TSTP Solution File: SET732+4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET732+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:20:04 EDT 2024
% Result : Theorem 1.69s 0.65s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 80 ( 15 unt; 0 def)
% Number of atoms : 329 ( 23 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 399 ( 150 ~; 174 |; 56 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-4 aty)
% Number of variables : 209 ( 0 sgn 85 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII23,conjecture,
! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X2)
& image2(X6,X1) = X11
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X11) )
=> ( apply(X10,X3,X5)
<=> apply(X6,X3,X5) ) )
& injective(X6,X1,X2) )
=> one_to_one(X10,X1,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.1BUltHStSV/E---3.1_17385.p',thII23) ).
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1BUltHStSV/E---3.1_17385.p',image2) ).
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X6,X4,X5) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1BUltHStSV/E---3.1_17385.p',surjective) ).
fof(one_to_one,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( injective(X6,X1,X2)
& surjective(X6,X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1BUltHStSV/E---3.1_17385.p',one_to_one) ).
fof(injective,axiom,
! [X6,X1,X2] :
( injective(X6,X1,X2)
<=> ! [X13,X14,X5] :
( ( member(X13,X1)
& member(X14,X1)
& member(X5,X2) )
=> ( ( apply(X6,X13,X5)
& apply(X6,X14,X5) )
=> X13 = X14 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1BUltHStSV/E---3.1_17385.p',injective) ).
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1BUltHStSV/E---3.1_17385.p',maps) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1BUltHStSV/E---3.1_17385.p',subset) ).
fof(c_0_7,negated_conjecture,
~ ! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X2)
& image2(X6,X1) = X11
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X11) )
=> ( apply(X10,X3,X5)
<=> apply(X6,X3,X5) ) )
& injective(X6,X1,X2) )
=> one_to_one(X10,X1,X11) ),
inference(assume_negation,[status(cth)],[thII23]) ).
fof(c_0_8,plain,
! [X39,X40,X41,X43,X44,X45,X46] :
( ( member(esk9_3(X39,X40,X41),X40)
| ~ member(X41,image2(X39,X40)) )
& ( apply(X39,esk9_3(X39,X40,X41),X41)
| ~ member(X41,image2(X39,X40)) )
& ( ~ member(X46,X44)
| ~ apply(X43,X46,X45)
| member(X45,image2(X43,X44)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[image2])])])])])])]) ).
fof(c_0_9,negated_conjecture,
! [X22,X23] :
( maps(esk1_0,esk3_0,esk4_0)
& subset(esk5_0,esk4_0)
& image2(esk1_0,esk3_0) = esk5_0
& ( ~ apply(esk2_0,X22,X23)
| apply(esk1_0,X22,X23)
| ~ member(X22,esk3_0)
| ~ member(X23,esk5_0) )
& ( ~ apply(esk1_0,X22,X23)
| apply(esk2_0,X22,X23)
| ~ member(X22,esk3_0)
| ~ member(X23,esk5_0) )
& injective(esk1_0,esk3_0,esk4_0)
& ~ one_to_one(esk2_0,esk3_0,esk5_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])]) ).
cnf(c_0_10,plain,
( member(X4,image2(X3,X2))
| ~ member(X1,X2)
| ~ apply(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( apply(esk2_0,X1,X2)
| ~ apply(esk1_0,X1,X2)
| ~ member(X1,esk3_0)
| ~ member(X2,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X69,X70,X71,X72,X74,X75,X76,X78] :
( ( member(esk16_4(X69,X70,X71,X72),X70)
| ~ member(X72,X71)
| ~ surjective(X69,X70,X71) )
& ( apply(X69,esk16_4(X69,X70,X71,X72),X72)
| ~ member(X72,X71)
| ~ surjective(X69,X70,X71) )
& ( member(esk17_3(X74,X75,X76),X76)
| surjective(X74,X75,X76) )
& ( ~ member(X78,X75)
| ~ apply(X74,X78,esk17_3(X74,X75,X76))
| surjective(X74,X75,X76) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[surjective])])])])])])]) ).
cnf(c_0_13,negated_conjecture,
( member(X1,image2(esk2_0,X2))
| ~ apply(esk1_0,X3,X1)
| ~ member(X1,esk5_0)
| ~ member(X3,esk3_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( apply(X1,esk9_3(X1,X2,X3),X3)
| ~ member(X3,image2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( member(esk9_3(X1,X2,X3),X2)
| ~ member(X3,image2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
image2(esk1_0,esk3_0) = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( surjective(X3,X2,X4)
| ~ member(X1,X2)
| ~ apply(X3,X1,esk17_3(X3,X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( apply(X1,esk16_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( member(X1,image2(esk2_0,X2))
| ~ member(esk9_3(esk1_0,X3,X1),esk3_0)
| ~ member(esk9_3(esk1_0,X3,X1),X2)
| ~ member(X1,image2(esk1_0,X3))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( member(esk9_3(esk1_0,esk3_0,X1),esk3_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_21,plain,
! [X24,X25,X26] :
( ( injective(X24,X25,X26)
| ~ one_to_one(X24,X25,X26) )
& ( surjective(X24,X25,X26)
| ~ one_to_one(X24,X25,X26) )
& ( ~ injective(X24,X25,X26)
| ~ surjective(X24,X25,X26)
| one_to_one(X24,X25,X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])])]) ).
cnf(c_0_22,plain,
( surjective(X1,X2,X3)
| ~ surjective(X1,X4,X5)
| ~ member(esk16_4(X1,X4,X5,esk17_3(X1,X2,X3)),X2)
| ~ member(esk17_3(X1,X2,X3),X5) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( member(esk16_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
( member(X1,image2(esk2_0,X2))
| ~ member(esk9_3(esk1_0,esk3_0,X1),X2)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16])]) ).
cnf(c_0_25,negated_conjecture,
~ one_to_one(esk2_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X27,X28,X29,X30,X31,X32,X33,X34,X35] :
( ( ~ injective(X27,X28,X29)
| ~ member(X30,X28)
| ~ member(X31,X28)
| ~ member(X32,X29)
| ~ apply(X27,X30,X32)
| ~ apply(X27,X31,X32)
| X30 = X31 )
& ( member(esk6_3(X33,X34,X35),X34)
| injective(X33,X34,X35) )
& ( member(esk7_3(X33,X34,X35),X34)
| injective(X33,X34,X35) )
& ( member(esk8_3(X33,X34,X35),X35)
| injective(X33,X34,X35) )
& ( apply(X33,esk6_3(X33,X34,X35),esk8_3(X33,X34,X35))
| injective(X33,X34,X35) )
& ( apply(X33,esk7_3(X33,X34,X35),esk8_3(X33,X34,X35))
| injective(X33,X34,X35) )
& ( esk6_3(X33,X34,X35) != esk7_3(X33,X34,X35)
| injective(X33,X34,X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[injective])])])])])])]) ).
cnf(c_0_28,plain,
( surjective(X1,X2,X3)
| ~ surjective(X1,X2,X4)
| ~ member(esk17_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( member(X1,image2(esk2_0,esk3_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_30,plain,
( member(esk17_3(X1,X2,X3),X3)
| surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_31,plain,
! [X53,X54,X55,X56,X58,X59,X60,X61,X62,X63,X65] :
( ( member(esk11_4(X53,X54,X55,X56),X55)
| ~ member(X56,X54)
| ~ maps(X53,X54,X55) )
& ( apply(X53,X56,esk11_4(X53,X54,X55,X56))
| ~ member(X56,X54)
| ~ maps(X53,X54,X55) )
& ( ~ member(X58,X54)
| ~ member(X59,X55)
| ~ member(X60,X55)
| ~ apply(X53,X58,X59)
| ~ apply(X53,X58,X60)
| X59 = X60
| ~ maps(X53,X54,X55) )
& ( member(esk13_3(X61,X62,X63),X62)
| member(esk12_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( member(esk14_3(X61,X62,X63),X63)
| member(esk12_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( member(esk15_3(X61,X62,X63),X63)
| member(esk12_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( apply(X61,esk13_3(X61,X62,X63),esk14_3(X61,X62,X63))
| member(esk12_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( apply(X61,esk13_3(X61,X62,X63),esk15_3(X61,X62,X63))
| member(esk12_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( esk14_3(X61,X62,X63) != esk15_3(X61,X62,X63)
| member(esk12_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( member(esk13_3(X61,X62,X63),X62)
| ~ member(X65,X63)
| ~ apply(X61,esk12_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( member(esk14_3(X61,X62,X63),X63)
| ~ member(X65,X63)
| ~ apply(X61,esk12_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( member(esk15_3(X61,X62,X63),X63)
| ~ member(X65,X63)
| ~ apply(X61,esk12_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( apply(X61,esk13_3(X61,X62,X63),esk14_3(X61,X62,X63))
| ~ member(X65,X63)
| ~ apply(X61,esk12_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( apply(X61,esk13_3(X61,X62,X63),esk15_3(X61,X62,X63))
| ~ member(X65,X63)
| ~ apply(X61,esk12_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( esk14_3(X61,X62,X63) != esk15_3(X61,X62,X63)
| ~ member(X65,X63)
| ~ apply(X61,esk12_3(X61,X62,X63),X65)
| maps(X61,X62,X63) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
cnf(c_0_32,negated_conjecture,
( ~ surjective(esk2_0,esk3_0,esk5_0)
| ~ injective(esk2_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
( apply(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( member(esk7_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( member(esk8_3(X1,X2,X3),X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
( surjective(X1,X2,X3)
| ~ surjective(X1,X2,image2(esk2_0,esk3_0))
| ~ member(esk17_3(X1,X2,X3),esk5_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
( surjective(X1,X2,X3)
| ~ member(esk9_3(X1,X4,esk17_3(X1,X2,X3)),X2)
| ~ member(esk17_3(X1,X2,X3),image2(X1,X4)) ),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_38,plain,
( surjective(X1,X2,image2(X3,X4))
| member(esk9_3(X3,X4,esk17_3(X1,X2,image2(X3,X4))),X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_30]) ).
cnf(c_0_39,plain,
( X3 = X5
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ apply(X6,X1,X3)
| ~ apply(X6,X1,X5)
| ~ maps(X6,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
maps(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_41,plain,
( apply(X1,X2,esk11_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( member(esk11_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ apply(esk2_0,X1,X2)
| ~ member(X1,esk3_0)
| ~ member(X2,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,negated_conjecture,
( apply(esk2_0,esk7_3(esk2_0,esk3_0,esk5_0),esk8_3(esk2_0,esk3_0,esk5_0))
| ~ surjective(esk2_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_45,negated_conjecture,
( member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0)
| ~ surjective(esk2_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_46,negated_conjecture,
( member(esk8_3(esk2_0,esk3_0,esk5_0),esk5_0)
| ~ surjective(esk2_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_47,negated_conjecture,
( surjective(X1,X2,esk5_0)
| ~ surjective(X1,X2,image2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_48,plain,
surjective(X1,X2,image2(X1,X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_30]) ).
cnf(c_0_49,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X3,X2)
| ~ apply(esk1_0,X3,X1)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk3_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( apply(esk1_0,X1,esk11_4(esk1_0,esk3_0,esk4_0,X1))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_51,negated_conjecture,
( member(esk11_4(esk1_0,esk3_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( apply(esk1_0,esk7_3(esk2_0,esk3_0,esk5_0),esk8_3(esk2_0,esk3_0,esk5_0))
| ~ surjective(esk2_0,esk3_0,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
surjective(esk2_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_54,plain,
! [X47,X48,X49,X50,X51] :
( ( ~ subset(X47,X48)
| ~ member(X49,X47)
| member(X49,X48) )
& ( member(esk10_2(X50,X51),X50)
| subset(X50,X51) )
& ( ~ member(esk10_2(X50,X51),X51)
| subset(X50,X51) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).
cnf(c_0_55,plain,
( X4 = X5
| ~ injective(X1,X2,X3)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X6,X3)
| ~ apply(X1,X4,X6)
| ~ apply(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_56,negated_conjecture,
injective(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_57,negated_conjecture,
( X1 = esk11_4(esk1_0,esk3_0,esk4_0,X2)
| ~ apply(esk1_0,X2,X1)
| ~ member(X1,esk4_0)
| ~ member(X2,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_58,negated_conjecture,
apply(esk1_0,esk7_3(esk2_0,esk3_0,esk5_0),esk8_3(esk2_0,esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_59,negated_conjecture,
member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_53])]) ).
cnf(c_0_60,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
subset(esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_62,plain,
( apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_63,plain,
( member(esk6_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_64,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ member(X3,esk4_0)
| ~ member(X2,esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( esk11_4(esk1_0,esk3_0,esk4_0,esk7_3(esk2_0,esk3_0,esk5_0)) = esk8_3(esk2_0,esk3_0,esk5_0)
| ~ member(esk8_3(esk2_0,esk3_0,esk5_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_66,negated_conjecture,
( member(X1,esk4_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
member(esk8_3(esk2_0,esk3_0,esk5_0),esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_53])]) ).
cnf(c_0_68,negated_conjecture,
( apply(esk2_0,esk6_3(esk2_0,esk3_0,esk5_0),esk8_3(esk2_0,esk3_0,esk5_0))
| ~ surjective(esk2_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
( member(esk6_3(esk2_0,esk3_0,esk5_0),esk3_0)
| ~ surjective(esk2_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_63]) ).
cnf(c_0_70,plain,
( injective(X1,X2,X3)
| esk6_3(X1,X2,X3) != esk7_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_71,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X1,esk11_4(esk1_0,esk3_0,esk4_0,X2))
| ~ member(X2,esk3_0)
| ~ member(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_50]),c_0_51]) ).
cnf(c_0_72,negated_conjecture,
esk11_4(esk1_0,esk3_0,esk4_0,esk7_3(esk2_0,esk3_0,esk5_0)) = esk8_3(esk2_0,esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_73,negated_conjecture,
( apply(esk1_0,esk6_3(esk2_0,esk3_0,esk5_0),esk8_3(esk2_0,esk3_0,esk5_0))
| ~ surjective(esk2_0,esk3_0,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_68]),c_0_69]),c_0_46]) ).
cnf(c_0_74,negated_conjecture,
( esk7_3(esk2_0,esk3_0,esk5_0) != esk6_3(esk2_0,esk3_0,esk5_0)
| ~ surjective(esk2_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( X1 = esk7_3(esk2_0,esk3_0,esk5_0)
| ~ apply(esk1_0,X1,esk8_3(esk2_0,esk3_0,esk5_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_59])]) ).
cnf(c_0_76,negated_conjecture,
apply(esk1_0,esk6_3(esk2_0,esk3_0,esk5_0),esk8_3(esk2_0,esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_53])]) ).
cnf(c_0_77,negated_conjecture,
member(esk6_3(esk2_0,esk3_0,esk5_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_53])]) ).
cnf(c_0_78,negated_conjecture,
esk7_3(esk2_0,esk3_0,esk5_0) != esk6_3(esk2_0,esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_53])]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET732+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 10:24:58 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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.1BUltHStSV/E---3.1_17385.p
% 1.69/0.65 # Version: 3.1.0
% 1.69/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.69/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.69/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.69/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.69/0.65 # Starting sh5l with 300s (1) cores
% 1.69/0.65 # new_bool_3 with pid 17464 completed with status 0
% 1.69/0.65 # Result found by new_bool_3
% 1.69/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.69/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.69/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.69/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.69/0.65 # Search class: FGUSF-FFMS33-SFFFFFNN
% 1.69/0.65 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 1.69/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.69/0.65 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 1.69/0.65 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 17468 completed with status 0
% 1.69/0.65 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 1.69/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.69/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.69/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.69/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.69/0.65 # Search class: FGUSF-FFMS33-SFFFFFNN
% 1.69/0.65 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 1.69/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.69/0.65 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 1.69/0.65 # Preprocessing time : 0.004 s
% 1.69/0.65 # Presaturation interreduction done
% 1.69/0.65
% 1.69/0.65 # Proof found!
% 1.69/0.65 # SZS status Theorem
% 1.69/0.65 # SZS output start CNFRefutation
% See solution above
% 1.69/0.65 # Parsed axioms : 29
% 1.69/0.65 # Removed by relevancy pruning/SinE : 22
% 1.69/0.65 # Initial clauses : 42
% 1.69/0.65 # Removed in clause preprocessing : 0
% 1.69/0.65 # Initial clauses in saturation : 42
% 1.69/0.65 # Processed clauses : 775
% 1.69/0.65 # ...of these trivial : 4
% 1.69/0.65 # ...subsumed : 145
% 1.69/0.65 # ...remaining for further processing : 626
% 1.69/0.65 # Other redundant clauses eliminated : 0
% 1.69/0.65 # Clauses deleted for lack of memory : 0
% 1.69/0.65 # Backward-subsumed : 8
% 1.69/0.65 # Backward-rewritten : 211
% 1.69/0.65 # Generated clauses : 8093
% 1.69/0.65 # ...of the previous two non-redundant : 8057
% 1.69/0.65 # ...aggressively subsumed : 0
% 1.69/0.65 # Contextual simplify-reflections : 24
% 1.69/0.65 # Paramodulations : 8087
% 1.69/0.65 # Factorizations : 6
% 1.69/0.65 # NegExts : 0
% 1.69/0.65 # Equation resolutions : 0
% 1.69/0.65 # Disequality decompositions : 0
% 1.69/0.65 # Total rewrite steps : 612
% 1.69/0.65 # ...of those cached : 597
% 1.69/0.65 # Propositional unsat checks : 0
% 1.69/0.65 # Propositional check models : 0
% 1.69/0.65 # Propositional check unsatisfiable : 0
% 1.69/0.65 # Propositional clauses : 0
% 1.69/0.65 # Propositional clauses after purity: 0
% 1.69/0.65 # Propositional unsat core size : 0
% 1.69/0.65 # Propositional preprocessing time : 0.000
% 1.69/0.65 # Propositional encoding time : 0.000
% 1.69/0.65 # Propositional solver time : 0.000
% 1.69/0.65 # Success case prop preproc time : 0.000
% 1.69/0.65 # Success case prop encoding time : 0.000
% 1.69/0.65 # Success case prop solver time : 0.000
% 1.69/0.65 # Current number of processed clauses : 365
% 1.69/0.65 # Positive orientable unit clauses : 18
% 1.69/0.65 # Positive unorientable unit clauses: 0
% 1.69/0.65 # Negative unit clauses : 3
% 1.69/0.65 # Non-unit-clauses : 344
% 1.69/0.65 # Current number of unprocessed clauses: 7361
% 1.69/0.65 # ...number of literals in the above : 35489
% 1.69/0.65 # Current number of archived formulas : 0
% 1.69/0.65 # Current number of archived clauses : 261
% 1.69/0.65 # Clause-clause subsumption calls (NU) : 49437
% 1.69/0.65 # Rec. Clause-clause subsumption calls : 21683
% 1.69/0.65 # Non-unit clause-clause subsumptions : 176
% 1.69/0.65 # Unit Clause-clause subsumption calls : 668
% 1.69/0.65 # Rewrite failures with RHS unbound : 0
% 1.69/0.65 # BW rewrite match attempts : 57
% 1.69/0.65 # BW rewrite match successes : 2
% 1.69/0.65 # Condensation attempts : 0
% 1.69/0.65 # Condensation successes : 0
% 1.69/0.65 # Termbank termtop insertions : 201649
% 1.69/0.65 # Search garbage collected termcells : 1203
% 1.69/0.65
% 1.69/0.65 # -------------------------------------------------
% 1.69/0.65 # User time : 0.181 s
% 1.69/0.65 # System time : 0.015 s
% 1.69/0.65 # Total time : 0.196 s
% 1.69/0.65 # Maximum resident set size: 1904 pages
% 1.69/0.65
% 1.69/0.65 # -------------------------------------------------
% 1.69/0.65 # User time : 0.182 s
% 1.69/0.65 # System time : 0.017 s
% 1.69/0.65 # Total time : 0.200 s
% 1.69/0.65 # Maximum resident set size: 1756 pages
% 1.69/0.65 % E---3.1 exiting
% 1.69/0.65 % E exiting
%------------------------------------------------------------------------------