TSTP Solution File: SET728+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET728+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 19:20:22 EDT 2023
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 18 unt; 0 def)
% Number of atoms : 258 ( 23 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 307 ( 111 ~; 134 |; 49 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-7 aty)
% Number of variables : 157 ( 0 sgn; 69 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII19,conjecture,
! [X6,X10,X9,X1,X2] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X1)
& maps(X9,X2,X1)
& identity(compose_function(X10,X6,X1,X2,X1),X1)
& identity(compose_function(X6,X9,X2,X1,X2),X2) )
=> equal_maps(X10,X9,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.HluyP4S7k3/E---3.1_2770.p',thII19) ).
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.HluyP4S7k3/E---3.1_2770.p',maps) ).
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.HluyP4S7k3/E---3.1_2770.p',equal_maps) ).
fof(identity,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.HluyP4S7k3/E---3.1_2770.p',identity) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.HluyP4S7k3/E---3.1_2770.p',compose_function) ).
fof(c_0_5,negated_conjecture,
~ ! [X6,X10,X9,X1,X2] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X1)
& maps(X9,X2,X1)
& identity(compose_function(X10,X6,X1,X2,X1),X1)
& identity(compose_function(X6,X9,X2,X1,X2),X2) )
=> equal_maps(X10,X9,X2,X1) ),
inference(assume_negation,[status(cth)],[thII19]) ).
fof(c_0_6,plain,
! [X51,X52,X53,X54,X56,X57,X58,X59,X60,X61,X63] :
( ( member(esk11_4(X51,X52,X53,X54),X53)
| ~ member(X54,X52)
| ~ maps(X51,X52,X53) )
& ( apply(X51,X54,esk11_4(X51,X52,X53,X54))
| ~ member(X54,X52)
| ~ maps(X51,X52,X53) )
& ( ~ member(X56,X52)
| ~ member(X57,X53)
| ~ member(X58,X53)
| ~ apply(X51,X56,X57)
| ~ apply(X51,X56,X58)
| X57 = X58
| ~ maps(X51,X52,X53) )
& ( member(esk13_3(X59,X60,X61),X60)
| member(esk12_3(X59,X60,X61),X60)
| maps(X59,X60,X61) )
& ( member(esk14_3(X59,X60,X61),X61)
| member(esk12_3(X59,X60,X61),X60)
| maps(X59,X60,X61) )
& ( member(esk15_3(X59,X60,X61),X61)
| member(esk12_3(X59,X60,X61),X60)
| maps(X59,X60,X61) )
& ( apply(X59,esk13_3(X59,X60,X61),esk14_3(X59,X60,X61))
| member(esk12_3(X59,X60,X61),X60)
| maps(X59,X60,X61) )
& ( apply(X59,esk13_3(X59,X60,X61),esk15_3(X59,X60,X61))
| member(esk12_3(X59,X60,X61),X60)
| maps(X59,X60,X61) )
& ( esk14_3(X59,X60,X61) != esk15_3(X59,X60,X61)
| member(esk12_3(X59,X60,X61),X60)
| maps(X59,X60,X61) )
& ( member(esk13_3(X59,X60,X61),X60)
| ~ member(X63,X61)
| ~ apply(X59,esk12_3(X59,X60,X61),X63)
| maps(X59,X60,X61) )
& ( member(esk14_3(X59,X60,X61),X61)
| ~ member(X63,X61)
| ~ apply(X59,esk12_3(X59,X60,X61),X63)
| maps(X59,X60,X61) )
& ( member(esk15_3(X59,X60,X61),X61)
| ~ member(X63,X61)
| ~ apply(X59,esk12_3(X59,X60,X61),X63)
| maps(X59,X60,X61) )
& ( apply(X59,esk13_3(X59,X60,X61),esk14_3(X59,X60,X61))
| ~ member(X63,X61)
| ~ apply(X59,esk12_3(X59,X60,X61),X63)
| maps(X59,X60,X61) )
& ( apply(X59,esk13_3(X59,X60,X61),esk15_3(X59,X60,X61))
| ~ member(X63,X61)
| ~ apply(X59,esk12_3(X59,X60,X61),X63)
| maps(X59,X60,X61) )
& ( esk14_3(X59,X60,X61) != esk15_3(X59,X60,X61)
| ~ member(X63,X61)
| ~ apply(X59,esk12_3(X59,X60,X61),X63)
| maps(X59,X60,X61) ) ),
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_7,negated_conjecture,
( maps(esk1_0,esk4_0,esk5_0)
& maps(esk2_0,esk5_0,esk4_0)
& maps(esk3_0,esk5_0,esk4_0)
& identity(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0),esk4_0)
& identity(compose_function(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0),esk5_0)
& ~ equal_maps(esk2_0,esk3_0,esk5_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( ~ equal_maps(X22,X23,X24,X25)
| ~ member(X26,X24)
| ~ member(X27,X25)
| ~ member(X28,X25)
| ~ apply(X22,X26,X27)
| ~ apply(X23,X26,X28)
| X27 = X28 )
& ( member(esk6_4(X29,X30,X31,X32),X31)
| equal_maps(X29,X30,X31,X32) )
& ( member(esk7_4(X29,X30,X31,X32),X32)
| equal_maps(X29,X30,X31,X32) )
& ( member(esk8_4(X29,X30,X31,X32),X32)
| equal_maps(X29,X30,X31,X32) )
& ( apply(X29,esk6_4(X29,X30,X31,X32),esk7_4(X29,X30,X31,X32))
| equal_maps(X29,X30,X31,X32) )
& ( apply(X30,esk6_4(X29,X30,X31,X32),esk8_4(X29,X30,X31,X32))
| equal_maps(X29,X30,X31,X32) )
& ( esk7_4(X29,X30,X31,X32) != esk8_4(X29,X30,X31,X32)
| equal_maps(X29,X30,X31,X32) ) ),
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])])])])])]) ).
fof(c_0_9,plain,
! [X36,X37,X38,X39,X40] :
( ( ~ identity(X36,X37)
| ~ member(X38,X37)
| apply(X36,X38,X38) )
& ( member(esk9_2(X39,X40),X40)
| identity(X39,X40) )
& ( ~ apply(X39,esk9_2(X39,X40),esk9_2(X39,X40))
| identity(X39,X40) ) ),
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)],[identity])])])])])]) ).
cnf(c_0_10,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_6]) ).
cnf(c_0_11,negated_conjecture,
maps(esk3_0,esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
~ equal_maps(esk2_0,esk3_0,esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( apply(X1,esk6_4(X2,X1,X3,X4),esk8_4(X2,X1,X3,X4))
| equal_maps(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( member(esk8_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( member(esk6_4(X1,X2,X3,X4),X3)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_16,plain,
! [X42,X43,X44,X45,X46,X47,X48,X50] :
( ( member(esk10_7(X42,X43,X44,X45,X46,X47,X48),X45)
| ~ apply(compose_function(X42,X43,X44,X45,X46),X47,X48)
| ~ member(X47,X44)
| ~ member(X48,X46) )
& ( apply(X43,X47,esk10_7(X42,X43,X44,X45,X46,X47,X48))
| ~ apply(compose_function(X42,X43,X44,X45,X46),X47,X48)
| ~ member(X47,X44)
| ~ member(X48,X46) )
& ( apply(X42,esk10_7(X42,X43,X44,X45,X46,X47,X48),X48)
| ~ apply(compose_function(X42,X43,X44,X45,X46),X47,X48)
| ~ member(X47,X44)
| ~ member(X48,X46) )
& ( ~ member(X50,X45)
| ~ apply(X43,X47,X50)
| ~ apply(X42,X50,X48)
| apply(compose_function(X42,X43,X44,X45,X46),X47,X48)
| ~ member(X47,X44)
| ~ member(X48,X46) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])]) ).
cnf(c_0_17,plain,
( apply(X1,X3,X3)
| ~ identity(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
identity(compose_function(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0),esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( X1 = X2
| ~ apply(esk3_0,X3,X2)
| ~ apply(esk3_0,X3,X1)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk5_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
apply(esk3_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),esk8_4(esk2_0,esk3_0,esk5_0,esk4_0)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
member(esk8_4(esk2_0,esk3_0,esk5_0,esk4_0),esk4_0),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
member(esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),esk5_0),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_23,plain,
( apply(X1,X2,esk10_7(X3,X1,X4,X5,X6,X2,X7))
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7)
| ~ member(X2,X4)
| ~ member(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( apply(compose_function(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0),X1,X1)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( X1 = esk8_4(esk2_0,esk3_0,esk5_0,esk4_0)
| ~ apply(esk3_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),X1)
| ~ member(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
( apply(esk3_0,X1,esk10_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,X1,X1))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( member(esk10_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( apply(X1,esk10_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( esk10_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)) = esk8_4(esk2_0,esk3_0,esk5_0,esk4_0)
| ~ member(esk10_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_22])]) ).
cnf(c_0_30,negated_conjecture,
( member(esk10_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,X1,X1),esk4_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
maps(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
( apply(esk1_0,esk10_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,X1,X1),X1)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
esk10_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)) = esk8_4(esk2_0,esk3_0,esk5_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_22])]) ).
cnf(c_0_34,negated_conjecture,
identity(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0),esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_35,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X3,X2)
| ~ apply(esk1_0,X3,X1)
| ~ member(X2,esk5_0)
| ~ member(X1,esk5_0)
| ~ member(X3,esk4_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
apply(esk1_0,esk8_4(esk2_0,esk3_0,esk5_0,esk4_0),esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22])]) ).
cnf(c_0_37,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0),X1,X1)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
maps(esk2_0,esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39,plain,
( apply(X1,esk6_4(X1,X2,X3,X4),esk7_4(X1,X2,X3,X4))
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,plain,
( member(esk7_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
( X1 = esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)
| ~ apply(esk1_0,esk8_4(esk2_0,esk3_0,esk5_0,esk4_0),X1)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_22]),c_0_21])]) ).
cnf(c_0_42,negated_conjecture,
( apply(esk1_0,X1,esk10_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,X1,X1))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( X1 = X2
| ~ apply(esk2_0,X3,X2)
| ~ apply(esk2_0,X3,X1)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk5_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
apply(esk2_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),esk7_4(esk2_0,esk3_0,esk5_0,esk4_0)),
inference(spm,[status(thm)],[c_0_12,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
member(esk7_4(esk2_0,esk3_0,esk5_0,esk4_0),esk4_0),
inference(spm,[status(thm)],[c_0_12,c_0_40]) ).
cnf(c_0_46,plain,
( apply(X1,X2,esk11_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_47,plain,
( member(esk11_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_48,negated_conjecture,
( esk10_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,esk8_4(esk2_0,esk3_0,esk5_0,esk4_0),esk8_4(esk2_0,esk3_0,esk5_0,esk4_0)) = esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)
| ~ member(esk10_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,esk8_4(esk2_0,esk3_0,esk5_0,esk4_0),esk8_4(esk2_0,esk3_0,esk5_0,esk4_0)),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_21])]) ).
cnf(c_0_49,negated_conjecture,
( member(esk10_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,X1,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_37]) ).
cnf(c_0_50,negated_conjecture,
( X1 = esk7_4(esk2_0,esk3_0,esk5_0,esk4_0)
| ~ apply(esk2_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),X1)
| ~ member(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_22])]) ).
cnf(c_0_51,negated_conjecture,
( apply(esk2_0,X1,esk11_4(esk2_0,esk5_0,esk4_0,X1))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_38]) ).
cnf(c_0_52,negated_conjecture,
( member(esk11_4(esk2_0,esk5_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_53,negated_conjecture,
( apply(esk2_0,esk10_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,X1,X1),X1)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_37]) ).
cnf(c_0_54,negated_conjecture,
esk10_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,esk8_4(esk2_0,esk3_0,esk5_0,esk4_0),esk8_4(esk2_0,esk3_0,esk5_0,esk4_0)) = esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_21])]) ).
cnf(c_0_55,negated_conjecture,
( esk11_4(esk2_0,esk5_0,esk4_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)) = esk7_4(esk2_0,esk3_0,esk5_0,esk4_0)
| ~ member(esk11_4(esk2_0,esk5_0,esk4_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_22])]) ).
cnf(c_0_56,plain,
( equal_maps(X1,X2,X3,X4)
| esk7_4(X1,X2,X3,X4) != esk8_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_57,negated_conjecture,
( X1 = esk11_4(esk2_0,esk5_0,esk4_0,X2)
| ~ apply(esk2_0,X2,X1)
| ~ member(X1,esk4_0)
| ~ member(X2,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_52]) ).
cnf(c_0_58,negated_conjecture,
apply(esk2_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0),esk8_4(esk2_0,esk3_0,esk5_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_21])]) ).
cnf(c_0_59,negated_conjecture,
esk11_4(esk2_0,esk5_0,esk4_0,esk6_4(esk2_0,esk3_0,esk5_0,esk4_0)) = esk7_4(esk2_0,esk3_0,esk5_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_22])]) ).
cnf(c_0_60,negated_conjecture,
esk8_4(esk2_0,esk3_0,esk5_0,esk4_0) != esk7_4(esk2_0,esk3_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_12,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_21]),c_0_22])]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET728+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 2400
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Oct 2 16:49:50 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.HluyP4S7k3/E---3.1_2770.p
% 0.17/0.46 # Version: 3.1pre001
% 0.17/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # new_bool_3 with pid 2849 completed with status 0
% 0.17/0.46 # Result found by new_bool_3
% 0.17/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46 # Search class: FGUSF-FFMS33-SFFFFFNN
% 0.17/0.46 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 0.17/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 0.17/0.46 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 2852 completed with status 0
% 0.17/0.46 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 0.17/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46 # Search class: FGUSF-FFMS33-SFFFFFNN
% 0.17/0.46 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 0.17/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 0.17/0.46 # Preprocessing time : 0.002 s
% 0.17/0.46 # Presaturation interreduction done
% 0.17/0.46
% 0.17/0.46 # Proof found!
% 0.17/0.46 # SZS status Theorem
% 0.17/0.46 # SZS output start CNFRefutation
% See solution above
% 0.17/0.47 # Parsed axioms : 29
% 0.17/0.47 # Removed by relevancy pruning/SinE : 24
% 0.17/0.47 # Initial clauses : 35
% 0.17/0.47 # Removed in clause preprocessing : 0
% 0.17/0.47 # Initial clauses in saturation : 35
% 0.17/0.47 # Processed clauses : 150
% 0.17/0.47 # ...of these trivial : 0
% 0.17/0.47 # ...subsumed : 3
% 0.17/0.47 # ...remaining for further processing : 147
% 0.17/0.47 # Other redundant clauses eliminated : 0
% 0.17/0.47 # Clauses deleted for lack of memory : 0
% 0.17/0.47 # Backward-subsumed : 0
% 0.17/0.47 # Backward-rewritten : 4
% 0.17/0.47 # Generated clauses : 329
% 0.17/0.47 # ...of the previous two non-redundant : 293
% 0.17/0.47 # ...aggressively subsumed : 0
% 0.17/0.47 # Contextual simplify-reflections : 3
% 0.17/0.47 # Paramodulations : 329
% 0.17/0.47 # Factorizations : 0
% 0.17/0.47 # NegExts : 0
% 0.17/0.47 # Equation resolutions : 0
% 0.17/0.47 # Total rewrite steps : 141
% 0.17/0.47 # Propositional unsat checks : 0
% 0.17/0.47 # Propositional check models : 0
% 0.17/0.47 # Propositional check unsatisfiable : 0
% 0.17/0.47 # Propositional clauses : 0
% 0.17/0.47 # Propositional clauses after purity: 0
% 0.17/0.47 # Propositional unsat core size : 0
% 0.17/0.47 # Propositional preprocessing time : 0.000
% 0.17/0.47 # Propositional encoding time : 0.000
% 0.17/0.47 # Propositional solver time : 0.000
% 0.17/0.47 # Success case prop preproc time : 0.000
% 0.17/0.47 # Success case prop encoding time : 0.000
% 0.17/0.47 # Success case prop solver time : 0.000
% 0.17/0.47 # Current number of processed clauses : 108
% 0.17/0.47 # Positive orientable unit clauses : 17
% 0.17/0.47 # Positive unorientable unit clauses: 0
% 0.17/0.47 # Negative unit clauses : 2
% 0.17/0.47 # Non-unit-clauses : 89
% 0.17/0.47 # Current number of unprocessed clauses: 207
% 0.17/0.47 # ...number of literals in the above : 1305
% 0.17/0.47 # Current number of archived formulas : 0
% 0.17/0.47 # Current number of archived clauses : 39
% 0.17/0.47 # Clause-clause subsumption calls (NU) : 2701
% 0.17/0.47 # Rec. Clause-clause subsumption calls : 629
% 0.17/0.47 # Non-unit clause-clause subsumptions : 6
% 0.17/0.47 # Unit Clause-clause subsumption calls : 22
% 0.17/0.47 # Rewrite failures with RHS unbound : 0
% 0.17/0.47 # BW rewrite match attempts : 13
% 0.17/0.47 # BW rewrite match successes : 4
% 0.17/0.47 # Condensation attempts : 0
% 0.17/0.47 # Condensation successes : 0
% 0.17/0.47 # Termbank termtop insertions : 13919
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.019 s
% 0.17/0.47 # System time : 0.001 s
% 0.17/0.47 # Total time : 0.020 s
% 0.17/0.47 # Maximum resident set size: 1896 pages
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.020 s
% 0.17/0.47 # System time : 0.002 s
% 0.17/0.47 # Total time : 0.023 s
% 0.17/0.47 # Maximum resident set size: 1744 pages
% 0.17/0.47 % E---3.1 exiting
% 0.17/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------