TSTP Solution File: NUM405+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n012.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 10:57:00 EDT 2022
% Result : Theorem 12.56s 12.73s
% Output : CNFRefutation 12.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 39
% Syntax : Number of formulae : 380 ( 166 unt; 0 def)
% Number of atoms : 759 ( 15 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 633 ( 254 ~; 222 |; 131 &)
% ( 4 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 29 con; 0-1 aty)
% Number of variables : 267 ( 12 sgn 71 !; 30 ?)
% 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] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& ordinal(X3) ) ),
file('<stdin>',s1_xboole_0__e2_43__ordinal1) ).
fof(c_0_1,axiom,
! [X1] :
~ ! [X2] :
( in(X2,X1)
<=> ordinal(X2) ),
file('<stdin>',t37_ordinal1) ).
fof(c_0_2,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('<stdin>',antisymmetry_r2_hidden) ).
fof(c_0_3,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('<stdin>',t2_subset) ).
fof(c_0_4,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('<stdin>',t1_subset) ).
fof(c_0_5,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_6,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_7,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_8,axiom,
! [X1] :
( ( epsilon_transitive(X1)
& epsilon_connected(X1) )
=> ordinal(X1) ),
file('<stdin>',cc2_ordinal1) ).
fof(c_0_9,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_10,axiom,
! [X1] :
( empty(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ) ),
file('<stdin>',cc3_ordinal1) ).
fof(c_0_11,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('<stdin>',cc1_relat_1) ).
fof(c_0_12,axiom,
! [X1] :
( ordinal(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1) ) ),
file('<stdin>',cc1_ordinal1) ).
fof(c_0_13,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('<stdin>',cc1_funct_1) ).
fof(c_0_14,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('<stdin>',t6_boole) ).
fof(c_0_15,axiom,
? [X1] :
( ~ empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
file('<stdin>',rc3_ordinal1) ).
fof(c_0_16,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_17,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('<stdin>',rc2_relat_1) ).
fof(c_0_18,axiom,
? [X1] :
( relation(X1)
& relation_non_empty(X1)
& function(X1) ),
file('<stdin>',rc5_funct_1) ).
fof(c_0_19,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('<stdin>',rc4_funct_1) ).
fof(c_0_20,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('<stdin>',rc3_relat_1) ).
fof(c_0_21,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('<stdin>',rc3_funct_1) ).
fof(c_0_22,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_23,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('<stdin>',rc2_funct_1) ).
fof(c_0_24,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_25,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('<stdin>',rc1_relat_1) ).
fof(c_0_26,axiom,
? [X1] :
( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
file('<stdin>',rc1_ordinal1) ).
fof(c_0_27,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_28,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('<stdin>',fc4_relat_1) ).
fof(c_0_29,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_30,axiom,
empty(empty_set),
file('<stdin>',fc1_xboole_0) ).
fof(c_0_31,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('<stdin>',fc12_relat_1) ).
fof(c_0_32,axiom,
! [X1] :
? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& ordinal(X3) ) ),
c_0_0 ).
fof(c_0_33,axiom,
! [X1] :
~ ! [X2] :
( in(X2,X1)
<=> ordinal(X2) ),
c_0_1 ).
fof(c_0_34,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_35,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
c_0_3 ).
fof(c_0_36,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
c_0_4 ).
fof(c_0_37,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_5 ).
fof(c_0_38,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
c_0_6 ).
fof(c_0_39,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_7 ).
fof(c_0_40,axiom,
! [X1] :
( ( epsilon_transitive(X1)
& epsilon_connected(X1) )
=> ordinal(X1) ),
c_0_8 ).
fof(c_0_41,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_9 ).
fof(c_0_42,axiom,
! [X1] :
( empty(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ) ),
c_0_10 ).
fof(c_0_43,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
c_0_11 ).
fof(c_0_44,axiom,
! [X1] :
( ordinal(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1) ) ),
c_0_12 ).
fof(c_0_45,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
c_0_13 ).
fof(c_0_46,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
c_0_14 ).
fof(c_0_47,plain,
? [X1] :
( ~ empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_48,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_49,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_50,axiom,
? [X1] :
( relation(X1)
& relation_non_empty(X1)
& function(X1) ),
c_0_18 ).
fof(c_0_51,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
c_0_19 ).
fof(c_0_52,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
c_0_20 ).
fof(c_0_53,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
c_0_21 ).
fof(c_0_54,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1)
& empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
c_0_22 ).
fof(c_0_55,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
c_0_23 ).
fof(c_0_56,axiom,
? [X1] : empty(X1),
c_0_24 ).
fof(c_0_57,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
c_0_25 ).
fof(c_0_58,axiom,
? [X1] :
( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
c_0_26 ).
fof(c_0_59,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
c_0_27 ).
fof(c_0_60,axiom,
( empty(empty_set)
& relation(empty_set) ),
c_0_28 ).
fof(c_0_61,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_29 ).
fof(c_0_62,axiom,
empty(empty_set),
c_0_30 ).
fof(c_0_63,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
c_0_31 ).
fof(c_0_64,plain,
! [X4,X6,X7] :
( ( in(X6,X4)
| ~ in(X6,esk15_1(X4)) )
& ( ordinal(X6)
| ~ in(X6,esk15_1(X4)) )
& ( ~ in(X7,X4)
| ~ ordinal(X7)
| in(X7,esk15_1(X4)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])])]) ).
fof(c_0_65,plain,
! [X3] :
( ( ~ in(esk16_1(X3),X3)
| ~ ordinal(esk16_1(X3)) )
& ( in(esk16_1(X3),X3)
| ordinal(esk16_1(X3)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_66,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ in(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
fof(c_0_67,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_68,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
fof(c_0_69,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
fof(c_0_70,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_38])])]) ).
fof(c_0_71,plain,
! [X3] : element(esk1_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])]) ).
fof(c_0_72,plain,
! [X2] :
( ~ epsilon_transitive(X2)
| ~ epsilon_connected(X2)
| ordinal(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
fof(c_0_73,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_41])])])]) ).
fof(c_0_74,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_42])])]) ).
fof(c_0_75,plain,
! [X2] :
( ~ empty(X2)
| relation(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
fof(c_0_76,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_44])])]) ).
fof(c_0_77,plain,
! [X2] :
( ~ empty(X2)
| function(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_78,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_79,plain,
( ~ empty(esk11_0)
& epsilon_transitive(esk11_0)
& epsilon_connected(esk11_0)
& ordinal(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_47])]) ).
fof(c_0_80,plain,
~ empty(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
fof(c_0_81,plain,
( ~ empty(esk8_0)
& relation(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_49])]) ).
fof(c_0_82,plain,
( relation(esk14_0)
& relation_non_empty(esk14_0)
& function(esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_50])]) ).
fof(c_0_83,plain,
( relation(esk13_0)
& relation_empty_yielding(esk13_0)
& function(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_51])]) ).
fof(c_0_84,plain,
( relation(esk12_0)
& relation_empty_yielding(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_52])]) ).
fof(c_0_85,plain,
( relation(esk10_0)
& function(esk10_0)
& one_to_one(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_53])]) ).
fof(c_0_86,plain,
( relation(esk7_0)
& function(esk7_0)
& one_to_one(esk7_0)
& empty(esk7_0)
& epsilon_transitive(esk7_0)
& epsilon_connected(esk7_0)
& ordinal(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_54])]) ).
fof(c_0_87,plain,
( relation(esk6_0)
& empty(esk6_0)
& function(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_55])]) ).
fof(c_0_88,plain,
empty(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_56])]) ).
fof(c_0_89,plain,
( empty(esk4_0)
& relation(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_57])]) ).
fof(c_0_90,plain,
( epsilon_transitive(esk3_0)
& epsilon_connected(esk3_0)
& ordinal(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_58])]) ).
fof(c_0_91,plain,
( relation(esk2_0)
& function(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_59])]) ).
fof(c_0_92,axiom,
( empty(empty_set)
& relation(empty_set) ),
c_0_60 ).
fof(c_0_93,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_61 ).
fof(c_0_94,axiom,
empty(empty_set),
c_0_62 ).
fof(c_0_95,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
c_0_63 ).
cnf(c_0_96,plain,
( in(X1,esk15_1(X2))
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_97,plain,
( ~ ordinal(esk16_1(X1))
| ~ in(esk16_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_98,plain,
( in(X1,X2)
| ~ in(X1,esk15_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_99,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_101,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_102,plain,
( ordinal(X1)
| ~ in(X1,esk15_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_103,plain,
( ordinal(esk16_1(X1))
| in(esk16_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_104,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_105,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_106,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_107,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_108,plain,
element(esk1_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_109,plain,
( ordinal(X1)
| ~ epsilon_connected(X1)
| ~ epsilon_transitive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_110,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_111,plain,
( epsilon_transitive(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_112,plain,
( epsilon_connected(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_113,plain,
( ordinal(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_114,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_115,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_116,plain,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_117,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_118,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_119,plain,
~ empty(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_120,plain,
~ empty(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_121,plain,
~ empty(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_122,plain,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_123,plain,
relation_non_empty(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_124,plain,
function(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_125,plain,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_126,plain,
relation_empty_yielding(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_127,plain,
function(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_128,plain,
relation(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_129,plain,
relation_empty_yielding(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_130,plain,
epsilon_transitive(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_131,plain,
epsilon_connected(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_132,plain,
ordinal(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_133,plain,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_134,plain,
function(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_135,plain,
one_to_one(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_136,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_137,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_138,plain,
function(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_139,plain,
one_to_one(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_140,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_141,plain,
epsilon_transitive(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_142,plain,
epsilon_connected(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_143,plain,
ordinal(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_144,plain,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_145,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_146,plain,
function(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_147,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_148,plain,
empty(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_149,plain,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_150,plain,
epsilon_transitive(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_151,plain,
epsilon_connected(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_152,plain,
ordinal(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_153,plain,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_154,plain,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_155,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_156,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_157,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_158,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_159,plain,
function(empty_set),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_160,plain,
one_to_one(empty_set),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_161,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_162,plain,
epsilon_transitive(empty_set),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_163,plain,
epsilon_connected(empty_set),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_164,plain,
ordinal(empty_set),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_165,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_166,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_167,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_168,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_169,plain,
( in(X1,esk15_1(X2))
| ~ ordinal(X1)
| ~ in(X1,X2) ),
c_0_96,
[final] ).
cnf(c_0_170,plain,
( ~ ordinal(esk16_1(X1))
| ~ in(esk16_1(X1),X1) ),
c_0_97,
[final] ).
cnf(c_0_171,plain,
( in(X1,X2)
| ~ in(X1,esk15_1(X2)) ),
c_0_98,
[final] ).
cnf(c_0_172,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
c_0_99,
[final] ).
cnf(c_0_173,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
c_0_100,
[final] ).
cnf(c_0_174,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
c_0_101,
[final] ).
cnf(c_0_175,plain,
( ordinal(X1)
| ~ in(X1,esk15_1(X2)) ),
c_0_102,
[final] ).
cnf(c_0_176,plain,
( ordinal(esk16_1(X1))
| in(esk16_1(X1),X1) ),
c_0_103,
[final] ).
cnf(c_0_177,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_104,
[final] ).
cnf(c_0_178,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_105,
[final] ).
cnf(c_0_179,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_106,
[final] ).
cnf(c_0_180,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_107,
[final] ).
cnf(c_0_181,plain,
element(esk1_1(X1),X1),
c_0_108,
[final] ).
cnf(c_0_182,plain,
( ordinal(X1)
| ~ epsilon_connected(X1)
| ~ epsilon_transitive(X1) ),
c_0_109,
[final] ).
cnf(c_0_183,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_110,
[final] ).
cnf(c_0_184,plain,
( epsilon_transitive(X1)
| ~ empty(X1) ),
c_0_111,
[final] ).
cnf(c_0_185,plain,
( epsilon_connected(X1)
| ~ empty(X1) ),
c_0_112,
[final] ).
cnf(c_0_186,plain,
( ordinal(X1)
| ~ empty(X1) ),
c_0_113,
[final] ).
cnf(c_0_187,plain,
( relation(X1)
| ~ empty(X1) ),
c_0_114,
[final] ).
cnf(c_0_188,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
c_0_115,
[final] ).
cnf(c_0_189,plain,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
c_0_116,
[final] ).
cnf(c_0_190,plain,
( function(X1)
| ~ empty(X1) ),
c_0_117,
[final] ).
cnf(c_0_191,plain,
( X1 = empty_set
| ~ empty(X1) ),
c_0_118,
[final] ).
cnf(c_0_192,plain,
~ empty(esk11_0),
c_0_119,
[final] ).
cnf(c_0_193,plain,
~ empty(esk9_0),
c_0_120,
[final] ).
cnf(c_0_194,plain,
~ empty(esk8_0),
c_0_121,
[final] ).
cnf(c_0_195,plain,
relation(esk14_0),
c_0_122,
[final] ).
cnf(c_0_196,plain,
relation_non_empty(esk14_0),
c_0_123,
[final] ).
cnf(c_0_197,plain,
function(esk14_0),
c_0_124,
[final] ).
cnf(c_0_198,plain,
relation(esk13_0),
c_0_125,
[final] ).
cnf(c_0_199,plain,
relation_empty_yielding(esk13_0),
c_0_126,
[final] ).
cnf(c_0_200,plain,
function(esk13_0),
c_0_127,
[final] ).
cnf(c_0_201,plain,
relation(esk12_0),
c_0_128,
[final] ).
cnf(c_0_202,plain,
relation_empty_yielding(esk12_0),
c_0_129,
[final] ).
cnf(c_0_203,plain,
epsilon_transitive(esk11_0),
c_0_130,
[final] ).
cnf(c_0_204,plain,
epsilon_connected(esk11_0),
c_0_131,
[final] ).
cnf(c_0_205,plain,
ordinal(esk11_0),
c_0_132,
[final] ).
cnf(c_0_206,plain,
relation(esk10_0),
c_0_133,
[final] ).
cnf(c_0_207,plain,
function(esk10_0),
c_0_134,
[final] ).
cnf(c_0_208,plain,
one_to_one(esk10_0),
c_0_135,
[final] ).
cnf(c_0_209,plain,
relation(esk8_0),
c_0_136,
[final] ).
cnf(c_0_210,plain,
relation(esk7_0),
c_0_137,
[final] ).
cnf(c_0_211,plain,
function(esk7_0),
c_0_138,
[final] ).
cnf(c_0_212,plain,
one_to_one(esk7_0),
c_0_139,
[final] ).
cnf(c_0_213,plain,
empty(esk7_0),
c_0_140,
[final] ).
cnf(c_0_214,plain,
epsilon_transitive(esk7_0),
c_0_141,
[final] ).
cnf(c_0_215,plain,
epsilon_connected(esk7_0),
c_0_142,
[final] ).
cnf(c_0_216,plain,
ordinal(esk7_0),
c_0_143,
[final] ).
cnf(c_0_217,plain,
relation(esk6_0),
c_0_144,
[final] ).
cnf(c_0_218,plain,
empty(esk6_0),
c_0_145,
[final] ).
cnf(c_0_219,plain,
function(esk6_0),
c_0_146,
[final] ).
cnf(c_0_220,plain,
empty(esk5_0),
c_0_147,
[final] ).
cnf(c_0_221,plain,
empty(esk4_0),
c_0_148,
[final] ).
cnf(c_0_222,plain,
relation(esk4_0),
c_0_149,
[final] ).
cnf(c_0_223,plain,
epsilon_transitive(esk3_0),
c_0_150,
[final] ).
cnf(c_0_224,plain,
epsilon_connected(esk3_0),
c_0_151,
[final] ).
cnf(c_0_225,plain,
ordinal(esk3_0),
c_0_152,
[final] ).
cnf(c_0_226,plain,
relation(esk2_0),
c_0_153,
[final] ).
cnf(c_0_227,plain,
function(esk2_0),
c_0_154,
[final] ).
cnf(c_0_228,plain,
empty(empty_set),
c_0_155,
[final] ).
cnf(c_0_229,plain,
relation(empty_set),
c_0_156,
[final] ).
cnf(c_0_230,plain,
relation(empty_set),
c_0_157,
[final] ).
cnf(c_0_231,plain,
relation_empty_yielding(empty_set),
c_0_158,
[final] ).
cnf(c_0_232,plain,
function(empty_set),
c_0_159,
[final] ).
cnf(c_0_233,plain,
one_to_one(empty_set),
c_0_160,
[final] ).
cnf(c_0_234,plain,
empty(empty_set),
c_0_161,
[final] ).
cnf(c_0_235,plain,
epsilon_transitive(empty_set),
c_0_162,
[final] ).
cnf(c_0_236,plain,
epsilon_connected(empty_set),
c_0_163,
[final] ).
cnf(c_0_237,plain,
ordinal(empty_set),
c_0_164,
[final] ).
cnf(c_0_238,plain,
empty(empty_set),
c_0_165,
[final] ).
cnf(c_0_239,plain,
empty(empty_set),
c_0_166,
[final] ).
cnf(c_0_240,plain,
relation(empty_set),
c_0_167,
[final] ).
cnf(c_0_241,plain,
relation_empty_yielding(empty_set),
c_0_168,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_169_0,axiom,
( in(X1,sk1_esk15_1(X2))
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_1,axiom,
( ~ ordinal(X1)
| in(X1,sk1_esk15_1(X2))
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_2,axiom,
( ~ in(X1,X2)
| ~ ordinal(X1)
| in(X1,sk1_esk15_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
( ~ ordinal(sk1_esk16_1(X1))
| ~ in(sk1_esk16_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_1,axiom,
( ~ in(sk1_esk16_1(X1),X1)
| ~ ordinal(sk1_esk16_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_171_0,axiom,
( in(X1,X2)
| ~ in(X1,sk1_esk15_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_1,axiom,
( ~ in(X1,sk1_esk15_1(X2))
| in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_172_0,axiom,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_173_0,axiom,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_2,axiom,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_0,axiom,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_175_0,axiom,
( ordinal(X1)
| ~ in(X1,sk1_esk15_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_1,axiom,
( ~ in(X1,sk1_esk15_1(X2))
| ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_176_0,axiom,
( ordinal(sk1_esk16_1(X1))
| in(sk1_esk16_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_1,axiom,
( in(sk1_esk16_1(X1),X1)
| ordinal(sk1_esk16_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_177_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_178_0,axiom,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_1,axiom,
( ~ function(X1)
| relation(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| relation(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_179_0,axiom,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_1,axiom,
( ~ function(X1)
| function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_180_0,axiom,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_1,axiom,
( ~ function(X1)
| one_to_one(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| one_to_one(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_182_0,axiom,
( ordinal(X1)
| ~ epsilon_connected(X1)
| ~ epsilon_transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_1,axiom,
( ~ epsilon_connected(X1)
| ordinal(X1)
| ~ epsilon_transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_2,axiom,
( ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1)
| ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_183_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_184_0,axiom,
( epsilon_transitive(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_1,axiom,
( ~ empty(X1)
| epsilon_transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_185_0,axiom,
( epsilon_connected(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_1,axiom,
( ~ empty(X1)
| epsilon_connected(X1) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_186_0,axiom,
( ordinal(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_1,axiom,
( ~ empty(X1)
| ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_187_0,axiom,
( relation(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_1,axiom,
( ~ empty(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_188_0,axiom,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_1,axiom,
( ~ ordinal(X1)
| epsilon_transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_189_0,axiom,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_1,axiom,
( ~ ordinal(X1)
| epsilon_connected(X1) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_190_0,axiom,
( function(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_1,axiom,
( ~ empty(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_191_0,axiom,
( X1 = empty_set
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_1,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_192_0,axiom,
~ empty(sk1_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_193_0,axiom,
~ empty(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_194_0,axiom,
~ empty(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_181_0,axiom,
element(sk1_esk1_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_195_0,axiom,
relation(sk1_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_196_0,axiom,
relation_non_empty(sk1_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_197_0,axiom,
function(sk1_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_198_0,axiom,
relation(sk1_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_199_0,axiom,
relation_empty_yielding(sk1_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_200_0,axiom,
function(sk1_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_201_0,axiom,
relation(sk1_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_202_0,axiom,
relation_empty_yielding(sk1_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_203_0,axiom,
epsilon_transitive(sk1_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_204_0,axiom,
epsilon_connected(sk1_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_205_0,axiom,
ordinal(sk1_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_206_0,axiom,
relation(sk1_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_207_0,axiom,
function(sk1_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_208_0,axiom,
one_to_one(sk1_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_209_0,axiom,
relation(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_210_0,axiom,
relation(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_211_0,axiom,
function(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_212_0,axiom,
one_to_one(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_213_0,axiom,
empty(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_214_0,axiom,
epsilon_transitive(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_215_0,axiom,
epsilon_connected(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_216_0,axiom,
ordinal(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_217_0,axiom,
relation(sk1_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_218_0,axiom,
empty(sk1_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_219_0,axiom,
function(sk1_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_220_0,axiom,
empty(sk1_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_221_0,axiom,
empty(sk1_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_222_0,axiom,
relation(sk1_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_223_0,axiom,
epsilon_transitive(sk1_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_224_0,axiom,
epsilon_connected(sk1_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_225_0,axiom,
ordinal(sk1_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_226_0,axiom,
relation(sk1_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_227_0,axiom,
function(sk1_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_228_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_229_0,axiom,
relation(empty_set),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_230_0,axiom,
relation(empty_set),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_231_0,axiom,
relation_empty_yielding(empty_set),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_232_0,axiom,
function(empty_set),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_233_0,axiom,
one_to_one(empty_set),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_234_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_235_0,axiom,
epsilon_transitive(empty_set),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_236_0,axiom,
epsilon_connected(empty_set),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_237_0,axiom,
ordinal(empty_set),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_238_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_239_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_240_0,axiom,
relation(empty_set),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_241_0,axiom,
relation_empty_yielding(empty_set),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
~ ! [X2] :
( ordinal(X2)
=> in(X2,X1) ),
file('<stdin>',t38_ordinal1) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
~ ! [X2] :
( ordinal(X2)
=> in(X2,X1) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
! [X4] :
( ~ ordinal(X4)
| in(X4,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,
( in(X1,esk1_0)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
( in(X1,esk1_0)
| ~ ordinal(X1) ),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_90,plain,
( ~ in(X0,sk1_esk15_1(X1))
| ordinal(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p',c_0_175_0) ).
cnf(c_222,plain,
( ~ in(X0,sk1_esk15_1(X1))
| ordinal(X0) ),
inference(copy,[status(esa)],[c_90]) ).
cnf(c_36970,plain,
( ordinal(sk1_esk16_1(X0))
| ~ in(sk1_esk16_1(X0),sk1_esk15_1(X1)) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_37129,plain,
( ordinal(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)))
| ~ in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk1_esk15_1(X0)) ),
inference(instantiation,[status(thm)],[c_36970]) ).
cnf(c_37393,plain,
( ordinal(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)))
| ~ in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk1_esk15_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_37129]) ).
cnf(c_99,plain,
( ~ in(X0,sk1_esk15_1(X1))
| in(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p',c_0_171_0) ).
cnf(c_231,plain,
( ~ in(X0,sk1_esk15_1(X1))
| in(X0,X1) ),
inference(copy,[status(esa)],[c_99]) ).
cnf(c_37033,plain,
( ~ in(X0,sk1_esk15_1(sk2_esk1_0))
| in(X0,sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_231]) ).
cnf(c_37213,plain,
( ~ in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk1_esk15_1(sk2_esk1_0))
| in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_37033]) ).
cnf(c_105,negated_conjecture,
( ~ ordinal(X0)
| in(X0,sk2_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p',c_0_4) ).
cnf(c_125,negated_conjecture,
( ~ ordinal(X0)
| in(X0,sk2_esk1_0) ),
inference(copy,[status(esa)],[c_105]) ).
cnf(c_129,negated_conjecture,
( ~ ordinal(X0)
| in(X0,sk2_esk1_0) ),
inference(copy,[status(esa)],[c_125]) ).
cnf(c_130,negated_conjecture,
( ~ ordinal(X0)
| in(X0,sk2_esk1_0) ),
inference(copy,[status(esa)],[c_129]) ).
cnf(c_131,negated_conjecture,
( ~ ordinal(X0)
| in(X0,sk2_esk1_0) ),
inference(copy,[status(esa)],[c_130]) ).
cnf(c_237,negated_conjecture,
( ~ ordinal(X0)
| in(X0,sk2_esk1_0) ),
inference(copy,[status(esa)],[c_131]) ).
cnf(c_37215,plain,
( ~ ordinal(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)))
| in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_237]) ).
cnf(c_88,plain,
( in(sk1_esk16_1(X0),X0)
| ordinal(sk1_esk16_1(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p',c_0_176_0) ).
cnf(c_220,plain,
( in(sk1_esk16_1(X0),X0)
| ordinal(sk1_esk16_1(X0)) ),
inference(copy,[status(esa)],[c_88]) ).
cnf(c_36991,plain,
( ordinal(sk1_esk16_1(sk1_esk15_1(X0)))
| in(sk1_esk16_1(sk1_esk15_1(X0)),sk1_esk15_1(X0)) ),
inference(instantiation,[status(thm)],[c_220]) ).
cnf(c_37139,plain,
( ordinal(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)))
| in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk1_esk15_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_36991]) ).
cnf(c_102,plain,
( in(X0,sk1_esk15_1(X1))
| ~ ordinal(X0)
| ~ in(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p',c_0_169_2) ).
cnf(c_234,plain,
( in(X0,sk1_esk15_1(X1))
| ~ ordinal(X0)
| ~ in(X0,X1) ),
inference(copy,[status(esa)],[c_102]) ).
cnf(c_36997,plain,
( ~ ordinal(X0)
| in(X0,sk1_esk15_1(sk2_esk1_0))
| ~ in(X0,sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_37047,plain,
( ~ ordinal(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)))
| in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk1_esk15_1(sk2_esk1_0))
| ~ in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_36997]) ).
cnf(c_100,plain,
( ~ ordinal(sk1_esk16_1(X0))
| ~ in(sk1_esk16_1(X0),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p',c_0_170_1) ).
cnf(c_232,plain,
( ~ ordinal(sk1_esk16_1(X0))
| ~ in(sk1_esk16_1(X0),X0) ),
inference(copy,[status(esa)],[c_100]) ).
cnf(c_37046,plain,
( ~ ordinal(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)))
| ~ in(sk1_esk16_1(sk1_esk15_1(sk2_esk1_0)),sk1_esk15_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_232]) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_37393,c_37213,c_37215,c_37139,c_37047,c_37046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 12:29:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.13/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.40 % FOF problem with conjecture
% 0.13/0.40 % 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_7c9c88.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a119f4.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_9aef7a | grep -v "SZS"
% 0.20/0.43
% 0.20/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ iProver source info
% 0.20/0.43
% 0.20/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43 % git: non_committed_changes: true
% 0.20/0.43 % git: last_make_outside_of_git: true
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7c9c88.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44 % ------ Parsing...% successful
% 0.20/0.44
% 0.20/0.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % ------ Problem Properties
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % EPR false
% 0.20/0.44 % Horn false
% 0.20/0.44 % Has equality true
% 0.20/0.44
% 0.20/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % % ------ Current options:
% 0.20/0.44
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7c9c88.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % warning: shown sat in sat incomplete mode
% 0.20/0.44 %
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 cnf(c_91,negated_conjecture,
% 0.20/0.44 ( in(X0,sk3_esk1_0) | ~ ordinal(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_4) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_108,negated_conjecture,
% 0.20/0.44 ( in(X0,sk3_esk1_0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_91]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_112,negated_conjecture,
% 0.20/0.44 ( in(X0,sk3_esk1_0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_108]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_113,negated_conjecture,
% 0.20/0.44 ( in(X0,sk3_esk1_0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_112]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_114,negated_conjecture,
% 0.20/0.44 ( in(X0,sk3_esk1_0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_113]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_389,negated_conjecture,
% 0.20/0.44 ( in(X0,sk3_esk1_0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_114]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_90,plain,
% 0.20/0.44 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_95_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_387,plain,
% 0.20/0.44 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_90]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_397,plain,
% 0.20/0.44 ( ~ in(sk3_esk1_0,X0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(resolution,[status(thm)],[c_389,c_387]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_398,plain,
% 0.20/0.44 ( ~ in(sk3_esk1_0,X0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_397]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_413,plain,
% 0.20/0.44 ( ~ ordinal(sk3_esk1_0) ),
% 0.20/0.44 inference(resolution,[status(thm)],[c_398,c_389]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_414,plain,
% 0.20/0.44 ( ~ ordinal(sk3_esk1_0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_413]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_7,plain,
% 0.20/0.44 ( ~ in(X0,sk2_esk2_1(X1)) | ordinal(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_107_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_221,plain,
% 0.20/0.44 ( ~ in(X0,sk2_esk2_1(X1)) | ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_418,plain,
% 0.20/0.44 ( ~ in(sk3_esk1_0,sk2_esk2_1(X0)) ),
% 0.20/0.44 inference(resolution,[status(thm)],[c_414,c_221]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_419,plain,
% 0.20/0.44 ( ~ in(sk3_esk1_0,sk2_esk2_1(X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_418]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_87,plain,
% 0.20/0.44 ( ~ epsilon_transitive(X0) | ~ epsilon_connected(X0) | ordinal(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_98_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_381,plain,
% 0.20/0.44 ( ~ epsilon_transitive(X0) | ~ epsilon_connected(X0) | ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_87]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_382,plain,
% 0.20/0.44 ( ordinal(X0) | ~ epsilon_transitive(X0) | ~ epsilon_connected(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_381]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_417,plain,
% 0.20/0.44 ( ~ epsilon_transitive(sk3_esk1_0) | ~ epsilon_connected(sk3_esk1_0) ),
% 0.20/0.44 inference(resolution,[status(thm)],[c_414,c_382]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_420,plain,
% 0.20/0.44 ( ~ epsilon_transitive(sk3_esk1_0) | ~ epsilon_connected(sk3_esk1_0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_417]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_88,plain,
% 0.20/0.44 ( element(X0,X1) | ~ in(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_97_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_383,plain,
% 0.20/0.44 ( element(X0,X1) | ~ in(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_88]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_384,plain,
% 0.20/0.44 ( ~ in(X0,X1) | element(X0,X1) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_383]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_395,plain,
% 0.20/0.44 ( ~ ordinal(X0) | element(X0,sk3_esk1_0) ),
% 0.20/0.44 inference(resolution,[status(thm)],[c_389,c_384]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_396,plain,
% 0.20/0.44 ( ~ ordinal(X0) | element(X0,sk3_esk1_0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_395]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_89,plain,
% 0.20/0.44 ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_96_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_385,plain,
% 0.20/0.44 ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_89]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_386,plain,
% 0.20/0.44 ( in(X0,X1) | empty(X1) | ~ element(X0,X1) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_385]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_86,plain,
% 0.20/0.44 ( epsilon_transitive(X0) | ~ empty(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_99_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_379,plain,
% 0.20/0.44 ( epsilon_transitive(X0) | ~ empty(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_86]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_380,plain,
% 0.20/0.44 ( ~ empty(X0) | epsilon_transitive(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_379]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_85,plain,
% 0.20/0.44 ( epsilon_connected(X0) | ~ empty(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_100_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_377,plain,
% 0.20/0.44 ( epsilon_connected(X0) | ~ empty(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_85]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_378,plain,
% 0.20/0.44 ( ~ empty(X0) | epsilon_connected(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_377]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_83,plain,
% 0.20/0.44 ( relation(X0) | ~ empty(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_102_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_373,plain,
% 0.20/0.44 ( relation(X0) | ~ empty(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_83]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_374,plain,
% 0.20/0.44 ( ~ empty(X0) | relation(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_373]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_82,plain,
% 0.20/0.44 ( epsilon_transitive(X0) | ~ ordinal(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_103_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_371,plain,
% 0.20/0.44 ( epsilon_transitive(X0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_82]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_372,plain,
% 0.20/0.44 ( ~ ordinal(X0) | epsilon_transitive(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_371]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_81,plain,
% 0.20/0.44 ( epsilon_connected(X0) | ~ ordinal(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_104_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_369,plain,
% 0.20/0.44 ( epsilon_connected(X0) | ~ ordinal(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_81]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_370,plain,
% 0.20/0.44 ( ~ ordinal(X0) | epsilon_connected(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_369]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_80,plain,
% 0.20/0.44 ( function(X0) | ~ empty(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_105_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_367,plain,
% 0.20/0.44 ( function(X0) | ~ empty(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_80]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_368,plain,
% 0.20/0.44 ( ~ empty(X0) | function(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_367]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_79,plain,
% 0.20/0.44 ( X0 = empty_set | ~ empty(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_106_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_365,plain,
% 0.20/0.44 ( X0 = empty_set | ~ empty(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_79]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_366,plain,
% 0.20/0.44 ( ~ empty(X0) | X0 = empty_set ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_365]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_27,plain,
% 0.20/0.44 ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_114_3) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_261,plain,
% 0.20/0.44 ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_27]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_262,plain,
% 0.20/0.44 ( ~ empty(X0) | ~ empty(X1) | X1 = X0 ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_261]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_21,plain,
% 0.20/0.44 ( ~ relation(X0) | ~ empty(X0) | ~ function(X0) | one_to_one(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_112_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_249,plain,
% 0.20/0.44 ( ~ relation(X0) | ~ empty(X0) | ~ function(X0) | one_to_one(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_21]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_250,plain,
% 0.20/0.44 ( ~ empty(X0) | ~ relation(X0) | ~ function(X0) | one_to_one(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_249]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_0,plain,
% 0.20/0.44 ( ~ in(X0,X1) | ~ ordinal(X0) | in(X0,sk2_esk2_1(X1)) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_104_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_207,plain,
% 0.20/0.44 ( ~ in(X0,X1) | ~ ordinal(X0) | in(X0,sk2_esk2_1(X1)) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_208,plain,
% 0.20/0.44 ( in(X0,sk2_esk2_1(X1)) | ~ in(X0,X1) | ~ ordinal(X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_207]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_84,plain,
% 0.20/0.44 ( ordinal(X0) | ~ empty(X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_101_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_375,plain,
% 0.20/0.44 ( ordinal(X0) | ~ empty(X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_84]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_74,plain,
% 0.20/0.44 ( function(empty_set) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_111_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_355,plain,
% 0.20/0.44 ( function(empty_set) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_74]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_73,plain,
% 0.20/0.44 ( one_to_one(empty_set) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_112_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_353,plain,
% 0.20/0.44 ( one_to_one(empty_set) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_73]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_71,plain,
% 0.20/0.44 ( epsilon_transitive(empty_set) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_114_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_349,plain,
% 0.20/0.44 ( epsilon_transitive(empty_set) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_71]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_70,plain,
% 0.20/0.44 ( epsilon_connected(empty_set) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_115_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_347,plain,
% 0.20/0.44 ( epsilon_connected(empty_set) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_70]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_69,plain,
% 0.20/0.44 ( ordinal(empty_set) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_116_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_345,plain,
% 0.20/0.44 ( ordinal(empty_set) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_69]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_67,plain,
% 0.20/0.44 ( empty(empty_set) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_118_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_341,plain,( empty(empty_set) ),inference(copy,[status(esa)],[c_67]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_66,plain,
% 0.20/0.44 ( relation(empty_set) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_119_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_339,plain,
% 0.20/0.44 ( relation(empty_set) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_66]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_65,plain,
% 0.20/0.44 ( relation_empty_yielding(empty_set) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_120_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_337,plain,
% 0.20/0.44 ( relation_empty_yielding(empty_set) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_65]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_64,plain,
% 0.20/0.44 ( function(sk2_esk3_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_150_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_335,plain,
% 0.20/0.44 ( function(sk2_esk3_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_63,plain,
% 0.20/0.44 ( relation_non_empty(sk2_esk3_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_149_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_333,plain,
% 0.20/0.44 ( relation_non_empty(sk2_esk3_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_63]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_62,plain,
% 0.20/0.44 ( relation(sk2_esk3_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_148_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_331,plain,
% 0.20/0.44 ( relation(sk2_esk3_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_62]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_61,plain,
% 0.20/0.44 ( function(sk2_esk4_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_147_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_329,plain,
% 0.20/0.44 ( function(sk2_esk4_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_61]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_60,plain,
% 0.20/0.44 ( relation_empty_yielding(sk2_esk4_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_146_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_327,plain,
% 0.20/0.44 ( relation_empty_yielding(sk2_esk4_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_59,plain,
% 0.20/0.44 ( relation(sk2_esk4_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_145_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_325,plain,
% 0.20/0.44 ( relation(sk2_esk4_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_59]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_58,plain,
% 0.20/0.44 ( relation_empty_yielding(sk2_esk5_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_144_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_323,plain,
% 0.20/0.44 ( relation_empty_yielding(sk2_esk5_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_58]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_57,plain,
% 0.20/0.44 ( relation(sk2_esk5_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_143_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_321,plain,
% 0.20/0.44 ( relation(sk2_esk5_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_57]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_56,plain,
% 0.20/0.44 ( ordinal(sk2_esk6_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_142_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_319,plain,
% 0.20/0.44 ( ordinal(sk2_esk6_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_56]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_55,plain,
% 0.20/0.44 ( epsilon_connected(sk2_esk6_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_141_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_317,plain,
% 0.20/0.44 ( epsilon_connected(sk2_esk6_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_55]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_54,plain,
% 0.20/0.44 ( epsilon_transitive(sk2_esk6_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_140_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_315,plain,
% 0.20/0.44 ( epsilon_transitive(sk2_esk6_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_54]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_53,plain,
% 0.20/0.44 ( one_to_one(sk2_esk7_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_139_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_313,plain,
% 0.20/0.44 ( one_to_one(sk2_esk7_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_53]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_52,plain,
% 0.20/0.44 ( function(sk2_esk7_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_138_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_311,plain,
% 0.20/0.44 ( function(sk2_esk7_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_52]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_51,plain,
% 0.20/0.44 ( relation(sk2_esk7_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_137_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_309,plain,
% 0.20/0.44 ( relation(sk2_esk7_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_51]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_50,plain,
% 0.20/0.44 ( relation(sk2_esk9_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_136_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_307,plain,
% 0.20/0.44 ( relation(sk2_esk9_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_50]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_49,plain,
% 0.20/0.44 ( ordinal(sk2_esk10_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_135_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_305,plain,
% 0.20/0.44 ( ordinal(sk2_esk10_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_49]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_48,plain,
% 0.20/0.44 ( epsilon_connected(sk2_esk10_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_134_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_303,plain,
% 0.20/0.44 ( epsilon_connected(sk2_esk10_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_47,plain,
% 0.20/0.44 ( epsilon_transitive(sk2_esk10_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_133_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_301,plain,
% 0.20/0.44 ( epsilon_transitive(sk2_esk10_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_47]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_46,plain,
% 0.20/0.44 ( empty(sk2_esk10_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_132_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_299,plain,
% 0.20/0.44 ( empty(sk2_esk10_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_46]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_45,plain,
% 0.20/0.44 ( one_to_one(sk2_esk10_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_131_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_297,plain,
% 0.20/0.44 ( one_to_one(sk2_esk10_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_45]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_44,plain,
% 0.20/0.44 ( function(sk2_esk10_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_130_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_295,plain,
% 0.20/0.44 ( function(sk2_esk10_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_44]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_43,plain,
% 0.20/0.44 ( relation(sk2_esk10_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_129_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_293,plain,
% 0.20/0.44 ( relation(sk2_esk10_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_43]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_42,plain,
% 0.20/0.44 ( function(sk2_esk11_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_128_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_291,plain,
% 0.20/0.44 ( function(sk2_esk11_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_42]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_41,plain,
% 0.20/0.44 ( empty(sk2_esk11_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_127_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_289,plain,
% 0.20/0.44 ( empty(sk2_esk11_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_41]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_40,plain,
% 0.20/0.44 ( relation(sk2_esk11_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_126_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_287,plain,
% 0.20/0.44 ( relation(sk2_esk11_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_40]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_39,plain,
% 0.20/0.44 ( empty(sk2_esk12_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_125_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_285,plain,
% 0.20/0.44 ( empty(sk2_esk12_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_39]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_38,plain,
% 0.20/0.44 ( relation(sk2_esk13_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_124_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_283,plain,
% 0.20/0.44 ( relation(sk2_esk13_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_38]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_37,plain,
% 0.20/0.44 ( empty(sk2_esk13_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_123_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_281,plain,
% 0.20/0.44 ( empty(sk2_esk13_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_37]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_36,plain,
% 0.20/0.44 ( ordinal(sk2_esk14_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_122_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_279,plain,
% 0.20/0.44 ( ordinal(sk2_esk14_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_36]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_35,plain,
% 0.20/0.44 ( epsilon_connected(sk2_esk14_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_121_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_277,plain,
% 0.20/0.44 ( epsilon_connected(sk2_esk14_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_35]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_34,plain,
% 0.20/0.44 ( epsilon_transitive(sk2_esk14_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_120_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_275,plain,
% 0.20/0.44 ( epsilon_transitive(sk2_esk14_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_34]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_33,plain,
% 0.20/0.44 ( function(sk2_esk15_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_119_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_273,plain,
% 0.20/0.44 ( function(sk2_esk15_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_33]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_32,plain,
% 0.20/0.44 ( relation(sk2_esk15_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_118_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_271,plain,
% 0.20/0.44 ( relation(sk2_esk15_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_32]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_31,plain,
% 0.20/0.44 ( element(sk2_esk16_1(X0),X0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_113_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_269,plain,
% 0.20/0.44 ( element(sk2_esk16_1(X0),X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_30,plain,
% 0.20/0.44 ( ~ empty(sk2_esk6_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_117_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_267,plain,
% 0.20/0.44 ( ~ empty(sk2_esk6_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_30]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_29,plain,
% 0.20/0.44 ( ~ empty(sk2_esk8_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_116_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_265,plain,
% 0.20/0.44 ( ~ empty(sk2_esk8_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_29]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_28,plain,
% 0.20/0.44 ( ~ empty(sk2_esk9_0) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_115_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_263,plain,
% 0.20/0.44 ( ~ empty(sk2_esk9_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_28]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_25,plain,
% 0.20/0.44 ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_114_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_257,plain,
% 0.20/0.44 ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.20/0.44 inference(copy,[status(esa)],[c_25]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_11,plain,
% 0.20/0.44 ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_109_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_229,plain,
% 0.20/0.44 ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_11]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_9,plain,
% 0.20/0.44 ( in(sk2_esk1_1(X0),X0) | ordinal(sk2_esk1_1(X0)) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_108_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_225,plain,
% 0.20/0.44 ( in(sk2_esk1_1(X0),X0) | ordinal(sk2_esk1_1(X0)) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_5,plain,
% 0.20/0.44 ( ~ in(X0,sk2_esk2_1(X1)) | in(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_106_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_217,plain,
% 0.20/0.44 ( ~ in(X0,sk2_esk2_1(X1)) | in(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_3,plain,
% 0.20/0.44 ( ~ in(sk2_esk1_1(X0),X0) | ~ ordinal(sk2_esk1_1(X0)) ),
% 0.20/0.44 file('/export/starexec/sandbox/tmp/iprover_modulo_a119f4.p', c_0_105_1) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_213,plain,
% 0.20/0.44 ( ~ in(sk2_esk1_1(X0),X0) | ~ ordinal(sk2_esk1_1(X0)) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_3]) ).
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % ------ Statistics
% 0.20/0.44
% 0.20/0.44 % ------ General
% 0.20/0.44
% 0.20/0.44 % num_of_input_clauses: 92
% 0.20/0.44 % num_of_input_neg_conjectures: 1
% 0.20/0.44 % num_of_splits: 0
% 0.20/0.44 % num_of_split_atoms: 0
% 0.20/0.44 % num_of_sem_filtered_clauses: 0
% 0.20/0.44 % num_of_subtypes: 0
% 0.20/0.44 % monotx_restored_types: 0
% 0.20/0.44 % sat_num_of_epr_types: 0
% 0.20/0.44 % sat_num_of_non_cyclic_types: 0
% 0.20/0.44 % sat_guarded_non_collapsed_types: 0
% 0.20/0.44 % is_epr: 0
% 0.20/0.44 % is_horn: 0
% 0.20/0.44 % has_eq: 1
% 0.20/0.44 % num_pure_diseq_elim: 0
% 0.20/0.44 % simp_replaced_by: 0
% 0.20/0.44 % res_preprocessed: 2
% 0.20/0.44 % prep_upred: 0
% 0.20/0.44 % prep_unflattend: 0
% 0.20/0.44 % pred_elim_cands: 0
% 0.20/0.44 % pred_elim: 0
% 0.20/0.44 % pred_elim_cl: 0
% 0.20/0.44 % pred_elim_cycles: 0
% 0.20/0.44 % forced_gc_time: 0
% 0.20/0.44 % gc_basic_clause_elim: 0
% 0.20/0.44 % parsing_time: 0.002
% 0.20/0.44 % sem_filter_time: 0.
% 0.20/0.44 % pred_elim_time: 0.
% 0.20/0.44 % out_proof_time: 0.
% 0.20/0.44 % monotx_time: 0.
% 0.20/0.44 % subtype_inf_time: 0.
% 0.20/0.44 % unif_index_cands_time: 0.
% 0.20/0.44 % unif_index_add_time: 0.
% 0.20/0.44 % total_time: 0.029
% 0.20/0.44 % num_of_symbols: 54
% 0.20/0.44 % num_of_terms: 152
% 0.20/0.44
% 0.20/0.44 % ------ Propositional Solver
% 0.20/0.44
% 0.20/0.44 % prop_solver_calls: 1
% 0.20/0.44 % prop_fast_solver_calls: 6
% 0.20/0.44 % prop_num_of_clauses: 83
% 0.20/0.44 % prop_preprocess_simplified: 201
% 0.20/0.44 % prop_fo_subsumed: 0
% 0.20/0.44 % prop_solver_time: 0.
% 0.20/0.44 % prop_fast_solver_time: 0.
% 0.20/0.44 % prop_unsat_core_time: 0.
% 0.20/0.44
% 0.20/0.44 % ------ QBF
% 0.20/0.44
% 0.20/0.44 % qbf_q_res: 0
% 0.20/0.44 % qbf_num_tautologies: 0
% 0.20/0.44 % qbf_prep_cycles: 0
% 0.20/0.44
% 0.20/0.44 % ------ BMC1
% 0.20/0.44
% 0.20/0.44 % bmc1_current_bound: -1
% 0.20/0.44 % bmc1_last_solved_bound: -1
% 0.20/0.44 % bmc1_unsat_core_size: -1
% 0.20/0.44 % bmc1_unsat_core_parents_size: -1
% 0.20/0.44 % bmc1_merge_next_fun: 0
% 0.20/0.44 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation
% 0.20/0.44
% 0.20/0.44 % inst_num_of_clauses: 86
% 0.20/0.44 % inst_num_in_passive: 0
% 0.20/0.44 % inst_num_in_active: 0
% 0.20/0.44 % inst_num_in_unprocessed: 92
% 0.20/0.44 % inst_num_of_loops: 0
% 0.20/0.44 % inst_num_of_learning_restarts: 0
% 0.20/0.44 % inst_num_moves_active_passive: 0
% 0.20/0.44 % inst_lit_activity: 0
% 0.20/0.44 % inst_lit_activity_moves: 0
% 0.20/0.44 % inst_num_tautologies: 0
% 0.20/0.44 % inst_num_prop_implied: 0
% 0.20/0.44 % inst_num_existing_simplified: 0
% 0.20/0.44 % inst_num_eq_res_simplified: 0
% 0.20/0.44 % inst_num_child_elim: 0
% 0.20/0.44 % inst_num_of_dismatching_blockings: 0
% 0.20/0.44 % inst_num_of_non_proper_insts: 0
% 0.20/0.44 % inst_num_of_duplicates: 0
% 0.20/0.44 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.44 % inst_dismatching_checking_time: 0.
% 0.20/0.44
% 0.20/0.44 % ------ Resolution
% 0.20/0.44
% 0.20/0.44 % res_num_of_clauses: 104
% 0.20/0.44 % res_num_in_passive: 0
% 0.20/0.44 % res_num_in_active: 72
% 0.20/0.44 % res_num_of_loops: 10
% 0.20/0.44 % res_forward_subset_subsumed: 18
% 0.20/0.44 % res_backward_subset_subsumed: 1
% 0.20/0.44 % res_forward_subsumed: 3
% 0.20/0.44 % res_backward_subsumed: 0
% 0.20/0.44 % res_forward_subsumption_resolution: 0
% 0.20/0.44 % res_backward_subsumption_resolution: 0
% 0.20/0.44 % res_clause_to_clause_subsumption: 7
% 0.20/0.44 % res_orphan_elimination: 0
% 0.20/0.44 % res_tautology_del: 8
% 0.20/0.44 % res_num_eq_res_simplified: 0
% 0.20/0.44 % res_num_sel_changes: 0
% 0.20/0.44 % res_moves_from_active_to_pass: 0
% 0.20/0.44
% 0.20/0.44 % Status Unknown
% 0.20/0.48 % Orienting using strategy ClausalAll
% 0.20/0.48 % FOF problem with conjecture
% 0.20/0.48 % 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_7c9c88.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a119f4.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_7693f1 | grep -v "SZS"
% 0.20/0.51
% 0.20/0.51 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % ------ iProver source info
% 0.20/0.51
% 0.20/0.51 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51 % git: non_committed_changes: true
% 0.20/0.51 % git: last_make_outside_of_git: true
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % ------ Input Options
% 0.20/0.51
% 0.20/0.51 % --out_options all
% 0.20/0.51 % --tptp_safe_out true
% 0.20/0.51 % --problem_path ""
% 0.20/0.51 % --include_path ""
% 0.20/0.51 % --clausifier .//eprover
% 0.20/0.51 % --clausifier_options --tstp-format
% 0.20/0.51 % --stdin false
% 0.20/0.51 % --dbg_backtrace false
% 0.20/0.51 % --dbg_dump_prop_clauses false
% 0.20/0.51 % --dbg_dump_prop_clauses_file -
% 0.20/0.51 % --dbg_out_stat false
% 0.20/0.51
% 0.20/0.51 % ------ General Options
% 0.20/0.51
% 0.20/0.51 % --fof false
% 0.20/0.51 % --time_out_real 150.
% 0.20/0.51 % --time_out_prep_mult 0.2
% 0.20/0.51 % --time_out_virtual -1.
% 0.20/0.51 % --schedule none
% 0.20/0.51 % --ground_splitting input
% 0.20/0.51 % --splitting_nvd 16
% 0.20/0.51 % --non_eq_to_eq false
% 0.20/0.51 % --prep_gs_sim true
% 0.20/0.51 % --prep_unflatten false
% 0.20/0.51 % --prep_res_sim true
% 0.20/0.51 % --prep_upred true
% 0.20/0.51 % --res_sim_input true
% 0.20/0.51 % --clause_weak_htbl true
% 0.20/0.51 % --gc_record_bc_elim false
% 0.20/0.51 % --symbol_type_check false
% 0.20/0.51 % --clausify_out false
% 0.20/0.51 % --large_theory_mode false
% 0.20/0.51 % --prep_sem_filter none
% 0.20/0.51 % --prep_sem_filter_out false
% 0.20/0.51 % --preprocessed_out false
% 0.20/0.51 % --sub_typing false
% 0.20/0.51 % --brand_transform false
% 0.20/0.51 % --pure_diseq_elim true
% 0.20/0.51 % --min_unsat_core false
% 0.20/0.51 % --pred_elim true
% 0.20/0.51 % --add_important_lit false
% 0.20/0.51 % --soft_assumptions false
% 0.20/0.51 % --reset_solvers false
% 0.20/0.51 % --bc_imp_inh []
% 0.20/0.51 % --conj_cone_tolerance 1.5
% 0.20/0.51 % --prolific_symb_bound 500
% 0.20/0.51 % --lt_threshold 2000
% 0.20/0.51
% 0.20/0.51 % ------ SAT Options
% 0.20/0.51
% 0.20/0.51 % --sat_mode false
% 0.20/0.51 % --sat_fm_restart_options ""
% 0.20/0.51 % --sat_gr_def false
% 0.20/0.51 % --sat_epr_types true
% 0.20/0.51 % --sat_non_cyclic_types false
% 0.20/0.51 % --sat_finite_models false
% 0.20/0.51 % --sat_fm_lemmas false
% 0.20/0.51 % --sat_fm_prep false
% 0.20/0.51 % --sat_fm_uc_incr true
% 0.20/0.51 % --sat_out_model small
% 0.20/0.51 % --sat_out_clauses false
% 0.20/0.51
% 0.20/0.51 % ------ QBF Options
% 0.20/0.51
% 0.20/0.51 % --qbf_mode false
% 0.20/0.51 % --qbf_elim_univ true
% 0.20/0.51 % --qbf_sk_in true
% 0.20/0.51 % --qbf_pred_elim true
% 0.20/0.51 % --qbf_split 32
% 0.20/0.51
% 0.20/0.51 % ------ BMC1 Options
% 0.20/0.51
% 0.20/0.51 % --bmc1_incremental false
% 0.20/0.51 % --bmc1_axioms reachable_all
% 0.20/0.51 % --bmc1_min_bound 0
% 0.20/0.51 % --bmc1_max_bound -1
% 0.20/0.51 % --bmc1_max_bound_default -1
% 0.20/0.51 % --bmc1_symbol_reachability true
% 0.20/0.51 % --bmc1_property_lemmas false
% 0.20/0.51 % --bmc1_k_induction false
% 0.20/0.51 % --bmc1_non_equiv_states false
% 0.20/0.51 % --bmc1_deadlock false
% 0.20/0.51 % --bmc1_ucm false
% 0.20/0.51 % --bmc1_add_unsat_core none
% 0.20/0.51 % --bmc1_unsat_core_children false
% 0.20/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.51 % --bmc1_out_stat full
% 0.20/0.51 % --bmc1_ground_init false
% 0.20/0.51 % --bmc1_pre_inst_next_state false
% 0.20/0.51 % --bmc1_pre_inst_state false
% 0.20/0.51 % --bmc1_pre_inst_reach_state false
% 0.20/0.51 % --bmc1_out_unsat_core false
% 0.20/0.51 % --bmc1_aig_witness_out false
% 0.20/0.51 % --bmc1_verbose false
% 0.20/0.51 % --bmc1_dump_clauses_tptp false
% 0.20/0.51 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.51 % --bmc1_dump_file -
% 0.20/0.51 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.51 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.51 % --bmc1_ucm_extend_mode 1
% 0.20/0.51 % --bmc1_ucm_init_mode 2
% 0.20/0.51 % --bmc1_ucm_cone_mode none
% 0.20/0.51 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.51 % --bmc1_ucm_relax_model 4
% 0.20/0.51 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.51 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.51 % --bmc1_ucm_layered_model none
% 0.20/0.51 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.51
% 0.20/0.51 % ------ AIG Options
% 0.20/0.51
% 0.20/0.51 % --aig_mode false
% 0.20/0.51
% 0.20/0.51 % ------ Instantiation Options
% 0.20/0.51
% 0.20/0.51 % --instantiation_flag true
% 0.20/0.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.51 % --inst_solver_per_active 750
% 0.20/0.51 % --inst_solver_calls_frac 0.5
% 0.20/0.51 % --inst_passive_queue_type priority_queues
% 0.20/0.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.51 % --inst_passive_queues_freq [25;2]
% 0.20/0.51 % --inst_dismatching true
% 0.20/0.51 % --inst_eager_unprocessed_to_passive true
% 0.20/0.51 % --inst_prop_sim_given true
% 0.20/0.51 % --inst_prop_sim_new false
% 0.20/0.51 % --inst_orphan_elimination true
% 0.20/0.51 % --inst_learning_loop_flag true
% 0.20/0.51 % --inst_learning_start 3000
% 0.20/0.51 % --inst_learning_factor 2
% 0.20/0.51 % --inst_start_prop_sim_after_learn 3
% 0.20/0.51 % --inst_sel_renew solver
% 0.20/0.51 % --inst_lit_activity_flag true
% 0.20/0.51 % --inst_out_proof true
% 0.20/0.51
% 0.20/0.51 % ------ Resolution Options
% 0.20/0.51
% 0.20/0.51 % --resolution_flag true
% 0.20/0.51 % --res_lit_sel kbo_max
% 0.20/0.51 % --res_to_prop_solver none
% 0.20/0.51 % --res_prop_simpl_new false
% 0.20/0.51 % --res_prop_simpl_given false
% 0.20/0.51 % --res_passive_queue_type priority_queues
% 0.20/0.51 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.51 % --res_passive_queues_freq [15;5]
% 0.20/0.51 % --res_forward_subs full
% 0.20/0.51 % --res_backward_subs full
% 0.20/0.51 % --res_forward_subs_resolution true
% 0.20/0.51 % --res_backward_subs_resolution true
% 0.20/0.51 % --res_orphan_elimination false
% 0.20/0.51 % --res_time_limit 1000.
% 0.20/0.51 % --res_out_proof true
% 0.20/0.51 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7c9c88.s
% 0.20/0.51 % --modulo true
% 0.20/0.51
% 0.20/0.51 % ------ Combination Options
% 0.20/0.51
% 0.20/0.51 % --comb_res_mult 1000
% 0.20/0.51 % --comb_inst_mult 300
% 0.20/0.51 % ------
% 0.20/0.51
% 0.20/0.51 % ------ Parsing...% successful
% 0.20/0.51
% 0.20/0.51 % ------ 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 %
% 0.20/0.51
% 0.20/0.51 % ------ Proving...
% 0.20/0.51 % ------ Problem Properties
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % EPR false
% 0.20/0.51 % Horn false
% 0.20/0.51 % Has equality true
% 0.20/0.51
% 0.20/0.51 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 % % ------ Current options:
% 0.20/0.51
% 0.20/0.51 % ------ Input Options
% 0.20/0.51
% 0.20/0.51 % --out_options all
% 0.20/0.51 % --tptp_safe_out true
% 0.20/0.51 % --problem_path ""
% 0.20/0.51 % --include_path ""
% 0.20/0.51 % --clausifier .//eprover
% 0.20/0.51 % --clausifier_options --tstp-format
% 0.20/0.51 % --stdin false
% 0.20/0.51 % --dbg_backtrace false
% 0.20/0.51 % --dbg_dump_prop_clauses false
% 0.20/0.51 % --dbg_dump_prop_clauses_file -
% 0.20/0.51 % --dbg_out_stat false
% 0.20/0.51
% 0.20/0.51 % ------ General Options
% 0.20/0.51
% 0.20/0.51 % --fof false
% 0.20/0.51 % --time_out_real 150.
% 0.20/0.51 % --time_out_prep_mult 0.2
% 0.20/0.51 % --time_out_virtual -1.
% 0.20/0.51 % --schedule none
% 0.20/0.51 % --ground_splitting input
% 0.20/0.51 % --splitting_nvd 16
% 0.20/0.51 % --non_eq_to_eq false
% 0.20/0.51 % --prep_gs_sim true
% 0.20/0.51 % --prep_unflatten false
% 0.20/0.51 % --prep_res_sim true
% 0.20/0.51 % --prep_upred true
% 0.20/0.51 % --res_sim_input true
% 0.20/0.51 % --clause_weak_htbl true
% 0.20/0.51 % --gc_record_bc_elim false
% 0.20/0.51 % --symbol_type_check false
% 0.20/0.51 % --clausify_out false
% 0.20/0.51 % --large_theory_mode false
% 0.20/0.51 % --prep_sem_filter none
% 0.20/0.51 % --prep_sem_filter_out false
% 0.20/0.51 % --preprocessed_out false
% 0.20/0.51 % --sub_typing false
% 0.20/0.51 % --brand_transform false
% 0.20/0.51 % --pure_diseq_elim true
% 0.20/0.51 % --min_unsat_core false
% 0.20/0.51 % --pred_elim true
% 0.20/0.51 % --add_important_lit false
% 0.20/0.51 % --soft_assumptions false
% 0.20/0.51 % --reset_solvers false
% 0.20/0.51 % --bc_imp_inh []
% 0.20/0.51 % --conj_cone_tolerance 1.5
% 0.20/0.51 % --prolific_symb_bound 500
% 0.20/0.51 % --lt_threshold 2000
% 0.20/0.51
% 0.20/0.51 % ------ SAT Options
% 0.20/0.51
% 0.20/0.51 % --sat_mode false
% 0.20/0.51 % --sat_fm_restart_options ""
% 0.20/0.51 % --sat_gr_def false
% 0.20/0.51 % --sat_epr_types true
% 0.20/0.51 % --sat_non_cyclic_types false
% 0.20/0.51 % --sat_finite_models false
% 0.20/0.51 % --sat_fm_lemmas false
% 0.20/0.51 % --sat_fm_prep false
% 0.20/0.51 % --sat_fm_uc_incr true
% 0.20/0.51 % --sat_out_model small
% 0.20/0.51 % --sat_out_clauses false
% 0.20/0.51
% 0.20/0.51 % ------ QBF Options
% 0.20/0.51
% 0.20/0.51 % --qbf_mode false
% 0.20/0.51 % --qbf_elim_univ true
% 0.20/0.51 % --qbf_sk_in true
% 0.20/0.51 % --qbf_pred_elim true
% 0.20/0.51 % --qbf_split 32
% 0.20/0.51
% 0.20/0.51 % ------ BMC1 Options
% 0.20/0.51
% 0.20/0.51 % --bmc1_incremental false
% 0.20/0.51 % --bmc1_axioms reachable_all
% 0.20/0.51 % --bmc1_min_bound 0
% 0.20/0.51 % --bmc1_max_bound -1
% 0.20/0.51 % --bmc1_max_bound_default -1
% 0.20/0.51 % --bmc1_symbol_reachability true
% 0.20/0.51 % --bmc1_property_lemmas false
% 0.20/0.51 % --bmc1_k_induction false
% 0.20/0.51 % --bmc1_non_equiv_states false
% 0.20/0.51 % --bmc1_deadlock false
% 0.20/0.51 % --bmc1_ucm false
% 0.20/0.51 % --bmc1_add_unsat_core none
% 0.20/0.51 % --bmc1_unsat_core_children false
% 0.20/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.51 % --bmc1_out_stat full
% 0.20/0.51 % --bmc1_ground_init false
% 0.20/0.51 % --bmc1_pre_inst_next_state false
% 0.20/0.51 % --bmc1_pre_inst_state false
% 0.20/0.51 % --bmc1_pre_inst_reach_state false
% 0.20/0.51 % --bmc1_out_unsat_core false
% 0.20/0.51 % --bmc1_aig_witness_out false
% 0.20/0.51 % --bmc1_verbose false
% 0.20/0.51 % --bmc1_dump_clauses_tptp false
% 0.20/0.51 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.51 % --bmc1_dump_file -
% 0.20/0.51 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.51 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.51 % --bmc1_ucm_extend_mode 1
% 0.20/0.51 % --bmc1_ucm_init_mode 2
% 0.20/0.51 % --bmc1_ucm_cone_mode none
% 0.20/0.51 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.51 % --bmc1_ucm_relax_model 4
% 0.20/0.51 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.51 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.51 % --bmc1_ucm_layered_model none
% 0.20/0.51 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.51
% 0.20/0.51 % ------ AIG Options
% 0.20/0.51
% 0.20/0.51 % --aig_mode false
% 0.20/0.51
% 0.20/0.51 % ------ Instantiation Options
% 0.20/0.51
% 0.20/0.51 % --instantiation_flag true
% 0.20/0.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.51 % --inst_solver_per_active 750
% 0.20/0.51 % --inst_solver_calls_frac 0.5
% 0.20/0.51 % --inst_passive_queue_type priority_queues
% 0.20/0.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.51 % --inst_passive_queues_freq [25;2]
% 0.20/0.51 % --inst_dismatching true
% 0.20/0.51 % --inst_eager_unprocessed_to_passive true
% 0.20/0.51 % --inst_prop_sim_given true
% 12.56/12.73 % --inst_prop_sim_new false
% 12.56/12.73 % --inst_orphan_elimination true
% 12.56/12.73 % --inst_learning_loop_flag true
% 12.56/12.73 % --inst_learning_start 3000
% 12.56/12.73 % --inst_learning_factor 2
% 12.56/12.73 % --inst_start_prop_sim_after_learn 3
% 12.56/12.73 % --inst_sel_renew solver
% 12.56/12.73 % --inst_lit_activity_flag true
% 12.56/12.73 % --inst_out_proof true
% 12.56/12.73
% 12.56/12.73 % ------ Resolution Options
% 12.56/12.73
% 12.56/12.73 % --resolution_flag true
% 12.56/12.73 % --res_lit_sel kbo_max
% 12.56/12.73 % --res_to_prop_solver none
% 12.56/12.73 % --res_prop_simpl_new false
% 12.56/12.73 % --res_prop_simpl_given false
% 12.56/12.73 % --res_passive_queue_type priority_queues
% 12.56/12.73 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 12.56/12.73 % --res_passive_queues_freq [15;5]
% 12.56/12.73 % --res_forward_subs full
% 12.56/12.73 % --res_backward_subs full
% 12.56/12.73 % --res_forward_subs_resolution true
% 12.56/12.73 % --res_backward_subs_resolution true
% 12.56/12.73 % --res_orphan_elimination false
% 12.56/12.73 % --res_time_limit 1000.
% 12.56/12.73 % --res_out_proof true
% 12.56/12.73 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7c9c88.s
% 12.56/12.73 % --modulo true
% 12.56/12.73
% 12.56/12.73 % ------ Combination Options
% 12.56/12.73
% 12.56/12.73 % --comb_res_mult 1000
% 12.56/12.73 % --comb_inst_mult 300
% 12.56/12.73 % ------
% 12.56/12.73
% 12.56/12.73
% 12.56/12.73
% 12.56/12.73 % ------ Proving...
% 12.56/12.73 %
% 12.56/12.73
% 12.56/12.73
% 12.56/12.73 % ------ Statistics
% 12.56/12.73
% 12.56/12.73 % ------ General
% 12.56/12.73
% 12.56/12.73 % num_of_input_clauses: 106
% 12.56/12.73 % num_of_input_neg_conjectures: 1
% 12.56/12.73 % num_of_splits: 0
% 12.56/12.73 % num_of_split_atoms: 0
% 12.56/12.73 % num_of_sem_filtered_clauses: 0
% 12.56/12.73 % num_of_subtypes: 0
% 12.56/12.73 % monotx_restored_types: 0
% 12.56/12.73 % sat_num_of_epr_types: 0
% 12.56/12.73 % sat_num_of_non_cyclic_types: 0
% 12.56/12.73 % sat_guarded_non_collapsed_types: 0
% 12.56/12.73 % is_epr: 0
% 12.56/12.73 % is_horn: 0
% 12.56/12.73 % has_eq: 1
% 12.56/12.73 % num_pure_diseq_elim: 0
% 12.56/12.73 % simp_replaced_by: 0
% 12.56/12.73 % res_preprocessed: 2
% 12.56/12.73 % prep_upred: 0
% 12.56/12.73 % prep_unflattend: 0
% 12.56/12.73 % pred_elim_cands: 0
% 12.56/12.73 % pred_elim: 0
% 12.56/12.73 % pred_elim_cl: 0
% 12.56/12.73 % pred_elim_cycles: 0
% 12.56/12.73 % forced_gc_time: 0
% 12.56/12.73 % gc_basic_clause_elim: 0
% 12.56/12.73 % parsing_time: 0.002
% 12.56/12.73 % sem_filter_time: 0.
% 12.56/12.73 % pred_elim_time: 0.
% 12.56/12.73 % out_proof_time: 0.
% 12.56/12.73 % monotx_time: 0.
% 12.56/12.73 % subtype_inf_time: 0.
% 12.56/12.73 % unif_index_cands_time: 0.004
% 12.56/12.73 % unif_index_add_time: 0.007
% 12.56/12.73 % total_time: 12.241
% 12.56/12.73 % num_of_symbols: 54
% 12.56/12.73 % num_of_terms: 2472
% 12.56/12.73
% 12.56/12.73 % ------ Propositional Solver
% 12.56/12.73
% 12.56/12.73 % prop_solver_calls: 6
% 12.56/12.73 % prop_fast_solver_calls: 6
% 12.56/12.73 % prop_num_of_clauses: 269
% 12.56/12.73 % prop_preprocess_simplified: 607
% 12.56/12.73 % prop_fo_subsumed: 0
% 12.56/12.73 % prop_solver_time: 0.
% 12.56/12.73 % prop_fast_solver_time: 0.
% 12.56/12.73 % prop_unsat_core_time: 0.
% 12.56/12.73
% 12.56/12.73 % ------ QBF
% 12.56/12.73
% 12.56/12.73 % qbf_q_res: 0
% 12.56/12.73 % qbf_num_tautologies: 0
% 12.56/12.73 % qbf_prep_cycles: 0
% 12.56/12.73
% 12.56/12.73 % ------ BMC1
% 12.56/12.73
% 12.56/12.73 % bmc1_current_bound: -1
% 12.56/12.73 % bmc1_last_solved_bound: -1
% 12.56/12.73 % bmc1_unsat_core_size: -1
% 12.56/12.73 % bmc1_unsat_core_parents_size: -1
% 12.56/12.73 % bmc1_merge_next_fun: 0
% 12.56/12.73 % bmc1_unsat_core_clauses_time: 0.
% 12.56/12.73
% 12.56/12.73 % ------ Instantiation
% 12.56/12.73
% 12.56/12.73 % inst_num_of_clauses: 251
% 12.56/12.73 % inst_num_in_passive: 20
% 12.56/12.73 % inst_num_in_active: 199
% 12.56/12.73 % inst_num_in_unprocessed: 22
% 12.56/12.73 % inst_num_of_loops: 223
% 12.56/12.73 % inst_num_of_learning_restarts: 0
% 12.56/12.73 % inst_num_moves_active_passive: 12
% 12.56/12.73 % inst_lit_activity: 33
% 12.56/12.73 % inst_lit_activity_moves: 0
% 12.56/12.73 % inst_num_tautologies: 8
% 12.56/12.73 % inst_num_prop_implied: 0
% 12.56/12.73 % inst_num_existing_simplified: 0
% 12.56/12.73 % inst_num_eq_res_simplified: 0
% 12.56/12.73 % inst_num_child_elim: 0
% 12.56/12.73 % inst_num_of_dismatching_blockings: 52
% 12.56/12.73 % inst_num_of_non_proper_insts: 236
% 12.56/12.73 % inst_num_of_duplicates: 168
% 12.56/12.73 % inst_inst_num_from_inst_to_res: 0
% 12.56/12.73 % inst_dismatching_checking_time: 0.
% 12.56/12.73
% 12.56/12.73 % ------ Resolution
% 12.56/12.73
% 12.56/12.73 % res_num_of_clauses: 858
% 12.56/12.73 % res_num_in_passive: 6
% 12.56/12.73 % res_num_in_active: 817
% 12.56/12.73 % res_num_of_loops: 1000
% 12.56/12.73 % res_forward_subset_subsumed: 15781
% 12.56/12.73 % res_backward_subset_subsumed: 125
% 12.56/12.73 % res_forward_subsumed: 124
% 12.56/12.73 % res_backward_subsumed: 0
% 12.56/12.73 % res_forward_subsumption_resolution: 125
% 12.56/12.73 % res_backward_subsumption_resolution: 0
% 12.56/12.73 % res_clause_to_clause_subsumption: 749
% 12.56/12.73 % res_orphan_elimination: 0
% 12.56/12.73 % res_tautology_del: 133
% 12.56/12.73 % res_num_eq_res_simplified: 0
% 12.56/12.73 % res_num_sel_changes: 0
% 12.56/12.73 % res_moves_from_active_to_pass: 0
% 12.56/12.73
% 12.56/12.73 % Status Unsatisfiable
% 12.56/12.73 % SZS status Theorem
% 12.56/12.73 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------