TSTP Solution File: SET744+4 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET744+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 7.28s 1.45s
% Output : CNFRefutation 7.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 111 ( 21 unt; 0 def)
% Number of atoms : 404 ( 40 equ)
% Maximal formula atoms : 55 ( 3 avg)
% Number of connectives : 487 ( 194 ~; 225 |; 54 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 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 : 219 ( 0 sgn; 78 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII35,conjecture,
! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X1)
& one_to_one(compose_function(X10,X6,X1,X2,X11),X1,X11)
& one_to_one(compose_function(X9,X10,X2,X11,X1),X2,X1) )
=> one_to_one(X9,X11,X1) ),
file('/export/starexec/sandbox/tmp/tmp.f0z5wlh5rS/E---3.1_13313.p',thII35) ).
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/sandbox/tmp/tmp.f0z5wlh5rS/E---3.1_13313.p',one_to_one) ).
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/sandbox/tmp/tmp.f0z5wlh5rS/E---3.1_13313.p',surjective) ).
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/sandbox/tmp/tmp.f0z5wlh5rS/E---3.1_13313.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/sandbox/tmp/tmp.f0z5wlh5rS/E---3.1_13313.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/sandbox/tmp/tmp.f0z5wlh5rS/E---3.1_13313.p',maps) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X1)
& one_to_one(compose_function(X10,X6,X1,X2,X11),X1,X11)
& one_to_one(compose_function(X9,X10,X2,X11,X1),X2,X1) )
=> one_to_one(X9,X11,X1) ),
inference(assume_negation,[status(cth)],[thII35]) ).
fof(c_0_7,negated_conjecture,
( maps(esk1_0,esk4_0,esk5_0)
& maps(esk2_0,esk5_0,esk6_0)
& maps(esk3_0,esk6_0,esk4_0)
& one_to_one(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
& one_to_one(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0)
& ~ one_to_one(esk3_0,esk6_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,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_9,negated_conjecture,
~ one_to_one(esk3_0,esk6_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X69,X70,X71,X72,X74,X75,X76,X78] :
( ( member(esk17_4(X69,X70,X71,X72),X70)
| ~ member(X72,X71)
| ~ surjective(X69,X70,X71) )
& ( apply(X69,esk17_4(X69,X70,X71,X72),X72)
| ~ member(X72,X71)
| ~ surjective(X69,X70,X71) )
& ( member(esk18_3(X74,X75,X76),X76)
| surjective(X74,X75,X76) )
& ( ~ member(X78,X75)
| ~ apply(X74,X78,esk18_3(X74,X75,X76))
| surjective(X74,X75,X76) ) ),
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_12,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
one_to_one(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( ~ surjective(esk3_0,esk6_0,esk4_0)
| ~ injective(esk3_0,esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( surjective(X3,X2,X4)
| ~ member(X1,X2)
| ~ apply(X3,X1,esk18_3(X3,X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X79,X80,X81,X82,X83,X84,X85,X86,X87] :
( ( ~ injective(X79,X80,X81)
| ~ member(X82,X80)
| ~ member(X83,X80)
| ~ member(X84,X81)
| ~ apply(X79,X82,X84)
| ~ apply(X79,X83,X84)
| X82 = X83 )
& ( member(esk19_3(X85,X86,X87),X86)
| injective(X85,X86,X87) )
& ( member(esk20_3(X85,X86,X87),X86)
| injective(X85,X86,X87) )
& ( member(esk21_3(X85,X86,X87),X87)
| injective(X85,X86,X87) )
& ( apply(X85,esk19_3(X85,X86,X87),esk21_3(X85,X86,X87))
| injective(X85,X86,X87) )
& ( apply(X85,esk20_3(X85,X86,X87),esk21_3(X85,X86,X87))
| injective(X85,X86,X87) )
& ( esk19_3(X85,X86,X87) != esk20_3(X85,X86,X87)
| injective(X85,X86,X87) ) ),
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_17,plain,
! [X44,X45,X46,X47,X48,X49,X50,X52] :
( ( member(esk11_7(X44,X45,X46,X47,X48,X49,X50),X47)
| ~ apply(compose_function(X44,X45,X46,X47,X48),X49,X50)
| ~ member(X49,X46)
| ~ member(X50,X48) )
& ( apply(X45,X49,esk11_7(X44,X45,X46,X47,X48,X49,X50))
| ~ apply(compose_function(X44,X45,X46,X47,X48),X49,X50)
| ~ member(X49,X46)
| ~ member(X50,X48) )
& ( apply(X44,esk11_7(X44,X45,X46,X47,X48,X49,X50),X50)
| ~ apply(compose_function(X44,X45,X46,X47,X48),X49,X50)
| ~ member(X49,X46)
| ~ member(X50,X48) )
& ( ~ member(X52,X47)
| ~ apply(X45,X49,X52)
| ~ apply(X44,X52,X50)
| apply(compose_function(X44,X45,X46,X47,X48),X49,X50)
| ~ member(X49,X46)
| ~ member(X50,X48) ) ),
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_18,plain,
( apply(X1,esk17_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
surjective(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
( member(esk17_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( member(esk18_3(X1,X2,X3),X3)
| surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
( ~ injective(esk3_0,esk6_0,esk4_0)
| ~ apply(esk3_0,X1,esk18_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,plain,
( member(esk21_3(X1,X2,X3),X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( apply(X1,esk11_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_17]) ).
cnf(c_0_25,negated_conjecture,
( apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,X1),X1)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( member(esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0)
| ~ injective(esk3_0,esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_28,plain,
( member(esk19_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_29,plain,
! [X53,X54,X55,X56,X58,X59,X60,X61,X62,X63,X65] :
( ( member(esk12_4(X53,X54,X55,X56),X55)
| ~ member(X56,X54)
| ~ maps(X53,X54,X55) )
& ( apply(X53,X56,esk12_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(esk14_3(X61,X62,X63),X62)
| member(esk13_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( member(esk15_3(X61,X62,X63),X63)
| member(esk13_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( member(esk16_3(X61,X62,X63),X63)
| member(esk13_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( apply(X61,esk14_3(X61,X62,X63),esk15_3(X61,X62,X63))
| member(esk13_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( apply(X61,esk14_3(X61,X62,X63),esk16_3(X61,X62,X63))
| member(esk13_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( esk15_3(X61,X62,X63) != esk16_3(X61,X62,X63)
| member(esk13_3(X61,X62,X63),X62)
| maps(X61,X62,X63) )
& ( member(esk14_3(X61,X62,X63),X62)
| ~ member(X65,X63)
| ~ apply(X61,esk13_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( member(esk15_3(X61,X62,X63),X63)
| ~ member(X65,X63)
| ~ apply(X61,esk13_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( member(esk16_3(X61,X62,X63),X63)
| ~ member(X65,X63)
| ~ apply(X61,esk13_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( apply(X61,esk14_3(X61,X62,X63),esk15_3(X61,X62,X63))
| ~ member(X65,X63)
| ~ apply(X61,esk13_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( apply(X61,esk14_3(X61,X62,X63),esk16_3(X61,X62,X63))
| ~ member(X65,X63)
| ~ apply(X61,esk13_3(X61,X62,X63),X65)
| maps(X61,X62,X63) )
& ( esk15_3(X61,X62,X63) != esk16_3(X61,X62,X63)
| ~ member(X65,X63)
| ~ apply(X61,esk13_3(X61,X62,X63),X65)
| maps(X61,X62,X63) ) ),
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_30,plain,
( member(esk20_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,plain,
( apply(X1,esk19_3(X1,X2,X3),esk21_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( member(esk21_3(esk3_0,esk6_0,esk4_0),esk4_0)
| ~ apply(esk3_0,X1,esk18_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( apply(esk3_0,esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,X1),X1),X1)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_34,negated_conjecture,
( member(esk21_3(esk3_0,esk6_0,esk4_0),esk4_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_35,plain,
( member(esk11_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_17]) ).
cnf(c_0_36,negated_conjecture,
( member(esk19_3(esk3_0,esk6_0,esk4_0),esk6_0)
| ~ apply(esk3_0,X1,esk18_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
( member(esk19_3(esk3_0,esk6_0,esk4_0),esk6_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,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_29]) ).
cnf(c_0_39,negated_conjecture,
maps(esk3_0,esk6_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_40,plain,
( apply(X1,esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_41,negated_conjecture,
( member(esk20_3(esk3_0,esk6_0,esk4_0),esk6_0)
| ~ apply(esk3_0,X1,esk18_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_42,negated_conjecture,
( member(esk20_3(esk3_0,esk6_0,esk4_0),esk6_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_43,negated_conjecture,
( apply(esk3_0,esk19_3(esk3_0,esk6_0,esk4_0),esk21_3(esk3_0,esk6_0,esk4_0))
| ~ apply(esk3_0,X1,esk18_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_31]) ).
cnf(c_0_44,negated_conjecture,
( apply(esk3_0,esk19_3(esk3_0,esk6_0,esk4_0),esk21_3(esk3_0,esk6_0,esk4_0))
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_31]) ).
cnf(c_0_45,negated_conjecture,
( member(esk21_3(esk3_0,esk6_0,esk4_0),esk4_0)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_46,negated_conjecture,
( member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,X1),X1),esk6_0)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_25]),c_0_26]) ).
cnf(c_0_47,negated_conjecture,
( member(esk19_3(esk3_0,esk6_0,esk4_0),esk6_0)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_33]),c_0_37]) ).
cnf(c_0_48,negated_conjecture,
( X1 = X2
| ~ apply(esk3_0,X3,X2)
| ~ apply(esk3_0,X3,X1)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk6_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,plain,
( apply(X1,X2,esk12_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_50,negated_conjecture,
( apply(esk3_0,esk20_3(esk3_0,esk6_0,esk4_0),esk21_3(esk3_0,esk6_0,esk4_0))
| ~ apply(esk3_0,X1,esk18_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_40]) ).
cnf(c_0_51,negated_conjecture,
( apply(esk3_0,esk20_3(esk3_0,esk6_0,esk4_0),esk21_3(esk3_0,esk6_0,esk4_0))
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( member(esk20_3(esk3_0,esk6_0,esk4_0),esk6_0)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( apply(esk3_0,esk19_3(esk3_0,esk6_0,esk4_0),esk21_3(esk3_0,esk6_0,esk4_0))
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_33]),c_0_44]) ).
cnf(c_0_54,negated_conjecture,
member(esk21_3(esk3_0,esk6_0,esk4_0),esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_34]) ).
cnf(c_0_55,negated_conjecture,
member(esk19_3(esk3_0,esk6_0,esk4_0),esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_46]),c_0_37]) ).
cnf(c_0_56,negated_conjecture,
( X1 = esk21_3(esk3_0,esk6_0,esk4_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0)
| ~ apply(esk3_0,esk19_3(esk3_0,esk6_0,esk4_0),X1)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_37]),c_0_34]) ).
cnf(c_0_57,negated_conjecture,
( apply(esk3_0,X1,esk12_4(esk3_0,esk6_0,esk4_0,X1))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_39]) ).
cnf(c_0_58,plain,
( member(esk12_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_59,negated_conjecture,
( apply(esk3_0,esk20_3(esk3_0,esk6_0,esk4_0),esk21_3(esk3_0,esk6_0,esk4_0))
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_51]) ).
cnf(c_0_60,negated_conjecture,
member(esk20_3(esk3_0,esk6_0,esk4_0),esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_42]) ).
cnf(c_0_61,negated_conjecture,
( X1 = esk21_3(esk3_0,esk6_0,esk4_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0)
| ~ apply(esk3_0,esk20_3(esk3_0,esk6_0,esk4_0),X1)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_51]),c_0_42]),c_0_34]) ).
cnf(c_0_62,negated_conjecture,
( X1 = esk21_3(esk3_0,esk6_0,esk4_0)
| ~ apply(esk3_0,esk19_3(esk3_0,esk6_0,esk4_0),X1)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0)
| ~ member(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_63,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk4_0,esk19_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0)
| ~ member(esk12_4(esk3_0,esk6_0,esk4_0,esk19_3(esk3_0,esk6_0,esk4_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_37]) ).
cnf(c_0_64,negated_conjecture,
( member(esk12_4(esk3_0,esk6_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_39]) ).
cnf(c_0_65,negated_conjecture,
( X1 = esk21_3(esk3_0,esk6_0,esk4_0)
| ~ apply(esk3_0,esk20_3(esk3_0,esk6_0,esk4_0),X1)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0)
| ~ member(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_59]),c_0_54]),c_0_60])]) ).
cnf(c_0_66,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk4_0,esk20_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0)
| ~ member(esk12_4(esk3_0,esk6_0,esk4_0,esk20_3(esk3_0,esk6_0,esk4_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_57]),c_0_42]) ).
cnf(c_0_67,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_68,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk4_0,esk19_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0)
| ~ member(esk12_4(esk3_0,esk6_0,esk4_0,esk19_3(esk3_0,esk6_0,esk4_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_57]),c_0_55])]) ).
cnf(c_0_69,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk4_0,esk19_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_37]) ).
cnf(c_0_70,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk4_0,esk20_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0)
| ~ member(esk12_4(esk3_0,esk6_0,esk4_0,esk20_3(esk3_0,esk6_0,esk4_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_57]),c_0_60])]) ).
cnf(c_0_71,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk4_0,esk20_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0)
| member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_64]),c_0_42]) ).
cnf(c_0_72,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_16]) ).
cnf(c_0_73,negated_conjecture,
injective(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_67,c_0_13]) ).
cnf(c_0_74,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_17]) ).
cnf(c_0_75,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk4_0,esk19_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0)
| ~ member(esk12_4(esk3_0,esk6_0,esk4_0,esk19_3(esk3_0,esk6_0,esk4_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_46]),c_0_69]) ).
cnf(c_0_76,negated_conjecture,
one_to_one(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_77,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk4_0,esk20_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0)
| ~ member(esk12_4(esk3_0,esk6_0,esk4_0,esk20_3(esk3_0,esk6_0,esk4_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_46]),c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X2,X3)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X1,X3)
| ~ member(X3,esk4_0)
| ~ member(X2,esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( apply(compose_function(esk3_0,X1,X2,X3,X4),X5,esk12_4(esk3_0,esk6_0,esk4_0,X6))
| ~ apply(X1,X5,X6)
| ~ member(esk12_4(esk3_0,esk6_0,esk4_0,X6),X4)
| ~ member(X6,esk6_0)
| ~ member(X5,X2)
| ~ member(X6,X3) ),
inference(spm,[status(thm)],[c_0_74,c_0_57]) ).
cnf(c_0_80,negated_conjecture,
esk12_4(esk3_0,esk6_0,esk4_0,esk19_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_64]),c_0_55])]) ).
cnf(c_0_81,negated_conjecture,
surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_12,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
esk12_4(esk3_0,esk6_0,esk4_0,esk20_3(esk3_0,esk6_0,esk4_0)) = esk21_3(esk3_0,esk6_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_64]),c_0_60])]) ).
cnf(c_0_83,negated_conjecture,
( X1 = esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,X2)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X1,X2)
| ~ member(X2,esk4_0)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_25]),c_0_26]) ).
cnf(c_0_84,negated_conjecture,
( apply(compose_function(esk3_0,X1,X2,X3,X4),X5,esk21_3(esk3_0,esk6_0,esk4_0))
| ~ apply(X1,X5,esk19_3(esk3_0,esk6_0,esk4_0))
| ~ member(esk21_3(esk3_0,esk6_0,esk4_0),X4)
| ~ member(esk19_3(esk3_0,esk6_0,esk4_0),X3)
| ~ member(X5,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_55])]) ).
cnf(c_0_85,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X1),X1)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( member(esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X1),esk4_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( apply(compose_function(esk3_0,X1,X2,X3,X4),X5,esk21_3(esk3_0,esk6_0,esk4_0))
| ~ apply(X1,X5,esk20_3(esk3_0,esk6_0,esk4_0))
| ~ member(esk21_3(esk3_0,esk6_0,esk4_0),X4)
| ~ member(esk20_3(esk3_0,esk6_0,esk4_0),X3)
| ~ member(X5,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_82]),c_0_60])]) ).
cnf(c_0_88,negated_conjecture,
( X1 = esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0))
| ~ apply(esk2_0,X1,esk19_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_54]),c_0_55])]) ).
cnf(c_0_89,negated_conjecture,
( apply(esk2_0,esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X1),X1),X1)
| ~ member(X1,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_85]),c_0_86]) ).
cnf(c_0_90,negated_conjecture,
( X1 = esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0))
| ~ apply(esk2_0,X1,esk20_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_87]),c_0_54]),c_0_60])]) ).
cnf(c_0_91,negated_conjecture,
maps(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_92,negated_conjecture,
( esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk19_3(esk3_0,esk6_0,esk4_0)),esk19_3(esk3_0,esk6_0,esk4_0)) = esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0))
| ~ member(esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk19_3(esk3_0,esk6_0,esk4_0)),esk19_3(esk3_0,esk6_0,esk4_0)),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_55])]) ).
cnf(c_0_93,negated_conjecture,
( member(esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X1),X1),esk5_0)
| ~ member(X1,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_85]),c_0_86]) ).
cnf(c_0_94,plain,
( injective(X1,X2,X3)
| esk19_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_95,negated_conjecture,
( esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk20_3(esk3_0,esk6_0,esk4_0)),esk20_3(esk3_0,esk6_0,esk4_0)) = esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0))
| ~ member(esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk20_3(esk3_0,esk6_0,esk4_0)),esk20_3(esk3_0,esk6_0,esk4_0)),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_89]),c_0_60])]) ).
cnf(c_0_96,negated_conjecture,
( X1 = X2
| ~ apply(esk2_0,X3,X2)
| ~ apply(esk2_0,X3,X1)
| ~ member(X2,esk6_0)
| ~ member(X1,esk6_0)
| ~ member(X3,esk5_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( apply(esk2_0,X1,esk12_4(esk2_0,esk5_0,esk6_0,X1))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( member(esk12_4(esk2_0,esk5_0,esk6_0,X1),esk6_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_91]) ).
cnf(c_0_99,negated_conjecture,
esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk19_3(esk3_0,esk6_0,esk4_0)),esk19_3(esk3_0,esk6_0,esk4_0)) = esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_55])]) ).
cnf(c_0_100,negated_conjecture,
( esk20_3(esk3_0,esk6_0,esk4_0) != esk19_3(esk3_0,esk6_0,esk4_0)
| ~ apply(esk3_0,X1,esk18_3(esk3_0,esk6_0,esk4_0))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
( member(esk18_3(esk3_0,esk6_0,esk4_0),esk4_0)
| esk20_3(esk3_0,esk6_0,esk4_0) != esk19_3(esk3_0,esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk17_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk20_3(esk3_0,esk6_0,esk4_0)),esk20_3(esk3_0,esk6_0,esk4_0)) = esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_93]),c_0_60])]) ).
cnf(c_0_103,negated_conjecture,
( X1 = esk12_4(esk2_0,esk5_0,esk6_0,X2)
| ~ apply(esk2_0,X2,X1)
| ~ member(X1,esk6_0)
| ~ member(X2,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_104,negated_conjecture,
apply(esk2_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0)),esk19_3(esk3_0,esk6_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_99]),c_0_55])]) ).
cnf(c_0_105,negated_conjecture,
member(esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0)),esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_99]),c_0_55])]) ).
cnf(c_0_106,negated_conjecture,
( esk20_3(esk3_0,esk6_0,esk4_0) != esk19_3(esk3_0,esk6_0,esk4_0)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk18_3(esk3_0,esk6_0,esk4_0)),esk18_3(esk3_0,esk6_0,esk4_0)),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_33]),c_0_101]) ).
cnf(c_0_107,negated_conjecture,
apply(esk2_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0)),esk20_3(esk3_0,esk6_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_102]),c_0_60])]) ).
cnf(c_0_108,negated_conjecture,
esk12_4(esk2_0,esk5_0,esk6_0,esk17_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk21_3(esk3_0,esk6_0,esk4_0))) = esk19_3(esk3_0,esk6_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_55]),c_0_105])]) ).
cnf(c_0_109,negated_conjecture,
esk20_3(esk3_0,esk6_0,esk4_0) != esk19_3(esk3_0,esk6_0,esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_46]),c_0_101]) ).
cnf(c_0_110,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_103,c_0_107]),c_0_108]),c_0_60]),c_0_105])]),c_0_109]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET744+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 17:24:06 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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.f0z5wlh5rS/E---3.1_13313.p
% 7.28/1.45 # Version: 3.1pre001
% 7.28/1.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.28/1.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.28/1.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.28/1.45 # Starting new_bool_3 with 300s (1) cores
% 7.28/1.45 # Starting new_bool_1 with 300s (1) cores
% 7.28/1.45 # Starting sh5l with 300s (1) cores
% 7.28/1.45 # sh5l with pid 13426 completed with status 0
% 7.28/1.45 # Result found by sh5l
% 7.28/1.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.28/1.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.28/1.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.28/1.45 # Starting new_bool_3 with 300s (1) cores
% 7.28/1.45 # Starting new_bool_1 with 300s (1) cores
% 7.28/1.45 # Starting sh5l with 300s (1) cores
% 7.28/1.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 7.28/1.45 # Search class: FGUSF-FFMS33-SFFFFFNN
% 7.28/1.45 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 7.28/1.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 7.28/1.45 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 135s (1) cores
% 7.28/1.45 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 13430 completed with status 0
% 7.28/1.45 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 7.28/1.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.28/1.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.28/1.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.28/1.45 # Starting new_bool_3 with 300s (1) cores
% 7.28/1.45 # Starting new_bool_1 with 300s (1) cores
% 7.28/1.45 # Starting sh5l with 300s (1) cores
% 7.28/1.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 7.28/1.45 # Search class: FGUSF-FFMS33-SFFFFFNN
% 7.28/1.45 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 7.28/1.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 7.28/1.45 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 135s (1) cores
% 7.28/1.45 # Preprocessing time : 0.003 s
% 7.28/1.45 # Presaturation interreduction done
% 7.28/1.45
% 7.28/1.45 # Proof found!
% 7.28/1.45 # SZS status Theorem
% 7.28/1.45 # SZS output start CNFRefutation
% See solution above
% 7.28/1.45 # Parsed axioms : 29
% 7.28/1.45 # Removed by relevancy pruning/SinE : 22
% 7.28/1.45 # Initial clauses : 51
% 7.28/1.45 # Removed in clause preprocessing : 0
% 7.28/1.45 # Initial clauses in saturation : 51
% 7.28/1.45 # Processed clauses : 2848
% 7.28/1.45 # ...of these trivial : 17
% 7.28/1.45 # ...subsumed : 1420
% 7.28/1.45 # ...remaining for further processing : 1411
% 7.28/1.45 # Other redundant clauses eliminated : 0
% 7.28/1.45 # Clauses deleted for lack of memory : 0
% 7.28/1.45 # Backward-subsumed : 136
% 7.28/1.45 # Backward-rewritten : 41
% 7.28/1.45 # Generated clauses : 18367
% 7.28/1.45 # ...of the previous two non-redundant : 17932
% 7.28/1.45 # ...aggressively subsumed : 0
% 7.28/1.45 # Contextual simplify-reflections : 92
% 7.28/1.45 # Paramodulations : 18367
% 7.28/1.45 # Factorizations : 0
% 7.28/1.45 # NegExts : 0
% 7.28/1.45 # Equation resolutions : 0
% 7.28/1.45 # Total rewrite steps : 1358
% 7.28/1.45 # Propositional unsat checks : 0
% 7.28/1.45 # Propositional check models : 0
% 7.28/1.45 # Propositional check unsatisfiable : 0
% 7.28/1.45 # Propositional clauses : 0
% 7.28/1.45 # Propositional clauses after purity: 0
% 7.28/1.45 # Propositional unsat core size : 0
% 7.28/1.45 # Propositional preprocessing time : 0.000
% 7.28/1.45 # Propositional encoding time : 0.000
% 7.28/1.45 # Propositional solver time : 0.000
% 7.28/1.45 # Success case prop preproc time : 0.000
% 7.28/1.45 # Success case prop encoding time : 0.000
% 7.28/1.45 # Success case prop solver time : 0.000
% 7.28/1.45 # Current number of processed clauses : 1183
% 7.28/1.45 # Positive orientable unit clauses : 33
% 7.28/1.45 # Positive unorientable unit clauses: 0
% 7.28/1.45 # Negative unit clauses : 3
% 7.28/1.45 # Non-unit-clauses : 1147
% 7.28/1.45 # Current number of unprocessed clauses: 15085
% 7.28/1.45 # ...number of literals in the above : 116177
% 7.28/1.45 # Current number of archived formulas : 0
% 7.28/1.45 # Current number of archived clauses : 228
% 7.28/1.45 # Clause-clause subsumption calls (NU) : 202815
% 7.28/1.45 # Rec. Clause-clause subsumption calls : 26954
% 7.28/1.45 # Non-unit clause-clause subsumptions : 1633
% 7.28/1.45 # Unit Clause-clause subsumption calls : 2804
% 7.28/1.45 # Rewrite failures with RHS unbound : 0
% 7.28/1.45 # BW rewrite match attempts : 390
% 7.28/1.45 # BW rewrite match successes : 14
% 7.28/1.45 # Condensation attempts : 0
% 7.28/1.45 # Condensation successes : 0
% 7.28/1.45 # Termbank termtop insertions : 841957
% 7.28/1.45
% 7.28/1.45 # -------------------------------------------------
% 7.28/1.45 # User time : 0.871 s
% 7.28/1.45 # System time : 0.020 s
% 7.28/1.45 # Total time : 0.892 s
% 7.28/1.45 # Maximum resident set size: 1900 pages
% 7.28/1.45
% 7.28/1.45 # -------------------------------------------------
% 7.28/1.45 # User time : 0.872 s
% 7.28/1.45 # System time : 0.024 s
% 7.28/1.45 # Total time : 0.896 s
% 7.28/1.45 # Maximum resident set size: 1740 pages
% 7.28/1.45 % E---3.1 exiting
% 7.28/1.45 % E---3.1 exiting
%------------------------------------------------------------------------------