TSTP Solution File: SEU240+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 10:26:22 EDT 2022
% Result : Theorem 34.25s 34.47s
% Output : CNFRefutation 34.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 50
% Syntax : Number of formulae : 364 ( 142 unt; 0 def)
% Number of atoms : 916 ( 52 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 997 ( 445 ~; 459 |; 55 &)
% ( 6 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 19 con; 0-2 aty)
% Number of variables : 484 ( 35 sgn 129 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_transitive_in(X1,X2)
<=> ! [X3,X4,X5] :
( ( in(X3,X2)
& in(X4,X2)
& in(X5,X2)
& in(ordered_pair(X3,X4),X1)
& in(ordered_pair(X4,X5),X1) )
=> in(ordered_pair(X3,X5),X1) ) ) ),
file('<stdin>',d8_relat_2) ).
fof(c_0_1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_field(X3))
& in(X2,relation_field(X3)) ) ) ),
file('<stdin>',t30_relat_1) ).
fof(c_0_2,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('<stdin>',d5_tarski) ).
fof(c_0_3,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
file('<stdin>',fc3_xboole_0) ).
fof(c_0_4,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
file('<stdin>',fc2_xboole_0) ).
fof(c_0_5,axiom,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
file('<stdin>',fc1_zfmisc_1) ).
fof(c_0_6,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('<stdin>',antisymmetry_r2_hidden) ).
fof(c_0_7,axiom,
! [X1] :
( relation(X1)
=> ( transitive(X1)
<=> is_transitive_in(X1,relation_field(X1)) ) ),
file('<stdin>',d16_relat_2) ).
fof(c_0_8,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('<stdin>',t2_subset) ).
fof(c_0_9,axiom,
! [X1] :
( relation(X1)
=> relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
file('<stdin>',d6_relat_1) ).
fof(c_0_10,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('<stdin>',t1_subset) ).
fof(c_0_11,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_12,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('<stdin>',commutativity_k2_xboole_0) ).
fof(c_0_13,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('<stdin>',commutativity_k2_tarski) ).
fof(c_0_14,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_15,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_16,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_17,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
file('<stdin>',idempotence_k2_xboole_0) ).
fof(c_0_18,axiom,
! [X1] : set_union2(X1,empty_set) = X1,
file('<stdin>',t1_boole) ).
fof(c_0_19,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('<stdin>',cc1_funct_1) ).
fof(c_0_20,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('<stdin>',t6_boole) ).
fof(c_0_21,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_22,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('<stdin>',rc3_funct_1) ).
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] :
( relation(X1)
& function(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_26,axiom,
empty(empty_set),
file('<stdin>',fc1_xboole_0) ).
fof(c_0_27,axiom,
$true,
file('<stdin>',dt_m1_subset_1) ).
fof(c_0_28,axiom,
$true,
file('<stdin>',dt_k4_tarski) ).
fof(c_0_29,axiom,
$true,
file('<stdin>',dt_k3_relat_1) ).
fof(c_0_30,axiom,
$true,
file('<stdin>',dt_k2_xboole_0) ).
fof(c_0_31,axiom,
$true,
file('<stdin>',dt_k2_tarski) ).
fof(c_0_32,axiom,
$true,
file('<stdin>',dt_k2_relat_1) ).
fof(c_0_33,axiom,
$true,
file('<stdin>',dt_k1_xboole_0) ).
fof(c_0_34,axiom,
$true,
file('<stdin>',dt_k1_tarski) ).
fof(c_0_35,axiom,
$true,
file('<stdin>',dt_k1_relat_1) ).
fof(c_0_36,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_transitive_in(X1,X2)
<=> ! [X3,X4,X5] :
( ( in(X3,X2)
& in(X4,X2)
& in(X5,X2)
& in(ordered_pair(X3,X4),X1)
& in(ordered_pair(X4,X5),X1) )
=> in(ordered_pair(X3,X5),X1) ) ) ),
c_0_0 ).
fof(c_0_37,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_field(X3))
& in(X2,relation_field(X3)) ) ) ),
c_0_1 ).
fof(c_0_38,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
c_0_2 ).
fof(c_0_39,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_40,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_41,plain,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_42,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_43,axiom,
! [X1] :
( relation(X1)
=> ( transitive(X1)
<=> is_transitive_in(X1,relation_field(X1)) ) ),
c_0_7 ).
fof(c_0_44,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
c_0_8 ).
fof(c_0_45,axiom,
! [X1] :
( relation(X1)
=> relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
c_0_9 ).
fof(c_0_46,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
c_0_10 ).
fof(c_0_47,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_11 ).
fof(c_0_48,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
c_0_12 ).
fof(c_0_49,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
c_0_13 ).
fof(c_0_50,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
c_0_14 ).
fof(c_0_51,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_15 ).
fof(c_0_52,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_16 ).
fof(c_0_53,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
c_0_17 ).
fof(c_0_54,axiom,
! [X1] : set_union2(X1,empty_set) = X1,
c_0_18 ).
fof(c_0_55,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
c_0_19 ).
fof(c_0_56,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
c_0_20 ).
fof(c_0_57,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_58,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
c_0_22 ).
fof(c_0_59,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
c_0_23 ).
fof(c_0_60,axiom,
? [X1] : empty(X1),
c_0_24 ).
fof(c_0_61,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
c_0_25 ).
fof(c_0_62,axiom,
empty(empty_set),
c_0_26 ).
fof(c_0_63,axiom,
$true,
c_0_27 ).
fof(c_0_64,axiom,
$true,
c_0_28 ).
fof(c_0_65,axiom,
$true,
c_0_29 ).
fof(c_0_66,axiom,
$true,
c_0_30 ).
fof(c_0_67,axiom,
$true,
c_0_31 ).
fof(c_0_68,axiom,
$true,
c_0_32 ).
fof(c_0_69,axiom,
$true,
c_0_33 ).
fof(c_0_70,axiom,
$true,
c_0_34 ).
fof(c_0_71,axiom,
$true,
c_0_35 ).
fof(c_0_72,plain,
! [X6,X7,X8,X9,X10,X11] :
( ( ~ is_transitive_in(X6,X7)
| ~ in(X8,X7)
| ~ in(X9,X7)
| ~ in(X10,X7)
| ~ in(ordered_pair(X8,X9),X6)
| ~ in(ordered_pair(X9,X10),X6)
| in(ordered_pair(X8,X10),X6)
| ~ relation(X6) )
& ( in(esk1_2(X6,X11),X11)
| is_transitive_in(X6,X11)
| ~ relation(X6) )
& ( in(esk2_2(X6,X11),X11)
| is_transitive_in(X6,X11)
| ~ relation(X6) )
& ( in(esk3_2(X6,X11),X11)
| is_transitive_in(X6,X11)
| ~ relation(X6) )
& ( in(ordered_pair(esk1_2(X6,X11),esk2_2(X6,X11)),X6)
| is_transitive_in(X6,X11)
| ~ relation(X6) )
& ( in(ordered_pair(esk2_2(X6,X11),esk3_2(X6,X11)),X6)
| is_transitive_in(X6,X11)
| ~ relation(X6) )
& ( ~ in(ordered_pair(esk1_2(X6,X11),esk3_2(X6,X11)),X6)
| is_transitive_in(X6,X11)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])])]) ).
fof(c_0_73,plain,
! [X4,X5,X6] :
( ( in(X4,relation_field(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) )
& ( in(X5,relation_field(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_74,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_75,plain,
! [X3,X4] :
( empty(X3)
| ~ empty(set_union2(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_76,plain,
! [X3,X4] :
( empty(X3)
| ~ empty(set_union2(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
fof(c_0_77,plain,
! [X3,X4] : ~ empty(ordered_pair(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_78,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ in(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).
fof(c_0_79,plain,
! [X2] :
( ( ~ transitive(X2)
| is_transitive_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_transitive_in(X2,relation_field(X2))
| transitive(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
fof(c_0_80,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_81,plain,
! [X2] :
( ~ relation(X2)
| relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_82,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_83,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_84,plain,
! [X3,X4] : set_union2(X3,X4) = set_union2(X4,X3),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_85,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_86,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_50])])]) ).
fof(c_0_87,plain,
! [X3] : element(esk4_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_51])]) ).
fof(c_0_88,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_52])])])]) ).
fof(c_0_89,plain,
! [X3,X4] : set_union2(X3,X3) = X3,
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_90,plain,
! [X2] : set_union2(X2,empty_set) = X2,
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_91,plain,
! [X2] :
( ~ empty(X2)
| function(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])]) ).
fof(c_0_92,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
fof(c_0_93,plain,
~ empty(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_57])]) ).
fof(c_0_94,plain,
( relation(esk9_0)
& function(esk9_0)
& one_to_one(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_58])]) ).
fof(c_0_95,plain,
( relation(esk7_0)
& empty(esk7_0)
& function(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_59])]) ).
fof(c_0_96,plain,
empty(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_60])]) ).
fof(c_0_97,plain,
( relation(esk5_0)
& function(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_61])]) ).
fof(c_0_98,axiom,
empty(empty_set),
c_0_62 ).
fof(c_0_99,axiom,
$true,
c_0_63 ).
fof(c_0_100,axiom,
$true,
c_0_64 ).
fof(c_0_101,axiom,
$true,
c_0_65 ).
fof(c_0_102,axiom,
$true,
c_0_66 ).
fof(c_0_103,axiom,
$true,
c_0_67 ).
fof(c_0_104,axiom,
$true,
c_0_68 ).
fof(c_0_105,axiom,
$true,
c_0_69 ).
fof(c_0_106,axiom,
$true,
c_0_70 ).
fof(c_0_107,axiom,
$true,
c_0_71 ).
cnf(c_0_108,plain,
( in(ordered_pair(X2,X3),X1)
| ~ relation(X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(X3,X5)
| ~ in(X4,X5)
| ~ in(X2,X5)
| ~ is_transitive_in(X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_109,plain,
( is_transitive_in(X1,X2)
| ~ relation(X1)
| ~ in(ordered_pair(esk1_2(X1,X2),esk3_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_110,plain,
( is_transitive_in(X1,X2)
| in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_111,plain,
( is_transitive_in(X1,X2)
| in(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_112,plain,
( in(X2,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_113,plain,
( in(X3,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_114,plain,
( is_transitive_in(X1,X2)
| in(esk1_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_115,plain,
( is_transitive_in(X1,X2)
| in(esk2_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_116,plain,
( is_transitive_in(X1,X2)
| in(esk3_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_117,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_118,plain,
( empty(X2)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_119,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_120,plain,
~ empty(ordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_121,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_122,plain,
( transitive(X1)
| ~ relation(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_123,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_124,plain,
( relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_125,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_126,plain,
( is_transitive_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ transitive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_127,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_128,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_129,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_130,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_131,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_132,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_133,plain,
element(esk4_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_134,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_135,plain,
set_union2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_136,plain,
set_union2(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_137,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_138,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_139,plain,
~ empty(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_140,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_141,plain,
function(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_142,plain,
one_to_one(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_143,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_144,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_145,plain,
function(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_146,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_147,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_148,plain,
function(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_149,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_150,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_151,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_152,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_153,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_154,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_155,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_156,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_157,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_158,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_159,plain,
( in(ordered_pair(X2,X3),X1)
| ~ relation(X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(X3,X5)
| ~ in(X4,X5)
| ~ in(X2,X5)
| ~ is_transitive_in(X1,X5) ),
c_0_108,
[final] ).
cnf(c_0_160,plain,
( is_transitive_in(X1,X2)
| ~ relation(X1)
| ~ in(ordered_pair(esk1_2(X1,X2),esk3_2(X1,X2)),X1) ),
c_0_109,
[final] ).
cnf(c_0_161,plain,
( is_transitive_in(X1,X2)
| in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
| ~ relation(X1) ),
c_0_110,
[final] ).
cnf(c_0_162,plain,
( is_transitive_in(X1,X2)
| in(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X1)
| ~ relation(X1) ),
c_0_111,
[final] ).
cnf(c_0_163,plain,
( in(X2,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
c_0_112,
[final] ).
cnf(c_0_164,plain,
( in(X3,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
c_0_113,
[final] ).
cnf(c_0_165,plain,
( is_transitive_in(X1,X2)
| in(esk1_2(X1,X2),X2)
| ~ relation(X1) ),
c_0_114,
[final] ).
cnf(c_0_166,plain,
( is_transitive_in(X1,X2)
| in(esk2_2(X1,X2),X2)
| ~ relation(X1) ),
c_0_115,
[final] ).
cnf(c_0_167,plain,
( is_transitive_in(X1,X2)
| in(esk3_2(X1,X2),X2)
| ~ relation(X1) ),
c_0_116,
[final] ).
cnf(c_0_168,plain,
unordered_pair(unordered_pair(X1,X2),singleton(X1)) = ordered_pair(X1,X2),
c_0_117,
[final] ).
cnf(c_0_169,plain,
( empty(X2)
| ~ empty(set_union2(X1,X2)) ),
c_0_118,
[final] ).
cnf(c_0_170,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
c_0_119,
[final] ).
cnf(c_0_171,plain,
~ empty(ordered_pair(X1,X2)),
c_0_120,
[final] ).
cnf(c_0_172,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
c_0_121,
[final] ).
cnf(c_0_173,plain,
( transitive(X1)
| ~ relation(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
c_0_122,
[final] ).
cnf(c_0_174,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
c_0_123,
[final] ).
cnf(c_0_175,plain,
( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
| ~ relation(X1) ),
c_0_124,
[final] ).
cnf(c_0_176,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
c_0_125,
[final] ).
cnf(c_0_177,plain,
( is_transitive_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ transitive(X1) ),
c_0_126,
[final] ).
cnf(c_0_178,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_127,
[final] ).
cnf(c_0_179,plain,
set_union2(X1,X2) = set_union2(X2,X1),
c_0_128,
[final] ).
cnf(c_0_180,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
c_0_129,
[final] ).
cnf(c_0_181,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_130,
[final] ).
cnf(c_0_182,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_131,
[final] ).
cnf(c_0_183,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_132,
[final] ).
cnf(c_0_184,plain,
element(esk4_1(X1),X1),
c_0_133,
[final] ).
cnf(c_0_185,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_134,
[final] ).
cnf(c_0_186,plain,
set_union2(X1,X1) = X1,
c_0_135,
[final] ).
cnf(c_0_187,plain,
set_union2(X1,empty_set) = X1,
c_0_136,
[final] ).
cnf(c_0_188,plain,
( function(X1)
| ~ empty(X1) ),
c_0_137,
[final] ).
cnf(c_0_189,plain,
( X1 = empty_set
| ~ empty(X1) ),
c_0_138,
[final] ).
cnf(c_0_190,plain,
~ empty(esk8_0),
c_0_139,
[final] ).
cnf(c_0_191,plain,
relation(esk9_0),
c_0_140,
[final] ).
cnf(c_0_192,plain,
function(esk9_0),
c_0_141,
[final] ).
cnf(c_0_193,plain,
one_to_one(esk9_0),
c_0_142,
[final] ).
cnf(c_0_194,plain,
relation(esk7_0),
c_0_143,
[final] ).
cnf(c_0_195,plain,
empty(esk7_0),
c_0_144,
[final] ).
cnf(c_0_196,plain,
function(esk7_0),
c_0_145,
[final] ).
cnf(c_0_197,plain,
empty(esk6_0),
c_0_146,
[final] ).
cnf(c_0_198,plain,
relation(esk5_0),
c_0_147,
[final] ).
cnf(c_0_199,plain,
function(esk5_0),
c_0_148,
[final] ).
cnf(c_0_200,plain,
empty(empty_set),
c_0_149,
[final] ).
cnf(c_0_201,plain,
$true,
c_0_150,
[final] ).
cnf(c_0_202,plain,
$true,
c_0_151,
[final] ).
cnf(c_0_203,plain,
$true,
c_0_152,
[final] ).
cnf(c_0_204,plain,
$true,
c_0_153,
[final] ).
cnf(c_0_205,plain,
$true,
c_0_154,
[final] ).
cnf(c_0_206,plain,
$true,
c_0_155,
[final] ).
cnf(c_0_207,plain,
$true,
c_0_156,
[final] ).
cnf(c_0_208,plain,
$true,
c_0_157,
[final] ).
cnf(c_0_209,plain,
$true,
c_0_158,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_159_0,axiom,
( in(ordered_pair(X2,X3),X1)
| ~ relation(X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(X3,X5)
| ~ in(X4,X5)
| ~ in(X2,X5)
| ~ is_transitive_in(X1,X5) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_1,axiom,
( ~ relation(X1)
| in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(X3,X5)
| ~ in(X4,X5)
| ~ in(X2,X5)
| ~ is_transitive_in(X1,X5) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_2,axiom,
( ~ in(ordered_pair(X4,X3),X1)
| ~ relation(X1)
| in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(X3,X5)
| ~ in(X4,X5)
| ~ in(X2,X5)
| ~ is_transitive_in(X1,X5) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_3,axiom,
( ~ in(ordered_pair(X2,X4),X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ relation(X1)
| in(ordered_pair(X2,X3),X1)
| ~ in(X3,X5)
| ~ in(X4,X5)
| ~ in(X2,X5)
| ~ is_transitive_in(X1,X5) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_4,axiom,
( ~ in(X3,X5)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ relation(X1)
| in(ordered_pair(X2,X3),X1)
| ~ in(X4,X5)
| ~ in(X2,X5)
| ~ is_transitive_in(X1,X5) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_5,axiom,
( ~ in(X4,X5)
| ~ in(X3,X5)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ relation(X1)
| in(ordered_pair(X2,X3),X1)
| ~ in(X2,X5)
| ~ is_transitive_in(X1,X5) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_6,axiom,
( ~ in(X2,X5)
| ~ in(X4,X5)
| ~ in(X3,X5)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ relation(X1)
| in(ordered_pair(X2,X3),X1)
| ~ is_transitive_in(X1,X5) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_7,axiom,
( ~ is_transitive_in(X1,X5)
| ~ in(X2,X5)
| ~ in(X4,X5)
| ~ in(X3,X5)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ relation(X1)
| in(ordered_pair(X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
( is_transitive_in(X1,X2)
| ~ relation(X1)
| ~ in(ordered_pair(sk1_esk1_2(X1,X2),sk1_esk3_2(X1,X2)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_1,axiom,
( ~ relation(X1)
| is_transitive_in(X1,X2)
| ~ in(ordered_pair(sk1_esk1_2(X1,X2),sk1_esk3_2(X1,X2)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_2,axiom,
( ~ in(ordered_pair(sk1_esk1_2(X1,X2),sk1_esk3_2(X1,X2)),X1)
| ~ relation(X1)
| is_transitive_in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( is_transitive_in(X1,X2)
| in(ordered_pair(sk1_esk1_2(X1,X2),sk1_esk2_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_1,axiom,
( in(ordered_pair(sk1_esk1_2(X1,X2),sk1_esk2_2(X1,X2)),X1)
| is_transitive_in(X1,X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_2,axiom,
( ~ relation(X1)
| in(ordered_pair(sk1_esk1_2(X1,X2),sk1_esk2_2(X1,X2)),X1)
| is_transitive_in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
( is_transitive_in(X1,X2)
| in(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_1,axiom,
( in(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X1)
| is_transitive_in(X1,X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_2,axiom,
( ~ relation(X1)
| in(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X1)
| is_transitive_in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
( in(X2,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( ~ relation(X1)
| in(X2,relation_field(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_2,axiom,
( ~ in(ordered_pair(X2,X3),X1)
| ~ relation(X1)
| in(X2,relation_field(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
( in(X3,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_1,axiom,
( ~ relation(X1)
| in(X3,relation_field(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_2,axiom,
( ~ in(ordered_pair(X2,X3),X1)
| ~ relation(X1)
| in(X3,relation_field(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
( is_transitive_in(X1,X2)
| in(sk1_esk1_2(X1,X2),X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( in(sk1_esk1_2(X1,X2),X2)
| is_transitive_in(X1,X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_2,axiom,
( ~ relation(X1)
| in(sk1_esk1_2(X1,X2),X2)
| is_transitive_in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_0,axiom,
( is_transitive_in(X1,X2)
| in(sk1_esk2_2(X1,X2),X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_1,axiom,
( in(sk1_esk2_2(X1,X2),X2)
| is_transitive_in(X1,X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_2,axiom,
( ~ relation(X1)
| in(sk1_esk2_2(X1,X2),X2)
| is_transitive_in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_0,axiom,
( is_transitive_in(X1,X2)
| in(sk1_esk3_2(X1,X2),X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( in(sk1_esk3_2(X1,X2),X2)
| is_transitive_in(X1,X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_2,axiom,
( ~ relation(X1)
| in(sk1_esk3_2(X1,X2),X2)
| is_transitive_in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_169_0,axiom,
( empty(X2)
| ~ empty(set_union2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_1,axiom,
( ~ empty(set_union2(X1,X2))
| empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_1,axiom,
( ~ empty(set_union2(X1,X2))
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
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,
( transitive(X1)
| ~ relation(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( ~ relation(X1)
| transitive(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_2,axiom,
( ~ is_transitive_in(X1,relation_field(X1))
| ~ relation(X1)
| transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_0,axiom,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_2,axiom,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_175_0,axiom,
( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_1,axiom,
( ~ relation(X1)
| set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_176_0,axiom,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_1,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_177_0,axiom,
( is_transitive_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_1,axiom,
( ~ relation(X1)
| is_transitive_in(X1,relation_field(X1))
| ~ transitive(X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_2,axiom,
( ~ transitive(X1)
| ~ relation(X1)
| is_transitive_in(X1,relation_field(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_178_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_181_0,axiom,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_1,axiom,
( ~ function(X1)
| relation(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| relation(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_182_0,axiom,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_1,axiom,
( ~ function(X1)
| function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_183_0,axiom,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_1,axiom,
( ~ function(X1)
| one_to_one(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| one_to_one(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_185_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_188_0,axiom,
( function(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_1,axiom,
( ~ empty(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_189_0,axiom,
( X1 = empty_set
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_1,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_171_0,axiom,
~ empty(ordered_pair(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_190_0,axiom,
~ empty(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_168_0,axiom,
unordered_pair(unordered_pair(X1,X2),singleton(X1)) = ordered_pair(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_179_0,axiom,
set_union2(X1,X2) = set_union2(X2,X1),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_180_0,axiom,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_184_0,axiom,
element(sk1_esk4_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_186_0,axiom,
set_union2(X1,X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_187_0,axiom,
set_union2(X1,empty_set) = X1,
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_191_0,axiom,
relation(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_192_0,axiom,
function(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_193_0,axiom,
one_to_one(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_194_0,axiom,
relation(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_195_0,axiom,
empty(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_196_0,axiom,
function(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_197_0,axiom,
empty(sk1_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_198_0,axiom,
relation(sk1_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_199_0,axiom,
function(sk1_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_200_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_201_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_202_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_203_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_204_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_205_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_206_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_207_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_208_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_209_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_209]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
( relation(X1)
=> ( transitive(X1)
<=> ! [X2,X3,X4] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X4),X1) )
=> in(ordered_pair(X2,X4),X1) ) ) ),
file('<stdin>',l2_wellord1) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( transitive(X1)
<=> ! [X2,X3,X4] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X4),X1) )
=> in(ordered_pair(X2,X4),X1) ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
! [X9,X10,X11] :
( relation(esk1_0)
& ( in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ transitive(esk1_0) )
& ( in(ordered_pair(esk3_0,esk4_0),esk1_0)
| ~ transitive(esk1_0) )
& ( ~ in(ordered_pair(esk2_0,esk4_0),esk1_0)
| ~ transitive(esk1_0) )
& ( transitive(esk1_0)
| ~ in(ordered_pair(X9,X10),esk1_0)
| ~ in(ordered_pair(X10,X11),esk1_0)
| in(ordered_pair(X9,X11),esk1_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3_004,negated_conjecture,
( in(ordered_pair(X1,X2),esk1_0)
| transitive(esk1_0)
| ~ in(ordered_pair(X3,X2),esk1_0)
| ~ in(ordered_pair(X1,X3),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
( ~ transitive(esk1_0)
| ~ in(ordered_pair(esk2_0,esk4_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
( in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ transitive(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
( in(ordered_pair(esk3_0,esk4_0),esk1_0)
| ~ transitive(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_008,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_009,negated_conjecture,
( in(ordered_pair(X1,X2),esk1_0)
| transitive(esk1_0)
| ~ in(ordered_pair(X3,X2),esk1_0)
| ~ in(ordered_pair(X1,X3),esk1_0) ),
c_0_3,
[final] ).
cnf(c_0_9_010,negated_conjecture,
( ~ transitive(esk1_0)
| ~ in(ordered_pair(esk2_0,esk4_0),esk1_0) ),
c_0_4,
[final] ).
cnf(c_0_10_011,negated_conjecture,
( in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ transitive(esk1_0) ),
c_0_5,
[final] ).
cnf(c_0_11_012,negated_conjecture,
( in(ordered_pair(esk3_0,esk4_0),esk1_0)
| ~ transitive(esk1_0) ),
c_0_6,
[final] ).
cnf(c_0_12_013,negated_conjecture,
relation(esk1_0),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_98,plain,
( ~ is_transitive_in(X0,X1)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0)
| ~ relation(X0)
| in(ordered_pair(X2,X4),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_159_0) ).
cnf(c_261,plain,
( ~ is_transitive_in(X0,X1)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0)
| ~ relation(X0)
| in(ordered_pair(X2,X4),X0) ),
inference(copy,[status(esa)],[c_98]) ).
cnf(c_110897,plain,
( ~ relation(X0)
| ~ in(ordered_pair(sk2_esk2_0,X1),X0)
| in(ordered_pair(sk2_esk2_0,X2),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(sk2_esk2_0,relation_field(sk2_esk1_0))
| ~ in(X1,relation_field(sk2_esk1_0))
| ~ in(X2,relation_field(sk2_esk1_0))
| ~ is_transitive_in(X0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_261]) ).
cnf(c_220979,plain,
( ~ relation(X0)
| ~ in(ordered_pair(sk2_esk2_0,sk2_esk3_0),X0)
| in(ordered_pair(sk2_esk2_0,X1),X0)
| ~ in(ordered_pair(sk2_esk3_0,X1),X0)
| ~ in(sk2_esk2_0,relation_field(sk2_esk1_0))
| ~ in(sk2_esk3_0,relation_field(sk2_esk1_0))
| ~ in(X1,relation_field(sk2_esk1_0))
| ~ is_transitive_in(X0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_110897]) ).
cnf(c_352947,plain,
( ~ relation(X0)
| in(ordered_pair(sk2_esk2_0,sk2_esk4_0),X0)
| ~ in(ordered_pair(sk2_esk2_0,sk2_esk3_0),X0)
| ~ in(ordered_pair(sk2_esk3_0,sk2_esk4_0),X0)
| ~ in(sk2_esk2_0,relation_field(sk2_esk1_0))
| ~ in(sk2_esk4_0,relation_field(sk2_esk1_0))
| ~ in(sk2_esk3_0,relation_field(sk2_esk1_0))
| ~ is_transitive_in(X0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_220979]) ).
cnf(c_352948,plain,
( ~ relation(sk2_esk1_0)
| in(ordered_pair(sk2_esk2_0,sk2_esk4_0),sk2_esk1_0)
| ~ in(ordered_pair(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
| ~ in(ordered_pair(sk2_esk3_0,sk2_esk4_0),sk2_esk1_0)
| ~ in(sk2_esk2_0,relation_field(sk2_esk1_0))
| ~ in(sk2_esk4_0,relation_field(sk2_esk1_0))
| ~ in(sk2_esk3_0,relation_field(sk2_esk1_0))
| ~ is_transitive_in(sk2_esk1_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_352947]) ).
cnf(c_99,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk2_esk1_0)
| ~ in(ordered_pair(X1,X2),sk2_esk1_0)
| in(ordered_pair(X0,X2),sk2_esk1_0)
| transitive(sk2_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_8) ).
cnf(c_128,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk2_esk1_0)
| ~ in(ordered_pair(X1,X2),sk2_esk1_0)
| in(ordered_pair(X0,X2),sk2_esk1_0)
| transitive(sk2_esk1_0) ),
inference(copy,[status(esa)],[c_99]) ).
cnf(c_148,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk2_esk1_0)
| ~ in(ordered_pair(X1,X2),sk2_esk1_0)
| in(ordered_pair(X0,X2),sk2_esk1_0)
| transitive(sk2_esk1_0) ),
inference(copy,[status(esa)],[c_128]) ).
cnf(c_157,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk2_esk1_0)
| ~ in(ordered_pair(X1,X2),sk2_esk1_0)
| in(ordered_pair(X0,X2),sk2_esk1_0)
| transitive(sk2_esk1_0) ),
inference(copy,[status(esa)],[c_148]) ).
cnf(c_158,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk2_esk1_0)
| ~ in(ordered_pair(X1,X2),sk2_esk1_0)
| in(ordered_pair(X0,X2),sk2_esk1_0)
| transitive(sk2_esk1_0) ),
inference(copy,[status(esa)],[c_157]) ).
cnf(c_262,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk2_esk1_0)
| ~ in(ordered_pair(X1,X2),sk2_esk1_0)
| in(ordered_pair(X0,X2),sk2_esk1_0)
| transitive(sk2_esk1_0) ),
inference(copy,[status(esa)],[c_158]) ).
cnf(c_37058,plain,
( ~ in(ordered_pair(sk1_esk2_2(sk2_esk1_0,relation_field(sk2_esk1_0)),X0),sk2_esk1_0)
| ~ in(ordered_pair(sk1_esk1_2(sk2_esk1_0,relation_field(sk2_esk1_0)),sk1_esk2_2(sk2_esk1_0,relation_field(sk2_esk1_0))),sk2_esk1_0)
| in(ordered_pair(sk1_esk1_2(sk2_esk1_0,relation_field(sk2_esk1_0)),X0),sk2_esk1_0)
| transitive(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_262]) ).
cnf(c_37458,plain,
( ~ in(ordered_pair(sk1_esk2_2(sk2_esk1_0,relation_field(sk2_esk1_0)),sk1_esk3_2(sk2_esk1_0,relation_field(sk2_esk1_0))),sk2_esk1_0)
| in(ordered_pair(sk1_esk1_2(sk2_esk1_0,relation_field(sk2_esk1_0)),sk1_esk3_2(sk2_esk1_0,relation_field(sk2_esk1_0))),sk2_esk1_0)
| ~ in(ordered_pair(sk1_esk1_2(sk2_esk1_0,relation_field(sk2_esk1_0)),sk1_esk2_2(sk2_esk1_0,relation_field(sk2_esk1_0))),sk2_esk1_0)
| transitive(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_37058]) ).
cnf(c_81,plain,
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X0,relation_field(X2)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_163_0) ).
cnf(c_244,plain,
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X0,relation_field(X2)) ),
inference(copy,[status(esa)],[c_81]) ).
cnf(c_37186,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk2_esk3_0,sk2_esk4_0),sk2_esk1_0)
| in(sk2_esk3_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_76,plain,
( in(X0,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_164_2) ).
cnf(c_239,plain,
( in(X0,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),X1) ),
inference(copy,[status(esa)],[c_76]) ).
cnf(c_37185,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk2_esk3_0,sk2_esk4_0),sk2_esk1_0)
| in(sk2_esk4_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_37163,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
| in(sk2_esk2_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_88,plain,
( is_transitive_in(X0,X1)
| ~ relation(X0)
| ~ in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk3_2(X0,X1)),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_160_2) ).
cnf(c_251,plain,
( is_transitive_in(X0,X1)
| ~ relation(X0)
| ~ in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk3_2(X0,X1)),X0) ),
inference(copy,[status(esa)],[c_88]) ).
cnf(c_36891,plain,
( ~ relation(X0)
| ~ in(ordered_pair(sk1_esk1_2(X0,relation_field(X0)),sk1_esk3_2(X0,relation_field(X0))),X0)
| is_transitive_in(X0,relation_field(X0)) ),
inference(instantiation,[status(thm)],[c_251]) ).
cnf(c_36892,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk1_esk1_2(sk2_esk1_0,relation_field(sk2_esk1_0)),sk1_esk3_2(sk2_esk1_0,relation_field(sk2_esk1_0))),sk2_esk1_0)
| is_transitive_in(sk2_esk1_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_36891]) ).
cnf(c_85,plain,
( is_transitive_in(X0,X1)
| in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk2_2(X0,X1)),X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_161_2) ).
cnf(c_248,plain,
( is_transitive_in(X0,X1)
| in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk2_2(X0,X1)),X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_85]) ).
cnf(c_36887,plain,
( ~ relation(X0)
| in(ordered_pair(sk1_esk1_2(X0,relation_field(X0)),sk1_esk2_2(X0,relation_field(X0))),X0)
| is_transitive_in(X0,relation_field(X0)) ),
inference(instantiation,[status(thm)],[c_248]) ).
cnf(c_36888,plain,
( ~ relation(sk2_esk1_0)
| in(ordered_pair(sk1_esk1_2(sk2_esk1_0,relation_field(sk2_esk1_0)),sk1_esk2_2(sk2_esk1_0,relation_field(sk2_esk1_0))),sk2_esk1_0)
| is_transitive_in(sk2_esk1_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_36887]) ).
cnf(c_82,plain,
( is_transitive_in(X0,X1)
| in(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1)),X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_162_2) ).
cnf(c_245,plain,
( is_transitive_in(X0,X1)
| in(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1)),X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_82]) ).
cnf(c_36883,plain,
( ~ relation(X0)
| in(ordered_pair(sk1_esk2_2(X0,relation_field(X0)),sk1_esk3_2(X0,relation_field(X0))),X0)
| is_transitive_in(X0,relation_field(X0)) ),
inference(instantiation,[status(thm)],[c_245]) ).
cnf(c_36884,plain,
( ~ relation(sk2_esk1_0)
| in(ordered_pair(sk1_esk2_2(sk2_esk1_0,relation_field(sk2_esk1_0)),sk1_esk3_2(sk2_esk1_0,relation_field(sk2_esk1_0))),sk2_esk1_0)
| is_transitive_in(sk2_esk1_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_36883]) ).
cnf(c_50,plain,
( ~ transitive(X0)
| ~ relation(X0)
| is_transitive_in(X0,relation_field(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_177_0) ).
cnf(c_116,plain,
( ~ relation(sk2_esk1_0)
| ~ transitive(sk2_esk1_0)
| is_transitive_in(sk2_esk1_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_60,plain,
( ~ is_transitive_in(X0,relation_field(X0))
| ~ relation(X0)
| transitive(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_173_0) ).
cnf(c_113,plain,
( ~ relation(sk2_esk1_0)
| transitive(sk2_esk1_0)
| ~ is_transitive_in(sk2_esk1_0,relation_field(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_100,negated_conjecture,
( ~ in(ordered_pair(sk2_esk2_0,sk2_esk4_0),sk2_esk1_0)
| ~ transitive(sk2_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_9) ).
cnf(c_101,negated_conjecture,
( in(ordered_pair(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
| ~ transitive(sk2_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_10) ).
cnf(c_102,negated_conjecture,
( in(ordered_pair(sk2_esk3_0,sk2_esk4_0),sk2_esk1_0)
| ~ transitive(sk2_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_11) ).
cnf(c_103,negated_conjecture,
relation(sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p',c_0_12) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_352948,c_37458,c_37186,c_37185,c_37163,c_36892,c_36888,c_36884,c_116,c_113,c_100,c_101,c_102,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 01:10:33 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.21/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41 % FOF problem with conjecture
% 0.21/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a7ad41.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_52f610.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_81b2cb | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.37/0.65 % --bmc1_dump_unsat_core_tptp false
% 0.37/0.65 % --bmc1_dump_file -
% 0.37/0.65 % --bmc1_ucm_expand_uc_limit 128
% 0.37/0.65 % --bmc1_ucm_n_expand_iterations 6
% 0.37/0.65 % --bmc1_ucm_extend_mode 1
% 0.37/0.65 % --bmc1_ucm_init_mode 2
% 0.37/0.65 % --bmc1_ucm_cone_mode none
% 0.37/0.65 % --bmc1_ucm_reduced_relation_type 0
% 0.37/0.65 % --bmc1_ucm_relax_model 4
% 0.37/0.65 % --bmc1_ucm_full_tr_after_sat true
% 0.37/0.65 % --bmc1_ucm_expand_neg_assumptions false
% 0.37/0.65 % --bmc1_ucm_layered_model none
% 0.37/0.65 % --bmc1_ucm_max_lemma_size 10
% 0.37/0.65
% 0.37/0.65 % ------ AIG Options
% 0.37/0.65
% 0.37/0.65 % --aig_mode false
% 0.37/0.65
% 0.37/0.65 % ------ Instantiation Options
% 0.37/0.65
% 0.37/0.65 % --instantiation_flag true
% 0.37/0.65 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.37/0.65 % --inst_solver_per_active 750
% 0.37/0.65 % --inst_solver_calls_frac 0.5
% 0.37/0.65 % --inst_passive_queue_type priority_queues
% 0.37/0.65 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.37/0.65 % --inst_passive_queues_freq [25;2]
% 0.37/0.65 % --inst_dismatching true
% 0.37/0.65 % --inst_eager_unprocessed_to_passive true
% 0.37/0.65 % --inst_prop_sim_given true
% 0.37/0.65 % --inst_prop_sim_new false
% 0.37/0.65 % --inst_orphan_elimination true
% 0.37/0.65 % --inst_learning_loop_flag true
% 0.37/0.65 % --inst_learning_start 3000
% 0.37/0.65 % --inst_learning_factor 2
% 0.37/0.65 % --inst_start_prop_sim_after_learn 3
% 0.37/0.65 % --inst_sel_renew solver
% 0.37/0.65 % --inst_lit_activity_flag true
% 0.37/0.65 % --inst_out_proof true
% 0.37/0.65
% 0.37/0.65 % ------ Resolution Options
% 0.37/0.65
% 0.37/0.65 % --resolution_flag true
% 0.37/0.65 % --res_lit_sel kbo_max
% 0.37/0.65 % --res_to_prop_solver none
% 0.37/0.65 % --res_prop_simpl_new false
% 0.37/0.65 % --res_prop_simpl_given false
% 0.37/0.65 % --res_passive_queue_type priority_queues
% 0.37/0.65 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.37/0.65 % --res_passive_queues_freq [15;5]
% 0.37/0.65 % --res_forward_subs full
% 0.37/0.65 % --res_backward_subs full
% 0.37/0.65 % --res_forward_subs_resolution true
% 0.37/0.65 % --res_backward_subs_resolution true
% 0.37/0.65 % --res_orphan_elimination false
% 0.37/0.65 % --res_time_limit 1000.
% 0.37/0.65 % --res_out_proof true
% 0.37/0.65 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a7ad41.s
% 0.37/0.65 % --modulo true
% 0.37/0.65
% 0.37/0.65 % ------ Combination Options
% 0.37/0.65
% 0.37/0.65 % --comb_res_mult 1000
% 0.37/0.65 % --comb_inst_mult 300
% 0.37/0.65 % ------
% 0.37/0.65
% 0.37/0.65 % ------ Parsing...% successful
% 0.37/0.65
% 0.37/0.65 % ------ 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 %
% 0.37/0.65
% 0.37/0.65 % ------ Proving...
% 0.37/0.65 % ------ Problem Properties
% 0.37/0.65
% 0.37/0.65 %
% 0.37/0.65 % EPR false
% 0.37/0.65 % Horn false
% 0.37/0.65 % Has equality true
% 0.37/0.65
% 0.37/0.65 % % ------ Input Options Time Limit: Unbounded
% 0.37/0.65
% 0.37/0.65
% 0.37/0.65 Compiling...
% 0.37/0.65 Loading plugin: done.
% 0.37/0.65 Compiling...
% 0.37/0.65 Loading plugin: done.
% 0.37/0.65 % % ------ Current options:
% 0.37/0.65
% 0.37/0.65 % ------ Input Options
% 0.37/0.65
% 0.37/0.65 % --out_options all
% 0.37/0.65 % --tptp_safe_out true
% 0.37/0.65 % --problem_path ""
% 0.37/0.65 % --include_path ""
% 0.37/0.65 % --clausifier .//eprover
% 0.37/0.65 % --clausifier_options --tstp-format
% 0.37/0.65 % --stdin false
% 0.37/0.65 % --dbg_backtrace false
% 0.37/0.65 % --dbg_dump_prop_clauses false
% 0.37/0.65 % --dbg_dump_prop_clauses_file -
% 0.37/0.65 % --dbg_out_stat false
% 0.37/0.65
% 0.37/0.65 % ------ General Options
% 0.37/0.65
% 0.37/0.65 % --fof false
% 0.37/0.65 % --time_out_real 150.
% 0.37/0.65 % --time_out_prep_mult 0.2
% 0.37/0.65 % --time_out_virtual -1.
% 0.37/0.65 % --schedule none
% 0.37/0.65 % --ground_splitting input
% 0.37/0.65 % --splitting_nvd 16
% 0.37/0.65 % --non_eq_to_eq false
% 0.37/0.65 % --prep_gs_sim true
% 0.37/0.65 % --prep_unflatten false
% 0.37/0.65 % --prep_res_sim true
% 0.37/0.65 % --prep_upred true
% 0.37/0.65 % --res_sim_input true
% 0.37/0.65 % --clause_weak_htbl true
% 0.37/0.65 % --gc_record_bc_elim false
% 0.37/0.65 % --symbol_type_check false
% 0.37/0.65 % --clausify_out false
% 0.37/0.65 % --large_theory_mode false
% 0.37/0.65 % --prep_sem_filter none
% 0.37/0.65 % --prep_sem_filter_out false
% 0.37/0.65 % --preprocessed_out false
% 0.37/0.65 % --sub_typing false
% 0.37/0.65 % --brand_transform false
% 0.37/0.65 % --pure_diseq_elim true
% 0.37/0.65 % --min_unsat_core false
% 0.37/0.65 % --pred_elim true
% 0.37/0.65 % --add_important_lit false
% 0.37/0.65 % --soft_assumptions false
% 0.37/0.65 % --reset_solvers false
% 0.37/0.65 % --bc_imp_inh []
% 0.37/0.65 % --conj_cone_tolerance 1.5
% 0.37/0.65 % --prolific_symb_bound 500
% 0.37/0.65 % --lt_threshold 2000
% 0.37/0.65
% 0.37/0.65 % ------ SAT Options
% 0.37/0.65
% 0.37/0.65 % --sat_mode false
% 0.37/0.65 % --sat_fm_restart_options ""
% 0.37/0.65 % --sat_gr_def false
% 0.37/0.65 % --sat_epr_types true
% 0.37/0.65 % --sat_non_cyclic_types false
% 0.37/0.65 % --sat_finite_models false
% 0.37/0.65 % --sat_fm_lemmas false
% 0.37/0.65 % --sat_fm_prep false
% 0.37/0.65 % --sat_fm_uc_incr true
% 0.37/0.65 % --sat_out_model small
% 0.37/0.65 % --sat_out_clauses false
% 0.37/0.65
% 0.37/0.65 % ------ QBF Options
% 0.37/0.65
% 0.37/0.65 % --qbf_mode false
% 0.37/0.65 % --qbf_elim_univ true
% 0.37/0.65 % --qbf_sk_in true
% 0.37/0.65 % --qbf_pred_elim true
% 0.37/0.65 % --qbf_split 32
% 0.37/0.65
% 0.37/0.65 % ------ BMC1 Options
% 0.37/0.65
% 0.37/0.65 % --bmc1_incremental false
% 0.37/0.65 % --bmc1_axioms reachable_all
% 0.37/0.65 % --bmc1_min_bound 0
% 0.37/0.65 % --bmc1_max_bound -1
% 0.37/0.65 % --bmc1_max_bound_default -1
% 0.37/0.65 % --bmc1_symbol_reachability true
% 0.37/0.65 % --bmc1_property_lemmas false
% 0.37/0.65 % --bmc1_k_induction false
% 0.37/0.65 % --bmc1_non_equiv_states false
% 0.37/0.65 % --bmc1_deadlock false
% 0.37/0.65 % --bmc1_ucm false
% 0.37/0.65 % --bmc1_add_unsat_core none
% 0.37/0.65 % --bmc1_unsat_core_children false
% 0.37/0.65 % --bmc1_unsat_core_extrapolate_axioms false
% 0.37/0.65 % --bmc1_out_stat full
% 0.37/0.65 % --bmc1_ground_init false
% 0.37/0.65 % --bmc1_pre_inst_next_state false
% 0.37/0.65 % --bmc1_pre_inst_state false
% 0.37/0.65 % --bmc1_pre_inst_reach_state false
% 0.37/0.65 % --bmc1_out_unsat_core false
% 0.37/0.65 % --bmc1_aig_witness_out false
% 0.37/0.65 % --bmc1_verbose false
% 0.37/0.65 % --bmc1_dump_clauses_tptp false
% 0.37/0.65 % --bmc1_dump_unsat_core_tptp false
% 0.37/0.65 % --bmc1_dump_file -
% 0.37/0.65 % --bmc1_ucm_expand_uc_limit 128
% 0.37/0.65 % --bmc1_ucm_n_expand_iterations 6
% 0.37/0.65 % --bmc1_ucm_extend_mode 1
% 0.37/0.65 % --bmc1_ucm_init_mode 2
% 0.37/0.65 % --bmc1_ucm_cone_mode none
% 0.37/0.65 % --bmc1_ucm_reduced_relation_type 0
% 0.37/0.65 % --bmc1_ucm_relax_model 4
% 0.37/0.65 % --bmc1_ucm_full_tr_after_sat true
% 0.37/0.65 % --bmc1_ucm_expand_neg_assumptions false
% 0.37/0.65 % --bmc1_ucm_layered_model none
% 0.37/0.65 % --bmc1_ucm_max_lemma_size 10
% 0.37/0.65
% 0.37/0.65 % ------ AIG Options
% 0.37/0.65
% 0.37/0.65 % --aig_mode false
% 0.37/0.65
% 0.37/0.65 % ------ Instantiation Options
% 0.37/0.65
% 0.37/0.65 % --instantiation_flag true
% 0.37/0.65 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.37/0.65 % --inst_solver_per_active 750
% 0.37/0.65 % --inst_solver_calls_frac 0.5
% 0.37/0.65 % --inst_passive_queue_type priority_queues
% 0.37/0.65 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.37/0.65 % --inst_passive_queues_freq [25;2]
% 0.37/0.65 % --inst_dismatching true
% 0.37/0.66 % --inst_eager_unprocessed_to_passive true
% 0.37/0.66 % --inst_prop_sim_given true
% 0.37/0.66 % --inst_prop_sim_new false
% 0.37/0.66 % --inst_orphan_elimination true
% 0.37/0.66 % --inst_learning_loop_flag true
% 0.37/0.66 % --inst_learning_start 3000
% 0.37/0.66 % --inst_learning_factor 2
% 0.37/0.66 % --inst_start_prop_sim_after_learn 3
% 0.37/0.66 % --inst_sel_renew solver
% 0.37/0.66 % --inst_lit_activity_flag true
% 0.37/0.66 % --inst_out_proof true
% 0.37/0.66
% 0.37/0.66 % ------ Resolution Options
% 0.37/0.66
% 0.37/0.66 % --resolution_flag true
% 0.37/0.66 % --res_lit_sel kbo_max
% 0.37/0.66 % --res_to_prop_solver none
% 0.37/0.66 % --res_prop_simpl_new false
% 0.37/0.66 % --res_prop_simpl_given false
% 0.37/0.66 % --res_passive_queue_type priority_queues
% 0.37/0.66 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.37/0.66 % --res_passive_queues_freq [15;5]
% 0.37/0.66 % --res_forward_subs full
% 0.37/0.66 % --res_backward_subs full
% 0.37/0.66 % --res_forward_subs_resolution true
% 0.37/0.66 % --res_backward_subs_resolution true
% 0.37/0.66 % --res_orphan_elimination false
% 0.37/0.66 % --res_time_limit 1000.
% 0.37/0.66 % --res_out_proof true
% 0.37/0.66 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a7ad41.s
% 0.37/0.66 % --modulo true
% 0.37/0.66
% 0.37/0.66 % ------ Combination Options
% 0.37/0.66
% 0.37/0.66 % --comb_res_mult 1000
% 0.37/0.66 % --comb_inst_mult 300
% 0.37/0.66 % ------
% 0.37/0.66
% 0.37/0.66
% 0.37/0.66
% 0.37/0.66 % ------ Proving...
% 0.37/0.66 % warning: shown sat in sat incomplete mode
% 0.37/0.66 %
% 0.37/0.66
% 0.37/0.66
% 0.37/0.66
% 0.37/0.66
% 0.37/0.66 cnf(c_67,negated_conjecture,
% 0.37/0.66 ( relation(sk3_esk1_0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_12) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_100,negated_conjecture,
% 0.37/0.66 ( relation(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_67]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_116,negated_conjecture,
% 0.37/0.66 ( relation(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_100]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_117,negated_conjecture,
% 0.37/0.66 ( relation(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_116]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_126,negated_conjecture,
% 0.37/0.66 ( relation(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_117]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_326,negated_conjecture,
% 0.37/0.66 ( relation(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_126]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_59,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1)),X0)
% 0.37/0.66 | is_transitive_in(X0,X1)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_119_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_310,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1)),X0)
% 0.37/0.66 | is_transitive_in(X0,X1)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_59]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_311,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1)),X0)
% 0.37/0.66 | ~ relation(X0)
% 0.37/0.66 | is_transitive_in(X0,X1) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_310]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_333,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk2_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_326,c_311]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_346,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk2_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_333]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_63,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X1,X2),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(X0,X2),sk3_esk1_0)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_8) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_92,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X1,X2),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(X0,X2),sk3_esk1_0)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_63]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_112,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X1,X2),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(X0,X2),sk3_esk1_0)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_92]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_121,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X1,X2),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(X0,X2),sk3_esk1_0)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_112]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_122,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X1,X2),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(X0,X2),sk3_esk1_0)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_121]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_318,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X1,X2),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(X0,X2),sk3_esk1_0)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_122]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_470,plain,
% 0.37/0.66 ( in(ordered_pair(X0,sk1_esk3_2(sk3_esk1_0,X1)),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X0,sk1_esk2_2(sk3_esk1_0,X1)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X1)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_346,c_318]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_471,plain,
% 0.37/0.66 ( in(ordered_pair(X0,sk1_esk3_2(sk3_esk1_0,X1)),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X0,sk1_esk2_2(sk3_esk1_0,X1)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X1)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_470]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_60,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk2_2(X0,X1)),X0)
% 0.37/0.66 | is_transitive_in(X0,X1)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_118_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_312,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk2_2(X0,X1)),X0)
% 0.37/0.66 | is_transitive_in(X0,X1)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_60]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_313,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk2_2(X0,X1)),X0)
% 0.37/0.66 | ~ relation(X0)
% 0.37/0.66 | is_transitive_in(X0,X1) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_312]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_332,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk2_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_326,c_313]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_347,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk2_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_332]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_498,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_471,c_347]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_499,plain,
% 0.37/0.66 ( in(ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0)
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_498]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_61,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk3_2(X0,X1)),X0)
% 0.37/0.66 | is_transitive_in(X0,X1)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_117_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_314,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk3_2(X0,X1)),X0)
% 0.37/0.66 | is_transitive_in(X0,X1)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_61]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_315,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk3_2(X0,X1)),X0)
% 0.37/0.66 | ~ relation(X0)
% 0.37/0.66 | is_transitive_in(X0,X1) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_314]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_331,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_326,c_315]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_348,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_331]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_648,plain,
% 0.37/0.66 ( is_transitive_in(sk3_esk1_0,X0) | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(forward_subsumption_resolution,[status(thm)],[c_499,c_348]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_649,plain,
% 0.37/0.66 ( is_transitive_in(sk3_esk1_0,X0) | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_648]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_51,plain,
% 0.37/0.66 ( ~ is_transitive_in(X0,relation_field(X0))
% 0.37/0.66 | transitive(X0)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_127_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_294,plain,
% 0.37/0.66 ( ~ is_transitive_in(X0,relation_field(X0))
% 0.37/0.66 | transitive(X0)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_51]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_295,plain,
% 0.37/0.66 ( ~ relation(X0)
% 0.37/0.66 | ~ is_transitive_in(X0,relation_field(X0))
% 0.37/0.66 | transitive(X0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_294]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_337,plain,
% 0.37/0.66 ( ~ is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_326,c_295]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_342,plain,
% 0.37/0.66 ( ~ is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
% 0.37/0.66 | transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_337]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_651,plain,
% 0.37/0.66 ( transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_649,c_342]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_654,negated_conjecture,
% 0.37/0.66 ( transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_651]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_66,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_11) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_98,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_66]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_115,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_98]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_118,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_115]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_125,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_118]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_324,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_125]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_660,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_324]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_679,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_660]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_62,plain,
% 0.37/0.66 ( ~ is_transitive_in(X0,X1)
% 0.37/0.66 | ~ in(X2,X1)
% 0.37/0.66 | ~ in(X3,X1)
% 0.37/0.66 | ~ in(X4,X1)
% 0.37/0.66 | ~ in(ordered_pair(X2,X3),X0)
% 0.37/0.66 | ~ in(ordered_pair(X3,X4),X0)
% 0.37/0.66 | in(ordered_pair(X2,X4),X0)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_116_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_316,plain,
% 0.37/0.66 ( ~ is_transitive_in(X0,X1)
% 0.37/0.66 | ~ in(X2,X1)
% 0.37/0.66 | ~ in(X3,X1)
% 0.37/0.66 | ~ in(X4,X1)
% 0.37/0.66 | ~ in(ordered_pair(X2,X3),X0)
% 0.37/0.66 | ~ in(ordered_pair(X3,X4),X0)
% 0.37/0.66 | in(ordered_pair(X2,X4),X0)
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_62]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_317,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),X2)
% 0.37/0.66 | ~ in(ordered_pair(X1,X3),X2)
% 0.37/0.66 | in(ordered_pair(X0,X3),X2)
% 0.37/0.66 | ~ in(X0,X4)
% 0.37/0.66 | ~ in(X1,X4)
% 0.37/0.66 | ~ in(X3,X4)
% 0.37/0.66 | ~ relation(X2)
% 0.37/0.66 | ~ is_transitive_in(X2,X4) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_316]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_330,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,X0),X1)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,X2),X1)
% 0.37/0.66 | ~ in(ordered_pair(X0,X2),X1)
% 0.37/0.66 | ~ in(sk3_esk1_0,X3)
% 0.37/0.66 | ~ in(X0,X3)
% 0.37/0.66 | ~ in(X2,X3)
% 0.37/0.66 | ~ relation(X1)
% 0.37/0.66 | ~ is_transitive_in(X1,X3) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_326,c_317]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_349,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,X0),X1)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,X2),X1)
% 0.37/0.66 | ~ in(ordered_pair(X0,X2),X1)
% 0.37/0.66 | ~ in(sk3_esk1_0,X3)
% 0.37/0.66 | ~ in(X0,X3)
% 0.37/0.66 | ~ in(X2,X3)
% 0.37/0.66 | ~ relation(X1)
% 0.37/0.66 | ~ is_transitive_in(X1,X3) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_330]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_47,plain,
% 0.37/0.66 ( ~ transitive(X0)
% 0.37/0.66 | is_transitive_in(X0,relation_field(X0))
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_131_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_286,plain,
% 0.37/0.66 ( ~ transitive(X0)
% 0.37/0.66 | is_transitive_in(X0,relation_field(X0))
% 0.37/0.66 | ~ relation(X0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_47]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_287,plain,
% 0.37/0.66 ( ~ relation(X0)
% 0.37/0.66 | is_transitive_in(X0,relation_field(X0))
% 0.37/0.66 | ~ transitive(X0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_286]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_339,plain,
% 0.37/0.66 ( is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_326,c_287]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_340,plain,
% 0.37/0.66 ( is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_339]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_524,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,X0),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(sk3_esk1_0,relation_field(sk3_esk1_0))
% 0.37/0.66 | ~ in(X0,relation_field(sk3_esk1_0))
% 0.37/0.66 | ~ in(X1,relation_field(sk3_esk1_0))
% 0.37/0.66 | ~ relation(sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_349,c_340]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_525,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,X0),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(sk3_esk1_0,relation_field(sk3_esk1_0))
% 0.37/0.66 | ~ in(X0,relation_field(sk3_esk1_0))
% 0.37/0.66 | ~ in(X1,relation_field(sk3_esk1_0))
% 0.37/0.66 | ~ relation(sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_524]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_57,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),X2)
% 0.37/0.66 | in(X1,relation_field(X2))
% 0.37/0.66 | ~ relation(X2) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_121_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_306,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),X2)
% 0.37/0.66 | in(X1,relation_field(X2))
% 0.37/0.66 | ~ relation(X2) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_57]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_351,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | in(X1,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_326,c_306]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_352,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | in(X1,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_351]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_58,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),X2)
% 0.37/0.66 | in(X0,relation_field(X2))
% 0.37/0.66 | ~ relation(X2) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_120_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_308,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),X2)
% 0.37/0.66 | in(X0,relation_field(X2))
% 0.37/0.66 | ~ relation(X2) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_58]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_350,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | in(X0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_326,c_308]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_353,plain,
% 0.37/0.66 ( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
% 0.37/0.66 | in(X0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_350]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_632,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,X0),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X0,X1),sk3_esk1_0) ),
% 0.37/0.66 inference(forward_subsumption_resolution,
% 0.37/0.66 [status(thm)],
% 0.37/0.66 [c_525,c_318,c_326,c_352,c_352,c_353]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_633,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,X0),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,X1),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(X0,X1),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_632]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_734,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(sk3_esk1_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_679,c_633]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_739,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(sk3_esk1_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_734]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_65,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_10) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_96,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_65]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_114,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_96]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_119,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_114]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_124,negated_conjecture,
% 0.37/0.66 ( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_119]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_322,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_124]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_663,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_322]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_676,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_663]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_722,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_676,c_633]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_727,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_722]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_766,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_739,c_727]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_767,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | in(ordered_pair(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_766]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_46,plain,
% 0.37/0.66 ( element(X0,X1) | ~ in(X0,X1) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_132_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_284,plain,
% 0.37/0.66 ( element(X0,X1) | ~ in(X0,X1) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_46]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_285,plain,
% 0.37/0.66 ( ~ in(X0,X1) | element(X0,X1) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_284]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_824,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | element(ordered_pair(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_767,c_285]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_825,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | element(ordered_pair(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_824]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_50,plain,
% 0.37/0.66 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_128_0) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_292,plain,
% 0.37/0.66 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_50]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_822,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | ~ in(sk3_esk1_0,ordered_pair(sk3_esk1_0,sk3_esk4_0)) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_767,c_292]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_823,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | ~ in(sk3_esk1_0,ordered_pair(sk3_esk1_0,sk3_esk4_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_822]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_754,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | element(ordered_pair(sk3_esk1_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_727,c_285]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_755,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | element(ordered_pair(sk3_esk1_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_754]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_752,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | ~ in(sk3_esk1_0,ordered_pair(sk3_esk1_0,sk3_esk3_0)) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_727,c_292]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_753,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
% 0.37/0.66 | ~ in(sk3_esk1_0,ordered_pair(sk3_esk1_0,sk3_esk3_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_752]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_446,plain,
% 0.37/0.66 ( in(sk3_esk3_0,relation_field(sk3_esk1_0)) | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_352,c_322]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_447,plain,
% 0.37/0.66 ( in(sk3_esk3_0,relation_field(sk3_esk1_0)) | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_446]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_666,plain,
% 0.37/0.66 ( in(sk3_esk3_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_447]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_673,plain,
% 0.37/0.66 ( in(sk3_esk3_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_666]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_714,plain,
% 0.37/0.66 ( element(sk3_esk3_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_673,c_285]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_715,plain,
% 0.37/0.66 ( element(sk3_esk3_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_714]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_712,plain,
% 0.37/0.66 ( ~ in(relation_field(sk3_esk1_0),sk3_esk3_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_673,c_292]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_713,plain,
% 0.37/0.66 ( ~ in(relation_field(sk3_esk1_0),sk3_esk3_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_712]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_454,plain,
% 0.37/0.66 ( in(sk3_esk2_0,relation_field(sk3_esk1_0)) | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_353,c_322]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_455,plain,
% 0.37/0.66 ( in(sk3_esk2_0,relation_field(sk3_esk1_0)) | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_454]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_667,plain,
% 0.37/0.66 ( in(sk3_esk2_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_455]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_672,plain,
% 0.37/0.66 ( in(sk3_esk2_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_667]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_708,plain,
% 0.37/0.66 ( element(sk3_esk2_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_672,c_285]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_709,plain,
% 0.37/0.66 ( element(sk3_esk2_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_708]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_706,plain,
% 0.37/0.66 ( ~ in(relation_field(sk3_esk1_0),sk3_esk2_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_672,c_292]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_707,plain,
% 0.37/0.66 ( ~ in(relation_field(sk3_esk1_0),sk3_esk2_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_706]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_448,plain,
% 0.37/0.66 ( in(sk3_esk4_0,relation_field(sk3_esk1_0)) | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_352,c_324]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_449,plain,
% 0.37/0.66 ( in(sk3_esk4_0,relation_field(sk3_esk1_0)) | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_448]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_669,plain,
% 0.37/0.66 ( in(sk3_esk4_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_449]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_670,plain,
% 0.37/0.66 ( in(sk3_esk4_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_669]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_702,plain,
% 0.37/0.66 ( element(sk3_esk4_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_670,c_285]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_703,plain,
% 0.37/0.66 ( element(sk3_esk4_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_702]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_700,plain,
% 0.37/0.66 ( ~ in(relation_field(sk3_esk1_0),sk3_esk4_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_670,c_292]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_701,plain,
% 0.37/0.66 ( ~ in(relation_field(sk3_esk1_0),sk3_esk4_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_700]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_64,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk2_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_9) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_94,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk2_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_64]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_113,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk2_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_94]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_120,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk2_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_113]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_123,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk2_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_120]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_320,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk2_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(copy,[status(esa)],[c_123]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_668,negated_conjecture,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk2_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_320]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_671,plain,
% 0.37/0.66 ( ~ in(ordered_pair(sk3_esk2_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_668]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_360,plain,
% 0.37/0.66 ( element(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_322,c_285]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_361,plain,
% 0.37/0.66 ( element(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_360]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_665,plain,
% 0.37/0.66 ( element(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_361]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_674,plain,
% 0.37/0.66 ( element(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_665]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_358,plain,
% 0.37/0.66 ( ~ in(sk3_esk1_0,ordered_pair(sk3_esk2_0,sk3_esk3_0))
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_322,c_292]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_359,plain,
% 0.37/0.66 ( ~ in(sk3_esk1_0,ordered_pair(sk3_esk2_0,sk3_esk3_0))
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_358]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_664,plain,
% 0.37/0.66 ( ~ in(sk3_esk1_0,ordered_pair(sk3_esk2_0,sk3_esk3_0)) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_359]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_675,plain,
% 0.37/0.66 ( ~ in(sk3_esk1_0,ordered_pair(sk3_esk2_0,sk3_esk3_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_664]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_368,plain,
% 0.37/0.66 ( element(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_324,c_285]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_369,plain,
% 0.37/0.66 ( element(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_368]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_662,plain,
% 0.37/0.66 ( element(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_369]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_677,plain,
% 0.37/0.66 ( element(ordered_pair(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_662]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_366,plain,
% 0.37/0.66 ( ~ in(sk3_esk1_0,ordered_pair(sk3_esk3_0,sk3_esk4_0))
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_324,c_292]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_367,plain,
% 0.37/0.66 ( ~ in(sk3_esk1_0,ordered_pair(sk3_esk3_0,sk3_esk4_0))
% 0.37/0.66 | ~ transitive(sk3_esk1_0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_366]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_661,plain,
% 0.37/0.66 ( ~ in(sk3_esk1_0,ordered_pair(sk3_esk3_0,sk3_esk4_0)) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_654,c_367]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_678,plain,
% 0.37/0.66 ( ~ in(sk3_esk1_0,ordered_pair(sk3_esk3_0,sk3_esk4_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_661]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_653,plain,
% 0.37/0.66 ( is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(backward_subsumption_resolution,[status(thm)],[c_649,c_340]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_655,plain,
% 0.37/0.66 ( is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_653]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_643,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk1_0,sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(sk3_esk1_0,sk1_esk2_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_633,c_346]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_644,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk1_0,sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(sk3_esk1_0,sk1_esk2_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_643]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_641,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk1_0,sk1_esk2_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(sk3_esk1_0,sk1_esk1_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_633,c_347]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_642,plain,
% 0.37/0.66 ( in(ordered_pair(sk3_esk1_0,sk1_esk2_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | ~ in(ordered_pair(sk3_esk1_0,sk1_esk1_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_641]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_480,plain,
% 0.37/0.66 ( in(sk1_esk1_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(resolution,[status(thm)],[c_347,c_353]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_483,plain,
% 0.37/0.66 ( in(sk1_esk1_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.66 inference(rewriting,[status(thm)],[c_480]) ).
% 0.37/0.66
% 0.37/0.66 cnf(c_602,plain,
% 0.37/0.66 ( element(sk1_esk1_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.66 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_483,c_285]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_603,plain,
% 0.37/0.67 ( element(sk1_esk1_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_602]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_600,plain,
% 0.37/0.67 ( ~ in(relation_field(sk3_esk1_0),sk1_esk1_2(sk3_esk1_0,X0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_483,c_292]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_601,plain,
% 0.37/0.67 ( ~ in(relation_field(sk3_esk1_0),sk1_esk1_2(sk3_esk1_0,X0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_600]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_466,plain,
% 0.37/0.67 ( in(sk1_esk2_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_346,c_353]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_469,plain,
% 0.37/0.67 ( in(sk1_esk2_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_466]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_594,plain,
% 0.37/0.67 ( element(sk1_esk2_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_469,c_285]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_595,plain,
% 0.37/0.67 ( element(sk1_esk2_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_594]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_592,plain,
% 0.37/0.67 ( ~ in(relation_field(sk3_esk1_0),sk1_esk2_2(sk3_esk1_0,X0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_469,c_292]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_593,plain,
% 0.37/0.67 ( ~ in(relation_field(sk3_esk1_0),sk1_esk2_2(sk3_esk1_0,X0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_592]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_467,plain,
% 0.37/0.67 ( in(sk1_esk3_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_346,c_352]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_468,plain,
% 0.37/0.67 ( in(sk1_esk3_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_467]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_586,plain,
% 0.37/0.67 ( element(sk1_esk3_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_468,c_285]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_587,plain,
% 0.37/0.67 ( element(sk1_esk3_2(sk3_esk1_0,X0),relation_field(sk3_esk1_0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_586]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_584,plain,
% 0.37/0.67 ( ~ in(relation_field(sk3_esk1_0),sk1_esk3_2(sk3_esk1_0,X0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_468,c_292]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_585,plain,
% 0.37/0.67 ( ~ in(relation_field(sk3_esk1_0),sk1_esk3_2(sk3_esk1_0,X0))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_584]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_478,plain,
% 0.37/0.67 ( element(ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk2_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_347,c_285]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_479,plain,
% 0.37/0.67 ( element(ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk2_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_478]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_476,plain,
% 0.37/0.67 ( ~ in(sk3_esk1_0,ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk2_2(sk3_esk1_0,X0)))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_347,c_292]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_477,plain,
% 0.37/0.67 ( ~ in(sk3_esk1_0,ordered_pair(sk1_esk1_2(sk3_esk1_0,X0),sk1_esk2_2(sk3_esk1_0,X0)))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_476]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_464,plain,
% 0.37/0.67 ( element(ordered_pair(sk1_esk2_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_346,c_285]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_465,plain,
% 0.37/0.67 ( element(ordered_pair(sk1_esk2_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)),sk3_esk1_0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_464]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_462,plain,
% 0.37/0.67 ( ~ in(sk3_esk1_0,ordered_pair(sk1_esk2_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_346,c_292]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_463,plain,
% 0.37/0.67 ( ~ in(sk3_esk1_0,ordered_pair(sk1_esk2_2(sk3_esk1_0,X0),sk1_esk3_2(sk3_esk1_0,X0)))
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_462]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_56,plain,
% 0.37/0.67 ( in(sk1_esk1_2(X0,X1),X1) | is_transitive_in(X0,X1) | ~ relation(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_122_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_304,plain,
% 0.37/0.67 ( in(sk1_esk1_2(X0,X1),X1) | is_transitive_in(X0,X1) | ~ relation(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_56]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_305,plain,
% 0.37/0.67 ( in(sk1_esk1_2(X0,X1),X1) | ~ relation(X0) | is_transitive_in(X0,X1) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_304]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_334,plain,
% 0.37/0.67 ( in(sk1_esk1_2(sk3_esk1_0,X0),X0) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_326,c_305]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_345,plain,
% 0.37/0.67 ( in(sk1_esk1_2(sk3_esk1_0,X0),X0) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_334]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_418,plain,
% 0.37/0.67 ( element(sk1_esk1_2(sk3_esk1_0,X0),X0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_345,c_285]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_419,plain,
% 0.37/0.67 ( element(sk1_esk1_2(sk3_esk1_0,X0),X0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_418]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_416,plain,
% 0.37/0.67 ( ~ in(X0,sk1_esk1_2(sk3_esk1_0,X0)) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_345,c_292]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_417,plain,
% 0.37/0.67 ( ~ in(X0,sk1_esk1_2(sk3_esk1_0,X0)) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_416]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_55,plain,
% 0.37/0.67 ( in(sk1_esk2_2(X0,X1),X1) | is_transitive_in(X0,X1) | ~ relation(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_123_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_302,plain,
% 0.37/0.67 ( in(sk1_esk2_2(X0,X1),X1) | is_transitive_in(X0,X1) | ~ relation(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_55]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_303,plain,
% 0.37/0.67 ( in(sk1_esk2_2(X0,X1),X1) | ~ relation(X0) | is_transitive_in(X0,X1) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_302]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_335,plain,
% 0.37/0.67 ( in(sk1_esk2_2(sk3_esk1_0,X0),X0) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_326,c_303]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_344,plain,
% 0.37/0.67 ( in(sk1_esk2_2(sk3_esk1_0,X0),X0) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_335]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_410,plain,
% 0.37/0.67 ( element(sk1_esk2_2(sk3_esk1_0,X0),X0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_344,c_285]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_411,plain,
% 0.37/0.67 ( element(sk1_esk2_2(sk3_esk1_0,X0),X0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_410]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_408,plain,
% 0.37/0.67 ( ~ in(X0,sk1_esk2_2(sk3_esk1_0,X0)) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_344,c_292]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_409,plain,
% 0.37/0.67 ( ~ in(X0,sk1_esk2_2(sk3_esk1_0,X0)) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_408]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_54,plain,
% 0.37/0.67 ( in(sk1_esk3_2(X0,X1),X1) | is_transitive_in(X0,X1) | ~ relation(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_124_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_300,plain,
% 0.37/0.67 ( in(sk1_esk3_2(X0,X1),X1) | is_transitive_in(X0,X1) | ~ relation(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_54]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_301,plain,
% 0.37/0.67 ( in(sk1_esk3_2(X0,X1),X1) | ~ relation(X0) | is_transitive_in(X0,X1) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_300]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_336,plain,
% 0.37/0.67 ( in(sk1_esk3_2(sk3_esk1_0,X0),X0) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_326,c_301]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_343,plain,
% 0.37/0.67 ( in(sk1_esk3_2(sk3_esk1_0,X0),X0) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_336]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_402,plain,
% 0.37/0.67 ( element(sk1_esk3_2(sk3_esk1_0,X0),X0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_343,c_285]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_403,plain,
% 0.37/0.67 ( element(sk1_esk3_2(sk3_esk1_0,X0),X0)
% 0.37/0.67 | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_402]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_400,plain,
% 0.37/0.67 ( ~ in(X0,sk1_esk3_2(sk3_esk1_0,X0)) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_343,c_292]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_401,plain,
% 0.37/0.67 ( ~ in(X0,sk1_esk3_2(sk3_esk1_0,X0)) | is_transitive_in(sk3_esk1_0,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_400]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_49,plain,
% 0.37/0.67 ( set_union2(relation_dom(X0),relation_rng(X0)) = relation_field(X0)
% 0.37/0.67 | ~ relation(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_129_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_290,plain,
% 0.37/0.67 ( set_union2(relation_dom(X0),relation_rng(X0)) = relation_field(X0)
% 0.37/0.67 | ~ relation(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_49]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_291,plain,
% 0.37/0.67 ( ~ relation(X0)
% 0.37/0.67 | set_union2(relation_dom(X0),relation_rng(X0)) = relation_field(X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_290]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_338,plain,
% 0.37/0.67 ( set_union2(relation_dom(sk3_esk1_0),relation_rng(sk3_esk1_0)) = relation_field(sk3_esk1_0) ),
% 0.37/0.67 inference(resolution,[status(thm)],[c_326,c_291]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_341,plain,
% 0.37/0.67 ( set_union2(relation_dom(sk3_esk1_0),relation_rng(sk3_esk1_0)) = relation_field(sk3_esk1_0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_338]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_45,plain,
% 0.37/0.67 ( function(X0) | ~ empty(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_137_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_282,plain,
% 0.37/0.67 ( function(X0) | ~ empty(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_45]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_283,plain,
% 0.37/0.67 ( ~ empty(X0) | function(X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_282]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_44,plain,
% 0.37/0.67 ( X0 = empty_set | ~ empty(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_138_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_280,plain,
% 0.37/0.67 ( X0 = empty_set | ~ empty(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_44]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_281,plain,
% 0.37/0.67 ( ~ empty(X0) | X0 = empty_set ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_280]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_16,plain,
% 0.37/0.67 ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_48_2) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_227,plain,
% 0.37/0.67 ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_16]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_228,plain,
% 0.37/0.67 ( ~ empty(X0) | ~ empty(X1) | X1 = X0 ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_227]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_10,plain,
% 0.37/0.67 ( ~ relation(X0) | ~ empty(X0) | ~ function(X0) | one_to_one(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_46_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_215,plain,
% 0.37/0.67 ( ~ relation(X0) | ~ empty(X0) | ~ function(X0) | one_to_one(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_10]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_216,plain,
% 0.37/0.67 ( ~ empty(X0) | ~ relation(X0) | ~ function(X0) | one_to_one(X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_215]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_53,plain,
% 0.37/0.67 ( ~ empty(set_union2(X0,X1)) | empty(X1) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_125_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_298,plain,
% 0.37/0.67 ( ~ empty(set_union2(X0,X1)) | empty(X1) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_53]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_52,plain,
% 0.37/0.67 ( ~ empty(set_union2(X0,X1)) | empty(X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_126_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_296,plain,
% 0.37/0.67 ( ~ empty(set_union2(X0,X1)) | empty(X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_52]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_48,plain,
% 0.37/0.67 ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_130_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_288,plain,
% 0.37/0.67 ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_48]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_43,plain,
% 0.37/0.67 ( ~ empty(ordered_pair(X0,X1)) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_133_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_278,plain,
% 0.37/0.67 ( ~ empty(ordered_pair(X0,X1)) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_43]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_41,plain,
% 0.37/0.67 ( set_union2(X0,X1) = set_union2(X1,X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_135_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_275,plain,
% 0.37/0.67 ( set_union2(X0,X1) = set_union2(X1,X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_41]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_40,plain,
% 0.37/0.67 ( unordered_pair(X0,X1) = unordered_pair(X1,X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_136_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_273,plain,
% 0.37/0.67 ( unordered_pair(X0,X1) = unordered_pair(X1,X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_40]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_37,plain,
% 0.37/0.67 ( empty(empty_set) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_141_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_269,plain,( empty(empty_set) ),inference(copy,[status(esa)],[c_37]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_28,plain,
% 0.37/0.67 ( $true ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_150_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_251,plain,( $true ),inference(copy,[status(esa)],[c_28]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_27,plain,
% 0.37/0.67 ( one_to_one(sk2_esk1_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_58_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_249,plain,
% 0.37/0.67 ( one_to_one(sk2_esk1_0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_27]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_26,plain,
% 0.37/0.67 ( function(sk2_esk1_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_57_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_247,plain,
% 0.37/0.67 ( function(sk2_esk1_0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_26]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_25,plain,
% 0.37/0.67 ( relation(sk2_esk1_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_56_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_245,plain,
% 0.37/0.67 ( relation(sk2_esk1_0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_25]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_24,plain,
% 0.37/0.67 ( function(sk2_esk3_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_55_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_243,plain,
% 0.37/0.67 ( function(sk2_esk3_0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_24]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_23,plain,
% 0.37/0.67 ( empty(sk2_esk3_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_54_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_241,plain,( empty(sk2_esk3_0) ),inference(copy,[status(esa)],[c_23]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_22,plain,
% 0.37/0.67 ( relation(sk2_esk3_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_53_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_239,plain,
% 0.37/0.67 ( relation(sk2_esk3_0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_22]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_21,plain,
% 0.37/0.67 ( empty(sk2_esk4_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_52_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_237,plain,( empty(sk2_esk4_0) ),inference(copy,[status(esa)],[c_21]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_20,plain,
% 0.37/0.67 ( function(sk2_esk5_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_51_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_235,plain,
% 0.37/0.67 ( function(sk2_esk5_0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_20]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_19,plain,
% 0.37/0.67 ( relation(sk2_esk5_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_50_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_233,plain,
% 0.37/0.67 ( relation(sk2_esk5_0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_19]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_18,plain,
% 0.37/0.67 ( element(sk2_esk6_1(X0),X0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_47_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_231,plain,
% 0.37/0.67 ( element(sk2_esk6_1(X0),X0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_18]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_17,plain,
% 0.37/0.67 ( ~ empty(sk2_esk2_0) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_49_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_229,plain,
% 0.37/0.67 ( ~ empty(sk2_esk2_0) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_17]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_14,plain,
% 0.37/0.67 ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_48_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_223,plain,
% 0.37/0.67 ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.37/0.67 inference(copy,[status(esa)],[c_14]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_0,plain,
% 0.37/0.67 ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.37/0.67 file('/export/starexec/sandbox/tmp/iprover_modulo_52f610.p', c_0_43_0) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_195,plain,
% 0.37/0.67 ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.37/0.67 inference(copy,[status(esa)],[c_0]) ).
% 0.37/0.67
% 0.37/0.67 cnf(c_196,plain,
% 0.37/0.67 ( ~ empty(X0) | ~ in(X1,X0) ),
% 0.37/0.67 inference(rewriting,[status(thm)],[c_195]) ).
% 0.37/0.67
% 0.37/0.67
% 0.37/0.67
% 0.37/0.67 % ------ Statistics
% 0.37/0.67
% 0.37/0.67 % ------ General
% 0.37/0.67
% 0.37/0.67 % num_of_input_clauses: 68
% 0.37/0.67 % num_of_input_neg_conjectures: 5
% 0.37/0.67 % num_of_splits: 0
% 0.37/0.67 % num_of_split_atoms: 0
% 0.37/0.67 % num_of_sem_filtered_clauses: 0
% 0.37/0.67 % num_of_subtypes: 0
% 0.37/0.67 % monotx_restored_types: 0
% 0.37/0.67 % sat_num_of_epr_types: 0
% 0.37/0.67 % sat_num_of_non_cyclic_types: 0
% 0.37/0.67 % sat_guarded_non_collapsed_types: 0
% 0.37/0.67 % is_epr: 0
% 0.37/0.67 % is_horn: 0
% 0.37/0.67 % has_eq: 1
% 0.37/0.67 % num_pure_diseq_elim: 0
% 0.37/0.67 % simp_replaced_by: 0
% 0.37/0.67 % res_preprocessed: 10
% 0.37/0.67 % prep_upred: 0
% 0.37/0.67 % prep_unflattend: 0
% 0.37/0.67 % pred_elim_cands: 0
% 0.37/0.67 % pred_elim: 0
% 0.37/0.67 % pred_elim_cl: 0
% 0.37/0.67 % pred_elim_cycles: 0
% 0.37/0.67 % forced_gc_time: 0
% 0.37/0.67 % gc_basic_clause_elim: 0
% 0.37/0.67 % parsing_time: 0.002
% 0.37/0.67 % sem_filter_time: 0.
% 0.37/0.67 % pred_elim_time: 0.
% 0.37/0.67 % out_proof_time: 0.
% 0.37/0.67 % monotx_time: 0.
% 0.37/0.67 % subtype_inf_time: 0.
% 0.37/0.67 % unif_index_cands_time: 0.
% 0.37/0.67 % unif_index_add_time: 0.
% 0.37/0.67 % total_time: 0.248
% 0.37/0.67 % num_of_symbols: 54
% 0.37/0.67 % num_of_terms: 398
% 0.37/0.67
% 0.37/0.67 % ------ Propositional Solver
% 0.37/0.67
% 0.37/0.67 % prop_solver_calls: 1
% 0.37/0.67 % prop_fast_solver_calls: 33
% 0.37/0.67 % prop_num_of_clauses: 71
% 0.37/0.67 % prop_preprocess_simplified: 201
% 0.37/0.67 % prop_fo_subsumed: 0
% 0.37/0.67 % prop_solver_time: 0.
% 0.37/0.67 % prop_fast_solver_time: 0.
% 0.37/0.67 % prop_unsat_core_time: 0.
% 0.37/0.67
% 0.37/0.67 % ------ QBF
% 0.37/0.67
% 0.37/0.67 % qbf_q_res: 0
% 0.37/0.67 % qbf_num_tautologies: 0
% 0.37/0.67 % qbf_prep_cycles: 0
% 0.37/0.67
% 0.37/0.67 % ------ BMC1
% 0.37/0.67
% 0.37/0.67 % bmc1_current_bound: -1
% 0.37/0.67 % bmc1_last_solved_bound: -1
% 0.37/0.67 % bmc1_unsat_core_size: -1
% 0.37/0.67 % bmc1_unsat_core_parents_size: -1
% 0.37/0.67 % bmc1_merge_next_fun: 0
% 0.37/0.67 % bmc1_unsat_core_clauses_time: 0.
% 0.37/0.67
% 0.37/0.67 % ------ Instantiation
% 0.37/0.67
% 0.37/0.67 % inst_num_of_clauses: 60
% 0.37/0.67 % inst_num_in_passive: 0
% 0.37/0.67 % inst_num_in_active: 0
% 0.37/0.67 % inst_num_in_unprocessed: 68
% 0.37/0.67 % inst_num_of_loops: 0
% 0.37/0.67 % inst_num_of_learning_restarts: 0
% 0.37/0.67 % inst_num_moves_active_passive: 0
% 0.37/0.67 % inst_lit_activity: 0
% 0.37/0.67 % inst_lit_activity_moves: 0
% 0.37/0.67 % inst_num_tautologies: 0
% 0.37/0.67 % inst_num_prop_implied: 0
% 0.37/0.67 % inst_num_existing_simplified: 0
% 0.37/0.67 % inst_num_eq_res_simplified: 0
% 0.37/0.67 % inst_num_child_elim: 0
% 0.37/0.67 % inst_num_of_dismatching_blockings: 0
% 0.37/0.67 % inst_num_of_non_proper_insts: 0
% 0.37/0.67 % inst_num_of_duplicates: 0
% 0.37/0.67 % inst_inst_num_from_inst_to_res: 0
% 0.37/0.67 % inst_dismatching_checking_time: 0.
% 0.37/0.67
% 0.37/0.67 % ------ Resolution
% 0.37/0.67
% 0.37/0.67 % res_num_of_clauses: 128
% 0.37/0.67 % res_num_in_passive: 0
% 0.37/0.67 % res_num_in_active: 97
% 0.37/0.67 % res_num_of_loops: 77
% 0.37/0.67 % res_forward_subset_subsumed: 46
% 0.37/0.67 % res_backward_subset_subsumed: 8
% 0.37/0.67 % res_forward_subsumed: 2
% 0.37/0.67 % res_backward_subsumed: 4
% 0.37/0.67 % res_forward_subsumption_resolution: 6
% 0.37/0.67 % res_backward_subsumption_resolution: 12
% 0.37/0.67 % res_clause_to_clause_subsumption: 135
% 0.37/0.67 % res_orphan_elimination: 0
% 0.37/0.67 % res_tautology_del: 11
% 0.37/0.67 % res_num_eq_res_simplified: 0
% 0.37/0.67 % res_num_sel_changes: 0
% 0.37/0.67 % res_moves_from_active_to_pass: 0
% 0.37/0.67
% 0.37/0.67 % Status Unknown
% 0.52/0.72 % Orienting using strategy ClausalAll
% 0.52/0.72 % FOF problem with conjecture
% 0.52/0.72 % 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_a7ad41.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_52f610.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_9f289b | grep -v "SZS"
% 0.52/0.75
% 0.52/0.75 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.52/0.75
% 0.52/0.75 %
% 0.52/0.75 % ------ iProver source info
% 0.52/0.75
% 0.52/0.75 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.52/0.75 % git: non_committed_changes: true
% 0.52/0.75 % git: last_make_outside_of_git: true
% 0.52/0.75
% 0.52/0.75 %
% 0.52/0.75 % ------ Input Options
% 0.52/0.75
% 0.52/0.75 % --out_options all
% 0.52/0.75 % --tptp_safe_out true
% 0.52/0.75 % --problem_path ""
% 0.52/0.75 % --include_path ""
% 0.52/0.75 % --clausifier .//eprover
% 0.52/0.75 % --clausifier_options --tstp-format
% 0.52/0.75 % --stdin false
% 0.52/0.75 % --dbg_backtrace false
% 0.52/0.75 % --dbg_dump_prop_clauses false
% 0.52/0.75 % --dbg_dump_prop_clauses_file -
% 0.52/0.75 % --dbg_out_stat false
% 0.52/0.75
% 0.52/0.75 % ------ General Options
% 0.52/0.75
% 0.52/0.75 % --fof false
% 0.52/0.75 % --time_out_real 150.
% 0.52/0.75 % --time_out_prep_mult 0.2
% 0.52/0.75 % --time_out_virtual -1.
% 0.52/0.75 % --schedule none
% 0.52/0.75 % --ground_splitting input
% 0.52/0.75 % --splitting_nvd 16
% 0.52/0.75 % --non_eq_to_eq false
% 0.52/0.75 % --prep_gs_sim true
% 0.52/0.75 % --prep_unflatten false
% 0.52/0.75 % --prep_res_sim true
% 0.52/0.75 % --prep_upred true
% 0.52/0.75 % --res_sim_input true
% 0.52/0.75 % --clause_weak_htbl true
% 0.52/0.75 % --gc_record_bc_elim false
% 0.52/0.75 % --symbol_type_check false
% 0.52/0.75 % --clausify_out false
% 0.52/0.75 % --large_theory_mode false
% 0.52/0.75 % --prep_sem_filter none
% 0.52/0.75 % --prep_sem_filter_out false
% 0.52/0.75 % --preprocessed_out false
% 0.52/0.75 % --sub_typing false
% 0.52/0.75 % --brand_transform false
% 0.52/0.75 % --pure_diseq_elim true
% 0.52/0.75 % --min_unsat_core false
% 0.52/0.75 % --pred_elim true
% 0.52/0.75 % --add_important_lit false
% 0.52/0.75 % --soft_assumptions false
% 0.52/0.75 % --reset_solvers false
% 0.52/0.75 % --bc_imp_inh []
% 0.52/0.75 % --conj_cone_tolerance 1.5
% 0.52/0.75 % --prolific_symb_bound 500
% 0.52/0.75 % --lt_threshold 2000
% 0.52/0.75
% 0.52/0.75 % ------ SAT Options
% 0.52/0.75
% 0.52/0.75 % --sat_mode false
% 0.52/0.75 % --sat_fm_restart_options ""
% 0.52/0.75 % --sat_gr_def false
% 0.52/0.75 % --sat_epr_types true
% 0.52/0.75 % --sat_non_cyclic_types false
% 0.52/0.75 % --sat_finite_models false
% 0.52/0.75 % --sat_fm_lemmas false
% 0.52/0.75 % --sat_fm_prep false
% 0.52/0.75 % --sat_fm_uc_incr true
% 0.52/0.75 % --sat_out_model small
% 0.52/0.75 % --sat_out_clauses false
% 0.52/0.75
% 0.52/0.75 % ------ QBF Options
% 0.52/0.75
% 0.52/0.75 % --qbf_mode false
% 0.52/0.75 % --qbf_elim_univ true
% 0.52/0.75 % --qbf_sk_in true
% 0.52/0.75 % --qbf_pred_elim true
% 0.52/0.75 % --qbf_split 32
% 0.52/0.75
% 0.52/0.75 % ------ BMC1 Options
% 0.52/0.75
% 0.52/0.75 % --bmc1_incremental false
% 0.52/0.75 % --bmc1_axioms reachable_all
% 0.52/0.75 % --bmc1_min_bound 0
% 0.52/0.75 % --bmc1_max_bound -1
% 0.52/0.75 % --bmc1_max_bound_default -1
% 0.52/0.75 % --bmc1_symbol_reachability true
% 0.52/0.75 % --bmc1_property_lemmas false
% 0.52/0.75 % --bmc1_k_induction false
% 0.52/0.75 % --bmc1_non_equiv_states false
% 0.52/0.75 % --bmc1_deadlock false
% 0.52/0.75 % --bmc1_ucm false
% 0.52/0.75 % --bmc1_add_unsat_core none
% 0.52/0.75 % --bmc1_unsat_core_children false
% 0.52/0.75 % --bmc1_unsat_core_extrapolate_axioms false
% 0.52/0.75 % --bmc1_out_stat full
% 0.52/0.75 % --bmc1_ground_init false
% 0.52/0.75 % --bmc1_pre_inst_next_state false
% 0.52/0.75 % --bmc1_pre_inst_state false
% 0.52/0.75 % --bmc1_pre_inst_reach_state false
% 0.52/0.75 % --bmc1_out_unsat_core false
% 0.52/0.75 % --bmc1_aig_witness_out false
% 0.52/0.75 % --bmc1_verbose false
% 0.52/0.75 % --bmc1_dump_clauses_tptp false
% 0.57/0.96 % --bmc1_dump_unsat_core_tptp false
% 0.57/0.96 % --bmc1_dump_file -
% 0.57/0.96 % --bmc1_ucm_expand_uc_limit 128
% 0.57/0.96 % --bmc1_ucm_n_expand_iterations 6
% 0.57/0.96 % --bmc1_ucm_extend_mode 1
% 0.57/0.96 % --bmc1_ucm_init_mode 2
% 0.57/0.96 % --bmc1_ucm_cone_mode none
% 0.57/0.96 % --bmc1_ucm_reduced_relation_type 0
% 0.57/0.96 % --bmc1_ucm_relax_model 4
% 0.57/0.96 % --bmc1_ucm_full_tr_after_sat true
% 0.57/0.96 % --bmc1_ucm_expand_neg_assumptions false
% 0.57/0.96 % --bmc1_ucm_layered_model none
% 0.57/0.96 % --bmc1_ucm_max_lemma_size 10
% 0.57/0.96
% 0.57/0.96 % ------ AIG Options
% 0.57/0.96
% 0.57/0.96 % --aig_mode false
% 0.57/0.96
% 0.57/0.96 % ------ Instantiation Options
% 0.57/0.96
% 0.57/0.96 % --instantiation_flag true
% 0.57/0.96 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.57/0.96 % --inst_solver_per_active 750
% 0.57/0.96 % --inst_solver_calls_frac 0.5
% 0.57/0.96 % --inst_passive_queue_type priority_queues
% 0.57/0.96 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.57/0.96 % --inst_passive_queues_freq [25;2]
% 0.57/0.96 % --inst_dismatching true
% 0.57/0.96 % --inst_eager_unprocessed_to_passive true
% 0.57/0.96 % --inst_prop_sim_given true
% 0.57/0.96 % --inst_prop_sim_new false
% 0.57/0.96 % --inst_orphan_elimination true
% 0.57/0.96 % --inst_learning_loop_flag true
% 0.57/0.96 % --inst_learning_start 3000
% 0.57/0.96 % --inst_learning_factor 2
% 0.57/0.96 % --inst_start_prop_sim_after_learn 3
% 0.57/0.96 % --inst_sel_renew solver
% 0.57/0.96 % --inst_lit_activity_flag true
% 0.57/0.96 % --inst_out_proof true
% 0.57/0.96
% 0.57/0.96 % ------ Resolution Options
% 0.57/0.96
% 0.57/0.96 % --resolution_flag true
% 0.57/0.96 % --res_lit_sel kbo_max
% 0.57/0.96 % --res_to_prop_solver none
% 0.57/0.96 % --res_prop_simpl_new false
% 0.57/0.96 % --res_prop_simpl_given false
% 0.57/0.96 % --res_passive_queue_type priority_queues
% 0.57/0.96 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.57/0.96 % --res_passive_queues_freq [15;5]
% 0.57/0.96 % --res_forward_subs full
% 0.57/0.96 % --res_backward_subs full
% 0.57/0.96 % --res_forward_subs_resolution true
% 0.57/0.96 % --res_backward_subs_resolution true
% 0.57/0.96 % --res_orphan_elimination false
% 0.57/0.96 % --res_time_limit 1000.
% 0.57/0.96 % --res_out_proof true
% 0.57/0.96 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a7ad41.s
% 0.57/0.96 % --modulo true
% 0.57/0.96
% 0.57/0.96 % ------ Combination Options
% 0.57/0.96
% 0.57/0.96 % --comb_res_mult 1000
% 0.57/0.96 % --comb_inst_mult 300
% 0.57/0.96 % ------
% 0.57/0.96
% 0.57/0.96 % ------ Parsing...% successful
% 0.57/0.96
% 0.57/0.96 % ------ 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 %
% 0.57/0.96
% 0.57/0.96 % ------ Proving...
% 0.57/0.96 % ------ Problem Properties
% 0.57/0.96
% 0.57/0.96 %
% 0.57/0.96 % EPR false
% 0.57/0.96 % Horn false
% 0.57/0.96 % Has equality true
% 0.57/0.96
% 0.57/0.96 % % ------ Input Options Time Limit: Unbounded
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Compiling...
% 0.57/0.96 Loading plugin: done.
% 0.57/0.96 Compiling...
% 0.57/0.96 Loading plugin: done.
% 0.57/0.96 % % ------ Current options:
% 0.57/0.96
% 0.57/0.96 % ------ Input Options
% 0.57/0.96
% 0.57/0.96 % --out_options all
% 0.57/0.96 % --tptp_safe_out true
% 0.57/0.96 % --problem_path ""
% 0.57/0.96 % --include_path ""
% 0.57/0.96 % --clausifier .//eprover
% 0.57/0.96 % --clausifier_options --tstp-format
% 0.57/0.96 % --stdin false
% 0.57/0.96 % --dbg_backtrace false
% 0.57/0.96 % --dbg_dump_prop_clauses false
% 0.57/0.96 % --dbg_dump_prop_clauses_file -
% 0.57/0.96 % --dbg_out_stat false
% 0.57/0.96
% 0.57/0.96 % ------ General Options
% 0.57/0.96
% 0.57/0.96 % --fof false
% 0.57/0.96 % --time_out_real 150.
% 0.57/0.96 % --time_out_prep_mult 0.2
% 0.57/0.96 % --time_out_virtual -1.
% 0.57/0.96 % --schedule none
% 0.57/0.96 % --ground_splitting input
% 0.57/0.96 % --splitting_nvd 16
% 0.57/0.96 % --non_eq_to_eq false
% 0.57/0.96 % --prep_gs_sim true
% 0.57/0.96 % --prep_unflatten false
% 0.57/0.96 % --prep_res_sim true
% 0.57/0.96 % --prep_upred true
% 0.57/0.96 % --res_sim_input true
% 0.57/0.96 % --clause_weak_htbl true
% 0.57/0.96 % --gc_record_bc_elim false
% 0.57/0.96 % --symbol_type_check false
% 0.57/0.96 % --clausify_out false
% 0.57/0.96 % --large_theory_mode false
% 0.57/0.96 % --prep_sem_filter none
% 0.57/0.96 % --prep_sem_filter_out false
% 0.57/0.96 % --preprocessed_out false
% 0.57/0.96 % --sub_typing false
% 0.57/0.96 % --brand_transform false
% 0.57/0.96 % --pure_diseq_elim true
% 0.57/0.96 % --min_unsat_core false
% 0.57/0.96 % --pred_elim true
% 0.57/0.96 % --add_important_lit false
% 0.57/0.96 % --soft_assumptions false
% 0.57/0.96 % --reset_solvers false
% 0.57/0.96 % --bc_imp_inh []
% 0.57/0.96 % --conj_cone_tolerance 1.5
% 0.57/0.96 % --prolific_symb_bound 500
% 0.57/0.96 % --lt_threshold 2000
% 0.57/0.96
% 0.57/0.96 % ------ SAT Options
% 0.57/0.96
% 0.57/0.96 % --sat_mode false
% 0.57/0.96 % --sat_fm_restart_options ""
% 0.57/0.96 % --sat_gr_def false
% 0.57/0.96 % --sat_epr_types true
% 0.57/0.96 % --sat_non_cyclic_types false
% 0.57/0.96 % --sat_finite_models false
% 0.57/0.96 % --sat_fm_lemmas false
% 0.57/0.96 % --sat_fm_prep false
% 0.57/0.96 % --sat_fm_uc_incr true
% 0.57/0.96 % --sat_out_model small
% 0.57/0.96 % --sat_out_clauses false
% 0.57/0.96
% 0.57/0.96 % ------ QBF Options
% 0.57/0.96
% 0.57/0.96 % --qbf_mode false
% 0.57/0.96 % --qbf_elim_univ true
% 0.57/0.96 % --qbf_sk_in true
% 0.57/0.96 % --qbf_pred_elim true
% 0.57/0.96 % --qbf_split 32
% 0.57/0.96
% 0.57/0.96 % ------ BMC1 Options
% 0.57/0.96
% 0.57/0.96 % --bmc1_incremental false
% 0.57/0.96 % --bmc1_axioms reachable_all
% 0.57/0.96 % --bmc1_min_bound 0
% 0.57/0.96 % --bmc1_max_bound -1
% 0.57/0.96 % --bmc1_max_bound_default -1
% 0.57/0.96 % --bmc1_symbol_reachability true
% 0.57/0.96 % --bmc1_property_lemmas false
% 0.57/0.96 % --bmc1_k_induction false
% 0.57/0.96 % --bmc1_non_equiv_states false
% 0.57/0.96 % --bmc1_deadlock false
% 0.57/0.96 % --bmc1_ucm false
% 0.57/0.96 % --bmc1_add_unsat_core none
% 0.57/0.96 % --bmc1_unsat_core_children false
% 0.57/0.96 % --bmc1_unsat_core_extrapolate_axioms false
% 0.57/0.96 % --bmc1_out_stat full
% 0.57/0.96 % --bmc1_ground_init false
% 0.57/0.96 % --bmc1_pre_inst_next_state false
% 0.57/0.96 % --bmc1_pre_inst_state false
% 0.57/0.96 % --bmc1_pre_inst_reach_state false
% 0.57/0.96 % --bmc1_out_unsat_core false
% 0.57/0.96 % --bmc1_aig_witness_out false
% 0.57/0.96 % --bmc1_verbose false
% 0.57/0.96 % --bmc1_dump_clauses_tptp false
% 0.57/0.96 % --bmc1_dump_unsat_core_tptp false
% 0.57/0.96 % --bmc1_dump_file -
% 0.57/0.96 % --bmc1_ucm_expand_uc_limit 128
% 0.57/0.96 % --bmc1_ucm_n_expand_iterations 6
% 0.57/0.96 % --bmc1_ucm_extend_mode 1
% 0.57/0.96 % --bmc1_ucm_init_mode 2
% 0.57/0.96 % --bmc1_ucm_cone_mode none
% 0.57/0.96 % --bmc1_ucm_reduced_relation_type 0
% 0.57/0.96 % --bmc1_ucm_relax_model 4
% 0.57/0.96 % --bmc1_ucm_full_tr_after_sat true
% 0.57/0.96 % --bmc1_ucm_expand_neg_assumptions false
% 0.57/0.96 % --bmc1_ucm_layered_model none
% 0.57/0.96 % --bmc1_ucm_max_lemma_size 10
% 0.57/0.96
% 0.57/0.96 % ------ AIG Options
% 0.57/0.96
% 0.57/0.96 % --aig_mode false
% 0.57/0.96
% 0.57/0.96 % ------ Instantiation Options
% 0.57/0.96
% 0.57/0.96 % --instantiation_flag true
% 0.57/0.96 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.57/0.96 % --inst_solver_per_active 750
% 0.57/0.96 % --inst_solver_calls_frac 0.5
% 0.57/0.96 % --inst_passive_queue_type priority_queues
% 0.57/0.96 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.57/0.96 % --inst_passive_queues_freq [25;2]
% 0.57/0.96 % --inst_dismatching true
% 34.25/34.47 % --inst_eager_unprocessed_to_passive true
% 34.25/34.47 % --inst_prop_sim_given true
% 34.25/34.47 % --inst_prop_sim_new false
% 34.25/34.47 % --inst_orphan_elimination true
% 34.25/34.47 % --inst_learning_loop_flag true
% 34.25/34.47 % --inst_learning_start 3000
% 34.25/34.47 % --inst_learning_factor 2
% 34.25/34.47 % --inst_start_prop_sim_after_learn 3
% 34.25/34.47 % --inst_sel_renew solver
% 34.25/34.47 % --inst_lit_activity_flag true
% 34.25/34.47 % --inst_out_proof true
% 34.25/34.47
% 34.25/34.47 % ------ Resolution Options
% 34.25/34.47
% 34.25/34.47 % --resolution_flag true
% 34.25/34.47 % --res_lit_sel kbo_max
% 34.25/34.47 % --res_to_prop_solver none
% 34.25/34.47 % --res_prop_simpl_new false
% 34.25/34.47 % --res_prop_simpl_given false
% 34.25/34.47 % --res_passive_queue_type priority_queues
% 34.25/34.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 34.25/34.47 % --res_passive_queues_freq [15;5]
% 34.25/34.47 % --res_forward_subs full
% 34.25/34.47 % --res_backward_subs full
% 34.25/34.47 % --res_forward_subs_resolution true
% 34.25/34.47 % --res_backward_subs_resolution true
% 34.25/34.47 % --res_orphan_elimination false
% 34.25/34.47 % --res_time_limit 1000.
% 34.25/34.47 % --res_out_proof true
% 34.25/34.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a7ad41.s
% 34.25/34.47 % --modulo true
% 34.25/34.47
% 34.25/34.47 % ------ Combination Options
% 34.25/34.47
% 34.25/34.47 % --comb_res_mult 1000
% 34.25/34.47 % --comb_inst_mult 300
% 34.25/34.47 % ------
% 34.25/34.47
% 34.25/34.47
% 34.25/34.47
% 34.25/34.47 % ------ Proving...
% 34.25/34.47 %
% 34.25/34.47
% 34.25/34.47
% 34.25/34.47 % ------ Statistics
% 34.25/34.47
% 34.25/34.47 % ------ General
% 34.25/34.47
% 34.25/34.47 % num_of_input_clauses: 104
% 34.25/34.47 % num_of_input_neg_conjectures: 5
% 34.25/34.47 % num_of_splits: 0
% 34.25/34.47 % num_of_split_atoms: 0
% 34.25/34.47 % num_of_sem_filtered_clauses: 0
% 34.25/34.47 % num_of_subtypes: 0
% 34.25/34.47 % monotx_restored_types: 0
% 34.25/34.47 % sat_num_of_epr_types: 0
% 34.25/34.47 % sat_num_of_non_cyclic_types: 0
% 34.25/34.47 % sat_guarded_non_collapsed_types: 0
% 34.25/34.47 % is_epr: 0
% 34.25/34.47 % is_horn: 0
% 34.25/34.47 % has_eq: 1
% 34.25/34.47 % num_pure_diseq_elim: 0
% 34.25/34.47 % simp_replaced_by: 0
% 34.25/34.47 % res_preprocessed: 10
% 34.25/34.47 % prep_upred: 0
% 34.25/34.47 % prep_unflattend: 0
% 34.25/34.47 % pred_elim_cands: 0
% 34.25/34.47 % pred_elim: 0
% 34.25/34.47 % pred_elim_cl: 0
% 34.25/34.47 % pred_elim_cycles: 0
% 34.25/34.47 % forced_gc_time: 0
% 34.25/34.47 % gc_basic_clause_elim: 0
% 34.25/34.47 % parsing_time: 0.004
% 34.25/34.47 % sem_filter_time: 0.
% 34.25/34.47 % pred_elim_time: 0.
% 34.25/34.47 % out_proof_time: 0.001
% 34.25/34.47 % monotx_time: 0.
% 34.25/34.47 % subtype_inf_time: 0.
% 34.25/34.47 % unif_index_cands_time: 0.009
% 34.25/34.47 % unif_index_add_time: 0.007
% 34.25/34.47 % total_time: 33.741
% 34.25/34.47 % num_of_symbols: 54
% 34.25/34.47 % num_of_terms: 5585
% 34.25/34.47
% 34.25/34.47 % ------ Propositional Solver
% 34.25/34.47
% 34.25/34.47 % prop_solver_calls: 10
% 34.25/34.47 % prop_fast_solver_calls: 33
% 34.25/34.47 % prop_num_of_clauses: 2732
% 34.25/34.47 % prop_preprocess_simplified: 4595
% 34.25/34.47 % prop_fo_subsumed: 0
% 34.25/34.47 % prop_solver_time: 0.
% 34.25/34.47 % prop_fast_solver_time: 0.
% 34.25/34.47 % prop_unsat_core_time: 0.
% 34.25/34.47
% 34.25/34.47 % ------ QBF
% 34.25/34.47
% 34.25/34.47 % qbf_q_res: 0
% 34.25/34.47 % qbf_num_tautologies: 0
% 34.25/34.47 % qbf_prep_cycles: 0
% 34.25/34.47
% 34.25/34.47 % ------ BMC1
% 34.25/34.47
% 34.25/34.47 % bmc1_current_bound: -1
% 34.25/34.47 % bmc1_last_solved_bound: -1
% 34.25/34.47 % bmc1_unsat_core_size: -1
% 34.25/34.47 % bmc1_unsat_core_parents_size: -1
% 34.25/34.47 % bmc1_merge_next_fun: 0
% 34.25/34.47 % bmc1_unsat_core_clauses_time: 0.
% 34.25/34.47
% 34.25/34.47 % ------ Instantiation
% 34.25/34.47
% 34.25/34.47 % inst_num_of_clauses: 2014
% 34.25/34.47 % inst_num_in_passive: 709
% 34.25/34.47 % inst_num_in_active: 880
% 34.25/34.47 % inst_num_in_unprocessed: 283
% 34.25/34.47 % inst_num_of_loops: 1109
% 34.25/34.47 % inst_num_of_learning_restarts: 0
% 34.25/34.47 % inst_num_moves_active_passive: 86
% 34.25/34.47 % inst_lit_activity: 392
% 34.25/34.47 % inst_lit_activity_moves: 0
% 34.25/34.47 % inst_num_tautologies: 140
% 34.25/34.47 % inst_num_prop_implied: 0
% 34.25/34.47 % inst_num_existing_simplified: 0
% 34.25/34.47 % inst_num_eq_res_simplified: 0
% 34.25/34.47 % inst_num_child_elim: 0
% 34.25/34.47 % inst_num_of_dismatching_blockings: 729
% 34.25/34.47 % inst_num_of_non_proper_insts: 2506
% 34.25/34.47 % inst_num_of_duplicates: 2009
% 34.25/34.47 % inst_inst_num_from_inst_to_res: 0
% 34.25/34.47 % inst_dismatching_checking_time: 0.003
% 34.25/34.47
% 34.25/34.47 % ------ Resolution
% 34.25/34.47
% 34.25/34.47 % res_num_of_clauses: 114563
% 34.25/34.47 % res_num_in_passive: 111861
% 34.25/34.47 % res_num_in_active: 2642
% 34.25/34.47 % res_num_of_loops: 4000
% 34.25/34.47 % res_forward_subset_subsumed: 6845
% 34.25/34.47 % res_backward_subset_subsumed: 14
% 34.25/34.47 % res_forward_subsumed: 1321
% 34.25/34.47 % res_backward_subsumed: 49
% 34.25/34.47 % res_forward_subsumption_resolution: 572
% 34.25/34.47 % res_backward_subsumption_resolution: 17
% 34.25/34.47 % res_clause_to_clause_subsumption: 973972
% 34.25/34.47 % res_orphan_elimination: 0
% 34.25/34.47 % res_tautology_del: 457
% 34.25/34.47 % res_num_eq_res_simplified: 0
% 34.25/34.47 % res_num_sel_changes: 0
% 34.25/34.47 % res_moves_from_active_to_pass: 0
% 34.25/34.47
% 34.25/34.47 % Status Unsatisfiable
% 34.25/34.47 % SZS status Theorem
% 34.25/34.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------