TSTP Solution File: SET669+3 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET669+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:15:14 EDT 2022
% Result : Theorem 71.59s 71.83s
% Output : CNFRefutation 71.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 50
% Syntax : Number of formulae : 507 ( 29 unt; 0 def)
% Number of atoms : 2135 ( 98 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 2952 (1324 ~;1402 |; 58 &)
% ( 20 <=>; 148 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 10 con; 0-3 aty)
% Number of variables : 1029 ( 5 sgn 203 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ( member(ordered_pair(X3,X4),X1)
=> member(ordered_pair(X3,X4),X2) ) ) ) ) ) ),
file('<stdin>',p8) ).
fof(c_0_1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ( subset(identity_relation_of(X3),X4)
=> ( subset(X3,domain(X1,X2,X4))
& subset(X3,range(X1,X2,X4)) ) ) ) ) ) ),
file('<stdin>',p2) ).
fof(c_0_2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(range(X1,X2,X3),subset_type(X2)) ) ) ),
file('<stdin>',p31) ).
fof(c_0_3,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(domain(X1,X2,X3),subset_type(X1)) ) ) ),
file('<stdin>',p29) ).
fof(c_0_4,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
file('<stdin>',p5) ).
fof(c_0_5,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> range(X1,X2,X3) = range_of(X3) ) ) ),
file('<stdin>',p30) ).
fof(c_0_6,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> domain(X1,X2,X3) = domain_of(X3) ) ) ),
file('<stdin>',p28) ).
fof(c_0_7,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> relation_like(X3) ) ) ),
file('<stdin>',p25) ).
fof(c_0_8,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X2,X3),identity_relation_of(X1))
<=> ( member(X2,X1)
& X2 = X3 ) ) ) ) ),
file('<stdin>',p3) ).
fof(c_0_9,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( relation_like(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X1)
=> ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( ilf_type(X4,set_type)
& X2 = ordered_pair(X3,X4) ) ) ) ) ) ),
file('<stdin>',p24) ).
fof(c_0_10,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X1,power_set(X2))
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('<stdin>',p20) ).
fof(c_0_11,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('<stdin>',p7) ).
fof(c_0_12,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,subset_type(X1))
<=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
file('<stdin>',p16) ).
fof(c_0_13,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ? [X3] : ilf_type(X3,relation_type(X2,X1)) ) ),
file('<stdin>',p6) ).
fof(c_0_14,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
file('<stdin>',p22) ).
fof(c_0_15,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ) ) ),
file('<stdin>',p9) ).
fof(c_0_16,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X2,X1) )
=> X1 = X2 ) ) ),
file('<stdin>',p1) ).
fof(c_0_17,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ilf_type(ordered_pair(X1,X2),set_type) ) ),
file('<stdin>',p13) ).
fof(c_0_18,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ilf_type(cross_product(X1,X2),set_type) ) ),
file('<stdin>',p11) ).
fof(c_0_19,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('<stdin>',p26) ).
fof(c_0_20,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( relation_like(X1)
& ilf_type(X1,set_type) ) ) ),
file('<stdin>',p14) ).
fof(c_0_21,axiom,
! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ? [X2] : ilf_type(X2,member_type(X1)) ),
file('<stdin>',p23) ).
fof(c_0_22,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ? [X2] : ilf_type(X2,subset_type(X1)) ),
file('<stdin>',p17) ).
fof(c_0_23,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
file('<stdin>',p21) ).
fof(c_0_24,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(range_of(X1),set_type) ),
file('<stdin>',p12) ).
fof(c_0_25,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(domain_of(X1),set_type) ),
file('<stdin>',p10) ).
fof(c_0_26,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(identity_relation_of(X1),binary_relation_type) ),
file('<stdin>',p4) ).
fof(c_0_27,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> subset(X1,X1) ),
file('<stdin>',p19) ).
fof(c_0_28,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> subset(X1,X1) ),
file('<stdin>',p18) ).
fof(c_0_29,axiom,
! [X1] :
( ( empty(X1)
& ilf_type(X1,set_type) )
=> relation_like(X1) ),
file('<stdin>',p27) ).
fof(c_0_30,axiom,
! [X1] : ilf_type(X1,set_type),
file('<stdin>',p32) ).
fof(c_0_31,axiom,
? [X1] : ilf_type(X1,binary_relation_type),
file('<stdin>',p15) ).
fof(c_0_32,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ( member(ordered_pair(X3,X4),X1)
=> member(ordered_pair(X3,X4),X2) ) ) ) ) ) ),
c_0_0 ).
fof(c_0_33,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ( subset(identity_relation_of(X3),X4)
=> ( subset(X3,domain(X1,X2,X4))
& subset(X3,range(X1,X2,X4)) ) ) ) ) ) ),
c_0_1 ).
fof(c_0_34,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(range(X1,X2,X3),subset_type(X2)) ) ) ),
c_0_2 ).
fof(c_0_35,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(domain(X1,X2,X3),subset_type(X1)) ) ) ),
c_0_3 ).
fof(c_0_36,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
c_0_4 ).
fof(c_0_37,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> range(X1,X2,X3) = range_of(X3) ) ) ),
c_0_5 ).
fof(c_0_38,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> domain(X1,X2,X3) = domain_of(X3) ) ) ),
c_0_6 ).
fof(c_0_39,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> relation_like(X3) ) ) ),
c_0_7 ).
fof(c_0_40,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X2,X3),identity_relation_of(X1))
<=> ( member(X2,X1)
& X2 = X3 ) ) ) ) ),
c_0_8 ).
fof(c_0_41,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( relation_like(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X1)
=> ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( ilf_type(X4,set_type)
& X2 = ordered_pair(X3,X4) ) ) ) ) ) ),
c_0_9 ).
fof(c_0_42,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X1,power_set(X2))
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
c_0_10 ).
fof(c_0_43,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
c_0_11 ).
fof(c_0_44,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,subset_type(X1))
<=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
c_0_12 ).
fof(c_0_45,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ? [X3] : ilf_type(X3,relation_type(X2,X1)) ) ),
c_0_13 ).
fof(c_0_46,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_47,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ) ) ),
c_0_15 ).
fof(c_0_48,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X2,X1) )
=> X1 = X2 ) ) ),
c_0_16 ).
fof(c_0_49,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ilf_type(ordered_pair(X1,X2),set_type) ) ),
c_0_17 ).
fof(c_0_50,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ilf_type(cross_product(X1,X2),set_type) ) ),
c_0_18 ).
fof(c_0_51,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_52,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( relation_like(X1)
& ilf_type(X1,set_type) ) ) ),
c_0_20 ).
fof(c_0_53,plain,
! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ? [X2] : ilf_type(X2,member_type(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_54,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ? [X2] : ilf_type(X2,subset_type(X1)) ),
c_0_22 ).
fof(c_0_55,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_56,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(range_of(X1),set_type) ),
c_0_24 ).
fof(c_0_57,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(domain_of(X1),set_type) ),
c_0_25 ).
fof(c_0_58,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(identity_relation_of(X1),binary_relation_type) ),
c_0_26 ).
fof(c_0_59,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> subset(X1,X1) ),
c_0_27 ).
fof(c_0_60,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> subset(X1,X1) ),
c_0_28 ).
fof(c_0_61,axiom,
! [X1] :
( ( empty(X1)
& ilf_type(X1,set_type) )
=> relation_like(X1) ),
c_0_29 ).
fof(c_0_62,axiom,
! [X1] : ilf_type(X1,set_type),
c_0_30 ).
fof(c_0_63,axiom,
? [X1] : ilf_type(X1,binary_relation_type),
c_0_31 ).
fof(c_0_64,plain,
! [X5,X6,X7,X8] :
( ( ~ subset(X5,X6)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X8,set_type)
| ~ member(ordered_pair(X7,X8),X5)
| member(ordered_pair(X7,X8),X6)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( ilf_type(esk3_2(X5,X6),set_type)
| subset(X5,X6)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( ilf_type(esk4_2(X5,X6),set_type)
| subset(X5,X6)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( member(ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6)),X5)
| subset(X5,X6)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) )
& ( ~ member(ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| subset(X5,X6)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,binary_relation_type) ) ),
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_32])])])])]) ).
fof(c_0_65,plain,
! [X5,X6,X7,X8] :
( ( subset(X7,domain(X5,X6,X8))
| ~ subset(identity_relation_of(X7),X8)
| ~ ilf_type(X8,relation_type(X5,X6))
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( subset(X7,range(X5,X6,X8))
| ~ subset(identity_relation_of(X7),X8)
| ~ ilf_type(X8,relation_type(X5,X6))
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_66,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,relation_type(X4,X5))
| ilf_type(range(X4,X5,X6),subset_type(X5)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_67,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,relation_type(X4,X5))
| ilf_type(domain(X4,X5,X6),subset_type(X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_68,plain,
! [X5,X6,X7,X8] :
( ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6)))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_69,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,relation_type(X4,X5))
| range(X4,X5,X6) = range_of(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_70,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,relation_type(X4,X5))
| domain(X4,X5,X6) = domain_of(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_71,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
| relation_like(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_72,plain,
! [X4,X5,X6] :
( ( member(X5,X4)
| ~ member(ordered_pair(X5,X6),identity_relation_of(X4))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( X5 = X6
| ~ member(ordered_pair(X5,X6),identity_relation_of(X4))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(X5,X4)
| X5 != X6
| member(ordered_pair(X5,X6),identity_relation_of(X4))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
fof(c_0_73,plain,
! [X5,X6,X10,X11] :
( ( ilf_type(esk9_2(X5,X6),set_type)
| ~ member(X6,X5)
| ~ ilf_type(X6,set_type)
| ~ relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( ilf_type(esk10_2(X5,X6),set_type)
| ~ member(X6,X5)
| ~ ilf_type(X6,set_type)
| ~ relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( X6 = ordered_pair(esk9_2(X5,X6),esk10_2(X5,X6))
| ~ member(X6,X5)
| ~ ilf_type(X6,set_type)
| ~ relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( ilf_type(esk11_1(X5),set_type)
| relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( member(esk11_1(X5),X5)
| relation_like(X5)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X10,set_type)
| ~ ilf_type(X11,set_type)
| esk11_1(X5) != ordered_pair(X10,X11)
| relation_like(X5)
| ~ ilf_type(X5,set_type) ) ),
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_41])])])])]) ).
fof(c_0_74,plain,
! [X4,X5,X6] :
( ( ~ member(X4,power_set(X5))
| ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ilf_type(esk7_2(X4,X5),set_type)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk7_2(X4,X5),X4)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk7_2(X4,X5),X5)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
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_42])])])])]) ).
fof(c_0_75,plain,
! [X4,X5,X6] :
( ( ~ subset(X4,X5)
| ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ilf_type(esk2_2(X4,X5),set_type)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk2_2(X4,X5),X4)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk2_2(X4,X5),X5)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
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_43])])])])]) ).
fof(c_0_76,plain,
! [X3,X4] :
( ( ~ ilf_type(X4,subset_type(X3))
| ilf_type(X4,member_type(power_set(X3)))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ ilf_type(X4,member_type(power_set(X3)))
| ilf_type(X4,subset_type(X3))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
fof(c_0_77,plain,
! [X4,X5] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ilf_type(esk1_2(X4,X5),relation_type(X5,X4)) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
fof(c_0_78,plain,
! [X3,X4] :
( ( ~ ilf_type(X3,member_type(X4))
| member(X3,X4)
| empty(X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ member(X3,X4)
| ilf_type(X3,member_type(X4))
| empty(X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
fof(c_0_79,plain,
! [X3,X4] :
( ( subset(X3,X4)
| X3 != X4
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( subset(X4,X3)
| X3 != X4
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).
fof(c_0_80,plain,
! [X3,X4] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
fof(c_0_81,plain,
! [X3,X4] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ilf_type(ordered_pair(X3,X4),set_type) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
fof(c_0_82,plain,
! [X3,X4] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ilf_type(cross_product(X3,X4),set_type) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])]) ).
fof(c_0_83,plain,
! [X3,X4] :
( ( ~ empty(X3)
| ~ ilf_type(X4,set_type)
| ~ member(X4,X3)
| ~ ilf_type(X3,set_type) )
& ( ilf_type(esk12_1(X3),set_type)
| empty(X3)
| ~ ilf_type(X3,set_type) )
& ( member(esk12_1(X3),X3)
| empty(X3)
| ~ ilf_type(X3,set_type) ) ),
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_51])])])])]) ).
fof(c_0_84,plain,
! [X2] :
( ( relation_like(X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ilf_type(X2,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ~ relation_like(X2)
| ~ ilf_type(X2,set_type)
| ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
fof(c_0_85,plain,
! [X3] :
( empty(X3)
| ~ ilf_type(X3,set_type)
| ilf_type(esk8_1(X3),member_type(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_86,plain,
! [X3] :
( ~ ilf_type(X3,set_type)
| ilf_type(esk6_1(X3),subset_type(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_87,plain,
! [X2] :
( ( ~ empty(power_set(X2))
| ~ ilf_type(X2,set_type) )
& ( ilf_type(power_set(X2),set_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_88,plain,
! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ilf_type(range_of(X2),set_type) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
fof(c_0_89,plain,
! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ilf_type(domain_of(X2),set_type) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).
fof(c_0_90,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| ilf_type(identity_relation_of(X2),binary_relation_type) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])]) ).
fof(c_0_91,plain,
! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| subset(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
fof(c_0_92,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| subset(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).
fof(c_0_93,plain,
! [X2] :
( ~ empty(X2)
| ~ ilf_type(X2,set_type)
| relation_like(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_94,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_95,plain,
ilf_type(esk5_0,binary_relation_type),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_63])]) ).
cnf(c_0_96,plain,
( subset(X1,X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_97,plain,
( subset(X3,domain(X1,X2,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_98,plain,
( subset(X3,range(X1,X2,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_99,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_101,plain,
( member(ordered_pair(X3,X4),X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_102,plain,
( subset(X1,X2)
| member(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_103,plain,
( ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_104,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_105,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_106,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_107,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_108,plain,
( member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_109,plain,
( X2 = ordered_pair(esk9_2(X1,X2),esk10_2(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_110,plain,
( X2 = X3
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_111,plain,
( member(ordered_pair(X2,X3),identity_relation_of(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| X2 != X3
| ~ member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_112,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_113,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_114,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_115,plain,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_116,plain,
( ilf_type(X2,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_117,plain,
( ilf_type(esk9_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_118,plain,
( ilf_type(esk10_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_119,plain,
( ilf_type(esk1_2(X1,X2),relation_type(X2,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_120,plain,
( ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,subset_type(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_121,plain,
( member(X1,power_set(X2))
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_122,plain,
( member(X1,power_set(X2))
| ilf_type(esk7_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_123,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_124,plain,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| esk11_1(X1) != ordered_pair(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_125,plain,
( subset(X1,X2)
| ilf_type(esk3_2(X1,X2),set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_126,plain,
( subset(X1,X2)
| ilf_type(esk4_2(X1,X2),set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_127,plain,
( subset(X1,X2)
| ilf_type(esk2_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_128,plain,
( empty(X2)
| member(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_129,plain,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_130,plain,
( X1 = X2
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_131,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_132,plain,
( ilf_type(ordered_pair(X1,X2),set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_133,plain,
( ilf_type(cross_product(X1,X2),set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_134,plain,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_135,plain,
( ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_136,plain,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_137,plain,
( subset(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_138,plain,
( ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_139,plain,
( ilf_type(esk8_1(X1),member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_140,plain,
( ilf_type(esk6_1(X1),subset_type(X1))
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_141,plain,
( empty(X1)
| member(esk12_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_142,plain,
( relation_like(X1)
| member(esk11_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_143,plain,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_144,plain,
( empty(X1)
| ilf_type(esk12_1(X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_145,plain,
( relation_like(X1)
| ilf_type(esk11_1(X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_146,plain,
( ilf_type(power_set(X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_147,plain,
( ilf_type(range_of(X1),set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_148,plain,
( ilf_type(domain_of(X1),set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_149,plain,
( ilf_type(identity_relation_of(X1),binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_150,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_151,plain,
( subset(X1,X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_152,plain,
( subset(X1,X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_153,plain,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_154,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_155,plain,
ilf_type(esk5_0,binary_relation_type),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_156,plain,
( subset(X1,X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X2) ),
c_0_96,
[final] ).
cnf(c_0_157,plain,
( subset(X3,domain(X1,X2,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
c_0_97,
[final] ).
cnf(c_0_158,plain,
( subset(X3,range(X1,X2,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
c_0_98,
[final] ).
cnf(c_0_159,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
c_0_99,
[final] ).
cnf(c_0_160,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
c_0_100,
[final] ).
cnf(c_0_161,plain,
( member(ordered_pair(X3,X4),X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
c_0_101,
[final] ).
cnf(c_0_162,plain,
( subset(X1,X2)
| member(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
c_0_102,
[final] ).
cnf(c_0_163,plain,
( ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
c_0_103,
[final] ).
cnf(c_0_164,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
c_0_104,
[final] ).
cnf(c_0_165,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
c_0_105,
[final] ).
cnf(c_0_166,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
c_0_106,
[final] ).
cnf(c_0_167,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
c_0_107,
[final] ).
cnf(c_0_168,plain,
( member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
c_0_108,
[final] ).
cnf(c_0_169,plain,
( ordered_pair(esk9_2(X1,X2),esk10_2(X1,X2)) = X2
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
c_0_109,
[final] ).
cnf(c_0_170,plain,
( X2 = X3
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
c_0_110,
[final] ).
cnf(c_0_171,plain,
( member(ordered_pair(X2,X3),identity_relation_of(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| X2 != X3
| ~ member(X2,X1) ),
c_0_111,
[final] ).
cnf(c_0_172,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X1,power_set(X2)) ),
c_0_112,
[final] ).
cnf(c_0_173,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk7_2(X1,X2),X2) ),
c_0_113,
[final] ).
cnf(c_0_174,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
c_0_114,
[final] ).
cnf(c_0_175,plain,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk2_2(X1,X2),X2) ),
c_0_115,
[final] ).
cnf(c_0_176,plain,
( ilf_type(X2,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(power_set(X1))) ),
c_0_116,
[final] ).
cnf(c_0_177,plain,
( ilf_type(esk9_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
c_0_117,
[final] ).
cnf(c_0_178,plain,
( ilf_type(esk10_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
c_0_118,
[final] ).
cnf(c_0_179,plain,
( ilf_type(esk1_2(X1,X2),relation_type(X2,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
c_0_119,
[final] ).
cnf(c_0_180,plain,
( ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,subset_type(X1)) ),
c_0_120,
[final] ).
cnf(c_0_181,plain,
( member(X1,power_set(X2))
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
c_0_121,
[final] ).
cnf(c_0_182,plain,
( member(X1,power_set(X2))
| ilf_type(esk7_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
c_0_122,
[final] ).
cnf(c_0_183,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
c_0_123,
[final] ).
cnf(c_0_184,plain,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| esk11_1(X1) != ordered_pair(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
c_0_124,
[final] ).
cnf(c_0_185,plain,
( subset(X1,X2)
| ilf_type(esk3_2(X1,X2),set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
c_0_125,
[final] ).
cnf(c_0_186,plain,
( subset(X1,X2)
| ilf_type(esk4_2(X1,X2),set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
c_0_126,
[final] ).
cnf(c_0_187,plain,
( subset(X1,X2)
| ilf_type(esk2_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
c_0_127,
[final] ).
cnf(c_0_188,plain,
( empty(X2)
| member(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
c_0_128,
[final] ).
cnf(c_0_189,plain,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2) ),
c_0_129,
[final] ).
cnf(c_0_190,plain,
( X1 = X2
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
c_0_130,
[final] ).
cnf(c_0_191,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
c_0_131,
[final] ).
cnf(c_0_192,plain,
( ilf_type(ordered_pair(X1,X2),set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
c_0_132,
[final] ).
cnf(c_0_193,plain,
( ilf_type(cross_product(X1,X2),set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
c_0_133,
[final] ).
cnf(c_0_194,plain,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
c_0_134,
[final] ).
cnf(c_0_195,plain,
( ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
c_0_135,
[final] ).
cnf(c_0_196,plain,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| X1 != X2 ),
c_0_136,
[final] ).
cnf(c_0_197,plain,
( subset(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| X1 != X2 ),
c_0_137,
[final] ).
cnf(c_0_198,plain,
( ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
c_0_138,
[final] ).
cnf(c_0_199,plain,
( ilf_type(esk8_1(X1),member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type) ),
c_0_139,
[final] ).
cnf(c_0_200,plain,
( ilf_type(esk6_1(X1),subset_type(X1))
| ~ ilf_type(X1,set_type) ),
c_0_140,
[final] ).
cnf(c_0_201,plain,
( empty(X1)
| member(esk12_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
c_0_141,
[final] ).
cnf(c_0_202,plain,
( relation_like(X1)
| member(esk11_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
c_0_142,
[final] ).
cnf(c_0_203,plain,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
c_0_143,
[final] ).
cnf(c_0_204,plain,
( empty(X1)
| ilf_type(esk12_1(X1),set_type)
| ~ ilf_type(X1,set_type) ),
c_0_144,
[final] ).
cnf(c_0_205,plain,
( relation_like(X1)
| ilf_type(esk11_1(X1),set_type)
| ~ ilf_type(X1,set_type) ),
c_0_145,
[final] ).
cnf(c_0_206,plain,
( ilf_type(power_set(X1),set_type)
| ~ ilf_type(X1,set_type) ),
c_0_146,
[final] ).
cnf(c_0_207,plain,
( ilf_type(range_of(X1),set_type)
| ~ ilf_type(X1,binary_relation_type) ),
c_0_147,
[final] ).
cnf(c_0_208,plain,
( ilf_type(domain_of(X1),set_type)
| ~ ilf_type(X1,binary_relation_type) ),
c_0_148,
[final] ).
cnf(c_0_209,plain,
( ilf_type(identity_relation_of(X1),binary_relation_type)
| ~ ilf_type(X1,set_type) ),
c_0_149,
[final] ).
cnf(c_0_210,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
c_0_150,
[final] ).
cnf(c_0_211,plain,
( subset(X1,X1)
| ~ ilf_type(X1,binary_relation_type) ),
c_0_151,
[final] ).
cnf(c_0_212,plain,
( subset(X1,X1)
| ~ ilf_type(X1,set_type) ),
c_0_152,
[final] ).
cnf(c_0_213,plain,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ empty(X1) ),
c_0_153,
[final] ).
cnf(c_0_214,plain,
ilf_type(X1,set_type),
c_0_154,
[final] ).
cnf(c_0_215,plain,
ilf_type(esk5_0,binary_relation_type),
c_0_155,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_156_0,axiom,
( subset(X1,X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_1,axiom,
( ~ ilf_type(X1,binary_relation_type)
| subset(X1,X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_2,axiom,
( ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| subset(X1,X2)
| ~ member(ordered_pair(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_3,axiom,
( ~ member(ordered_pair(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_157_0,axiom,
( subset(X3,domain(X1,X2,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_1,axiom,
( ~ ilf_type(X1,set_type)
| subset(X3,domain(X1,X2,X4))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X3,domain(X1,X2,X4))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_3,axiom,
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X3,domain(X1,X2,X4))
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_4,axiom,
( ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X3,domain(X1,X2,X4))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_5,axiom,
( ~ subset(identity_relation_of(X3),X4)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X3,domain(X1,X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_0,axiom,
( subset(X3,range(X1,X2,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_1,axiom,
( ~ ilf_type(X1,set_type)
| subset(X3,range(X1,X2,X4))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X3,range(X1,X2,X4))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_3,axiom,
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X3,range(X1,X2,X4))
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_4,axiom,
( ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X3,range(X1,X2,X4))
| ~ subset(identity_relation_of(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_5,axiom,
( ~ subset(identity_relation_of(X3),X4)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X3,range(X1,X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_0,axiom,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_1,axiom,
( ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_3,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(range(X1,X2,X3),subset_type(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_1,axiom,
( ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_3,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(domain(X1,X2,X3),subset_type(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( member(ordered_pair(X3,X4),X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_1,axiom,
( ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X3,X4),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_2,axiom,
( ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X3,X4),X2)
| ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_3,axiom,
( ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X3,X4),X2)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_4,axiom,
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X3,X4),X2)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_5,axiom,
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X3,X4),X2)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_6,axiom,
( ~ subset(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X3,X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
( subset(X1,X2)
| member(ordered_pair(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_1,axiom,
( member(ordered_pair(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)),X1)
| subset(X1,X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_2,axiom,
( ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)),X1)
| subset(X1,X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_3,axiom,
( ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)),X1)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
( ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_3,axiom,
( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X3,relation_type(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_3,axiom,
( ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( ~ ilf_type(X3,relation_type(X1,X2))
| range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_3,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| range(X1,X2,X3) = range_of(X3) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_0,axiom,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_1,axiom,
( ~ ilf_type(X3,relation_type(X1,X2))
| domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_3,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| domain(X1,X2,X3) = domain_of(X3) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_0,axiom,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| relation_like(X1)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_2,axiom,
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| relation_like(X1)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_168_0,axiom,
( member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_1,axiom,
( ~ ilf_type(X1,set_type)
| member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X2,X1)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_3,axiom,
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X2,X1)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_4,axiom,
( ~ member(ordered_pair(X2,X3),identity_relation_of(X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_0,axiom,
( ordered_pair(sk1_esk9_2(X1,X2),sk1_esk10_2(X1,X2)) = X2
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_1,axiom,
( ~ ilf_type(X1,set_type)
| ordered_pair(sk1_esk9_2(X1,X2),sk1_esk10_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_2,axiom,
( ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ordered_pair(sk1_esk9_2(X1,X2),sk1_esk10_2(X1,X2)) = X2
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ordered_pair(sk1_esk9_2(X1,X2),sk1_esk10_2(X1,X2)) = X2
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_4,axiom,
( ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ordered_pair(sk1_esk9_2(X1,X2),sk1_esk10_2(X1,X2)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
( X2 = X3
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_1,axiom,
( ~ ilf_type(X1,set_type)
| X2 = X3
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| X2 = X3
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_3,axiom,
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| X2 = X3
| ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_4,axiom,
( ~ member(ordered_pair(X2,X3),identity_relation_of(X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_171_0,axiom,
( member(ordered_pair(X2,X3),identity_relation_of(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| X2 != X3
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_1,axiom,
( ~ ilf_type(X1,set_type)
| member(ordered_pair(X2,X3),identity_relation_of(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| X2 != X3
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(ordered_pair(X2,X3),identity_relation_of(X1))
| ~ ilf_type(X3,set_type)
| X2 != X3
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_3,axiom,
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(ordered_pair(X2,X3),identity_relation_of(X1))
| X2 != X3
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_4,axiom,
( X2 != X3
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(ordered_pair(X2,X3),identity_relation_of(X1))
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_5,axiom,
( ~ member(X2,X1)
| X2 != X3
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_172_0,axiom,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( ~ ilf_type(X1,set_type)
| member(X3,X2)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X2)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_3,axiom,
( ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X2)
| ~ ilf_type(X3,set_type)
| ~ member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_4,axiom,
( ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X2)
| ~ member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_5,axiom,
( ~ member(X1,power_set(X2))
| ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_173_0,axiom,
( member(X1,power_set(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(sk1_esk7_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( ~ ilf_type(X1,set_type)
| member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ member(sk1_esk7_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X1,power_set(X2))
| ~ member(sk1_esk7_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_3,axiom,
( ~ member(sk1_esk7_2(X1,X2),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_0,axiom,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( ~ ilf_type(X1,set_type)
| member(X3,X2)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X2)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_3,axiom,
( ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X2)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_4,axiom,
( ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X2)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_5,axiom,
( ~ subset(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_175_0,axiom,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(sk1_esk2_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_1,axiom,
( ~ ilf_type(X1,set_type)
| subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ member(sk1_esk2_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X1,X2)
| ~ member(sk1_esk2_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_3,axiom,
( ~ member(sk1_esk2_2(X1,X2),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_176_0,axiom,
( ilf_type(X2,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(X2,subset_type(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X2,subset_type(X1))
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_3,axiom,
( ~ ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X2,subset_type(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_177_0,axiom,
( ilf_type(sk1_esk9_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk9_2(X1,X2),set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_2,axiom,
( ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk9_2(X1,X2),set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk9_2(X1,X2),set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_4,axiom,
( ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk9_2(X1,X2),set_type) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_178_0,axiom,
( ilf_type(sk1_esk10_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk10_2(X1,X2),set_type)
| ~ relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_2,axiom,
( ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk10_2(X1,X2),set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk10_2(X1,X2),set_type)
| ~ member(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_4,axiom,
( ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk10_2(X1,X2),set_type) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_179_0,axiom,
( ilf_type(sk1_esk1_2(X1,X2),relation_type(X2,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_1,axiom,
( ~ ilf_type(X2,set_type)
| ilf_type(sk1_esk1_2(X1,X2),relation_type(X2,X1))
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_2,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(sk1_esk1_2(X1,X2),relation_type(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_180_0,axiom,
( ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,subset_type(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,subset_type(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X2,subset_type(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_3,axiom,
( ~ ilf_type(X2,subset_type(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X2,member_type(power_set(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_181_0,axiom,
( member(X1,power_set(X2))
| member(sk1_esk7_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_1,axiom,
( member(sk1_esk7_2(X1,X2),X1)
| member(X1,power_set(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_2,axiom,
( ~ ilf_type(X1,set_type)
| member(sk1_esk7_2(X1,X2),X1)
| member(X1,power_set(X2))
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(sk1_esk7_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_182_0,axiom,
( member(X1,power_set(X2))
| ilf_type(sk1_esk7_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_1,axiom,
( ilf_type(sk1_esk7_2(X1,X2),set_type)
| member(X1,power_set(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_2,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk7_2(X1,X2),set_type)
| member(X1,power_set(X2))
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk7_2(X1,X2),set_type)
| member(X1,power_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_183_0,axiom,
( subset(X1,X2)
| member(sk1_esk2_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_1,axiom,
( member(sk1_esk2_2(X1,X2),X1)
| subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_2,axiom,
( ~ ilf_type(X1,set_type)
| member(sk1_esk2_2(X1,X2),X1)
| subset(X1,X2)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(sk1_esk2_2(X1,X2),X1)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_184_0,axiom,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| sk1_esk11_1(X1) != ordered_pair(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_1,axiom,
( ~ ilf_type(X1,set_type)
| relation_like(X1)
| sk1_esk11_1(X1) != ordered_pair(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_2,axiom,
( sk1_esk11_1(X1) != ordered_pair(X2,X3)
| ~ ilf_type(X1,set_type)
| relation_like(X1)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_3,axiom,
( ~ ilf_type(X3,set_type)
| sk1_esk11_1(X1) != ordered_pair(X2,X3)
| ~ ilf_type(X1,set_type)
| relation_like(X1)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_4,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| sk1_esk11_1(X1) != ordered_pair(X2,X3)
| ~ ilf_type(X1,set_type)
| relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_185_0,axiom,
( subset(X1,X2)
| ilf_type(sk1_esk3_2(X1,X2),set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_1,axiom,
( ilf_type(sk1_esk3_2(X1,X2),set_type)
| subset(X1,X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_2,axiom,
( ~ ilf_type(X1,binary_relation_type)
| ilf_type(sk1_esk3_2(X1,X2),set_type)
| subset(X1,X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_3,axiom,
( ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ilf_type(sk1_esk3_2(X1,X2),set_type)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_186_0,axiom,
( subset(X1,X2)
| ilf_type(sk1_esk4_2(X1,X2),set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_1,axiom,
( ilf_type(sk1_esk4_2(X1,X2),set_type)
| subset(X1,X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_2,axiom,
( ~ ilf_type(X1,binary_relation_type)
| ilf_type(sk1_esk4_2(X1,X2),set_type)
| subset(X1,X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_3,axiom,
( ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ilf_type(sk1_esk4_2(X1,X2),set_type)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_187_0,axiom,
( subset(X1,X2)
| ilf_type(sk1_esk2_2(X1,X2),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_1,axiom,
( ilf_type(sk1_esk2_2(X1,X2),set_type)
| subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_2,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk2_2(X1,X2),set_type)
| subset(X1,X2)
| ~ ilf_type(X2,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk2_2(X1,X2),set_type)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_188_0,axiom,
( empty(X2)
| member(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_1,axiom,
( member(X1,X2)
| empty(X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_2,axiom,
( ~ ilf_type(X1,set_type)
| member(X1,X2)
| empty(X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X1,X2)
| empty(X2)
| ~ ilf_type(X1,member_type(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_4,axiom,
( ~ ilf_type(X1,member_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| member(X1,X2)
| empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_189_0,axiom,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_1,axiom,
( ilf_type(X1,member_type(X2))
| empty(X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_2,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(X1,member_type(X2))
| empty(X2)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,member_type(X2))
| empty(X2)
| ~ member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_4,axiom,
( ~ member(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,member_type(X2))
| empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_190_0,axiom,
( X1 = X2
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_1,axiom,
( ~ ilf_type(X1,set_type)
| X1 = X2
| ~ ilf_type(X2,set_type)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_3,axiom,
( ~ subset(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| X1 = X2
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_4,axiom,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_191_0,axiom,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_1,axiom,
( ~ subset(X2,X1)
| X1 = X2
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_2,axiom,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_3,axiom,
( ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_4,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_192_0,axiom,
( ilf_type(ordered_pair(X1,X2),set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_192_1,axiom,
( ~ ilf_type(X2,set_type)
| ilf_type(ordered_pair(X1,X2),set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_192_2,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(ordered_pair(X1,X2),set_type) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_193_0,axiom,
( ilf_type(cross_product(X1,X2),set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_1,axiom,
( ~ ilf_type(X2,set_type)
| ilf_type(cross_product(X1,X2),set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_2,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(cross_product(X1,X2),set_type) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_194_0,axiom,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_1,axiom,
( ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_3,axiom,
( ~ empty(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_195_0,axiom,
( ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_2,axiom,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_3,axiom,
( ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_196_0,axiom,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_1,axiom,
( ~ ilf_type(X1,set_type)
| subset(X1,X2)
| ~ ilf_type(X2,set_type)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_3,axiom,
( X1 != X2
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_197_0,axiom,
( subset(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_197_1,axiom,
( ~ ilf_type(X1,set_type)
| subset(X2,X1)
| ~ ilf_type(X2,set_type)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_197_2,axiom,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_197_3,axiom,
( X1 != X2
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_198_0,axiom,
( ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(X1,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_2,axiom,
( ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_199_0,axiom,
( ilf_type(sk1_esk8_1(X1),member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_199_1,axiom,
( empty(X1)
| ilf_type(sk1_esk8_1(X1),member_type(X1))
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_199_2,axiom,
( ~ ilf_type(X1,set_type)
| empty(X1)
| ilf_type(sk1_esk8_1(X1),member_type(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_200_0,axiom,
( ilf_type(sk1_esk6_1(X1),subset_type(X1))
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_200_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk6_1(X1),subset_type(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_201_0,axiom,
( empty(X1)
| member(sk1_esk12_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_1,axiom,
( member(sk1_esk12_1(X1),X1)
| empty(X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_2,axiom,
( ~ ilf_type(X1,set_type)
| member(sk1_esk12_1(X1),X1)
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_202_0,axiom,
( relation_like(X1)
| member(sk1_esk11_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_1,axiom,
( member(sk1_esk11_1(X1),X1)
| relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_2,axiom,
( ~ ilf_type(X1,set_type)
| member(sk1_esk11_1(X1),X1)
| relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_203_0,axiom,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_1,axiom,
( ~ ilf_type(X1,set_type)
| relation_like(X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_2,axiom,
( ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_204_0,axiom,
( empty(X1)
| ilf_type(sk1_esk12_1(X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_1,axiom,
( ilf_type(sk1_esk12_1(X1),set_type)
| empty(X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_2,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk12_1(X1),set_type)
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_205_0,axiom,
( relation_like(X1)
| ilf_type(sk1_esk11_1(X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_205_1,axiom,
( ilf_type(sk1_esk11_1(X1),set_type)
| relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_205_2,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(sk1_esk11_1(X1),set_type)
| relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_206_0,axiom,
( ilf_type(power_set(X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(power_set(X1),set_type) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_207_0,axiom,
( ilf_type(range_of(X1),set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_1,axiom,
( ~ ilf_type(X1,binary_relation_type)
| ilf_type(range_of(X1),set_type) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_208_0,axiom,
( ilf_type(domain_of(X1),set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_1,axiom,
( ~ ilf_type(X1,binary_relation_type)
| ilf_type(domain_of(X1),set_type) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_209_0,axiom,
( ilf_type(identity_relation_of(X1),binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_1,axiom,
( ~ ilf_type(X1,set_type)
| ilf_type(identity_relation_of(X1),binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_210_0,axiom,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_1,axiom,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_211_0,axiom,
( subset(X1,X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_211_1,axiom,
( ~ ilf_type(X1,binary_relation_type)
| subset(X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_212_0,axiom,
( subset(X1,X1)
| ~ ilf_type(X1,set_type) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_1,axiom,
( ~ ilf_type(X1,set_type)
| subset(X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_213_0,axiom,
( relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_1,axiom,
( ~ ilf_type(X1,set_type)
| relation_like(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_2,axiom,
( ~ empty(X1)
| ~ ilf_type(X1,set_type)
| relation_like(X1) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_214_0,axiom,
ilf_type(X1,set_type),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_215_0,axiom,
ilf_type(sk1_esk5_0,binary_relation_type),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X1,X2,X3))
& X2 = range(X1,X2,X3) ) ) ) ) ),
file('<stdin>',prove_relset_1_32) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X1,X2,X3))
& X2 = range(X1,X2,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,relation_type(esk1_0,esk2_0))
& subset(identity_relation_of(esk2_0),esk3_0)
& ( ~ subset(esk2_0,domain(esk1_0,esk2_0,esk3_0))
| esk2_0 != range(esk1_0,esk2_0,esk3_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,
( esk2_0 != range(esk1_0,esk2_0,esk3_0)
| ~ subset(esk2_0,domain(esk1_0,esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
ilf_type(esk3_0,relation_type(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
subset(identity_relation_of(esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
ilf_type(esk1_0,set_type),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_008,negated_conjecture,
ilf_type(esk2_0,set_type),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_009,negated_conjecture,
( range(esk1_0,esk2_0,esk3_0) != esk2_0
| ~ subset(esk2_0,domain(esk1_0,esk2_0,esk3_0)) ),
c_0_3,
[final] ).
cnf(c_0_9_010,negated_conjecture,
ilf_type(esk3_0,relation_type(esk1_0,esk2_0)),
c_0_4,
[final] ).
cnf(c_0_10_011,negated_conjecture,
subset(identity_relation_of(esk2_0),esk3_0),
c_0_5,
[final] ).
cnf(c_0_11_012,negated_conjecture,
ilf_type(esk1_0,set_type),
c_0_6,
[final] ).
cnf(c_0_12_013,negated_conjecture,
ilf_type(esk2_0,set_type),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_10,plain,
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_210_0) ).
cnf(c_471271,plain,
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(copy,[status(esa)],[c_10]) ).
cnf(c_697329,plain,
( ~ ilf_type(sk2_esk2_0,set_type)
| ~ empty(power_set(sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_471271]) ).
cnf(c_1,plain,
ilf_type(X0,set_type),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_214_0) ).
cnf(c_324,plain,
ilf_type(X0,set_type),
inference(copy,[status(esa)],[c_1]) ).
cnf(c_322607,plain,
ilf_type(power_set(sk2_esk2_0),set_type),
inference(instantiation,[status(thm)],[c_324]) ).
cnf(c_83,plain,
( ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(X0,X1)
| empty(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_188_0) ).
cnf(c_406,plain,
( ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(X0,X1)
| empty(X1) ),
inference(copy,[status(esa)],[c_83]) ).
cnf(c_65799,plain,
( ~ ilf_type(power_set(X0),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X0)))
| empty(power_set(X0))
| member(X1,power_set(X0)) ),
inference(instantiation,[status(thm)],[c_406]) ).
cnf(c_101996,plain,
( ~ ilf_type(power_set(X0),set_type)
| ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),member_type(power_set(X0)))
| empty(power_set(X0))
| member(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),power_set(X0)) ),
inference(instantiation,[status(thm)],[c_65799]) ).
cnf(c_205882,plain,
( ~ ilf_type(power_set(sk2_esk2_0),set_type)
| ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),member_type(power_set(sk2_esk2_0)))
| empty(power_set(sk2_esk2_0))
| member(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),power_set(sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_101996]) ).
cnf(c_153,plain,
( ~ member(X0,power_set(X1))
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_172_0) ).
cnf(c_476,plain,
( ~ member(X0,power_set(X1))
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(X2,X1) ),
inference(copy,[status(esa)],[c_153]) ).
cnf(c_100942,plain,
( ~ ilf_type(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),set_type)
| ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0))
| member(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),X0)
| ~ member(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),power_set(X0)) ),
inference(instantiation,[status(thm)],[c_476]) ).
cnf(c_149130,plain,
( ~ ilf_type(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),set_type)
| ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(sk2_esk2_0,set_type)
| ~ member(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0))
| member(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),sk2_esk2_0)
| ~ member(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),power_set(sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_100942]) ).
cnf(c_137,plain,
( ~ member(sk1_esk2_2(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| subset(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_175_0) ).
cnf(c_460,plain,
( ~ member(sk1_esk2_2(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| subset(X0,X1) ),
inference(copy,[status(esa)],[c_137]) ).
cnf(c_66635,plain,
( ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(sk2_esk2_0,set_type)
| subset(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0)
| ~ member(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_460]) ).
cnf(c_101,plain,
( subset(X0,X1)
| member(sk1_esk2_2(X0,X1),X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_183_3) ).
cnf(c_424,plain,
( subset(X0,X1)
| member(sk1_esk2_2(X0,X1),X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(copy,[status(esa)],[c_101]) ).
cnf(c_66639,plain,
( ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(sk2_esk2_0,set_type)
| subset(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0)
| member(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0)) ),
inference(instantiation,[status(thm)],[c_424]) ).
cnf(c_84,plain,
( subset(X0,X1)
| ilf_type(sk1_esk2_2(X0,X1),set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_187_3) ).
cnf(c_407,plain,
( subset(X0,X1)
| ilf_type(sk1_esk2_2(X0,X1),set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(copy,[status(esa)],[c_84]) ).
cnf(c_66642,plain,
( ilf_type(sk1_esk2_2(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0),set_type)
| ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(sk2_esk2_0,set_type)
| subset(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_407]) ).
cnf(c_65805,plain,
ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type),
inference(instantiation,[status(thm)],[c_324]) ).
cnf(c_220,plain,
( subset(X0,domain(X1,X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(identity_relation_of(X0),X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_157_5) ).
cnf(c_543,plain,
( subset(X0,domain(X1,X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(identity_relation_of(X0),X3) ),
inference(copy,[status(esa)],[c_220]) ).
cnf(c_30379,plain,
( ~ ilf_type(sk2_esk2_0,set_type)
| ~ ilf_type(sk2_esk3_0,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(identity_relation_of(sk2_esk2_0),sk2_esk3_0)
| subset(sk2_esk2_0,domain(X0,X1,sk2_esk3_0)) ),
inference(instantiation,[status(thm)],[c_543]) ).
cnf(c_30430,plain,
( ~ ilf_type(sk2_esk1_0,set_type)
| ~ ilf_type(sk2_esk2_0,set_type)
| ~ ilf_type(sk2_esk3_0,relation_type(sk2_esk1_0,sk2_esk2_0))
| ~ subset(identity_relation_of(sk2_esk2_0),sk2_esk3_0)
| subset(sk2_esk2_0,domain(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0)) ),
inference(instantiation,[status(thm)],[c_30379]) ).
cnf(c_214,plain,
( subset(X0,range(X1,X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(identity_relation_of(X0),X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_158_5) ).
cnf(c_537,plain,
( subset(X0,range(X1,X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(identity_relation_of(X0),X3) ),
inference(copy,[status(esa)],[c_214]) ).
cnf(c_30311,plain,
( ~ ilf_type(sk2_esk2_0,set_type)
| ~ ilf_type(sk2_esk3_0,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(identity_relation_of(sk2_esk2_0),sk2_esk3_0)
| subset(sk2_esk2_0,range(X0,X1,sk2_esk3_0)) ),
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_30428,plain,
( ~ ilf_type(sk2_esk1_0,set_type)
| ~ ilf_type(sk2_esk2_0,set_type)
| ~ ilf_type(sk2_esk3_0,relation_type(sk2_esk1_0,sk2_esk2_0))
| ~ subset(identity_relation_of(sk2_esk2_0),sk2_esk3_0)
| subset(sk2_esk2_0,range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0)) ),
inference(instantiation,[status(thm)],[c_30311]) ).
cnf(c_116,plain,
( ~ ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(power_set(X1))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_180_0) ).
cnf(c_439,plain,
( ~ ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(power_set(X1))) ),
inference(copy,[status(esa)],[c_116]) ).
cnf(c_30424,plain,
( ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),subset_type(sk2_esk2_0))
| ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),member_type(power_set(sk2_esk2_0)))
| ~ ilf_type(sk2_esk2_0,set_type) ),
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_73,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_190_0) ).
cnf(c_396,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| X0 = X1 ),
inference(copy,[status(esa)],[c_73]) ).
cnf(c_30409,plain,
( ~ ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),set_type)
| ~ ilf_type(sk2_esk2_0,set_type)
| ~ subset(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),sk2_esk2_0)
| ~ subset(sk2_esk2_0,range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0))
| range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0) = sk2_esk2_0 ),
inference(instantiation,[status(thm)],[c_396]) ).
cnf(c_210,plain,
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_159_3) ).
cnf(c_533,plain,
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(copy,[status(esa)],[c_210]) ).
cnf(c_30220,plain,
( ilf_type(range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),subset_type(sk2_esk2_0))
| ~ ilf_type(sk2_esk1_0,set_type)
| ~ ilf_type(sk2_esk2_0,set_type)
| ~ ilf_type(sk2_esk3_0,relation_type(sk2_esk1_0,sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_533]) ).
cnf(c_230,negated_conjecture,
( ~ subset(sk2_esk2_0,domain(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0))
| range(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0) != sk2_esk2_0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_8) ).
cnf(c_231,negated_conjecture,
ilf_type(sk2_esk3_0,relation_type(sk2_esk1_0,sk2_esk2_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_9) ).
cnf(c_232,negated_conjecture,
subset(identity_relation_of(sk2_esk2_0),sk2_esk3_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_10) ).
cnf(c_233,negated_conjecture,
ilf_type(sk2_esk1_0,set_type),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_11) ).
cnf(c_234,negated_conjecture,
ilf_type(sk2_esk2_0,set_type),
file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p',c_0_12) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_697329,c_322607,c_205882,c_149130,c_66635,c_66639,c_66642,c_65805,c_30430,c_30428,c_30424,c_30409,c_30220,c_230,c_231,c_232,c_233,c_234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET669+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n007.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 11:46:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.20/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40 % FOF problem with conjecture
% 0.20/0.41 % 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_fff100.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e995ee.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_79287d | grep -v "SZS"
% 0.20/0.43
% 0.20/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ iProver source info
% 0.20/0.43
% 0.20/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43 % git: non_committed_changes: true
% 0.20/0.43 % git: last_make_outside_of_git: true
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fff100.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44 % ------ Parsing...% successful
% 0.20/0.44
% 0.20/0.44 % ------ 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 %
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % ------ Problem Properties
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % EPR false
% 0.20/0.44 % Horn false
% 0.20/0.44 % Has equality true
% 0.20/0.44
% 0.20/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % % ------ Current options:
% 0.20/0.44
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fff100.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % warning: shown sat in sat incomplete mode
% 0.20/0.44 %
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 cnf(c_61,plain,
% 0.20/0.44 ( ~ member(ordered_pair(sk1_esk3_2(X0,X1),sk1_esk4_2(X0,X1)),X1)
% 0.20/0.44 | ~ ilf_type(X1,binary_relation_type)
% 0.20/0.44 | subset(X0,X1)
% 0.20/0.44 | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_148_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_344,plain,
% 0.20/0.44 ( ~ member(ordered_pair(sk1_esk3_2(X0,X1),sk1_esk4_2(X0,X1)),X1)
% 0.20/0.44 | ~ ilf_type(X1,binary_relation_type)
% 0.20/0.44 | subset(X0,X1)
% 0.20/0.44 | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_61]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_345,plain,
% 0.20/0.44 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.44 | ~ ilf_type(X1,binary_relation_type)
% 0.20/0.44 | subset(X1,X0)
% 0.20/0.44 | ~ member(ordered_pair(sk1_esk3_2(X1,X0),sk1_esk4_2(X1,X0)),X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_344]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_60,plain,
% 0.20/0.44 ( ~ subset(identity_relation_of(X0),X1)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X3))
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X3,set_type)
% 0.20/0.44 | subset(X0,domain(X2,X3,X1))
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_149_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_342,plain,
% 0.20/0.44 ( ~ subset(identity_relation_of(X0),X1)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X3))
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X3,set_type)
% 0.20/0.44 | subset(X0,domain(X2,X3,X1))
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_343,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ~ ilf_type(X3,relation_type(X2,X1))
% 0.20/0.44 | ~ subset(identity_relation_of(X0),X3)
% 0.20/0.44 | subset(X0,domain(X2,X1,X3)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_342]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_59,plain,
% 0.20/0.44 ( ~ subset(identity_relation_of(X0),X1)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X3))
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X3,set_type)
% 0.20/0.44 | subset(X0,range(X2,X3,X1))
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_150_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_340,plain,
% 0.20/0.44 ( ~ subset(identity_relation_of(X0),X1)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X3))
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X3,set_type)
% 0.20/0.44 | subset(X0,range(X2,X3,X1))
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_59]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_341,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ~ ilf_type(X3,relation_type(X2,X1))
% 0.20/0.44 | ~ subset(identity_relation_of(X0),X3)
% 0.20/0.44 | subset(X0,range(X2,X1,X3)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_340]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_58,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X0))
% 0.20/0.44 | ilf_type(range(X2,X0,X1),subset_type(X0))
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_151_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_338,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X0))
% 0.20/0.44 | ilf_type(range(X2,X0,X1),subset_type(X0))
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_58]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_339,plain,
% 0.20/0.44 ( ilf_type(range(X0,X1,X2),subset_type(X1))
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X2,relation_type(X0,X1)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_338]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_57,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X0))
% 0.20/0.44 | ilf_type(domain(X2,X0,X1),subset_type(X2))
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_152_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_336,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X0))
% 0.20/0.44 | ilf_type(domain(X2,X0,X1),subset_type(X2))
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_57]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_337,plain,
% 0.20/0.44 ( ilf_type(domain(X0,X1,X2),subset_type(X0))
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X2,relation_type(X0,X1)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_336]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_56,plain,
% 0.20/0.44 ( ~ subset(X0,X1)
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ~ ilf_type(X3,set_type)
% 0.20/0.44 | ~ member(ordered_pair(X2,X3),X0)
% 0.20/0.44 | ~ ilf_type(X1,binary_relation_type)
% 0.20/0.44 | member(ordered_pair(X2,X3),X1)
% 0.20/0.44 | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_153_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_334,plain,
% 0.20/0.44 ( ~ subset(X0,X1)
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ~ ilf_type(X3,set_type)
% 0.20/0.44 | ~ member(ordered_pair(X2,X3),X0)
% 0.20/0.44 | ~ ilf_type(X1,binary_relation_type)
% 0.20/0.44 | member(ordered_pair(X2,X3),X1)
% 0.20/0.44 | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_56]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_335,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X2,binary_relation_type)
% 0.20/0.44 | ~ ilf_type(X3,binary_relation_type)
% 0.20/0.44 | ~ subset(X3,X2)
% 0.20/0.44 | ~ member(ordered_pair(X0,X1),X3)
% 0.20/0.44 | member(ordered_pair(X0,X1),X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_334]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_55,plain,
% 0.20/0.44 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.44 | member(ordered_pair(sk1_esk3_2(X1,X0),sk1_esk4_2(X1,X0)),X1)
% 0.20/0.44 | subset(X1,X0)
% 0.20/0.44 | ~ ilf_type(X1,binary_relation_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_154_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_332,plain,
% 0.20/0.44 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.44 | member(ordered_pair(sk1_esk3_2(X1,X0),sk1_esk4_2(X1,X0)),X1)
% 0.20/0.44 | subset(X1,X0)
% 0.20/0.44 | ~ ilf_type(X1,binary_relation_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_55]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_333,plain,
% 0.20/0.44 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.44 | ~ ilf_type(X1,binary_relation_type)
% 0.20/0.44 | subset(X1,X0)
% 0.20/0.44 | member(ordered_pair(sk1_esk3_2(X1,X0),sk1_esk4_2(X1,X0)),X1) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_332]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_54,plain,
% 0.20/0.44 ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ilf_type(X0,relation_type(X1,X2))
% 0.20/0.44 | ~ ilf_type(X1,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_155_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_330,plain,
% 0.20/0.44 ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ilf_type(X0,relation_type(X1,X2))
% 0.20/0.44 | ~ ilf_type(X1,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_54]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_331,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X2,subset_type(cross_product(X1,X0)))
% 0.20/0.44 | ilf_type(X2,relation_type(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_330]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_53,plain,
% 0.20/0.44 ( ~ ilf_type(X0,relation_type(X1,X2))
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ilf_type(X0,subset_type(cross_product(X1,X2)))
% 0.20/0.44 | ~ ilf_type(X1,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_156_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_328,plain,
% 0.20/0.44 ( ~ ilf_type(X0,relation_type(X1,X2))
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ilf_type(X0,subset_type(cross_product(X1,X2)))
% 0.20/0.44 | ~ ilf_type(X1,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_53]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_329,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ilf_type(X2,subset_type(cross_product(X1,X0)))
% 0.20/0.44 | ~ ilf_type(X2,relation_type(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_328]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_52,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X0))
% 0.20/0.44 | range(X2,X0,X1) = range_of(X1)
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_157_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_326,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X0))
% 0.20/0.44 | range(X2,X0,X1) = range_of(X1)
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_52]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_327,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X2,relation_type(X1,X0))
% 0.20/0.44 | range(X1,X0,X2) = range_of(X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_326]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_51,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X0))
% 0.20/0.44 | domain(X2,X0,X1) = domain_of(X1)
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_158_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_324,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,relation_type(X2,X0))
% 0.20/0.44 | domain(X2,X0,X1) = domain_of(X1)
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_51]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_325,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X2,relation_type(X1,X0))
% 0.20/0.44 | domain(X1,X0,X2) = domain_of(X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_324]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_50,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
% 0.20/0.44 | relation_like(X1)
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_159_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_322,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
% 0.20/0.44 | relation_like(X1)
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_50]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_323,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X2,subset_type(cross_product(X1,X0)))
% 0.20/0.44 | relation_like(X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_322]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_49,plain,
% 0.20/0.44 ( ~ member(ordered_pair(X0,X1),identity_relation_of(X2))
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | member(X0,X2)
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_160_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_320,plain,
% 0.20/0.44 ( ~ member(ordered_pair(X0,X1),identity_relation_of(X2))
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | member(X0,X2)
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_49]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_321,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X2,set_type)
% 0.20/0.44 | ~ member(ordered_pair(X1,X0),identity_relation_of(X2))
% 0.20/0.44 | member(X1,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_320]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_48,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ relation_like(X1)
% 0.20/0.44 | ordered_pair(sk1_esk7_2(X1,X0),sk1_esk8_2(X1,X0)) = X0
% 0.20/0.44 | ~ ilf_type(X1,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_161_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_318,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ relation_like(X1)
% 0.20/0.44 | ordered_pair(sk1_esk7_2(X1,X0),sk1_esk8_2(X1,X0)) = X0
% 0.20/0.44 | ~ ilf_type(X1,set_type) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_319,plain,
% 0.20/0.44 ( ~ ilf_type(X0,set_type)
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ relation_like(X1)
% 0.20/0.44 | ~ member(X0,X1)
% 0.20/0.44 | ordered_pair(sk1_esk7_2(X1,X0),sk1_esk8_2(X1,X0)) = X0 ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_318]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_47,plain,
% 0.20/0.44 ( ~ member(ordered_pair(X0,X1),identity_relation_of(X2))
% 0.20/0.44 | ~ ilf_type(X1,set_type)
% 0.20/0.44 | ~ ilf_type(X0,set_type)
% 0.20/0.44 | X0 = X1
% 0.20/0.44 | ~ ilf_type(X2,set_type) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_162_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_316,plain,
% 0.20/0.44 ( ~ member(ordered_pair(X0,X1),identity_relation_of(X2))
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | X0 = X1
% 0.20/0.45 | ~ ilf_type(X2,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_47]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_317,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ member(ordered_pair(X1,X0),identity_relation_of(X2))
% 0.20/0.45 | X1 = X0 ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_316]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_46,plain,
% 0.20/0.45 ( ~ member(X0,X1)
% 0.20/0.45 | X0 != X2
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | member(ordered_pair(X0,X2),identity_relation_of(X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_163_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_314,plain,
% 0.20/0.45 ( ~ member(X0,X1)
% 0.20/0.45 | X0 != X2
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | member(ordered_pair(X0,X2),identity_relation_of(X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_46]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_315,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | member(ordered_pair(X1,X0),identity_relation_of(X2))
% 0.20/0.45 | ~ member(X1,X2)
% 0.20/0.45 | X1 != X0 ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_314]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_45,plain,
% 0.20/0.45 ( ~ member(X0,power_set(X1))
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ member(X2,X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(X2,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_164_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_312,plain,
% 0.20/0.45 ( ~ member(X0,power_set(X1))
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ member(X2,X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(X2,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_45]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_313,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ member(X2,power_set(X1))
% 0.20/0.45 | ~ member(X0,X2)
% 0.20/0.45 | member(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_312]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_44,plain,
% 0.20/0.45 ( ~ member(sk1_esk6_2(X0,X1),X1)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(X0,power_set(X1))
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_165_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_310,plain,
% 0.20/0.45 ( ~ member(sk1_esk6_2(X0,X1),X1)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(X0,power_set(X1))
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_44]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_311,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ member(sk1_esk6_2(X1,X0),X0)
% 0.20/0.45 | member(X1,power_set(X0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_310]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_43,plain,
% 0.20/0.45 ( ~ subset(X0,X1)
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ member(X2,X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(X2,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_166_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_308,plain,
% 0.20/0.45 ( ~ subset(X0,X1)
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ member(X2,X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(X2,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_43]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_309,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | ~ subset(X2,X1)
% 0.20/0.45 | ~ member(X0,X2)
% 0.20/0.45 | member(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_308]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_42,plain,
% 0.20/0.45 ( ~ member(sk1_esk2_2(X0,X1),X1)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X0,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_167_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_306,plain,
% 0.20/0.45 ( ~ member(sk1_esk2_2(X0,X1),X1)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X0,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_42]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_307,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ member(sk1_esk2_2(X1,X0),X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_306]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_41,plain,
% 0.20/0.45 ( ~ ilf_type(X0,member_type(power_set(X1)))
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(X0,subset_type(X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_168_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_304,plain,
% 0.20/0.45 ( ~ ilf_type(X0,member_type(power_set(X1)))
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(X0,subset_type(X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_41]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_305,plain,
% 0.20/0.45 ( ~ ilf_type(X0,member_type(power_set(X1)))
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ilf_type(X0,subset_type(X1)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_304]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_40,plain,
% 0.20/0.45 ( ~ member(X0,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ relation_like(X1)
% 0.20/0.45 | ilf_type(sk1_esk7_2(X1,X0),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_169_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_302,plain,
% 0.20/0.45 ( ~ member(X0,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ relation_like(X1)
% 0.20/0.45 | ilf_type(sk1_esk7_2(X1,X0),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_40]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_303,plain,
% 0.20/0.45 ( ilf_type(sk1_esk7_2(X0,X1),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ relation_like(X0)
% 0.20/0.45 | ~ member(X1,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_302]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_39,plain,
% 0.20/0.45 ( ~ member(X0,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ relation_like(X1)
% 0.20/0.45 | ilf_type(sk1_esk8_2(X1,X0),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_170_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_300,plain,
% 0.20/0.45 ( ~ member(X0,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ relation_like(X1)
% 0.20/0.45 | ilf_type(sk1_esk8_2(X1,X0),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_39]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_301,plain,
% 0.20/0.45 ( ilf_type(sk1_esk8_2(X0,X1),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ relation_like(X0)
% 0.20/0.45 | ~ member(X1,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_300]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_38,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(sk1_esk1_2(X1,X0),relation_type(X0,X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_171_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_298,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(sk1_esk1_2(X1,X0),relation_type(X0,X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_38]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_299,plain,
% 0.20/0.45 ( ilf_type(sk1_esk1_2(X0,X1),relation_type(X1,X0))
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_298]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_37,plain,
% 0.20/0.45 ( ~ ilf_type(X0,subset_type(X1))
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(X0,member_type(power_set(X1)))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_172_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_296,plain,
% 0.20/0.45 ( ~ ilf_type(X0,subset_type(X1))
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(X0,member_type(power_set(X1)))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_37]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_297,plain,
% 0.20/0.45 ( ilf_type(X0,member_type(power_set(X1)))
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,subset_type(X1)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_296]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_36,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | member(sk1_esk6_2(X1,X0),X1)
% 0.20/0.45 | member(X1,power_set(X0))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_173_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_294,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | member(sk1_esk6_2(X1,X0),X1)
% 0.20/0.45 | member(X1,power_set(X0))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_36]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_295,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(sk1_esk6_2(X1,X0),X1)
% 0.20/0.45 | member(X1,power_set(X0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_294]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_35,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(sk1_esk6_2(X1,X0),set_type)
% 0.20/0.45 | member(X1,power_set(X0))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_174_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_292,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(sk1_esk6_2(X1,X0),set_type)
% 0.20/0.45 | member(X1,power_set(X0))
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_35]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_293,plain,
% 0.20/0.45 ( ilf_type(sk1_esk6_2(X0,X1),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | member(X0,power_set(X1)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_292]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_34,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | member(sk1_esk2_2(X1,X0),X1)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_175_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_290,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | member(sk1_esk2_2(X1,X0),X1)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_34]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_291,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | member(sk1_esk2_2(X1,X0),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_290]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_33,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | sk1_esk9_1(X2) != ordered_pair(X0,X1)
% 0.20/0.45 | relation_like(X2)
% 0.20/0.45 | ~ ilf_type(X2,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_176_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_288,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | sk1_esk9_1(X2) != ordered_pair(X0,X1)
% 0.20/0.45 | relation_like(X2)
% 0.20/0.45 | ~ ilf_type(X2,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_33]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_289,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X2,set_type)
% 0.20/0.45 | relation_like(X2)
% 0.20/0.45 | sk1_esk9_1(X2) != ordered_pair(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_288]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_32,plain,
% 0.20/0.45 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | ilf_type(sk1_esk3_2(X1,X0),set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X1,binary_relation_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_177_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_286,plain,
% 0.20/0.45 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | ilf_type(sk1_esk3_2(X1,X0),set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X1,binary_relation_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_32]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_287,plain,
% 0.20/0.45 ( ilf_type(sk1_esk3_2(X0,X1),set_type)
% 0.20/0.45 | ~ ilf_type(X1,binary_relation_type)
% 0.20/0.45 | ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | subset(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_286]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_31,plain,
% 0.20/0.45 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | ilf_type(sk1_esk4_2(X1,X0),set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X1,binary_relation_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_178_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_284,plain,
% 0.20/0.45 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | ilf_type(sk1_esk4_2(X1,X0),set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X1,binary_relation_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_285,plain,
% 0.20/0.45 ( ilf_type(sk1_esk4_2(X0,X1),set_type)
% 0.20/0.45 | ~ ilf_type(X1,binary_relation_type)
% 0.20/0.45 | ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | subset(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_284]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_30,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(sk1_esk2_2(X1,X0),set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_179_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_282,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(sk1_esk2_2(X1,X0),set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_30]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_283,plain,
% 0.20/0.45 ( ilf_type(sk1_esk2_2(X0,X1),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | subset(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_282]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_29,plain,
% 0.20/0.45 ( ~ ilf_type(X0,member_type(X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(X0,X1)
% 0.20/0.45 | empty(X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_180_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_280,plain,
% 0.20/0.45 ( ~ ilf_type(X0,member_type(X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | member(X0,X1)
% 0.20/0.45 | empty(X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_29]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_281,plain,
% 0.20/0.45 ( ~ ilf_type(X0,member_type(X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | empty(X1)
% 0.20/0.45 | member(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_280]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_28,plain,
% 0.20/0.45 ( ~ member(X0,X1)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ilf_type(X0,member_type(X1))
% 0.20/0.45 | empty(X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_181_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_278,plain,
% 0.20/0.45 ( ~ member(X0,X1)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ilf_type(X0,member_type(X1))
% 0.20/0.45 | empty(X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_28]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_279,plain,
% 0.20/0.45 ( ilf_type(X0,member_type(X1))
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | empty(X1)
% 0.20/0.45 | ~ member(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_278]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_26,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ subset(X1,X0)
% 0.20/0.45 | ~ subset(X0,X1)
% 0.20/0.45 | X1 = X0
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_183_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_274,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ subset(X1,X0)
% 0.20/0.45 | ~ subset(X0,X1)
% 0.20/0.45 | X1 = X0
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_26]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_275,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ subset(X1,X0)
% 0.20/0.45 | ~ subset(X0,X1)
% 0.20/0.45 | X1 = X0 ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_274]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_25,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(ordered_pair(X1,X0),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_184_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_272,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(ordered_pair(X1,X0),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_25]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_273,plain,
% 0.20/0.45 ( ilf_type(ordered_pair(X0,X1),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_272]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_24,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(cross_product(X1,X0),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_185_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_270,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(cross_product(X1,X0),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_24]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_271,plain,
% 0.20/0.45 ( ilf_type(cross_product(X0,X1),set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_270]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_23,plain,
% 0.20/0.45 ( ~ empty(X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ member(X1,X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_186_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_268,plain,
% 0.20/0.45 ( ~ empty(X0)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ member(X1,X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_23]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_269,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | ~ empty(X1)
% 0.20/0.45 | ~ member(X0,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_268]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_22,plain,
% 0.20/0.45 ( ~ relation_like(X0)
% 0.20/0.45 | ilf_type(X0,binary_relation_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_187_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_266,plain,
% 0.20/0.45 ( ~ relation_like(X0)
% 0.20/0.45 | ilf_type(X0,binary_relation_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_22]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_267,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ilf_type(X0,binary_relation_type)
% 0.20/0.45 | ~ relation_like(X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_266]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_21,plain,
% 0.20/0.45 ( X0 != X1
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X0,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_188_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_264,plain,
% 0.20/0.45 ( X0 != X1
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X0,X1)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_21]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_265,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | X1 != X0 ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_264]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_20,plain,
% 0.20/0.45 ( X0 != X1
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_189_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_262,plain,
% 0.20/0.45 ( X0 != X1
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X1,X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_20]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_263,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X1,set_type)
% 0.20/0.45 | subset(X0,X1)
% 0.20/0.45 | X1 != X0 ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_262]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_18,plain,
% 0.20/0.45 ( ~ empty(X0) | ~ ilf_type(X0,set_type) | relation_like(X0) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_191_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_258,plain,
% 0.20/0.45 ( ~ empty(X0) | ~ ilf_type(X0,set_type) | relation_like(X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_259,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type) | ~ empty(X0) | relation_like(X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_258]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_16,plain,
% 0.20/0.45 ( member(sk1_esk10_1(X0),X0) | empty(X0) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_193_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_254,plain,
% 0.20/0.45 ( member(sk1_esk10_1(X0),X0) | empty(X0) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_16]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_255,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type) | empty(X0) | member(sk1_esk10_1(X0),X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_254]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_15,plain,
% 0.20/0.45 ( member(sk1_esk9_1(X0),X0)
% 0.20/0.45 | relation_like(X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_194_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_252,plain,
% 0.20/0.45 ( member(sk1_esk9_1(X0),X0)
% 0.20/0.45 | relation_like(X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_15]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_253,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | relation_like(X0)
% 0.20/0.45 | member(sk1_esk9_1(X0),X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_252]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_14,plain,
% 0.20/0.45 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | relation_like(X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_195_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_250,plain,
% 0.20/0.45 ( ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | relation_like(X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_14]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_251,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | ~ ilf_type(X0,binary_relation_type)
% 0.20/0.45 | relation_like(X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_250]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_13,plain,
% 0.20/0.45 ( ilf_type(sk1_esk10_1(X0),set_type)
% 0.20/0.45 | empty(X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_196_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_248,plain,
% 0.20/0.45 ( ilf_type(sk1_esk10_1(X0),set_type)
% 0.20/0.45 | empty(X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_13]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_249,plain,
% 0.20/0.45 ( ilf_type(sk1_esk10_1(X0),set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | empty(X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_248]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_12,plain,
% 0.20/0.45 ( ilf_type(sk1_esk9_1(X0),set_type)
% 0.20/0.45 | relation_like(X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_197_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_246,plain,
% 0.20/0.45 ( ilf_type(sk1_esk9_1(X0),set_type)
% 0.20/0.45 | relation_like(X0)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_247,plain,
% 0.20/0.45 ( ilf_type(sk1_esk9_1(X0),set_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | relation_like(X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_246]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_7,plain,
% 0.20/0.45 ( ~ empty(power_set(X0)) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_202_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_236,plain,
% 0.20/0.45 ( ~ empty(power_set(X0)) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_237,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type) | ~ empty(power_set(X0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_236]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_6,plain,
% 0.20/0.45 ( subset(X0,X0) | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_203_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_234,plain,
% 0.20/0.45 ( subset(X0,X0) | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_235,plain,
% 0.20/0.45 ( ~ ilf_type(X0,binary_relation_type) | subset(X0,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_234]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_5,plain,
% 0.20/0.45 ( subset(X0,X0) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_204_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_232,plain,
% 0.20/0.45 ( subset(X0,X0) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_233,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type) | subset(X0,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_232]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_0,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | empty(X0)
% 0.20/0.45 | ilf_type(sk2_esk1_1(X0),member_type(X0)) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_8_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_222,plain,
% 0.20/0.45 ( ~ ilf_type(X0,set_type)
% 0.20/0.45 | empty(X0)
% 0.20/0.45 | ilf_type(sk2_esk1_1(X0),member_type(X0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_223,plain,
% 0.20/0.45 ( ilf_type(sk2_esk1_1(X0),member_type(X0))
% 0.20/0.45 | ~ ilf_type(X0,set_type)
% 0.20/0.45 | empty(X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_222]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_64,negated_conjecture,
% 0.20/0.45 ( subset(identity_relation_of(sk3_esk2_0),sk3_esk3_0) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_10) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_124,negated_conjecture,
% 0.20/0.45 ( subset(identity_relation_of(sk3_esk2_0),sk3_esk3_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_142,negated_conjecture,
% 0.20/0.45 ( subset(identity_relation_of(sk3_esk2_0),sk3_esk3_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_124]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_147,negated_conjecture,
% 0.20/0.45 ( subset(identity_relation_of(sk3_esk2_0),sk3_esk3_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_142]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_150,negated_conjecture,
% 0.20/0.45 ( subset(identity_relation_of(sk3_esk2_0),sk3_esk3_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_147]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_346,negated_conjecture,
% 0.20/0.45 ( subset(identity_relation_of(sk3_esk2_0),sk3_esk3_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_150]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_63,negated_conjecture,
% 0.20/0.45 ( ilf_type(sk3_esk3_0,relation_type(sk3_esk1_0,sk3_esk2_0)) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_9) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_122,negated_conjecture,
% 0.20/0.45 ( ilf_type(sk3_esk3_0,relation_type(sk3_esk1_0,sk3_esk2_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_63]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_141,negated_conjecture,
% 0.20/0.45 ( ilf_type(sk3_esk3_0,relation_type(sk3_esk1_0,sk3_esk2_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_122]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_148,negated_conjecture,
% 0.20/0.45 ( ilf_type(sk3_esk3_0,relation_type(sk3_esk1_0,sk3_esk2_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_141]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_154,negated_conjecture,
% 0.20/0.45 ( ilf_type(sk3_esk3_0,relation_type(sk3_esk1_0,sk3_esk2_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_148]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_354,negated_conjecture,
% 0.20/0.45 ( ilf_type(sk3_esk3_0,relation_type(sk3_esk1_0,sk3_esk2_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_154]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_62,negated_conjecture,
% 0.20/0.45 ( ~ subset(sk3_esk2_0,domain(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
% 0.20/0.45 | range(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) != sk3_esk2_0 ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_8) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_120,negated_conjecture,
% 0.20/0.45 ( ~ subset(sk3_esk2_0,domain(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
% 0.20/0.45 | range(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) != sk3_esk2_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_62]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_140,negated_conjecture,
% 0.20/0.45 ( ~ subset(sk3_esk2_0,domain(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
% 0.20/0.45 | range(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) != sk3_esk2_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_120]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_149,negated_conjecture,
% 0.20/0.45 ( ~ subset(sk3_esk2_0,domain(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
% 0.20/0.45 | range(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) != sk3_esk2_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_140]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_153,negated_conjecture,
% 0.20/0.45 ( ~ subset(sk3_esk2_0,domain(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
% 0.20/0.45 | range(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) != sk3_esk2_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_149]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_352,negated_conjecture,
% 0.20/0.45 ( ~ subset(sk3_esk2_0,domain(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
% 0.20/0.45 | range(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) != sk3_esk2_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_153]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_17,plain,
% 0.20/0.45 ( ilf_type(sk1_esk5_1(X0),subset_type(X0)) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_192_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_256,plain,
% 0.20/0.45 ( ilf_type(sk1_esk5_1(X0),subset_type(X0)) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_17]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_11,plain,
% 0.20/0.45 ( ilf_type(power_set(X0),set_type) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_198_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_244,plain,
% 0.20/0.45 ( ilf_type(power_set(X0),set_type) | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_11]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_10,plain,
% 0.20/0.45 ( ilf_type(range_of(X0),set_type) | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_199_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_242,plain,
% 0.20/0.45 ( ilf_type(range_of(X0),set_type) | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_9,plain,
% 0.20/0.45 ( ilf_type(domain_of(X0),set_type)
% 0.20/0.45 | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_200_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_240,plain,
% 0.20/0.45 ( ilf_type(domain_of(X0),set_type)
% 0.20/0.45 | ~ ilf_type(X0,binary_relation_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_8,plain,
% 0.20/0.45 ( ilf_type(identity_relation_of(X0),binary_relation_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_201_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_238,plain,
% 0.20/0.45 ( ilf_type(identity_relation_of(X0),binary_relation_type)
% 0.20/0.45 | ~ ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_8]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_4,plain,
% 0.20/0.45 ( ilf_type(X0,set_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_205_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_230,negated_conjecture,
% 0.20/0.45 ( ilf_type(X0,set_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_4]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_3,plain,
% 0.20/0.45 ( ilf_type(sk2_esk2_0,binary_relation_type) ),
% 0.20/0.45 file('/export/starexec/sandbox/tmp/iprover_modulo_e995ee.p', c_0_9_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_228,plain,
% 0.20/0.45 ( ilf_type(sk2_esk2_0,binary_relation_type) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_3]) ).
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % ------ Statistics
% 0.20/0.45
% 0.20/0.45 % ------ General
% 0.20/0.45
% 0.20/0.45 % num_of_input_clauses: 67
% 0.20/0.45 % num_of_input_neg_conjectures: 5
% 0.20/0.45 % num_of_splits: 0
% 0.20/0.45 % num_of_split_atoms: 0
% 0.20/0.45 % num_of_sem_filtered_clauses: 0
% 0.20/0.45 % num_of_subtypes: 0
% 0.20/0.45 % monotx_restored_types: 0
% 0.20/0.45 % sat_num_of_epr_types: 0
% 0.20/0.45 % sat_num_of_non_cyclic_types: 0
% 0.20/0.45 % sat_guarded_non_collapsed_types: 0
% 0.20/0.45 % is_epr: 0
% 0.20/0.45 % is_horn: 0
% 0.20/0.45 % has_eq: 1
% 0.20/0.45 % num_pure_diseq_elim: 0
% 0.20/0.45 % simp_replaced_by: 0
% 0.20/0.45 % res_preprocessed: 10
% 0.20/0.45 % prep_upred: 0
% 0.20/0.45 % prep_unflattend: 0
% 0.20/0.45 % pred_elim_cands: 0
% 0.20/0.45 % pred_elim: 0
% 0.20/0.45 % pred_elim_cl: 0
% 0.20/0.45 % pred_elim_cycles: 0
% 0.20/0.45 % forced_gc_time: 0
% 0.20/0.45 % gc_basic_clause_elim: 0
% 0.20/0.45 % parsing_time: 0.003
% 0.20/0.45 % sem_filter_time: 0.
% 0.20/0.45 % pred_elim_time: 0.
% 0.20/0.45 % out_proof_time: 0.
% 0.20/0.45 % monotx_time: 0.
% 0.20/0.45 % subtype_inf_time: 0.
% 0.20/0.45 % unif_index_cands_time: 0.
% 0.20/0.45 % unif_index_add_time: 0.
% 0.20/0.45 % total_time: 0.039
% 0.20/0.45 % num_of_symbols: 58
% 0.20/0.45 % num_of_terms: 371
% 0.20/0.45
% 0.20/0.45 % ------ Propositional Solver
% 0.20/0.45
% 0.20/0.45 % prop_solver_calls: 1
% 0.20/0.45 % prop_fast_solver_calls: 18
% 0.20/0.45 % prop_num_of_clauses: 117
% 0.20/0.45 % prop_preprocess_simplified: 179
% 0.20/0.45 % prop_fo_subsumed: 0
% 0.20/0.45 % prop_solver_time: 0.
% 0.20/0.45 % prop_fast_solver_time: 0.
% 0.20/0.45 % prop_unsat_core_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ QBF
% 0.20/0.45
% 0.20/0.45 % qbf_q_res: 0
% 0.20/0.45 % qbf_num_tautologies: 0
% 0.20/0.45 % qbf_prep_cycles: 0
% 0.20/0.45
% 0.20/0.45 % ------ BMC1
% 0.20/0.45
% 0.20/0.45 % bmc1_current_bound: -1
% 0.20/0.45 % bmc1_last_solved_bound: -1
% 0.20/0.45 % bmc1_unsat_core_size: -1
% 0.20/0.45 % bmc1_unsat_core_parents_size: -1
% 0.20/0.45 % bmc1_merge_next_fun: 0
% 0.20/0.45 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation
% 0.20/0.45
% 0.20/0.45 % inst_num_of_clauses: 67
% 0.20/0.45 % inst_num_in_passive: 0
% 0.20/0.45 % inst_num_in_active: 0
% 0.20/0.45 % inst_num_in_unprocessed: 67
% 0.20/0.45 % inst_num_of_loops: 0
% 0.20/0.45 % inst_num_of_learning_restarts: 0
% 0.20/0.45 % inst_num_moves_active_passive: 0
% 0.20/0.45 % inst_lit_activity: 0
% 0.20/0.45 % inst_lit_activity_moves: 0
% 0.20/0.45 % inst_num_tautologies: 0
% 0.20/0.45 % inst_num_prop_implied: 0
% 0.20/0.45 % inst_num_existing_simplified: 0
% 0.20/0.45 % inst_num_eq_res_simplified: 0
% 0.20/0.45 % inst_num_child_elim: 0
% 0.20/0.45 % inst_num_of_dismatching_blockings: 0
% 0.20/0.45 % inst_num_of_non_proper_insts: 0
% 0.20/0.45 % inst_num_of_duplicates: 0
% 0.20/0.45 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.45 % inst_dismatching_checking_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ Resolution
% 0.20/0.45
% 0.20/0.45 % res_num_of_clauses: 116
% 0.20/0.45 % res_num_in_passive: 0
% 0.20/0.45 % res_num_in_active: 61
% 0.20/0.45 % res_num_of_loops: 6
% 0.20/0.45 % res_forward_subset_subsumed: 3
% 0.20/0.45 % res_backward_subset_subsumed: 0
% 0.20/0.45 % res_forward_subsumed: 2
% 0.20/0.45 % res_backward_subsumed: 0
% 0.20/0.45 % res_forward_subsumption_resolution: 0
% 0.20/0.45 % res_backward_subsumption_resolution: 0
% 0.20/0.45 % res_clause_to_clause_subsumption: 2
% 0.20/0.45 % res_orphan_elimination: 0
% 0.20/0.45 % res_tautology_del: 1
% 0.20/0.45 % res_num_eq_res_simplified: 0
% 0.20/0.45 % res_num_sel_changes: 0
% 0.20/0.45 % res_moves_from_active_to_pass: 0
% 0.20/0.45
% 0.20/0.45 % Status Unknown
% 0.20/0.50 % Orienting using strategy ClausalAll
% 0.20/0.50 % FOF problem with conjecture
% 0.20/0.50 % 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_fff100.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e995ee.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_342780 | grep -v "SZS"
% 0.20/0.52
% 0.20/0.52 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.52
% 0.20/0.52 %
% 0.20/0.52 % ------ iProver source info
% 0.20/0.52
% 0.20/0.52 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.52 % git: non_committed_changes: true
% 0.20/0.52 % git: last_make_outside_of_git: true
% 0.20/0.52
% 0.20/0.52 %
% 0.20/0.52 % ------ Input Options
% 0.20/0.52
% 0.20/0.52 % --out_options all
% 0.20/0.52 % --tptp_safe_out true
% 0.20/0.52 % --problem_path ""
% 0.20/0.52 % --include_path ""
% 0.20/0.52 % --clausifier .//eprover
% 0.20/0.52 % --clausifier_options --tstp-format
% 0.20/0.52 % --stdin false
% 0.20/0.52 % --dbg_backtrace false
% 0.20/0.52 % --dbg_dump_prop_clauses false
% 0.20/0.52 % --dbg_dump_prop_clauses_file -
% 0.20/0.52 % --dbg_out_stat false
% 0.20/0.52
% 0.20/0.52 % ------ General Options
% 0.20/0.52
% 0.20/0.52 % --fof false
% 0.20/0.52 % --time_out_real 150.
% 0.20/0.52 % --time_out_prep_mult 0.2
% 0.20/0.52 % --time_out_virtual -1.
% 0.20/0.52 % --schedule none
% 0.20/0.52 % --ground_splitting input
% 0.20/0.52 % --splitting_nvd 16
% 0.20/0.52 % --non_eq_to_eq false
% 0.20/0.52 % --prep_gs_sim true
% 0.20/0.52 % --prep_unflatten false
% 0.20/0.52 % --prep_res_sim true
% 0.20/0.52 % --prep_upred true
% 0.20/0.52 % --res_sim_input true
% 0.20/0.52 % --clause_weak_htbl true
% 0.20/0.52 % --gc_record_bc_elim false
% 0.20/0.52 % --symbol_type_check false
% 0.20/0.52 % --clausify_out false
% 0.20/0.52 % --large_theory_mode false
% 0.20/0.52 % --prep_sem_filter none
% 0.20/0.52 % --prep_sem_filter_out false
% 0.20/0.52 % --preprocessed_out false
% 0.20/0.52 % --sub_typing false
% 0.20/0.52 % --brand_transform false
% 0.20/0.52 % --pure_diseq_elim true
% 0.20/0.52 % --min_unsat_core false
% 0.20/0.52 % --pred_elim true
% 0.20/0.52 % --add_important_lit false
% 0.20/0.52 % --soft_assumptions false
% 0.20/0.52 % --reset_solvers false
% 0.20/0.52 % --bc_imp_inh []
% 0.20/0.52 % --conj_cone_tolerance 1.5
% 0.20/0.52 % --prolific_symb_bound 500
% 0.20/0.52 % --lt_threshold 2000
% 0.20/0.52
% 0.20/0.52 % ------ SAT Options
% 0.20/0.52
% 0.20/0.52 % --sat_mode false
% 0.20/0.52 % --sat_fm_restart_options ""
% 0.20/0.52 % --sat_gr_def false
% 0.20/0.52 % --sat_epr_types true
% 0.20/0.52 % --sat_non_cyclic_types false
% 0.20/0.52 % --sat_finite_models false
% 0.20/0.52 % --sat_fm_lemmas false
% 0.20/0.52 % --sat_fm_prep false
% 0.20/0.52 % --sat_fm_uc_incr true
% 0.20/0.52 % --sat_out_model small
% 0.20/0.52 % --sat_out_clauses false
% 0.20/0.52
% 0.20/0.52 % ------ QBF Options
% 0.20/0.52
% 0.20/0.52 % --qbf_mode false
% 0.20/0.52 % --qbf_elim_univ true
% 0.20/0.52 % --qbf_sk_in true
% 0.20/0.52 % --qbf_pred_elim true
% 0.20/0.52 % --qbf_split 32
% 0.20/0.52
% 0.20/0.52 % ------ BMC1 Options
% 0.20/0.52
% 0.20/0.52 % --bmc1_incremental false
% 0.20/0.52 % --bmc1_axioms reachable_all
% 0.20/0.52 % --bmc1_min_bound 0
% 0.20/0.52 % --bmc1_max_bound -1
% 0.20/0.52 % --bmc1_max_bound_default -1
% 0.20/0.52 % --bmc1_symbol_reachability true
% 0.20/0.52 % --bmc1_property_lemmas false
% 0.20/0.52 % --bmc1_k_induction false
% 0.20/0.52 % --bmc1_non_equiv_states false
% 0.20/0.52 % --bmc1_deadlock false
% 0.20/0.52 % --bmc1_ucm false
% 0.20/0.52 % --bmc1_add_unsat_core none
% 0.20/0.52 % --bmc1_unsat_core_children false
% 0.20/0.52 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.52 % --bmc1_out_stat full
% 0.20/0.52 % --bmc1_ground_init false
% 0.20/0.52 % --bmc1_pre_inst_next_state false
% 0.20/0.52 % --bmc1_pre_inst_state false
% 0.20/0.52 % --bmc1_pre_inst_reach_state false
% 0.20/0.52 % --bmc1_out_unsat_core false
% 0.20/0.52 % --bmc1_aig_witness_out false
% 0.20/0.52 % --bmc1_verbose false
% 0.20/0.52 % --bmc1_dump_clauses_tptp false
% 0.39/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.39/0.55 % --bmc1_dump_file -
% 0.39/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.39/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.39/0.55 % --bmc1_ucm_extend_mode 1
% 0.39/0.55 % --bmc1_ucm_init_mode 2
% 0.39/0.55 % --bmc1_ucm_cone_mode none
% 0.39/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.39/0.55 % --bmc1_ucm_relax_model 4
% 0.39/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.39/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.39/0.55 % --bmc1_ucm_layered_model none
% 0.39/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.39/0.55
% 0.39/0.55 % ------ AIG Options
% 0.39/0.55
% 0.39/0.55 % --aig_mode false
% 0.39/0.55
% 0.39/0.55 % ------ Instantiation Options
% 0.39/0.55
% 0.39/0.55 % --instantiation_flag true
% 0.39/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.39/0.55 % --inst_solver_per_active 750
% 0.39/0.55 % --inst_solver_calls_frac 0.5
% 0.39/0.55 % --inst_passive_queue_type priority_queues
% 0.39/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.39/0.55 % --inst_passive_queues_freq [25;2]
% 0.39/0.55 % --inst_dismatching true
% 0.39/0.55 % --inst_eager_unprocessed_to_passive true
% 0.39/0.55 % --inst_prop_sim_given true
% 0.39/0.55 % --inst_prop_sim_new false
% 0.39/0.55 % --inst_orphan_elimination true
% 0.39/0.55 % --inst_learning_loop_flag true
% 0.39/0.55 % --inst_learning_start 3000
% 0.39/0.55 % --inst_learning_factor 2
% 0.39/0.55 % --inst_start_prop_sim_after_learn 3
% 0.39/0.55 % --inst_sel_renew solver
% 0.39/0.55 % --inst_lit_activity_flag true
% 0.39/0.55 % --inst_out_proof true
% 0.39/0.55
% 0.39/0.55 % ------ Resolution Options
% 0.39/0.55
% 0.39/0.55 % --resolution_flag true
% 0.39/0.55 % --res_lit_sel kbo_max
% 0.39/0.55 % --res_to_prop_solver none
% 0.39/0.55 % --res_prop_simpl_new false
% 0.39/0.55 % --res_prop_simpl_given false
% 0.39/0.55 % --res_passive_queue_type priority_queues
% 0.39/0.55 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.39/0.55 % --res_passive_queues_freq [15;5]
% 0.39/0.55 % --res_forward_subs full
% 0.39/0.55 % --res_backward_subs full
% 0.39/0.55 % --res_forward_subs_resolution true
% 0.39/0.55 % --res_backward_subs_resolution true
% 0.39/0.55 % --res_orphan_elimination false
% 0.39/0.55 % --res_time_limit 1000.
% 0.39/0.55 % --res_out_proof true
% 0.39/0.55 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fff100.s
% 0.39/0.55 % --modulo true
% 0.39/0.55
% 0.39/0.55 % ------ Combination Options
% 0.39/0.55
% 0.39/0.55 % --comb_res_mult 1000
% 0.39/0.55 % --comb_inst_mult 300
% 0.39/0.55 % ------
% 0.39/0.55
% 0.39/0.55 % ------ Parsing...% successful
% 0.39/0.55
% 0.39/0.55 % ------ 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 %
% 0.39/0.55
% 0.39/0.55 % ------ Proving...
% 0.39/0.55 % ------ Problem Properties
% 0.39/0.55
% 0.39/0.55 %
% 0.39/0.55 % EPR false
% 0.39/0.55 % Horn false
% 0.39/0.55 % Has equality true
% 0.39/0.55
% 0.39/0.55 % % ------ Input Options Time Limit: Unbounded
% 0.39/0.55
% 0.39/0.55
% 0.39/0.55 % % ------ Current options:
% 0.39/0.55
% 0.39/0.55 % ------ Input Options
% 0.39/0.55
% 0.39/0.55 % --out_options all
% 0.39/0.55 % --tptp_safe_out true
% 0.39/0.55 % --problem_path ""
% 0.39/0.55 % --include_path ""
% 0.39/0.55 % --clausifier .//eprover
% 0.39/0.55 % --clausifier_options --tstp-format
% 0.39/0.55 % --stdin false
% 0.39/0.55 % --dbg_backtrace false
% 0.39/0.55 % --dbg_dump_prop_clauses false
% 0.39/0.55 % --dbg_dump_prop_clauses_file -
% 0.39/0.55 % --dbg_out_stat false
% 0.39/0.55
% 0.39/0.55 % ------ General Options
% 0.39/0.55
% 0.39/0.55 % --fof false
% 0.39/0.55 % --time_out_real 150.
% 0.39/0.55 % --time_out_prep_mult 0.2
% 0.39/0.55 % --time_out_virtual -1.
% 0.39/0.55 % --schedule none
% 0.39/0.55 % --ground_splitting input
% 0.39/0.55 % --splitting_nvd 16
% 0.39/0.55 % --non_eq_to_eq false
% 0.39/0.55 % --prep_gs_sim true
% 0.39/0.55 % --prep_unflatten false
% 0.39/0.55 % --prep_res_sim true
% 0.39/0.55 % --prep_upred true
% 0.39/0.55 % --res_sim_input true
% 0.39/0.55 % --clause_weak_htbl true
% 0.39/0.55 % --gc_record_bc_elim false
% 0.39/0.55 % --symbol_type_check false
% 0.39/0.55 % --clausify_out false
% 0.39/0.55 % --large_theory_mode false
% 0.39/0.55 % --prep_sem_filter none
% 0.39/0.55 % --prep_sem_filter_out false
% 0.39/0.55 % --preprocessed_out false
% 0.39/0.55 % --sub_typing false
% 0.39/0.55 % --brand_transform false
% 0.39/0.55 % --pure_diseq_elim true
% 0.39/0.55 % --min_unsat_core false
% 0.39/0.55 % --pred_elim true
% 0.39/0.55 % --add_important_lit false
% 0.39/0.55 % --soft_assumptions false
% 0.39/0.55 % --reset_solvers false
% 0.39/0.55 % --bc_imp_inh []
% 0.39/0.55 % --conj_cone_tolerance 1.5
% 0.39/0.55 % --prolific_symb_bound 500
% 0.39/0.55 % --lt_threshold 2000
% 0.39/0.55
% 0.39/0.55 % ------ SAT Options
% 0.39/0.55
% 0.39/0.55 % --sat_mode false
% 0.39/0.55 % --sat_fm_restart_options ""
% 0.39/0.55 % --sat_gr_def false
% 0.39/0.55 % --sat_epr_types true
% 0.39/0.55 % --sat_non_cyclic_types false
% 0.39/0.55 % --sat_finite_models false
% 0.39/0.55 % --sat_fm_lemmas false
% 0.39/0.55 % --sat_fm_prep false
% 0.39/0.55 % --sat_fm_uc_incr true
% 0.39/0.55 % --sat_out_model small
% 0.39/0.55 % --sat_out_clauses false
% 0.39/0.55
% 0.39/0.55 % ------ QBF Options
% 0.39/0.55
% 0.39/0.55 % --qbf_mode false
% 0.39/0.55 % --qbf_elim_univ true
% 0.39/0.55 % --qbf_sk_in true
% 0.39/0.55 % --qbf_pred_elim true
% 0.39/0.55 % --qbf_split 32
% 0.39/0.55
% 0.39/0.55 % ------ BMC1 Options
% 0.39/0.55
% 0.39/0.55 % --bmc1_incremental false
% 0.39/0.55 % --bmc1_axioms reachable_all
% 0.39/0.55 % --bmc1_min_bound 0
% 0.39/0.55 % --bmc1_max_bound -1
% 0.39/0.55 % --bmc1_max_bound_default -1
% 0.39/0.55 % --bmc1_symbol_reachability true
% 0.39/0.55 % --bmc1_property_lemmas false
% 0.39/0.55 % --bmc1_k_induction false
% 0.39/0.55 % --bmc1_non_equiv_states false
% 0.39/0.55 % --bmc1_deadlock false
% 0.39/0.55 % --bmc1_ucm false
% 0.39/0.55 % --bmc1_add_unsat_core none
% 0.39/0.55 % --bmc1_unsat_core_children false
% 0.39/0.55 % --bmc1_unsat_core_extrapolate_axioms false
% 0.39/0.55 % --bmc1_out_stat full
% 0.39/0.55 % --bmc1_ground_init false
% 0.39/0.55 % --bmc1_pre_inst_next_state false
% 0.39/0.55 % --bmc1_pre_inst_state false
% 0.39/0.55 % --bmc1_pre_inst_reach_state false
% 0.39/0.55 % --bmc1_out_unsat_core false
% 0.39/0.55 % --bmc1_aig_witness_out false
% 0.39/0.55 % --bmc1_verbose false
% 0.39/0.55 % --bmc1_dump_clauses_tptp false
% 0.39/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.39/0.55 % --bmc1_dump_file -
% 0.39/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.39/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.39/0.55 % --bmc1_ucm_extend_mode 1
% 0.39/0.55 % --bmc1_ucm_init_mode 2
% 0.39/0.55 % --bmc1_ucm_cone_mode none
% 0.39/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.39/0.55 % --bmc1_ucm_relax_model 4
% 0.39/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.39/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.39/0.55 % --bmc1_ucm_layered_model none
% 0.39/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.39/0.55
% 0.39/0.55 % ------ AIG Options
% 0.39/0.55
% 0.39/0.55 % --aig_mode false
% 0.39/0.55
% 0.39/0.55 % ------ Instantiation Options
% 0.39/0.55
% 0.39/0.55 % --instantiation_flag true
% 0.39/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.39/0.55 % --inst_solver_per_active 750
% 0.39/0.55 % --inst_solver_calls_frac 0.5
% 0.39/0.55 % --inst_passive_queue_type priority_queues
% 0.39/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.39/0.55 % --inst_passive_queues_freq [25;2]
% 0.39/0.55 % --inst_dismatching true
% 0.39/0.55 % --inst_eager_unprocessed_to_passive true
% 0.39/0.55 % --inst_prop_sim_given true
% 71.59/71.83 % --inst_prop_sim_new false
% 71.59/71.83 % --inst_orphan_elimination true
% 71.59/71.83 % --inst_learning_loop_flag true
% 71.59/71.83 % --inst_learning_start 3000
% 71.59/71.83 % --inst_learning_factor 2
% 71.59/71.83 % --inst_start_prop_sim_after_learn 3
% 71.59/71.83 % --inst_sel_renew solver
% 71.59/71.83 % --inst_lit_activity_flag true
% 71.59/71.83 % --inst_out_proof true
% 71.59/71.83
% 71.59/71.83 % ------ Resolution Options
% 71.59/71.83
% 71.59/71.83 % --resolution_flag true
% 71.59/71.83 % --res_lit_sel kbo_max
% 71.59/71.83 % --res_to_prop_solver none
% 71.59/71.83 % --res_prop_simpl_new false
% 71.59/71.83 % --res_prop_simpl_given false
% 71.59/71.83 % --res_passive_queue_type priority_queues
% 71.59/71.83 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 71.59/71.83 % --res_passive_queues_freq [15;5]
% 71.59/71.83 % --res_forward_subs full
% 71.59/71.83 % --res_backward_subs full
% 71.59/71.83 % --res_forward_subs_resolution true
% 71.59/71.83 % --res_backward_subs_resolution true
% 71.59/71.83 % --res_orphan_elimination false
% 71.59/71.83 % --res_time_limit 1000.
% 71.59/71.83 % --res_out_proof true
% 71.59/71.83 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fff100.s
% 71.59/71.83 % --modulo true
% 71.59/71.83
% 71.59/71.83 % ------ Combination Options
% 71.59/71.83
% 71.59/71.83 % --comb_res_mult 1000
% 71.59/71.83 % --comb_inst_mult 300
% 71.59/71.83 % ------
% 71.59/71.83
% 71.59/71.83
% 71.59/71.83
% 71.59/71.83 % ------ Proving...
% 71.59/71.83 %
% 71.59/71.83
% 71.59/71.83
% 71.59/71.83 % ------ Statistics
% 71.59/71.83
% 71.59/71.83 % ------ General
% 71.59/71.83
% 71.59/71.83 % num_of_input_clauses: 235
% 71.59/71.83 % num_of_input_neg_conjectures: 5
% 71.59/71.83 % num_of_splits: 0
% 71.59/71.83 % num_of_split_atoms: 0
% 71.59/71.83 % num_of_sem_filtered_clauses: 0
% 71.59/71.83 % num_of_subtypes: 0
% 71.59/71.83 % monotx_restored_types: 0
% 71.59/71.83 % sat_num_of_epr_types: 0
% 71.59/71.83 % sat_num_of_non_cyclic_types: 0
% 71.59/71.83 % sat_guarded_non_collapsed_types: 0
% 71.59/71.83 % is_epr: 0
% 71.59/71.83 % is_horn: 0
% 71.59/71.83 % has_eq: 1
% 71.59/71.83 % num_pure_diseq_elim: 0
% 71.59/71.83 % simp_replaced_by: 4
% 71.59/71.83 % res_preprocessed: 10
% 71.59/71.83 % prep_upred: 0
% 71.59/71.83 % prep_unflattend: 0
% 71.59/71.83 % pred_elim_cands: 0
% 71.59/71.83 % pred_elim: 0
% 71.59/71.83 % pred_elim_cl: 0
% 71.59/71.83 % pred_elim_cycles: 0
% 71.59/71.83 % forced_gc_time: 0
% 71.59/71.83 % gc_basic_clause_elim: 0
% 71.59/71.83 % parsing_time: 0.011
% 71.59/71.83 % sem_filter_time: 0.
% 71.59/71.83 % pred_elim_time: 0.
% 71.59/71.83 % out_proof_time: 0.002
% 71.59/71.83 % monotx_time: 0.
% 71.59/71.83 % subtype_inf_time: 0.
% 71.59/71.83 % unif_index_cands_time: 0.025
% 71.59/71.83 % unif_index_add_time: 0.087
% 71.59/71.83 % total_time: 71.323
% 71.59/71.83 % num_of_symbols: 58
% 71.59/71.83 % num_of_terms: 232209
% 71.59/71.83
% 71.59/71.83 % ------ Propositional Solver
% 71.59/71.83
% 71.59/71.83 % prop_solver_calls: 19
% 71.59/71.83 % prop_fast_solver_calls: 18
% 71.59/71.83 % prop_num_of_clauses: 10083
% 71.59/71.83 % prop_preprocess_simplified: 15945
% 71.59/71.83 % prop_fo_subsumed: 0
% 71.59/71.83 % prop_solver_time: 0.01
% 71.59/71.83 % prop_fast_solver_time: 0.
% 71.59/71.83 % prop_unsat_core_time: 0.001
% 71.59/71.83
% 71.59/71.83 % ------ QBF
% 71.59/71.83
% 71.59/71.83 % qbf_q_res: 0
% 71.59/71.83 % qbf_num_tautologies: 0
% 71.59/71.83 % qbf_prep_cycles: 0
% 71.59/71.83
% 71.59/71.83 % ------ BMC1
% 71.59/71.83
% 71.59/71.83 % bmc1_current_bound: -1
% 71.59/71.83 % bmc1_last_solved_bound: -1
% 71.59/71.83 % bmc1_unsat_core_size: -1
% 71.59/71.83 % bmc1_unsat_core_parents_size: -1
% 71.59/71.83 % bmc1_merge_next_fun: 0
% 71.59/71.83 % bmc1_unsat_core_clauses_time: 0.
% 71.59/71.83
% 71.59/71.83 % ------ Instantiation
% 71.59/71.83
% 71.59/71.83 % inst_num_of_clauses: 2968
% 71.59/71.83 % inst_num_in_passive: 1358
% 71.59/71.83 % inst_num_in_active: 1410
% 71.59/71.83 % inst_num_in_unprocessed: 169
% 71.59/71.83 % inst_num_of_loops: 1605
% 71.59/71.83 % inst_num_of_learning_restarts: 1
% 71.59/71.83 % inst_num_moves_active_passive: 166
% 71.59/71.83 % inst_lit_activity: 383
% 71.59/71.83 % inst_lit_activity_moves: 0
% 71.59/71.83 % inst_num_tautologies: 24
% 71.59/71.83 % inst_num_prop_implied: 0
% 71.59/71.83 % inst_num_existing_simplified: 1
% 71.59/71.83 % inst_num_eq_res_simplified: 2
% 71.59/71.83 % inst_num_child_elim: 0
% 71.59/71.83 % inst_num_of_dismatching_blockings: 4457
% 71.59/71.83 % inst_num_of_non_proper_insts: 4067
% 71.59/71.83 % inst_num_of_duplicates: 5209
% 71.59/71.83 % inst_inst_num_from_inst_to_res: 0
% 71.59/71.83 % inst_dismatching_checking_time: 0.03
% 71.59/71.83
% 71.59/71.83 % ------ Resolution
% 71.59/71.83
% 71.59/71.83 % res_num_of_clauses: 24997
% 71.59/71.83 % res_num_in_passive: 12781
% 71.59/71.83 % res_num_in_active: 12011
% 71.59/71.83 % res_num_of_loops: 16000
% 71.59/71.83 % res_forward_subset_subsumed: 115
% 71.59/71.83 % res_backward_subset_subsumed: 0
% 71.59/71.83 % res_forward_subsumed: 4101
% 71.59/71.83 % res_backward_subsumed: 0
% 71.59/71.83 % res_forward_subsumption_resolution: 29546
% 71.59/71.83 % res_backward_subsumption_resolution: 0
% 71.59/71.83 % res_clause_to_clause_subsumption: 256741
% 71.59/71.83 % res_orphan_elimination: 0
% 71.59/71.83 % res_tautology_del: 8193
% 71.59/71.83 % res_num_eq_res_simplified: 0
% 71.59/71.83 % res_num_sel_changes: 0
% 71.59/71.83 % res_moves_from_active_to_pass: 0
% 71.59/71.83
% 71.59/71.83 % Status Unsatisfiable
% 71.59/71.83 % SZS status Theorem
% 71.59/71.83 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------