TSTP Solution File: NUM412+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n009.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 : Mon Jul 18 10:57:03 EDT 2022
% Result : Theorem 150.26s 150.51s
% Output : CNFRefutation 150.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 57
% Syntax : Number of formulae : 552 ( 219 unt; 0 def)
% Number of atoms : 1282 ( 25 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1277 ( 547 ~; 493 |; 183 &)
% ( 4 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 34 con; 0-2 aty)
% Number of variables : 541 ( 54 sgn 157 !; 32 ?)
% 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,X2] :
( ( relation(X1)
& function(X1)
& transfinite_sequence(X1)
& ordinal(X2) )
=> transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1)) ),
file('<stdin>',dt_k2_ordinal1) ).
fof(c_0_1,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('<stdin>',t4_subset) ).
fof(c_0_2,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2)
& transfinite_sequence(X2) )
=> ( transfinite_sequence_of(X2,X1)
<=> subset(relation_rng(X2),X1) ) ),
file('<stdin>',d8_ordinal1) ).
fof(c_0_3,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_4,axiom,
! [X1,X2] :
( subset(X1,X2)
=> ! [X3] :
( transfinite_sequence_of(X3,X1)
=> transfinite_sequence_of(X3,X2) ) ),
file('<stdin>',t47_ordinal1) ).
fof(c_0_5,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& transfinite_sequence(X1)
& ordinal(X2) )
=> tseq_dom_restriction(X1,X2) = relation_dom_restriction(X1,X2) ),
file('<stdin>',redefinition_k2_ordinal1) ).
fof(c_0_6,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('<stdin>',t3_subset) ).
fof(c_0_7,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('<stdin>',antisymmetry_r2_hidden) ).
fof(c_0_8,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
file('<stdin>',fc4_funct_1) ).
fof(c_0_9,axiom,
! [X1,X2] :
( ( relation(X1)
& relation_empty_yielding(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& relation_empty_yielding(relation_dom_restriction(X1,X2)) ) ),
file('<stdin>',fc13_relat_1) ).
fof(c_0_10,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('<stdin>',t2_subset) ).
fof(c_0_11,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('<stdin>',dt_k7_relat_1) ).
fof(c_0_12,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('<stdin>',t1_subset) ).
fof(c_0_13,axiom,
! [X1] :
( ( relation(X1)
& relation_non_empty(X1)
& function(X1) )
=> with_non_empty_elements(relation_rng(X1)) ),
file('<stdin>',fc6_funct_1) ).
fof(c_0_14,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_15,axiom,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_rng(X1)) ),
file('<stdin>',fc6_relat_1) ).
fof(c_0_16,axiom,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ( relation(X2)
& function(X2)
& transfinite_sequence(X2) ) ),
file('<stdin>',dt_m1_ordinal1) ).
fof(c_0_17,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_18,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_19,axiom,
! [X1] :
? [X2] : transfinite_sequence_of(X2,X1),
file('<stdin>',existence_m1_ordinal1) ).
fof(c_0_20,axiom,
! [X1] :
( ( epsilon_transitive(X1)
& epsilon_connected(X1) )
=> ordinal(X1) ),
file('<stdin>',cc2_ordinal1) ).
fof(c_0_21,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_rng(X1))
& relation(relation_rng(X1)) ) ),
file('<stdin>',fc8_relat_1) ).
fof(c_0_22,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_23,axiom,
! [X1,X2] : subset(X1,X1),
file('<stdin>',reflexivity_r1_tarski) ).
fof(c_0_24,axiom,
! [X1] :
( empty(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ) ),
file('<stdin>',cc3_ordinal1) ).
fof(c_0_25,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('<stdin>',cc1_relat_1) ).
fof(c_0_26,axiom,
! [X1] :
( ordinal(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1) ) ),
file('<stdin>',cc1_ordinal1) ).
fof(c_0_27,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('<stdin>',cc1_funct_1) ).
fof(c_0_28,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('<stdin>',t6_boole) ).
fof(c_0_29,axiom,
? [X1] :
( ~ empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
file('<stdin>',rc3_ordinal1) ).
fof(c_0_30,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_31,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('<stdin>',rc2_relat_1) ).
fof(c_0_32,axiom,
? [X1] :
( relation(X1)
& relation_non_empty(X1)
& function(X1) ),
file('<stdin>',rc5_funct_1) ).
fof(c_0_33,axiom,
? [X1] :
( relation(X1)
& function(X1)
& transfinite_sequence(X1) ),
file('<stdin>',rc4_ordinal1) ).
fof(c_0_34,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('<stdin>',rc4_funct_1) ).
fof(c_0_35,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('<stdin>',rc3_relat_1) ).
fof(c_0_36,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('<stdin>',rc3_funct_1) ).
fof(c_0_37,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1)
& empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
file('<stdin>',rc2_ordinal1) ).
fof(c_0_38,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('<stdin>',rc2_funct_1) ).
fof(c_0_39,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_40,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('<stdin>',rc1_relat_1) ).
fof(c_0_41,axiom,
? [X1] :
( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
file('<stdin>',rc1_ordinal1) ).
fof(c_0_42,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_43,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('<stdin>',fc4_relat_1) ).
fof(c_0_44,axiom,
( relation(empty_set)
& relation_empty_yielding(empty_set)
& function(empty_set)
& one_to_one(empty_set)
& empty(empty_set)
& epsilon_transitive(empty_set)
& epsilon_connected(empty_set)
& ordinal(empty_set) ),
file('<stdin>',fc2_ordinal1) ).
fof(c_0_45,axiom,
empty(empty_set),
file('<stdin>',fc1_xboole_0) ).
fof(c_0_46,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('<stdin>',fc12_relat_1) ).
fof(c_0_47,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& transfinite_sequence(X1)
& ordinal(X2) )
=> transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1)) ),
c_0_0 ).
fof(c_0_48,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
c_0_1 ).
fof(c_0_49,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2)
& transfinite_sequence(X2) )
=> ( transfinite_sequence_of(X2,X1)
<=> subset(relation_rng(X2),X1) ) ),
c_0_2 ).
fof(c_0_50,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
c_0_3 ).
fof(c_0_51,axiom,
! [X1,X2] :
( subset(X1,X2)
=> ! [X3] :
( transfinite_sequence_of(X3,X1)
=> transfinite_sequence_of(X3,X2) ) ),
c_0_4 ).
fof(c_0_52,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& transfinite_sequence(X1)
& ordinal(X2) )
=> tseq_dom_restriction(X1,X2) = relation_dom_restriction(X1,X2) ),
c_0_5 ).
fof(c_0_53,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
c_0_6 ).
fof(c_0_54,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_55,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
c_0_8 ).
fof(c_0_56,axiom,
! [X1,X2] :
( ( relation(X1)
& relation_empty_yielding(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& relation_empty_yielding(relation_dom_restriction(X1,X2)) ) ),
c_0_9 ).
fof(c_0_57,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
c_0_10 ).
fof(c_0_58,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
c_0_11 ).
fof(c_0_59,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
c_0_12 ).
fof(c_0_60,axiom,
! [X1] :
( ( relation(X1)
& relation_non_empty(X1)
& function(X1) )
=> with_non_empty_elements(relation_rng(X1)) ),
c_0_13 ).
fof(c_0_61,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_14 ).
fof(c_0_62,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_rng(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_63,axiom,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ( relation(X2)
& function(X2)
& transfinite_sequence(X2) ) ),
c_0_16 ).
fof(c_0_64,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
c_0_17 ).
fof(c_0_65,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_18 ).
fof(c_0_66,axiom,
! [X1] :
? [X2] : transfinite_sequence_of(X2,X1),
c_0_19 ).
fof(c_0_67,axiom,
! [X1] :
( ( epsilon_transitive(X1)
& epsilon_connected(X1) )
=> ordinal(X1) ),
c_0_20 ).
fof(c_0_68,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_rng(X1))
& relation(relation_rng(X1)) ) ),
c_0_21 ).
fof(c_0_69,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_22 ).
fof(c_0_70,axiom,
! [X1,X2] : subset(X1,X1),
c_0_23 ).
fof(c_0_71,axiom,
! [X1] :
( empty(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ) ),
c_0_24 ).
fof(c_0_72,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
c_0_25 ).
fof(c_0_73,axiom,
! [X1] :
( ordinal(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1) ) ),
c_0_26 ).
fof(c_0_74,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
c_0_27 ).
fof(c_0_75,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
c_0_28 ).
fof(c_0_76,plain,
? [X1] :
( ~ empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_77,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_78,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_79,axiom,
? [X1] :
( relation(X1)
& relation_non_empty(X1)
& function(X1) ),
c_0_32 ).
fof(c_0_80,axiom,
? [X1] :
( relation(X1)
& function(X1)
& transfinite_sequence(X1) ),
c_0_33 ).
fof(c_0_81,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
c_0_34 ).
fof(c_0_82,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
c_0_35 ).
fof(c_0_83,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
c_0_36 ).
fof(c_0_84,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1)
& empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
c_0_37 ).
fof(c_0_85,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
c_0_38 ).
fof(c_0_86,axiom,
? [X1] : empty(X1),
c_0_39 ).
fof(c_0_87,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
c_0_40 ).
fof(c_0_88,axiom,
? [X1] :
( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
c_0_41 ).
fof(c_0_89,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
c_0_42 ).
fof(c_0_90,axiom,
( empty(empty_set)
& relation(empty_set) ),
c_0_43 ).
fof(c_0_91,axiom,
( relation(empty_set)
& relation_empty_yielding(empty_set)
& function(empty_set)
& one_to_one(empty_set)
& empty(empty_set)
& epsilon_transitive(empty_set)
& epsilon_connected(empty_set)
& ordinal(empty_set) ),
c_0_44 ).
fof(c_0_92,axiom,
empty(empty_set),
c_0_45 ).
fof(c_0_93,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
c_0_46 ).
fof(c_0_94,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ transfinite_sequence(X3)
| ~ ordinal(X4)
| transfinite_sequence_of(tseq_dom_restriction(X3,X4),relation_rng(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_95,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
fof(c_0_96,plain,
! [X3,X4] :
( ( ~ transfinite_sequence_of(X4,X3)
| subset(relation_rng(X4),X3)
| ~ relation(X4)
| ~ function(X4)
| ~ transfinite_sequence(X4) )
& ( ~ subset(relation_rng(X4),X3)
| transfinite_sequence_of(X4,X3)
| ~ relation(X4)
| ~ function(X4)
| ~ transfinite_sequence(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
fof(c_0_97,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_98,plain,
! [X4,X5,X6] :
( ~ subset(X4,X5)
| ~ transfinite_sequence_of(X6,X4)
| transfinite_sequence_of(X6,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
fof(c_0_99,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ transfinite_sequence(X3)
| ~ ordinal(X4)
| tseq_dom_restriction(X3,X4) = relation_dom_restriction(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])]) ).
fof(c_0_100,plain,
! [X3,X4,X5,X6] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X5,X6)
| element(X5,powerset(X6)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
fof(c_0_101,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ in(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).
fof(c_0_102,plain,
! [X3,X4,X5] :
( ( relation(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ function(X3) )
& ( function(relation_dom_restriction(X3,X5))
| ~ relation(X3)
| ~ function(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])]) ).
fof(c_0_103,plain,
! [X3,X4,X5] :
( ( relation(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ relation_empty_yielding(X3) )
& ( relation_empty_yielding(relation_dom_restriction(X3,X5))
| ~ relation(X3)
| ~ relation_empty_yielding(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])]) ).
fof(c_0_104,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).
fof(c_0_105,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
fof(c_0_106,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
fof(c_0_107,plain,
! [X2] :
( ~ relation(X2)
| ~ relation_non_empty(X2)
| ~ function(X2)
| with_non_empty_elements(relation_rng(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).
fof(c_0_108,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_109,plain,
! [X2] :
( empty(X2)
| ~ relation(X2)
| ~ empty(relation_rng(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_110,plain,
! [X3,X4] :
( ( relation(X4)
| ~ transfinite_sequence_of(X4,X3) )
& ( function(X4)
| ~ transfinite_sequence_of(X4,X3) )
& ( transfinite_sequence(X4)
| ~ transfinite_sequence_of(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_111,plain,
! [X2] :
( ( relation(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) )
& ( function(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) )
& ( one_to_one(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
fof(c_0_112,plain,
! [X3] : element(esk2_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_65])]) ).
fof(c_0_113,plain,
! [X3] : transfinite_sequence_of(esk1_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_66])]) ).
fof(c_0_114,plain,
! [X2] :
( ~ epsilon_transitive(X2)
| ~ epsilon_connected(X2)
| ordinal(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])]) ).
fof(c_0_115,plain,
! [X2] :
( ( empty(relation_rng(X2))
| ~ empty(X2) )
& ( relation(relation_rng(X2))
| ~ empty(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
fof(c_0_116,plain,
! [X3,X4] :
( ~ empty(X3)
| X3 = X4
| ~ empty(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])]) ).
fof(c_0_117,plain,
! [X3,X4] : subset(X3,X3),
inference(variable_rename,[status(thm)],[c_0_70]) ).
fof(c_0_118,plain,
! [X2] :
( ( epsilon_transitive(X2)
| ~ empty(X2) )
& ( epsilon_connected(X2)
| ~ empty(X2) )
& ( ordinal(X2)
| ~ empty(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
fof(c_0_119,plain,
! [X2] :
( ~ empty(X2)
| relation(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])]) ).
fof(c_0_120,plain,
! [X2] :
( ( epsilon_transitive(X2)
| ~ ordinal(X2) )
& ( epsilon_connected(X2)
| ~ ordinal(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])]) ).
fof(c_0_121,plain,
! [X2] :
( ~ empty(X2)
| function(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])]) ).
fof(c_0_122,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])]) ).
fof(c_0_123,plain,
( ~ empty(esk12_0)
& epsilon_transitive(esk12_0)
& epsilon_connected(esk12_0)
& ordinal(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_76])]) ).
fof(c_0_124,plain,
~ empty(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_77])]) ).
fof(c_0_125,plain,
( ~ empty(esk9_0)
& relation(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_78])]) ).
fof(c_0_126,plain,
( relation(esk16_0)
& relation_non_empty(esk16_0)
& function(esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_79])]) ).
fof(c_0_127,plain,
( relation(esk15_0)
& function(esk15_0)
& transfinite_sequence(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_80])]) ).
fof(c_0_128,plain,
( relation(esk14_0)
& relation_empty_yielding(esk14_0)
& function(esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_81])]) ).
fof(c_0_129,plain,
( relation(esk13_0)
& relation_empty_yielding(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_82])]) ).
fof(c_0_130,plain,
( relation(esk11_0)
& function(esk11_0)
& one_to_one(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_83])]) ).
fof(c_0_131,plain,
( relation(esk8_0)
& function(esk8_0)
& one_to_one(esk8_0)
& empty(esk8_0)
& epsilon_transitive(esk8_0)
& epsilon_connected(esk8_0)
& ordinal(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_84])]) ).
fof(c_0_132,plain,
( relation(esk7_0)
& empty(esk7_0)
& function(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_85])]) ).
fof(c_0_133,plain,
empty(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_86])]) ).
fof(c_0_134,plain,
( empty(esk5_0)
& relation(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_87])]) ).
fof(c_0_135,plain,
( epsilon_transitive(esk4_0)
& epsilon_connected(esk4_0)
& ordinal(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_88])]) ).
fof(c_0_136,plain,
( relation(esk3_0)
& function(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_89])]) ).
fof(c_0_137,axiom,
( empty(empty_set)
& relation(empty_set) ),
c_0_90 ).
fof(c_0_138,axiom,
( relation(empty_set)
& relation_empty_yielding(empty_set)
& function(empty_set)
& one_to_one(empty_set)
& empty(empty_set)
& epsilon_transitive(empty_set)
& epsilon_connected(empty_set)
& ordinal(empty_set) ),
c_0_91 ).
fof(c_0_139,axiom,
empty(empty_set),
c_0_92 ).
fof(c_0_140,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
c_0_93 ).
cnf(c_0_141,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ ordinal(X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_142,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_143,plain,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_144,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_145,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_146,plain,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence_of(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_147,plain,
( tseq_dom_restriction(X1,X2) = relation_dom_restriction(X1,X2)
| ~ ordinal(X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_148,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_149,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_150,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_151,plain,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_152,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_153,plain,
( relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_154,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_155,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_156,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_157,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_158,plain,
( with_non_empty_elements(relation_rng(X1))
| ~ function(X1)
| ~ relation_non_empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_159,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_160,plain,
( empty(X1)
| ~ empty(relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_161,plain,
( relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_162,plain,
( function(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_163,plain,
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_164,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_165,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_166,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_167,plain,
element(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_168,plain,
transfinite_sequence_of(esk1_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_169,plain,
( ordinal(X1)
| ~ epsilon_connected(X1)
| ~ epsilon_transitive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_170,plain,
( empty(relation_rng(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_171,plain,
( relation(relation_rng(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_172,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_173,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_174,plain,
( epsilon_transitive(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_175,plain,
( epsilon_connected(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_176,plain,
( ordinal(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_177,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_178,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_179,plain,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_180,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_181,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_182,plain,
~ empty(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_183,plain,
~ empty(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_184,plain,
~ empty(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_185,plain,
relation(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_186,plain,
relation_non_empty(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_187,plain,
function(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_188,plain,
relation(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_189,plain,
function(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_190,plain,
transfinite_sequence(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_191,plain,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_192,plain,
relation_empty_yielding(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_193,plain,
function(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_194,plain,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_195,plain,
relation_empty_yielding(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_196,plain,
epsilon_transitive(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_197,plain,
epsilon_connected(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_198,plain,
ordinal(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_199,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_200,plain,
function(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_201,plain,
one_to_one(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_202,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_203,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_204,plain,
function(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_205,plain,
one_to_one(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_206,plain,
empty(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_207,plain,
epsilon_transitive(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_208,plain,
epsilon_connected(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_209,plain,
ordinal(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_210,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_211,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_212,plain,
function(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_213,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_214,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_215,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_216,plain,
epsilon_transitive(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_217,plain,
epsilon_connected(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_218,plain,
ordinal(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_219,plain,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_220,plain,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_221,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_222,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_223,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_224,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_225,plain,
function(empty_set),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_226,plain,
one_to_one(empty_set),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_227,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_228,plain,
epsilon_transitive(empty_set),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_229,plain,
epsilon_connected(empty_set),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_230,plain,
ordinal(empty_set),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_231,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_232,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_233,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_234,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_235,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ ordinal(X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
c_0_141,
[final] ).
cnf(c_0_236,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
c_0_142,
[final] ).
cnf(c_0_237,plain,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),X2) ),
c_0_143,
[final] ).
cnf(c_0_238,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
c_0_144,
[final] ).
cnf(c_0_239,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
c_0_145,
[final] ).
cnf(c_0_240,plain,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence_of(X1,X3)
| ~ subset(X3,X2) ),
c_0_146,
[final] ).
cnf(c_0_241,plain,
( relation_dom_restriction(X1,X2) = tseq_dom_restriction(X1,X2)
| ~ ordinal(X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
c_0_147,
[final] ).
cnf(c_0_242,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
c_0_148,
[final] ).
cnf(c_0_243,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
c_0_149,
[final] ).
cnf(c_0_244,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
c_0_150,
[final] ).
cnf(c_0_245,plain,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
c_0_151,
[final] ).
cnf(c_0_246,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
c_0_152,
[final] ).
cnf(c_0_247,plain,
( relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
c_0_153,
[final] ).
cnf(c_0_248,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
c_0_154,
[final] ).
cnf(c_0_249,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
c_0_155,
[final] ).
cnf(c_0_250,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
c_0_156,
[final] ).
cnf(c_0_251,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
c_0_157,
[final] ).
cnf(c_0_252,plain,
( with_non_empty_elements(relation_rng(X1))
| ~ function(X1)
| ~ relation_non_empty(X1)
| ~ relation(X1) ),
c_0_158,
[final] ).
cnf(c_0_253,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_159,
[final] ).
cnf(c_0_254,plain,
( empty(X1)
| ~ empty(relation_rng(X1))
| ~ relation(X1) ),
c_0_160,
[final] ).
cnf(c_0_255,plain,
( relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
c_0_161,
[final] ).
cnf(c_0_256,plain,
( function(X1)
| ~ transfinite_sequence_of(X1,X2) ),
c_0_162,
[final] ).
cnf(c_0_257,plain,
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X2) ),
c_0_163,
[final] ).
cnf(c_0_258,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_164,
[final] ).
cnf(c_0_259,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_165,
[final] ).
cnf(c_0_260,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_166,
[final] ).
cnf(c_0_261,plain,
element(esk2_1(X1),X1),
c_0_167,
[final] ).
cnf(c_0_262,plain,
transfinite_sequence_of(esk1_1(X1),X1),
c_0_168,
[final] ).
cnf(c_0_263,plain,
( ordinal(X1)
| ~ epsilon_connected(X1)
| ~ epsilon_transitive(X1) ),
c_0_169,
[final] ).
cnf(c_0_264,plain,
( empty(relation_rng(X1))
| ~ empty(X1) ),
c_0_170,
[final] ).
cnf(c_0_265,plain,
( relation(relation_rng(X1))
| ~ empty(X1) ),
c_0_171,
[final] ).
cnf(c_0_266,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_172,
[final] ).
cnf(c_0_267,plain,
subset(X1,X1),
c_0_173,
[final] ).
cnf(c_0_268,plain,
( epsilon_transitive(X1)
| ~ empty(X1) ),
c_0_174,
[final] ).
cnf(c_0_269,plain,
( epsilon_connected(X1)
| ~ empty(X1) ),
c_0_175,
[final] ).
cnf(c_0_270,plain,
( ordinal(X1)
| ~ empty(X1) ),
c_0_176,
[final] ).
cnf(c_0_271,plain,
( relation(X1)
| ~ empty(X1) ),
c_0_177,
[final] ).
cnf(c_0_272,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
c_0_178,
[final] ).
cnf(c_0_273,plain,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
c_0_179,
[final] ).
cnf(c_0_274,plain,
( function(X1)
| ~ empty(X1) ),
c_0_180,
[final] ).
cnf(c_0_275,plain,
( X1 = empty_set
| ~ empty(X1) ),
c_0_181,
[final] ).
cnf(c_0_276,plain,
~ empty(esk12_0),
c_0_182,
[final] ).
cnf(c_0_277,plain,
~ empty(esk10_0),
c_0_183,
[final] ).
cnf(c_0_278,plain,
~ empty(esk9_0),
c_0_184,
[final] ).
cnf(c_0_279,plain,
relation(esk16_0),
c_0_185,
[final] ).
cnf(c_0_280,plain,
relation_non_empty(esk16_0),
c_0_186,
[final] ).
cnf(c_0_281,plain,
function(esk16_0),
c_0_187,
[final] ).
cnf(c_0_282,plain,
relation(esk15_0),
c_0_188,
[final] ).
cnf(c_0_283,plain,
function(esk15_0),
c_0_189,
[final] ).
cnf(c_0_284,plain,
transfinite_sequence(esk15_0),
c_0_190,
[final] ).
cnf(c_0_285,plain,
relation(esk14_0),
c_0_191,
[final] ).
cnf(c_0_286,plain,
relation_empty_yielding(esk14_0),
c_0_192,
[final] ).
cnf(c_0_287,plain,
function(esk14_0),
c_0_193,
[final] ).
cnf(c_0_288,plain,
relation(esk13_0),
c_0_194,
[final] ).
cnf(c_0_289,plain,
relation_empty_yielding(esk13_0),
c_0_195,
[final] ).
cnf(c_0_290,plain,
epsilon_transitive(esk12_0),
c_0_196,
[final] ).
cnf(c_0_291,plain,
epsilon_connected(esk12_0),
c_0_197,
[final] ).
cnf(c_0_292,plain,
ordinal(esk12_0),
c_0_198,
[final] ).
cnf(c_0_293,plain,
relation(esk11_0),
c_0_199,
[final] ).
cnf(c_0_294,plain,
function(esk11_0),
c_0_200,
[final] ).
cnf(c_0_295,plain,
one_to_one(esk11_0),
c_0_201,
[final] ).
cnf(c_0_296,plain,
relation(esk9_0),
c_0_202,
[final] ).
cnf(c_0_297,plain,
relation(esk8_0),
c_0_203,
[final] ).
cnf(c_0_298,plain,
function(esk8_0),
c_0_204,
[final] ).
cnf(c_0_299,plain,
one_to_one(esk8_0),
c_0_205,
[final] ).
cnf(c_0_300,plain,
empty(esk8_0),
c_0_206,
[final] ).
cnf(c_0_301,plain,
epsilon_transitive(esk8_0),
c_0_207,
[final] ).
cnf(c_0_302,plain,
epsilon_connected(esk8_0),
c_0_208,
[final] ).
cnf(c_0_303,plain,
ordinal(esk8_0),
c_0_209,
[final] ).
cnf(c_0_304,plain,
relation(esk7_0),
c_0_210,
[final] ).
cnf(c_0_305,plain,
empty(esk7_0),
c_0_211,
[final] ).
cnf(c_0_306,plain,
function(esk7_0),
c_0_212,
[final] ).
cnf(c_0_307,plain,
empty(esk6_0),
c_0_213,
[final] ).
cnf(c_0_308,plain,
empty(esk5_0),
c_0_214,
[final] ).
cnf(c_0_309,plain,
relation(esk5_0),
c_0_215,
[final] ).
cnf(c_0_310,plain,
epsilon_transitive(esk4_0),
c_0_216,
[final] ).
cnf(c_0_311,plain,
epsilon_connected(esk4_0),
c_0_217,
[final] ).
cnf(c_0_312,plain,
ordinal(esk4_0),
c_0_218,
[final] ).
cnf(c_0_313,plain,
relation(esk3_0),
c_0_219,
[final] ).
cnf(c_0_314,plain,
function(esk3_0),
c_0_220,
[final] ).
cnf(c_0_315,plain,
empty(empty_set),
c_0_221,
[final] ).
cnf(c_0_316,plain,
relation(empty_set),
c_0_222,
[final] ).
cnf(c_0_317,plain,
relation(empty_set),
c_0_223,
[final] ).
cnf(c_0_318,plain,
relation_empty_yielding(empty_set),
c_0_224,
[final] ).
cnf(c_0_319,plain,
function(empty_set),
c_0_225,
[final] ).
cnf(c_0_320,plain,
one_to_one(empty_set),
c_0_226,
[final] ).
cnf(c_0_321,plain,
empty(empty_set),
c_0_227,
[final] ).
cnf(c_0_322,plain,
epsilon_transitive(empty_set),
c_0_228,
[final] ).
cnf(c_0_323,plain,
epsilon_connected(empty_set),
c_0_229,
[final] ).
cnf(c_0_324,plain,
ordinal(empty_set),
c_0_230,
[final] ).
cnf(c_0_325,plain,
empty(empty_set),
c_0_231,
[final] ).
cnf(c_0_326,plain,
empty(empty_set),
c_0_232,
[final] ).
cnf(c_0_327,plain,
relation(empty_set),
c_0_233,
[final] ).
cnf(c_0_328,plain,
relation_empty_yielding(empty_set),
c_0_234,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_235_0,axiom,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ ordinal(X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_1,axiom,
( ~ ordinal(X2)
| transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_2,axiom,
( ~ transfinite_sequence(X1)
| ~ ordinal(X2)
| transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_3,axiom,
( ~ function(X1)
| ~ transfinite_sequence(X1)
| ~ ordinal(X2)
| transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_4,axiom,
( ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| ~ ordinal(X2)
| transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_236_0,axiom,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_1,axiom,
( ~ element(X3,powerset(X2))
| element(X1,X2)
| ~ in(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_2,axiom,
( ~ in(X1,X3)
| ~ element(X3,powerset(X2))
| element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_237_0,axiom,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_1,axiom,
( ~ transfinite_sequence(X1)
| transfinite_sequence_of(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_2,axiom,
( ~ function(X1)
| ~ transfinite_sequence(X1)
| transfinite_sequence_of(X1,X2)
| ~ relation(X1)
| ~ subset(relation_rng(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_3,axiom,
( ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| transfinite_sequence_of(X1,X2)
| ~ subset(relation_rng(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_4,axiom,
( ~ subset(relation_rng(X1),X2)
| ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_238_0,axiom,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_1,axiom,
( ~ transfinite_sequence(X1)
| subset(relation_rng(X1),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_2,axiom,
( ~ function(X1)
| ~ transfinite_sequence(X1)
| subset(relation_rng(X1),X2)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_3,axiom,
( ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| subset(relation_rng(X1),X2)
| ~ transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_4,axiom,
( ~ transfinite_sequence_of(X1,X2)
| ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| subset(relation_rng(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_239_0,axiom,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_1,axiom,
( ~ element(X2,powerset(X1))
| ~ empty(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_2,axiom,
( ~ in(X3,X2)
| ~ element(X2,powerset(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_240_0,axiom,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence_of(X1,X3)
| ~ subset(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_1,axiom,
( ~ transfinite_sequence_of(X1,X3)
| transfinite_sequence_of(X1,X2)
| ~ subset(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_2,axiom,
( ~ subset(X3,X2)
| ~ transfinite_sequence_of(X1,X3)
| transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_241_0,axiom,
( relation_dom_restriction(X1,X2) = tseq_dom_restriction(X1,X2)
| ~ ordinal(X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_1,axiom,
( ~ ordinal(X2)
| relation_dom_restriction(X1,X2) = tseq_dom_restriction(X1,X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_2,axiom,
( ~ transfinite_sequence(X1)
| ~ ordinal(X2)
| relation_dom_restriction(X1,X2) = tseq_dom_restriction(X1,X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_3,axiom,
( ~ function(X1)
| ~ transfinite_sequence(X1)
| ~ ordinal(X2)
| relation_dom_restriction(X1,X2) = tseq_dom_restriction(X1,X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_4,axiom,
( ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| ~ ordinal(X2)
| relation_dom_restriction(X1,X2) = tseq_dom_restriction(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_242_0,axiom,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_242_1,axiom,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_243_0,axiom,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_1,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_244_0,axiom,
( relation(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_1,axiom,
( ~ function(X1)
| relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_2,axiom,
( ~ relation(X1)
| ~ function(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_245_0,axiom,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_1,axiom,
( ~ function(X1)
| function(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_2,axiom,
( ~ relation(X1)
| ~ function(X1)
| function(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_246_0,axiom,
( relation(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_1,axiom,
( ~ relation_empty_yielding(X1)
| relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_2,axiom,
( ~ relation(X1)
| ~ relation_empty_yielding(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_247_0,axiom,
( relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_1,axiom,
( ~ relation_empty_yielding(X1)
| relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_2,axiom,
( ~ relation(X1)
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_248_0,axiom,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_1,axiom,
( ~ subset(X1,X2)
| element(X1,powerset(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_249_0,axiom,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_249_1,axiom,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_249_2,axiom,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_250_0,axiom,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_250_1,axiom,
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_251_0,axiom,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_251_1,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_252_0,axiom,
( with_non_empty_elements(relation_rng(X1))
| ~ function(X1)
| ~ relation_non_empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_1,axiom,
( ~ function(X1)
| with_non_empty_elements(relation_rng(X1))
| ~ relation_non_empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_2,axiom,
( ~ relation_non_empty(X1)
| ~ function(X1)
| with_non_empty_elements(relation_rng(X1))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_3,axiom,
( ~ relation(X1)
| ~ relation_non_empty(X1)
| ~ function(X1)
| with_non_empty_elements(relation_rng(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_253_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_253_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_254_0,axiom,
( empty(X1)
| ~ empty(relation_rng(X1))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_254_1,axiom,
( ~ empty(relation_rng(X1))
| empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_254_2,axiom,
( ~ relation(X1)
| ~ empty(relation_rng(X1))
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_255_0,axiom,
( relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_255_1,axiom,
( ~ transfinite_sequence_of(X1,X2)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_256_0,axiom,
( function(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_256_1,axiom,
( ~ transfinite_sequence_of(X1,X2)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_257_0,axiom,
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_257_1,axiom,
( ~ transfinite_sequence_of(X1,X2)
| transfinite_sequence(X1) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_258_0,axiom,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_1,axiom,
( ~ function(X1)
| relation(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| relation(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_259_0,axiom,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_1,axiom,
( ~ function(X1)
| function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_260_0,axiom,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_1,axiom,
( ~ function(X1)
| one_to_one(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| one_to_one(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_263_0,axiom,
( ordinal(X1)
| ~ epsilon_connected(X1)
| ~ epsilon_transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_1,axiom,
( ~ epsilon_connected(X1)
| ordinal(X1)
| ~ epsilon_transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_2,axiom,
( ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1)
| ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_264_0,axiom,
( empty(relation_rng(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_1,axiom,
( ~ empty(X1)
| empty(relation_rng(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_265_0,axiom,
( relation(relation_rng(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_265_1,axiom,
( ~ empty(X1)
| relation(relation_rng(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_266_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_266_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_266_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_268_0,axiom,
( epsilon_transitive(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_268_1,axiom,
( ~ empty(X1)
| epsilon_transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_269_0,axiom,
( epsilon_connected(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_269_1,axiom,
( ~ empty(X1)
| epsilon_connected(X1) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_270_0,axiom,
( ordinal(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_270_1,axiom,
( ~ empty(X1)
| ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_271_0,axiom,
( relation(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_1,axiom,
( ~ empty(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_272_0,axiom,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_1,axiom,
( ~ ordinal(X1)
| epsilon_transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_273_0,axiom,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_1,axiom,
( ~ ordinal(X1)
| epsilon_connected(X1) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_274_0,axiom,
( function(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_1,axiom,
( ~ empty(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_275_0,axiom,
( X1 = empty_set
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_1,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_276_0,axiom,
~ empty(sk1_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_277_0,axiom,
~ empty(sk1_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_278_0,axiom,
~ empty(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_261_0,axiom,
element(sk1_esk2_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_262_0,axiom,
transfinite_sequence_of(sk1_esk1_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_267_0,axiom,
subset(X1,X1),
inference(literals_permutation,[status(thm)],[c_0_267]) ).
cnf(c_0_279_0,axiom,
relation(sk1_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_280_0,axiom,
relation_non_empty(sk1_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_281_0,axiom,
function(sk1_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_282_0,axiom,
relation(sk1_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_283_0,axiom,
function(sk1_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_284_0,axiom,
transfinite_sequence(sk1_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_285_0,axiom,
relation(sk1_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_286_0,axiom,
relation_empty_yielding(sk1_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_287_0,axiom,
function(sk1_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_288_0,axiom,
relation(sk1_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_289_0,axiom,
relation_empty_yielding(sk1_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_290_0,axiom,
epsilon_transitive(sk1_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_291_0,axiom,
epsilon_connected(sk1_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_292_0,axiom,
ordinal(sk1_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_293_0,axiom,
relation(sk1_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_294_0,axiom,
function(sk1_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_295_0,axiom,
one_to_one(sk1_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_296_0,axiom,
relation(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_297_0,axiom,
relation(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_298_0,axiom,
function(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_299_0,axiom,
one_to_one(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_300_0,axiom,
empty(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_301_0,axiom,
epsilon_transitive(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_302_0,axiom,
epsilon_connected(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_303_0,axiom,
ordinal(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_304_0,axiom,
relation(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_305_0,axiom,
empty(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_306_0,axiom,
function(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_307_0,axiom,
empty(sk1_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_308_0,axiom,
empty(sk1_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_309_0,axiom,
relation(sk1_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_310_0,axiom,
epsilon_transitive(sk1_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_311_0,axiom,
epsilon_connected(sk1_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_312_0,axiom,
ordinal(sk1_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_313_0,axiom,
relation(sk1_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_314_0,axiom,
function(sk1_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_315_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_316_0,axiom,
relation(empty_set),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_317_0,axiom,
relation(empty_set),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_318_0,axiom,
relation_empty_yielding(empty_set),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_319_0,axiom,
function(empty_set),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_320_0,axiom,
one_to_one(empty_set),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_321_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_322_0,axiom,
epsilon_transitive(empty_set),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_323_0,axiom,
epsilon_connected(empty_set),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_324_0,axiom,
ordinal(empty_set),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_325_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_326_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_327_0,axiom,
relation(empty_set),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_328_0,axiom,
relation_empty_yielding(empty_set),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ! [X3] :
( ordinal(X3)
=> transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
file('<stdin>',t48_ordinal1) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ! [X3] :
( ordinal(X3)
=> transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
( transfinite_sequence_of(esk2_0,esk1_0)
& ordinal(esk3_0)
& ~ transfinite_sequence_of(tseq_dom_restriction(esk2_0,esk3_0),esk1_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,
~ transfinite_sequence_of(tseq_dom_restriction(esk2_0,esk3_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
transfinite_sequence_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
ordinal(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(esk2_0,esk3_0),esk1_0),
c_0_3,
[final] ).
cnf(c_0_7_008,negated_conjecture,
transfinite_sequence_of(esk2_0,esk1_0),
c_0_4,
[final] ).
cnf(c_0_8_009,negated_conjecture,
ordinal(esk3_0),
c_0_5,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_164,negated_conjecture,
transfinite_sequence_of(sk2_esk2_0,sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_7) ).
cnf(c_203,negated_conjecture,
transfinite_sequence_of(sk2_esk2_0,sk2_esk1_0),
inference(copy,[status(esa)],[c_164]) ).
cnf(c_214,negated_conjecture,
transfinite_sequence_of(sk2_esk2_0,sk2_esk1_0),
inference(copy,[status(esa)],[c_203]) ).
cnf(c_217,negated_conjecture,
transfinite_sequence_of(sk2_esk2_0,sk2_esk1_0),
inference(copy,[status(esa)],[c_214]) ).
cnf(c_220,negated_conjecture,
transfinite_sequence_of(sk2_esk2_0,sk2_esk1_0),
inference(copy,[status(esa)],[c_217]) ).
cnf(c_716,plain,
transfinite_sequence_of(sk2_esk2_0,sk2_esk1_0),
inference(copy,[status(esa)],[c_220]) ).
cnf(c_98,plain,
( relation(X0)
| ~ transfinite_sequence_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_255_1) ).
cnf(c_584,plain,
( relation(X0)
| ~ transfinite_sequence_of(X0,X1) ),
inference(copy,[status(esa)],[c_98]) ).
cnf(c_729,plain,
relation(sk2_esk2_0),
inference(resolution,[status(thm)],[c_716,c_584]) ).
cnf(c_734,plain,
relation(sk2_esk2_0),
inference(rewriting,[status(thm)],[c_729]) ).
cnf(c_158,plain,
( transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0))
| ~ ordinal(X1)
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_235_4) ).
cnf(c_704,plain,
( transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0))
| ~ ordinal(X1)
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_158]) ).
cnf(c_705,plain,
( ~ relation(X0)
| ~ ordinal(X1)
| ~ function(X0)
| ~ transfinite_sequence(X0)
| transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0)) ),
inference(rewriting,[status(thm)],[c_704]) ).
cnf(c_752,plain,
( ~ ordinal(X0)
| ~ function(sk2_esk2_0)
| ~ transfinite_sequence(sk2_esk2_0)
| transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,X0),relation_rng(sk2_esk2_0)) ),
inference(resolution,[status(thm)],[c_734,c_705]) ).
cnf(c_767,plain,
( ~ ordinal(X0)
| ~ function(sk2_esk2_0)
| ~ transfinite_sequence(sk2_esk2_0)
| transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,X0),relation_rng(sk2_esk2_0)) ),
inference(rewriting,[status(thm)],[c_752]) ).
cnf(c_94,plain,
( transfinite_sequence(X0)
| ~ transfinite_sequence_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_257_1) ).
cnf(c_576,plain,
( transfinite_sequence(X0)
| ~ transfinite_sequence_of(X0,X1) ),
inference(copy,[status(esa)],[c_94]) ).
cnf(c_731,plain,
transfinite_sequence(sk2_esk2_0),
inference(resolution,[status(thm)],[c_716,c_576]) ).
cnf(c_732,plain,
transfinite_sequence(sk2_esk2_0),
inference(rewriting,[status(thm)],[c_731]) ).
cnf(c_96,plain,
( function(X0)
| ~ transfinite_sequence_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_256_1) ).
cnf(c_580,plain,
( function(X0)
| ~ transfinite_sequence_of(X0,X1) ),
inference(copy,[status(esa)],[c_96]) ).
cnf(c_730,plain,
function(sk2_esk2_0),
inference(resolution,[status(thm)],[c_716,c_580]) ).
cnf(c_733,plain,
function(sk2_esk2_0),
inference(rewriting,[status(thm)],[c_730]) ).
cnf(c_844,plain,
( ~ ordinal(X0)
| transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,X0),relation_rng(sk2_esk2_0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_767,c_732,c_733]) ).
cnf(c_845,plain,
( ~ ordinal(X0)
| transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,X0),relation_rng(sk2_esk2_0)) ),
inference(rewriting,[status(thm)],[c_844]) ).
cnf(c_163,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_6) ).
cnf(c_201,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),
inference(copy,[status(esa)],[c_163]) ).
cnf(c_213,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),
inference(copy,[status(esa)],[c_201]) ).
cnf(c_218,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),
inference(copy,[status(esa)],[c_213]) ).
cnf(c_219,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),
inference(copy,[status(esa)],[c_218]) ).
cnf(c_714,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),
inference(copy,[status(esa)],[c_219]) ).
cnf(c_141,plain,
( ~ subset(X0,X1)
| ~ transfinite_sequence_of(X2,X0)
| transfinite_sequence_of(X2,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_240_0) ).
cnf(c_670,plain,
( ~ subset(X0,X1)
| ~ transfinite_sequence_of(X2,X0)
| transfinite_sequence_of(X2,X1) ),
inference(copy,[status(esa)],[c_141]) ).
cnf(c_738,plain,
( ~ subset(X0,sk2_esk1_0)
| ~ transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,sk2_esk3_0),X0) ),
inference(resolution,[status(thm)],[c_714,c_670]) ).
cnf(c_739,plain,
( ~ subset(X0,sk2_esk1_0)
| ~ transfinite_sequence_of(tseq_dom_restriction(sk2_esk2_0,sk2_esk3_0),X0) ),
inference(rewriting,[status(thm)],[c_738]) ).
cnf(c_856,plain,
( ~ ordinal(sk2_esk3_0)
| ~ subset(relation_rng(sk2_esk2_0),sk2_esk1_0) ),
inference(resolution,[status(thm)],[c_845,c_739]) ).
cnf(c_857,plain,
( ~ ordinal(sk2_esk3_0)
| ~ subset(relation_rng(sk2_esk2_0),sk2_esk1_0) ),
inference(rewriting,[status(thm)],[c_856]) ).
cnf(c_145,plain,
( subset(relation_rng(X0),X1)
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ transfinite_sequence_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_238_4) ).
cnf(c_678,plain,
( subset(relation_rng(X0),X1)
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ transfinite_sequence_of(X0,X1) ),
inference(copy,[status(esa)],[c_145]) ).
cnf(c_679,plain,
( ~ relation(X0)
| ~ function(X0)
| ~ transfinite_sequence(X0)
| subset(relation_rng(X0),X1)
| ~ transfinite_sequence_of(X0,X1) ),
inference(rewriting,[status(thm)],[c_678]) ).
cnf(c_728,plain,
( ~ relation(sk2_esk2_0)
| ~ function(sk2_esk2_0)
| ~ transfinite_sequence(sk2_esk2_0)
| subset(relation_rng(sk2_esk2_0),sk2_esk1_0) ),
inference(resolution,[status(thm)],[c_716,c_679]) ).
cnf(c_735,plain,
( ~ relation(sk2_esk2_0)
| ~ function(sk2_esk2_0)
| ~ transfinite_sequence(sk2_esk2_0)
| subset(relation_rng(sk2_esk2_0),sk2_esk1_0) ),
inference(rewriting,[status(thm)],[c_728]) ).
cnf(c_778,plain,
subset(relation_rng(sk2_esk2_0),sk2_esk1_0),
inference(forward_subsumption_resolution,[status(thm)],[c_735,c_732,c_733,c_734]) ).
cnf(c_779,plain,
subset(relation_rng(sk2_esk2_0),sk2_esk1_0),
inference(rewriting,[status(thm)],[c_778]) ).
cnf(c_165,negated_conjecture,
ordinal(sk2_esk3_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p',c_0_8) ).
cnf(c_205,negated_conjecture,
ordinal(sk2_esk3_0),
inference(copy,[status(esa)],[c_165]) ).
cnf(c_215,negated_conjecture,
ordinal(sk2_esk3_0),
inference(copy,[status(esa)],[c_205]) ).
cnf(c_216,negated_conjecture,
ordinal(sk2_esk3_0),
inference(copy,[status(esa)],[c_215]) ).
cnf(c_221,negated_conjecture,
ordinal(sk2_esk3_0),
inference(copy,[status(esa)],[c_216]) ).
cnf(c_718,plain,
ordinal(sk2_esk3_0),
inference(copy,[status(esa)],[c_221]) ).
cnf(c_876,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_857,c_779,c_718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n009.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 : Wed Jul 6 19:07:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.12/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.40 % FOF problem with conjecture
% 0.20/0.40 % 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_7d4d40.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_eb10bb | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 0.20/0.43 % --inst_prop_sim_new false
% 0.20/0.43 % --inst_orphan_elimination true
% 0.20/0.43 % --inst_learning_loop_flag true
% 0.20/0.43 % --inst_learning_start 3000
% 0.20/0.43 % --inst_learning_factor 2
% 0.20/0.43 % --inst_start_prop_sim_after_learn 3
% 0.20/0.43 % --inst_sel_renew solver
% 0.20/0.43 % --inst_lit_activity_flag true
% 0.20/0.43 % --inst_out_proof true
% 0.20/0.43
% 0.20/0.43 % ------ Resolution Options
% 0.20/0.43
% 0.20/0.43 % --resolution_flag true
% 0.20/0.43 % --res_lit_sel kbo_max
% 0.20/0.43 % --res_to_prop_solver none
% 0.20/0.43 % --res_prop_simpl_new false
% 0.20/0.43 % --res_prop_simpl_given false
% 0.20/0.43 % --res_passive_queue_type priority_queues
% 0.20/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43 % --res_passive_queues_freq [15;5]
% 0.20/0.43 % --res_forward_subs full
% 0.20/0.43 % --res_backward_subs full
% 0.20/0.43 % --res_forward_subs_resolution true
% 0.20/0.43 % --res_backward_subs_resolution true
% 0.20/0.43 % --res_orphan_elimination false
% 0.20/0.43 % --res_time_limit 1000.
% 0.20/0.43 % --res_out_proof true
% 0.20/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7d4d40.s
% 0.20/0.43 % --modulo true
% 0.20/0.43
% 0.20/0.43 % ------ Combination Options
% 0.20/0.43
% 0.20/0.43 % --comb_res_mult 1000
% 0.20/0.43 % --comb_inst_mult 300
% 0.20/0.43 % ------
% 0.20/0.43
% 0.20/0.43 % ------ Parsing...% successful
% 0.20/0.43
% 0.20/0.43 % ------ 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 %
% 0.20/0.43
% 0.20/0.43 % ------ Proving...
% 0.20/0.43 % ------ Problem Properties
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % EPR false
% 0.20/0.43 % Horn false
% 0.20/0.43 % Has equality true
% 0.20/0.43
% 0.20/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % % ------ Current options:
% 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
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 150.23/150.42 % --inst_prop_sim_new false
% 150.23/150.42 % --inst_orphan_elimination true
% 150.23/150.42 % --inst_learning_loop_flag true
% 150.23/150.42 % --inst_learning_start 3000
% 150.23/150.42 % --inst_learning_factor 2
% 150.23/150.42 % --inst_start_prop_sim_after_learn 3
% 150.23/150.42 % --inst_sel_renew solver
% 150.23/150.42 % --inst_lit_activity_flag true
% 150.23/150.42 % --inst_out_proof true
% 150.23/150.42
% 150.23/150.42 % ------ Resolution Options
% 150.23/150.42
% 150.23/150.42 % --resolution_flag true
% 150.23/150.42 % --res_lit_sel kbo_max
% 150.23/150.42 % --res_to_prop_solver none
% 150.23/150.42 % --res_prop_simpl_new false
% 150.23/150.42 % --res_prop_simpl_given false
% 150.23/150.42 % --res_passive_queue_type priority_queues
% 150.23/150.42 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.23/150.42 % --res_passive_queues_freq [15;5]
% 150.23/150.42 % --res_forward_subs full
% 150.23/150.42 % --res_backward_subs full
% 150.23/150.42 % --res_forward_subs_resolution true
% 150.23/150.42 % --res_backward_subs_resolution true
% 150.23/150.42 % --res_orphan_elimination false
% 150.23/150.42 % --res_time_limit 1000.
% 150.23/150.42 % --res_out_proof true
% 150.23/150.42 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7d4d40.s
% 150.23/150.42 % --modulo true
% 150.23/150.42
% 150.23/150.42 % ------ Combination Options
% 150.23/150.42
% 150.23/150.42 % --comb_res_mult 1000
% 150.23/150.42 % --comb_inst_mult 300
% 150.23/150.42 % ------
% 150.23/150.42
% 150.23/150.42
% 150.23/150.42
% 150.23/150.42 % ------ Proving...
% 150.23/150.42 %
% 150.23/150.42
% 150.23/150.42
% 150.23/150.42 % Time Out Real
% 150.23/150.42
% 150.23/150.42 % ------ Statistics
% 150.23/150.42
% 150.23/150.42 % ------ General
% 150.23/150.42
% 150.23/150.42 % num_of_input_clauses: 127
% 150.23/150.42 % num_of_input_neg_conjectures: 3
% 150.23/150.42 % num_of_splits: 0
% 150.23/150.42 % num_of_split_atoms: 0
% 150.23/150.42 % num_of_sem_filtered_clauses: 0
% 150.23/150.42 % num_of_subtypes: 0
% 150.23/150.42 % monotx_restored_types: 0
% 150.23/150.42 % sat_num_of_epr_types: 0
% 150.23/150.42 % sat_num_of_non_cyclic_types: 0
% 150.23/150.42 % sat_guarded_non_collapsed_types: 0
% 150.23/150.42 % is_epr: 0
% 150.23/150.42 % is_horn: 0
% 150.23/150.42 % has_eq: 1
% 150.23/150.42 % num_pure_diseq_elim: 0
% 150.23/150.42 % simp_replaced_by: 0
% 150.23/150.42 % res_preprocessed: 6
% 150.23/150.42 % prep_upred: 0
% 150.23/150.42 % prep_unflattend: 0
% 150.23/150.42 % pred_elim_cands: 0
% 150.23/150.42 % pred_elim: 0
% 150.23/150.42 % pred_elim_cl: 0
% 150.23/150.42 % pred_elim_cycles: 0
% 150.23/150.42 % forced_gc_time: 0
% 150.23/150.42 % gc_basic_clause_elim: 0
% 150.23/150.42 % parsing_time: 0.002
% 150.23/150.42 % sem_filter_time: 0.
% 150.23/150.42 % pred_elim_time: 0.
% 150.23/150.42 % out_proof_time: 0.
% 150.23/150.42 % monotx_time: 0.
% 150.23/150.42 % subtype_inf_time: 0.
% 150.23/150.42 % unif_index_cands_time: 0.001
% 150.23/150.42 % unif_index_add_time: 0.135
% 150.23/150.42 % total_time: 150.014
% 150.23/150.42 % num_of_symbols: 64
% 150.23/150.42 % num_of_terms: 5955
% 150.23/150.42
% 150.23/150.42 % ------ Propositional Solver
% 150.23/150.42
% 150.23/150.42 % prop_solver_calls: 9
% 150.23/150.42 % prop_fast_solver_calls: 9
% 150.23/150.42 % prop_num_of_clauses: 364
% 150.23/150.42 % prop_preprocess_simplified: 777
% 150.23/150.42 % prop_fo_subsumed: 0
% 150.23/150.42 % prop_solver_time: 0.
% 150.23/150.42 % prop_fast_solver_time: 0.
% 150.23/150.42 % prop_unsat_core_time: 0.
% 150.23/150.42
% 150.23/150.42 % ------ QBF
% 150.23/150.42
% 150.23/150.42 % qbf_q_res: 0
% 150.23/150.42 % qbf_num_tautologies: 0
% 150.23/150.42 % qbf_prep_cycles: 0
% 150.23/150.42
% 150.23/150.42 % ------ BMC1
% 150.23/150.42
% 150.23/150.42 % bmc1_current_bound: -1
% 150.23/150.42 % bmc1_last_solved_bound: -1
% 150.23/150.42 % bmc1_unsat_core_size: -1
% 150.23/150.42 % bmc1_unsat_core_parents_size: -1
% 150.23/150.42 % bmc1_merge_next_fun: 0
% 150.23/150.42 % bmc1_unsat_core_clauses_time: 0.
% 150.23/150.42
% 150.23/150.42 % ------ Instantiation
% 150.23/150.42
% 150.23/150.42 % inst_num_of_clauses: 293
% 150.23/150.42 % inst_num_in_passive: 15
% 150.23/150.42 % inst_num_in_active: 249
% 150.23/150.42 % inst_num_in_unprocessed: 17
% 150.23/150.42 % inst_num_of_loops: 300
% 150.26/150.42 % inst_num_of_learning_restarts: 0
% 150.26/150.42 % inst_num_moves_active_passive: 33
% 150.26/150.42 % inst_lit_activity: 36
% 150.26/150.42 % inst_lit_activity_moves: 0
% 150.26/150.42 % inst_num_tautologies: 12
% 150.26/150.42 % inst_num_prop_implied: 0
% 150.26/150.42 % inst_num_existing_simplified: 0
% 150.26/150.42 % inst_num_eq_res_simplified: 0
% 150.26/150.42 % inst_num_child_elim: 0
% 150.26/150.42 % inst_num_of_dismatching_blockings: 0
% 150.26/150.42 % inst_num_of_non_proper_insts: 234
% 150.26/150.42 % inst_num_of_duplicates: 93
% 150.26/150.42 % inst_inst_num_from_inst_to_res: 0
% 150.26/150.42 % inst_dismatching_checking_time: 0.
% 150.26/150.42
% 150.26/150.42 % ------ Resolution
% 150.26/150.42
% 150.26/150.42 % res_num_of_clauses: 1453
% 150.26/150.42 % res_num_in_passive: 0
% 150.26/150.42 % res_num_in_active: 1403
% 150.26/150.42 % res_num_of_loops: 1318
% 150.26/150.42 % res_forward_subset_subsumed: 30
% 150.26/150.42 % res_backward_subset_subsumed: 1
% 150.26/150.42 % res_forward_subsumed: 0
% 150.26/150.42 % res_backward_subsumed: 0
% 150.26/150.42 % res_forward_subsumption_resolution: 0
% 150.26/150.42 % res_backward_subsumption_resolution: 0
% 150.26/150.42 % res_clause_to_clause_subsumption: 1
% 150.26/150.42 % res_orphan_elimination: 0
% 150.26/150.42 % res_tautology_del: 8
% 150.26/150.42 % res_num_eq_res_simplified: 0
% 150.26/150.42 % res_num_sel_changes: 0
% 150.26/150.42 % res_moves_from_active_to_pass: 0
% 150.26/150.42
% 150.26/150.42 % Status Unknown
% 150.26/150.46 % Orienting using strategy ClausalAll
% 150.26/150.46 % FOF problem with conjecture
% 150.26/150.46 % 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_7d4d40.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_26c9fa.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a8bd8b | grep -v "SZS"
% 150.26/150.49
% 150.26/150.49 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.26/150.49
% 150.26/150.49 %
% 150.26/150.49 % ------ iProver source info
% 150.26/150.49
% 150.26/150.49 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.26/150.49 % git: non_committed_changes: true
% 150.26/150.49 % git: last_make_outside_of_git: true
% 150.26/150.49
% 150.26/150.49 %
% 150.26/150.49 % ------ Input Options
% 150.26/150.49
% 150.26/150.49 % --out_options all
% 150.26/150.49 % --tptp_safe_out true
% 150.26/150.49 % --problem_path ""
% 150.26/150.49 % --include_path ""
% 150.26/150.49 % --clausifier .//eprover
% 150.26/150.49 % --clausifier_options --tstp-format
% 150.26/150.49 % --stdin false
% 150.26/150.49 % --dbg_backtrace false
% 150.26/150.49 % --dbg_dump_prop_clauses false
% 150.26/150.49 % --dbg_dump_prop_clauses_file -
% 150.26/150.49 % --dbg_out_stat false
% 150.26/150.49
% 150.26/150.49 % ------ General Options
% 150.26/150.49
% 150.26/150.49 % --fof false
% 150.26/150.49 % --time_out_real 150.
% 150.26/150.49 % --time_out_prep_mult 0.2
% 150.26/150.49 % --time_out_virtual -1.
% 150.26/150.49 % --schedule none
% 150.26/150.49 % --ground_splitting input
% 150.26/150.49 % --splitting_nvd 16
% 150.26/150.49 % --non_eq_to_eq false
% 150.26/150.49 % --prep_gs_sim true
% 150.26/150.49 % --prep_unflatten false
% 150.26/150.49 % --prep_res_sim true
% 150.26/150.49 % --prep_upred true
% 150.26/150.49 % --res_sim_input true
% 150.26/150.49 % --clause_weak_htbl true
% 150.26/150.49 % --gc_record_bc_elim false
% 150.26/150.49 % --symbol_type_check false
% 150.26/150.49 % --clausify_out false
% 150.26/150.49 % --large_theory_mode false
% 150.26/150.49 % --prep_sem_filter none
% 150.26/150.49 % --prep_sem_filter_out false
% 150.26/150.49 % --preprocessed_out false
% 150.26/150.49 % --sub_typing false
% 150.26/150.49 % --brand_transform false
% 150.26/150.49 % --pure_diseq_elim true
% 150.26/150.49 % --min_unsat_core false
% 150.26/150.49 % --pred_elim true
% 150.26/150.49 % --add_important_lit false
% 150.26/150.49 % --soft_assumptions false
% 150.26/150.49 % --reset_solvers false
% 150.26/150.49 % --bc_imp_inh []
% 150.26/150.49 % --conj_cone_tolerance 1.5
% 150.26/150.49 % --prolific_symb_bound 500
% 150.26/150.49 % --lt_threshold 2000
% 150.26/150.49
% 150.26/150.49 % ------ SAT Options
% 150.26/150.49
% 150.26/150.49 % --sat_mode false
% 150.26/150.49 % --sat_fm_restart_options ""
% 150.26/150.49 % --sat_gr_def false
% 150.26/150.49 % --sat_epr_types true
% 150.26/150.49 % --sat_non_cyclic_types false
% 150.26/150.49 % --sat_finite_models false
% 150.26/150.49 % --sat_fm_lemmas false
% 150.26/150.49 % --sat_fm_prep false
% 150.26/150.49 % --sat_fm_uc_incr true
% 150.26/150.49 % --sat_out_model small
% 150.26/150.49 % --sat_out_clauses false
% 150.26/150.49
% 150.26/150.49 % ------ QBF Options
% 150.26/150.49
% 150.26/150.49 % --qbf_mode false
% 150.26/150.49 % --qbf_elim_univ true
% 150.26/150.49 % --qbf_sk_in true
% 150.26/150.49 % --qbf_pred_elim true
% 150.26/150.49 % --qbf_split 32
% 150.26/150.49
% 150.26/150.49 % ------ BMC1 Options
% 150.26/150.49
% 150.26/150.49 % --bmc1_incremental false
% 150.26/150.49 % --bmc1_axioms reachable_all
% 150.26/150.49 % --bmc1_min_bound 0
% 150.26/150.49 % --bmc1_max_bound -1
% 150.26/150.49 % --bmc1_max_bound_default -1
% 150.26/150.49 % --bmc1_symbol_reachability true
% 150.26/150.49 % --bmc1_property_lemmas false
% 150.26/150.49 % --bmc1_k_induction false
% 150.26/150.49 % --bmc1_non_equiv_states false
% 150.26/150.49 % --bmc1_deadlock false
% 150.26/150.49 % --bmc1_ucm false
% 150.26/150.49 % --bmc1_add_unsat_core none
% 150.26/150.49 % --bmc1_unsat_core_children false
% 150.26/150.49 % --bmc1_unsat_core_extrapolate_axioms false
% 150.26/150.49 % --bmc1_out_stat full
% 150.26/150.49 % --bmc1_ground_init false
% 150.26/150.49 % --bmc1_pre_inst_next_state false
% 150.26/150.49 % --bmc1_pre_inst_state false
% 150.26/150.49 % --bmc1_pre_inst_reach_state false
% 150.26/150.49 % --bmc1_out_unsat_core false
% 150.26/150.49 % --bmc1_aig_witness_out false
% 150.26/150.49 % --bmc1_verbose false
% 150.26/150.49 % --bmc1_dump_clauses_tptp false
% 150.26/150.50 % --bmc1_dump_unsat_core_tptp false
% 150.26/150.50 % --bmc1_dump_file -
% 150.26/150.50 % --bmc1_ucm_expand_uc_limit 128
% 150.26/150.50 % --bmc1_ucm_n_expand_iterations 6
% 150.26/150.50 % --bmc1_ucm_extend_mode 1
% 150.26/150.50 % --bmc1_ucm_init_mode 2
% 150.26/150.50 % --bmc1_ucm_cone_mode none
% 150.26/150.50 % --bmc1_ucm_reduced_relation_type 0
% 150.26/150.50 % --bmc1_ucm_relax_model 4
% 150.26/150.50 % --bmc1_ucm_full_tr_after_sat true
% 150.26/150.50 % --bmc1_ucm_expand_neg_assumptions false
% 150.26/150.50 % --bmc1_ucm_layered_model none
% 150.26/150.50 % --bmc1_ucm_max_lemma_size 10
% 150.26/150.50
% 150.26/150.50 % ------ AIG Options
% 150.26/150.50
% 150.26/150.50 % --aig_mode false
% 150.26/150.50
% 150.26/150.50 % ------ Instantiation Options
% 150.26/150.50
% 150.26/150.50 % --instantiation_flag true
% 150.26/150.50 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.26/150.50 % --inst_solver_per_active 750
% 150.26/150.50 % --inst_solver_calls_frac 0.5
% 150.26/150.50 % --inst_passive_queue_type priority_queues
% 150.26/150.50 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.26/150.50 % --inst_passive_queues_freq [25;2]
% 150.26/150.50 % --inst_dismatching true
% 150.26/150.50 % --inst_eager_unprocessed_to_passive true
% 150.26/150.50 % --inst_prop_sim_given true
% 150.26/150.50 % --inst_prop_sim_new false
% 150.26/150.50 % --inst_orphan_elimination true
% 150.26/150.50 % --inst_learning_loop_flag true
% 150.26/150.50 % --inst_learning_start 3000
% 150.26/150.50 % --inst_learning_factor 2
% 150.26/150.50 % --inst_start_prop_sim_after_learn 3
% 150.26/150.50 % --inst_sel_renew solver
% 150.26/150.50 % --inst_lit_activity_flag true
% 150.26/150.50 % --inst_out_proof true
% 150.26/150.50
% 150.26/150.50 % ------ Resolution Options
% 150.26/150.50
% 150.26/150.50 % --resolution_flag true
% 150.26/150.50 % --res_lit_sel kbo_max
% 150.26/150.50 % --res_to_prop_solver none
% 150.26/150.50 % --res_prop_simpl_new false
% 150.26/150.50 % --res_prop_simpl_given false
% 150.26/150.50 % --res_passive_queue_type priority_queues
% 150.26/150.50 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.26/150.50 % --res_passive_queues_freq [15;5]
% 150.26/150.50 % --res_forward_subs full
% 150.26/150.50 % --res_backward_subs full
% 150.26/150.50 % --res_forward_subs_resolution true
% 150.26/150.50 % --res_backward_subs_resolution true
% 150.26/150.50 % --res_orphan_elimination false
% 150.26/150.50 % --res_time_limit 1000.
% 150.26/150.50 % --res_out_proof true
% 150.26/150.50 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7d4d40.s
% 150.26/150.50 % --modulo true
% 150.26/150.50
% 150.26/150.50 % ------ Combination Options
% 150.26/150.50
% 150.26/150.50 % --comb_res_mult 1000
% 150.26/150.50 % --comb_inst_mult 300
% 150.26/150.50 % ------
% 150.26/150.50
% 150.26/150.50 % ------ Parsing...% successful
% 150.26/150.50
% 150.26/150.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.26/150.50
% 150.26/150.50 % ------ Proving...
% 150.26/150.50 % ------ Problem Properties
% 150.26/150.50
% 150.26/150.50 %
% 150.26/150.50 % EPR false
% 150.26/150.50 % Horn false
% 150.26/150.50 % Has equality true
% 150.26/150.50
% 150.26/150.50 % % ------ Input Options Time Limit: Unbounded
% 150.26/150.50
% 150.26/150.50
% 150.26/150.50 % % ------ Current options:
% 150.26/150.50
% 150.26/150.50 % ------ Input Options
% 150.26/150.50
% 150.26/150.50 % --out_options all
% 150.26/150.50 % --tptp_safe_out true
% 150.26/150.50 % --problem_path ""
% 150.26/150.50 % --include_path ""
% 150.26/150.50 % --clausifier .//eprover
% 150.26/150.50 % --clausifier_options --tstp-format
% 150.26/150.50 % --stdin false
% 150.26/150.50 % --dbg_backtrace false
% 150.26/150.50 % --dbg_dump_prop_clauses false
% 150.26/150.50 % --dbg_dump_prop_clauses_file -
% 150.26/150.50 % --dbg_out_stat false
% 150.26/150.50
% 150.26/150.50 % ------ General Options
% 150.26/150.50
% 150.26/150.50 % --fof false
% 150.26/150.50 % --time_out_real 150.
% 150.26/150.50 % --time_out_prep_mult 0.2
% 150.26/150.50 % --time_out_virtual -1.
% 150.26/150.50 % --schedule none
% 150.26/150.50 % --ground_splitting input
% 150.26/150.50 % --splitting_nvd 16
% 150.26/150.50 % --non_eq_to_eq false
% 150.26/150.50 % --prep_gs_sim true
% 150.26/150.50 % --prep_unflatten false
% 150.26/150.50 % --prep_res_sim true
% 150.26/150.50 % --prep_upred true
% 150.26/150.50 % --res_sim_input true
% 150.26/150.50 % --clause_weak_htbl true
% 150.26/150.50 % --gc_record_bc_elim false
% 150.26/150.50 % --symbol_type_check false
% 150.26/150.50 % --clausify_out false
% 150.26/150.50 % --large_theory_mode false
% 150.26/150.50 % --prep_sem_filter none
% 150.26/150.50 % --prep_sem_filter_out false
% 150.26/150.50 % --preprocessed_out false
% 150.26/150.50 % --sub_typing false
% 150.26/150.50 % --brand_transform false
% 150.26/150.50 % --pure_diseq_elim true
% 150.26/150.50 % --min_unsat_core false
% 150.26/150.50 % --pred_elim true
% 150.26/150.50 % --add_important_lit false
% 150.26/150.50 % --soft_assumptions false
% 150.26/150.50 % --reset_solvers false
% 150.26/150.50 % --bc_imp_inh []
% 150.26/150.50 % --conj_cone_tolerance 1.5
% 150.26/150.50 % --prolific_symb_bound 500
% 150.26/150.50 % --lt_threshold 2000
% 150.26/150.50
% 150.26/150.50 % ------ SAT Options
% 150.26/150.50
% 150.26/150.50 % --sat_mode false
% 150.26/150.50 % --sat_fm_restart_options ""
% 150.26/150.50 % --sat_gr_def false
% 150.26/150.50 % --sat_epr_types true
% 150.26/150.50 % --sat_non_cyclic_types false
% 150.26/150.50 % --sat_finite_models false
% 150.26/150.50 % --sat_fm_lemmas false
% 150.26/150.50 % --sat_fm_prep false
% 150.26/150.50 % --sat_fm_uc_incr true
% 150.26/150.50 % --sat_out_model small
% 150.26/150.50 % --sat_out_clauses false
% 150.26/150.50
% 150.26/150.50 % ------ QBF Options
% 150.26/150.50
% 150.26/150.50 % --qbf_mode false
% 150.26/150.50 % --qbf_elim_univ true
% 150.26/150.50 % --qbf_sk_in true
% 150.26/150.50 % --qbf_pred_elim true
% 150.26/150.50 % --qbf_split 32
% 150.26/150.50
% 150.26/150.50 % ------ BMC1 Options
% 150.26/150.50
% 150.26/150.50 % --bmc1_incremental false
% 150.26/150.50 % --bmc1_axioms reachable_all
% 150.26/150.50 % --bmc1_min_bound 0
% 150.26/150.50 % --bmc1_max_bound -1
% 150.26/150.50 % --bmc1_max_bound_default -1
% 150.26/150.50 % --bmc1_symbol_reachability true
% 150.26/150.50 % --bmc1_property_lemmas false
% 150.26/150.50 % --bmc1_k_induction false
% 150.26/150.50 % --bmc1_non_equiv_states false
% 150.26/150.50 % --bmc1_deadlock false
% 150.26/150.50 % --bmc1_ucm false
% 150.26/150.50 % --bmc1_add_unsat_core none
% 150.26/150.50 % --bmc1_unsat_core_children false
% 150.26/150.50 % --bmc1_unsat_core_extrapolate_axioms false
% 150.26/150.50 % --bmc1_out_stat full
% 150.26/150.50 % --bmc1_ground_init false
% 150.26/150.50 % --bmc1_pre_inst_next_state false
% 150.26/150.50 % --bmc1_pre_inst_state false
% 150.26/150.50 % --bmc1_pre_inst_reach_state false
% 150.26/150.50 % --bmc1_out_unsat_core false
% 150.26/150.50 % --bmc1_aig_witness_out false
% 150.26/150.50 % --bmc1_verbose false
% 150.26/150.50 % --bmc1_dump_clauses_tptp false
% 150.26/150.50 % --bmc1_dump_unsat_core_tptp false
% 150.26/150.50 % --bmc1_dump_file -
% 150.26/150.50 % --bmc1_ucm_expand_uc_limit 128
% 150.26/150.50 % --bmc1_ucm_n_expand_iterations 6
% 150.26/150.50 % --bmc1_ucm_extend_mode 1
% 150.26/150.50 % --bmc1_ucm_init_mode 2
% 150.26/150.50 % --bmc1_ucm_cone_mode none
% 150.26/150.50 % --bmc1_ucm_reduced_relation_type 0
% 150.26/150.50 % --bmc1_ucm_relax_model 4
% 150.26/150.50 % --bmc1_ucm_full_tr_after_sat true
% 150.26/150.50 % --bmc1_ucm_expand_neg_assumptions false
% 150.26/150.50 % --bmc1_ucm_layered_model none
% 150.26/150.50 % --bmc1_ucm_max_lemma_size 10
% 150.26/150.50
% 150.26/150.50 % ------ AIG Options
% 150.26/150.50
% 150.26/150.50 % --aig_mode false
% 150.26/150.50
% 150.26/150.50 % ------ Instantiation Options
% 150.26/150.50
% 150.26/150.50 % --instantiation_flag true
% 150.26/150.50 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.26/150.50 % --inst_solver_per_active 750
% 150.26/150.50 % --inst_solver_calls_frac 0.5
% 150.26/150.50 % --inst_passive_queue_type priority_queues
% 150.26/150.50 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.26/150.50 % --inst_passive_queues_freq [25;2]
% 150.26/150.50 % --inst_dismatching true
% 150.26/150.50 % --inst_eager_unprocessed_to_passive true
% 150.26/150.50 % --inst_prop_sim_given true
% 150.26/150.50 % --inst_prop_sim_new false
% 150.26/150.50 % --inst_orphan_elimination true
% 150.26/150.50 % --inst_learning_loop_flag true
% 150.26/150.50 % --inst_learning_start 3000
% 150.26/150.50 % --inst_learning_factor 2
% 150.26/150.50 % --inst_start_prop_sim_after_learn 3
% 150.26/150.50 % --inst_sel_renew solver
% 150.26/150.50 % --inst_lit_activity_flag true
% 150.26/150.50 % --inst_out_proof true
% 150.26/150.50
% 150.26/150.50 % ------ Resolution Options
% 150.26/150.50
% 150.26/150.50 % --resolution_flag true
% 150.26/150.50 % --res_lit_sel kbo_max
% 150.26/150.50 % --res_to_prop_solver none
% 150.26/150.50 % --res_prop_simpl_new false
% 150.26/150.50 % --res_prop_simpl_given false
% 150.26/150.50 % --res_passive_queue_type priority_queues
% 150.26/150.50 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.26/150.50 % --res_passive_queues_freq [15;5]
% 150.26/150.50 % --res_forward_subs full
% 150.26/150.50 % --res_backward_subs full
% 150.26/150.50 % --res_forward_subs_resolution true
% 150.26/150.50 % --res_backward_subs_resolution true
% 150.26/150.50 % --res_orphan_elimination false
% 150.26/150.50 % --res_time_limit 1000.
% 150.26/150.50 % --res_out_proof true
% 150.26/150.50 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7d4d40.s
% 150.26/150.50 % --modulo true
% 150.26/150.50
% 150.26/150.50 % ------ Combination Options
% 150.26/150.50
% 150.26/150.50 % --comb_res_mult 1000
% 150.26/150.50 % --comb_inst_mult 300
% 150.26/150.50 % ------
% 150.26/150.50
% 150.26/150.50
% 150.26/150.50
% 150.26/150.50 % ------ Proving...
% 150.26/150.50 %
% 150.26/150.50
% 150.26/150.50
% 150.26/150.50 % Resolution empty clause
% 150.26/150.50
% 150.26/150.50 % ------ Statistics
% 150.26/150.50
% 150.26/150.50 % ------ General
% 150.26/150.50
% 150.26/150.50 % num_of_input_clauses: 166
% 150.26/150.50 % num_of_input_neg_conjectures: 3
% 150.26/150.50 % num_of_splits: 0
% 150.26/150.50 % num_of_split_atoms: 0
% 150.26/150.50 % num_of_sem_filtered_clauses: 0
% 150.26/150.50 % num_of_subtypes: 0
% 150.26/150.50 % monotx_restored_types: 0
% 150.26/150.50 % sat_num_of_epr_types: 0
% 150.26/150.50 % sat_num_of_non_cyclic_types: 0
% 150.26/150.50 % sat_guarded_non_collapsed_types: 0
% 150.26/150.50 % is_epr: 0
% 150.26/150.50 % is_horn: 0
% 150.26/150.50 % has_eq: 1
% 150.26/150.50 % num_pure_diseq_elim: 0
% 150.26/150.50 % simp_replaced_by: 0
% 150.26/150.50 % res_preprocessed: 6
% 150.26/150.50 % prep_upred: 0
% 150.26/150.50 % prep_unflattend: 0
% 150.26/150.50 % pred_elim_cands: 0
% 150.26/150.50 % pred_elim: 0
% 150.26/150.50 % pred_elim_cl: 0
% 150.26/150.50 % pred_elim_cycles: 0
% 150.26/150.50 % forced_gc_time: 0
% 150.26/150.50 % gc_basic_clause_elim: 0
% 150.26/150.50 % parsing_time: 0.004
% 150.26/150.50 % sem_filter_time: 0.
% 150.26/150.50 % pred_elim_time: 0.
% 150.26/150.50 % out_proof_time: 0.001
% 150.26/150.50 % monotx_time: 0.
% 150.26/150.50 % subtype_inf_time: 0.
% 150.26/150.50 % unif_index_cands_time: 0.
% 150.26/150.50 % unif_index_add_time: 0.
% 150.26/150.50 % total_time: 0.032
% 150.26/150.50 % num_of_symbols: 64
% 150.26/150.50 % num_of_terms: 301
% 150.26/150.50
% 150.26/150.50 % ------ Propositional Solver
% 150.26/150.50
% 150.26/150.50 % prop_solver_calls: 1
% 150.26/150.50 % prop_fast_solver_calls: 9
% 150.26/150.50 % prop_num_of_clauses: 128
% 150.26/150.50 % prop_preprocess_simplified: 448
% 150.26/150.50 % prop_fo_subsumed: 0
% 150.26/150.50 % prop_solver_time: 0.
% 150.26/150.50 % prop_fast_solver_time: 0.
% 150.26/150.50 % prop_unsat_core_time: 0.
% 150.26/150.50
% 150.26/150.50 % ------ QBF
% 150.26/150.50
% 150.26/150.50 % qbf_q_res: 0
% 150.26/150.50 % qbf_num_tautologies: 0
% 150.26/150.50 % qbf_prep_cycles: 0
% 150.26/150.50
% 150.26/150.50 % ------ BMC1
% 150.26/150.50
% 150.26/150.50 % bmc1_current_bound: -1
% 150.26/150.50 % bmc1_last_solved_bound: -1
% 150.26/150.50 % bmc1_unsat_core_size: -1
% 150.26/150.50 % bmc1_unsat_core_parents_size: -1
% 150.26/150.50 % bmc1_merge_next_fun: 0
% 150.26/150.50 % bmc1_unsat_core_clauses_time: 0.
% 150.26/150.50
% 150.26/150.50 % ------ Instantiation
% 150.26/150.50
% 150.26/150.50 % inst_num_of_clauses: 159
% 150.26/150.50 % inst_num_in_passive: 0
% 150.26/150.50 % inst_num_in_active: 0
% 150.26/150.50 % inst_num_in_unprocessed: 166
% 150.26/150.50 % inst_num_of_loops: 0
% 150.26/150.51 % inst_num_of_learning_restarts: 0
% 150.26/150.51 % inst_num_moves_active_passive: 0
% 150.26/150.51 % inst_lit_activity: 0
% 150.26/150.51 % inst_lit_activity_moves: 0
% 150.26/150.51 % inst_num_tautologies: 0
% 150.26/150.51 % inst_num_prop_implied: 0
% 150.26/150.51 % inst_num_existing_simplified: 0
% 150.26/150.51 % inst_num_eq_res_simplified: 0
% 150.26/150.51 % inst_num_child_elim: 0
% 150.26/150.51 % inst_num_of_dismatching_blockings: 0
% 150.26/150.51 % inst_num_of_non_proper_insts: 0
% 150.26/150.51 % inst_num_of_duplicates: 0
% 150.26/150.51 % inst_inst_num_from_inst_to_res: 0
% 150.26/150.51 % inst_dismatching_checking_time: 0.
% 150.26/150.51
% 150.26/150.51 % ------ Resolution
% 150.26/150.51
% 150.26/150.51 % res_num_of_clauses: 201
% 150.26/150.51 % res_num_in_passive: 16
% 150.26/150.51 % res_num_in_active: 106
% 150.26/150.51 % res_num_of_loops: 21
% 150.26/150.51 % res_forward_subset_subsumed: 72
% 150.26/150.51 % res_backward_subset_subsumed: 0
% 150.26/150.51 % res_forward_subsumed: 0
% 150.26/150.51 % res_backward_subsumed: 0
% 150.26/150.51 % res_forward_subsumption_resolution: 12
% 150.26/150.51 % res_backward_subsumption_resolution: 0
% 150.26/150.51 % res_clause_to_clause_subsumption: 25
% 150.26/150.51 % res_orphan_elimination: 0
% 150.26/150.51 % res_tautology_del: 8
% 150.26/150.51 % res_num_eq_res_simplified: 0
% 150.26/150.51 % res_num_sel_changes: 0
% 150.26/150.51 % res_moves_from_active_to_pass: 0
% 150.26/150.51
% 150.26/150.51 % Status Unsatisfiable
% 150.26/150.51 % SZS status Theorem
% 150.26/150.51 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------