TSTP Solution File: SET729+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET729+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 19:23:29 EDT 2023
% Result : Theorem 11.89s 1.93s
% Output : CNFRefutation 11.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 9
% Syntax : Number of formulae : 145 ( 9 unt; 0 def)
% Number of atoms : 858 ( 44 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 1228 ( 515 ~; 617 |; 72 &)
% ( 12 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-5 aty)
% Number of functors : 21 ( 21 usr; 2 con; 0-7 aty)
% Number of variables : 553 ( 1 sgn; 117 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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.JYhXLjgir3/E---3.1_14757.p',maps) ).
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.JYhXLjgir3/E---3.1_14757.p',compose_function) ).
fof(thII20,conjecture,
! [X6,X1] :
( maps(X6,X1,X1)
=> ( ( one_to_one(X6,X1,X1)
& inverse_predicate(X6,X6,X1,X1) )
<=> identity(compose_function(X6,X6,X1,X1,X1),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.JYhXLjgir3/E---3.1_14757.p',thII20) ).
fof(identity,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.JYhXLjgir3/E---3.1_14757.p',identity) ).
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.JYhXLjgir3/E---3.1_14757.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.JYhXLjgir3/E---3.1_14757.p',injective) ).
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.JYhXLjgir3/E---3.1_14757.p',one_to_one) ).
fof(isomorphism,axiom,
! [X6,X1,X15,X2,X16] :
( isomorphism(X6,X1,X15,X2,X16)
<=> ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2)
& ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> ( apply(X15,X13,X14)
<=> apply(X16,X7,X8) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JYhXLjgir3/E---3.1_14757.p',isomorphism) ).
fof(inverse_predicate,axiom,
! [X10,X6,X1,X2] :
( inverse_predicate(X10,X6,X1,X2)
<=> ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X2) )
=> ( apply(X6,X3,X5)
<=> apply(X10,X5,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JYhXLjgir3/E---3.1_14757.p',inverse_predicate) ).
fof(c_0_9,plain,
! [X67,X68,X69,X70,X72,X73,X74,X75,X76,X77,X79] :
( ( member(esk11_4(X67,X68,X69,X70),X69)
| ~ member(X70,X68)
| ~ maps(X67,X68,X69) )
& ( apply(X67,X70,esk11_4(X67,X68,X69,X70))
| ~ member(X70,X68)
| ~ maps(X67,X68,X69) )
& ( ~ member(X72,X68)
| ~ member(X73,X69)
| ~ member(X74,X69)
| ~ apply(X67,X72,X73)
| ~ apply(X67,X72,X74)
| X73 = X74
| ~ maps(X67,X68,X69) )
& ( member(esk13_3(X75,X76,X77),X76)
| member(esk12_3(X75,X76,X77),X76)
| maps(X75,X76,X77) )
& ( member(esk14_3(X75,X76,X77),X77)
| member(esk12_3(X75,X76,X77),X76)
| maps(X75,X76,X77) )
& ( member(esk15_3(X75,X76,X77),X77)
| member(esk12_3(X75,X76,X77),X76)
| maps(X75,X76,X77) )
& ( apply(X75,esk13_3(X75,X76,X77),esk14_3(X75,X76,X77))
| member(esk12_3(X75,X76,X77),X76)
| maps(X75,X76,X77) )
& ( apply(X75,esk13_3(X75,X76,X77),esk15_3(X75,X76,X77))
| member(esk12_3(X75,X76,X77),X76)
| maps(X75,X76,X77) )
& ( esk14_3(X75,X76,X77) != esk15_3(X75,X76,X77)
| member(esk12_3(X75,X76,X77),X76)
| maps(X75,X76,X77) )
& ( member(esk13_3(X75,X76,X77),X76)
| ~ member(X79,X77)
| ~ apply(X75,esk12_3(X75,X76,X77),X79)
| maps(X75,X76,X77) )
& ( member(esk14_3(X75,X76,X77),X77)
| ~ member(X79,X77)
| ~ apply(X75,esk12_3(X75,X76,X77),X79)
| maps(X75,X76,X77) )
& ( member(esk15_3(X75,X76,X77),X77)
| ~ member(X79,X77)
| ~ apply(X75,esk12_3(X75,X76,X77),X79)
| maps(X75,X76,X77) )
& ( apply(X75,esk13_3(X75,X76,X77),esk14_3(X75,X76,X77))
| ~ member(X79,X77)
| ~ apply(X75,esk12_3(X75,X76,X77),X79)
| maps(X75,X76,X77) )
& ( apply(X75,esk13_3(X75,X76,X77),esk15_3(X75,X76,X77))
| ~ member(X79,X77)
| ~ apply(X75,esk12_3(X75,X76,X77),X79)
| maps(X75,X76,X77) )
& ( esk14_3(X75,X76,X77) != esk15_3(X75,X76,X77)
| ~ member(X79,X77)
| ~ apply(X75,esk12_3(X75,X76,X77),X79)
| maps(X75,X76,X77) ) ),
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_10,plain,
! [X25,X26,X27,X28,X29,X30,X31,X33] :
( ( member(esk4_7(X25,X26,X27,X28,X29,X30,X31),X28)
| ~ apply(compose_function(X25,X26,X27,X28,X29),X30,X31)
| ~ member(X30,X27)
| ~ member(X31,X29) )
& ( apply(X26,X30,esk4_7(X25,X26,X27,X28,X29,X30,X31))
| ~ apply(compose_function(X25,X26,X27,X28,X29),X30,X31)
| ~ member(X30,X27)
| ~ member(X31,X29) )
& ( apply(X25,esk4_7(X25,X26,X27,X28,X29,X30,X31),X31)
| ~ apply(compose_function(X25,X26,X27,X28,X29),X30,X31)
| ~ member(X30,X27)
| ~ member(X31,X29) )
& ( ~ member(X33,X28)
| ~ apply(X26,X30,X33)
| ~ apply(X25,X33,X31)
| apply(compose_function(X25,X26,X27,X28,X29),X30,X31)
| ~ member(X30,X27)
| ~ member(X31,X29) ) ),
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_11,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_9]) ).
cnf(c_0_12,plain,
( apply(X1,X2,esk4_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_10]) ).
cnf(c_0_13,plain,
( X1 = esk4_7(X2,X3,X4,X5,X6,X7,X8)
| ~ apply(compose_function(X2,X3,X4,X5,X6),X7,X8)
| ~ apply(X3,X7,X1)
| ~ maps(X3,X9,X10)
| ~ member(esk4_7(X2,X3,X4,X5,X6,X7,X8),X10)
| ~ member(X1,X10)
| ~ member(X7,X9)
| ~ member(X8,X6)
| ~ member(X7,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
( member(esk4_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_10]) ).
cnf(c_0_15,plain,
( X1 = esk4_7(X2,X3,X4,X5,X6,X7,X8)
| ~ apply(compose_function(X2,X3,X4,X5,X6),X7,X8)
| ~ apply(X3,X7,X1)
| ~ maps(X3,X9,X5)
| ~ member(X1,X5)
| ~ member(X7,X9)
| ~ member(X8,X6)
| ~ member(X7,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( apply(X1,X2,esk11_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_17,negated_conjecture,
~ ! [X6,X1] :
( maps(X6,X1,X1)
=> ( ( one_to_one(X6,X1,X1)
& inverse_predicate(X6,X6,X1,X1) )
<=> identity(compose_function(X6,X6,X1,X1,X1),X1) ) ),
inference(assume_negation,[status(cth)],[thII20]) ).
cnf(c_0_18,plain,
( esk11_4(X1,X2,X3,X4) = esk4_7(X5,X1,X6,X7,X8,X4,X9)
| ~ apply(compose_function(X5,X1,X6,X7,X8),X4,X9)
| ~ maps(X1,X10,X7)
| ~ maps(X1,X2,X3)
| ~ member(esk11_4(X1,X2,X3,X4),X7)
| ~ member(X4,X10)
| ~ member(X9,X8)
| ~ member(X4,X6)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( member(esk11_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_20,negated_conjecture,
( maps(esk1_0,esk2_0,esk2_0)
& ( ~ one_to_one(esk1_0,esk2_0,esk2_0)
| ~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) )
& ( one_to_one(esk1_0,esk2_0,esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) )
& ( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_21,plain,
( esk11_4(X1,X2,X3,X4) = esk4_7(X5,X1,X6,X3,X7,X4,X8)
| ~ apply(compose_function(X5,X1,X6,X3,X7),X4,X8)
| ~ maps(X1,X9,X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X9)
| ~ member(X8,X7)
| ~ member(X4,X6)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
maps(esk1_0,esk2_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
! [X19,X20,X21,X22,X23] :
( ( ~ identity(X19,X20)
| ~ member(X21,X20)
| apply(X19,X21,X21) )
& ( member(esk3_2(X22,X23),X23)
| identity(X22,X23) )
& ( ~ apply(X22,esk3_2(X22,X23),esk3_2(X22,X23))
| identity(X22,X23) ) ),
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_24,plain,
( X1 = esk11_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X7)
| ~ maps(X2,X3,X4)
| ~ member(esk11_4(X2,X3,X4,X5),X7)
| ~ member(X1,X7)
| ~ member(X5,X6)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
fof(c_0_25,plain,
! [X83,X84,X85,X86,X88,X89,X90,X92] :
( ( member(esk16_4(X83,X84,X85,X86),X84)
| ~ member(X86,X85)
| ~ surjective(X83,X84,X85) )
& ( apply(X83,esk16_4(X83,X84,X85,X86),X86)
| ~ member(X86,X85)
| ~ surjective(X83,X84,X85) )
& ( member(esk17_3(X88,X89,X90),X90)
| surjective(X88,X89,X90) )
& ( ~ member(X92,X89)
| ~ apply(X88,X92,esk17_3(X88,X89,X90))
| surjective(X88,X89,X90) ) ),
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_26,plain,
( apply(X1,esk4_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_10]) ).
cnf(c_0_27,negated_conjecture,
( esk11_4(esk1_0,X1,esk2_0,X2) = esk4_7(X3,esk1_0,X4,esk2_0,X5,X2,X6)
| ~ apply(compose_function(X3,esk1_0,X4,esk2_0,X5),X2,X6)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X6,X5)
| ~ member(X2,X4)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( apply(X1,X3,X3)
| ~ identity(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
( X1 = esk11_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X4)
| ~ maps(X2,X3,X4)
| ~ member(X1,X4)
| ~ member(X5,X6)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_31,plain,
( apply(X1,esk16_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( apply(X1,esk11_4(esk1_0,X2,esk2_0,X3),X4)
| ~ apply(compose_function(X1,esk1_0,X5,esk2_0,X6),X3,X4)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X4,X6)
| ~ member(X3,X5)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| apply(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( esk11_4(X1,X2,X3,esk16_4(X1,X4,X5,X6)) = X6
| ~ surjective(X1,X4,X5)
| ~ maps(X1,X7,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk16_4(X1,X4,X5,X6),X7)
| ~ member(esk16_4(X1,X4,X5,X6),X2)
| ~ member(X6,X3)
| ~ member(X6,X5) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( member(esk16_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| apply(esk1_0,esk11_4(esk1_0,X1,esk2_0,X2),X2)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( esk11_4(X1,X2,X3,esk16_4(X1,X4,X5,X6)) = X6
| ~ surjective(X1,X4,X5)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk16_4(X1,X4,X5,X6),X2)
| ~ member(X6,X3)
| ~ member(X6,X5) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| apply(esk1_0,X1,esk16_4(esk1_0,X2,X3,X1))
| ~ surjective(esk1_0,X2,X3)
| ~ maps(esk1_0,X4,esk2_0)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk16_4(esk1_0,X2,X3,X1),esk2_0)
| ~ member(esk16_4(esk1_0,X2,X3,X1),X4)
| ~ member(X1,esk2_0)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_39,plain,
! [X93,X94,X95,X96,X97,X98,X99,X100,X101] :
( ( ~ injective(X93,X94,X95)
| ~ member(X96,X94)
| ~ member(X97,X94)
| ~ member(X98,X95)
| ~ apply(X93,X96,X98)
| ~ apply(X93,X97,X98)
| X96 = X97 )
& ( member(esk18_3(X99,X100,X101),X100)
| injective(X99,X100,X101) )
& ( member(esk19_3(X99,X100,X101),X100)
| injective(X99,X100,X101) )
& ( member(esk20_3(X99,X100,X101),X101)
| injective(X99,X100,X101) )
& ( apply(X99,esk18_3(X99,X100,X101),esk20_3(X99,X100,X101))
| injective(X99,X100,X101) )
& ( apply(X99,esk19_3(X99,X100,X101),esk20_3(X99,X100,X101))
| injective(X99,X100,X101) )
& ( esk18_3(X99,X100,X101) != esk19_3(X99,X100,X101)
| injective(X99,X100,X101) ) ),
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])])])])])]) ).
cnf(c_0_40,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| apply(esk1_0,X1,esk16_4(esk1_0,X2,X3,X1))
| ~ surjective(esk1_0,X2,X3)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk16_4(esk1_0,X2,X3,X1),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_41,plain,
( apply(X1,esk18_3(X1,X2,X3),esk20_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_42,plain,
( apply(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( X1 = esk16_4(esk1_0,X2,X3,X4)
| one_to_one(esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,X2,X3)
| ~ apply(esk1_0,X4,X1)
| ~ maps(esk1_0,X2,esk2_0)
| ~ maps(esk1_0,X5,X6)
| ~ member(esk16_4(esk1_0,X2,X3,X4),esk2_0)
| ~ member(esk16_4(esk1_0,X2,X3,X4),X6)
| ~ member(X4,esk2_0)
| ~ member(X1,X6)
| ~ member(X4,X5)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_40]) ).
cnf(c_0_44,plain,
( esk11_4(X1,X2,X3,esk18_3(X1,X4,X5)) = esk20_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk20_3(X1,X4,X5),X3)
| ~ member(esk18_3(X1,X4,X5),X6)
| ~ member(esk18_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_45,plain,
( member(esk18_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( esk11_4(X1,X2,X3,esk19_3(X1,X4,X5)) = esk20_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk20_3(X1,X4,X5),X3)
| ~ member(esk19_3(X1,X4,X5),X6)
| ~ member(esk19_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_42]) ).
cnf(c_0_47,plain,
( member(esk19_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( X1 = esk16_4(esk1_0,esk2_0,X2,X3)
| one_to_one(esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ apply(esk1_0,X3,X1)
| ~ maps(esk1_0,X4,X5)
| ~ member(esk16_4(esk1_0,esk2_0,X2,X3),X5)
| ~ member(X3,esk2_0)
| ~ member(X1,X5)
| ~ member(X3,X4)
| ~ member(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_22])]) ).
cnf(c_0_49,plain,
( esk11_4(X1,X2,X3,esk18_3(X1,X4,X5)) = esk20_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk20_3(X1,X4,X5),X3)
| ~ member(esk18_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( esk11_4(X1,X2,X3,esk19_3(X1,X4,X5)) = esk20_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk20_3(X1,X4,X5),X3)
| ~ member(esk19_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( X1 = esk16_4(esk1_0,esk2_0,X2,X3)
| one_to_one(esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ apply(esk1_0,X3,X1)
| ~ maps(esk1_0,X4,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,X4)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_35]) ).
cnf(c_0_52,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,X2)
| apply(esk1_0,esk20_3(esk1_0,X1,X2),esk18_3(esk1_0,X1,X2))
| ~ maps(esk1_0,X3,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk18_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk20_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk18_3(esk1_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,X2)
| apply(esk1_0,esk20_3(esk1_0,X1,X2),esk19_3(esk1_0,X1,X2))
| ~ maps(esk1_0,X3,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk19_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk20_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk19_3(esk1_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_54,plain,
( surjective(X3,X2,X4)
| ~ member(X1,X2)
| ~ apply(X3,X1,esk17_3(X3,X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_55,negated_conjecture,
( X1 = esk16_4(esk1_0,esk2_0,X2,X3)
| one_to_one(esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ apply(esk1_0,X3,X1)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_22]) ).
cnf(c_0_56,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,X2)
| apply(esk1_0,esk20_3(esk1_0,X1,X2),esk18_3(esk1_0,X1,X2))
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk18_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk20_3(esk1_0,X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_45]) ).
cnf(c_0_57,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,X2)
| apply(esk1_0,esk20_3(esk1_0,X1,X2),esk19_3(esk1_0,X1,X2))
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk19_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk20_3(esk1_0,X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_47]) ).
cnf(c_0_58,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,esk17_3(X1,X2,X3))
| ~ member(esk4_7(X1,X4,X5,X6,X7,X8,esk17_3(X1,X2,X3)),X2)
| ~ member(esk17_3(X1,X2,X3),X7)
| ~ member(X8,X5) ),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_59,negated_conjecture,
( esk16_4(esk1_0,esk2_0,X1,esk20_3(esk1_0,X2,X3)) = esk18_3(esk1_0,X2,X3)
| one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X2,X3)
| ~ surjective(esk1_0,esk2_0,X1)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk20_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk18_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk20_3(esk1_0,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( esk16_4(esk1_0,esk2_0,X1,esk20_3(esk1_0,X2,X3)) = esk19_3(esk1_0,X2,X3)
| one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X2,X3)
| ~ surjective(esk1_0,esk2_0,X1)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk20_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk19_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk20_3(esk1_0,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_57]) ).
cnf(c_0_61,plain,
( injective(X1,X2,X3)
| esk18_3(X1,X2,X3) != esk19_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_62,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X2,X6),X7,esk17_3(X1,X2,X3))
| ~ member(esk17_3(X1,X2,X3),X6)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_58,c_0_14]) ).
fof(c_0_63,plain,
! [X46,X47,X48] :
( ( injective(X46,X47,X48)
| ~ one_to_one(X46,X47,X48) )
& ( surjective(X46,X47,X48)
| ~ one_to_one(X46,X47,X48) )
& ( ~ injective(X46,X47,X48)
| ~ surjective(X46,X47,X48)
| one_to_one(X46,X47,X48) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])]) ).
cnf(c_0_64,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,X2)
| ~ surjective(esk1_0,esk2_0,X3)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk20_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk18_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk19_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk20_3(esk1_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_65,plain,
( member(esk20_3(X1,X2,X3),X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_66,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| surjective(esk1_0,esk2_0,X1)
| ~ member(esk17_3(esk1_0,esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_33]) ).
cnf(c_0_67,plain,
( member(esk17_3(X1,X2,X3),X3)
| surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_68,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,esk2_0)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk18_3(esk1_0,X1,esk2_0),esk2_0)
| ~ member(esk19_3(esk1_0,X1,esk2_0),esk2_0)
| ~ member(esk20_3(esk1_0,X1,esk2_0),X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
surjective(esk1_0,esk2_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_71,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
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_39]) ).
cnf(c_0_73,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_74,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk18_3(esk1_0,X1,esk2_0),esk2_0)
| ~ member(esk19_3(esk1_0,X1,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_65]),c_0_70])]) ).
cnf(c_0_75,negated_conjecture,
( one_to_one(esk1_0,esk2_0,esk2_0)
| ~ injective(esk1_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
fof(c_0_76,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62] :
( ( maps(X49,X50,X52)
| ~ isomorphism(X49,X50,X51,X52,X53) )
& ( one_to_one(X49,X50,X52)
| ~ isomorphism(X49,X50,X51,X52,X53) )
& ( ~ apply(X51,X54,X56)
| apply(X53,X55,X57)
| ~ member(X54,X50)
| ~ member(X55,X52)
| ~ member(X56,X50)
| ~ member(X57,X52)
| ~ apply(X49,X54,X55)
| ~ apply(X49,X56,X57)
| ~ isomorphism(X49,X50,X51,X52,X53) )
& ( ~ apply(X53,X55,X57)
| apply(X51,X54,X56)
| ~ member(X54,X50)
| ~ member(X55,X52)
| ~ member(X56,X50)
| ~ member(X57,X52)
| ~ apply(X49,X54,X55)
| ~ apply(X49,X56,X57)
| ~ isomorphism(X49,X50,X51,X52,X53) )
& ( member(esk7_5(X58,X59,X60,X61,X62),X59)
| ~ maps(X58,X59,X61)
| ~ one_to_one(X58,X59,X61)
| isomorphism(X58,X59,X60,X61,X62) )
& ( member(esk8_5(X58,X59,X60,X61,X62),X61)
| ~ maps(X58,X59,X61)
| ~ one_to_one(X58,X59,X61)
| isomorphism(X58,X59,X60,X61,X62) )
& ( member(esk9_5(X58,X59,X60,X61,X62),X59)
| ~ maps(X58,X59,X61)
| ~ one_to_one(X58,X59,X61)
| isomorphism(X58,X59,X60,X61,X62) )
& ( member(esk10_5(X58,X59,X60,X61,X62),X61)
| ~ maps(X58,X59,X61)
| ~ one_to_one(X58,X59,X61)
| isomorphism(X58,X59,X60,X61,X62) )
& ( apply(X58,esk7_5(X58,X59,X60,X61,X62),esk8_5(X58,X59,X60,X61,X62))
| ~ maps(X58,X59,X61)
| ~ one_to_one(X58,X59,X61)
| isomorphism(X58,X59,X60,X61,X62) )
& ( apply(X58,esk9_5(X58,X59,X60,X61,X62),esk10_5(X58,X59,X60,X61,X62))
| ~ maps(X58,X59,X61)
| ~ one_to_one(X58,X59,X61)
| isomorphism(X58,X59,X60,X61,X62) )
& ( ~ apply(X60,esk7_5(X58,X59,X60,X61,X62),esk9_5(X58,X59,X60,X61,X62))
| ~ apply(X62,esk8_5(X58,X59,X60,X61,X62),esk10_5(X58,X59,X60,X61,X62))
| ~ maps(X58,X59,X61)
| ~ one_to_one(X58,X59,X61)
| isomorphism(X58,X59,X60,X61,X62) )
& ( apply(X60,esk7_5(X58,X59,X60,X61,X62),esk9_5(X58,X59,X60,X61,X62))
| apply(X62,esk8_5(X58,X59,X60,X61,X62),esk10_5(X58,X59,X60,X61,X62))
| ~ maps(X58,X59,X61)
| ~ one_to_one(X58,X59,X61)
| isomorphism(X58,X59,X60,X61,X62) ) ),
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)],[isomorphism])])])])])]) ).
cnf(c_0_77,plain,
( X1 = X2
| ~ one_to_one(X3,X4,X5)
| ~ apply(X3,X2,X6)
| ~ apply(X3,X1,X6)
| ~ member(X6,X5)
| ~ member(X2,X4)
| ~ member(X1,X4) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,negated_conjecture,
one_to_one(esk1_0,esk2_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_47]),c_0_22])]),c_0_45]),c_0_75]) ).
cnf(c_0_79,plain,
( apply(X1,esk7_5(X2,X3,X1,X4,X5),esk9_5(X2,X3,X1,X4,X5))
| apply(X5,esk8_5(X2,X3,X1,X4,X5),esk10_5(X2,X3,X1,X4,X5))
| isomorphism(X2,X3,X1,X4,X5)
| ~ maps(X2,X3,X4)
| ~ one_to_one(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk2_0,X2)
| apply(X1,esk7_5(esk1_0,esk2_0,X1,esk2_0,X2),esk9_5(esk1_0,esk2_0,X1,esk2_0,X2))
| apply(X2,esk8_5(esk1_0,esk2_0,X1,esk2_0,X2),esk10_5(esk1_0,esk2_0,X1,esk2_0,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_78]),c_0_22])]) ).
cnf(c_0_82,plain,
( apply(X1,esk7_5(X1,X2,X3,X4,X5),esk8_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( X1 = esk8_5(esk1_0,esk2_0,X2,esk2_0,esk1_0)
| isomorphism(esk1_0,esk2_0,X2,esk2_0,esk1_0)
| apply(X2,esk7_5(esk1_0,esk2_0,X2,esk2_0,esk1_0),esk9_5(esk1_0,esk2_0,X2,esk2_0,esk1_0))
| ~ apply(esk1_0,X1,esk10_5(esk1_0,esk2_0,X2,esk2_0,esk1_0))
| ~ member(esk10_5(esk1_0,esk2_0,X2,esk2_0,esk1_0),esk2_0)
| ~ member(esk8_5(esk1_0,esk2_0,X2,esk2_0,esk1_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,plain,
( apply(X1,esk9_5(X1,X2,X3,X4,X5),esk10_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_85,plain,
( X1 = esk8_5(X2,X3,X4,X5,X6)
| isomorphism(X2,X3,X4,X5,X6)
| ~ one_to_one(X2,X3,X5)
| ~ apply(X2,esk7_5(X2,X3,X4,X5,X6),X1)
| ~ maps(X2,X7,X8)
| ~ maps(X2,X3,X5)
| ~ member(esk8_5(X2,X3,X4,X5,X6),X8)
| ~ member(esk7_5(X2,X3,X4,X5,X6),X7)
| ~ member(X1,X8) ),
inference(spm,[status(thm)],[c_0_11,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
( esk9_5(esk1_0,esk2_0,X1,esk2_0,esk1_0) = esk8_5(esk1_0,esk2_0,X1,esk2_0,esk1_0)
| isomorphism(esk1_0,esk2_0,X1,esk2_0,esk1_0)
| apply(X1,esk7_5(esk1_0,esk2_0,X1,esk2_0,esk1_0),esk9_5(esk1_0,esk2_0,X1,esk2_0,esk1_0))
| ~ member(esk10_5(esk1_0,esk2_0,X1,esk2_0,esk1_0),esk2_0)
| ~ member(esk8_5(esk1_0,esk2_0,X1,esk2_0,esk1_0),esk2_0)
| ~ member(esk9_5(esk1_0,esk2_0,X1,esk2_0,esk1_0),esk2_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_78]),c_0_22])]) ).
cnf(c_0_87,negated_conjecture,
( esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0) = esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk10_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk2_0)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk2_0)
| ~ member(esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk2_0)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X2)
| ~ member(esk7_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X1)
| ~ member(esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_78]),c_0_22])]) ).
cnf(c_0_88,plain,
( member(esk10_5(X1,X2,X3,X4,X5),X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_89,negated_conjecture,
( esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0) = esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk2_0)
| ~ member(esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk2_0)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X2)
| ~ member(esk7_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X1)
| ~ member(esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_78]),c_0_22])]) ).
cnf(c_0_90,plain,
( member(esk9_5(X1,X2,X3,X4,X5),X2)
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_91,negated_conjecture,
( esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0) = esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk2_0)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X2)
| ~ member(esk7_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X1)
| ~ member(esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_78]),c_0_22])]) ).
cnf(c_0_92,plain,
( member(esk7_5(X1,X2,X3,X4,X5),X2)
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_93,negated_conjecture,
( esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0) = esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| ~ maps(esk1_0,esk2_0,X1)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk2_0)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X1)
| ~ member(esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_78]),c_0_22])]) ).
cnf(c_0_94,negated_conjecture,
( esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0) = esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| ~ member(esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_90]),c_0_22]),c_0_78])]) ).
cnf(c_0_95,plain,
( member(esk8_5(X1,X2,X3,X4,X5),X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_96,negated_conjecture,
( esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0) = esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_78]),c_0_22])]) ).
cnf(c_0_97,plain,
( isomorphism(X2,X3,X1,X4,X5)
| ~ apply(X1,esk7_5(X2,X3,X1,X4,X5),esk9_5(X2,X3,X1,X4,X5))
| ~ apply(X5,esk8_5(X2,X3,X1,X4,X5),esk10_5(X2,X3,X1,X4,X5))
| ~ maps(X2,X3,X4)
| ~ one_to_one(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_98,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| apply(esk1_0,esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk10_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_96]),c_0_78]),c_0_22])]) ).
cnf(c_0_99,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| ~ apply(esk1_0,esk7_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk9_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_78]),c_0_22])]) ).
cnf(c_0_100,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)
| ~ apply(esk1_0,esk7_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),esk8_5(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_99,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_102,plain,
( apply(X4,X5,X6)
| ~ apply(X1,X2,X3)
| ~ member(X2,X7)
| ~ member(X5,X8)
| ~ member(X3,X7)
| ~ member(X6,X8)
| ~ apply(X9,X2,X5)
| ~ apply(X9,X3,X6)
| ~ isomorphism(X9,X7,X1,X8,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_103,negated_conjecture,
isomorphism(esk1_0,esk2_0,esk1_0,esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_82]),c_0_78]),c_0_22])]) ).
cnf(c_0_104,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| apply(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ apply(esk1_0,X3,X2)
| ~ apply(esk1_0,X4,X1)
| ~ apply(esk1_0,X4,X3)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X4,esk2_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| apply(esk1_0,esk11_4(esk1_0,X1,esk2_0,X2),X2)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_104]) ).
fof(c_0_107,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
( ( ~ apply(X35,X38,X39)
| apply(X34,X39,X38)
| ~ member(X38,X36)
| ~ member(X39,X37)
| ~ inverse_predicate(X34,X35,X36,X37) )
& ( ~ apply(X34,X39,X38)
| apply(X35,X38,X39)
| ~ member(X38,X36)
| ~ member(X39,X37)
| ~ inverse_predicate(X34,X35,X36,X37) )
& ( member(esk5_4(X40,X41,X42,X43),X42)
| inverse_predicate(X40,X41,X42,X43) )
& ( member(esk6_4(X40,X41,X42,X43),X43)
| inverse_predicate(X40,X41,X42,X43) )
& ( ~ apply(X41,esk5_4(X40,X41,X42,X43),esk6_4(X40,X41,X42,X43))
| ~ apply(X40,esk6_4(X40,X41,X42,X43),esk5_4(X40,X41,X42,X43))
| inverse_predicate(X40,X41,X42,X43) )
& ( apply(X41,esk5_4(X40,X41,X42,X43),esk6_4(X40,X41,X42,X43))
| apply(X40,esk6_4(X40,X41,X42,X43),esk5_4(X40,X41,X42,X43))
| inverse_predicate(X40,X41,X42,X43) ) ),
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)],[inverse_predicate])])])])])]) ).
cnf(c_0_108,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| apply(esk1_0,X1,X2)
| ~ apply(esk1_0,X3,esk11_4(esk1_0,X4,esk2_0,X2))
| ~ apply(esk1_0,X3,X1)
| ~ maps(esk1_0,X4,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X2,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_19]) ).
cnf(c_0_109,plain,
( apply(X4,X3,X2)
| ~ apply(X1,X2,X3)
| ~ member(X3,X5)
| ~ member(X2,X6)
| ~ inverse_predicate(X1,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_110,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ apply(esk1_0,X2,X1)
| ~ maps(esk1_0,X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_16]),c_0_109]) ).
cnf(c_0_111,negated_conjecture,
( X1 = esk16_4(esk1_0,X2,X3,X4)
| ~ surjective(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X4)
| ~ member(esk16_4(esk1_0,X2,X3,X4),esk2_0)
| ~ member(X4,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_31]) ).
cnf(c_0_112,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ apply(esk1_0,X2,X1)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_22]) ).
cnf(c_0_113,negated_conjecture,
( X1 = esk16_4(esk1_0,esk2_0,X2,X3)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ apply(esk1_0,X1,X3)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_35]) ).
cnf(c_0_114,negated_conjecture,
( apply(esk1_0,esk11_4(esk1_0,X1,X2,X3),X3)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk11_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_16]) ).
cnf(c_0_115,negated_conjecture,
( esk11_4(esk1_0,X1,X2,X3) = esk16_4(esk1_0,esk2_0,X4,X3)
| ~ surjective(esk1_0,esk2_0,X4)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk11_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X3,X4)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_116,negated_conjecture,
( esk11_4(esk1_0,X1,esk2_0,X2) = esk16_4(esk1_0,esk2_0,X3,X2)
| ~ surjective(esk1_0,esk2_0,X3)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X2,X3)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_19]) ).
cnf(c_0_117,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_10]) ).
cnf(c_0_118,negated_conjecture,
( apply(esk1_0,X1,esk16_4(esk1_0,esk2_0,X2,X1))
| ~ surjective(esk1_0,esk2_0,X2)
| ~ maps(esk1_0,X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_116]) ).
cnf(c_0_119,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ surjective(X1,X8,X9)
| ~ apply(X2,X6,esk16_4(X1,X8,X9,X7))
| ~ member(esk16_4(X1,X8,X9,X7),X4)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ member(X7,X9) ),
inference(spm,[status(thm)],[c_0_117,c_0_31]) ).
cnf(c_0_120,negated_conjecture,
( apply(esk1_0,X1,esk16_4(esk1_0,esk2_0,X2,X1))
| ~ surjective(esk1_0,esk2_0,X2)
| ~ member(X1,esk2_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_22]) ).
cnf(c_0_121,negated_conjecture,
( apply(compose_function(esk1_0,esk1_0,X1,X2,X3),X4,X4)
| ~ surjective(esk1_0,esk2_0,X5)
| ~ member(esk16_4(esk1_0,esk2_0,X5,X4),X2)
| ~ member(X4,esk2_0)
| ~ member(X4,X3)
| ~ member(X4,X1)
| ~ member(X4,X5) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_122,negated_conjecture,
( apply(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),X3,X3)
| ~ surjective(esk1_0,esk2_0,X4)
| ~ member(X3,esk2_0)
| ~ member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_121,c_0_35]) ).
cnf(c_0_123,plain,
( identity(X1,X2)
| ~ apply(X1,esk3_2(X1,X2),esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_124,negated_conjecture,
( apply(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),X3,X3)
| ~ member(X3,esk2_0)
| ~ member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_70]) ).
cnf(c_0_125,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),X3)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),X3),esk2_0)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),X3),X2)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_126,plain,
( member(esk3_2(X1,X2),X2)
| identity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_127,plain,
( apply(X1,esk5_4(X2,X1,X3,X4),esk6_4(X2,X1,X3,X4))
| apply(X2,esk6_4(X2,X1,X3,X4),esk5_4(X2,X1,X3,X4))
| inverse_predicate(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_128,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),esk2_0)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),esk2_0),X2)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
( inverse_predicate(esk1_0,X1,X2,X3)
| apply(esk1_0,esk5_4(esk1_0,X1,X2,X3),esk6_4(esk1_0,X1,X2,X3))
| apply(X1,esk5_4(esk1_0,X1,X2,X3),esk6_4(esk1_0,X1,X2,X3))
| ~ member(esk6_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(esk5_4(esk1_0,X1,X2,X3),esk2_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_127]) ).
cnf(c_0_130,plain,
( member(esk6_4(X1,X2,X3,X4),X4)
| inverse_predicate(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_131,negated_conjecture,
( ~ one_to_one(esk1_0,esk2_0,esk2_0)
| ~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_132,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,X1,esk2_0,esk2_0),esk2_0)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,X1,esk2_0,esk2_0),esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( inverse_predicate(esk1_0,X1,X2,esk2_0)
| apply(esk1_0,esk5_4(esk1_0,X1,X2,esk2_0),esk6_4(esk1_0,X1,X2,esk2_0))
| apply(X1,esk5_4(esk1_0,X1,X2,esk2_0),esk6_4(esk1_0,X1,X2,esk2_0))
| ~ member(esk5_4(esk1_0,X1,X2,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_134,plain,
( member(esk5_4(X1,X2,X3,X4),X3)
| inverse_predicate(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_135,negated_conjecture,
( ~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_78])]) ).
cnf(c_0_136,negated_conjecture,
identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_132,c_0_126]) ).
cnf(c_0_137,negated_conjecture,
( inverse_predicate(esk1_0,X1,esk2_0,esk2_0)
| apply(esk1_0,esk5_4(esk1_0,X1,esk2_0,esk2_0),esk6_4(esk1_0,X1,esk2_0,esk2_0))
| apply(X1,esk5_4(esk1_0,X1,esk2_0,esk2_0),esk6_4(esk1_0,X1,esk2_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_138,negated_conjecture,
~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]) ).
cnf(c_0_139,negated_conjecture,
apply(esk1_0,esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk6_4(esk1_0,esk1_0,esk2_0,esk2_0)),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_137]),c_0_138]) ).
cnf(c_0_140,plain,
( inverse_predicate(X2,X1,X3,X4)
| ~ apply(X1,esk5_4(X2,X1,X3,X4),esk6_4(X2,X1,X3,X4))
| ~ apply(X2,esk6_4(X2,X1,X3,X4),esk5_4(X2,X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_141,negated_conjecture,
( apply(esk1_0,esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),esk5_4(esk1_0,esk1_0,esk2_0,esk2_0))
| ~ member(esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0)
| ~ member(esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_139]) ).
cnf(c_0_142,negated_conjecture,
( ~ member(esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0)
| ~ member(esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_139])]),c_0_138]) ).
cnf(c_0_143,negated_conjecture,
~ member(esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_130]),c_0_138]) ).
cnf(c_0_144,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_134]),c_0_138]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SET729+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 16:53:54 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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.JYhXLjgir3/E---3.1_14757.p
% 11.89/1.93 # Version: 3.1pre001
% 11.89/1.93 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.89/1.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.89/1.93 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.89/1.93 # Starting new_bool_3 with 300s (1) cores
% 11.89/1.93 # Starting new_bool_1 with 300s (1) cores
% 11.89/1.93 # Starting sh5l with 300s (1) cores
% 11.89/1.93 # sh5l with pid 14837 completed with status 0
% 11.89/1.93 # Result found by sh5l
% 11.89/1.93 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.89/1.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.89/1.93 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.89/1.93 # Starting new_bool_3 with 300s (1) cores
% 11.89/1.93 # Starting new_bool_1 with 300s (1) cores
% 11.89/1.93 # Starting sh5l with 300s (1) cores
% 11.89/1.93 # SinE strategy is gf500_gu_R04_F100_L20000
% 11.89/1.93 # Search class: FGHSF-FFMS33-SFFFFFNN
% 11.89/1.93 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 11.89/1.93 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 11.89/1.93 # SAT001_MinMin_p005000_rr_RG with pid 14840 completed with status 0
% 11.89/1.93 # Result found by SAT001_MinMin_p005000_rr_RG
% 11.89/1.93 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.89/1.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.89/1.93 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.89/1.93 # Starting new_bool_3 with 300s (1) cores
% 11.89/1.93 # Starting new_bool_1 with 300s (1) cores
% 11.89/1.93 # Starting sh5l with 300s (1) cores
% 11.89/1.93 # SinE strategy is gf500_gu_R04_F100_L20000
% 11.89/1.93 # Search class: FGHSF-FFMS33-SFFFFFNN
% 11.89/1.93 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 11.89/1.93 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 11.89/1.93 # Preprocessing time : 0.003 s
% 11.89/1.93 # Presaturation interreduction done
% 11.89/1.93
% 11.89/1.93 # Proof found!
% 11.89/1.93 # SZS status Theorem
% 11.89/1.93 # SZS output start CNFRefutation
% See solution above
% 11.89/1.93 # Parsed axioms : 29
% 11.89/1.93 # Removed by relevancy pruning/SinE : 20
% 11.89/1.93 # Initial clauses : 58
% 11.89/1.93 # Removed in clause preprocessing : 0
% 11.89/1.93 # Initial clauses in saturation : 58
% 11.89/1.93 # Processed clauses : 3210
% 11.89/1.93 # ...of these trivial : 2
% 11.89/1.93 # ...subsumed : 1888
% 11.89/1.93 # ...remaining for further processing : 1320
% 11.89/1.93 # Other redundant clauses eliminated : 0
% 11.89/1.93 # Clauses deleted for lack of memory : 0
% 11.89/1.93 # Backward-subsumed : 289
% 11.89/1.93 # Backward-rewritten : 171
% 11.89/1.93 # Generated clauses : 18139
% 11.89/1.93 # ...of the previous two non-redundant : 17723
% 11.89/1.93 # ...aggressively subsumed : 0
% 11.89/1.93 # Contextual simplify-reflections : 127
% 11.89/1.93 # Paramodulations : 18135
% 11.89/1.93 # Factorizations : 3
% 11.89/1.93 # NegExts : 0
% 11.89/1.93 # Equation resolutions : 0
% 11.89/1.93 # Total rewrite steps : 941
% 11.89/1.93 # Propositional unsat checks : 0
% 11.89/1.93 # Propositional check models : 0
% 11.89/1.93 # Propositional check unsatisfiable : 0
% 11.89/1.93 # Propositional clauses : 0
% 11.89/1.93 # Propositional clauses after purity: 0
% 11.89/1.93 # Propositional unsat core size : 0
% 11.89/1.93 # Propositional preprocessing time : 0.000
% 11.89/1.93 # Propositional encoding time : 0.000
% 11.89/1.93 # Propositional solver time : 0.000
% 11.89/1.93 # Success case prop preproc time : 0.000
% 11.89/1.93 # Success case prop encoding time : 0.000
% 11.89/1.93 # Success case prop solver time : 0.000
% 11.89/1.93 # Current number of processed clauses : 801
% 11.89/1.93 # Positive orientable unit clauses : 8
% 11.89/1.93 # Positive unorientable unit clauses: 0
% 11.89/1.93 # Negative unit clauses : 2
% 11.89/1.93 # Non-unit-clauses : 791
% 11.89/1.93 # Current number of unprocessed clauses: 14087
% 11.89/1.93 # ...number of literals in the above : 169588
% 11.89/1.93 # Current number of archived formulas : 0
% 11.89/1.93 # Current number of archived clauses : 519
% 11.89/1.93 # Clause-clause subsumption calls (NU) : 404276
% 11.89/1.93 # Rec. Clause-clause subsumption calls : 13813
% 11.89/1.93 # Non-unit clause-clause subsumptions : 2302
% 11.89/1.93 # Unit Clause-clause subsumption calls : 468
% 11.89/1.93 # Rewrite failures with RHS unbound : 0
% 11.89/1.93 # BW rewrite match attempts : 12
% 11.89/1.93 # BW rewrite match successes : 3
% 11.89/1.93 # Condensation attempts : 0
% 11.89/1.93 # Condensation successes : 0
% 11.89/1.93 # Termbank termtop insertions : 1073437
% 11.89/1.93
% 11.89/1.93 # -------------------------------------------------
% 11.89/1.93 # User time : 1.428 s
% 11.89/1.93 # System time : 0.019 s
% 11.89/1.93 # Total time : 1.447 s
% 11.89/1.93 # Maximum resident set size: 2036 pages
% 11.89/1.93
% 11.89/1.93 # -------------------------------------------------
% 11.89/1.93 # User time : 1.431 s
% 11.89/1.93 # System time : 0.020 s
% 11.89/1.93 # Total time : 1.450 s
% 11.89/1.93 # Maximum resident set size: 1740 pages
% 11.89/1.93 % E---3.1 exiting
%------------------------------------------------------------------------------