TSTP Solution File: SET739+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET739+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 19:20:24 EDT 2023
% Result : Theorem 0.16s 0.65s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 63 ( 10 unt; 0 def)
% Number of atoms : 358 ( 19 equ)
% Maximal formula atoms : 55 ( 5 avg)
% Number of connectives : 495 ( 200 ~; 224 |; 57 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-7 aty)
% Number of variables : 247 ( 2 sgn; 78 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII30,conjecture,
! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X1)
& injective(compose_function(X9,compose_function(X10,X6,X1,X2,X11),X1,X11,X1),X1,X1)
& surjective(compose_function(X6,compose_function(X9,X10,X2,X11,X1),X2,X1,X2),X2,X2)
& surjective(compose_function(X10,compose_function(X6,X9,X11,X1,X2),X11,X2,X11),X11,X11) )
=> one_to_one(X6,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.jp4Dand8JK/E---3.1_17697.p',thII30) ).
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.jp4Dand8JK/E---3.1_17697.p',injective) ).
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/sandbox2/tmp/tmp.jp4Dand8JK/E---3.1_17697.p',compose_function) ).
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.jp4Dand8JK/E---3.1_17697.p',maps) ).
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.jp4Dand8JK/E---3.1_17697.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.jp4Dand8JK/E---3.1_17697.p',one_to_one) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X1)
& injective(compose_function(X9,compose_function(X10,X6,X1,X2,X11),X1,X11,X1),X1,X1)
& surjective(compose_function(X6,compose_function(X9,X10,X2,X11,X1),X2,X1,X2),X2,X2)
& surjective(compose_function(X10,compose_function(X6,X9,X11,X1,X2),X11,X2,X11),X11,X11) )
=> one_to_one(X6,X1,X2) ),
inference(assume_negation,[status(cth)],[thII30]) ).
fof(c_0_7,plain,
! [X45,X46,X47,X48,X49,X50,X51,X52,X53] :
( ( ~ injective(X45,X46,X47)
| ~ member(X48,X46)
| ~ member(X49,X46)
| ~ member(X50,X47)
| ~ apply(X45,X48,X50)
| ~ apply(X45,X49,X50)
| X48 = X49 )
& ( member(esk10_3(X51,X52,X53),X52)
| injective(X51,X52,X53) )
& ( member(esk11_3(X51,X52,X53),X52)
| injective(X51,X52,X53) )
& ( member(esk12_3(X51,X52,X53),X53)
| injective(X51,X52,X53) )
& ( apply(X51,esk10_3(X51,X52,X53),esk12_3(X51,X52,X53))
| injective(X51,X52,X53) )
& ( apply(X51,esk11_3(X51,X52,X53),esk12_3(X51,X52,X53))
| injective(X51,X52,X53) )
& ( esk10_3(X51,X52,X53) != esk11_3(X51,X52,X53)
| injective(X51,X52,X53) ) ),
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)],[injective])])])])])]) ).
fof(c_0_8,negated_conjecture,
( maps(esk1_0,esk4_0,esk5_0)
& maps(esk2_0,esk5_0,esk6_0)
& maps(esk3_0,esk6_0,esk4_0)
& injective(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),esk4_0,esk4_0)
& surjective(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0)
& surjective(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0)
& ~ one_to_one(esk1_0,esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X36,X37,X38,X39,X40,X41,X42,X44] :
( ( member(esk9_7(X36,X37,X38,X39,X40,X41,X42),X39)
| ~ apply(compose_function(X36,X37,X38,X39,X40),X41,X42)
| ~ member(X41,X38)
| ~ member(X42,X40) )
& ( apply(X37,X41,esk9_7(X36,X37,X38,X39,X40,X41,X42))
| ~ apply(compose_function(X36,X37,X38,X39,X40),X41,X42)
| ~ member(X41,X38)
| ~ member(X42,X40) )
& ( apply(X36,esk9_7(X36,X37,X38,X39,X40,X41,X42),X42)
| ~ apply(compose_function(X36,X37,X38,X39,X40),X41,X42)
| ~ member(X41,X38)
| ~ member(X42,X40) )
& ( ~ member(X44,X39)
| ~ apply(X37,X41,X44)
| ~ apply(X36,X44,X42)
| apply(compose_function(X36,X37,X38,X39,X40),X41,X42)
| ~ member(X41,X38)
| ~ member(X42,X40) ) ),
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])])])])]) ).
fof(c_0_10,plain,
! [X57,X58,X59,X60,X62,X63,X64,X65,X66,X67,X69] :
( ( member(esk13_4(X57,X58,X59,X60),X59)
| ~ member(X60,X58)
| ~ maps(X57,X58,X59) )
& ( apply(X57,X60,esk13_4(X57,X58,X59,X60))
| ~ member(X60,X58)
| ~ maps(X57,X58,X59) )
& ( ~ member(X62,X58)
| ~ member(X63,X59)
| ~ member(X64,X59)
| ~ apply(X57,X62,X63)
| ~ apply(X57,X62,X64)
| X63 = X64
| ~ maps(X57,X58,X59) )
& ( member(esk15_3(X65,X66,X67),X66)
| member(esk14_3(X65,X66,X67),X66)
| maps(X65,X66,X67) )
& ( member(esk16_3(X65,X66,X67),X67)
| member(esk14_3(X65,X66,X67),X66)
| maps(X65,X66,X67) )
& ( member(esk17_3(X65,X66,X67),X67)
| member(esk14_3(X65,X66,X67),X66)
| maps(X65,X66,X67) )
& ( apply(X65,esk15_3(X65,X66,X67),esk16_3(X65,X66,X67))
| member(esk14_3(X65,X66,X67),X66)
| maps(X65,X66,X67) )
& ( apply(X65,esk15_3(X65,X66,X67),esk17_3(X65,X66,X67))
| member(esk14_3(X65,X66,X67),X66)
| maps(X65,X66,X67) )
& ( esk16_3(X65,X66,X67) != esk17_3(X65,X66,X67)
| member(esk14_3(X65,X66,X67),X66)
| maps(X65,X66,X67) )
& ( member(esk15_3(X65,X66,X67),X66)
| ~ member(X69,X67)
| ~ apply(X65,esk14_3(X65,X66,X67),X69)
| maps(X65,X66,X67) )
& ( member(esk16_3(X65,X66,X67),X67)
| ~ member(X69,X67)
| ~ apply(X65,esk14_3(X65,X66,X67),X69)
| maps(X65,X66,X67) )
& ( member(esk17_3(X65,X66,X67),X67)
| ~ member(X69,X67)
| ~ apply(X65,esk14_3(X65,X66,X67),X69)
| maps(X65,X66,X67) )
& ( apply(X65,esk15_3(X65,X66,X67),esk16_3(X65,X66,X67))
| ~ member(X69,X67)
| ~ apply(X65,esk14_3(X65,X66,X67),X69)
| maps(X65,X66,X67) )
& ( apply(X65,esk15_3(X65,X66,X67),esk17_3(X65,X66,X67))
| ~ member(X69,X67)
| ~ apply(X65,esk14_3(X65,X66,X67),X69)
| maps(X65,X66,X67) )
& ( esk16_3(X65,X66,X67) != esk17_3(X65,X66,X67)
| ~ member(X69,X67)
| ~ apply(X65,esk14_3(X65,X66,X67),X69)
| maps(X65,X66,X67) ) ),
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])])])])])]) ).
cnf(c_0_11,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_7]) ).
cnf(c_0_12,negated_conjecture,
injective(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),esk4_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( apply(compose_function(X5,X3,X7,X2,X8),X4,X6)
| ~ member(X1,X2)
| ~ apply(X3,X4,X1)
| ~ apply(X5,X1,X6)
| ~ member(X4,X7)
| ~ member(X6,X8) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( apply(X1,X2,esk13_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),X2,X3)
| ~ apply(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),X1,X3)
| ~ member(X3,esk4_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,esk13_4(X1,X7,X8,X9))
| ~ apply(X2,X6,X9)
| ~ maps(X1,X7,X8)
| ~ member(esk13_4(X1,X7,X8,X9),X5)
| ~ member(X6,X3)
| ~ member(X9,X4)
| ~ member(X9,X7) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),X1,esk13_4(esk3_0,X3,X4,X5))
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X5)
| ~ maps(esk3_0,X3,X4)
| ~ member(esk13_4(esk3_0,X3,X4,X5),esk4_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X5,esk6_0)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X3)
| ~ maps(esk3_0,X4,X5)
| ~ member(esk13_4(esk3_0,X4,X5,X3),esk4_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk6_0)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_19,plain,
( apply(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( X1 = esk11_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3)
| injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3))
| ~ maps(esk3_0,X4,X5)
| ~ member(esk13_4(esk3_0,X4,X5,esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3)),esk4_0)
| ~ member(esk11_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3),esk4_0)
| ~ member(esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3),esk6_0)
| ~ member(esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3),X4)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( apply(X1,esk10_3(X1,X2,X3),esk12_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,plain,
( injective(X1,X2,X3)
| esk10_3(X1,X2,X3) != esk11_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2)
| ~ maps(esk3_0,X3,X4)
| ~ member(esk13_4(esk3_0,X3,X4,esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2)),esk4_0)
| ~ member(esk11_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2),esk4_0)
| ~ member(esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2),esk6_0)
| ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2),esk4_0)
| ~ member(esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_24,plain,
( member(esk13_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
( injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2)
| ~ maps(esk3_0,X3,esk4_0)
| ~ member(esk11_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2),esk4_0)
| ~ member(esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2),esk6_0)
| ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2),esk4_0)
| ~ member(esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
( member(esk12_3(X1,X2,X3),X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk6_0)
| ~ maps(esk3_0,X2,esk4_0)
| ~ member(esk11_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk6_0),esk4_0)
| ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk6_0),esk4_0)
| ~ member(esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk6_0),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
maps(esk3_0,esk6_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
( injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk6_0)
| ~ member(esk11_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk6_0),esk4_0)
| ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk6_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_28])]) ).
cnf(c_0_30,plain,
( member(esk11_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_31,plain,
( member(esk10_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
fof(c_0_33,plain,
! [X26,X27,X28,X29,X31,X32,X33,X35] :
( ( member(esk7_4(X26,X27,X28,X29),X27)
| ~ member(X29,X28)
| ~ surjective(X26,X27,X28) )
& ( apply(X26,esk7_4(X26,X27,X28,X29),X29)
| ~ member(X29,X28)
| ~ surjective(X26,X27,X28) )
& ( member(esk8_3(X31,X32,X33),X33)
| surjective(X31,X32,X33) )
& ( ~ member(X35,X32)
| ~ apply(X31,X35,esk8_3(X31,X32,X33))
| surjective(X31,X32,X33) ) ),
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)],[surjective])])])])])]) ).
cnf(c_0_34,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X3)
| ~ member(X3,esk6_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_32]) ).
cnf(c_0_35,plain,
( surjective(X3,X2,X4)
| ~ member(X1,X2)
| ~ apply(X3,X1,esk8_3(X3,X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_36,plain,
( apply(X1,esk9_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_9]) ).
cnf(c_0_37,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk13_4(esk2_0,X3,X4,X5))
| ~ apply(esk1_0,X2,X5)
| ~ maps(esk2_0,X3,X4)
| ~ member(esk13_4(esk2_0,X3,X4,X5),esk6_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X5,esk5_0)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_38,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,esk8_3(X1,X2,X3))
| ~ member(esk9_7(X1,X4,X5,X6,X7,X8,esk8_3(X1,X2,X3)),X2)
| ~ member(esk8_3(X1,X2,X3),X7)
| ~ member(X8,X5) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
( member(esk9_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_9]) ).
cnf(c_0_40,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ maps(esk2_0,X4,X5)
| ~ member(esk13_4(esk2_0,X4,X5,X3),esk6_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_16]) ).
cnf(c_0_41,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X2,X6),X7,esk8_3(X1,X2,X3))
| ~ member(esk8_3(X1,X2,X3),X6)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( apply(X1,esk7_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ maps(esk2_0,X4,esk6_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_24]) ).
cnf(c_0_44,negated_conjecture,
maps(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_45,plain,
( surjective(X1,X2,X3)
| ~ surjective(compose_function(X1,X4,X5,X2,X6),X7,X8)
| ~ member(esk7_4(compose_function(X1,X4,X5,X2,X6),X7,X8,esk8_3(X1,X2,X3)),X5)
| ~ member(esk8_3(X1,X2,X3),X6)
| ~ member(esk8_3(X1,X2,X3),X8) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
( member(esk7_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk5_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,plain,
! [X23,X24,X25] :
( ( injective(X23,X24,X25)
| ~ one_to_one(X23,X24,X25) )
& ( surjective(X23,X24,X25)
| ~ one_to_one(X23,X24,X25) )
& ( ~ injective(X23,X24,X25)
| ~ surjective(X23,X24,X25)
| one_to_one(X23,X24,X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])]) ).
cnf(c_0_49,plain,
( surjective(X1,X2,X3)
| ~ surjective(compose_function(X1,X4,X5,X2,X6),X5,X7)
| ~ member(esk8_3(X1,X2,X3),X6)
| ~ member(esk8_3(X1,X2,X3),X7) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
surjective(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_51,negated_conjecture,
( X1 = esk11_3(esk1_0,X2,X3)
| injective(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,esk12_3(esk1_0,X2,X3))
| ~ member(esk11_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk12_3(esk1_0,X2,X3),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_52,negated_conjecture,
~ one_to_one(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_53,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( surjective(esk1_0,esk4_0,X1)
| ~ member(esk8_3(esk1_0,esk4_0,X1),esk5_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( member(esk8_3(X1,X2,X3),X3)
| surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_56,negated_conjecture,
( injective(esk1_0,X1,X2)
| ~ member(esk11_3(esk1_0,X1,X2),esk4_0)
| ~ member(esk12_3(esk1_0,X1,X2),esk5_0)
| ~ member(esk10_3(esk1_0,X1,X2),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_21]),c_0_22]) ).
cnf(c_0_57,negated_conjecture,
( ~ surjective(esk1_0,esk4_0,esk5_0)
| ~ injective(esk1_0,esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
surjective(esk1_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( injective(esk1_0,X1,esk5_0)
| ~ member(esk11_3(esk1_0,X1,esk5_0),esk4_0)
| ~ member(esk10_3(esk1_0,X1,esk5_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_26]) ).
cnf(c_0_60,negated_conjecture,
~ injective(esk1_0,esk4_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_61,negated_conjecture,
~ member(esk10_3(esk1_0,esk4_0,esk5_0),esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_30]),c_0_60]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_31]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET739+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n025.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 17:58:51 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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.jp4Dand8JK/E---3.1_17697.p
% 0.16/0.65 # Version: 3.1pre001
% 0.16/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.65 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.65 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.65 # Starting sh5l with 300s (1) cores
% 0.16/0.65 # new_bool_1 with pid 17779 completed with status 0
% 0.16/0.65 # Result found by new_bool_1
% 0.16/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.65 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.65 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.65 # Search class: FGUSF-FFMM33-SFFFFFNN
% 0.16/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.65 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.65 # SAT001_MinMin_p005000_rr_RG with pid 17781 completed with status 0
% 0.16/0.65 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.65 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.65 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.65 # Search class: FGUSF-FFMM33-SFFFFFNN
% 0.16/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.65 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.65 # Preprocessing time : 0.003 s
% 0.16/0.65 # Presaturation interreduction done
% 0.16/0.65
% 0.16/0.65 # Proof found!
% 0.16/0.65 # SZS status Theorem
% 0.16/0.65 # SZS output start CNFRefutation
% See solution above
% 0.16/0.65 # Parsed axioms : 29
% 0.16/0.65 # Removed by relevancy pruning/SinE : 23
% 0.16/0.65 # Initial clauses : 40
% 0.16/0.65 # Removed in clause preprocessing : 0
% 0.16/0.65 # Initial clauses in saturation : 40
% 0.16/0.65 # Processed clauses : 679
% 0.16/0.65 # ...of these trivial : 0
% 0.16/0.65 # ...subsumed : 323
% 0.16/0.65 # ...remaining for further processing : 356
% 0.16/0.65 # Other redundant clauses eliminated : 0
% 0.16/0.65 # Clauses deleted for lack of memory : 0
% 0.16/0.65 # Backward-subsumed : 21
% 0.16/0.65 # Backward-rewritten : 1
% 0.16/0.65 # Generated clauses : 2491
% 0.16/0.65 # ...of the previous two non-redundant : 2462
% 0.16/0.65 # ...aggressively subsumed : 0
% 0.16/0.65 # Contextual simplify-reflections : 8
% 0.16/0.65 # Paramodulations : 2491
% 0.16/0.65 # Factorizations : 0
% 0.16/0.65 # NegExts : 0
% 0.16/0.65 # Equation resolutions : 0
% 0.16/0.65 # Total rewrite steps : 3
% 0.16/0.65 # Propositional unsat checks : 0
% 0.16/0.65 # Propositional check models : 0
% 0.16/0.65 # Propositional check unsatisfiable : 0
% 0.16/0.65 # Propositional clauses : 0
% 0.16/0.65 # Propositional clauses after purity: 0
% 0.16/0.65 # Propositional unsat core size : 0
% 0.16/0.65 # Propositional preprocessing time : 0.000
% 0.16/0.65 # Propositional encoding time : 0.000
% 0.16/0.65 # Propositional solver time : 0.000
% 0.16/0.65 # Success case prop preproc time : 0.000
% 0.16/0.65 # Success case prop encoding time : 0.000
% 0.16/0.65 # Success case prop solver time : 0.000
% 0.16/0.65 # Current number of processed clauses : 294
% 0.16/0.65 # Positive orientable unit clauses : 9
% 0.16/0.65 # Positive unorientable unit clauses: 0
% 0.16/0.65 # Negative unit clauses : 3
% 0.16/0.65 # Non-unit-clauses : 282
% 0.16/0.65 # Current number of unprocessed clauses: 1843
% 0.16/0.65 # ...number of literals in the above : 21899
% 0.16/0.65 # Current number of archived formulas : 0
% 0.16/0.65 # Current number of archived clauses : 62
% 0.16/0.65 # Clause-clause subsumption calls (NU) : 50880
% 0.16/0.65 # Rec. Clause-clause subsumption calls : 2469
% 0.16/0.65 # Non-unit clause-clause subsumptions : 352
% 0.16/0.65 # Unit Clause-clause subsumption calls : 360
% 0.16/0.65 # Rewrite failures with RHS unbound : 0
% 0.16/0.65 # BW rewrite match attempts : 3
% 0.16/0.65 # BW rewrite match successes : 1
% 0.16/0.65 # Condensation attempts : 0
% 0.16/0.65 # Condensation successes : 0
% 0.16/0.65 # Termbank termtop insertions : 160093
% 0.16/0.65
% 0.16/0.65 # -------------------------------------------------
% 0.16/0.65 # User time : 0.191 s
% 0.16/0.65 # System time : 0.008 s
% 0.16/0.65 # Total time : 0.198 s
% 0.16/0.65 # Maximum resident set size: 1896 pages
% 0.16/0.65
% 0.16/0.65 # -------------------------------------------------
% 0.16/0.65 # User time : 0.194 s
% 0.16/0.65 # System time : 0.009 s
% 0.16/0.65 # Total time : 0.202 s
% 0.16/0.65 # Maximum resident set size: 1744 pages
% 0.16/0.65 % E---3.1 exiting
% 0.16/0.65 % E---3.1 exiting
%------------------------------------------------------------------------------