TSTP Solution File: SET708+4 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET708+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 19:23:25 EDT 2023
% Result : Theorem 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 61 ( 19 unt; 0 def)
% Number of atoms : 296 ( 22 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 378 ( 143 ~; 173 |; 50 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-6 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-8 aty)
% Number of variables : 185 ( 0 sgn; 74 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII01a,conjecture,
! [X6,X10,X17,X18,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& compose_predicate(X17,X10,X6,X1,X2,X11)
& compose_predicate(X18,X10,X6,X1,X2,X11) )
=> equal_maps(X17,X18,X1,X11) ),
file('/export/starexec/sandbox/tmp/tmp.lmE8yHaSgb/E---3.1_32706.p',thII01a) ).
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/sandbox/tmp/tmp.lmE8yHaSgb/E---3.1_32706.p',maps) ).
fof(compose_predicate,axiom,
! [X9,X10,X6,X1,X2,X11] :
( compose_predicate(X9,X10,X6,X1,X2,X11)
<=> ! [X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(X9,X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.lmE8yHaSgb/E---3.1_32706.p',compose_predicate) ).
fof(equal_maps,axiom,
! [X6,X10,X1,X2] :
( equal_maps(X6,X10,X1,X2)
<=> ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X10,X3,X8) )
=> X7 = X8 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.lmE8yHaSgb/E---3.1_32706.p',equal_maps) ).
fof(c_0_4,negated_conjecture,
~ ! [X6,X10,X17,X18,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& compose_predicate(X17,X10,X6,X1,X2,X11)
& compose_predicate(X18,X10,X6,X1,X2,X11) )
=> equal_maps(X17,X18,X1,X11) ),
inference(assume_negation,[status(cth)],[thII01a]) ).
fof(c_0_5,plain,
! [X60,X61,X62,X63,X65,X66,X67,X68,X69,X70,X72] :
( ( member(esk15_4(X60,X61,X62,X63),X62)
| ~ member(X63,X61)
| ~ maps(X60,X61,X62) )
& ( apply(X60,X63,esk15_4(X60,X61,X62,X63))
| ~ member(X63,X61)
| ~ maps(X60,X61,X62) )
& ( ~ member(X65,X61)
| ~ member(X66,X62)
| ~ member(X67,X62)
| ~ apply(X60,X65,X66)
| ~ apply(X60,X65,X67)
| X66 = X67
| ~ maps(X60,X61,X62) )
& ( member(esk17_3(X68,X69,X70),X69)
| member(esk16_3(X68,X69,X70),X69)
| maps(X68,X69,X70) )
& ( member(esk18_3(X68,X69,X70),X70)
| member(esk16_3(X68,X69,X70),X69)
| maps(X68,X69,X70) )
& ( member(esk19_3(X68,X69,X70),X70)
| member(esk16_3(X68,X69,X70),X69)
| maps(X68,X69,X70) )
& ( apply(X68,esk17_3(X68,X69,X70),esk18_3(X68,X69,X70))
| member(esk16_3(X68,X69,X70),X69)
| maps(X68,X69,X70) )
& ( apply(X68,esk17_3(X68,X69,X70),esk19_3(X68,X69,X70))
| member(esk16_3(X68,X69,X70),X69)
| maps(X68,X69,X70) )
& ( esk18_3(X68,X69,X70) != esk19_3(X68,X69,X70)
| member(esk16_3(X68,X69,X70),X69)
| maps(X68,X69,X70) )
& ( member(esk17_3(X68,X69,X70),X69)
| ~ member(X72,X70)
| ~ apply(X68,esk16_3(X68,X69,X70),X72)
| maps(X68,X69,X70) )
& ( member(esk18_3(X68,X69,X70),X70)
| ~ member(X72,X70)
| ~ apply(X68,esk16_3(X68,X69,X70),X72)
| maps(X68,X69,X70) )
& ( member(esk19_3(X68,X69,X70),X70)
| ~ member(X72,X70)
| ~ apply(X68,esk16_3(X68,X69,X70),X72)
| maps(X68,X69,X70) )
& ( apply(X68,esk17_3(X68,X69,X70),esk18_3(X68,X69,X70))
| ~ member(X72,X70)
| ~ apply(X68,esk16_3(X68,X69,X70),X72)
| maps(X68,X69,X70) )
& ( apply(X68,esk17_3(X68,X69,X70),esk19_3(X68,X69,X70))
| ~ member(X72,X70)
| ~ apply(X68,esk16_3(X68,X69,X70),X72)
| maps(X68,X69,X70) )
& ( esk18_3(X68,X69,X70) != esk19_3(X68,X69,X70)
| ~ member(X72,X70)
| ~ apply(X68,esk16_3(X68,X69,X70),X72)
| maps(X68,X69,X70) ) ),
inference(distribute,[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])])])])])]) ).
fof(c_0_6,negated_conjecture,
( maps(esk1_0,esk5_0,esk6_0)
& maps(esk2_0,esk6_0,esk7_0)
& compose_predicate(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0)
& compose_predicate(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0)
& ~ equal_maps(esk3_0,esk4_0,esk5_0,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,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_5]) ).
cnf(c_0_8,negated_conjecture,
maps(esk2_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( apply(X1,X2,esk15_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( member(esk15_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,plain,
! [X40,X41,X42,X43,X44,X45,X46,X47,X49,X50,X51,X52,X53,X54,X55,X58] :
( ( member(esk11_8(X40,X41,X42,X43,X44,X45,X46,X47),X44)
| ~ apply(X40,X46,X47)
| ~ member(X46,X43)
| ~ member(X47,X45)
| ~ compose_predicate(X40,X41,X42,X43,X44,X45) )
& ( apply(X42,X46,esk11_8(X40,X41,X42,X43,X44,X45,X46,X47))
| ~ apply(X40,X46,X47)
| ~ member(X46,X43)
| ~ member(X47,X45)
| ~ compose_predicate(X40,X41,X42,X43,X44,X45) )
& ( apply(X41,esk11_8(X40,X41,X42,X43,X44,X45,X46,X47),X47)
| ~ apply(X40,X46,X47)
| ~ member(X46,X43)
| ~ member(X47,X45)
| ~ compose_predicate(X40,X41,X42,X43,X44,X45) )
& ( ~ member(X49,X44)
| ~ apply(X42,X46,X49)
| ~ apply(X41,X49,X47)
| apply(X40,X46,X47)
| ~ member(X46,X43)
| ~ member(X47,X45)
| ~ compose_predicate(X40,X41,X42,X43,X44,X45) )
& ( member(esk12_6(X50,X51,X52,X53,X54,X55),X53)
| compose_predicate(X50,X51,X52,X53,X54,X55) )
& ( member(esk13_6(X50,X51,X52,X53,X54,X55),X55)
| compose_predicate(X50,X51,X52,X53,X54,X55) )
& ( ~ apply(X50,esk12_6(X50,X51,X52,X53,X54,X55),esk13_6(X50,X51,X52,X53,X54,X55))
| ~ member(X58,X54)
| ~ apply(X52,esk12_6(X50,X51,X52,X53,X54,X55),X58)
| ~ apply(X51,X58,esk13_6(X50,X51,X52,X53,X54,X55))
| compose_predicate(X50,X51,X52,X53,X54,X55) )
& ( member(esk14_6(X50,X51,X52,X53,X54,X55),X54)
| apply(X50,esk12_6(X50,X51,X52,X53,X54,X55),esk13_6(X50,X51,X52,X53,X54,X55))
| compose_predicate(X50,X51,X52,X53,X54,X55) )
& ( apply(X52,esk12_6(X50,X51,X52,X53,X54,X55),esk14_6(X50,X51,X52,X53,X54,X55))
| apply(X50,esk12_6(X50,X51,X52,X53,X54,X55),esk13_6(X50,X51,X52,X53,X54,X55))
| compose_predicate(X50,X51,X52,X53,X54,X55) )
& ( apply(X51,esk14_6(X50,X51,X52,X53,X54,X55),esk13_6(X50,X51,X52,X53,X54,X55))
| apply(X50,esk12_6(X50,X51,X52,X53,X54,X55),esk13_6(X50,X51,X52,X53,X54,X55))
| compose_predicate(X50,X51,X52,X53,X54,X55) ) ),
inference(distribute,[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)],[compose_predicate])])])])])]) ).
cnf(c_0_12,negated_conjecture,
( X1 = X2
| ~ apply(esk2_0,X3,X2)
| ~ apply(esk2_0,X3,X1)
| ~ member(X2,esk7_0)
| ~ member(X1,esk7_0)
| ~ member(X3,esk6_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( apply(esk2_0,X1,esk15_4(esk2_0,esk6_0,esk7_0,X1))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( member(esk15_4(esk2_0,esk6_0,esk7_0,X1),esk7_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_15,plain,
( apply(X1,esk11_8(X2,X1,X3,X4,X5,X6,X7,X8),X8)
| ~ apply(X2,X7,X8)
| ~ member(X7,X4)
| ~ member(X8,X6)
| ~ compose_predicate(X2,X1,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
compose_predicate(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,plain,
( member(esk11_8(X1,X2,X3,X4,X5,X6,X7,X8),X5)
| ~ apply(X1,X7,X8)
| ~ member(X7,X4)
| ~ member(X8,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,plain,
! [X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36] :
( ( ~ equal_maps(X26,X27,X28,X29)
| ~ member(X30,X28)
| ~ member(X31,X29)
| ~ member(X32,X29)
| ~ apply(X26,X30,X31)
| ~ apply(X27,X30,X32)
| X31 = X32 )
& ( member(esk8_4(X33,X34,X35,X36),X35)
| equal_maps(X33,X34,X35,X36) )
& ( member(esk9_4(X33,X34,X35,X36),X36)
| equal_maps(X33,X34,X35,X36) )
& ( member(esk10_4(X33,X34,X35,X36),X36)
| equal_maps(X33,X34,X35,X36) )
& ( apply(X33,esk8_4(X33,X34,X35,X36),esk9_4(X33,X34,X35,X36))
| equal_maps(X33,X34,X35,X36) )
& ( apply(X34,esk8_4(X33,X34,X35,X36),esk10_4(X33,X34,X35,X36))
| equal_maps(X33,X34,X35,X36) )
& ( esk9_4(X33,X34,X35,X36) != esk10_4(X33,X34,X35,X36)
| equal_maps(X33,X34,X35,X36) ) ),
inference(distribute,[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)],[equal_maps])])])])])]) ).
cnf(c_0_19,plain,
( apply(X7,X4,X6)
| ~ member(X1,X2)
| ~ apply(X3,X4,X1)
| ~ apply(X5,X1,X6)
| ~ member(X4,X8)
| ~ member(X6,X9)
| ~ compose_predicate(X7,X5,X3,X8,X2,X9) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
compose_predicate(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( X1 = esk15_4(esk2_0,esk6_0,esk7_0,X2)
| ~ apply(esk2_0,X2,X1)
| ~ member(X1,esk7_0)
| ~ member(X2,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( apply(esk2_0,esk11_8(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2),X2)
| ~ apply(esk3_0,X1,X2)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( member(esk11_8(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2),esk6_0)
| ~ apply(esk3_0,X1,X2)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
~ equal_maps(esk3_0,esk4_0,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,plain,
( apply(X1,esk8_4(X1,X2,X3,X4),esk9_4(X1,X2,X3,X4))
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( member(esk9_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( member(esk8_4(X1,X2,X3,X4),X3)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
maps(esk1_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( apply(esk4_0,X1,X2)
| ~ apply(esk2_0,X3,X2)
| ~ apply(esk1_0,X1,X3)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0)
| ~ member(X3,esk6_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_30,negated_conjecture,
( esk15_4(esk2_0,esk6_0,esk7_0,esk11_8(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2)) = X2
| ~ apply(esk3_0,X1,X2)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_31,negated_conjecture,
apply(esk3_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk9_4(esk3_0,esk4_0,esk5_0,esk7_0)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
member(esk9_4(esk3_0,esk4_0,esk5_0,esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
member(esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk5_0),
inference(spm,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X3,X2)
| ~ apply(esk1_0,X3,X1)
| ~ member(X2,esk6_0)
| ~ member(X1,esk6_0)
| ~ member(X3,esk5_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( apply(esk1_0,X1,esk15_4(esk1_0,esk5_0,esk6_0,X1))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( member(esk15_4(esk1_0,esk5_0,esk6_0,X1),esk6_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_28]) ).
cnf(c_0_37,plain,
( apply(X1,X2,esk11_8(X3,X4,X1,X5,X6,X7,X2,X8))
| ~ apply(X3,X2,X8)
| ~ member(X2,X5)
| ~ member(X8,X7)
| ~ compose_predicate(X3,X4,X1,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,negated_conjecture,
( apply(esk4_0,X1,esk15_4(esk2_0,esk6_0,esk7_0,X2))
| ~ apply(esk1_0,X1,X2)
| ~ member(X1,esk5_0)
| ~ member(X2,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_13]),c_0_14]) ).
cnf(c_0_39,negated_conjecture,
esk15_4(esk2_0,esk6_0,esk7_0,esk11_8(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk9_4(esk3_0,esk4_0,esk5_0,esk7_0))) = esk9_4(esk3_0,esk4_0,esk5_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_40,negated_conjecture,
member(esk11_8(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk9_4(esk3_0,esk4_0,esk5_0,esk7_0)),esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_41,negated_conjecture,
( X1 = esk15_4(esk1_0,esk5_0,esk6_0,X2)
| ~ apply(esk1_0,X2,X1)
| ~ member(X1,esk6_0)
| ~ member(X2,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( apply(esk1_0,X1,esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2))
| ~ apply(esk4_0,X1,X2)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_43,negated_conjecture,
( member(esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2),esk6_0)
| ~ apply(esk4_0,X1,X2)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_44,plain,
( apply(X1,esk8_4(X2,X1,X3,X4),esk10_4(X2,X1,X3,X4))
| equal_maps(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_45,plain,
( member(esk10_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_46,negated_conjecture,
( apply(esk2_0,esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2),X2)
| ~ apply(esk4_0,X1,X2)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_47,negated_conjecture,
( apply(esk4_0,X1,esk9_4(esk3_0,esk4_0,esk5_0,esk7_0))
| ~ apply(esk1_0,X1,esk11_8(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk9_4(esk3_0,esk4_0,esk5_0,esk7_0)))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_48,negated_conjecture,
( apply(esk1_0,X1,esk11_8(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2))
| ~ apply(esk3_0,X1,X2)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_16]) ).
cnf(c_0_49,negated_conjecture,
( esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2) = esk15_4(esk1_0,esk5_0,esk6_0,X1)
| ~ apply(esk4_0,X1,X2)
| ~ member(X1,esk5_0)
| ~ member(X2,esk7_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_50,negated_conjecture,
apply(esk4_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk10_4(esk3_0,esk4_0,esk5_0,esk7_0)),
inference(spm,[status(thm)],[c_0_24,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
member(esk10_4(esk3_0,esk4_0,esk5_0,esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_24,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( esk15_4(esk2_0,esk6_0,esk7_0,esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,X1,X2)) = X2
| ~ apply(esk4_0,X1,X2)
| ~ member(X2,esk7_0)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_46]),c_0_43]) ).
cnf(c_0_53,negated_conjecture,
apply(esk4_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk9_4(esk3_0,esk4_0,esk5_0,esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_33]),c_0_31]),c_0_32])]) ).
cnf(c_0_54,negated_conjecture,
esk15_4(esk1_0,esk5_0,esk6_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0)) = esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk10_4(esk3_0,esk4_0,esk5_0,esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_33]),c_0_51])]) ).
cnf(c_0_55,plain,
( equal_maps(X1,X2,X3,X4)
| esk9_4(X1,X2,X3,X4) != esk10_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_56,negated_conjecture,
esk15_4(esk2_0,esk6_0,esk7_0,esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk10_4(esk3_0,esk4_0,esk5_0,esk7_0))) = esk10_4(esk3_0,esk4_0,esk5_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_51]),c_0_33])]) ).
cnf(c_0_57,negated_conjecture,
esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk10_4(esk3_0,esk4_0,esk5_0,esk7_0)) = esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk9_4(esk3_0,esk4_0,esk5_0,esk7_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_53]),c_0_33]),c_0_32])]),c_0_54]) ).
cnf(c_0_58,negated_conjecture,
esk15_4(esk2_0,esk6_0,esk7_0,esk11_8(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0,esk8_4(esk3_0,esk4_0,esk5_0,esk7_0),esk9_4(esk3_0,esk4_0,esk5_0,esk7_0))) = esk9_4(esk3_0,esk4_0,esk5_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_32]),c_0_33])]) ).
cnf(c_0_59,negated_conjecture,
esk10_4(esk3_0,esk4_0,esk5_0,esk7_0) != esk9_4(esk3_0,esk4_0,esk5_0,esk7_0),
inference(spm,[status(thm)],[c_0_24,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET708+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Oct 2 17:29:06 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.lmE8yHaSgb/E---3.1_32706.p
% 0.15/0.44 # Version: 3.1pre001
% 0.15/0.44 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 # Starting sh5l with 300s (1) cores
% 0.15/0.44 # new_bool_1 with pid 318 completed with status 0
% 0.15/0.44 # Result found by new_bool_1
% 0.15/0.44 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 # Search class: FGUSF-FFMS33-SFFFFFNN
% 0.15/0.44 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 0.15/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 0.15/0.44 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 321 completed with status 0
% 0.15/0.44 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 0.15/0.44 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 # Search class: FGUSF-FFMS33-SFFFFFNN
% 0.15/0.44 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 0.15/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 0.15/0.44 # Preprocessing time : 0.002 s
% 0.15/0.44 # Presaturation interreduction done
% 0.15/0.44
% 0.15/0.44 # Proof found!
% 0.15/0.44 # SZS status Theorem
% 0.15/0.44 # SZS output start CNFRefutation
% See solution above
% 0.15/0.44 # Parsed axioms : 29
% 0.15/0.44 # Removed by relevancy pruning/SinE : 25
% 0.15/0.44 # Initial clauses : 37
% 0.15/0.44 # Removed in clause preprocessing : 0
% 0.15/0.44 # Initial clauses in saturation : 37
% 0.15/0.44 # Processed clauses : 151
% 0.15/0.44 # ...of these trivial : 0
% 0.15/0.44 # ...subsumed : 2
% 0.15/0.44 # ...remaining for further processing : 149
% 0.15/0.44 # Other redundant clauses eliminated : 0
% 0.15/0.44 # Clauses deleted for lack of memory : 0
% 0.15/0.44 # Backward-subsumed : 0
% 0.15/0.44 # Backward-rewritten : 7
% 0.15/0.44 # Generated clauses : 434
% 0.15/0.44 # ...of the previous two non-redundant : 399
% 0.15/0.44 # ...aggressively subsumed : 0
% 0.15/0.44 # Contextual simplify-reflections : 9
% 0.15/0.44 # Paramodulations : 434
% 0.15/0.44 # Factorizations : 0
% 0.15/0.44 # NegExts : 0
% 0.15/0.44 # Equation resolutions : 0
% 0.15/0.44 # Total rewrite steps : 197
% 0.15/0.44 # Propositional unsat checks : 0
% 0.15/0.44 # Propositional check models : 0
% 0.15/0.44 # Propositional check unsatisfiable : 0
% 0.15/0.44 # Propositional clauses : 0
% 0.15/0.44 # Propositional clauses after purity: 0
% 0.15/0.44 # Propositional unsat core size : 0
% 0.15/0.44 # Propositional preprocessing time : 0.000
% 0.15/0.44 # Propositional encoding time : 0.000
% 0.15/0.44 # Propositional solver time : 0.000
% 0.15/0.44 # Success case prop preproc time : 0.000
% 0.15/0.44 # Success case prop encoding time : 0.000
% 0.15/0.44 # Success case prop solver time : 0.000
% 0.15/0.44 # Current number of processed clauses : 105
% 0.15/0.44 # Positive orientable unit clauses : 21
% 0.15/0.44 # Positive unorientable unit clauses: 0
% 0.15/0.44 # Negative unit clauses : 2
% 0.15/0.44 # Non-unit-clauses : 82
% 0.15/0.44 # Current number of unprocessed clauses: 317
% 0.15/0.44 # ...number of literals in the above : 1947
% 0.15/0.44 # Current number of archived formulas : 0
% 0.15/0.44 # Current number of archived clauses : 44
% 0.15/0.44 # Clause-clause subsumption calls (NU) : 1203
% 0.15/0.44 # Rec. Clause-clause subsumption calls : 460
% 0.15/0.44 # Non-unit clause-clause subsumptions : 11
% 0.15/0.44 # Unit Clause-clause subsumption calls : 11
% 0.15/0.44 # Rewrite failures with RHS unbound : 0
% 0.15/0.44 # BW rewrite match attempts : 45
% 0.15/0.44 # BW rewrite match successes : 1
% 0.15/0.44 # Condensation attempts : 0
% 0.15/0.44 # Condensation successes : 0
% 0.15/0.44 # Termbank termtop insertions : 18985
% 0.15/0.44
% 0.15/0.44 # -------------------------------------------------
% 0.15/0.44 # User time : 0.019 s
% 0.15/0.44 # System time : 0.003 s
% 0.15/0.44 # Total time : 0.022 s
% 0.15/0.44 # Maximum resident set size: 1908 pages
% 0.15/0.44
% 0.15/0.44 # -------------------------------------------------
% 0.15/0.44 # User time : 0.020 s
% 0.15/0.44 # System time : 0.005 s
% 0.15/0.44 # Total time : 0.025 s
% 0.15/0.44 # Maximum resident set size: 1740 pages
% 0.15/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------