TSTP Solution File: SET711+4 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET711+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n005.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 : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:15:34 EDT 2022
% Result : Theorem 211.03s 211.24s
% Output : CNFRefutation 211.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 42
% Syntax : Number of formulae : 816 ( 21 unt; 0 def)
% Number of atoms : 3236 ( 106 equ)
% Maximal formula atoms : 56 ( 3 avg)
% Number of connectives : 4140 (1720 ~;2106 |; 216 &)
% ( 60 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-6 aty)
% Number of functors : 105 ( 105 usr; 11 con; 0-8 aty)
% Number of variables : 3748 ( 67 sgn 473 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X9,X10,X6,X1,X2,X11] :
( compose_predicate(X9,X10,X6,X1,X2,X11)
<=> ! [X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(X9,X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ) ),
file('<stdin>',compose_predicate) ).
fof(c_0_1,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('<stdin>',compose_function) ).
fof(c_0_2,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('<stdin>',isomorphism) ).
fof(c_0_3,axiom,
! [X6,X1,X15,X2,X16] :
( decreasing(X6,X1,X15,X2,X16)
<=> ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X15,X13,X14)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> apply(X16,X8,X7) ) ),
file('<stdin>',decreasing_function) ).
fof(c_0_4,axiom,
! [X6,X1,X15,X2,X16] :
( increasing(X6,X1,X15,X2,X16)
<=> ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X15,X13,X14)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> apply(X16,X7,X8) ) ),
file('<stdin>',increasing_function) ).
fof(c_0_5,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('<stdin>',inverse_predicate) ).
fof(c_0_6,axiom,
! [X6,X10,X1,X2] :
( equal_maps(X6,X10,X1,X2)
<=> ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X10,X3,X8) )
=> X7 = X8 ) ) ),
file('<stdin>',equal_maps) ).
fof(c_0_7,axiom,
! [X6,X2,X1,X3] :
( member(X3,inverse_image3(X6,X2,X1))
<=> ( member(X3,X1)
& ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) ) ),
file('<stdin>',inverse_image3) ).
fof(c_0_8,axiom,
! [X6,X1,X2,X5] :
( member(X5,image3(X6,X1,X2))
<=> ( member(X5,X2)
& ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ) ),
file('<stdin>',image3) ).
fof(c_0_9,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X6,X4,X5) ) ) ),
file('<stdin>',surjective) ).
fof(c_0_10,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('<stdin>',maps) ).
fof(c_0_11,axiom,
! [X6,X1,X2,X3,X5] :
( ( member(X3,X1)
& member(X5,X2) )
=> ( apply(X6,X3,X5)
<=> apply(inverse_function(X6,X1,X2),X5,X3) ) ),
file('<stdin>',inverse_function) ).
fof(c_0_12,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('<stdin>',injective) ).
fof(c_0_13,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( injective(X6,X1,X2)
& surjective(X6,X1,X2) ) ),
file('<stdin>',one_to_one) ).
fof(c_0_14,axiom,
! [X6,X2,X3] :
( member(X3,inverse_image2(X6,X2))
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) ),
file('<stdin>',inverse_image2) ).
fof(c_0_15,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('<stdin>',image2) ).
fof(c_0_16,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('<stdin>',identity) ).
fof(c_0_17,axiom,
! [X3,X1,X2] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('<stdin>',union) ).
fof(c_0_18,axiom,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
file('<stdin>',difference) ).
fof(c_0_19,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('<stdin>',intersection) ).
fof(c_0_20,axiom,
! [X3,X1] :
( member(X3,product(X1))
<=> ! [X5] :
( member(X5,X1)
=> member(X3,X5) ) ),
file('<stdin>',product) ).
fof(c_0_21,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('<stdin>',subset) ).
fof(c_0_22,axiom,
! [X3,X1] :
( member(X3,sum(X1))
<=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) ),
file('<stdin>',sum) ).
fof(c_0_23,axiom,
! [X3,X1,X2] :
( member(X3,unordered_pair(X1,X2))
<=> ( X3 = X1
| X3 = X2 ) ),
file('<stdin>',unordered_pair) ).
fof(c_0_24,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('<stdin>',equal_set) ).
fof(c_0_25,axiom,
! [X3,X1] :
( member(X3,power_set(X1))
<=> subset(X3,X1) ),
file('<stdin>',power_set) ).
fof(c_0_26,axiom,
! [X3,X1] :
( member(X3,singleton(X1))
<=> X3 = X1 ),
file('<stdin>',singleton) ).
fof(c_0_27,axiom,
! [X3] : ~ member(X3,empty_set),
file('<stdin>',empty_set) ).
fof(c_0_28,axiom,
! [X9,X10,X6,X1,X2,X11] :
( compose_predicate(X9,X10,X6,X1,X2,X11)
<=> ! [X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(X9,X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ) ),
c_0_0 ).
fof(c_0_29,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) ) ) ),
c_0_1 ).
fof(c_0_30,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) ) ) ) ),
c_0_2 ).
fof(c_0_31,axiom,
! [X6,X1,X15,X2,X16] :
( decreasing(X6,X1,X15,X2,X16)
<=> ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X15,X13,X14)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> apply(X16,X8,X7) ) ),
c_0_3 ).
fof(c_0_32,axiom,
! [X6,X1,X15,X2,X16] :
( increasing(X6,X1,X15,X2,X16)
<=> ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X15,X13,X14)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> apply(X16,X7,X8) ) ),
c_0_4 ).
fof(c_0_33,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) ) ) ),
c_0_5 ).
fof(c_0_34,axiom,
! [X6,X10,X1,X2] :
( equal_maps(X6,X10,X1,X2)
<=> ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X10,X3,X8) )
=> X7 = X8 ) ) ),
c_0_6 ).
fof(c_0_35,axiom,
! [X6,X2,X1,X3] :
( member(X3,inverse_image3(X6,X2,X1))
<=> ( member(X3,X1)
& ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) ) ),
c_0_7 ).
fof(c_0_36,axiom,
! [X6,X1,X2,X5] :
( member(X5,image3(X6,X1,X2))
<=> ( member(X5,X2)
& ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ) ),
c_0_8 ).
fof(c_0_37,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X6,X4,X5) ) ) ),
c_0_9 ).
fof(c_0_38,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 ) ) ) ),
c_0_10 ).
fof(c_0_39,axiom,
! [X6,X1,X2,X3,X5] :
( ( member(X3,X1)
& member(X5,X2) )
=> ( apply(X6,X3,X5)
<=> apply(inverse_function(X6,X1,X2),X5,X3) ) ),
c_0_11 ).
fof(c_0_40,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 ) ) ),
c_0_12 ).
fof(c_0_41,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( injective(X6,X1,X2)
& surjective(X6,X1,X2) ) ),
c_0_13 ).
fof(c_0_42,axiom,
! [X6,X2,X3] :
( member(X3,inverse_image2(X6,X2))
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) ),
c_0_14 ).
fof(c_0_43,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
c_0_15 ).
fof(c_0_44,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
c_0_16 ).
fof(c_0_45,axiom,
! [X3,X1,X2] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
c_0_17 ).
fof(c_0_46,plain,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_47,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
c_0_19 ).
fof(c_0_48,axiom,
! [X3,X1] :
( member(X3,product(X1))
<=> ! [X5] :
( member(X5,X1)
=> member(X3,X5) ) ),
c_0_20 ).
fof(c_0_49,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
c_0_21 ).
fof(c_0_50,axiom,
! [X3,X1] :
( member(X3,sum(X1))
<=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) ),
c_0_22 ).
fof(c_0_51,axiom,
! [X3,X1,X2] :
( member(X3,unordered_pair(X1,X2))
<=> ( X3 = X1
| X3 = X2 ) ),
c_0_23 ).
fof(c_0_52,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
c_0_24 ).
fof(c_0_53,axiom,
! [X3,X1] :
( member(X3,power_set(X1))
<=> subset(X3,X1) ),
c_0_25 ).
fof(c_0_54,axiom,
! [X3,X1] :
( member(X3,singleton(X1))
<=> X3 = X1 ),
c_0_26 ).
fof(c_0_55,plain,
! [X3] : ~ member(X3,empty_set),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_56,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20,X22,X23,X24,X25,X26,X27,X28,X31] :
( ( member(esk9_8(X13,X14,X15,X16,X17,X18,X19,X20),X17)
| ~ apply(X13,X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18)
| ~ compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( apply(X15,X19,esk9_8(X13,X14,X15,X16,X17,X18,X19,X20))
| ~ apply(X13,X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18)
| ~ compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( apply(X14,esk9_8(X13,X14,X15,X16,X17,X18,X19,X20),X20)
| ~ apply(X13,X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18)
| ~ compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( ~ member(X22,X17)
| ~ apply(X15,X19,X22)
| ~ apply(X14,X22,X20)
| apply(X13,X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18)
| ~ compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( member(esk10_6(X23,X24,X25,X26,X27,X28),X26)
| compose_predicate(X23,X24,X25,X26,X27,X28) )
& ( member(esk11_6(X23,X24,X25,X26,X27,X28),X28)
| compose_predicate(X23,X24,X25,X26,X27,X28) )
& ( ~ apply(X23,esk10_6(X23,X24,X25,X26,X27,X28),esk11_6(X23,X24,X25,X26,X27,X28))
| ~ member(X31,X27)
| ~ apply(X25,esk10_6(X23,X24,X25,X26,X27,X28),X31)
| ~ apply(X24,X31,esk11_6(X23,X24,X25,X26,X27,X28))
| compose_predicate(X23,X24,X25,X26,X27,X28) )
& ( member(esk12_6(X23,X24,X25,X26,X27,X28),X27)
| apply(X23,esk10_6(X23,X24,X25,X26,X27,X28),esk11_6(X23,X24,X25,X26,X27,X28))
| compose_predicate(X23,X24,X25,X26,X27,X28) )
& ( apply(X25,esk10_6(X23,X24,X25,X26,X27,X28),esk12_6(X23,X24,X25,X26,X27,X28))
| apply(X23,esk10_6(X23,X24,X25,X26,X27,X28),esk11_6(X23,X24,X25,X26,X27,X28))
| compose_predicate(X23,X24,X25,X26,X27,X28) )
& ( apply(X24,esk12_6(X23,X24,X25,X26,X27,X28),esk11_6(X23,X24,X25,X26,X27,X28))
| apply(X23,esk10_6(X23,X24,X25,X26,X27,X28),esk11_6(X23,X24,X25,X26,X27,X28))
| compose_predicate(X23,X24,X25,X26,X27,X28) ) ),
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)],[c_0_28])])])])])]) ).
fof(c_0_57,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk13_7(X13,X14,X15,X16,X17,X18,X19),X16)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X14,X18,esk13_7(X13,X14,X15,X16,X17,X18,X19))
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X13,esk13_7(X13,X14,X15,X16,X17,X18,X19),X19)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( ~ member(X21,X16)
| ~ apply(X14,X18,X21)
| ~ apply(X13,X21,X19)
| apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
fof(c_0_58,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30] :
( ( maps(X17,X18,X20)
| ~ isomorphism(X17,X18,X19,X20,X21) )
& ( one_to_one(X17,X18,X20)
| ~ isomorphism(X17,X18,X19,X20,X21) )
& ( ~ apply(X19,X22,X24)
| apply(X21,X23,X25)
| ~ member(X22,X18)
| ~ member(X23,X20)
| ~ member(X24,X18)
| ~ member(X25,X20)
| ~ apply(X17,X22,X23)
| ~ apply(X17,X24,X25)
| ~ isomorphism(X17,X18,X19,X20,X21) )
& ( ~ apply(X21,X23,X25)
| apply(X19,X22,X24)
| ~ member(X22,X18)
| ~ member(X23,X20)
| ~ member(X24,X18)
| ~ member(X25,X20)
| ~ apply(X17,X22,X23)
| ~ apply(X17,X24,X25)
| ~ isomorphism(X17,X18,X19,X20,X21) )
& ( member(esk37_5(X26,X27,X28,X29,X30),X27)
| ~ one_to_one(X26,X27,X29)
| ~ maps(X26,X27,X29)
| isomorphism(X26,X27,X28,X29,X30) )
& ( member(esk38_5(X26,X27,X28,X29,X30),X29)
| ~ one_to_one(X26,X27,X29)
| ~ maps(X26,X27,X29)
| isomorphism(X26,X27,X28,X29,X30) )
& ( member(esk39_5(X26,X27,X28,X29,X30),X27)
| ~ one_to_one(X26,X27,X29)
| ~ maps(X26,X27,X29)
| isomorphism(X26,X27,X28,X29,X30) )
& ( member(esk40_5(X26,X27,X28,X29,X30),X29)
| ~ one_to_one(X26,X27,X29)
| ~ maps(X26,X27,X29)
| isomorphism(X26,X27,X28,X29,X30) )
& ( apply(X26,esk37_5(X26,X27,X28,X29,X30),esk38_5(X26,X27,X28,X29,X30))
| ~ one_to_one(X26,X27,X29)
| ~ maps(X26,X27,X29)
| isomorphism(X26,X27,X28,X29,X30) )
& ( apply(X26,esk39_5(X26,X27,X28,X29,X30),esk40_5(X26,X27,X28,X29,X30))
| ~ one_to_one(X26,X27,X29)
| ~ maps(X26,X27,X29)
| isomorphism(X26,X27,X28,X29,X30) )
& ( ~ apply(X28,esk37_5(X26,X27,X28,X29,X30),esk39_5(X26,X27,X28,X29,X30))
| ~ apply(X30,esk38_5(X26,X27,X28,X29,X30),esk40_5(X26,X27,X28,X29,X30))
| ~ one_to_one(X26,X27,X29)
| ~ maps(X26,X27,X29)
| isomorphism(X26,X27,X28,X29,X30) )
& ( apply(X28,esk37_5(X26,X27,X28,X29,X30),esk39_5(X26,X27,X28,X29,X30))
| apply(X30,esk38_5(X26,X27,X28,X29,X30),esk40_5(X26,X27,X28,X29,X30))
| ~ one_to_one(X26,X27,X29)
| ~ maps(X26,X27,X29)
| isomorphism(X26,X27,X28,X29,X30) ) ),
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)],[c_0_30])])])])])]) ).
fof(c_0_59,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30] :
( ( ~ decreasing(X17,X18,X19,X20,X21)
| ~ member(X22,X18)
| ~ member(X23,X20)
| ~ member(X24,X18)
| ~ member(X25,X20)
| ~ apply(X19,X22,X24)
| ~ apply(X17,X22,X23)
| ~ apply(X17,X24,X25)
| apply(X21,X25,X23) )
& ( member(esk33_5(X26,X27,X28,X29,X30),X27)
| decreasing(X26,X27,X28,X29,X30) )
& ( member(esk34_5(X26,X27,X28,X29,X30),X29)
| decreasing(X26,X27,X28,X29,X30) )
& ( member(esk35_5(X26,X27,X28,X29,X30),X27)
| decreasing(X26,X27,X28,X29,X30) )
& ( member(esk36_5(X26,X27,X28,X29,X30),X29)
| decreasing(X26,X27,X28,X29,X30) )
& ( apply(X28,esk33_5(X26,X27,X28,X29,X30),esk35_5(X26,X27,X28,X29,X30))
| decreasing(X26,X27,X28,X29,X30) )
& ( apply(X26,esk33_5(X26,X27,X28,X29,X30),esk34_5(X26,X27,X28,X29,X30))
| decreasing(X26,X27,X28,X29,X30) )
& ( apply(X26,esk35_5(X26,X27,X28,X29,X30),esk36_5(X26,X27,X28,X29,X30))
| decreasing(X26,X27,X28,X29,X30) )
& ( ~ apply(X30,esk36_5(X26,X27,X28,X29,X30),esk34_5(X26,X27,X28,X29,X30))
| decreasing(X26,X27,X28,X29,X30) ) ),
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)],[c_0_31])])])])])]) ).
fof(c_0_60,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30] :
( ( ~ increasing(X17,X18,X19,X20,X21)
| ~ member(X22,X18)
| ~ member(X23,X20)
| ~ member(X24,X18)
| ~ member(X25,X20)
| ~ apply(X19,X22,X24)
| ~ apply(X17,X22,X23)
| ~ apply(X17,X24,X25)
| apply(X21,X23,X25) )
& ( member(esk29_5(X26,X27,X28,X29,X30),X27)
| increasing(X26,X27,X28,X29,X30) )
& ( member(esk30_5(X26,X27,X28,X29,X30),X29)
| increasing(X26,X27,X28,X29,X30) )
& ( member(esk31_5(X26,X27,X28,X29,X30),X27)
| increasing(X26,X27,X28,X29,X30) )
& ( member(esk32_5(X26,X27,X28,X29,X30),X29)
| increasing(X26,X27,X28,X29,X30) )
& ( apply(X28,esk29_5(X26,X27,X28,X29,X30),esk31_5(X26,X27,X28,X29,X30))
| increasing(X26,X27,X28,X29,X30) )
& ( apply(X26,esk29_5(X26,X27,X28,X29,X30),esk30_5(X26,X27,X28,X29,X30))
| increasing(X26,X27,X28,X29,X30) )
& ( apply(X26,esk31_5(X26,X27,X28,X29,X30),esk32_5(X26,X27,X28,X29,X30))
| increasing(X26,X27,X28,X29,X30) )
& ( ~ apply(X30,esk30_5(X26,X27,X28,X29,X30),esk32_5(X26,X27,X28,X29,X30))
| increasing(X26,X27,X28,X29,X30) ) ),
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)],[c_0_32])])])])])]) ).
fof(c_0_61,plain,
! [X11,X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( ( ~ apply(X12,X15,X16)
| apply(X11,X16,X15)
| ~ member(X15,X13)
| ~ member(X16,X14)
| ~ inverse_predicate(X11,X12,X13,X14) )
& ( ~ apply(X11,X16,X15)
| apply(X12,X15,X16)
| ~ member(X15,X13)
| ~ member(X16,X14)
| ~ inverse_predicate(X11,X12,X13,X14) )
& ( member(esk23_4(X17,X18,X19,X20),X19)
| inverse_predicate(X17,X18,X19,X20) )
& ( member(esk24_4(X17,X18,X19,X20),X20)
| inverse_predicate(X17,X18,X19,X20) )
& ( ~ apply(X18,esk23_4(X17,X18,X19,X20),esk24_4(X17,X18,X19,X20))
| ~ apply(X17,esk24_4(X17,X18,X19,X20),esk23_4(X17,X18,X19,X20))
| inverse_predicate(X17,X18,X19,X20) )
& ( apply(X18,esk23_4(X17,X18,X19,X20),esk24_4(X17,X18,X19,X20))
| apply(X17,esk24_4(X17,X18,X19,X20),esk23_4(X17,X18,X19,X20))
| inverse_predicate(X17,X18,X19,X20) ) ),
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)],[c_0_33])])])])])]) ).
fof(c_0_62,plain,
! [X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ( ~ equal_maps(X11,X12,X13,X14)
| ~ member(X15,X13)
| ~ member(X16,X14)
| ~ member(X17,X14)
| ~ apply(X11,X15,X16)
| ~ apply(X12,X15,X17)
| X16 = X17 )
& ( member(esk14_4(X18,X19,X20,X21),X20)
| equal_maps(X18,X19,X20,X21) )
& ( member(esk15_4(X18,X19,X20,X21),X21)
| equal_maps(X18,X19,X20,X21) )
& ( member(esk16_4(X18,X19,X20,X21),X21)
| equal_maps(X18,X19,X20,X21) )
& ( apply(X18,esk14_4(X18,X19,X20,X21),esk15_4(X18,X19,X20,X21))
| equal_maps(X18,X19,X20,X21) )
& ( apply(X19,esk14_4(X18,X19,X20,X21),esk16_4(X18,X19,X20,X21))
| equal_maps(X18,X19,X20,X21) )
& ( esk15_4(X18,X19,X20,X21) != esk16_4(X18,X19,X20,X21)
| equal_maps(X18,X19,X20,X21) ) ),
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)],[c_0_34])])])])])]) ).
fof(c_0_63,plain,
! [X7,X8,X9,X10,X12,X13,X14,X15,X16] :
( ( member(X10,X9)
| ~ member(X10,inverse_image3(X7,X8,X9)) )
& ( member(esk28_4(X7,X8,X9,X10),X8)
| ~ member(X10,inverse_image3(X7,X8,X9)) )
& ( apply(X7,X10,esk28_4(X7,X8,X9,X10))
| ~ member(X10,inverse_image3(X7,X8,X9)) )
& ( ~ member(X15,X14)
| ~ member(X16,X13)
| ~ apply(X12,X15,X16)
| member(X15,inverse_image3(X12,X13,X14)) ) ),
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)],[c_0_35])])])])])]) ).
fof(c_0_64,plain,
! [X7,X8,X9,X10,X12,X13,X14,X15,X16] :
( ( member(X10,X9)
| ~ member(X10,image3(X7,X8,X9)) )
& ( member(esk26_4(X7,X8,X9,X10),X8)
| ~ member(X10,image3(X7,X8,X9)) )
& ( apply(X7,esk26_4(X7,X8,X9,X10),X10)
| ~ member(X10,image3(X7,X8,X9)) )
& ( ~ member(X15,X14)
| ~ member(X16,X13)
| ~ apply(X12,X16,X15)
| member(X15,image3(X12,X13,X14)) ) ),
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)],[c_0_36])])])])])]) ).
fof(c_0_65,plain,
! [X7,X8,X9,X10,X12,X13,X14,X16] :
( ( member(esk21_4(X7,X8,X9,X10),X8)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( apply(X7,esk21_4(X7,X8,X9,X10),X10)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( member(esk22_3(X12,X13,X14),X14)
| surjective(X12,X13,X14) )
& ( ~ member(X16,X13)
| ~ apply(X12,X16,esk22_3(X12,X13,X14))
| surjective(X12,X13,X14) ) ),
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)],[c_0_37])])])])])]) ).
fof(c_0_66,plain,
! [X9,X10,X11,X12,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk4_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk4_4(X9,X10,X11,X12))
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( ~ member(X14,X10)
| ~ member(X15,X11)
| ~ member(X16,X11)
| ~ apply(X9,X14,X15)
| ~ apply(X9,X14,X16)
| X15 = X16
| ~ maps(X9,X10,X11) )
& ( member(esk6_3(X17,X18,X19),X18)
| member(esk5_3(X17,X18,X19),X18)
| maps(X17,X18,X19) )
& ( member(esk7_3(X17,X18,X19),X19)
| member(esk5_3(X17,X18,X19),X18)
| maps(X17,X18,X19) )
& ( member(esk8_3(X17,X18,X19),X19)
| member(esk5_3(X17,X18,X19),X18)
| maps(X17,X18,X19) )
& ( apply(X17,esk6_3(X17,X18,X19),esk7_3(X17,X18,X19))
| member(esk5_3(X17,X18,X19),X18)
| maps(X17,X18,X19) )
& ( apply(X17,esk6_3(X17,X18,X19),esk8_3(X17,X18,X19))
| member(esk5_3(X17,X18,X19),X18)
| maps(X17,X18,X19) )
& ( esk7_3(X17,X18,X19) != esk8_3(X17,X18,X19)
| member(esk5_3(X17,X18,X19),X18)
| maps(X17,X18,X19) )
& ( member(esk6_3(X17,X18,X19),X18)
| ~ member(X21,X19)
| ~ apply(X17,esk5_3(X17,X18,X19),X21)
| maps(X17,X18,X19) )
& ( member(esk7_3(X17,X18,X19),X19)
| ~ member(X21,X19)
| ~ apply(X17,esk5_3(X17,X18,X19),X21)
| maps(X17,X18,X19) )
& ( member(esk8_3(X17,X18,X19),X19)
| ~ member(X21,X19)
| ~ apply(X17,esk5_3(X17,X18,X19),X21)
| maps(X17,X18,X19) )
& ( apply(X17,esk6_3(X17,X18,X19),esk7_3(X17,X18,X19))
| ~ member(X21,X19)
| ~ apply(X17,esk5_3(X17,X18,X19),X21)
| maps(X17,X18,X19) )
& ( apply(X17,esk6_3(X17,X18,X19),esk8_3(X17,X18,X19))
| ~ member(X21,X19)
| ~ apply(X17,esk5_3(X17,X18,X19),X21)
| maps(X17,X18,X19) )
& ( esk7_3(X17,X18,X19) != esk8_3(X17,X18,X19)
| ~ member(X21,X19)
| ~ apply(X17,esk5_3(X17,X18,X19),X21)
| maps(X17,X18,X19) ) ),
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)],[c_0_38])])])])])]) ).
fof(c_0_67,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ apply(X7,X10,X11)
| apply(inverse_function(X7,X8,X9),X11,X10)
| ~ member(X10,X8)
| ~ member(X11,X9) )
& ( ~ apply(inverse_function(X7,X8,X9),X11,X10)
| apply(X7,X10,X11)
| ~ member(X10,X8)
| ~ member(X11,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_68,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ~ injective(X15,X16,X17)
| ~ member(X18,X16)
| ~ member(X19,X16)
| ~ member(X20,X17)
| ~ apply(X15,X18,X20)
| ~ apply(X15,X19,X20)
| X18 = X19 )
& ( member(esk18_3(X21,X22,X23),X22)
| injective(X21,X22,X23) )
& ( member(esk19_3(X21,X22,X23),X22)
| injective(X21,X22,X23) )
& ( member(esk20_3(X21,X22,X23),X23)
| injective(X21,X22,X23) )
& ( apply(X21,esk18_3(X21,X22,X23),esk20_3(X21,X22,X23))
| injective(X21,X22,X23) )
& ( apply(X21,esk19_3(X21,X22,X23),esk20_3(X21,X22,X23))
| injective(X21,X22,X23) )
& ( esk18_3(X21,X22,X23) != esk19_3(X21,X22,X23)
| injective(X21,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)],[c_0_40])])])])])]) ).
fof(c_0_69,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( injective(X7,X8,X9)
| ~ one_to_one(X7,X8,X9) )
& ( surjective(X7,X8,X9)
| ~ one_to_one(X7,X8,X9) )
& ( ~ injective(X10,X11,X12)
| ~ surjective(X10,X11,X12)
| one_to_one(X10,X11,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])]) ).
fof(c_0_70,plain,
! [X7,X8,X9,X11,X12,X13,X14] :
( ( member(esk27_3(X7,X8,X9),X8)
| ~ member(X9,inverse_image2(X7,X8)) )
& ( apply(X7,X9,esk27_3(X7,X8,X9))
| ~ member(X9,inverse_image2(X7,X8)) )
& ( ~ member(X14,X12)
| ~ apply(X11,X13,X14)
| member(X13,inverse_image2(X11,X12)) ) ),
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)],[c_0_42])])])])])]) ).
fof(c_0_71,plain,
! [X7,X8,X9,X11,X12,X13,X14] :
( ( member(esk25_3(X7,X8,X9),X8)
| ~ member(X9,image2(X7,X8)) )
& ( apply(X7,esk25_3(X7,X8,X9),X9)
| ~ member(X9,image2(X7,X8)) )
& ( ~ member(X14,X12)
| ~ apply(X11,X14,X13)
| member(X13,image2(X11,X12)) ) ),
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)],[c_0_43])])])])])]) ).
fof(c_0_72,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ identity(X7,X8)
| ~ member(X9,X8)
| apply(X7,X9,X9) )
& ( member(esk17_2(X10,X11),X11)
| identity(X10,X11) )
& ( ~ apply(X10,esk17_2(X10,X11),esk17_2(X10,X11))
| identity(X10,X11) ) ),
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)],[c_0_44])])])])])]) ).
fof(c_0_73,plain,
! [X4,X5,X6,X7,X8,X9] :
( ( ~ member(X4,union(X5,X6))
| member(X4,X5)
| member(X4,X6) )
& ( ~ member(X7,X8)
| member(X7,union(X8,X9)) )
& ( ~ member(X7,X9)
| member(X7,union(X8,X9)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])]) ).
fof(c_0_74,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( member(X5,X7)
| ~ member(X5,difference(X7,X6)) )
& ( ~ member(X5,X6)
| ~ member(X5,difference(X7,X6)) )
& ( ~ member(X8,X10)
| member(X8,X9)
| member(X8,difference(X10,X9)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])])]) ).
fof(c_0_75,plain,
! [X4,X5,X6,X7,X8,X9] :
( ( member(X4,X5)
| ~ member(X4,intersection(X5,X6)) )
& ( member(X4,X6)
| ~ member(X4,intersection(X5,X6)) )
& ( ~ member(X7,X8)
| ~ member(X7,X9)
| member(X7,intersection(X8,X9)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])])]) ).
fof(c_0_76,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ member(X6,product(X7))
| ~ member(X8,X7)
| member(X6,X8) )
& ( member(esk3_2(X9,X10),X10)
| member(X9,product(X10)) )
& ( ~ member(X9,esk3_2(X9,X10))
| member(X9,product(X10)) ) ),
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)],[c_0_48])])])])])]) ).
fof(c_0_77,plain,
! [X4,X5,X6,X7,X8] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk1_2(X7,X8),X7)
| subset(X7,X8) )
& ( ~ member(esk1_2(X7,X8),X8)
| subset(X7,X8) ) ),
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)],[c_0_49])])])])])]) ).
fof(c_0_78,plain,
! [X6,X7,X9,X10,X11] :
( ( member(esk2_2(X6,X7),X7)
| ~ member(X6,sum(X7)) )
& ( member(X6,esk2_2(X6,X7))
| ~ member(X6,sum(X7)) )
& ( ~ member(X11,X10)
| ~ member(X9,X11)
| member(X9,sum(X10)) ) ),
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)],[c_0_50])])])])])]) ).
fof(c_0_79,plain,
! [X4,X5,X6,X7,X8,X9] :
( ( ~ member(X4,unordered_pair(X5,X6))
| X4 = X5
| X4 = X6 )
& ( X7 != X8
| member(X7,unordered_pair(X8,X9)) )
& ( X7 != X9
| member(X7,unordered_pair(X8,X9)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])])]) ).
fof(c_0_80,plain,
! [X3,X4,X5,X6] :
( ( subset(X3,X4)
| ~ equal_set(X3,X4) )
& ( subset(X4,X3)
| ~ equal_set(X3,X4) )
& ( ~ subset(X5,X6)
| ~ subset(X6,X5)
| equal_set(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])]) ).
fof(c_0_81,plain,
! [X4,X5,X6,X7] :
( ( ~ member(X4,power_set(X5))
| subset(X4,X5) )
& ( ~ subset(X6,X7)
| member(X6,power_set(X7)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
fof(c_0_82,plain,
! [X4,X5,X6,X7] :
( ( ~ member(X4,singleton(X5))
| X4 = X5 )
& ( X6 != X7
| member(X6,singleton(X7)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])]) ).
fof(c_0_83,plain,
! [X4] : ~ member(X4,empty_set),
inference(variable_rename,[status(thm)],[c_0_55]) ).
cnf(c_0_84,plain,
( apply(X3,X8,esk9_8(X1,X2,X3,X4,X5,X6,X8,X7))
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_85,plain,
( apply(X2,esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_86,plain,
( member(esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X5)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_87,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ apply(X2,X7,esk11_6(X1,X2,X3,X4,X5,X6))
| ~ apply(X3,esk10_6(X1,X2,X3,X4,X5,X6),X7)
| ~ member(X7,X5)
| ~ apply(X1,esk10_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_88,plain,
( apply(X6,X3,esk13_7(X5,X6,X4,X7,X2,X3,X1))
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_89,plain,
( apply(X5,esk13_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_90,plain,
( member(esk13_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_91,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,esk10_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6))
| apply(X3,esk10_6(X1,X2,X3,X4,X5,X6),esk12_6(X1,X2,X3,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_92,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,esk10_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6))
| apply(X2,esk12_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_93,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,esk10_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6))
| member(esk12_6(X1,X2,X3,X4,X5,X6),X5) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_94,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| member(esk10_6(X1,X2,X3,X4,X5,X6),X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_95,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| member(esk11_6(X1,X2,X3,X4,X5,X6),X6) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_96,plain,
( isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4)
| ~ apply(X5,esk38_5(X1,X2,X3,X4,X5),esk40_5(X1,X2,X3,X4,X5))
| ~ apply(X3,esk37_5(X1,X2,X3,X4,X5),esk39_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_97,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X5,esk38_5(X1,X2,X3,X4,X5),esk40_5(X1,X2,X3,X4,X5))
| apply(X3,esk37_5(X1,X2,X3,X4,X5),esk39_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_98,plain,
( apply(X1,X8,X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X2,X9,X7)
| ~ apply(X3,X8,X9)
| ~ member(X9,X5) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_99,plain,
( decreasing(X1,X2,X3,X4,X5)
| ~ apply(X5,esk36_5(X1,X2,X3,X4,X5),esk34_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_100,plain,
( increasing(X1,X2,X3,X4,X5)
| ~ apply(X5,esk30_5(X1,X2,X3,X4,X5),esk32_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_101,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,esk37_5(X1,X2,X3,X4,X5),esk38_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_102,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,esk39_5(X1,X2,X3,X4,X5),esk40_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_103,plain,
( decreasing(X1,X2,X3,X4,X5)
| apply(X3,esk33_5(X1,X2,X3,X4,X5),esk35_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_104,plain,
( decreasing(X1,X2,X3,X4,X5)
| apply(X1,esk33_5(X1,X2,X3,X4,X5),esk34_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_105,plain,
( decreasing(X1,X2,X3,X4,X5)
| apply(X1,esk35_5(X1,X2,X3,X4,X5),esk36_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_106,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X3,esk29_5(X1,X2,X3,X4,X5),esk31_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_107,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,esk29_5(X1,X2,X3,X4,X5),esk30_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_108,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,esk31_5(X1,X2,X3,X4,X5),esk32_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_109,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk37_5(X1,X2,X3,X4,X5),X2)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_110,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk38_5(X1,X2,X3,X4,X5),X4)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_111,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk39_5(X1,X2,X3,X4,X5),X2)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_112,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk40_5(X1,X2,X3,X4,X5),X4)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_113,plain,
( decreasing(X1,X2,X3,X4,X5)
| member(esk33_5(X1,X2,X3,X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_114,plain,
( decreasing(X1,X2,X3,X4,X5)
| member(esk34_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_115,plain,
( decreasing(X1,X2,X3,X4,X5)
| member(esk35_5(X1,X2,X3,X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_116,plain,
( decreasing(X1,X2,X3,X4,X5)
| member(esk36_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_117,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk29_5(X1,X2,X3,X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_118,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk30_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_119,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk31_5(X1,X2,X3,X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_120,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk32_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_121,plain,
( inverse_predicate(X1,X2,X3,X4)
| ~ apply(X1,esk24_4(X1,X2,X3,X4),esk23_4(X1,X2,X3,X4))
| ~ apply(X2,esk23_4(X1,X2,X3,X4),esk24_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_122,plain,
( apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_123,plain,
( inverse_predicate(X1,X2,X3,X4)
| apply(X1,esk24_4(X1,X2,X3,X4),esk23_4(X1,X2,X3,X4))
| apply(X2,esk23_4(X1,X2,X3,X4),esk24_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_124,plain,
( apply(X5,X9,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_125,plain,
( apply(X3,X8,X6)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_126,plain,
( apply(X1,X2,X3)
| ~ apply(X4,X5,X2)
| ~ apply(X4,X6,X3)
| ~ apply(X7,X6,X5)
| ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_127,plain,
( apply(X1,X2,X3)
| ~ apply(X4,X5,X3)
| ~ apply(X4,X6,X2)
| ~ apply(X7,X6,X5)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_128,plain,
( maps(X1,X2,X4)
| ~ isomorphism(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_129,plain,
( one_to_one(X1,X2,X4)
| ~ isomorphism(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_130,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk14_4(X1,X2,X3,X4),esk15_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_131,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk14_4(X1,X2,X3,X4),esk16_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_132,plain,
( equal_maps(X1,X2,X3,X4)
| esk15_4(X1,X2,X3,X4) != esk16_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_133,plain,
( inverse_predicate(X1,X2,X3,X4)
| member(esk23_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_134,plain,
( inverse_predicate(X1,X2,X3,X4)
| member(esk24_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_135,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk14_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_136,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk15_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_137,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk16_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_138,plain,
( apply(X2,X1,esk28_4(X2,X3,X4,X1))
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_139,plain,
( apply(X2,esk26_4(X2,X3,X4,X1),X1)
| ~ member(X1,image3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_140,plain,
( member(esk28_4(X2,X3,X4,X1),X3)
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_141,plain,
( member(esk26_4(X2,X3,X4,X1),X3)
| ~ member(X1,image3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_142,plain,
( apply(X1,esk21_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_143,plain,
( apply(X1,X4,esk4_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_144,plain,
( X1 = X2
| ~ apply(X3,X4,X2)
| ~ apply(X5,X4,X1)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_145,plain,
( member(esk21_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_146,plain,
( member(esk4_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_147,plain,
( maps(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_148,plain,
( maps(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3))
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_149,plain,
( apply(X1,X5,X6)
| ~ inverse_predicate(X1,X2,X3,X4)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X2,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_150,plain,
( apply(X2,X6,X5)
| ~ inverse_predicate(X1,X2,X3,X4)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_151,plain,
( maps(X1,X2,X3)
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| esk7_3(X1,X2,X3) != esk8_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_152,plain,
( maps(X1,X2,X3)
| member(esk6_3(X1,X2,X3),X2)
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_153,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X3)
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_154,plain,
( maps(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X3)
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_155,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| apply(X1,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_156,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_157,plain,
( apply(X5,X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_158,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| esk7_3(X1,X2,X3) != esk8_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_159,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk22_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_160,plain,
( X1 = X2
| ~ apply(X3,X2,X4)
| ~ apply(X3,X1,X4)
| ~ member(X4,X5)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_161,plain,
( X4 = X5
| ~ maps(X1,X2,X3)
| ~ apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_162,plain,
( injective(X1,X2,X3)
| apply(X1,esk18_3(X1,X2,X3),esk20_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_163,plain,
( injective(X1,X2,X3)
| apply(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_164,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk6_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_165,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk7_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_166,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk8_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_167,plain,
( apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_168,plain,
( member(X1,inverse_image3(X2,X3,X4))
| ~ apply(X2,X1,X5)
| ~ member(X5,X3)
| ~ member(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_169,plain,
( member(X1,image3(X2,X3,X4))
| ~ apply(X2,X5,X1)
| ~ member(X5,X3)
| ~ member(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_170,plain,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_171,plain,
( injective(X1,X2,X3)
| esk18_3(X1,X2,X3) != esk19_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_172,plain,
( apply(X2,X1,esk27_3(X2,X3,X1))
| ~ member(X1,inverse_image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_173,plain,
( apply(X2,esk25_3(X2,X3,X1),X1)
| ~ member(X1,image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_174,plain,
( member(X1,X4)
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_175,plain,
( member(X1,X4)
| ~ member(X1,image3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_176,plain,
( member(esk27_3(X2,X3,X1),X3)
| ~ member(X1,inverse_image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_177,plain,
( member(esk25_3(X2,X3,X1),X3)
| ~ member(X1,image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_178,plain,
( identity(X1,X2)
| ~ apply(X1,esk17_2(X1,X2),esk17_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_179,plain,
( surjective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_180,plain,
( injective(X1,X2,X3)
| member(esk18_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_181,plain,
( injective(X1,X2,X3)
| member(esk19_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_182,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_183,plain,
( member(X1,inverse_image2(X2,X3))
| ~ apply(X2,X1,X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_184,plain,
( member(X1,image2(X2,X3))
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_185,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_186,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_187,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ identity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_188,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_189,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_190,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_191,plain,
( member(X1,product(X2))
| ~ member(X1,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_192,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_193,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_194,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_195,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_196,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_197,plain,
( member(esk2_2(X1,X2),X2)
| ~ member(X1,sum(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_198,plain,
( member(X1,esk2_2(X1,X2))
| ~ member(X1,sum(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_199,plain,
( member(X1,X2)
| ~ member(X2,X3)
| ~ member(X1,product(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_200,plain,
( X1 = X2
| X1 = X3
| ~ member(X1,unordered_pair(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_201,plain,
( member(X1,sum(X2))
| ~ member(X1,X3)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_202,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_203,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_204,plain,
( member(X1,product(X2))
| member(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_205,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_206,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_207,plain,
( identity(X1,X2)
| member(esk17_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_208,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_209,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_210,plain,
( member(X1,unordered_pair(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_211,plain,
( member(X1,unordered_pair(X2,X3))
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_212,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_213,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_214,plain,
( subset(X2,X1)
| ~ equal_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_215,plain,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_216,plain,
( member(X1,singleton(X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_217,plain,
~ member(X1,empty_set),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_218,plain,
( apply(X3,X8,esk9_8(X1,X2,X3,X4,X5,X6,X8,X7))
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
c_0_84,
[final] ).
cnf(c_0_219,plain,
( apply(X2,esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
c_0_85,
[final] ).
cnf(c_0_220,plain,
( member(esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X5)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
c_0_86,
[final] ).
cnf(c_0_221,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ apply(X2,X7,esk11_6(X1,X2,X3,X4,X5,X6))
| ~ apply(X3,esk10_6(X1,X2,X3,X4,X5,X6),X7)
| ~ member(X7,X5)
| ~ apply(X1,esk10_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6)) ),
c_0_87,
[final] ).
cnf(c_0_222,plain,
( apply(X6,X3,esk13_7(X5,X6,X4,X7,X2,X3,X1))
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
c_0_88,
[final] ).
cnf(c_0_223,plain,
( apply(X5,esk13_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
c_0_89,
[final] ).
cnf(c_0_224,plain,
( member(esk13_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
c_0_90,
[final] ).
cnf(c_0_225,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,esk10_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6))
| apply(X3,esk10_6(X1,X2,X3,X4,X5,X6),esk12_6(X1,X2,X3,X4,X5,X6)) ),
c_0_91,
[final] ).
cnf(c_0_226,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,esk10_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6))
| apply(X2,esk12_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6)) ),
c_0_92,
[final] ).
cnf(c_0_227,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,esk10_6(X1,X2,X3,X4,X5,X6),esk11_6(X1,X2,X3,X4,X5,X6))
| member(esk12_6(X1,X2,X3,X4,X5,X6),X5) ),
c_0_93,
[final] ).
cnf(c_0_228,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| member(esk10_6(X1,X2,X3,X4,X5,X6),X4) ),
c_0_94,
[final] ).
cnf(c_0_229,plain,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| member(esk11_6(X1,X2,X3,X4,X5,X6),X6) ),
c_0_95,
[final] ).
cnf(c_0_230,plain,
( isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4)
| ~ apply(X5,esk38_5(X1,X2,X3,X4,X5),esk40_5(X1,X2,X3,X4,X5))
| ~ apply(X3,esk37_5(X1,X2,X3,X4,X5),esk39_5(X1,X2,X3,X4,X5)) ),
c_0_96,
[final] ).
cnf(c_0_231,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X5,esk38_5(X1,X2,X3,X4,X5),esk40_5(X1,X2,X3,X4,X5))
| apply(X3,esk37_5(X1,X2,X3,X4,X5),esk39_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
c_0_97,
[final] ).
cnf(c_0_232,plain,
( apply(X1,X8,X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X2,X9,X7)
| ~ apply(X3,X8,X9)
| ~ member(X9,X5) ),
c_0_98,
[final] ).
cnf(c_0_233,plain,
( decreasing(X1,X2,X3,X4,X5)
| ~ apply(X5,esk36_5(X1,X2,X3,X4,X5),esk34_5(X1,X2,X3,X4,X5)) ),
c_0_99,
[final] ).
cnf(c_0_234,plain,
( increasing(X1,X2,X3,X4,X5)
| ~ apply(X5,esk30_5(X1,X2,X3,X4,X5),esk32_5(X1,X2,X3,X4,X5)) ),
c_0_100,
[final] ).
cnf(c_0_235,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,esk37_5(X1,X2,X3,X4,X5),esk38_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
c_0_101,
[final] ).
cnf(c_0_236,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,esk39_5(X1,X2,X3,X4,X5),esk40_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
c_0_102,
[final] ).
cnf(c_0_237,plain,
( decreasing(X1,X2,X3,X4,X5)
| apply(X3,esk33_5(X1,X2,X3,X4,X5),esk35_5(X1,X2,X3,X4,X5)) ),
c_0_103,
[final] ).
cnf(c_0_238,plain,
( decreasing(X1,X2,X3,X4,X5)
| apply(X1,esk33_5(X1,X2,X3,X4,X5),esk34_5(X1,X2,X3,X4,X5)) ),
c_0_104,
[final] ).
cnf(c_0_239,plain,
( decreasing(X1,X2,X3,X4,X5)
| apply(X1,esk35_5(X1,X2,X3,X4,X5),esk36_5(X1,X2,X3,X4,X5)) ),
c_0_105,
[final] ).
cnf(c_0_240,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X3,esk29_5(X1,X2,X3,X4,X5),esk31_5(X1,X2,X3,X4,X5)) ),
c_0_106,
[final] ).
cnf(c_0_241,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,esk29_5(X1,X2,X3,X4,X5),esk30_5(X1,X2,X3,X4,X5)) ),
c_0_107,
[final] ).
cnf(c_0_242,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,esk31_5(X1,X2,X3,X4,X5),esk32_5(X1,X2,X3,X4,X5)) ),
c_0_108,
[final] ).
cnf(c_0_243,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk37_5(X1,X2,X3,X4,X5),X2)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
c_0_109,
[final] ).
cnf(c_0_244,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk38_5(X1,X2,X3,X4,X5),X4)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
c_0_110,
[final] ).
cnf(c_0_245,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk39_5(X1,X2,X3,X4,X5),X2)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
c_0_111,
[final] ).
cnf(c_0_246,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk40_5(X1,X2,X3,X4,X5),X4)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
c_0_112,
[final] ).
cnf(c_0_247,plain,
( decreasing(X1,X2,X3,X4,X5)
| member(esk33_5(X1,X2,X3,X4,X5),X2) ),
c_0_113,
[final] ).
cnf(c_0_248,plain,
( decreasing(X1,X2,X3,X4,X5)
| member(esk34_5(X1,X2,X3,X4,X5),X4) ),
c_0_114,
[final] ).
cnf(c_0_249,plain,
( decreasing(X1,X2,X3,X4,X5)
| member(esk35_5(X1,X2,X3,X4,X5),X2) ),
c_0_115,
[final] ).
cnf(c_0_250,plain,
( decreasing(X1,X2,X3,X4,X5)
| member(esk36_5(X1,X2,X3,X4,X5),X4) ),
c_0_116,
[final] ).
cnf(c_0_251,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk29_5(X1,X2,X3,X4,X5),X2) ),
c_0_117,
[final] ).
cnf(c_0_252,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk30_5(X1,X2,X3,X4,X5),X4) ),
c_0_118,
[final] ).
cnf(c_0_253,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk31_5(X1,X2,X3,X4,X5),X2) ),
c_0_119,
[final] ).
cnf(c_0_254,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk32_5(X1,X2,X3,X4,X5),X4) ),
c_0_120,
[final] ).
cnf(c_0_255,plain,
( inverse_predicate(X1,X2,X3,X4)
| ~ apply(X1,esk24_4(X1,X2,X3,X4),esk23_4(X1,X2,X3,X4))
| ~ apply(X2,esk23_4(X1,X2,X3,X4),esk24_4(X1,X2,X3,X4)) ),
c_0_121,
[final] ).
cnf(c_0_256,plain,
( apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
c_0_122,
[final] ).
cnf(c_0_257,plain,
( inverse_predicate(X1,X2,X3,X4)
| apply(X1,esk24_4(X1,X2,X3,X4),esk23_4(X1,X2,X3,X4))
| apply(X2,esk23_4(X1,X2,X3,X4),esk24_4(X1,X2,X3,X4)) ),
c_0_123,
[final] ).
cnf(c_0_258,plain,
( apply(X5,X9,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
c_0_124,
[final] ).
cnf(c_0_259,plain,
( apply(X3,X8,X6)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
c_0_125,
[final] ).
cnf(c_0_260,plain,
( apply(X1,X2,X3)
| ~ apply(X4,X5,X2)
| ~ apply(X4,X6,X3)
| ~ apply(X7,X6,X5)
| ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
c_0_126,
[final] ).
cnf(c_0_261,plain,
( apply(X1,X2,X3)
| ~ apply(X4,X5,X3)
| ~ apply(X4,X6,X2)
| ~ apply(X7,X6,X5)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
c_0_127,
[final] ).
cnf(c_0_262,plain,
( maps(X1,X2,X4)
| ~ isomorphism(X1,X2,X3,X4,X5) ),
c_0_128,
[final] ).
cnf(c_0_263,plain,
( one_to_one(X1,X2,X4)
| ~ isomorphism(X1,X2,X3,X4,X5) ),
c_0_129,
[final] ).
cnf(c_0_264,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk14_4(X1,X2,X3,X4),esk15_4(X1,X2,X3,X4)) ),
c_0_130,
[final] ).
cnf(c_0_265,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk14_4(X1,X2,X3,X4),esk16_4(X1,X2,X3,X4)) ),
c_0_131,
[final] ).
cnf(c_0_266,plain,
( equal_maps(X1,X2,X3,X4)
| esk16_4(X1,X2,X3,X4) != esk15_4(X1,X2,X3,X4) ),
c_0_132,
[final] ).
cnf(c_0_267,plain,
( inverse_predicate(X1,X2,X3,X4)
| member(esk23_4(X1,X2,X3,X4),X3) ),
c_0_133,
[final] ).
cnf(c_0_268,plain,
( inverse_predicate(X1,X2,X3,X4)
| member(esk24_4(X1,X2,X3,X4),X4) ),
c_0_134,
[final] ).
cnf(c_0_269,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk14_4(X1,X2,X3,X4),X3) ),
c_0_135,
[final] ).
cnf(c_0_270,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk15_4(X1,X2,X3,X4),X4) ),
c_0_136,
[final] ).
cnf(c_0_271,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk16_4(X1,X2,X3,X4),X4) ),
c_0_137,
[final] ).
cnf(c_0_272,plain,
( apply(X2,X1,esk28_4(X2,X3,X4,X1))
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
c_0_138,
[final] ).
cnf(c_0_273,plain,
( apply(X2,esk26_4(X2,X3,X4,X1),X1)
| ~ member(X1,image3(X2,X3,X4)) ),
c_0_139,
[final] ).
cnf(c_0_274,plain,
( member(esk28_4(X2,X3,X4,X1),X3)
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
c_0_140,
[final] ).
cnf(c_0_275,plain,
( member(esk26_4(X2,X3,X4,X1),X3)
| ~ member(X1,image3(X2,X3,X4)) ),
c_0_141,
[final] ).
cnf(c_0_276,plain,
( apply(X1,esk21_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
c_0_142,
[final] ).
cnf(c_0_277,plain,
( apply(X1,X4,esk4_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
c_0_143,
[final] ).
cnf(c_0_278,plain,
( X1 = X2
| ~ apply(X3,X4,X2)
| ~ apply(X5,X4,X1)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
c_0_144,
[final] ).
cnf(c_0_279,plain,
( member(esk21_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
c_0_145,
[final] ).
cnf(c_0_280,plain,
( member(esk4_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
c_0_146,
[final] ).
cnf(c_0_281,plain,
( maps(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
c_0_147,
[final] ).
cnf(c_0_282,plain,
( maps(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3))
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
c_0_148,
[final] ).
cnf(c_0_283,plain,
( apply(X1,X5,X6)
| ~ inverse_predicate(X1,X2,X3,X4)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X2,X6,X5) ),
c_0_149,
[final] ).
cnf(c_0_284,plain,
( apply(X2,X6,X5)
| ~ inverse_predicate(X1,X2,X3,X4)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X1,X5,X6) ),
c_0_150,
[final] ).
cnf(c_0_285,plain,
( maps(X1,X2,X3)
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3) ),
c_0_151,
[final] ).
cnf(c_0_286,plain,
( maps(X1,X2,X3)
| member(esk6_3(X1,X2,X3),X2)
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
c_0_152,
[final] ).
cnf(c_0_287,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X3)
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
c_0_153,
[final] ).
cnf(c_0_288,plain,
( maps(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X3)
| ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
c_0_154,
[final] ).
cnf(c_0_289,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| apply(X1,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) ),
c_0_155,
[final] ).
cnf(c_0_290,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3)) ),
c_0_156,
[final] ).
cnf(c_0_291,plain,
( apply(X5,X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
c_0_157,
[final] ).
cnf(c_0_292,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3) ),
c_0_158,
[final] ).
cnf(c_0_293,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk22_3(X1,X2,X3))
| ~ member(X4,X2) ),
c_0_159,
[final] ).
cnf(c_0_294,plain,
( X1 = X2
| ~ apply(X3,X2,X4)
| ~ apply(X3,X1,X4)
| ~ member(X4,X5)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
c_0_160,
[final] ).
cnf(c_0_295,plain,
( X4 = X5
| ~ maps(X1,X2,X3)
| ~ apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
c_0_161,
[final] ).
cnf(c_0_296,plain,
( injective(X1,X2,X3)
| apply(X1,esk18_3(X1,X2,X3),esk20_3(X1,X2,X3)) ),
c_0_162,
[final] ).
cnf(c_0_297,plain,
( injective(X1,X2,X3)
| apply(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) ),
c_0_163,
[final] ).
cnf(c_0_298,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk6_3(X1,X2,X3),X2) ),
c_0_164,
[final] ).
cnf(c_0_299,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk7_3(X1,X2,X3),X3) ),
c_0_165,
[final] ).
cnf(c_0_300,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk8_3(X1,X2,X3),X3) ),
c_0_166,
[final] ).
cnf(c_0_301,plain,
( apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X3,X1) ),
c_0_167,
[final] ).
cnf(c_0_302,plain,
( member(X1,inverse_image3(X2,X3,X4))
| ~ apply(X2,X1,X5)
| ~ member(X5,X3)
| ~ member(X1,X4) ),
c_0_168,
[final] ).
cnf(c_0_303,plain,
( member(X1,image3(X2,X3,X4))
| ~ apply(X2,X5,X1)
| ~ member(X5,X3)
| ~ member(X1,X4) ),
c_0_169,
[final] ).
cnf(c_0_304,plain,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
c_0_170,
[final] ).
cnf(c_0_305,plain,
( injective(X1,X2,X3)
| esk19_3(X1,X2,X3) != esk18_3(X1,X2,X3) ),
c_0_171,
[final] ).
cnf(c_0_306,plain,
( apply(X2,X1,esk27_3(X2,X3,X1))
| ~ member(X1,inverse_image2(X2,X3)) ),
c_0_172,
[final] ).
cnf(c_0_307,plain,
( apply(X2,esk25_3(X2,X3,X1),X1)
| ~ member(X1,image2(X2,X3)) ),
c_0_173,
[final] ).
cnf(c_0_308,plain,
( member(X1,X4)
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
c_0_174,
[final] ).
cnf(c_0_309,plain,
( member(X1,X4)
| ~ member(X1,image3(X2,X3,X4)) ),
c_0_175,
[final] ).
cnf(c_0_310,plain,
( member(esk27_3(X2,X3,X1),X3)
| ~ member(X1,inverse_image2(X2,X3)) ),
c_0_176,
[final] ).
cnf(c_0_311,plain,
( member(esk25_3(X2,X3,X1),X3)
| ~ member(X1,image2(X2,X3)) ),
c_0_177,
[final] ).
cnf(c_0_312,plain,
( identity(X1,X2)
| ~ apply(X1,esk17_2(X1,X2),esk17_2(X1,X2)) ),
c_0_178,
[final] ).
cnf(c_0_313,plain,
( surjective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
c_0_179,
[final] ).
cnf(c_0_314,plain,
( injective(X1,X2,X3)
| member(esk18_3(X1,X2,X3),X2) ),
c_0_180,
[final] ).
cnf(c_0_315,plain,
( injective(X1,X2,X3)
| member(esk19_3(X1,X2,X3),X2) ),
c_0_181,
[final] ).
cnf(c_0_316,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X3) ),
c_0_182,
[final] ).
cnf(c_0_317,plain,
( member(X1,inverse_image2(X2,X3))
| ~ apply(X2,X1,X4)
| ~ member(X4,X3) ),
c_0_183,
[final] ).
cnf(c_0_318,plain,
( member(X1,image2(X2,X3))
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
c_0_184,
[final] ).
cnf(c_0_319,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
c_0_185,
[final] ).
cnf(c_0_320,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
c_0_186,
[final] ).
cnf(c_0_321,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ identity(X1,X3) ),
c_0_187,
[final] ).
cnf(c_0_322,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
c_0_188,
[final] ).
cnf(c_0_323,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
c_0_189,
[final] ).
cnf(c_0_324,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
c_0_190,
[final] ).
cnf(c_0_325,plain,
( member(X1,product(X2))
| ~ member(X1,esk3_2(X1,X2)) ),
c_0_191,
[final] ).
cnf(c_0_326,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
c_0_192,
[final] ).
cnf(c_0_327,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
c_0_193,
[final] ).
cnf(c_0_328,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
c_0_194,
[final] ).
cnf(c_0_329,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
c_0_195,
[final] ).
cnf(c_0_330,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
c_0_196,
[final] ).
cnf(c_0_331,plain,
( member(esk2_2(X1,X2),X2)
| ~ member(X1,sum(X2)) ),
c_0_197,
[final] ).
cnf(c_0_332,plain,
( member(X1,esk2_2(X1,X2))
| ~ member(X1,sum(X2)) ),
c_0_198,
[final] ).
cnf(c_0_333,plain,
( member(X1,X2)
| ~ member(X2,X3)
| ~ member(X1,product(X3)) ),
c_0_199,
[final] ).
cnf(c_0_334,plain,
( X1 = X2
| X1 = X3
| ~ member(X1,unordered_pair(X3,X2)) ),
c_0_200,
[final] ).
cnf(c_0_335,plain,
( member(X1,sum(X2))
| ~ member(X1,X3)
| ~ member(X3,X2) ),
c_0_201,
[final] ).
cnf(c_0_336,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
c_0_202,
[final] ).
cnf(c_0_337,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
c_0_203,
[final] ).
cnf(c_0_338,plain,
( member(X1,product(X2))
| member(esk3_2(X1,X2),X2) ),
c_0_204,
[final] ).
cnf(c_0_339,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
c_0_205,
[final] ).
cnf(c_0_340,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
c_0_206,
[final] ).
cnf(c_0_341,plain,
( identity(X1,X2)
| member(esk17_2(X1,X2),X2) ),
c_0_207,
[final] ).
cnf(c_0_342,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
c_0_208,
[final] ).
cnf(c_0_343,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
c_0_209,
[final] ).
cnf(c_0_344,plain,
( member(X1,unordered_pair(X2,X3))
| X1 != X2 ),
c_0_210,
[final] ).
cnf(c_0_345,plain,
( member(X1,unordered_pair(X2,X3))
| X1 != X3 ),
c_0_211,
[final] ).
cnf(c_0_346,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
c_0_212,
[final] ).
cnf(c_0_347,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
c_0_213,
[final] ).
cnf(c_0_348,plain,
( subset(X2,X1)
| ~ equal_set(X1,X2) ),
c_0_214,
[final] ).
cnf(c_0_349,plain,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
c_0_215,
[final] ).
cnf(c_0_350,plain,
( member(X1,singleton(X2))
| X1 != X2 ),
c_0_216,
[final] ).
cnf(c_0_351,plain,
~ member(X1,empty_set),
c_0_217,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_218_0,axiom,
( apply(X3,X8,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7))
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_1,axiom,
( ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X3,X8,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7))
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_2,axiom,
( ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X3,X8,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7))
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_3,axiom,
( ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X3,X8,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7))
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_4,axiom,
( ~ apply(X1,X8,X7)
| ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X3,X8,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7)) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_219_0,axiom,
( apply(X2,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_1,axiom,
( ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X2,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X7)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_2,axiom,
( ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X2,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X7)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_3,axiom,
( ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X2,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X7)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_4,axiom,
( ~ apply(X1,X8,X7)
| ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X2,sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X7) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_220_0,axiom,
( member(sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X5)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_1,axiom,
( ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| member(sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X5)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_2,axiom,
( ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| member(sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X5)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_3,axiom,
( ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| member(sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X5)
| ~ apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_4,axiom,
( ~ apply(X1,X8,X7)
| ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| member(sk1_esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X5) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_221_0,axiom,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ apply(X2,X7,sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| ~ apply(X3,sk1_esk10_6(X1,X2,X3,X4,X5,X6),X7)
| ~ member(X7,X5)
| ~ apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_1,axiom,
( ~ apply(X2,X7,sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ apply(X3,sk1_esk10_6(X1,X2,X3,X4,X5,X6),X7)
| ~ member(X7,X5)
| ~ apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_2,axiom,
( ~ apply(X3,sk1_esk10_6(X1,X2,X3,X4,X5,X6),X7)
| ~ apply(X2,X7,sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X5)
| ~ apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_3,axiom,
( ~ member(X7,X5)
| ~ apply(X3,sk1_esk10_6(X1,X2,X3,X4,X5,X6),X7)
| ~ apply(X2,X7,sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_4,axiom,
( ~ apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| ~ member(X7,X5)
| ~ apply(X3,sk1_esk10_6(X1,X2,X3,X4,X5,X6),X7)
| ~ apply(X2,X7,sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_222_0,axiom,
( apply(X6,X3,sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1))
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_222_1,axiom,
( ~ member(X1,X2)
| apply(X6,X3,sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1))
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_222_2,axiom,
( ~ member(X3,X4)
| ~ member(X1,X2)
| apply(X6,X3,sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1))
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_222_3,axiom,
( ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X3,X4)
| ~ member(X1,X2)
| apply(X6,X3,sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_223_0,axiom,
( apply(X5,sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_1,axiom,
( ~ member(X1,X2)
| apply(X5,sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_2,axiom,
( ~ member(X3,X4)
| ~ member(X1,X2)
| apply(X5,sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_3,axiom,
( ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X3,X4)
| ~ member(X1,X2)
| apply(X5,sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_224_0,axiom,
( member(sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_1,axiom,
( ~ member(X1,X2)
| member(sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_2,axiom,
( ~ member(X3,X4)
| ~ member(X1,X2)
| member(sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_3,axiom,
( ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X3,X4)
| ~ member(X1,X2)
| member(sk1_esk13_7(X5,X6,X4,X7,X2,X3,X1),X7) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_225_0,axiom,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| apply(X3,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk12_6(X1,X2,X3,X4,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_225_1,axiom,
( apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X3,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk12_6(X1,X2,X3,X4,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_225_2,axiom,
( apply(X3,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk12_6(X1,X2,X3,X4,X5,X6))
| apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_226_0,axiom,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| apply(X2,sk1_esk12_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_226_1,axiom,
( apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X2,sk1_esk12_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_226_2,axiom,
( apply(X2,sk1_esk12_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_227_0,axiom,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| member(sk1_esk12_6(X1,X2,X3,X4,X5,X6),X5) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_1,axiom,
( apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6)
| member(sk1_esk12_6(X1,X2,X3,X4,X5,X6),X5) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_2,axiom,
( member(sk1_esk12_6(X1,X2,X3,X4,X5,X6),X5)
| apply(X1,sk1_esk10_6(X1,X2,X3,X4,X5,X6),sk1_esk11_6(X1,X2,X3,X4,X5,X6))
| compose_predicate(X1,X2,X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_228_0,axiom,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| member(sk1_esk10_6(X1,X2,X3,X4,X5,X6),X4) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_1,axiom,
( member(sk1_esk10_6(X1,X2,X3,X4,X5,X6),X4)
| compose_predicate(X1,X2,X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_229_0,axiom,
( compose_predicate(X1,X2,X3,X4,X5,X6)
| member(sk1_esk11_6(X1,X2,X3,X4,X5,X6),X6) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_1,axiom,
( member(sk1_esk11_6(X1,X2,X3,X4,X5,X6),X6)
| compose_predicate(X1,X2,X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_230_0,axiom,
( isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4)
| ~ apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| ~ apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_1,axiom,
( ~ maps(X1,X2,X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4)
| ~ apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| ~ apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_2,axiom,
( ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| ~ apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_3,axiom,
( ~ apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_4,axiom,
( ~ apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5))
| ~ apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_231_0,axiom,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_1,axiom,
( apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_2,axiom,
( apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5))
| apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_3,axiom,
( ~ maps(X1,X2,X4)
| apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5))
| apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_4,axiom,
( ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| apply(X3,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk39_5(X1,X2,X3,X4,X5))
| apply(X5,sk1_esk38_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_232_0,axiom,
( apply(X1,X8,X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X2,X9,X7)
| ~ apply(X3,X8,X9)
| ~ member(X9,X5) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_1,axiom,
( ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,X8,X7)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X2,X9,X7)
| ~ apply(X3,X8,X9)
| ~ member(X9,X5) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_2,axiom,
( ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,X8,X7)
| ~ member(X8,X4)
| ~ apply(X2,X9,X7)
| ~ apply(X3,X8,X9)
| ~ member(X9,X5) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_3,axiom,
( ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,X8,X7)
| ~ apply(X2,X9,X7)
| ~ apply(X3,X8,X9)
| ~ member(X9,X5) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_4,axiom,
( ~ apply(X2,X9,X7)
| ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,X8,X7)
| ~ apply(X3,X8,X9)
| ~ member(X9,X5) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_5,axiom,
( ~ apply(X3,X8,X9)
| ~ apply(X2,X9,X7)
| ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,X8,X7)
| ~ member(X9,X5) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_6,axiom,
( ~ member(X9,X5)
| ~ apply(X3,X8,X9)
| ~ apply(X2,X9,X7)
| ~ member(X8,X4)
| ~ member(X7,X6)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| apply(X1,X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_233_0,axiom,
( decreasing(X1,X2,X3,X4,X5)
| ~ apply(X5,sk1_esk36_5(X1,X2,X3,X4,X5),sk1_esk34_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_1,axiom,
( ~ apply(X5,sk1_esk36_5(X1,X2,X3,X4,X5),sk1_esk34_5(X1,X2,X3,X4,X5))
| decreasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_234_0,axiom,
( increasing(X1,X2,X3,X4,X5)
| ~ apply(X5,sk1_esk30_5(X1,X2,X3,X4,X5),sk1_esk32_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_1,axiom,
( ~ apply(X5,sk1_esk30_5(X1,X2,X3,X4,X5),sk1_esk32_5(X1,X2,X3,X4,X5))
| increasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_235_0,axiom,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk38_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_1,axiom,
( apply(X1,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk38_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_2,axiom,
( ~ maps(X1,X2,X4)
| apply(X1,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk38_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_3,axiom,
( ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| apply(X1,sk1_esk37_5(X1,X2,X3,X4,X5),sk1_esk38_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_236_0,axiom,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,sk1_esk39_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_1,axiom,
( apply(X1,sk1_esk39_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_2,axiom,
( ~ maps(X1,X2,X4)
| apply(X1,sk1_esk39_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_3,axiom,
( ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| apply(X1,sk1_esk39_5(X1,X2,X3,X4,X5),sk1_esk40_5(X1,X2,X3,X4,X5))
| isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_237_0,axiom,
( decreasing(X1,X2,X3,X4,X5)
| apply(X3,sk1_esk33_5(X1,X2,X3,X4,X5),sk1_esk35_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_1,axiom,
( apply(X3,sk1_esk33_5(X1,X2,X3,X4,X5),sk1_esk35_5(X1,X2,X3,X4,X5))
| decreasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_238_0,axiom,
( decreasing(X1,X2,X3,X4,X5)
| apply(X1,sk1_esk33_5(X1,X2,X3,X4,X5),sk1_esk34_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_1,axiom,
( apply(X1,sk1_esk33_5(X1,X2,X3,X4,X5),sk1_esk34_5(X1,X2,X3,X4,X5))
| decreasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_239_0,axiom,
( decreasing(X1,X2,X3,X4,X5)
| apply(X1,sk1_esk35_5(X1,X2,X3,X4,X5),sk1_esk36_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_1,axiom,
( apply(X1,sk1_esk35_5(X1,X2,X3,X4,X5),sk1_esk36_5(X1,X2,X3,X4,X5))
| decreasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_240_0,axiom,
( increasing(X1,X2,X3,X4,X5)
| apply(X3,sk1_esk29_5(X1,X2,X3,X4,X5),sk1_esk31_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_1,axiom,
( apply(X3,sk1_esk29_5(X1,X2,X3,X4,X5),sk1_esk31_5(X1,X2,X3,X4,X5))
| increasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_241_0,axiom,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,sk1_esk29_5(X1,X2,X3,X4,X5),sk1_esk30_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_1,axiom,
( apply(X1,sk1_esk29_5(X1,X2,X3,X4,X5),sk1_esk30_5(X1,X2,X3,X4,X5))
| increasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_242_0,axiom,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,sk1_esk31_5(X1,X2,X3,X4,X5),sk1_esk32_5(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_242_1,axiom,
( apply(X1,sk1_esk31_5(X1,X2,X3,X4,X5),sk1_esk32_5(X1,X2,X3,X4,X5))
| increasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_243_0,axiom,
( isomorphism(X1,X2,X3,X4,X5)
| member(sk1_esk37_5(X1,X2,X3,X4,X5),X2)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_1,axiom,
( member(sk1_esk37_5(X1,X2,X3,X4,X5),X2)
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_2,axiom,
( ~ maps(X1,X2,X4)
| member(sk1_esk37_5(X1,X2,X3,X4,X5),X2)
| isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_3,axiom,
( ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| member(sk1_esk37_5(X1,X2,X3,X4,X5),X2)
| isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_244_0,axiom,
( isomorphism(X1,X2,X3,X4,X5)
| member(sk1_esk38_5(X1,X2,X3,X4,X5),X4)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_1,axiom,
( member(sk1_esk38_5(X1,X2,X3,X4,X5),X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_2,axiom,
( ~ maps(X1,X2,X4)
| member(sk1_esk38_5(X1,X2,X3,X4,X5),X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_3,axiom,
( ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| member(sk1_esk38_5(X1,X2,X3,X4,X5),X4)
| isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_245_0,axiom,
( isomorphism(X1,X2,X3,X4,X5)
| member(sk1_esk39_5(X1,X2,X3,X4,X5),X2)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_1,axiom,
( member(sk1_esk39_5(X1,X2,X3,X4,X5),X2)
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_2,axiom,
( ~ maps(X1,X2,X4)
| member(sk1_esk39_5(X1,X2,X3,X4,X5),X2)
| isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_3,axiom,
( ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| member(sk1_esk39_5(X1,X2,X3,X4,X5),X2)
| isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_246_0,axiom,
( isomorphism(X1,X2,X3,X4,X5)
| member(sk1_esk40_5(X1,X2,X3,X4,X5),X4)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_1,axiom,
( member(sk1_esk40_5(X1,X2,X3,X4,X5),X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ maps(X1,X2,X4)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_2,axiom,
( ~ maps(X1,X2,X4)
| member(sk1_esk40_5(X1,X2,X3,X4,X5),X4)
| isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_3,axiom,
( ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| member(sk1_esk40_5(X1,X2,X3,X4,X5),X4)
| isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_247_0,axiom,
( decreasing(X1,X2,X3,X4,X5)
| member(sk1_esk33_5(X1,X2,X3,X4,X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_1,axiom,
( member(sk1_esk33_5(X1,X2,X3,X4,X5),X2)
| decreasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_248_0,axiom,
( decreasing(X1,X2,X3,X4,X5)
| member(sk1_esk34_5(X1,X2,X3,X4,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_1,axiom,
( member(sk1_esk34_5(X1,X2,X3,X4,X5),X4)
| decreasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_249_0,axiom,
( decreasing(X1,X2,X3,X4,X5)
| member(sk1_esk35_5(X1,X2,X3,X4,X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_249_1,axiom,
( member(sk1_esk35_5(X1,X2,X3,X4,X5),X2)
| decreasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_250_0,axiom,
( decreasing(X1,X2,X3,X4,X5)
| member(sk1_esk36_5(X1,X2,X3,X4,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_250_1,axiom,
( member(sk1_esk36_5(X1,X2,X3,X4,X5),X4)
| decreasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_251_0,axiom,
( increasing(X1,X2,X3,X4,X5)
| member(sk1_esk29_5(X1,X2,X3,X4,X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_251_1,axiom,
( member(sk1_esk29_5(X1,X2,X3,X4,X5),X2)
| increasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_252_0,axiom,
( increasing(X1,X2,X3,X4,X5)
| member(sk1_esk30_5(X1,X2,X3,X4,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_1,axiom,
( member(sk1_esk30_5(X1,X2,X3,X4,X5),X4)
| increasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_253_0,axiom,
( increasing(X1,X2,X3,X4,X5)
| member(sk1_esk31_5(X1,X2,X3,X4,X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_253_1,axiom,
( member(sk1_esk31_5(X1,X2,X3,X4,X5),X2)
| increasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_254_0,axiom,
( increasing(X1,X2,X3,X4,X5)
| member(sk1_esk32_5(X1,X2,X3,X4,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_254_1,axiom,
( member(sk1_esk32_5(X1,X2,X3,X4,X5),X4)
| increasing(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_255_0,axiom,
( inverse_predicate(X1,X2,X3,X4)
| ~ apply(X1,sk1_esk24_4(X1,X2,X3,X4),sk1_esk23_4(X1,X2,X3,X4))
| ~ apply(X2,sk1_esk23_4(X1,X2,X3,X4),sk1_esk24_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_255_1,axiom,
( ~ apply(X1,sk1_esk24_4(X1,X2,X3,X4),sk1_esk23_4(X1,X2,X3,X4))
| inverse_predicate(X1,X2,X3,X4)
| ~ apply(X2,sk1_esk23_4(X1,X2,X3,X4),sk1_esk24_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_255_2,axiom,
( ~ apply(X2,sk1_esk23_4(X1,X2,X3,X4),sk1_esk24_4(X1,X2,X3,X4))
| ~ apply(X1,sk1_esk24_4(X1,X2,X3,X4),sk1_esk23_4(X1,X2,X3,X4))
| inverse_predicate(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_256_0,axiom,
( apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_256_1,axiom,
( ~ member(X1,X2)
| apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X3,X4)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_256_2,axiom,
( ~ member(X3,X4)
| ~ member(X1,X2)
| apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_256_3,axiom,
( ~ apply(X5,X8,X1)
| ~ member(X3,X4)
| ~ member(X1,X2)
| apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_256_4,axiom,
( ~ apply(X6,X3,X8)
| ~ apply(X5,X8,X1)
| ~ member(X3,X4)
| ~ member(X1,X2)
| apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_256_5,axiom,
( ~ member(X8,X7)
| ~ apply(X6,X3,X8)
| ~ apply(X5,X8,X1)
| ~ member(X3,X4)
| ~ member(X1,X2)
| apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_257_0,axiom,
( inverse_predicate(X1,X2,X3,X4)
| apply(X1,sk1_esk24_4(X1,X2,X3,X4),sk1_esk23_4(X1,X2,X3,X4))
| apply(X2,sk1_esk23_4(X1,X2,X3,X4),sk1_esk24_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_257_1,axiom,
( apply(X1,sk1_esk24_4(X1,X2,X3,X4),sk1_esk23_4(X1,X2,X3,X4))
| inverse_predicate(X1,X2,X3,X4)
| apply(X2,sk1_esk23_4(X1,X2,X3,X4),sk1_esk24_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_257_2,axiom,
( apply(X2,sk1_esk23_4(X1,X2,X3,X4),sk1_esk24_4(X1,X2,X3,X4))
| apply(X1,sk1_esk24_4(X1,X2,X3,X4),sk1_esk23_4(X1,X2,X3,X4))
| inverse_predicate(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_258_0,axiom,
( apply(X5,X9,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_1,axiom,
( ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X5,X9,X7)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_2,axiom,
( ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X5,X9,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_3,axiom,
( ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X5,X9,X7)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_4,axiom,
( ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X5,X9,X7)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_5,axiom,
( ~ member(X6,X2)
| ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X5,X9,X7)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_6,axiom,
( ~ member(X9,X4)
| ~ member(X6,X2)
| ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X5,X9,X7)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_7,axiom,
( ~ member(X8,X2)
| ~ member(X9,X4)
| ~ member(X6,X2)
| ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X5,X9,X7)
| ~ apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_8,axiom,
( ~ apply(X3,X8,X6)
| ~ member(X8,X2)
| ~ member(X9,X4)
| ~ member(X6,X2)
| ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_259_0,axiom,
( apply(X3,X8,X6)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_1,axiom,
( ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X3,X8,X6)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_2,axiom,
( ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X3,X8,X6)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_3,axiom,
( ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X3,X8,X6)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_4,axiom,
( ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X3,X8,X6)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_5,axiom,
( ~ member(X6,X2)
| ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X3,X8,X6)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_6,axiom,
( ~ member(X9,X4)
| ~ member(X6,X2)
| ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X3,X8,X6)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_7,axiom,
( ~ member(X8,X2)
| ~ member(X9,X4)
| ~ member(X6,X2)
| ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X3,X8,X6)
| ~ apply(X5,X9,X7) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_8,axiom,
( ~ apply(X5,X9,X7)
| ~ member(X8,X2)
| ~ member(X9,X4)
| ~ member(X6,X2)
| ~ member(X7,X4)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X6,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| apply(X3,X8,X6) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_260_0,axiom,
( apply(X1,X2,X3)
| ~ apply(X4,X5,X2)
| ~ apply(X4,X6,X3)
| ~ apply(X7,X6,X5)
| ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_1,axiom,
( ~ apply(X4,X5,X2)
| apply(X1,X2,X3)
| ~ apply(X4,X6,X3)
| ~ apply(X7,X6,X5)
| ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_2,axiom,
( ~ apply(X4,X6,X3)
| ~ apply(X4,X5,X2)
| apply(X1,X2,X3)
| ~ apply(X7,X6,X5)
| ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_3,axiom,
( ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X3)
| ~ apply(X4,X5,X2)
| apply(X1,X2,X3)
| ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_4,axiom,
( ~ member(X2,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X3)
| ~ apply(X4,X5,X2)
| apply(X1,X2,X3)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_5,axiom,
( ~ member(X5,X9)
| ~ member(X2,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X3)
| ~ apply(X4,X5,X2)
| apply(X1,X2,X3)
| ~ member(X3,X8)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_6,axiom,
( ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X3)
| ~ apply(X4,X5,X2)
| apply(X1,X2,X3)
| ~ member(X6,X9)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_7,axiom,
( ~ member(X6,X9)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X3)
| ~ apply(X4,X5,X2)
| apply(X1,X2,X3)
| ~ decreasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_8,axiom,
( ~ decreasing(X4,X9,X7,X8,X1)
| ~ member(X6,X9)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X3)
| ~ apply(X4,X5,X2)
| apply(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_261_0,axiom,
( apply(X1,X2,X3)
| ~ apply(X4,X5,X3)
| ~ apply(X4,X6,X2)
| ~ apply(X7,X6,X5)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_1,axiom,
( ~ apply(X4,X5,X3)
| apply(X1,X2,X3)
| ~ apply(X4,X6,X2)
| ~ apply(X7,X6,X5)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_2,axiom,
( ~ apply(X4,X6,X2)
| ~ apply(X4,X5,X3)
| apply(X1,X2,X3)
| ~ apply(X7,X6,X5)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_3,axiom,
( ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X2)
| ~ apply(X4,X5,X3)
| apply(X1,X2,X3)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_4,axiom,
( ~ member(X3,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X2)
| ~ apply(X4,X5,X3)
| apply(X1,X2,X3)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_5,axiom,
( ~ member(X5,X9)
| ~ member(X3,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X2)
| ~ apply(X4,X5,X3)
| apply(X1,X2,X3)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_6,axiom,
( ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X2)
| ~ apply(X4,X5,X3)
| apply(X1,X2,X3)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_7,axiom,
( ~ member(X6,X9)
| ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X2)
| ~ apply(X4,X5,X3)
| apply(X1,X2,X3)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_8,axiom,
( ~ increasing(X4,X9,X7,X8,X1)
| ~ member(X6,X9)
| ~ member(X2,X8)
| ~ member(X5,X9)
| ~ member(X3,X8)
| ~ apply(X7,X6,X5)
| ~ apply(X4,X6,X2)
| ~ apply(X4,X5,X3)
| apply(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_262_0,axiom,
( maps(X1,X2,X4)
| ~ isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_262_1,axiom,
( ~ isomorphism(X1,X2,X3,X4,X5)
| maps(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_263_0,axiom,
( one_to_one(X1,X2,X4)
| ~ isomorphism(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_1,axiom,
( ~ isomorphism(X1,X2,X3,X4,X5)
| one_to_one(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_264_0,axiom,
( equal_maps(X1,X2,X3,X4)
| apply(X1,sk1_esk14_4(X1,X2,X3,X4),sk1_esk15_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_1,axiom,
( apply(X1,sk1_esk14_4(X1,X2,X3,X4),sk1_esk15_4(X1,X2,X3,X4))
| equal_maps(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_265_0,axiom,
( equal_maps(X1,X2,X3,X4)
| apply(X2,sk1_esk14_4(X1,X2,X3,X4),sk1_esk16_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_265_1,axiom,
( apply(X2,sk1_esk14_4(X1,X2,X3,X4),sk1_esk16_4(X1,X2,X3,X4))
| equal_maps(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_266_0,axiom,
( equal_maps(X1,X2,X3,X4)
| sk1_esk16_4(X1,X2,X3,X4) != sk1_esk15_4(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_266_1,axiom,
( sk1_esk16_4(X1,X2,X3,X4) != sk1_esk15_4(X1,X2,X3,X4)
| equal_maps(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_267_0,axiom,
( inverse_predicate(X1,X2,X3,X4)
| member(sk1_esk23_4(X1,X2,X3,X4),X3) ),
inference(literals_permutation,[status(thm)],[c_0_267]) ).
cnf(c_0_267_1,axiom,
( member(sk1_esk23_4(X1,X2,X3,X4),X3)
| inverse_predicate(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_267]) ).
cnf(c_0_268_0,axiom,
( inverse_predicate(X1,X2,X3,X4)
| member(sk1_esk24_4(X1,X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_268_1,axiom,
( member(sk1_esk24_4(X1,X2,X3,X4),X4)
| inverse_predicate(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_269_0,axiom,
( equal_maps(X1,X2,X3,X4)
| member(sk1_esk14_4(X1,X2,X3,X4),X3) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_269_1,axiom,
( member(sk1_esk14_4(X1,X2,X3,X4),X3)
| equal_maps(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_270_0,axiom,
( equal_maps(X1,X2,X3,X4)
| member(sk1_esk15_4(X1,X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_270_1,axiom,
( member(sk1_esk15_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_271_0,axiom,
( equal_maps(X1,X2,X3,X4)
| member(sk1_esk16_4(X1,X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_1,axiom,
( member(sk1_esk16_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_272_0,axiom,
( apply(X2,X1,sk1_esk28_4(X2,X3,X4,X1))
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_1,axiom,
( ~ member(X1,inverse_image3(X2,X3,X4))
| apply(X2,X1,sk1_esk28_4(X2,X3,X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_273_0,axiom,
( apply(X2,sk1_esk26_4(X2,X3,X4,X1),X1)
| ~ member(X1,image3(X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_1,axiom,
( ~ member(X1,image3(X2,X3,X4))
| apply(X2,sk1_esk26_4(X2,X3,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_274_0,axiom,
( member(sk1_esk28_4(X2,X3,X4,X1),X3)
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_1,axiom,
( ~ member(X1,inverse_image3(X2,X3,X4))
| member(sk1_esk28_4(X2,X3,X4,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_275_0,axiom,
( member(sk1_esk26_4(X2,X3,X4,X1),X3)
| ~ member(X1,image3(X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_1,axiom,
( ~ member(X1,image3(X2,X3,X4))
| member(sk1_esk26_4(X2,X3,X4,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_276_0,axiom,
( apply(X1,sk1_esk21_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_1,axiom,
( ~ surjective(X1,X2,X3)
| apply(X1,sk1_esk21_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_2,axiom,
( ~ member(X4,X3)
| ~ surjective(X1,X2,X3)
| apply(X1,sk1_esk21_4(X1,X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_277_0,axiom,
( apply(X1,X4,sk1_esk4_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_1,axiom,
( ~ maps(X1,X2,X3)
| apply(X1,X4,sk1_esk4_4(X1,X2,X3,X4))
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_2,axiom,
( ~ member(X4,X2)
| ~ maps(X1,X2,X3)
| apply(X1,X4,sk1_esk4_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_278_0,axiom,
( X1 = X2
| ~ apply(X3,X4,X2)
| ~ apply(X5,X4,X1)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_1,axiom,
( ~ apply(X3,X4,X2)
| X1 = X2
| ~ apply(X5,X4,X1)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_2,axiom,
( ~ apply(X5,X4,X1)
| ~ apply(X3,X4,X2)
| X1 = X2
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_3,axiom,
( ~ member(X2,X6)
| ~ apply(X5,X4,X1)
| ~ apply(X3,X4,X2)
| X1 = X2
| ~ member(X1,X6)
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_4,axiom,
( ~ member(X1,X6)
| ~ member(X2,X6)
| ~ apply(X5,X4,X1)
| ~ apply(X3,X4,X2)
| X1 = X2
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_5,axiom,
( ~ member(X4,X7)
| ~ member(X1,X6)
| ~ member(X2,X6)
| ~ apply(X5,X4,X1)
| ~ apply(X3,X4,X2)
| X1 = X2
| ~ equal_maps(X5,X3,X7,X6) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_6,axiom,
( ~ equal_maps(X5,X3,X7,X6)
| ~ member(X4,X7)
| ~ member(X1,X6)
| ~ member(X2,X6)
| ~ apply(X5,X4,X1)
| ~ apply(X3,X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_279_0,axiom,
( member(sk1_esk21_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_1,axiom,
( ~ surjective(X1,X2,X3)
| member(sk1_esk21_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_2,axiom,
( ~ member(X4,X3)
| ~ surjective(X1,X2,X3)
| member(sk1_esk21_4(X1,X2,X3,X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_280_0,axiom,
( member(sk1_esk4_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_1,axiom,
( ~ maps(X1,X2,X3)
| member(sk1_esk4_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_2,axiom,
( ~ member(X4,X2)
| ~ maps(X1,X2,X3)
| member(sk1_esk4_4(X1,X2,X3,X4),X3) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_281_0,axiom,
( maps(X1,X2,X3)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk7_3(X1,X2,X3))
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_1,axiom,
( apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk7_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_2,axiom,
( ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk7_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_3,axiom,
( ~ member(X4,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk7_3(X1,X2,X3))
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_282_0,axiom,
( maps(X1,X2,X3)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk8_3(X1,X2,X3))
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_1,axiom,
( apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk8_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_2,axiom,
( ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk8_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_3,axiom,
( ~ member(X4,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk8_3(X1,X2,X3))
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_283_0,axiom,
( apply(X1,X5,X6)
| ~ inverse_predicate(X1,X2,X3,X4)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X2,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_1,axiom,
( ~ inverse_predicate(X1,X2,X3,X4)
| apply(X1,X5,X6)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X2,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_2,axiom,
( ~ member(X5,X4)
| ~ inverse_predicate(X1,X2,X3,X4)
| apply(X1,X5,X6)
| ~ member(X6,X3)
| ~ apply(X2,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_3,axiom,
( ~ member(X6,X3)
| ~ member(X5,X4)
| ~ inverse_predicate(X1,X2,X3,X4)
| apply(X1,X5,X6)
| ~ apply(X2,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_4,axiom,
( ~ apply(X2,X6,X5)
| ~ member(X6,X3)
| ~ member(X5,X4)
| ~ inverse_predicate(X1,X2,X3,X4)
| apply(X1,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_284_0,axiom,
( apply(X2,X6,X5)
| ~ inverse_predicate(X1,X2,X3,X4)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X1,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_1,axiom,
( ~ inverse_predicate(X1,X2,X3,X4)
| apply(X2,X6,X5)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X1,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_2,axiom,
( ~ member(X5,X4)
| ~ inverse_predicate(X1,X2,X3,X4)
| apply(X2,X6,X5)
| ~ member(X6,X3)
| ~ apply(X1,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_3,axiom,
( ~ member(X6,X3)
| ~ member(X5,X4)
| ~ inverse_predicate(X1,X2,X3,X4)
| apply(X2,X6,X5)
| ~ apply(X1,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_4,axiom,
( ~ apply(X1,X5,X6)
| ~ member(X6,X3)
| ~ member(X5,X4)
| ~ inverse_predicate(X1,X2,X3,X4)
| apply(X2,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_285_0,axiom,
( maps(X1,X2,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| sk1_esk8_3(X1,X2,X3) != sk1_esk7_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_1,axiom,
( ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| maps(X1,X2,X3)
| ~ member(X4,X3)
| sk1_esk8_3(X1,X2,X3) != sk1_esk7_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_2,axiom,
( ~ member(X4,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| maps(X1,X2,X3)
| sk1_esk8_3(X1,X2,X3) != sk1_esk7_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_3,axiom,
( sk1_esk8_3(X1,X2,X3) != sk1_esk7_3(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_286_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk6_3(X1,X2,X3),X2)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_1,axiom,
( member(sk1_esk6_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_2,axiom,
( ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| member(sk1_esk6_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_3,axiom,
( ~ member(X4,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| member(sk1_esk6_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_287_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk7_3(X1,X2,X3),X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_1,axiom,
( member(sk1_esk7_3(X1,X2,X3),X3)
| maps(X1,X2,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_2,axiom,
( ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| member(sk1_esk7_3(X1,X2,X3),X3)
| maps(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_3,axiom,
( ~ member(X4,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| member(sk1_esk7_3(X1,X2,X3),X3)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_288_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk8_3(X1,X2,X3),X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_1,axiom,
( member(sk1_esk8_3(X1,X2,X3),X3)
| maps(X1,X2,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_2,axiom,
( ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| member(sk1_esk8_3(X1,X2,X3),X3)
| maps(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_3,axiom,
( ~ member(X4,X3)
| ~ apply(X1,sk1_esk5_3(X1,X2,X3),X4)
| member(sk1_esk8_3(X1,X2,X3),X3)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_289_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk7_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_1,axiom,
( member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk7_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_2,axiom,
( apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk7_3(X1,X2,X3))
| member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_290_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk8_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_1,axiom,
( member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk8_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_2,axiom,
( apply(X1,sk1_esk6_3(X1,X2,X3),sk1_esk8_3(X1,X2,X3))
| member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_291_0,axiom,
( apply(X5,X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_1,axiom,
( ~ member(X1,X2)
| apply(X5,X3,X1)
| ~ member(X3,X4)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_2,axiom,
( ~ member(X3,X4)
| ~ member(X1,X2)
| apply(X5,X3,X1)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_3,axiom,
( ~ apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X3,X4)
| ~ member(X1,X2)
| apply(X5,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_292_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| sk1_esk8_3(X1,X2,X3) != sk1_esk7_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_292_1,axiom,
( member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| sk1_esk8_3(X1,X2,X3) != sk1_esk7_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_292_2,axiom,
( sk1_esk8_3(X1,X2,X3) != sk1_esk7_3(X1,X2,X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_293_0,axiom,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,sk1_esk22_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_1,axiom,
( ~ apply(X1,X4,sk1_esk22_3(X1,X2,X3))
| surjective(X1,X2,X3)
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_2,axiom,
( ~ member(X4,X2)
| ~ apply(X1,X4,sk1_esk22_3(X1,X2,X3))
| surjective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_294_0,axiom,
( X1 = X2
| ~ apply(X3,X2,X4)
| ~ apply(X3,X1,X4)
| ~ member(X4,X5)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_1,axiom,
( ~ apply(X3,X2,X4)
| X1 = X2
| ~ apply(X3,X1,X4)
| ~ member(X4,X5)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_2,axiom,
( ~ apply(X3,X1,X4)
| ~ apply(X3,X2,X4)
| X1 = X2
| ~ member(X4,X5)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_3,axiom,
( ~ member(X4,X5)
| ~ apply(X3,X1,X4)
| ~ apply(X3,X2,X4)
| X1 = X2
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_4,axiom,
( ~ member(X2,X6)
| ~ member(X4,X5)
| ~ apply(X3,X1,X4)
| ~ apply(X3,X2,X4)
| X1 = X2
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_5,axiom,
( ~ member(X1,X6)
| ~ member(X2,X6)
| ~ member(X4,X5)
| ~ apply(X3,X1,X4)
| ~ apply(X3,X2,X4)
| X1 = X2
| ~ injective(X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_6,axiom,
( ~ injective(X3,X6,X5)
| ~ member(X1,X6)
| ~ member(X2,X6)
| ~ member(X4,X5)
| ~ apply(X3,X1,X4)
| ~ apply(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_295_0,axiom,
( X4 = X5
| ~ maps(X1,X2,X3)
| ~ apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_1,axiom,
( ~ maps(X1,X2,X3)
| X4 = X5
| ~ apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_2,axiom,
( ~ apply(X1,X6,X5)
| ~ maps(X1,X2,X3)
| X4 = X5
| ~ apply(X1,X6,X4)
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_3,axiom,
( ~ apply(X1,X6,X4)
| ~ apply(X1,X6,X5)
| ~ maps(X1,X2,X3)
| X4 = X5
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_4,axiom,
( ~ member(X5,X3)
| ~ apply(X1,X6,X4)
| ~ apply(X1,X6,X5)
| ~ maps(X1,X2,X3)
| X4 = X5
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_5,axiom,
( ~ member(X4,X3)
| ~ member(X5,X3)
| ~ apply(X1,X6,X4)
| ~ apply(X1,X6,X5)
| ~ maps(X1,X2,X3)
| X4 = X5
| ~ member(X6,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_6,axiom,
( ~ member(X6,X2)
| ~ member(X4,X3)
| ~ member(X5,X3)
| ~ apply(X1,X6,X4)
| ~ apply(X1,X6,X5)
| ~ maps(X1,X2,X3)
| X4 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_296_0,axiom,
( injective(X1,X2,X3)
| apply(X1,sk1_esk18_3(X1,X2,X3),sk1_esk20_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_1,axiom,
( apply(X1,sk1_esk18_3(X1,X2,X3),sk1_esk20_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_297_0,axiom,
( injective(X1,X2,X3)
| apply(X1,sk1_esk19_3(X1,X2,X3),sk1_esk20_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_1,axiom,
( apply(X1,sk1_esk19_3(X1,X2,X3),sk1_esk20_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_298_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| member(sk1_esk6_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_1,axiom,
( member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| member(sk1_esk6_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_2,axiom,
( member(sk1_esk6_3(X1,X2,X3),X2)
| member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_299_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| member(sk1_esk7_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_1,axiom,
( member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| member(sk1_esk7_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_2,axiom,
( member(sk1_esk7_3(X1,X2,X3),X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_300_0,axiom,
( maps(X1,X2,X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| member(sk1_esk8_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_1,axiom,
( member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| member(sk1_esk8_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_2,axiom,
( member(sk1_esk8_3(X1,X2,X3),X3)
| member(sk1_esk5_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_301_0,axiom,
( apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_1,axiom,
( ~ member(X1,X2)
| apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X3,X4)
| ~ apply(X5,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_2,axiom,
( ~ member(X3,X4)
| ~ member(X1,X2)
| apply(inverse_function(X5,X4,X2),X1,X3)
| ~ apply(X5,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_3,axiom,
( ~ apply(X5,X3,X1)
| ~ member(X3,X4)
| ~ member(X1,X2)
| apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_302_0,axiom,
( member(X1,inverse_image3(X2,X3,X4))
| ~ apply(X2,X1,X5)
| ~ member(X5,X3)
| ~ member(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_1,axiom,
( ~ apply(X2,X1,X5)
| member(X1,inverse_image3(X2,X3,X4))
| ~ member(X5,X3)
| ~ member(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_2,axiom,
( ~ member(X5,X3)
| ~ apply(X2,X1,X5)
| member(X1,inverse_image3(X2,X3,X4))
| ~ member(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_3,axiom,
( ~ member(X1,X4)
| ~ member(X5,X3)
| ~ apply(X2,X1,X5)
| member(X1,inverse_image3(X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_303_0,axiom,
( member(X1,image3(X2,X3,X4))
| ~ apply(X2,X5,X1)
| ~ member(X5,X3)
| ~ member(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_1,axiom,
( ~ apply(X2,X5,X1)
| member(X1,image3(X2,X3,X4))
| ~ member(X5,X3)
| ~ member(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_2,axiom,
( ~ member(X5,X3)
| ~ apply(X2,X5,X1)
| member(X1,image3(X2,X3,X4))
| ~ member(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_3,axiom,
( ~ member(X1,X4)
| ~ member(X5,X3)
| ~ apply(X2,X5,X1)
| member(X1,image3(X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_304_0,axiom,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_1,axiom,
( ~ surjective(X1,X2,X3)
| one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_2,axiom,
( ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| one_to_one(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_305_0,axiom,
( injective(X1,X2,X3)
| sk1_esk19_3(X1,X2,X3) != sk1_esk18_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_1,axiom,
( sk1_esk19_3(X1,X2,X3) != sk1_esk18_3(X1,X2,X3)
| injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_306_0,axiom,
( apply(X2,X1,sk1_esk27_3(X2,X3,X1))
| ~ member(X1,inverse_image2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_1,axiom,
( ~ member(X1,inverse_image2(X2,X3))
| apply(X2,X1,sk1_esk27_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_307_0,axiom,
( apply(X2,sk1_esk25_3(X2,X3,X1),X1)
| ~ member(X1,image2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_1,axiom,
( ~ member(X1,image2(X2,X3))
| apply(X2,sk1_esk25_3(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_308_0,axiom,
( member(X1,X4)
| ~ member(X1,inverse_image3(X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_1,axiom,
( ~ member(X1,inverse_image3(X2,X3,X4))
| member(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_309_0,axiom,
( member(X1,X4)
| ~ member(X1,image3(X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_1,axiom,
( ~ member(X1,image3(X2,X3,X4))
| member(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_310_0,axiom,
( member(sk1_esk27_3(X2,X3,X1),X3)
| ~ member(X1,inverse_image2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_1,axiom,
( ~ member(X1,inverse_image2(X2,X3))
| member(sk1_esk27_3(X2,X3,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_311_0,axiom,
( member(sk1_esk25_3(X2,X3,X1),X3)
| ~ member(X1,image2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_1,axiom,
( ~ member(X1,image2(X2,X3))
| member(sk1_esk25_3(X2,X3,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_312_0,axiom,
( identity(X1,X2)
| ~ apply(X1,sk1_esk17_2(X1,X2),sk1_esk17_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_1,axiom,
( ~ apply(X1,sk1_esk17_2(X1,X2),sk1_esk17_2(X1,X2))
| identity(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_313_0,axiom,
( surjective(X1,X2,X3)
| member(sk1_esk22_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_1,axiom,
( member(sk1_esk22_3(X1,X2,X3),X3)
| surjective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_314_0,axiom,
( injective(X1,X2,X3)
| member(sk1_esk18_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_1,axiom,
( member(sk1_esk18_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_315_0,axiom,
( injective(X1,X2,X3)
| member(sk1_esk19_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_1,axiom,
( member(sk1_esk19_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_316_0,axiom,
( injective(X1,X2,X3)
| member(sk1_esk20_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_1,axiom,
( member(sk1_esk20_3(X1,X2,X3),X3)
| injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_317_0,axiom,
( member(X1,inverse_image2(X2,X3))
| ~ apply(X2,X1,X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_1,axiom,
( ~ apply(X2,X1,X4)
| member(X1,inverse_image2(X2,X3))
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_2,axiom,
( ~ member(X4,X3)
| ~ apply(X2,X1,X4)
| member(X1,inverse_image2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_318_0,axiom,
( member(X1,image2(X2,X3))
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_1,axiom,
( ~ apply(X2,X4,X1)
| member(X1,image2(X2,X3))
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_2,axiom,
( ~ member(X4,X3)
| ~ apply(X2,X4,X1)
| member(X1,image2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_319_0,axiom,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_1,axiom,
( ~ one_to_one(X1,X2,X3)
| injective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_320_0,axiom,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_1,axiom,
( ~ one_to_one(X1,X2,X3)
| surjective(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_321_0,axiom,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ identity(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_1,axiom,
( ~ member(X2,X3)
| apply(X1,X2,X2)
| ~ identity(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_2,axiom,
( ~ identity(X1,X3)
| ~ member(X2,X3)
| apply(X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_322_0,axiom,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_1,axiom,
( member(X1,X3)
| member(X1,X2)
| ~ member(X1,union(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_2,axiom,
( ~ member(X1,union(X3,X2))
| member(X1,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_323_0,axiom,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_1,axiom,
( ~ member(X1,X3)
| ~ member(X1,difference(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_324_0,axiom,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_1,axiom,
( ~ member(X1,X3)
| member(X1,intersection(X2,X3))
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_2,axiom,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_325_0,axiom,
( member(X1,product(X2))
| ~ member(X1,sk1_esk3_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_1,axiom,
( ~ member(X1,sk1_esk3_2(X1,X2))
| member(X1,product(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_326_0,axiom,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_1,axiom,
( ~ member(X1,difference(X2,X3))
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_327_0,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_1,axiom,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_328_0,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_1,axiom,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_329_0,axiom,
( subset(X1,X2)
| ~ member(sk1_esk1_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_1,axiom,
( ~ member(sk1_esk1_2(X1,X2),X2)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_330_0,axiom,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_1,axiom,
( member(X1,X3)
| member(X1,difference(X2,X3))
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_2,axiom,
( ~ member(X1,X2)
| member(X1,X3)
| member(X1,difference(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_331_0,axiom,
( member(sk1_esk2_2(X1,X2),X2)
| ~ member(X1,sum(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_1,axiom,
( ~ member(X1,sum(X2))
| member(sk1_esk2_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_332_0,axiom,
( member(X1,sk1_esk2_2(X1,X2))
| ~ member(X1,sum(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_1,axiom,
( ~ member(X1,sum(X2))
| member(X1,sk1_esk2_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_333_0,axiom,
( member(X1,X2)
| ~ member(X2,X3)
| ~ member(X1,product(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_1,axiom,
( ~ member(X2,X3)
| member(X1,X2)
| ~ member(X1,product(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_2,axiom,
( ~ member(X1,product(X3))
| ~ member(X2,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_334_0,axiom,
( X1 = X2
| X1 = X3
| ~ member(X1,unordered_pair(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_1,axiom,
( X1 = X3
| X1 = X2
| ~ member(X1,unordered_pair(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_2,axiom,
( ~ member(X1,unordered_pair(X3,X2))
| X1 = X3
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_335_0,axiom,
( member(X1,sum(X2))
| ~ member(X1,X3)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_1,axiom,
( ~ member(X1,X3)
| member(X1,sum(X2))
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_2,axiom,
( ~ member(X3,X2)
| ~ member(X1,X3)
| member(X1,sum(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_336_0,axiom,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_1,axiom,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_337_0,axiom,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_1,axiom,
( ~ member(X1,X3)
| member(X1,union(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_338_0,axiom,
( member(X1,product(X2))
| member(sk1_esk3_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_1,axiom,
( member(sk1_esk3_2(X1,X2),X2)
| member(X1,product(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_339_0,axiom,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_1,axiom,
( ~ subset(X2,X1)
| equal_set(X1,X2)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_2,axiom,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| equal_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_340_0,axiom,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_1,axiom,
( ~ member(X1,X3)
| member(X1,X2)
| ~ subset(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_2,axiom,
( ~ subset(X3,X2)
| ~ member(X1,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_341_0,axiom,
( identity(X1,X2)
| member(sk1_esk17_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_1,axiom,
( member(sk1_esk17_2(X1,X2),X2)
| identity(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_342_0,axiom,
( subset(X1,X2)
| member(sk1_esk1_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_1,axiom,
( member(sk1_esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_343_0,axiom,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_1,axiom,
( ~ member(X1,power_set(X2))
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_344_0,axiom,
( member(X1,unordered_pair(X2,X3))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_1,axiom,
( X1 != X2
| member(X1,unordered_pair(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_345_0,axiom,
( member(X1,unordered_pair(X2,X3))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_1,axiom,
( X1 != X3
| member(X1,unordered_pair(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_346_0,axiom,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_1,axiom,
( ~ subset(X1,X2)
| member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_347_0,axiom,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_1,axiom,
( ~ equal_set(X1,X2)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_348_0,axiom,
( subset(X2,X1)
| ~ equal_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_1,axiom,
( ~ equal_set(X1,X2)
| subset(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_349_0,axiom,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_1,axiom,
( ~ member(X1,singleton(X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_350_0,axiom,
( member(X1,singleton(X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_1,axiom,
( X1 != X2
| member(X1,singleton(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_351_0,axiom,
~ member(X1,empty_set),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1,X2,X3,X4,X5] :
( ( maps(X1,X4,X5)
& one_to_one(X1,X4,X5)
& inverse_predicate(X2,X1,X4,X5)
& inverse_predicate(X3,X1,X4,X5) )
=> equal_maps(X2,X3,X5,X4) ),
file('<stdin>',thII03a) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1,X2,X3,X4,X5] :
( ( maps(X1,X4,X5)
& one_to_one(X1,X4,X5)
& inverse_predicate(X2,X1,X4,X5)
& inverse_predicate(X3,X1,X4,X5) )
=> equal_maps(X2,X3,X5,X4) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
( maps(esk1_0,esk4_0,esk5_0)
& one_to_one(esk1_0,esk4_0,esk5_0)
& inverse_predicate(esk2_0,esk1_0,esk4_0,esk5_0)
& inverse_predicate(esk3_0,esk1_0,esk4_0,esk5_0)
& ~ equal_maps(esk2_0,esk3_0,esk5_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_004,negated_conjecture,
~ equal_maps(esk2_0,esk3_0,esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
inverse_predicate(esk2_0,esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
inverse_predicate(esk3_0,esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
maps(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_008,negated_conjecture,
one_to_one(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_009,negated_conjecture,
~ equal_maps(esk2_0,esk3_0,esk5_0,esk4_0),
c_0_3,
[final] ).
cnf(c_0_9_010,negated_conjecture,
inverse_predicate(esk2_0,esk1_0,esk4_0,esk5_0),
c_0_4,
[final] ).
cnf(c_0_10_011,negated_conjecture,
inverse_predicate(esk3_0,esk1_0,esk4_0,esk5_0),
c_0_5,
[final] ).
cnf(c_0_11_012,negated_conjecture,
maps(esk1_0,esk4_0,esk5_0),
c_0_6,
[final] ).
cnf(c_0_12_013,negated_conjecture,
one_to_one(esk1_0,esk4_0,esk5_0),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_145,plain,
( ~ injective(X0,X1,X2)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| X3 = X4 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_294_0) ).
cnf(c_714,plain,
( ~ injective(X0,X1,X2)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| X3 = X4 ),
inference(copy,[status(esa)],[c_145]) ).
cnf(c_162566,plain,
( ~ member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(X0,sk2_esk4_0)
| ~ member(X1,X2)
| ~ apply(X3,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),X1)
| ~ apply(X3,X0,X1)
| ~ injective(X3,sk2_esk4_0,X2)
| sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) = X0 ),
inference(instantiation,[status(thm)],[c_714]) ).
cnf(c_165880,plain,
( ~ member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(X0,X1)
| ~ apply(X2,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),X0)
| ~ apply(X2,sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),X0)
| ~ injective(X2,sk2_esk4_0,X1)
| sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) = sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_162566]) ).
cnf(c_537272,plain,
( ~ member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(X0,sk2_esk5_0)
| ~ apply(sk2_esk1_0,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),X0)
| ~ apply(sk2_esk1_0,sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),X0)
| ~ injective(sk2_esk1_0,sk2_esk4_0,sk2_esk5_0)
| sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) = sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_165880]) ).
cnf(c_718698,plain,
( ~ member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk5_0)
| ~ apply(sk2_esk1_0,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ apply(sk2_esk1_0,sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ injective(sk2_esk1_0,sk2_esk4_0,sk2_esk5_0)
| sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) = sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_537272]) ).
cnf(c_72,plain,
( injective(X0,X1,X2)
| ~ one_to_one(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_319_1) ).
cnf(c_641,plain,
( injective(X0,X1,X2)
| ~ one_to_one(X0,X1,X2) ),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_278272,plain,
( ~ one_to_one(sk2_esk1_0,sk2_esk4_0,sk2_esk5_0)
| injective(sk2_esk1_0,sk2_esk4_0,sk2_esk5_0) ),
inference(instantiation,[status(thm)],[c_641]) ).
cnf(c_182,plain,
( ~ apply(X0,X1,X2)
| ~ member(X2,X3)
| ~ member(X1,X4)
| ~ inverse_predicate(X0,X5,X3,X4)
| apply(X5,X2,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_284_0) ).
cnf(c_751,plain,
( ~ apply(X0,X1,X2)
| ~ member(X2,X3)
| ~ member(X1,X4)
| ~ inverse_predicate(X0,X5,X3,X4)
| apply(X5,X2,X1) ),
inference(copy,[status(esa)],[c_182]) ).
cnf(c_162698,plain,
( ~ member(sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(X0,X1)
| apply(X2,sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),X0)
| ~ apply(X3,X0,sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ inverse_predicate(X3,X2,sk2_esk4_0,X1) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_165524,plain,
( ~ member(sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk5_0)
| apply(X0,sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ apply(X1,sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ inverse_predicate(X1,X0,sk2_esk4_0,sk2_esk5_0) ),
inference(instantiation,[status(thm)],[c_162698]) ).
cnf(c_276774,plain,
( ~ member(sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk5_0)
| ~ apply(sk2_esk2_0,sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| apply(X0,sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ inverse_predicate(sk2_esk2_0,X0,sk2_esk4_0,sk2_esk5_0) ),
inference(instantiation,[status(thm)],[c_165524]) ).
cnf(c_278197,plain,
( ~ member(sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk5_0)
| ~ apply(sk2_esk2_0,sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| apply(sk2_esk1_0,sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ inverse_predicate(sk2_esk2_0,sk2_esk1_0,sk2_esk4_0,sk2_esk5_0) ),
inference(instantiation,[status(thm)],[c_276774]) ).
cnf(c_162488,plain,
( ~ member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(X0,X1)
| apply(X2,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),X0)
| ~ apply(X3,X0,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ inverse_predicate(X3,X2,sk2_esk4_0,X1) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_164775,plain,
( ~ member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk5_0)
| apply(X0,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ apply(X1,sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ inverse_predicate(X1,X0,sk2_esk4_0,sk2_esk5_0) ),
inference(instantiation,[status(thm)],[c_162488]) ).
cnf(c_165465,plain,
( ~ member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk5_0)
| ~ apply(sk2_esk3_0,sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| apply(X0,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ inverse_predicate(sk2_esk3_0,X0,sk2_esk4_0,sk2_esk5_0) ),
inference(instantiation,[status(thm)],[c_164775]) ).
cnf(c_276529,plain,
( ~ member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| ~ member(sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk5_0)
| ~ apply(sk2_esk3_0,sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| apply(sk2_esk1_0,sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| ~ inverse_predicate(sk2_esk3_0,sk2_esk1_0,sk2_esk4_0,sk2_esk5_0) ),
inference(instantiation,[status(thm)],[c_165465]) ).
cnf(c_237,plain,
( equal_maps(X0,X1,X2,X3)
| apply(X0,sk1_esk14_4(X0,X1,X2,X3),sk1_esk15_4(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_264_1) ).
cnf(c_806,plain,
( equal_maps(X0,X1,X2,X3)
| apply(X0,sk1_esk14_4(X0,X1,X2,X3),sk1_esk15_4(X0,X1,X2,X3)) ),
inference(copy,[status(esa)],[c_237]) ).
cnf(c_64752,plain,
( apply(sk2_esk2_0,sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| equal_maps(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_806]) ).
cnf(c_235,plain,
( equal_maps(X0,X1,X2,X3)
| apply(X1,sk1_esk14_4(X0,X1,X2,X3),sk1_esk16_4(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_265_1) ).
cnf(c_804,plain,
( equal_maps(X0,X1,X2,X3)
| apply(X1,sk1_esk14_4(X0,X1,X2,X3),sk1_esk16_4(X0,X1,X2,X3)) ),
inference(copy,[status(esa)],[c_235]) ).
cnf(c_64750,plain,
( apply(sk2_esk3_0,sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0))
| equal_maps(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_804]) ).
cnf(c_233,plain,
( equal_maps(X0,X1,X2,X3)
| sk1_esk16_4(X0,X1,X2,X3) != sk1_esk15_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_266_1) ).
cnf(c_802,plain,
( equal_maps(X0,X1,X2,X3)
| sk1_esk16_4(X0,X1,X2,X3) != sk1_esk15_4(X0,X1,X2,X3) ),
inference(copy,[status(esa)],[c_233]) ).
cnf(c_64748,plain,
( equal_maps(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0)
| sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) != sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_227,plain,
( equal_maps(X0,X1,X2,X3)
| member(sk1_esk14_4(X0,X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_269_1) ).
cnf(c_796,plain,
( equal_maps(X0,X1,X2,X3)
| member(sk1_esk14_4(X0,X1,X2,X3),X2) ),
inference(copy,[status(esa)],[c_227]) ).
cnf(c_64746,plain,
( member(sk1_esk14_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk5_0)
| equal_maps(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_796]) ).
cnf(c_225,plain,
( equal_maps(X0,X1,X2,X3)
| member(sk1_esk15_4(X0,X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_270_1) ).
cnf(c_794,plain,
( equal_maps(X0,X1,X2,X3)
| member(sk1_esk15_4(X0,X1,X2,X3),X3) ),
inference(copy,[status(esa)],[c_225]) ).
cnf(c_64744,plain,
( member(sk1_esk15_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| equal_maps(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_794]) ).
cnf(c_223,plain,
( equal_maps(X0,X1,X2,X3)
| member(sk1_esk16_4(X0,X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_271_1) ).
cnf(c_792,plain,
( equal_maps(X0,X1,X2,X3)
| member(sk1_esk16_4(X0,X1,X2,X3),X3) ),
inference(copy,[status(esa)],[c_223]) ).
cnf(c_64742,plain,
( member(sk1_esk16_4(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),sk2_esk4_0)
| equal_maps(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0) ),
inference(instantiation,[status(thm)],[c_792]) ).
cnf(c_409,negated_conjecture,
~ equal_maps(sk2_esk2_0,sk2_esk3_0,sk2_esk5_0,sk2_esk4_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_8) ).
cnf(c_410,negated_conjecture,
inverse_predicate(sk2_esk2_0,sk2_esk1_0,sk2_esk4_0,sk2_esk5_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_9) ).
cnf(c_411,negated_conjecture,
inverse_predicate(sk2_esk3_0,sk2_esk1_0,sk2_esk4_0,sk2_esk5_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_10) ).
cnf(c_413,negated_conjecture,
one_to_one(sk2_esk1_0,sk2_esk4_0,sk2_esk5_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p',c_0_12) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_718698,c_278272,c_278197,c_276529,c_64752,c_64750,c_64748,c_64746,c_64744,c_64742,c_409,c_410,c_411,c_413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET711+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 16:38:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.18/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.18/0.41 % FOF problem with conjecture
% 0.18/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d85fe0.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_5e62ca | grep -v "SZS"
% 0.18/0.43
% 0.18/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.18/0.43
% 0.18/0.43 %
% 0.18/0.43 % ------ iProver source info
% 0.18/0.43
% 0.18/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.18/0.43 % git: non_committed_changes: true
% 0.18/0.43 % git: last_make_outside_of_git: true
% 0.18/0.43
% 0.18/0.43 %
% 0.18/0.43 % ------ Input Options
% 0.18/0.43
% 0.18/0.43 % --out_options all
% 0.18/0.43 % --tptp_safe_out true
% 0.18/0.43 % --problem_path ""
% 0.18/0.43 % --include_path ""
% 0.18/0.43 % --clausifier .//eprover
% 0.18/0.43 % --clausifier_options --tstp-format
% 0.18/0.43 % --stdin false
% 0.18/0.43 % --dbg_backtrace false
% 0.18/0.43 % --dbg_dump_prop_clauses false
% 0.18/0.43 % --dbg_dump_prop_clauses_file -
% 0.18/0.43 % --dbg_out_stat false
% 0.18/0.43
% 0.18/0.43 % ------ General Options
% 0.18/0.43
% 0.18/0.43 % --fof false
% 0.18/0.43 % --time_out_real 150.
% 0.18/0.43 % --time_out_prep_mult 0.2
% 0.18/0.43 % --time_out_virtual -1.
% 0.18/0.43 % --schedule none
% 0.18/0.43 % --ground_splitting input
% 0.18/0.43 % --splitting_nvd 16
% 0.18/0.43 % --non_eq_to_eq false
% 0.18/0.43 % --prep_gs_sim true
% 0.18/0.43 % --prep_unflatten false
% 0.18/0.43 % --prep_res_sim true
% 0.18/0.43 % --prep_upred true
% 0.18/0.43 % --res_sim_input true
% 0.18/0.43 % --clause_weak_htbl true
% 0.18/0.43 % --gc_record_bc_elim false
% 0.18/0.43 % --symbol_type_check false
% 0.18/0.43 % --clausify_out false
% 0.18/0.43 % --large_theory_mode false
% 0.18/0.43 % --prep_sem_filter none
% 0.18/0.43 % --prep_sem_filter_out false
% 0.18/0.43 % --preprocessed_out false
% 0.18/0.43 % --sub_typing false
% 0.18/0.43 % --brand_transform false
% 0.18/0.43 % --pure_diseq_elim true
% 0.18/0.43 % --min_unsat_core false
% 0.18/0.43 % --pred_elim true
% 0.18/0.43 % --add_important_lit false
% 0.18/0.43 % --soft_assumptions false
% 0.18/0.43 % --reset_solvers false
% 0.18/0.43 % --bc_imp_inh []
% 0.18/0.43 % --conj_cone_tolerance 1.5
% 0.18/0.43 % --prolific_symb_bound 500
% 0.18/0.43 % --lt_threshold 2000
% 0.18/0.43
% 0.18/0.43 % ------ SAT Options
% 0.18/0.43
% 0.18/0.43 % --sat_mode false
% 0.18/0.43 % --sat_fm_restart_options ""
% 0.18/0.43 % --sat_gr_def false
% 0.18/0.43 % --sat_epr_types true
% 0.18/0.43 % --sat_non_cyclic_types false
% 0.18/0.43 % --sat_finite_models false
% 0.18/0.43 % --sat_fm_lemmas false
% 0.18/0.43 % --sat_fm_prep false
% 0.18/0.43 % --sat_fm_uc_incr true
% 0.18/0.43 % --sat_out_model small
% 0.18/0.43 % --sat_out_clauses false
% 0.18/0.43
% 0.18/0.43 % ------ QBF Options
% 0.18/0.43
% 0.18/0.43 % --qbf_mode false
% 0.18/0.43 % --qbf_elim_univ true
% 0.18/0.43 % --qbf_sk_in true
% 0.18/0.43 % --qbf_pred_elim true
% 0.18/0.43 % --qbf_split 32
% 0.18/0.43
% 0.18/0.43 % ------ BMC1 Options
% 0.18/0.43
% 0.18/0.43 % --bmc1_incremental false
% 0.18/0.43 % --bmc1_axioms reachable_all
% 0.18/0.43 % --bmc1_min_bound 0
% 0.18/0.43 % --bmc1_max_bound -1
% 0.18/0.43 % --bmc1_max_bound_default -1
% 0.18/0.43 % --bmc1_symbol_reachability true
% 0.18/0.43 % --bmc1_property_lemmas false
% 0.18/0.43 % --bmc1_k_induction false
% 0.18/0.43 % --bmc1_non_equiv_states false
% 0.18/0.43 % --bmc1_deadlock false
% 0.18/0.43 % --bmc1_ucm false
% 0.18/0.43 % --bmc1_add_unsat_core none
% 0.18/0.43 % --bmc1_unsat_core_children false
% 0.18/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.18/0.43 % --bmc1_out_stat full
% 0.18/0.43 % --bmc1_ground_init false
% 0.18/0.43 % --bmc1_pre_inst_next_state false
% 0.18/0.43 % --bmc1_pre_inst_state false
% 0.18/0.43 % --bmc1_pre_inst_reach_state false
% 0.18/0.43 % --bmc1_out_unsat_core false
% 0.18/0.43 % --bmc1_aig_witness_out false
% 0.18/0.43 % --bmc1_verbose false
% 0.18/0.43 % --bmc1_dump_clauses_tptp false
% 0.18/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.18/0.45 % --bmc1_dump_file -
% 0.18/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.18/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.18/0.45 % --bmc1_ucm_extend_mode 1
% 0.18/0.45 % --bmc1_ucm_init_mode 2
% 0.18/0.45 % --bmc1_ucm_cone_mode none
% 0.18/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.18/0.45 % --bmc1_ucm_relax_model 4
% 0.18/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.18/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.18/0.45 % --bmc1_ucm_layered_model none
% 0.18/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.18/0.45
% 0.18/0.45 % ------ AIG Options
% 0.18/0.45
% 0.18/0.45 % --aig_mode false
% 0.18/0.45
% 0.18/0.45 % ------ Instantiation Options
% 0.18/0.45
% 0.18/0.45 % --instantiation_flag true
% 0.18/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.45 % --inst_solver_per_active 750
% 0.18/0.45 % --inst_solver_calls_frac 0.5
% 0.18/0.45 % --inst_passive_queue_type priority_queues
% 0.18/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.45 % --inst_passive_queues_freq [25;2]
% 0.18/0.45 % --inst_dismatching true
% 0.18/0.45 % --inst_eager_unprocessed_to_passive true
% 0.18/0.45 % --inst_prop_sim_given true
% 0.18/0.45 % --inst_prop_sim_new false
% 0.18/0.45 % --inst_orphan_elimination true
% 0.18/0.45 % --inst_learning_loop_flag true
% 0.18/0.45 % --inst_learning_start 3000
% 0.18/0.45 % --inst_learning_factor 2
% 0.18/0.45 % --inst_start_prop_sim_after_learn 3
% 0.18/0.45 % --inst_sel_renew solver
% 0.18/0.45 % --inst_lit_activity_flag true
% 0.18/0.45 % --inst_out_proof true
% 0.18/0.45
% 0.18/0.45 % ------ Resolution Options
% 0.18/0.45
% 0.18/0.45 % --resolution_flag true
% 0.18/0.45 % --res_lit_sel kbo_max
% 0.18/0.45 % --res_to_prop_solver none
% 0.18/0.45 % --res_prop_simpl_new false
% 0.18/0.45 % --res_prop_simpl_given false
% 0.18/0.45 % --res_passive_queue_type priority_queues
% 0.18/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.45 % --res_passive_queues_freq [15;5]
% 0.18/0.45 % --res_forward_subs full
% 0.18/0.45 % --res_backward_subs full
% 0.18/0.45 % --res_forward_subs_resolution true
% 0.18/0.45 % --res_backward_subs_resolution true
% 0.18/0.45 % --res_orphan_elimination false
% 0.18/0.45 % --res_time_limit 1000.
% 0.18/0.45 % --res_out_proof true
% 0.18/0.45 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d85fe0.s
% 0.18/0.45 % --modulo true
% 0.18/0.45
% 0.18/0.45 % ------ Combination Options
% 0.18/0.45
% 0.18/0.45 % --comb_res_mult 1000
% 0.18/0.45 % --comb_inst_mult 300
% 0.18/0.45 % ------
% 0.18/0.45
% 0.18/0.45 % ------ Parsing...% successful
% 0.18/0.45
% 0.18/0.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.18/0.45
% 0.18/0.45 % ------ Proving...
% 0.18/0.45 % ------ Problem Properties
% 0.18/0.45
% 0.18/0.45 %
% 0.18/0.45 % EPR false
% 0.18/0.45 % Horn false
% 0.18/0.45 % Has equality true
% 0.18/0.45
% 0.18/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 % % ------ Current options:
% 0.18/0.45
% 0.18/0.45 % ------ Input Options
% 0.18/0.45
% 0.18/0.45 % --out_options all
% 0.18/0.45 % --tptp_safe_out true
% 0.18/0.45 % --problem_path ""
% 0.18/0.45 % --include_path ""
% 0.18/0.45 % --clausifier .//eprover
% 0.18/0.45 % --clausifier_options --tstp-format
% 0.18/0.45 % --stdin false
% 0.18/0.45 % --dbg_backtrace false
% 0.18/0.45 % --dbg_dump_prop_clauses false
% 0.18/0.45 % --dbg_dump_prop_clauses_file -
% 0.18/0.45 % --dbg_out_stat false
% 0.18/0.45
% 0.18/0.45 % ------ General Options
% 0.18/0.45
% 0.18/0.45 % --fof false
% 0.18/0.45 % --time_out_real 150.
% 0.18/0.45 % --time_out_prep_mult 0.2
% 0.18/0.45 % --time_out_virtual -1.
% 0.18/0.45 % --schedule none
% 0.18/0.45 % --ground_splitting input
% 0.18/0.45 % --splitting_nvd 16
% 0.18/0.45 % --non_eq_to_eq false
% 0.18/0.45 % --prep_gs_sim true
% 0.18/0.45 % --prep_unflatten false
% 0.18/0.45 % --prep_res_sim true
% 0.18/0.45 % --prep_upred true
% 0.18/0.45 % --res_sim_input true
% 0.18/0.45 % --clause_weak_htbl true
% 0.18/0.45 % --gc_record_bc_elim false
% 0.18/0.45 % --symbol_type_check false
% 0.18/0.45 % --clausify_out false
% 0.18/0.45 % --large_theory_mode false
% 0.18/0.45 % --prep_sem_filter none
% 0.18/0.45 % --prep_sem_filter_out false
% 0.18/0.45 % --preprocessed_out false
% 0.18/0.45 % --sub_typing false
% 0.18/0.45 % --brand_transform false
% 0.18/0.45 % --pure_diseq_elim true
% 0.18/0.45 % --min_unsat_core false
% 0.18/0.45 % --pred_elim true
% 0.18/0.45 % --add_important_lit false
% 0.18/0.45 % --soft_assumptions false
% 0.18/0.45 % --reset_solvers false
% 0.18/0.45 % --bc_imp_inh []
% 0.18/0.45 % --conj_cone_tolerance 1.5
% 0.18/0.45 % --prolific_symb_bound 500
% 0.18/0.45 % --lt_threshold 2000
% 0.18/0.45
% 0.18/0.45 % ------ SAT Options
% 0.18/0.45
% 0.18/0.45 % --sat_mode false
% 0.18/0.45 % --sat_fm_restart_options ""
% 0.18/0.45 % --sat_gr_def false
% 0.18/0.45 % --sat_epr_types true
% 0.18/0.45 % --sat_non_cyclic_types false
% 0.18/0.45 % --sat_finite_models false
% 0.18/0.45 % --sat_fm_lemmas false
% 0.18/0.45 % --sat_fm_prep false
% 0.18/0.45 % --sat_fm_uc_incr true
% 0.18/0.45 % --sat_out_model small
% 0.18/0.45 % --sat_out_clauses false
% 0.18/0.45
% 0.18/0.45 % ------ QBF Options
% 0.18/0.45
% 0.18/0.45 % --qbf_mode false
% 0.18/0.45 % --qbf_elim_univ true
% 0.18/0.45 % --qbf_sk_in true
% 0.18/0.45 % --qbf_pred_elim true
% 0.18/0.45 % --qbf_split 32
% 0.18/0.45
% 0.18/0.45 % ------ BMC1 Options
% 0.18/0.45
% 0.18/0.45 % --bmc1_incremental false
% 0.18/0.45 % --bmc1_axioms reachable_all
% 0.18/0.45 % --bmc1_min_bound 0
% 0.18/0.45 % --bmc1_max_bound -1
% 0.18/0.45 % --bmc1_max_bound_default -1
% 0.18/0.45 % --bmc1_symbol_reachability true
% 0.18/0.45 % --bmc1_property_lemmas false
% 0.18/0.45 % --bmc1_k_induction false
% 0.18/0.45 % --bmc1_non_equiv_states false
% 0.18/0.45 % --bmc1_deadlock false
% 0.18/0.45 % --bmc1_ucm false
% 0.18/0.45 % --bmc1_add_unsat_core none
% 0.18/0.45 % --bmc1_unsat_core_children false
% 0.18/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.18/0.45 % --bmc1_out_stat full
% 0.18/0.45 % --bmc1_ground_init false
% 0.18/0.45 % --bmc1_pre_inst_next_state false
% 0.18/0.45 % --bmc1_pre_inst_state false
% 0.18/0.45 % --bmc1_pre_inst_reach_state false
% 0.18/0.45 % --bmc1_out_unsat_core false
% 0.18/0.45 % --bmc1_aig_witness_out false
% 0.18/0.45 % --bmc1_verbose false
% 0.18/0.45 % --bmc1_dump_clauses_tptp false
% 0.18/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.18/0.45 % --bmc1_dump_file -
% 0.18/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.18/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.18/0.45 % --bmc1_ucm_extend_mode 1
% 0.18/0.45 % --bmc1_ucm_init_mode 2
% 0.18/0.45 % --bmc1_ucm_cone_mode none
% 0.18/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.18/0.45 % --bmc1_ucm_relax_model 4
% 0.18/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.18/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.18/0.45 % --bmc1_ucm_layered_model none
% 0.18/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.18/0.45
% 0.18/0.45 % ------ AIG Options
% 0.18/0.45
% 0.18/0.45 % --aig_mode false
% 0.18/0.45
% 0.18/0.45 % ------ Instantiation Options
% 0.18/0.45
% 0.18/0.45 % --instantiation_flag true
% 0.18/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.45 % --inst_solver_per_active 750
% 0.18/0.45 % --inst_solver_calls_frac 0.5
% 0.18/0.45 % --inst_passive_queue_type priority_queues
% 0.18/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.45 % --inst_passive_queues_freq [25;2]
% 0.18/0.45 % --inst_dismatching true
% 0.18/0.45 % --inst_eager_unprocessed_to_passive true
% 0.18/0.45 % --inst_prop_sim_given true
% 150.25/150.43 % --inst_prop_sim_new false
% 150.25/150.43 % --inst_orphan_elimination true
% 150.25/150.43 % --inst_learning_loop_flag true
% 150.25/150.43 % --inst_learning_start 3000
% 150.25/150.43 % --inst_learning_factor 2
% 150.25/150.43 % --inst_start_prop_sim_after_learn 3
% 150.25/150.43 % --inst_sel_renew solver
% 150.25/150.43 % --inst_lit_activity_flag true
% 150.25/150.43 % --inst_out_proof true
% 150.25/150.43
% 150.25/150.43 % ------ Resolution Options
% 150.25/150.43
% 150.25/150.43 % --resolution_flag true
% 150.25/150.43 % --res_lit_sel kbo_max
% 150.25/150.43 % --res_to_prop_solver none
% 150.25/150.43 % --res_prop_simpl_new false
% 150.25/150.43 % --res_prop_simpl_given false
% 150.25/150.43 % --res_passive_queue_type priority_queues
% 150.25/150.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.25/150.43 % --res_passive_queues_freq [15;5]
% 150.25/150.43 % --res_forward_subs full
% 150.25/150.43 % --res_backward_subs full
% 150.25/150.43 % --res_forward_subs_resolution true
% 150.25/150.43 % --res_backward_subs_resolution true
% 150.25/150.43 % --res_orphan_elimination false
% 150.25/150.43 % --res_time_limit 1000.
% 150.25/150.43 % --res_out_proof true
% 150.25/150.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d85fe0.s
% 150.25/150.43 % --modulo true
% 150.25/150.43
% 150.25/150.43 % ------ Combination Options
% 150.25/150.43
% 150.25/150.43 % --comb_res_mult 1000
% 150.25/150.43 % --comb_inst_mult 300
% 150.25/150.43 % ------
% 150.25/150.43
% 150.25/150.43
% 150.25/150.43
% 150.25/150.43 % ------ Proving...
% 150.25/150.43 %
% 150.25/150.43
% 150.25/150.43
% 150.25/150.43 % Time Out Real
% 150.25/150.43
% 150.25/150.43 % ------ Statistics
% 150.25/150.43
% 150.25/150.43 % ------ General
% 150.25/150.43
% 150.25/150.43 % num_of_input_clauses: 159
% 150.25/150.43 % num_of_input_neg_conjectures: 5
% 150.25/150.43 % num_of_splits: 0
% 150.25/150.43 % num_of_split_atoms: 0
% 150.25/150.43 % num_of_sem_filtered_clauses: 0
% 150.25/150.43 % num_of_subtypes: 0
% 150.25/150.43 % monotx_restored_types: 0
% 150.25/150.43 % sat_num_of_epr_types: 0
% 150.25/150.43 % sat_num_of_non_cyclic_types: 0
% 150.25/150.43 % sat_guarded_non_collapsed_types: 0
% 150.25/150.43 % is_epr: 0
% 150.25/150.43 % is_horn: 0
% 150.25/150.43 % has_eq: 1
% 150.25/150.43 % num_pure_diseq_elim: 0
% 150.25/150.43 % simp_replaced_by: 0
% 150.25/150.43 % res_preprocessed: 10
% 150.25/150.43 % prep_upred: 0
% 150.25/150.43 % prep_unflattend: 0
% 150.25/150.43 % pred_elim_cands: 0
% 150.25/150.43 % pred_elim: 0
% 150.25/150.43 % pred_elim_cl: 0
% 150.25/150.43 % pred_elim_cycles: 0
% 150.25/150.43 % forced_gc_time: 0
% 150.25/150.43 % gc_basic_clause_elim: 0
% 150.25/150.43 % parsing_time: 0.009
% 150.25/150.43 % sem_filter_time: 0.
% 150.25/150.43 % pred_elim_time: 0.
% 150.25/150.43 % out_proof_time: 0.
% 150.25/150.43 % monotx_time: 0.
% 150.25/150.43 % subtype_inf_time: 0.
% 150.25/150.43 % unif_index_cands_time: 0.253
% 150.25/150.43 % unif_index_add_time: 0.03
% 150.25/150.43 % total_time: 150.016
% 150.25/150.43 % num_of_symbols: 100
% 150.25/150.43 % num_of_terms: 423150
% 150.25/150.43
% 150.25/150.43 % ------ Propositional Solver
% 150.25/150.43
% 150.25/150.43 % prop_solver_calls: 20
% 150.25/150.43 % prop_fast_solver_calls: 15
% 150.25/150.43 % prop_num_of_clauses: 30690
% 150.25/150.43 % prop_preprocess_simplified: 31762
% 150.25/150.43 % prop_fo_subsumed: 0
% 150.25/150.43 % prop_solver_time: 0.015
% 150.25/150.43 % prop_fast_solver_time: 0.
% 150.25/150.43 % prop_unsat_core_time: 0.
% 150.25/150.43
% 150.25/150.43 % ------ QBF
% 150.25/150.43
% 150.25/150.43 % qbf_q_res: 0
% 150.25/150.43 % qbf_num_tautologies: 0
% 150.25/150.43 % qbf_prep_cycles: 0
% 150.25/150.43
% 150.25/150.43 % ------ BMC1
% 150.25/150.43
% 150.25/150.43 % bmc1_current_bound: -1
% 150.25/150.43 % bmc1_last_solved_bound: -1
% 150.25/150.43 % bmc1_unsat_core_size: -1
% 150.25/150.43 % bmc1_unsat_core_parents_size: -1
% 150.25/150.43 % bmc1_merge_next_fun: 0
% 150.25/150.43 % bmc1_unsat_core_clauses_time: 0.
% 150.25/150.43
% 150.25/150.43 % ------ Instantiation
% 150.25/150.43
% 150.25/150.43 % inst_num_of_clauses: 16916
% 150.25/150.43 % inst_num_in_passive: 13700
% 150.25/150.43 % inst_num_in_active: 1743
% 150.25/150.43 % inst_num_in_unprocessed: 1463
% 150.25/150.43 % inst_num_of_loops: 2100
% 150.27/150.44 % inst_num_of_learning_restarts: 0
% 150.27/150.44 % inst_num_moves_active_passive: 355
% 150.27/150.44 % inst_lit_activity: 1022
% 150.27/150.44 % inst_lit_activity_moves: 7
% 150.27/150.44 % inst_num_tautologies: 1
% 150.27/150.44 % inst_num_prop_implied: 0
% 150.27/150.44 % inst_num_existing_simplified: 0
% 150.27/150.44 % inst_num_eq_res_simplified: 9
% 150.27/150.44 % inst_num_child_elim: 0
% 150.27/150.44 % inst_num_of_dismatching_blockings: 40960
% 150.27/150.44 % inst_num_of_non_proper_insts: 18238
% 150.27/150.44 % inst_num_of_duplicates: 5809
% 150.27/150.44 % inst_inst_num_from_inst_to_res: 0
% 150.27/150.44 % inst_dismatching_checking_time: 0.348
% 150.27/150.44
% 150.27/150.44 % ------ Resolution
% 150.27/150.44
% 150.27/150.44 % res_num_of_clauses: 1089055
% 150.27/150.44 % res_num_in_passive: 1086186
% 150.27/150.44 % res_num_in_active: 5966
% 150.27/150.44 % res_num_of_loops: 7335
% 150.27/150.44 % res_forward_subset_subsumed: 21249
% 150.27/150.44 % res_backward_subset_subsumed: 3589
% 150.27/150.44 % res_forward_subsumed: 1366
% 150.27/150.44 % res_backward_subsumed: 24
% 150.27/150.44 % res_forward_subsumption_resolution: 845
% 150.27/150.44 % res_backward_subsumption_resolution: 0
% 150.27/150.44 % res_clause_to_clause_subsumption: 144056
% 150.27/150.44 % res_orphan_elimination: 0
% 150.27/150.44 % res_tautology_del: 13674
% 150.27/150.44 % res_num_eq_res_simplified: 0
% 150.27/150.44 % res_num_sel_changes: 0
% 150.27/150.44 % res_moves_from_active_to_pass: 0
% 150.27/150.44
% 150.27/150.44 % Status Unknown
% 150.27/150.50 % Orienting using strategy ClausalAll
% 150.27/150.50 % FOF problem with conjecture
% 150.27/150.50 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d85fe0.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f9a2fe.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_43a386 | grep -v "SZS"
% 150.34/150.51
% 150.34/150.51 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.34/150.51
% 150.34/150.51 %
% 150.34/150.51 % ------ iProver source info
% 150.34/150.51
% 150.34/150.51 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.34/150.51 % git: non_committed_changes: true
% 150.34/150.51 % git: last_make_outside_of_git: true
% 150.34/150.51
% 150.34/150.51 %
% 150.34/150.51 % ------ Input Options
% 150.34/150.51
% 150.34/150.51 % --out_options all
% 150.34/150.51 % --tptp_safe_out true
% 150.34/150.51 % --problem_path ""
% 150.34/150.51 % --include_path ""
% 150.34/150.51 % --clausifier .//eprover
% 150.34/150.51 % --clausifier_options --tstp-format
% 150.34/150.51 % --stdin false
% 150.34/150.51 % --dbg_backtrace false
% 150.34/150.51 % --dbg_dump_prop_clauses false
% 150.34/150.51 % --dbg_dump_prop_clauses_file -
% 150.34/150.51 % --dbg_out_stat false
% 150.34/150.51
% 150.34/150.51 % ------ General Options
% 150.34/150.51
% 150.34/150.51 % --fof false
% 150.34/150.51 % --time_out_real 150.
% 150.34/150.51 % --time_out_prep_mult 0.2
% 150.34/150.51 % --time_out_virtual -1.
% 150.34/150.51 % --schedule none
% 150.34/150.51 % --ground_splitting input
% 150.34/150.51 % --splitting_nvd 16
% 150.34/150.51 % --non_eq_to_eq false
% 150.34/150.51 % --prep_gs_sim true
% 150.34/150.51 % --prep_unflatten false
% 150.34/150.51 % --prep_res_sim true
% 150.34/150.51 % --prep_upred true
% 150.34/150.51 % --res_sim_input true
% 150.34/150.51 % --clause_weak_htbl true
% 150.34/150.51 % --gc_record_bc_elim false
% 150.34/150.51 % --symbol_type_check false
% 150.34/150.51 % --clausify_out false
% 150.34/150.51 % --large_theory_mode false
% 150.34/150.51 % --prep_sem_filter none
% 150.34/150.51 % --prep_sem_filter_out false
% 150.34/150.51 % --preprocessed_out false
% 150.34/150.51 % --sub_typing false
% 150.34/150.51 % --brand_transform false
% 150.34/150.51 % --pure_diseq_elim true
% 150.34/150.51 % --min_unsat_core false
% 150.34/150.51 % --pred_elim true
% 150.34/150.51 % --add_important_lit false
% 150.34/150.51 % --soft_assumptions false
% 150.34/150.51 % --reset_solvers false
% 150.34/150.51 % --bc_imp_inh []
% 150.34/150.51 % --conj_cone_tolerance 1.5
% 150.34/150.51 % --prolific_symb_bound 500
% 150.34/150.51 % --lt_threshold 2000
% 150.34/150.51
% 150.34/150.51 % ------ SAT Options
% 150.34/150.51
% 150.34/150.51 % --sat_mode false
% 150.34/150.51 % --sat_fm_restart_options ""
% 150.34/150.51 % --sat_gr_def false
% 150.34/150.51 % --sat_epr_types true
% 150.34/150.51 % --sat_non_cyclic_types false
% 150.34/150.51 % --sat_finite_models false
% 150.34/150.51 % --sat_fm_lemmas false
% 150.34/150.51 % --sat_fm_prep false
% 150.34/150.51 % --sat_fm_uc_incr true
% 150.34/150.51 % --sat_out_model small
% 150.34/150.51 % --sat_out_clauses false
% 150.34/150.51
% 150.34/150.51 % ------ QBF Options
% 150.34/150.51
% 150.34/150.51 % --qbf_mode false
% 150.34/150.51 % --qbf_elim_univ true
% 150.34/150.51 % --qbf_sk_in true
% 150.34/150.51 % --qbf_pred_elim true
% 150.34/150.51 % --qbf_split 32
% 150.34/150.51
% 150.34/150.51 % ------ BMC1 Options
% 150.34/150.51
% 150.34/150.51 % --bmc1_incremental false
% 150.34/150.51 % --bmc1_axioms reachable_all
% 150.34/150.51 % --bmc1_min_bound 0
% 150.34/150.51 % --bmc1_max_bound -1
% 150.34/150.51 % --bmc1_max_bound_default -1
% 150.34/150.51 % --bmc1_symbol_reachability true
% 150.34/150.51 % --bmc1_property_lemmas false
% 150.34/150.51 % --bmc1_k_induction false
% 150.34/150.51 % --bmc1_non_equiv_states false
% 150.34/150.51 % --bmc1_deadlock false
% 150.34/150.51 % --bmc1_ucm false
% 150.34/150.51 % --bmc1_add_unsat_core none
% 150.34/150.51 % --bmc1_unsat_core_children false
% 150.34/150.51 % --bmc1_unsat_core_extrapolate_axioms false
% 150.34/150.51 % --bmc1_out_stat full
% 150.34/150.51 % --bmc1_ground_init false
% 150.34/150.51 % --bmc1_pre_inst_next_state false
% 150.34/150.51 % --bmc1_pre_inst_state false
% 150.34/150.51 % --bmc1_pre_inst_reach_state false
% 150.34/150.51 % --bmc1_out_unsat_core false
% 150.34/150.51 % --bmc1_aig_witness_out false
% 150.34/150.51 % --bmc1_verbose false
% 150.34/150.51 % --bmc1_dump_clauses_tptp false
% 150.34/150.54 % --bmc1_dump_unsat_core_tptp false
% 150.34/150.54 % --bmc1_dump_file -
% 150.34/150.54 % --bmc1_ucm_expand_uc_limit 128
% 150.34/150.54 % --bmc1_ucm_n_expand_iterations 6
% 150.34/150.54 % --bmc1_ucm_extend_mode 1
% 150.34/150.54 % --bmc1_ucm_init_mode 2
% 150.34/150.54 % --bmc1_ucm_cone_mode none
% 150.34/150.54 % --bmc1_ucm_reduced_relation_type 0
% 150.34/150.54 % --bmc1_ucm_relax_model 4
% 150.34/150.54 % --bmc1_ucm_full_tr_after_sat true
% 150.34/150.54 % --bmc1_ucm_expand_neg_assumptions false
% 150.34/150.54 % --bmc1_ucm_layered_model none
% 150.34/150.54 % --bmc1_ucm_max_lemma_size 10
% 150.34/150.54
% 150.34/150.54 % ------ AIG Options
% 150.34/150.54
% 150.34/150.54 % --aig_mode false
% 150.34/150.54
% 150.34/150.54 % ------ Instantiation Options
% 150.34/150.54
% 150.34/150.54 % --instantiation_flag true
% 150.34/150.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.34/150.54 % --inst_solver_per_active 750
% 150.34/150.54 % --inst_solver_calls_frac 0.5
% 150.34/150.54 % --inst_passive_queue_type priority_queues
% 150.34/150.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.34/150.54 % --inst_passive_queues_freq [25;2]
% 150.34/150.54 % --inst_dismatching true
% 150.34/150.54 % --inst_eager_unprocessed_to_passive true
% 150.34/150.54 % --inst_prop_sim_given true
% 150.34/150.54 % --inst_prop_sim_new false
% 150.34/150.54 % --inst_orphan_elimination true
% 150.34/150.54 % --inst_learning_loop_flag true
% 150.34/150.54 % --inst_learning_start 3000
% 150.34/150.54 % --inst_learning_factor 2
% 150.34/150.54 % --inst_start_prop_sim_after_learn 3
% 150.34/150.54 % --inst_sel_renew solver
% 150.34/150.54 % --inst_lit_activity_flag true
% 150.34/150.54 % --inst_out_proof true
% 150.34/150.54
% 150.34/150.54 % ------ Resolution Options
% 150.34/150.54
% 150.34/150.54 % --resolution_flag true
% 150.34/150.54 % --res_lit_sel kbo_max
% 150.34/150.54 % --res_to_prop_solver none
% 150.34/150.54 % --res_prop_simpl_new false
% 150.34/150.54 % --res_prop_simpl_given false
% 150.34/150.54 % --res_passive_queue_type priority_queues
% 150.34/150.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.34/150.54 % --res_passive_queues_freq [15;5]
% 150.34/150.54 % --res_forward_subs full
% 150.34/150.54 % --res_backward_subs full
% 150.34/150.54 % --res_forward_subs_resolution true
% 150.34/150.54 % --res_backward_subs_resolution true
% 150.34/150.54 % --res_orphan_elimination false
% 150.34/150.54 % --res_time_limit 1000.
% 150.34/150.54 % --res_out_proof true
% 150.34/150.54 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d85fe0.s
% 150.34/150.54 % --modulo true
% 150.34/150.54
% 150.34/150.54 % ------ Combination Options
% 150.34/150.54
% 150.34/150.54 % --comb_res_mult 1000
% 150.34/150.54 % --comb_inst_mult 300
% 150.34/150.54 % ------
% 150.34/150.54
% 150.34/150.54 % ------ Parsing...% successful
% 150.34/150.54
% 150.34/150.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.34/150.54
% 150.34/150.54 % ------ Proving...
% 150.34/150.54 % ------ Problem Properties
% 150.34/150.54
% 150.34/150.54 %
% 150.34/150.54 % EPR false
% 150.34/150.54 % Horn false
% 150.34/150.54 % Has equality true
% 150.34/150.54
% 150.34/150.54 % % ------ Input Options Time Limit: Unbounded
% 150.34/150.54
% 150.34/150.54
% 150.34/150.54 % % ------ Current options:
% 150.34/150.54
% 150.34/150.54 % ------ Input Options
% 150.34/150.54
% 150.34/150.54 % --out_options all
% 150.34/150.54 % --tptp_safe_out true
% 150.34/150.54 % --problem_path ""
% 150.34/150.54 % --include_path ""
% 150.34/150.54 % --clausifier .//eprover
% 150.34/150.54 % --clausifier_options --tstp-format
% 150.34/150.54 % --stdin false
% 150.34/150.54 % --dbg_backtrace false
% 150.34/150.54 % --dbg_dump_prop_clauses false
% 150.34/150.54 % --dbg_dump_prop_clauses_file -
% 150.34/150.54 % --dbg_out_stat false
% 150.34/150.54
% 150.34/150.54 % ------ General Options
% 150.34/150.54
% 150.34/150.54 % --fof false
% 150.34/150.54 % --time_out_real 150.
% 150.34/150.54 % --time_out_prep_mult 0.2
% 150.34/150.54 % --time_out_virtual -1.
% 150.34/150.54 % --schedule none
% 150.34/150.54 % --ground_splitting input
% 150.34/150.54 % --splitting_nvd 16
% 150.34/150.54 % --non_eq_to_eq false
% 150.34/150.54 % --prep_gs_sim true
% 150.34/150.54 % --prep_unflatten false
% 150.34/150.54 % --prep_res_sim true
% 150.34/150.54 % --prep_upred true
% 150.34/150.54 % --res_sim_input true
% 150.34/150.54 % --clause_weak_htbl true
% 150.34/150.54 % --gc_record_bc_elim false
% 150.34/150.54 % --symbol_type_check false
% 150.34/150.54 % --clausify_out false
% 150.34/150.54 % --large_theory_mode false
% 150.34/150.54 % --prep_sem_filter none
% 150.34/150.54 % --prep_sem_filter_out false
% 150.34/150.54 % --preprocessed_out false
% 150.34/150.54 % --sub_typing false
% 150.34/150.54 % --brand_transform false
% 150.34/150.54 % --pure_diseq_elim true
% 150.34/150.54 % --min_unsat_core false
% 150.34/150.54 % --pred_elim true
% 150.34/150.54 % --add_important_lit false
% 150.34/150.54 % --soft_assumptions false
% 150.34/150.54 % --reset_solvers false
% 150.34/150.54 % --bc_imp_inh []
% 150.34/150.54 % --conj_cone_tolerance 1.5
% 150.34/150.54 % --prolific_symb_bound 500
% 150.34/150.54 % --lt_threshold 2000
% 150.34/150.54
% 150.34/150.54 % ------ SAT Options
% 150.34/150.54
% 150.34/150.54 % --sat_mode false
% 150.34/150.54 % --sat_fm_restart_options ""
% 150.34/150.54 % --sat_gr_def false
% 150.34/150.54 % --sat_epr_types true
% 150.34/150.54 % --sat_non_cyclic_types false
% 150.34/150.54 % --sat_finite_models false
% 150.34/150.54 % --sat_fm_lemmas false
% 150.34/150.54 % --sat_fm_prep false
% 150.34/150.54 % --sat_fm_uc_incr true
% 150.34/150.54 % --sat_out_model small
% 150.34/150.54 % --sat_out_clauses false
% 150.34/150.54
% 150.34/150.54 % ------ QBF Options
% 150.34/150.54
% 150.34/150.54 % --qbf_mode false
% 150.34/150.54 % --qbf_elim_univ true
% 150.34/150.54 % --qbf_sk_in true
% 150.34/150.54 % --qbf_pred_elim true
% 150.34/150.54 % --qbf_split 32
% 150.34/150.54
% 150.34/150.54 % ------ BMC1 Options
% 150.34/150.54
% 150.34/150.54 % --bmc1_incremental false
% 150.34/150.54 % --bmc1_axioms reachable_all
% 150.34/150.54 % --bmc1_min_bound 0
% 150.34/150.54 % --bmc1_max_bound -1
% 150.34/150.54 % --bmc1_max_bound_default -1
% 150.34/150.54 % --bmc1_symbol_reachability true
% 150.34/150.54 % --bmc1_property_lemmas false
% 150.34/150.54 % --bmc1_k_induction false
% 150.34/150.54 % --bmc1_non_equiv_states false
% 150.34/150.54 % --bmc1_deadlock false
% 150.34/150.54 % --bmc1_ucm false
% 150.34/150.54 % --bmc1_add_unsat_core none
% 150.34/150.54 % --bmc1_unsat_core_children false
% 150.34/150.54 % --bmc1_unsat_core_extrapolate_axioms false
% 150.34/150.54 % --bmc1_out_stat full
% 150.34/150.54 % --bmc1_ground_init false
% 150.34/150.54 % --bmc1_pre_inst_next_state false
% 150.34/150.54 % --bmc1_pre_inst_state false
% 150.34/150.54 % --bmc1_pre_inst_reach_state false
% 150.34/150.54 % --bmc1_out_unsat_core false
% 150.34/150.54 % --bmc1_aig_witness_out false
% 150.34/150.54 % --bmc1_verbose false
% 150.34/150.54 % --bmc1_dump_clauses_tptp false
% 150.34/150.54 % --bmc1_dump_unsat_core_tptp false
% 150.34/150.54 % --bmc1_dump_file -
% 150.34/150.54 % --bmc1_ucm_expand_uc_limit 128
% 150.34/150.54 % --bmc1_ucm_n_expand_iterations 6
% 150.34/150.54 % --bmc1_ucm_extend_mode 1
% 150.34/150.54 % --bmc1_ucm_init_mode 2
% 150.34/150.54 % --bmc1_ucm_cone_mode none
% 150.34/150.54 % --bmc1_ucm_reduced_relation_type 0
% 150.34/150.54 % --bmc1_ucm_relax_model 4
% 150.34/150.54 % --bmc1_ucm_full_tr_after_sat true
% 150.34/150.54 % --bmc1_ucm_expand_neg_assumptions false
% 150.34/150.54 % --bmc1_ucm_layered_model none
% 150.34/150.54 % --bmc1_ucm_max_lemma_size 10
% 150.34/150.54
% 150.34/150.54 % ------ AIG Options
% 150.34/150.54
% 150.34/150.54 % --aig_mode false
% 150.34/150.54
% 150.34/150.54 % ------ Instantiation Options
% 150.34/150.54
% 150.34/150.54 % --instantiation_flag true
% 150.34/150.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.34/150.54 % --inst_solver_per_active 750
% 150.34/150.54 % --inst_solver_calls_frac 0.5
% 150.34/150.54 % --inst_passive_queue_type priority_queues
% 150.34/150.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.34/150.54 % --inst_passive_queues_freq [25;2]
% 150.34/150.54 % --inst_dismatching true
% 150.34/150.54 % --inst_eager_unprocessed_to_passive true
% 150.34/150.54 % --inst_prop_sim_given true
% 211.03/211.23 % --inst_prop_sim_new false
% 211.03/211.23 % --inst_orphan_elimination true
% 211.03/211.23 % --inst_learning_loop_flag true
% 211.03/211.23 % --inst_learning_start 3000
% 211.03/211.23 % --inst_learning_factor 2
% 211.03/211.23 % --inst_start_prop_sim_after_learn 3
% 211.03/211.23 % --inst_sel_renew solver
% 211.03/211.23 % --inst_lit_activity_flag true
% 211.03/211.23 % --inst_out_proof true
% 211.03/211.23
% 211.03/211.23 % ------ Resolution Options
% 211.03/211.23
% 211.03/211.23 % --resolution_flag true
% 211.03/211.23 % --res_lit_sel kbo_max
% 211.03/211.23 % --res_to_prop_solver none
% 211.03/211.23 % --res_prop_simpl_new false
% 211.03/211.23 % --res_prop_simpl_given false
% 211.03/211.23 % --res_passive_queue_type priority_queues
% 211.03/211.23 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 211.03/211.23 % --res_passive_queues_freq [15;5]
% 211.03/211.23 % --res_forward_subs full
% 211.03/211.23 % --res_backward_subs full
% 211.03/211.23 % --res_forward_subs_resolution true
% 211.03/211.23 % --res_backward_subs_resolution true
% 211.03/211.23 % --res_orphan_elimination false
% 211.03/211.23 % --res_time_limit 1000.
% 211.03/211.23 % --res_out_proof true
% 211.03/211.23 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d85fe0.s
% 211.03/211.23 % --modulo true
% 211.03/211.23
% 211.03/211.23 % ------ Combination Options
% 211.03/211.23
% 211.03/211.23 % --comb_res_mult 1000
% 211.03/211.23 % --comb_inst_mult 300
% 211.03/211.23 % ------
% 211.03/211.23
% 211.03/211.23
% 211.03/211.23
% 211.03/211.23 % ------ Proving...
% 211.03/211.23 %
% 211.03/211.23
% 211.03/211.23
% 211.03/211.23 % ------ Statistics
% 211.03/211.23
% 211.03/211.23 % ------ General
% 211.03/211.23
% 211.03/211.23 % num_of_input_clauses: 414
% 211.03/211.23 % num_of_input_neg_conjectures: 5
% 211.03/211.23 % num_of_splits: 0
% 211.03/211.23 % num_of_split_atoms: 0
% 211.03/211.23 % num_of_sem_filtered_clauses: 0
% 211.03/211.23 % num_of_subtypes: 0
% 211.03/211.23 % monotx_restored_types: 0
% 211.03/211.23 % sat_num_of_epr_types: 0
% 211.03/211.23 % sat_num_of_non_cyclic_types: 0
% 211.03/211.23 % sat_guarded_non_collapsed_types: 0
% 211.03/211.23 % is_epr: 0
% 211.03/211.23 % is_horn: 0
% 211.03/211.23 % has_eq: 1
% 211.03/211.23 % num_pure_diseq_elim: 0
% 211.03/211.23 % simp_replaced_by: 0
% 211.03/211.23 % res_preprocessed: 10
% 211.03/211.23 % prep_upred: 0
% 211.03/211.23 % prep_unflattend: 0
% 211.03/211.23 % pred_elim_cands: 0
% 211.03/211.23 % pred_elim: 0
% 211.03/211.23 % pred_elim_cl: 0
% 211.03/211.23 % pred_elim_cycles: 0
% 211.03/211.23 % forced_gc_time: 0
% 211.03/211.23 % gc_basic_clause_elim: 0
% 211.03/211.23 % parsing_time: 0.011
% 211.03/211.23 % sem_filter_time: 0.
% 211.03/211.23 % pred_elim_time: 0.
% 211.03/211.23 % out_proof_time: 0.003
% 211.03/211.23 % monotx_time: 0.
% 211.03/211.23 % subtype_inf_time: 0.
% 211.03/211.23 % unif_index_cands_time: 0.119
% 211.03/211.23 % unif_index_add_time: 0.028
% 211.03/211.23 % total_time: 60.723
% 211.03/211.23 % num_of_symbols: 100
% 211.03/211.23 % num_of_terms: 691521
% 211.03/211.23
% 211.03/211.23 % ------ Propositional Solver
% 211.03/211.23
% 211.03/211.23 % prop_solver_calls: 12
% 211.03/211.23 % prop_fast_solver_calls: 15
% 211.03/211.23 % prop_num_of_clauses: 16896
% 211.03/211.23 % prop_preprocess_simplified: 17671
% 211.03/211.23 % prop_fo_subsumed: 0
% 211.03/211.23 % prop_solver_time: 0.005
% 211.03/211.23 % prop_fast_solver_time: 0.
% 211.03/211.23 % prop_unsat_core_time: 0.002
% 211.03/211.23
% 211.03/211.23 % ------ QBF
% 211.03/211.23
% 211.03/211.23 % qbf_q_res: 0
% 211.03/211.23 % qbf_num_tautologies: 0
% 211.03/211.23 % qbf_prep_cycles: 0
% 211.03/211.23
% 211.03/211.23 % ------ BMC1
% 211.03/211.23
% 211.03/211.23 % bmc1_current_bound: -1
% 211.03/211.23 % bmc1_last_solved_bound: -1
% 211.03/211.23 % bmc1_unsat_core_size: -1
% 211.03/211.23 % bmc1_unsat_core_parents_size: -1
% 211.03/211.23 % bmc1_merge_next_fun: 0
% 211.03/211.23 % bmc1_unsat_core_clauses_time: 0.
% 211.03/211.23
% 211.03/211.23 % ------ Instantiation
% 211.03/211.23
% 211.03/211.23 % inst_num_of_clauses: 9461
% 211.03/211.23 % inst_num_in_passive: 6678
% 211.03/211.23 % inst_num_in_active: 1122
% 211.03/211.23 % inst_num_in_unprocessed: 1649
% 211.03/211.23 % inst_num_of_loops: 1584
% 211.03/211.24 % inst_num_of_learning_restarts: 0
% 211.03/211.24 % inst_num_moves_active_passive: 458
% 211.03/211.24 % inst_lit_activity: 1098
% 211.03/211.24 % inst_lit_activity_moves: 2
% 211.03/211.24 % inst_num_tautologies: 1
% 211.03/211.24 % inst_num_prop_implied: 0
% 211.03/211.24 % inst_num_existing_simplified: 0
% 211.03/211.24 % inst_num_eq_res_simplified: 9
% 211.03/211.24 % inst_num_child_elim: 0
% 211.03/211.24 % inst_num_of_dismatching_blockings: 5512
% 211.03/211.24 % inst_num_of_non_proper_insts: 7792
% 211.03/211.24 % inst_num_of_duplicates: 4482
% 211.03/211.24 % inst_inst_num_from_inst_to_res: 0
% 211.03/211.24 % inst_dismatching_checking_time: 0.04
% 211.03/211.24
% 211.03/211.24 % ------ Resolution
% 211.03/211.24
% 211.03/211.24 % res_num_of_clauses: 273288
% 211.03/211.24 % res_num_in_passive: 266939
% 211.03/211.24 % res_num_in_active: 6031
% 211.03/211.24 % res_num_of_loops: 6000
% 211.03/211.24 % res_forward_subset_subsumed: 2788
% 211.03/211.24 % res_backward_subset_subsumed: 0
% 211.03/211.24 % res_forward_subsumed: 165
% 211.03/211.24 % res_backward_subsumed: 0
% 211.03/211.24 % res_forward_subsumption_resolution: 550
% 211.03/211.24 % res_backward_subsumption_resolution: 0
% 211.03/211.24 % res_clause_to_clause_subsumption: 282010
% 211.03/211.24 % res_orphan_elimination: 0
% 211.03/211.24 % res_tautology_del: 874
% 211.03/211.24 % res_num_eq_res_simplified: 0
% 211.03/211.24 % res_num_sel_changes: 0
% 211.03/211.24 % res_moves_from_active_to_pass: 0
% 211.03/211.24
% 211.03/211.24 % Status Unsatisfiable
% 211.03/211.24 % SZS status Theorem
% 211.03/211.24 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------