esk8_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_22]),c_0_22])]) ).
cnf(c_0_51,plain,
( member(esk8_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_22]),c_0_22])]) ).
cnf(c_0_52,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,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_43,c_0_22]),c_0_22])]) ).
cnf(c_0_54,plain,
( member(X1,X2)
| ~ member(ordered_pair(X3,X1),X4)
| ~ ilf_type(X4,relation_type(X5,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X5,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,plain,
( member(X1,cross_product(X2,X3))
| ~ member(X1,X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
ilf_type(esk15_0,relation_type(esk12_0,esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ 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_30]) ).
cnf(c_0_58,plain,
( ilf_type(X1,subset_type(X2))
| ~ member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_59,plain,
member(X1,power_set(X1)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,negated_conjecture,
( ~ member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0))
| ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),esk16_0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_61,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_62,plain,
! [X9,X10,X11,X12,X14] :
( ( ilf_type(esk1_4(X9,X10,X11,X12),set_type)
| ~ member(ordered_pair(X9,X10),compose(X11,X12))
| ~ ilf_type(X12,binary_relation_type)
| ~ ilf_type(X11,binary_relation_type)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X9,set_type) )
& ( member(ordered_pair(X9,esk1_4(X9,X10,X11,X12)),X11)
| ~ member(ordered_pair(X9,X10),compose(X11,X12))
| ~ ilf_type(X12,binary_relation_type)
| ~ ilf_type(X11,binary_relation_type)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X9,set_type) )
& ( member(ordered_pair(esk1_4(X9,X10,X11,X12),X10),X12)
| ~ member(ordered_pair(X9,X10),compose(X11,X12))
| ~ ilf_type(X12,binary_relation_type)
| ~ ilf_type(X11,binary_relation_type)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X9,set_type) )
& ( ~ ilf_type(X14,set_type)
| ~ member(ordered_pair(X9,X14),X11)
| ~ member(ordered_pair(X14,X10),X12)
| member(ordered_pair(X9,X10),compose(X11,X12))
| ~ ilf_type(X12,binary_relation_type)
| ~ ilf_type(X11,binary_relation_type)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X9,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])]) ).
cnf(c_0_63,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_52]) ).
cnf(c_0_64,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_46]) ).
cnf(c_0_65,negated_conjecture,
ilf_type(esk16_0,relation_type(esk13_0,esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,plain,
( member(X1,X2)
| ~ member(ordered_pair(X3,X1),X4)
| ~ ilf_type(X4,relation_type(X5,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_22]),c_0_22]),c_0_22]),c_0_22])]) ).
cnf(c_0_67,negated_conjecture,
( member(X1,cross_product(esk12_0,esk13_0))
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_68,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_57,c_0_22]),c_0_22])]) ).
cnf(c_0_69,plain,
ilf_type(X1,subset_type(X1)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_70,plain,
! [X79,X80,X81,X82,X83] :
( ~ ilf_type(X79,set_type)
| ~ ilf_type(X80,set_type)
| ~ ilf_type(X81,set_type)
| ~ ilf_type(X82,relation_type(X79,X80))
| ~ ilf_type(X83,relation_type(X80,X81))
| compose5(X79,X80,X81,X82,X83) = compose(X82,X83) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p27])])]) ).
cnf(c_0_71,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_72,plain,
( member(ordered_pair(esk1_4(X1,X2,X3,X4),X2),X4)
| ~ member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_73,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_22])]) ).
cnf(c_0_74,negated_conjecture,
relation_like(esk16_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( member(X1,X2)
| ~ member(ordered_pair(X3,X1),esk15_0)
| ~ ilf_type(cross_product(esk12_0,esk13_0),relation_type(X4,X2)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,plain,
ilf_type(cross_product(X1,X2),relation_type(X1,X2)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,plain,
( compose5(X1,X2,X3,X4,X5) = compose(X4,X5)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X5,relation_type(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_78,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ member(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_49]) ).
cnf(c_0_79,plain,
( member(ordered_pair(esk1_4(X1,X2,X3,X4),X2),X4)
| ~ member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_22]),c_0_22])]) ).
cnf(c_0_80,negated_conjecture,
ilf_type(esk16_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( member(X1,esk13_0)
| ~ member(ordered_pair(X2,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,X3,X4)),X3)
| ~ member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_83,negated_conjecture,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_64,c_0_56]) ).
cnf(c_0_84,plain,
( compose5(X1,X2,X3,X4,X5) = compose(X4,X5)
| ~ ilf_type(X5,relation_type(X2,X3))
| ~ ilf_type(X4,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_22]),c_0_22]),c_0_22])]) ).
cnf(c_0_85,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_86,plain,
( member(ordered_pair(X2,X4),compose(X3,X5))
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X2,X1),X3)
| ~ member(ordered_pair(X1,X4),X5)
| ~ ilf_type(X5,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_87,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ~ member(ordered_pair(esk17_0,esk1_4(X1,esk18_0,X2,esk16_0)),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),compose(X2,esk16_0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]),c_0_81]) ).
cnf(c_0_88,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,X3,X4)),X3)
| ~ member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_22]),c_0_22])]) ).
cnf(c_0_89,negated_conjecture,
ilf_type(esk15_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_73,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| member(ordered_pair(esk17_0,esk19_0),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_84]),c_0_65]),c_0_56])]) ).
cnf(c_0_91,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),X4)
| ~ ilf_type(X4,relation_type(X2,X5))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_92,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_85]) ).
cnf(c_0_93,plain,
( member(ordered_pair(X1,X2),compose(X3,X4))
| ~ member(ordered_pair(X1,X5),X3)
| ~ member(ordered_pair(X5,X2),X4)
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_22]),c_0_22]),c_0_22])]) ).
cnf(c_0_94,negated_conjecture,
member(ordered_pair(esk17_0,esk19_0),esk15_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_80])]),c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_96,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_91,c_0_22]),c_0_22]),c_0_22]),c_0_22])]) ).
cnf(c_0_97,negated_conjecture,
( member(X1,cross_product(esk13_0,esk14_0))
| ~ member(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_65]) ).
cnf(c_0_98,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| ~ member(ordered_pair(esk17_0,esk1_4(X1,esk18_0,X2,esk16_0)),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),compose(X2,esk16_0))
| ~ ilf_type(esk1_4(X1,esk18_0,X2,esk16_0),member_type(esk13_0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_79]),c_0_80])]) ).
cnf(c_0_99,negated_conjecture,
( ~ member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_84]),c_0_65]),c_0_56])]) ).
cnf(c_0_100,negated_conjecture,
( member(ordered_pair(esk17_0,X1),compose(esk15_0,X2))
| ~ member(ordered_pair(esk19_0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_89])]) ).
cnf(c_0_101,negated_conjecture,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),esk16_0)
| ~ ilf_type(cross_product(esk13_0,esk14_0),relation_type(X2,X4)) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| ~ member(ordered_pair(esk17_0,esk1_4(X1,esk18_0,X2,esk16_0)),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),compose(X2,esk16_0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_49]),c_0_81]) ).
cnf(c_0_104,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(esk19_0,member_type(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_84]),c_0_65]),c_0_56])]) ).
cnf(c_0_105,negated_conjecture,
( ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_80])]),c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( member(X1,esk13_0)
| ~ member(ordered_pair(X1,X2),esk16_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_76]) ).
cnf(c_0_107,negated_conjecture,
ilf_type(esk19_0,member_type(esk13_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_88]),c_0_89]),c_0_80])]),c_0_104]) ).
cnf(c_0_108,negated_conjecture,
( ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_49]),c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| member(ordered_pair(esk19_0,esk18_0),esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_84]),c_0_65]),c_0_56])]) ).
cnf(c_0_110,negated_conjecture,
~ member(ordered_pair(esk19_0,esk18_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_107]),c_0_94])]) ).
cnf(c_0_111,negated_conjecture,
( ~ member(ordered_pair(esk17_0,esk1_4(X1,esk18_0,X2,esk16_0)),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),compose(X2,esk16_0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_79]),c_0_80])]) ).
cnf(c_0_112,negated_conjecture,
member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0)),
inference(sr,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_88]),c_0_112]),c_0_89]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 17:57:59 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.d7pmO3inZb/E---3.1_30252.p
% 0.95/0.64 # Version: 3.1pre001
% 0.95/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.95/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.95/0.64 # Starting new_bool_3 with 300s (1) cores
% 0.95/0.64 # Starting new_bool_1 with 300s (1) cores
% 0.95/0.64 # Starting sh5l with 300s (1) cores
% 0.95/0.64 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 30403 completed with status 0
% 0.95/0.64 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.95/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.95/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.95/0.64 # No SInE strategy applied
% 0.95/0.64 # Search class: FGHSF-FFMM31-SFFFFFNN
% 0.95/0.64 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.95/0.64 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.95/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.95/0.64 # Starting new_bool_3 with 136s (1) cores
% 0.95/0.64 # Starting new_bool_1 with 136s (1) cores
% 0.95/0.64 # Starting U----_212g_01_C10_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.95/0.64 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 30409 completed with status 0
% 0.95/0.64 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.95/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.95/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.95/0.64 # No SInE strategy applied
% 0.95/0.64 # Search class: FGHSF-FFMM31-SFFFFFNN
% 0.95/0.64 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.95/0.64 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.95/0.64 # Preprocessing time : 0.003 s
% 0.95/0.64 # Presaturation interreduction done
% 0.95/0.64
% 0.95/0.64 # Proof found!
% 0.95/0.64 # SZS status Theorem
% 0.95/0.64 # SZS output start CNFRefutation
% See solution above
% 0.95/0.64 # Parsed axioms : 30
% 0.95/0.64 # Removed by relevancy pruning/SinE : 0
% 0.95/0.64 # Initial clauses : 68
% 0.95/0.64 # Removed in clause preprocessing : 5
% 0.95/0.64 # Initial clauses in saturation : 63
% 0.95/0.64 # Processed clauses : 740
% 0.95/0.64 # ...of these trivial : 19
% 0.95/0.64 # ...subsumed : 215
% 0.95/0.64 # ...remaining for further processing : 506
% 0.95/0.64 # Other redundant clauses eliminated : 2
% 0.95/0.64 # Clauses deleted for lack of memory : 0
% 0.95/0.64 # Backward-subsumed : 29
% 0.95/0.64 # Backward-rewritten : 19
% 0.95/0.64 # Generated clauses : 1657
% 0.95/0.64 # ...of the previous two non-redundant : 1534
% 0.95/0.64 # ...aggressively subsumed : 0
% 0.95/0.64 # Contextual simplify-reflections : 13
% 0.95/0.64 # Paramodulations : 1649
% 0.95/0.64 # Factorizations : 4
% 0.95/0.64 # NegExts : 0
% 0.95/0.64 # Equation resolutions : 2
% 0.95/0.64 # Total rewrite steps : 384
% 0.95/0.64 # Propositional unsat checks : 0
% 0.95/0.64 # Propositional check models : 0
% 0.95/0.64 # Propositional check unsatisfiable : 0
% 0.95/0.64 # Propositional clauses : 0
% 0.95/0.64 # Propositional clauses after purity: 0
% 0.95/0.64 # Propositional unsat core size : 0
% 0.95/0.64 # Propositional preprocessing time : 0.000
% 0.95/0.64 # Propositional encoding time : 0.000
% 0.95/0.64 # Propositional solver time : 0.000
% 0.95/0.64 # Success case prop preproc time : 0.000
% 0.95/0.64 # Success case prop encoding time : 0.000
% 0.95/0.64 # Success case prop solver time : 0.000
% 0.95/0.64 # Current number of processed clauses : 408
% 0.95/0.64 # Positive orientable unit clauses : 95
% 0.95/0.64 # Positive unorientable unit clauses: 1
% 0.95/0.64 # Negative unit clauses : 9
% 0.95/0.64 # Non-unit-clauses : 303
% 0.95/0.64 # Current number of unprocessed clauses: 901
% 0.95/0.64 # ...number of literals in the above : 2838
% 0.95/0.64 # Current number of archived formulas : 0
% 0.95/0.64 # Current number of archived clauses : 97
% 0.95/0.64 # Clause-clause subsumption calls (NU) : 16903
% 0.95/0.64 # Rec. Clause-clause subsumption calls : 10314
% 0.95/0.64 # Non-unit clause-clause subsumptions : 164
% 0.95/0.64 # Unit Clause-clause subsumption calls : 1568
% 0.95/0.64 # Rewrite failures with RHS unbound : 0
% 0.95/0.64 # BW rewrite match attempts : 67
% 0.95/0.64 # BW rewrite match successes : 11
% 0.95/0.64 # Condensation attempts : 0
% 0.95/0.64 # Condensation successes : 0
% 0.95/0.64 # Termbank termtop insertions : 33170
% 0.95/0.64
% 0.95/0.64 # -------------------------------------------------
% 0.95/0.64 # User time : 0.094 s
% 0.95/0.64 # System time : 0.013 s
% 0.95/0.64 # Total time : 0.107 s
% 0.95/0.64 # Maximum resident set size: 1980 pages
% 0.95/0.64
% 0.95/0.64 # -------------------------------------------------
% 0.95/0.64 # User time : 0.440 s
% 0.95/0.64 # System time : 0.024 s
% 0.95/0.64 # Total time : 0.465 s
% 0.95/0.64 # Maximum resident set size: 1720 pages
% 0.95/0.64 % E---3.1 exiting
% 0.95/0.64 % E---3.1 exiting
%------------------------------------------------------------------------------