TSTP Solution File: SEU206+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU206+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n016.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 10:25:58 EDT 2022
% Result : Theorem 214.29s 214.48s
% Output : CNFRefutation 214.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 57
% Syntax : Number of formulae : 466 ( 155 unt; 0 def)
% Number of atoms : 1173 ( 184 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 1303 ( 596 ~; 597 |; 58 &)
% ( 18 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 44 ( 44 usr; 11 con; 0-4 aty)
% Number of variables : 805 ( 68 sgn 189 !; 20 ?)
% 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,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(X5,X2) ) ) ) ),
file('<stdin>',d13_relat_1) ).
fof(c_0_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('<stdin>',d5_relat_1) ).
fof(c_0_2,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('<stdin>',d4_relat_1) ).
fof(c_0_3,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('<stdin>',d3_tarski) ).
fof(c_0_4,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('<stdin>',t4_subset) ).
fof(c_0_5,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_6,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('<stdin>',d5_tarski) ).
fof(c_0_7,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_image(X2,X1),relation_rng(X2)) ),
file('<stdin>',t144_relat_1) ).
fof(c_0_8,axiom,
! [X1,X2] : ~ empty(unordered_pair(X1,X2)),
file('<stdin>',fc3_subset_1) ).
fof(c_0_9,axiom,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
file('<stdin>',fc1_zfmisc_1) ).
fof(c_0_10,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('<stdin>',d10_xboole_0) ).
fof(c_0_11,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('<stdin>',t3_subset) ).
fof(c_0_12,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('<stdin>',antisymmetry_r2_hidden) ).
fof(c_0_13,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('<stdin>',t2_subset) ).
fof(c_0_14,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('<stdin>',t1_subset) ).
fof(c_0_15,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('<stdin>',rc1_subset_1) ).
fof(c_0_16,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_17,axiom,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_rng(X1)) ),
file('<stdin>',fc6_relat_1) ).
fof(c_0_18,axiom,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
file('<stdin>',fc5_relat_1) ).
fof(c_0_19,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('<stdin>',commutativity_k2_tarski) ).
fof(c_0_20,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_21,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_22,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_rng(X1))
& relation(relation_rng(X1)) ) ),
file('<stdin>',fc8_relat_1) ).
fof(c_0_23,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_dom(X1))
& relation(relation_dom(X1)) ) ),
file('<stdin>',fc7_relat_1) ).
fof(c_0_24,axiom,
! [X1] : ~ empty(singleton(X1)),
file('<stdin>',fc2_subset_1) ).
fof(c_0_25,axiom,
! [X1] : ~ empty(powerset(X1)),
file('<stdin>',fc1_subset_1) ).
fof(c_0_26,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_27,axiom,
! [X1,X2] : subset(X1,X1),
file('<stdin>',reflexivity_r1_tarski) ).
fof(c_0_28,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('<stdin>',cc1_relat_1) ).
fof(c_0_29,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('<stdin>',t6_boole) ).
fof(c_0_30,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_31,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('<stdin>',rc2_relat_1) ).
fof(c_0_32,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_33,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('<stdin>',rc1_relat_1) ).
fof(c_0_34,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('<stdin>',fc4_relat_1) ).
fof(c_0_35,axiom,
empty(empty_set),
file('<stdin>',fc1_xboole_0) ).
fof(c_0_36,axiom,
$true,
file('<stdin>',dt_m1_subset_1) ).
fof(c_0_37,axiom,
$true,
file('<stdin>',dt_k9_relat_1) ).
fof(c_0_38,axiom,
$true,
file('<stdin>',dt_k4_tarski) ).
fof(c_0_39,axiom,
$true,
file('<stdin>',dt_k2_tarski) ).
fof(c_0_40,axiom,
$true,
file('<stdin>',dt_k2_relat_1) ).
fof(c_0_41,axiom,
$true,
file('<stdin>',dt_k1_zfmisc_1) ).
fof(c_0_42,axiom,
$true,
file('<stdin>',dt_k1_xboole_0) ).
fof(c_0_43,axiom,
$true,
file('<stdin>',dt_k1_tarski) ).
fof(c_0_44,axiom,
$true,
file('<stdin>',dt_k1_relat_1) ).
fof(c_0_45,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(X5,X2) ) ) ) ),
c_0_0 ).
fof(c_0_46,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
c_0_1 ).
fof(c_0_47,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
c_0_2 ).
fof(c_0_48,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
c_0_3 ).
fof(c_0_49,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
c_0_4 ).
fof(c_0_50,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
c_0_5 ).
fof(c_0_51,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
c_0_6 ).
fof(c_0_52,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_image(X2,X1),relation_rng(X2)) ),
c_0_7 ).
fof(c_0_53,plain,
! [X1,X2] : ~ empty(unordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_54,plain,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_55,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
c_0_10 ).
fof(c_0_56,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
c_0_11 ).
fof(c_0_57,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_58,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
c_0_13 ).
fof(c_0_59,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
c_0_14 ).
fof(c_0_60,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_61,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_16 ).
fof(c_0_62,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_rng(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_63,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_64,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
c_0_19 ).
fof(c_0_65,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
c_0_20 ).
fof(c_0_66,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_21 ).
fof(c_0_67,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_rng(X1))
& relation(relation_rng(X1)) ) ),
c_0_22 ).
fof(c_0_68,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_dom(X1))
& relation(relation_dom(X1)) ) ),
c_0_23 ).
fof(c_0_69,plain,
! [X1] : ~ empty(singleton(X1)),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_70,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_71,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_26 ).
fof(c_0_72,axiom,
! [X1,X2] : subset(X1,X1),
c_0_27 ).
fof(c_0_73,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
c_0_28 ).
fof(c_0_74,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
c_0_29 ).
fof(c_0_75,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_76,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_77,axiom,
? [X1] : empty(X1),
c_0_32 ).
fof(c_0_78,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
c_0_33 ).
fof(c_0_79,axiom,
( empty(empty_set)
& relation(empty_set) ),
c_0_34 ).
fof(c_0_80,axiom,
empty(empty_set),
c_0_35 ).
fof(c_0_81,axiom,
$true,
c_0_36 ).
fof(c_0_82,axiom,
$true,
c_0_37 ).
fof(c_0_83,axiom,
$true,
c_0_38 ).
fof(c_0_84,axiom,
$true,
c_0_39 ).
fof(c_0_85,axiom,
$true,
c_0_40 ).
fof(c_0_86,axiom,
$true,
c_0_41 ).
fof(c_0_87,axiom,
$true,
c_0_42 ).
fof(c_0_88,axiom,
$true,
c_0_43 ).
fof(c_0_89,axiom,
$true,
c_0_44 ).
fof(c_0_90,plain,
! [X6,X7,X8,X9,X11,X12,X13,X14,X16] :
( ( in(ordered_pair(esk1_4(X6,X7,X8,X9),X9),X6)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( in(esk1_4(X6,X7,X8,X9),X7)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(ordered_pair(X12,X11),X6)
| ~ in(X12,X7)
| in(X11,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(esk2_3(X6,X13,X14),X14)
| ~ in(ordered_pair(X16,esk2_3(X6,X13,X14)),X6)
| ~ in(X16,X13)
| X14 = relation_image(X6,X13)
| ~ relation(X6) )
& ( in(ordered_pair(esk3_3(X6,X13,X14),esk2_3(X6,X13,X14)),X6)
| in(esk2_3(X6,X13,X14),X14)
| X14 = relation_image(X6,X13)
| ~ relation(X6) )
& ( in(esk3_3(X6,X13,X14),X13)
| in(esk2_3(X6,X13,X14),X14)
| X14 = relation_image(X6,X13)
| ~ 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_45])])])])])]) ).
fof(c_0_91,plain,
! [X5,X6,X7,X9,X10,X11,X13] :
( ( ~ in(X7,X6)
| in(ordered_pair(esk8_3(X5,X6,X7),X7),X5)
| X6 != relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X10,X9),X5)
| in(X9,X6)
| X6 != relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(esk9_2(X5,X11),X11)
| ~ in(ordered_pair(X13,esk9_2(X5,X11)),X5)
| X11 = relation_rng(X5)
| ~ relation(X5) )
& ( in(esk9_2(X5,X11),X11)
| in(ordered_pair(esk10_2(X5,X11),esk9_2(X5,X11)),X5)
| X11 = relation_rng(X5)
| ~ relation(X5) ) ),
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_46])])])])])]) ).
fof(c_0_92,plain,
! [X5,X6,X7,X9,X10,X11,X13] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk5_3(X5,X6,X7)),X5)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X9,X10),X5)
| in(X9,X6)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(esk6_2(X5,X11),X11)
| ~ in(ordered_pair(esk6_2(X5,X11),X13),X5)
| X11 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk6_2(X5,X11),X11)
| in(ordered_pair(esk6_2(X5,X11),esk7_2(X5,X11)),X5)
| X11 = relation_dom(X5)
| ~ relation(X5) ) ),
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_47])])])])])]) ).
fof(c_0_93,plain,
! [X4,X5,X6,X7,X8] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk4_2(X7,X8),X7)
| subset(X7,X8) )
& ( ~ in(esk4_2(X7,X8),X8)
| subset(X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])])]) ).
fof(c_0_94,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).
fof(c_0_95,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_96,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_97,plain,
! [X3,X4] :
( ~ relation(X4)
| subset(relation_image(X4,X3),relation_rng(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])]) ).
fof(c_0_98,plain,
! [X3,X4] : ~ empty(unordered_pair(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_99,plain,
! [X3,X4] : ~ empty(ordered_pair(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_100,plain,
! [X3,X4,X5,X6] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X5,X6)
| ~ subset(X6,X5)
| X5 = X6 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])]) ).
fof(c_0_101,plain,
! [X3,X4,X5,X6] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X5,X6)
| element(X5,powerset(X6)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
fof(c_0_102,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ in(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).
fof(c_0_103,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])]) ).
fof(c_0_104,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
fof(c_0_105,plain,
! [X3] :
( ( element(esk13_1(X3),powerset(X3))
| empty(X3) )
& ( ~ empty(esk13_1(X3))
| empty(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
fof(c_0_106,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_107,plain,
! [X2] :
( empty(X2)
| ~ relation(X2)
| ~ empty(relation_rng(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_108,plain,
! [X2] :
( empty(X2)
| ~ relation(X2)
| ~ empty(relation_dom(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])]) ).
fof(c_0_109,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_110,plain,
! [X3] :
( element(esk16_1(X3),powerset(X3))
& empty(esk16_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_65])]) ).
fof(c_0_111,plain,
! [X3] : element(esk11_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_66])]) ).
fof(c_0_112,plain,
! [X2] :
( ( empty(relation_rng(X2))
| ~ empty(X2) )
& ( relation(relation_rng(X2))
| ~ empty(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
fof(c_0_113,plain,
! [X2] :
( ( empty(relation_dom(X2))
| ~ empty(X2) )
& ( relation(relation_dom(X2))
| ~ empty(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
fof(c_0_114,plain,
! [X2] : ~ empty(singleton(X2)),
inference(variable_rename,[status(thm)],[c_0_69]) ).
fof(c_0_115,plain,
! [X2] : ~ empty(powerset(X2)),
inference(variable_rename,[status(thm)],[c_0_70]) ).
fof(c_0_116,plain,
! [X3,X4] :
( ~ empty(X3)
| X3 = X4
| ~ empty(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])]) ).
fof(c_0_117,plain,
! [X3,X4] : subset(X3,X3),
inference(variable_rename,[status(thm)],[c_0_72]) ).
fof(c_0_118,plain,
! [X2] :
( ~ empty(X2)
| relation(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])]) ).
fof(c_0_119,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])]) ).
fof(c_0_120,plain,
~ empty(esk17_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_75])]) ).
fof(c_0_121,plain,
( ~ empty(esk15_0)
& relation(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_76])]) ).
fof(c_0_122,plain,
empty(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_77])]) ).
fof(c_0_123,plain,
( empty(esk12_0)
& relation(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_78])]) ).
fof(c_0_124,axiom,
( empty(empty_set)
& relation(empty_set) ),
c_0_79 ).
fof(c_0_125,axiom,
empty(empty_set),
c_0_80 ).
fof(c_0_126,axiom,
$true,
c_0_81 ).
fof(c_0_127,axiom,
$true,
c_0_82 ).
fof(c_0_128,axiom,
$true,
c_0_83 ).
fof(c_0_129,axiom,
$true,
c_0_84 ).
fof(c_0_130,axiom,
$true,
c_0_85 ).
fof(c_0_131,axiom,
$true,
c_0_86 ).
fof(c_0_132,axiom,
$true,
c_0_87 ).
fof(c_0_133,axiom,
$true,
c_0_88 ).
fof(c_0_134,axiom,
$true,
c_0_89 ).
cnf(c_0_135,plain,
( in(ordered_pair(esk1_4(X1,X3,X2,X4),X4),X1)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_136,plain,
( X2 = relation_image(X1,X3)
| ~ relation(X1)
| ~ in(X4,X3)
| ~ in(ordered_pair(X4,esk2_3(X1,X3,X2)),X1)
| ~ in(esk2_3(X1,X3,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_137,plain,
( X2 = relation_image(X1,X3)
| in(esk2_3(X1,X3,X2),X2)
| in(ordered_pair(esk3_3(X1,X3,X2),esk2_3(X1,X3,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_138,plain,
( in(esk1_4(X1,X3,X2,X4),X3)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_139,plain,
( in(ordered_pair(esk8_3(X1,X2,X3),X3),X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_140,plain,
( in(ordered_pair(X3,esk5_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_141,plain,
( X2 = relation_image(X1,X3)
| in(esk2_3(X1,X3,X2),X2)
| in(esk3_3(X1,X3,X2),X3)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_142,plain,
( X2 = relation_rng(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,esk9_2(X1,X2)),X1)
| ~ in(esk9_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_143,plain,
( X2 = relation_dom(X1)
| ~ relation(X1)
| ~ in(ordered_pair(esk6_2(X1,X2),X3),X1)
| ~ in(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_144,plain,
( X2 = relation_rng(X1)
| in(ordered_pair(esk10_2(X1,X2),esk9_2(X1,X2)),X1)
| in(esk9_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_145,plain,
( X2 = relation_dom(X1)
| in(ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),X1)
| in(esk6_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_146,plain,
( in(X4,X2)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X5,X3)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_147,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(ordered_pair(X4,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_148,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_149,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_150,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_151,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_152,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_153,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_154,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_155,plain,
( subset(relation_image(X1,X2),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_156,plain,
~ empty(unordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_157,plain,
~ empty(ordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_158,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_159,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_160,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_161,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_162,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_163,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_164,plain,
( empty(X1)
| element(esk13_1(X1),powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_165,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_166,plain,
( empty(X1)
| ~ empty(relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_167,plain,
( empty(X1)
| ~ empty(relation_dom(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_168,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_169,plain,
element(esk16_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_170,plain,
( empty(X1)
| ~ empty(esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_171,plain,
element(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_172,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_173,plain,
( subset(X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_174,plain,
( empty(relation_rng(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_175,plain,
( relation(relation_rng(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_176,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_177,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_178,plain,
~ empty(singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_179,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_180,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_181,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_182,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_183,plain,
empty(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_184,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_185,plain,
~ empty(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_186,plain,
~ empty(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_187,plain,
relation(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_188,plain,
empty(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_189,plain,
empty(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_190,plain,
relation(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_191,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_192,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_193,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_194,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_195,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_196,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_197,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_198,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_199,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_200,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_201,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_202,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_203,plain,
( in(ordered_pair(esk1_4(X1,X3,X2,X4),X4),X1)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
c_0_135,
[final] ).
cnf(c_0_204,plain,
( X2 = relation_image(X1,X3)
| ~ relation(X1)
| ~ in(X4,X3)
| ~ in(ordered_pair(X4,esk2_3(X1,X3,X2)),X1)
| ~ in(esk2_3(X1,X3,X2),X2) ),
c_0_136,
[final] ).
cnf(c_0_205,plain,
( X2 = relation_image(X1,X3)
| in(esk2_3(X1,X3,X2),X2)
| in(ordered_pair(esk3_3(X1,X3,X2),esk2_3(X1,X3,X2)),X1)
| ~ relation(X1) ),
c_0_137,
[final] ).
cnf(c_0_206,plain,
( in(esk1_4(X1,X3,X2,X4),X3)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
c_0_138,
[final] ).
cnf(c_0_207,plain,
( in(ordered_pair(esk8_3(X1,X2,X3),X3),X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
c_0_139,
[final] ).
cnf(c_0_208,plain,
( in(ordered_pair(X3,esk5_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
c_0_140,
[final] ).
cnf(c_0_209,plain,
( X2 = relation_image(X1,X3)
| in(esk2_3(X1,X3,X2),X2)
| in(esk3_3(X1,X3,X2),X3)
| ~ relation(X1) ),
c_0_141,
[final] ).
cnf(c_0_210,plain,
( X2 = relation_rng(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,esk9_2(X1,X2)),X1)
| ~ in(esk9_2(X1,X2),X2) ),
c_0_142,
[final] ).
cnf(c_0_211,plain,
( X2 = relation_dom(X1)
| ~ relation(X1)
| ~ in(ordered_pair(esk6_2(X1,X2),X3),X1)
| ~ in(esk6_2(X1,X2),X2) ),
c_0_143,
[final] ).
cnf(c_0_212,plain,
( X2 = relation_rng(X1)
| in(ordered_pair(esk10_2(X1,X2),esk9_2(X1,X2)),X1)
| in(esk9_2(X1,X2),X2)
| ~ relation(X1) ),
c_0_144,
[final] ).
cnf(c_0_213,plain,
( X2 = relation_dom(X1)
| in(ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),X1)
| in(esk6_2(X1,X2),X2)
| ~ relation(X1) ),
c_0_145,
[final] ).
cnf(c_0_214,plain,
( in(X4,X2)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X5,X3)
| ~ in(ordered_pair(X5,X4),X1) ),
c_0_146,
[final] ).
cnf(c_0_215,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(ordered_pair(X4,X3),X1) ),
c_0_147,
[final] ).
cnf(c_0_216,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
c_0_148,
[final] ).
cnf(c_0_217,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
c_0_149,
[final] ).
cnf(c_0_218,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
c_0_150,
[final] ).
cnf(c_0_219,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
c_0_151,
[final] ).
cnf(c_0_220,plain,
unordered_pair(unordered_pair(X1,X2),singleton(X1)) = ordered_pair(X1,X2),
c_0_152,
[final] ).
cnf(c_0_221,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
c_0_153,
[final] ).
cnf(c_0_222,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
c_0_154,
[final] ).
cnf(c_0_223,plain,
( subset(relation_image(X1,X2),relation_rng(X1))
| ~ relation(X1) ),
c_0_155,
[final] ).
cnf(c_0_224,plain,
~ empty(unordered_pair(X1,X2)),
c_0_156,
[final] ).
cnf(c_0_225,plain,
~ empty(ordered_pair(X1,X2)),
c_0_157,
[final] ).
cnf(c_0_226,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
c_0_158,
[final] ).
cnf(c_0_227,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
c_0_159,
[final] ).
cnf(c_0_228,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
c_0_160,
[final] ).
cnf(c_0_229,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
c_0_161,
[final] ).
cnf(c_0_230,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
c_0_162,
[final] ).
cnf(c_0_231,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
c_0_163,
[final] ).
cnf(c_0_232,plain,
( empty(X1)
| element(esk13_1(X1),powerset(X1)) ),
c_0_164,
[final] ).
cnf(c_0_233,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_165,
[final] ).
cnf(c_0_234,plain,
( empty(X1)
| ~ empty(relation_rng(X1))
| ~ relation(X1) ),
c_0_166,
[final] ).
cnf(c_0_235,plain,
( empty(X1)
| ~ empty(relation_dom(X1))
| ~ relation(X1) ),
c_0_167,
[final] ).
cnf(c_0_236,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
c_0_168,
[final] ).
cnf(c_0_237,plain,
element(esk16_1(X1),powerset(X1)),
c_0_169,
[final] ).
cnf(c_0_238,plain,
( empty(X1)
| ~ empty(esk13_1(X1)) ),
c_0_170,
[final] ).
cnf(c_0_239,plain,
element(esk11_1(X1),X1),
c_0_171,
[final] ).
cnf(c_0_240,plain,
( subset(X1,X2)
| X1 != X2 ),
c_0_172,
[final] ).
cnf(c_0_241,plain,
( subset(X2,X1)
| X1 != X2 ),
c_0_173,
[final] ).
cnf(c_0_242,plain,
( empty(relation_rng(X1))
| ~ empty(X1) ),
c_0_174,
[final] ).
cnf(c_0_243,plain,
( relation(relation_rng(X1))
| ~ empty(X1) ),
c_0_175,
[final] ).
cnf(c_0_244,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
c_0_176,
[final] ).
cnf(c_0_245,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
c_0_177,
[final] ).
cnf(c_0_246,plain,
~ empty(singleton(X1)),
c_0_178,
[final] ).
cnf(c_0_247,plain,
~ empty(powerset(X1)),
c_0_179,
[final] ).
cnf(c_0_248,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_180,
[final] ).
cnf(c_0_249,plain,
subset(X1,X1),
c_0_181,
[final] ).
cnf(c_0_250,plain,
( relation(X1)
| ~ empty(X1) ),
c_0_182,
[final] ).
cnf(c_0_251,plain,
empty(esk16_1(X1)),
c_0_183,
[final] ).
cnf(c_0_252,plain,
( X1 = empty_set
| ~ empty(X1) ),
c_0_184,
[final] ).
cnf(c_0_253,plain,
~ empty(esk17_0),
c_0_185,
[final] ).
cnf(c_0_254,plain,
~ empty(esk15_0),
c_0_186,
[final] ).
cnf(c_0_255,plain,
relation(esk15_0),
c_0_187,
[final] ).
cnf(c_0_256,plain,
empty(esk14_0),
c_0_188,
[final] ).
cnf(c_0_257,plain,
empty(esk12_0),
c_0_189,
[final] ).
cnf(c_0_258,plain,
relation(esk12_0),
c_0_190,
[final] ).
cnf(c_0_259,plain,
empty(empty_set),
c_0_191,
[final] ).
cnf(c_0_260,plain,
relation(empty_set),
c_0_192,
[final] ).
cnf(c_0_261,plain,
empty(empty_set),
c_0_193,
[final] ).
cnf(c_0_262,plain,
$true,
c_0_194,
[final] ).
cnf(c_0_263,plain,
$true,
c_0_195,
[final] ).
cnf(c_0_264,plain,
$true,
c_0_196,
[final] ).
cnf(c_0_265,plain,
$true,
c_0_197,
[final] ).
cnf(c_0_266,plain,
$true,
c_0_198,
[final] ).
cnf(c_0_267,plain,
$true,
c_0_199,
[final] ).
cnf(c_0_268,plain,
$true,
c_0_200,
[final] ).
cnf(c_0_269,plain,
$true,
c_0_201,
[final] ).
cnf(c_0_270,plain,
$true,
c_0_202,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_203_0,axiom,
( in(ordered_pair(sk1_esk1_4(X1,X3,X2,X4),X4),X1)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_1,axiom,
( ~ relation(X1)
| in(ordered_pair(sk1_esk1_4(X1,X3,X2,X4),X4),X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_2,axiom,
( X2 != relation_image(X1,X3)
| ~ relation(X1)
| in(ordered_pair(sk1_esk1_4(X1,X3,X2,X4),X4),X1)
| ~ in(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_3,axiom,
( ~ in(X4,X2)
| X2 != relation_image(X1,X3)
| ~ relation(X1)
| in(ordered_pair(sk1_esk1_4(X1,X3,X2,X4),X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_204_0,axiom,
( X2 = relation_image(X1,X3)
| ~ relation(X1)
| ~ in(X4,X3)
| ~ in(ordered_pair(X4,sk1_esk2_3(X1,X3,X2)),X1)
| ~ in(sk1_esk2_3(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_1,axiom,
( ~ relation(X1)
| X2 = relation_image(X1,X3)
| ~ in(X4,X3)
| ~ in(ordered_pair(X4,sk1_esk2_3(X1,X3,X2)),X1)
| ~ in(sk1_esk2_3(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_2,axiom,
( ~ in(X4,X3)
| ~ relation(X1)
| X2 = relation_image(X1,X3)
| ~ in(ordered_pair(X4,sk1_esk2_3(X1,X3,X2)),X1)
| ~ in(sk1_esk2_3(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_3,axiom,
( ~ in(ordered_pair(X4,sk1_esk2_3(X1,X3,X2)),X1)
| ~ in(X4,X3)
| ~ relation(X1)
| X2 = relation_image(X1,X3)
| ~ in(sk1_esk2_3(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_4,axiom,
( ~ in(sk1_esk2_3(X1,X3,X2),X2)
| ~ in(ordered_pair(X4,sk1_esk2_3(X1,X3,X2)),X1)
| ~ in(X4,X3)
| ~ relation(X1)
| X2 = relation_image(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_205_0,axiom,
( X2 = relation_image(X1,X3)
| in(sk1_esk2_3(X1,X3,X2),X2)
| in(ordered_pair(sk1_esk3_3(X1,X3,X2),sk1_esk2_3(X1,X3,X2)),X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_205_1,axiom,
( in(sk1_esk2_3(X1,X3,X2),X2)
| X2 = relation_image(X1,X3)
| in(ordered_pair(sk1_esk3_3(X1,X3,X2),sk1_esk2_3(X1,X3,X2)),X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_205_2,axiom,
( in(ordered_pair(sk1_esk3_3(X1,X3,X2),sk1_esk2_3(X1,X3,X2)),X1)
| in(sk1_esk2_3(X1,X3,X2),X2)
| X2 = relation_image(X1,X3)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_205_3,axiom,
( ~ relation(X1)
| in(ordered_pair(sk1_esk3_3(X1,X3,X2),sk1_esk2_3(X1,X3,X2)),X1)
| in(sk1_esk2_3(X1,X3,X2),X2)
| X2 = relation_image(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_206_0,axiom,
( in(sk1_esk1_4(X1,X3,X2,X4),X3)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_1,axiom,
( ~ relation(X1)
| in(sk1_esk1_4(X1,X3,X2,X4),X3)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_2,axiom,
( X2 != relation_image(X1,X3)
| ~ relation(X1)
| in(sk1_esk1_4(X1,X3,X2,X4),X3)
| ~ in(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_3,axiom,
( ~ in(X4,X2)
| X2 != relation_image(X1,X3)
| ~ relation(X1)
| in(sk1_esk1_4(X1,X3,X2,X4),X3) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_207_0,axiom,
( in(ordered_pair(sk1_esk8_3(X1,X2,X3),X3),X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_1,axiom,
( ~ relation(X1)
| in(ordered_pair(sk1_esk8_3(X1,X2,X3),X3),X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_2,axiom,
( X2 != relation_rng(X1)
| ~ relation(X1)
| in(ordered_pair(sk1_esk8_3(X1,X2,X3),X3),X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_3,axiom,
( ~ in(X3,X2)
| X2 != relation_rng(X1)
| ~ relation(X1)
| in(ordered_pair(sk1_esk8_3(X1,X2,X3),X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_208_0,axiom,
( in(ordered_pair(X3,sk1_esk5_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_1,axiom,
( ~ relation(X1)
| in(ordered_pair(X3,sk1_esk5_3(X1,X2,X3)),X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_2,axiom,
( X2 != relation_dom(X1)
| ~ relation(X1)
| in(ordered_pair(X3,sk1_esk5_3(X1,X2,X3)),X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_3,axiom,
( ~ in(X3,X2)
| X2 != relation_dom(X1)
| ~ relation(X1)
| in(ordered_pair(X3,sk1_esk5_3(X1,X2,X3)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_209_0,axiom,
( X2 = relation_image(X1,X3)
| in(sk1_esk2_3(X1,X3,X2),X2)
| in(sk1_esk3_3(X1,X3,X2),X3)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_1,axiom,
( in(sk1_esk2_3(X1,X3,X2),X2)
| X2 = relation_image(X1,X3)
| in(sk1_esk3_3(X1,X3,X2),X3)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_2,axiom,
( in(sk1_esk3_3(X1,X3,X2),X3)
| in(sk1_esk2_3(X1,X3,X2),X2)
| X2 = relation_image(X1,X3)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_3,axiom,
( ~ relation(X1)
| in(sk1_esk3_3(X1,X3,X2),X3)
| in(sk1_esk2_3(X1,X3,X2),X2)
| X2 = relation_image(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_210_0,axiom,
( X2 = relation_rng(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,sk1_esk9_2(X1,X2)),X1)
| ~ in(sk1_esk9_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_1,axiom,
( ~ relation(X1)
| X2 = relation_rng(X1)
| ~ in(ordered_pair(X3,sk1_esk9_2(X1,X2)),X1)
| ~ in(sk1_esk9_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_2,axiom,
( ~ in(ordered_pair(X3,sk1_esk9_2(X1,X2)),X1)
| ~ relation(X1)
| X2 = relation_rng(X1)
| ~ in(sk1_esk9_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_3,axiom,
( ~ in(sk1_esk9_2(X1,X2),X2)
| ~ in(ordered_pair(X3,sk1_esk9_2(X1,X2)),X1)
| ~ relation(X1)
| X2 = relation_rng(X1) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_211_0,axiom,
( X2 = relation_dom(X1)
| ~ relation(X1)
| ~ in(ordered_pair(sk1_esk6_2(X1,X2),X3),X1)
| ~ in(sk1_esk6_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_211_1,axiom,
( ~ relation(X1)
| X2 = relation_dom(X1)
| ~ in(ordered_pair(sk1_esk6_2(X1,X2),X3),X1)
| ~ in(sk1_esk6_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_211_2,axiom,
( ~ in(ordered_pair(sk1_esk6_2(X1,X2),X3),X1)
| ~ relation(X1)
| X2 = relation_dom(X1)
| ~ in(sk1_esk6_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_211_3,axiom,
( ~ in(sk1_esk6_2(X1,X2),X2)
| ~ in(ordered_pair(sk1_esk6_2(X1,X2),X3),X1)
| ~ relation(X1)
| X2 = relation_dom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_212_0,axiom,
( X2 = relation_rng(X1)
| in(ordered_pair(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2)),X1)
| in(sk1_esk9_2(X1,X2),X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_1,axiom,
( in(ordered_pair(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2)),X1)
| X2 = relation_rng(X1)
| in(sk1_esk9_2(X1,X2),X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_2,axiom,
( in(sk1_esk9_2(X1,X2),X2)
| in(ordered_pair(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2)),X1)
| X2 = relation_rng(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_3,axiom,
( ~ relation(X1)
| in(sk1_esk9_2(X1,X2),X2)
| in(ordered_pair(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2)),X1)
| X2 = relation_rng(X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_213_0,axiom,
( X2 = relation_dom(X1)
| in(ordered_pair(sk1_esk6_2(X1,X2),sk1_esk7_2(X1,X2)),X1)
| in(sk1_esk6_2(X1,X2),X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_1,axiom,
( in(ordered_pair(sk1_esk6_2(X1,X2),sk1_esk7_2(X1,X2)),X1)
| X2 = relation_dom(X1)
| in(sk1_esk6_2(X1,X2),X2)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_2,axiom,
( in(sk1_esk6_2(X1,X2),X2)
| in(ordered_pair(sk1_esk6_2(X1,X2),sk1_esk7_2(X1,X2)),X1)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_3,axiom,
( ~ relation(X1)
| in(sk1_esk6_2(X1,X2),X2)
| in(ordered_pair(sk1_esk6_2(X1,X2),sk1_esk7_2(X1,X2)),X1)
| X2 = relation_dom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_214_0,axiom,
( in(X4,X2)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X5,X3)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_1,axiom,
( ~ relation(X1)
| in(X4,X2)
| X2 != relation_image(X1,X3)
| ~ in(X5,X3)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_2,axiom,
( X2 != relation_image(X1,X3)
| ~ relation(X1)
| in(X4,X2)
| ~ in(X5,X3)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_3,axiom,
( ~ in(X5,X3)
| X2 != relation_image(X1,X3)
| ~ relation(X1)
| in(X4,X2)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_4,axiom,
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(X5,X3)
| X2 != relation_image(X1,X3)
| ~ relation(X1)
| in(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_215_0,axiom,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(ordered_pair(X4,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_1,axiom,
( ~ relation(X1)
| in(X3,X2)
| X2 != relation_rng(X1)
| ~ in(ordered_pair(X4,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_2,axiom,
( X2 != relation_rng(X1)
| ~ relation(X1)
| in(X3,X2)
| ~ in(ordered_pair(X4,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_3,axiom,
( ~ in(ordered_pair(X4,X3),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_216_0,axiom,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_1,axiom,
( ~ relation(X1)
| in(X3,X2)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_2,axiom,
( X2 != relation_dom(X1)
| ~ relation(X1)
| in(X3,X2)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_3,axiom,
( ~ in(ordered_pair(X3,X4),X1)
| X2 != relation_dom(X1)
| ~ relation(X1)
| in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_217_0,axiom,
( subset(X1,X2)
| ~ in(sk1_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_217_1,axiom,
( ~ in(sk1_esk4_2(X1,X2),X2)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_218_0,axiom,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_1,axiom,
( ~ element(X3,powerset(X2))
| element(X1,X2)
| ~ in(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_2,axiom,
( ~ in(X1,X3)
| ~ element(X3,powerset(X2))
| element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_219_0,axiom,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_1,axiom,
( ~ element(X2,powerset(X1))
| ~ empty(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_2,axiom,
( ~ in(X3,X2)
| ~ element(X2,powerset(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_221_0,axiom,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_1,axiom,
( ~ in(X1,X3)
| in(X1,X2)
| ~ subset(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_2,axiom,
( ~ subset(X3,X2)
| ~ in(X1,X3)
| in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_222_0,axiom,
( subset(X1,X2)
| in(sk1_esk4_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_222_1,axiom,
( in(sk1_esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_223_0,axiom,
( subset(relation_image(X1,X2),relation_rng(X1))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_1,axiom,
( ~ relation(X1)
| subset(relation_image(X1,X2),relation_rng(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_226_0,axiom,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_226_1,axiom,
( ~ subset(X2,X1)
| X1 = X2
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_226_2,axiom,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_227_0,axiom,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_1,axiom,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_228_0,axiom,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_1,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_229_0,axiom,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_1,axiom,
( ~ subset(X1,X2)
| element(X1,powerset(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_230_0,axiom,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_1,axiom,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_2,axiom,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_231_0,axiom,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_1,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_232_0,axiom,
( empty(X1)
| element(sk1_esk13_1(X1),powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_1,axiom,
( element(sk1_esk13_1(X1),powerset(X1))
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_233_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_234_0,axiom,
( empty(X1)
| ~ empty(relation_rng(X1))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_1,axiom,
( ~ empty(relation_rng(X1))
| empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_2,axiom,
( ~ relation(X1)
| ~ empty(relation_rng(X1))
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_235_0,axiom,
( empty(X1)
| ~ empty(relation_dom(X1))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_1,axiom,
( ~ empty(relation_dom(X1))
| empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_2,axiom,
( ~ relation(X1)
| ~ empty(relation_dom(X1))
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_238_0,axiom,
( empty(X1)
| ~ empty(sk1_esk13_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_1,axiom,
( ~ empty(sk1_esk13_1(X1))
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_240_0,axiom,
( subset(X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_1,axiom,
( X1 != X2
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_241_0,axiom,
( subset(X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_1,axiom,
( X1 != X2
| subset(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_242_0,axiom,
( empty(relation_rng(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_242_1,axiom,
( ~ empty(X1)
| empty(relation_rng(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_243_0,axiom,
( relation(relation_rng(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_1,axiom,
( ~ empty(X1)
| relation(relation_rng(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_244_0,axiom,
( empty(relation_dom(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_1,axiom,
( ~ empty(X1)
| empty(relation_dom(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_245_0,axiom,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_1,axiom,
( ~ empty(X1)
| relation(relation_dom(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_248_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_250_0,axiom,
( relation(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_250_1,axiom,
( ~ empty(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_252_0,axiom,
( X1 = empty_set
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_1,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_224_0,axiom,
~ empty(unordered_pair(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_225_0,axiom,
~ empty(ordered_pair(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_246_0,axiom,
~ empty(singleton(X1)),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_247_0,axiom,
~ empty(powerset(X1)),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_253_0,axiom,
~ empty(sk1_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_254_0,axiom,
~ empty(sk1_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_220_0,axiom,
unordered_pair(unordered_pair(X1,X2),singleton(X1)) = ordered_pair(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_236_0,axiom,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_237_0,axiom,
element(sk1_esk16_1(X1),powerset(X1)),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_239_0,axiom,
element(sk1_esk11_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_249_0,axiom,
subset(X1,X1),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_251_0,axiom,
empty(sk1_esk16_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_255_0,axiom,
relation(sk1_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_256_0,axiom,
empty(sk1_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_257_0,axiom,
empty(sk1_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_258_0,axiom,
relation(sk1_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_259_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_260_0,axiom,
relation(empty_set),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_261_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_262_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_263_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_264_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_265_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_266_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_267_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_267]) ).
cnf(c_0_268_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_269_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_270_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_270]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
( relation(X1)
=> relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
file('<stdin>',t146_relat_1) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
( relation(esk1_0)
& relation_image(esk1_0,relation_dom(esk1_0)) != relation_rng(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_004,negated_conjecture,
relation_image(esk1_0,relation_dom(esk1_0)) != relation_rng(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
relation_image(esk1_0,relation_dom(esk1_0)) != relation_rng(esk1_0),
c_0_3,
[final] ).
cnf(c_0_6_007,negated_conjecture,
relation(esk1_0),
c_0_4,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_96,plain,
( in(X0,X1)
| ~ relation(X2)
| X1 != relation_image(X2,X3)
| ~ in(X4,X3)
| ~ in(ordered_pair(X4,X0),X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_214_4) ).
cnf(c_302,plain,
( in(X0,X1)
| ~ relation(X2)
| X1 != relation_image(X2,X3)
| ~ in(X4,X3)
| ~ in(ordered_pair(X4,X0),X2) ),
inference(copy,[status(esa)],[c_96]) ).
cnf(c_76788,plain,
( ~ relation(X0)
| ~ in(ordered_pair(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),X1),X0)
| ~ in(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),X2)
| in(X1,X3)
| X3 != relation_image(X0,X2) ),
inference(instantiation,[status(thm)],[c_302]) ).
cnf(c_140632,plain,
( ~ relation(X0)
| ~ in(ordered_pair(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),X1),X0)
| ~ in(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_dom(sk2_esk1_0))
| in(X1,X2)
| X2 != relation_image(X0,relation_dom(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_76788]) ).
cnf(c_294468,plain,
( ~ relation(X0)
| ~ in(ordered_pair(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),X1),X0)
| ~ in(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_dom(sk2_esk1_0))
| in(X1,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))
| relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)) != relation_image(X0,relation_dom(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_140632]) ).
cnf(c_387870,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk2_esk1_0)
| in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))
| ~ in(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_dom(sk2_esk1_0))
| relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)) != relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_294468]) ).
cnf(c_484443,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk2_esk1_0)
| in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))
| ~ in(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_dom(sk2_esk1_0)) ),
inference(equality_resolution_simp,[status(esa)],[c_387870]) ).
cnf(c_116,plain,
( ~ in(sk1_esk9_2(X0,X1),X1)
| ~ in(ordered_pair(X2,sk1_esk9_2(X0,X1)),X0)
| ~ relation(X0)
| X1 = relation_rng(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_210_0) ).
cnf(c_322,plain,
( ~ in(sk1_esk9_2(X0,X1),X1)
| ~ in(ordered_pair(X2,sk1_esk9_2(X0,X1)),X0)
| ~ relation(X0)
| X1 = relation_rng(X0) ),
inference(copy,[status(esa)],[c_116]) ).
cnf(c_27273,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(X0,sk1_esk9_2(sk2_esk1_0,X1)),sk2_esk1_0)
| ~ in(sk1_esk9_2(sk2_esk1_0,X1),X1)
| X1 = relation_rng(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_213501,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk1_esk8_3(sk2_esk1_0,relation_rng(sk2_esk1_0),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk2_esk1_0)
| ~ in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))
| relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)) = relation_rng(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_27273]) ).
cnf(c_128,plain,
( ~ in(X0,X1)
| X1 != relation_rng(X2)
| ~ relation(X2)
| in(ordered_pair(sk1_esk8_3(X2,X1,X0),X0),X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_207_0) ).
cnf(c_334,plain,
( ~ in(X0,X1)
| X1 != relation_rng(X2)
| ~ relation(X2)
| in(ordered_pair(sk1_esk8_3(X2,X1,X0),X0),X2) ),
inference(copy,[status(esa)],[c_128]) ).
cnf(c_77064,plain,
( ~ relation(X0)
| in(ordered_pair(sk1_esk8_3(X0,relation_rng(sk2_esk1_0),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),X0)
| ~ in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_rng(sk2_esk1_0))
| relation_rng(sk2_esk1_0) != relation_rng(X0) ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_141448,plain,
( ~ relation(sk2_esk1_0)
| in(ordered_pair(sk1_esk8_3(sk2_esk1_0,relation_rng(sk2_esk1_0),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk2_esk1_0)
| ~ in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_rng(sk2_esk1_0))
| relation_rng(sk2_esk1_0) != relation_rng(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_77064]) ).
cnf(c_17,plain,
subset(X0,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_249_0) ).
cnf(c_223,plain,
subset(X0,X0),
inference(copy,[status(esa)],[c_17]) ).
cnf(c_140164,plain,
subset(relation_dom(sk2_esk1_0),relation_dom(sk2_esk1_0)),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_72,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_226_0) ).
cnf(c_278,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_27244,plain,
( ~ subset(relation_dom(sk2_esk1_0),X0)
| ~ subset(X0,relation_dom(sk2_esk1_0))
| X0 = relation_dom(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_140163,plain,
( ~ subset(relation_dom(sk2_esk1_0),relation_dom(sk2_esk1_0))
| relation_dom(sk2_esk1_0) = relation_dom(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_27244]) ).
cnf(c_88,plain,
( in(X0,X1)
| ~ relation(X2)
| X1 != relation_dom(X2)
| ~ in(ordered_pair(X0,X3),X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_216_3) ).
cnf(c_294,plain,
( in(X0,X1)
| ~ relation(X2)
| X1 != relation_dom(X2)
| ~ in(ordered_pair(X0,X3),X2) ),
inference(copy,[status(esa)],[c_88]) ).
cnf(c_26880,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk2_esk1_0)
| in(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),X0)
| X0 != relation_dom(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_294]) ).
cnf(c_76796,plain,
( ~ relation(sk2_esk1_0)
| ~ in(ordered_pair(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk2_esk1_0)
| in(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_dom(sk2_esk1_0))
| relation_dom(sk2_esk1_0) != relation_dom(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_26880]) ).
cnf(c_27262,plain,
( ~ subset(relation_rng(sk2_esk1_0),X0)
| ~ subset(X0,relation_rng(sk2_esk1_0))
| X0 = relation_rng(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_76279,plain,
( ~ subset(relation_rng(sk2_esk1_0),relation_rng(sk2_esk1_0))
| relation_rng(sk2_esk1_0) = relation_rng(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_27262]) ).
cnf(c_77,plain,
( in(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_221_2) ).
cnf(c_283,plain,
( in(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) ),
inference(copy,[status(esa)],[c_77]) ).
cnf(c_26738,plain,
( ~ subset(relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)),X0)
| ~ in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))
| in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),X0) ),
inference(instantiation,[status(thm)],[c_283]) ).
cnf(c_75973,plain,
( ~ subset(relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)),relation_rng(sk2_esk1_0))
| in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_rng(sk2_esk1_0))
| ~ in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_26738]) ).
cnf(c_27383,plain,
subset(relation_rng(sk2_esk1_0),relation_rng(sk2_esk1_0)),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_74,plain,
( ~ relation(X0)
| subset(relation_image(X0,X1),relation_rng(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_223_0) ).
cnf(c_280,plain,
( ~ relation(X0)
| subset(relation_image(X0,X1),relation_rng(X0)) ),
inference(copy,[status(esa)],[c_74]) ).
cnf(c_26815,plain,
( ~ relation(sk2_esk1_0)
| subset(relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)),relation_rng(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_280]) ).
cnf(c_105,plain,
( X0 = relation_rng(X1)
| in(ordered_pair(sk1_esk10_2(X1,X0),sk1_esk9_2(X1,X0)),X1)
| in(sk1_esk9_2(X1,X0),X0)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_212_3) ).
cnf(c_311,plain,
( X0 = relation_rng(X1)
| in(ordered_pair(sk1_esk10_2(X1,X0),sk1_esk9_2(X1,X0)),X1)
| in(sk1_esk9_2(X1,X0),X0)
| ~ relation(X1) ),
inference(copy,[status(esa)],[c_105]) ).
cnf(c_26580,plain,
( ~ relation(sk2_esk1_0)
| in(ordered_pair(sk1_esk10_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))),sk2_esk1_0)
| in(sk1_esk9_2(sk2_esk1_0,relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0))),relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)))
| relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)) = relation_rng(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_311]) ).
cnf(c_146,negated_conjecture,
relation_image(sk2_esk1_0,relation_dom(sk2_esk1_0)) != relation_rng(sk2_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_5) ).
cnf(c_147,negated_conjecture,
relation(sk2_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p',c_0_6) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_484443,c_213501,c_141448,c_140164,c_140163,c_76796,c_76279,c_75973,c_27383,c_26815,c_26580,c_146,c_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU206+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n016.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 : Sun Jun 19 06:36:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.20/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41 % FOF problem with conjecture
% 0.20/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_fdef20.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_bd093f | grep -v "SZS"
% 0.20/0.44
% 0.20/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ iProver source info
% 0.20/0.44
% 0.20/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44 % git: non_committed_changes: true
% 0.20/0.44 % git: last_make_outside_of_git: true
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.37/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.37/0.55 % --bmc1_dump_file -
% 0.37/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.37/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.37/0.55 % --bmc1_ucm_extend_mode 1
% 0.37/0.55 % --bmc1_ucm_init_mode 2
% 0.37/0.55 % --bmc1_ucm_cone_mode none
% 0.37/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.37/0.55 % --bmc1_ucm_relax_model 4
% 0.37/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.37/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.37/0.55 % --bmc1_ucm_layered_model none
% 0.37/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.37/0.55
% 0.37/0.55 % ------ AIG Options
% 0.37/0.55
% 0.37/0.55 % --aig_mode false
% 0.37/0.55
% 0.37/0.55 % ------ Instantiation Options
% 0.37/0.55
% 0.37/0.55 % --instantiation_flag true
% 0.37/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.37/0.55 % --inst_solver_per_active 750
% 0.37/0.55 % --inst_solver_calls_frac 0.5
% 0.37/0.55 % --inst_passive_queue_type priority_queues
% 0.37/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.37/0.55 % --inst_passive_queues_freq [25;2]
% 0.37/0.55 % --inst_dismatching true
% 0.37/0.55 % --inst_eager_unprocessed_to_passive true
% 0.37/0.55 % --inst_prop_sim_given true
% 0.37/0.55 % --inst_prop_sim_new false
% 0.37/0.55 % --inst_orphan_elimination true
% 0.37/0.55 % --inst_learning_loop_flag true
% 0.37/0.55 % --inst_learning_start 3000
% 0.37/0.55 % --inst_learning_factor 2
% 0.37/0.55 % --inst_start_prop_sim_after_learn 3
% 0.37/0.55 % --inst_sel_renew solver
% 0.37/0.55 % --inst_lit_activity_flag true
% 0.37/0.55 % --inst_out_proof true
% 0.37/0.55
% 0.37/0.55 % ------ Resolution Options
% 0.37/0.55
% 0.37/0.55 % --resolution_flag true
% 0.37/0.55 % --res_lit_sel kbo_max
% 0.37/0.55 % --res_to_prop_solver none
% 0.37/0.55 % --res_prop_simpl_new false
% 0.37/0.55 % --res_prop_simpl_given false
% 0.37/0.55 % --res_passive_queue_type priority_queues
% 0.37/0.55 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.37/0.55 % --res_passive_queues_freq [15;5]
% 0.37/0.55 % --res_forward_subs full
% 0.37/0.55 % --res_backward_subs full
% 0.37/0.55 % --res_forward_subs_resolution true
% 0.37/0.55 % --res_backward_subs_resolution true
% 0.37/0.55 % --res_orphan_elimination false
% 0.37/0.55 % --res_time_limit 1000.
% 0.37/0.55 % --res_out_proof true
% 0.37/0.55 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_fdef20.s
% 0.37/0.55 % --modulo true
% 0.37/0.55
% 0.37/0.55 % ------ Combination Options
% 0.37/0.55
% 0.37/0.55 % --comb_res_mult 1000
% 0.37/0.55 % --comb_inst_mult 300
% 0.37/0.55 % ------
% 0.37/0.55
% 0.37/0.55 % ------ Parsing...% successful
% 0.37/0.55
% 0.37/0.55 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.37/0.55
% 0.37/0.55 % ------ Proving...
% 0.37/0.55 % ------ Problem Properties
% 0.37/0.55
% 0.37/0.55 %
% 0.37/0.55 % EPR false
% 0.37/0.55 % Horn false
% 0.37/0.55 % Has equality true
% 0.37/0.55
% 0.37/0.55 % % ------ Input Options Time Limit: Unbounded
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Compiling...
% 0.37/0.55 Loading plugin: done.
% 0.37/0.55 % % ------ Current options:
% 0.37/0.55
% 0.37/0.55 % ------ Input Options
% 0.37/0.55
% 0.37/0.55 % --out_options all
% 0.37/0.55 % --tptp_safe_out true
% 0.37/0.55 % --problem_path ""
% 0.37/0.55 % --include_path ""
% 0.37/0.55 % --clausifier .//eprover
% 0.37/0.55 % --clausifier_options --tstp-format
% 0.37/0.55 % --stdin false
% 0.37/0.55 % --dbg_backtrace false
% 0.37/0.55 % --dbg_dump_prop_clauses false
% 0.37/0.55 % --dbg_dump_prop_clauses_file -
% 0.37/0.55 % --dbg_out_stat false
% 0.37/0.55
% 0.37/0.55 % ------ General Options
% 0.37/0.55
% 0.37/0.55 % --fof false
% 0.37/0.55 % --time_out_real 150.
% 0.37/0.55 % --time_out_prep_mult 0.2
% 0.37/0.55 % --time_out_virtual -1.
% 0.37/0.55 % --schedule none
% 0.37/0.55 % --ground_splitting input
% 0.37/0.55 % --splitting_nvd 16
% 0.37/0.55 % --non_eq_to_eq false
% 0.37/0.55 % --prep_gs_sim true
% 0.37/0.55 % --prep_unflatten false
% 0.37/0.55 % --prep_res_sim true
% 0.37/0.55 % --prep_upred true
% 0.37/0.55 % --res_sim_input true
% 0.37/0.55 % --clause_weak_htbl true
% 0.37/0.55 % --gc_record_bc_elim false
% 0.37/0.55 % --symbol_type_check false
% 0.37/0.55 % --clausify_out false
% 0.37/0.55 % --large_theory_mode false
% 0.37/0.55 % --prep_sem_filter none
% 0.37/0.55 % --prep_sem_filter_out false
% 0.37/0.55 % --preprocessed_out false
% 0.37/0.55 % --sub_typing false
% 0.37/0.55 % --brand_transform false
% 0.37/0.55 % --pure_diseq_elim true
% 0.37/0.55 % --min_unsat_core false
% 0.37/0.55 % --pred_elim true
% 0.37/0.55 % --add_important_lit false
% 0.37/0.55 % --soft_assumptions false
% 0.37/0.55 % --reset_solvers false
% 0.37/0.55 % --bc_imp_inh []
% 0.37/0.55 % --conj_cone_tolerance 1.5
% 0.37/0.55 % --prolific_symb_bound 500
% 0.37/0.55 % --lt_threshold 2000
% 0.37/0.55
% 0.37/0.55 % ------ SAT Options
% 0.37/0.55
% 0.37/0.55 % --sat_mode false
% 0.37/0.55 % --sat_fm_restart_options ""
% 0.37/0.55 % --sat_gr_def false
% 0.37/0.55 % --sat_epr_types true
% 0.37/0.55 % --sat_non_cyclic_types false
% 0.37/0.55 % --sat_finite_models false
% 0.37/0.55 % --sat_fm_lemmas false
% 0.37/0.55 % --sat_fm_prep false
% 0.37/0.55 % --sat_fm_uc_incr true
% 0.37/0.55 % --sat_out_model small
% 0.37/0.55 % --sat_out_clauses false
% 0.37/0.55
% 0.37/0.55 % ------ QBF Options
% 0.37/0.55
% 0.37/0.55 % --qbf_mode false
% 0.37/0.55 % --qbf_elim_univ true
% 0.37/0.55 % --qbf_sk_in true
% 0.37/0.55 % --qbf_pred_elim true
% 0.37/0.55 % --qbf_split 32
% 0.37/0.55
% 0.37/0.55 % ------ BMC1 Options
% 0.37/0.55
% 0.37/0.55 % --bmc1_incremental false
% 0.37/0.55 % --bmc1_axioms reachable_all
% 0.37/0.55 % --bmc1_min_bound 0
% 0.37/0.55 % --bmc1_max_bound -1
% 0.37/0.55 % --bmc1_max_bound_default -1
% 0.37/0.55 % --bmc1_symbol_reachability true
% 0.37/0.55 % --bmc1_property_lemmas false
% 0.37/0.55 % --bmc1_k_induction false
% 0.37/0.55 % --bmc1_non_equiv_states false
% 0.37/0.55 % --bmc1_deadlock false
% 0.37/0.55 % --bmc1_ucm false
% 0.37/0.55 % --bmc1_add_unsat_core none
% 0.37/0.55 % --bmc1_unsat_core_children false
% 0.37/0.55 % --bmc1_unsat_core_extrapolate_axioms false
% 0.37/0.55 % --bmc1_out_stat full
% 0.37/0.55 % --bmc1_ground_init false
% 0.37/0.55 % --bmc1_pre_inst_next_state false
% 0.37/0.55 % --bmc1_pre_inst_state false
% 0.37/0.55 % --bmc1_pre_inst_reach_state false
% 0.37/0.55 % --bmc1_out_unsat_core false
% 0.37/0.55 % --bmc1_aig_witness_out false
% 0.37/0.55 % --bmc1_verbose false
% 0.37/0.55 % --bmc1_dump_clauses_tptp false
% 0.37/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.37/0.55 % --bmc1_dump_file -
% 0.37/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.37/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.37/0.55 % --bmc1_ucm_extend_mode 1
% 0.37/0.55 % --bmc1_ucm_init_mode 2
% 0.37/0.55 % --bmc1_ucm_cone_mode none
% 0.37/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.37/0.55 % --bmc1_ucm_relax_model 4
% 0.37/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.37/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.37/0.55 % --bmc1_ucm_layered_model none
% 0.37/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.37/0.55
% 0.37/0.55 % ------ AIG Options
% 0.37/0.55
% 0.37/0.55 % --aig_mode false
% 0.37/0.55
% 0.37/0.55 % ------ Instantiation Options
% 0.37/0.55
% 0.37/0.55 % --instantiation_flag true
% 0.37/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.37/0.55 % --inst_solver_per_active 750
% 0.37/0.55 % --inst_solver_calls_frac 0.5
% 0.37/0.55 % --inst_passive_queue_type priority_queues
% 0.37/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.37/0.55 % --inst_passive_queues_freq [25;2]
% 0.37/0.55 % --inst_dismatching true
% 0.37/0.55 % --inst_eager_unprocessed_to_passive true
% 150.23/150.44 % --inst_prop_sim_given true
% 150.23/150.44 % --inst_prop_sim_new false
% 150.23/150.44 % --inst_orphan_elimination true
% 150.23/150.44 % --inst_learning_loop_flag true
% 150.23/150.44 % --inst_learning_start 3000
% 150.23/150.44 % --inst_learning_factor 2
% 150.23/150.44 % --inst_start_prop_sim_after_learn 3
% 150.23/150.44 % --inst_sel_renew solver
% 150.23/150.44 % --inst_lit_activity_flag true
% 150.23/150.44 % --inst_out_proof true
% 150.23/150.44
% 150.23/150.44 % ------ Resolution Options
% 150.23/150.44
% 150.23/150.44 % --resolution_flag true
% 150.23/150.44 % --res_lit_sel kbo_max
% 150.23/150.44 % --res_to_prop_solver none
% 150.23/150.44 % --res_prop_simpl_new false
% 150.23/150.44 % --res_prop_simpl_given false
% 150.23/150.44 % --res_passive_queue_type priority_queues
% 150.23/150.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.23/150.44 % --res_passive_queues_freq [15;5]
% 150.23/150.44 % --res_forward_subs full
% 150.23/150.44 % --res_backward_subs full
% 150.23/150.44 % --res_forward_subs_resolution true
% 150.23/150.44 % --res_backward_subs_resolution true
% 150.23/150.44 % --res_orphan_elimination false
% 150.23/150.44 % --res_time_limit 1000.
% 150.23/150.44 % --res_out_proof true
% 150.23/150.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_fdef20.s
% 150.23/150.44 % --modulo true
% 150.23/150.44
% 150.23/150.44 % ------ Combination Options
% 150.23/150.44
% 150.23/150.44 % --comb_res_mult 1000
% 150.23/150.44 % --comb_inst_mult 300
% 150.23/150.44 % ------
% 150.23/150.44
% 150.23/150.44
% 150.23/150.44
% 150.23/150.44 % ------ Proving...
% 150.23/150.44 %
% 150.23/150.44
% 150.23/150.44
% 150.23/150.44 % Time Out Real
% 150.23/150.44
% 150.23/150.44 % ------ Statistics
% 150.23/150.44
% 150.23/150.44 % ------ General
% 150.23/150.44
% 150.23/150.44 % num_of_input_clauses: 75
% 150.23/150.44 % num_of_input_neg_conjectures: 2
% 150.23/150.44 % num_of_splits: 0
% 150.23/150.44 % num_of_split_atoms: 0
% 150.23/150.44 % num_of_sem_filtered_clauses: 0
% 150.23/150.44 % num_of_subtypes: 0
% 150.23/150.44 % monotx_restored_types: 0
% 150.23/150.44 % sat_num_of_epr_types: 0
% 150.23/150.44 % sat_num_of_non_cyclic_types: 0
% 150.23/150.44 % sat_guarded_non_collapsed_types: 0
% 150.23/150.44 % is_epr: 0
% 150.23/150.44 % is_horn: 0
% 150.23/150.44 % has_eq: 1
% 150.23/150.44 % num_pure_diseq_elim: 0
% 150.23/150.44 % simp_replaced_by: 0
% 150.23/150.44 % res_preprocessed: 4
% 150.23/150.44 % prep_upred: 0
% 150.23/150.44 % prep_unflattend: 0
% 150.23/150.44 % pred_elim_cands: 0
% 150.23/150.44 % pred_elim: 0
% 150.23/150.44 % pred_elim_cl: 0
% 150.23/150.44 % pred_elim_cycles: 0
% 150.23/150.44 % forced_gc_time: 0
% 150.23/150.44 % gc_basic_clause_elim: 0
% 150.23/150.44 % parsing_time: 0.003
% 150.23/150.44 % sem_filter_time: 0.
% 150.23/150.44 % pred_elim_time: 0.
% 150.23/150.44 % out_proof_time: 0.
% 150.23/150.44 % monotx_time: 0.
% 150.23/150.44 % subtype_inf_time: 0.
% 150.23/150.44 % unif_index_cands_time: 0.177
% 150.23/150.44 % unif_index_add_time: 0.083
% 150.23/150.44 % total_time: 150.017
% 150.23/150.44 % num_of_symbols: 56
% 150.23/150.44 % num_of_terms: 86421
% 150.23/150.44
% 150.23/150.44 % ------ Propositional Solver
% 150.23/150.44
% 150.23/150.44 % prop_solver_calls: 24
% 150.23/150.44 % prop_fast_solver_calls: 6
% 150.23/150.44 % prop_num_of_clauses: 13146
% 150.23/150.44 % prop_preprocess_simplified: 16361
% 150.23/150.44 % prop_fo_subsumed: 0
% 150.23/150.44 % prop_solver_time: 0.008
% 150.23/150.44 % prop_fast_solver_time: 0.
% 150.23/150.44 % prop_unsat_core_time: 0.
% 150.23/150.44
% 150.23/150.44 % ------ QBF
% 150.23/150.44
% 150.23/150.44 % qbf_q_res: 0
% 150.23/150.44 % qbf_num_tautologies: 0
% 150.23/150.44 % qbf_prep_cycles: 0
% 150.23/150.44
% 150.23/150.44 % ------ BMC1
% 150.23/150.44
% 150.23/150.44 % bmc1_current_bound: -1
% 150.23/150.44 % bmc1_last_solved_bound: -1
% 150.23/150.44 % bmc1_unsat_core_size: -1
% 150.23/150.44 % bmc1_unsat_core_parents_size: -1
% 150.23/150.44 % bmc1_merge_next_fun: 0
% 150.23/150.44 % bmc1_unsat_core_clauses_time: 0.
% 150.23/150.44
% 150.23/150.44 % ------ Instantiation
% 150.23/150.44
% 150.23/150.44 % inst_num_of_clauses: 3497
% 150.23/150.44 % inst_num_in_passive: 889
% 150.23/150.44 % inst_num_in_active: 2087
% 150.23/150.44 % inst_num_in_unprocessed: 465
% 150.23/150.45 % inst_num_of_loops: 2399
% 150.23/150.45 % inst_num_of_learning_restarts: 1
% 150.23/150.45 % inst_num_moves_active_passive: 279
% 150.23/150.45 % inst_lit_activity: 1210
% 150.23/150.45 % inst_lit_activity_moves: 0
% 150.23/150.45 % inst_num_tautologies: 29
% 150.23/150.45 % inst_num_prop_implied: 0
% 150.23/150.45 % inst_num_existing_simplified: 2
% 150.23/150.45 % inst_num_eq_res_simplified: 27
% 150.23/150.45 % inst_num_child_elim: 0
% 150.23/150.45 % inst_num_of_dismatching_blockings: 1505
% 150.23/150.45 % inst_num_of_non_proper_insts: 5734
% 150.23/150.45 % inst_num_of_duplicates: 1554
% 150.23/150.45 % inst_inst_num_from_inst_to_res: 0
% 150.23/150.45 % inst_dismatching_checking_time: 0.033
% 150.23/150.45
% 150.23/150.45 % ------ Resolution
% 150.23/150.45
% 150.23/150.45 % res_num_of_clauses: 470934
% 150.23/150.45 % res_num_in_passive: 458979
% 150.23/150.45 % res_num_in_active: 12240
% 150.23/150.45 % res_num_of_loops: 18980
% 150.23/150.45 % res_forward_subset_subsumed: 91228
% 150.23/150.45 % res_backward_subset_subsumed: 517
% 150.23/150.45 % res_forward_subsumed: 6049
% 150.23/150.45 % res_backward_subsumed: 446
% 150.23/150.45 % res_forward_subsumption_resolution: 1117
% 150.23/150.45 % res_backward_subsumption_resolution: 4
% 150.23/150.45 % res_clause_to_clause_subsumption: 5376754
% 150.23/150.45 % res_orphan_elimination: 0
% 150.23/150.45 % res_tautology_del: 10808
% 150.23/150.45 % res_num_eq_res_simplified: 0
% 150.23/150.45 % res_num_sel_changes: 0
% 150.23/150.45 % res_moves_from_active_to_pass: 0
% 150.23/150.45
% 150.23/150.45 % Status Unknown
% 150.29/150.48 % Orienting using strategy ClausalAll
% 150.29/150.48 % FOF problem with conjecture
% 150.29/150.48 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_fdef20.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_6133f6.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_32234f | grep -v "SZS"
% 150.29/150.50
% 150.29/150.50 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.29/150.50
% 150.29/150.50 %
% 150.29/150.50 % ------ iProver source info
% 150.29/150.50
% 150.29/150.50 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.29/150.50 % git: non_committed_changes: true
% 150.29/150.50 % git: last_make_outside_of_git: true
% 150.29/150.50
% 150.29/150.50 %
% 150.29/150.50 % ------ Input Options
% 150.29/150.50
% 150.29/150.50 % --out_options all
% 150.29/150.50 % --tptp_safe_out true
% 150.29/150.50 % --problem_path ""
% 150.29/150.50 % --include_path ""
% 150.29/150.50 % --clausifier .//eprover
% 150.29/150.50 % --clausifier_options --tstp-format
% 150.29/150.50 % --stdin false
% 150.29/150.50 % --dbg_backtrace false
% 150.29/150.50 % --dbg_dump_prop_clauses false
% 150.29/150.50 % --dbg_dump_prop_clauses_file -
% 150.29/150.50 % --dbg_out_stat false
% 150.29/150.50
% 150.29/150.50 % ------ General Options
% 150.29/150.50
% 150.29/150.50 % --fof false
% 150.29/150.50 % --time_out_real 150.
% 150.29/150.50 % --time_out_prep_mult 0.2
% 150.29/150.50 % --time_out_virtual -1.
% 150.29/150.50 % --schedule none
% 150.29/150.50 % --ground_splitting input
% 150.29/150.50 % --splitting_nvd 16
% 150.29/150.50 % --non_eq_to_eq false
% 150.29/150.50 % --prep_gs_sim true
% 150.29/150.50 % --prep_unflatten false
% 150.29/150.50 % --prep_res_sim true
% 150.29/150.50 % --prep_upred true
% 150.29/150.50 % --res_sim_input true
% 150.29/150.50 % --clause_weak_htbl true
% 150.29/150.50 % --gc_record_bc_elim false
% 150.29/150.50 % --symbol_type_check false
% 150.29/150.50 % --clausify_out false
% 150.29/150.50 % --large_theory_mode false
% 150.29/150.50 % --prep_sem_filter none
% 150.29/150.50 % --prep_sem_filter_out false
% 150.29/150.50 % --preprocessed_out false
% 150.29/150.50 % --sub_typing false
% 150.29/150.50 % --brand_transform false
% 150.29/150.50 % --pure_diseq_elim true
% 150.29/150.50 % --min_unsat_core false
% 150.29/150.50 % --pred_elim true
% 150.29/150.50 % --add_important_lit false
% 150.29/150.50 % --soft_assumptions false
% 150.29/150.50 % --reset_solvers false
% 150.29/150.50 % --bc_imp_inh []
% 150.29/150.50 % --conj_cone_tolerance 1.5
% 150.29/150.50 % --prolific_symb_bound 500
% 150.29/150.50 % --lt_threshold 2000
% 150.29/150.50
% 150.29/150.50 % ------ SAT Options
% 150.29/150.50
% 150.29/150.50 % --sat_mode false
% 150.29/150.50 % --sat_fm_restart_options ""
% 150.29/150.50 % --sat_gr_def false
% 150.29/150.50 % --sat_epr_types true
% 150.29/150.50 % --sat_non_cyclic_types false
% 150.29/150.50 % --sat_finite_models false
% 150.29/150.50 % --sat_fm_lemmas false
% 150.29/150.50 % --sat_fm_prep false
% 150.29/150.50 % --sat_fm_uc_incr true
% 150.29/150.50 % --sat_out_model small
% 150.29/150.50 % --sat_out_clauses false
% 150.29/150.50
% 150.29/150.50 % ------ QBF Options
% 150.29/150.50
% 150.29/150.50 % --qbf_mode false
% 150.29/150.50 % --qbf_elim_univ true
% 150.29/150.50 % --qbf_sk_in true
% 150.29/150.50 % --qbf_pred_elim true
% 150.29/150.50 % --qbf_split 32
% 150.29/150.50
% 150.29/150.50 % ------ BMC1 Options
% 150.29/150.50
% 150.29/150.50 % --bmc1_incremental false
% 150.29/150.50 % --bmc1_axioms reachable_all
% 150.29/150.50 % --bmc1_min_bound 0
% 150.29/150.50 % --bmc1_max_bound -1
% 150.29/150.50 % --bmc1_max_bound_default -1
% 150.29/150.50 % --bmc1_symbol_reachability true
% 150.29/150.50 % --bmc1_property_lemmas false
% 150.29/150.50 % --bmc1_k_induction false
% 150.29/150.50 % --bmc1_non_equiv_states false
% 150.29/150.50 % --bmc1_deadlock false
% 150.29/150.50 % --bmc1_ucm false
% 150.29/150.50 % --bmc1_add_unsat_core none
% 150.29/150.50 % --bmc1_unsat_core_children false
% 150.29/150.50 % --bmc1_unsat_core_extrapolate_axioms false
% 150.29/150.50 % --bmc1_out_stat full
% 150.29/150.50 % --bmc1_ground_init false
% 150.29/150.50 % --bmc1_pre_inst_next_state false
% 150.29/150.50 % --bmc1_pre_inst_state false
% 150.29/150.50 % --bmc1_pre_inst_reach_state false
% 150.29/150.50 % --bmc1_out_unsat_core false
% 150.29/150.50 % --bmc1_aig_witness_out false
% 150.29/150.50 % --bmc1_verbose false
% 150.29/150.50 % --bmc1_dump_clauses_tptp false
% 150.33/150.62 % --bmc1_dump_unsat_core_tptp false
% 150.33/150.62 % --bmc1_dump_file -
% 150.33/150.62 % --bmc1_ucm_expand_uc_limit 128
% 150.33/150.62 % --bmc1_ucm_n_expand_iterations 6
% 150.33/150.62 % --bmc1_ucm_extend_mode 1
% 150.33/150.62 % --bmc1_ucm_init_mode 2
% 150.33/150.62 % --bmc1_ucm_cone_mode none
% 150.33/150.62 % --bmc1_ucm_reduced_relation_type 0
% 150.33/150.62 % --bmc1_ucm_relax_model 4
% 150.33/150.62 % --bmc1_ucm_full_tr_after_sat true
% 150.33/150.62 % --bmc1_ucm_expand_neg_assumptions false
% 150.33/150.62 % --bmc1_ucm_layered_model none
% 150.33/150.62 % --bmc1_ucm_max_lemma_size 10
% 150.33/150.62
% 150.33/150.62 % ------ AIG Options
% 150.33/150.62
% 150.33/150.62 % --aig_mode false
% 150.33/150.62
% 150.33/150.62 % ------ Instantiation Options
% 150.33/150.62
% 150.33/150.62 % --instantiation_flag true
% 150.33/150.62 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.33/150.62 % --inst_solver_per_active 750
% 150.33/150.62 % --inst_solver_calls_frac 0.5
% 150.33/150.62 % --inst_passive_queue_type priority_queues
% 150.33/150.62 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.33/150.62 % --inst_passive_queues_freq [25;2]
% 150.33/150.62 % --inst_dismatching true
% 150.33/150.62 % --inst_eager_unprocessed_to_passive true
% 150.33/150.62 % --inst_prop_sim_given true
% 150.33/150.62 % --inst_prop_sim_new false
% 150.33/150.62 % --inst_orphan_elimination true
% 150.33/150.62 % --inst_learning_loop_flag true
% 150.33/150.62 % --inst_learning_start 3000
% 150.33/150.62 % --inst_learning_factor 2
% 150.33/150.62 % --inst_start_prop_sim_after_learn 3
% 150.33/150.62 % --inst_sel_renew solver
% 150.33/150.62 % --inst_lit_activity_flag true
% 150.33/150.62 % --inst_out_proof true
% 150.33/150.62
% 150.33/150.62 % ------ Resolution Options
% 150.33/150.62
% 150.33/150.62 % --resolution_flag true
% 150.33/150.62 % --res_lit_sel kbo_max
% 150.33/150.62 % --res_to_prop_solver none
% 150.33/150.62 % --res_prop_simpl_new false
% 150.33/150.62 % --res_prop_simpl_given false
% 150.33/150.62 % --res_passive_queue_type priority_queues
% 150.33/150.62 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.33/150.62 % --res_passive_queues_freq [15;5]
% 150.33/150.62 % --res_forward_subs full
% 150.33/150.62 % --res_backward_subs full
% 150.33/150.62 % --res_forward_subs_resolution true
% 150.33/150.62 % --res_backward_subs_resolution true
% 150.33/150.62 % --res_orphan_elimination false
% 150.33/150.62 % --res_time_limit 1000.
% 150.33/150.62 % --res_out_proof true
% 150.33/150.62 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_fdef20.s
% 150.33/150.62 % --modulo true
% 150.33/150.62
% 150.33/150.62 % ------ Combination Options
% 150.33/150.62
% 150.33/150.62 % --comb_res_mult 1000
% 150.33/150.62 % --comb_inst_mult 300
% 150.33/150.62 % ------
% 150.33/150.62
% 150.33/150.62 % ------ Parsing...% successful
% 150.33/150.62
% 150.33/150.62 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.33/150.62
% 150.33/150.62 % ------ Proving...
% 150.33/150.62 % ------ Problem Properties
% 150.33/150.62
% 150.33/150.62 %
% 150.33/150.62 % EPR false
% 150.33/150.62 % Horn false
% 150.33/150.62 % Has equality true
% 150.33/150.62
% 150.33/150.62 % % ------ Input Options Time Limit: Unbounded
% 150.33/150.62
% 150.33/150.62
% 150.33/150.62 Compiling...
% 150.33/150.62 Loading plugin: done.
% 150.33/150.62 % % ------ Current options:
% 150.33/150.62
% 150.33/150.62 % ------ Input Options
% 150.33/150.62
% 150.33/150.62 % --out_options all
% 150.33/150.62 % --tptp_safe_out true
% 150.33/150.62 % --problem_path ""
% 150.33/150.62 % --include_path ""
% 150.33/150.62 % --clausifier .//eprover
% 150.33/150.62 % --clausifier_options --tstp-format
% 150.33/150.62 % --stdin false
% 150.33/150.62 % --dbg_backtrace false
% 150.33/150.62 % --dbg_dump_prop_clauses false
% 150.33/150.62 % --dbg_dump_prop_clauses_file -
% 150.33/150.62 % --dbg_out_stat false
% 150.33/150.62
% 150.33/150.62 % ------ General Options
% 150.33/150.62
% 150.33/150.62 % --fof false
% 150.33/150.62 % --time_out_real 150.
% 150.33/150.62 % --time_out_prep_mult 0.2
% 150.33/150.62 % --time_out_virtual -1.
% 150.33/150.62 % --schedule none
% 150.33/150.62 % --ground_splitting input
% 150.33/150.62 % --splitting_nvd 16
% 150.33/150.62 % --non_eq_to_eq false
% 150.33/150.62 % --prep_gs_sim true
% 150.33/150.62 % --prep_unflatten false
% 150.33/150.62 % --prep_res_sim true
% 150.33/150.62 % --prep_upred true
% 150.33/150.62 % --res_sim_input true
% 150.33/150.62 % --clause_weak_htbl true
% 150.33/150.62 % --gc_record_bc_elim false
% 150.33/150.62 % --symbol_type_check false
% 150.33/150.62 % --clausify_out false
% 150.33/150.62 % --large_theory_mode false
% 150.33/150.62 % --prep_sem_filter none
% 150.33/150.62 % --prep_sem_filter_out false
% 150.33/150.62 % --preprocessed_out false
% 150.33/150.62 % --sub_typing false
% 150.33/150.62 % --brand_transform false
% 150.33/150.62 % --pure_diseq_elim true
% 150.33/150.62 % --min_unsat_core false
% 150.33/150.62 % --pred_elim true
% 150.33/150.62 % --add_important_lit false
% 150.33/150.62 % --soft_assumptions false
% 150.33/150.62 % --reset_solvers false
% 150.33/150.62 % --bc_imp_inh []
% 150.33/150.62 % --conj_cone_tolerance 1.5
% 150.33/150.62 % --prolific_symb_bound 500
% 150.33/150.62 % --lt_threshold 2000
% 150.33/150.62
% 150.33/150.62 % ------ SAT Options
% 150.33/150.62
% 150.33/150.62 % --sat_mode false
% 150.33/150.62 % --sat_fm_restart_options ""
% 150.33/150.62 % --sat_gr_def false
% 150.33/150.62 % --sat_epr_types true
% 150.33/150.62 % --sat_non_cyclic_types false
% 150.33/150.62 % --sat_finite_models false
% 150.33/150.62 % --sat_fm_lemmas false
% 150.33/150.62 % --sat_fm_prep false
% 150.33/150.62 % --sat_fm_uc_incr true
% 150.33/150.62 % --sat_out_model small
% 150.33/150.62 % --sat_out_clauses false
% 150.33/150.62
% 150.33/150.62 % ------ QBF Options
% 150.33/150.62
% 150.33/150.62 % --qbf_mode false
% 150.33/150.62 % --qbf_elim_univ true
% 150.33/150.62 % --qbf_sk_in true
% 150.33/150.62 % --qbf_pred_elim true
% 150.33/150.62 % --qbf_split 32
% 150.33/150.62
% 150.33/150.62 % ------ BMC1 Options
% 150.33/150.62
% 150.33/150.62 % --bmc1_incremental false
% 150.33/150.62 % --bmc1_axioms reachable_all
% 150.33/150.62 % --bmc1_min_bound 0
% 150.33/150.62 % --bmc1_max_bound -1
% 150.33/150.62 % --bmc1_max_bound_default -1
% 150.33/150.62 % --bmc1_symbol_reachability true
% 150.33/150.62 % --bmc1_property_lemmas false
% 150.33/150.62 % --bmc1_k_induction false
% 150.33/150.62 % --bmc1_non_equiv_states false
% 150.33/150.62 % --bmc1_deadlock false
% 150.33/150.62 % --bmc1_ucm false
% 150.33/150.62 % --bmc1_add_unsat_core none
% 150.33/150.62 % --bmc1_unsat_core_children false
% 150.33/150.62 % --bmc1_unsat_core_extrapolate_axioms false
% 150.33/150.62 % --bmc1_out_stat full
% 150.33/150.62 % --bmc1_ground_init false
% 150.33/150.62 % --bmc1_pre_inst_next_state false
% 150.33/150.62 % --bmc1_pre_inst_state false
% 150.33/150.62 % --bmc1_pre_inst_reach_state false
% 150.33/150.62 % --bmc1_out_unsat_core false
% 150.33/150.62 % --bmc1_aig_witness_out false
% 150.33/150.62 % --bmc1_verbose false
% 150.33/150.62 % --bmc1_dump_clauses_tptp false
% 150.33/150.62 % --bmc1_dump_unsat_core_tptp false
% 150.33/150.62 % --bmc1_dump_file -
% 150.33/150.62 % --bmc1_ucm_expand_uc_limit 128
% 150.33/150.62 % --bmc1_ucm_n_expand_iterations 6
% 150.33/150.62 % --bmc1_ucm_extend_mode 1
% 150.33/150.62 % --bmc1_ucm_init_mode 2
% 150.33/150.62 % --bmc1_ucm_cone_mode none
% 150.33/150.62 % --bmc1_ucm_reduced_relation_type 0
% 150.33/150.62 % --bmc1_ucm_relax_model 4
% 150.33/150.62 % --bmc1_ucm_full_tr_after_sat true
% 150.33/150.62 % --bmc1_ucm_expand_neg_assumptions false
% 150.33/150.62 % --bmc1_ucm_layered_model none
% 150.33/150.62 % --bmc1_ucm_max_lemma_size 10
% 150.33/150.62
% 150.33/150.62 % ------ AIG Options
% 150.33/150.62
% 150.33/150.62 % --aig_mode false
% 150.33/150.62
% 150.33/150.62 % ------ Instantiation Options
% 150.33/150.62
% 150.33/150.62 % --instantiation_flag true
% 150.33/150.62 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.33/150.62 % --inst_solver_per_active 750
% 150.33/150.62 % --inst_solver_calls_frac 0.5
% 150.33/150.62 % --inst_passive_queue_type priority_queues
% 150.33/150.62 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.33/150.62 % --inst_passive_queues_freq [25;2]
% 150.33/150.62 % --inst_dismatching true
% 150.33/150.62 % --inst_eager_unprocessed_to_passive true
% 214.29/214.47 % --inst_prop_sim_given true
% 214.29/214.47 % --inst_prop_sim_new false
% 214.29/214.47 % --inst_orphan_elimination true
% 214.29/214.47 % --inst_learning_loop_flag true
% 214.29/214.47 % --inst_learning_start 3000
% 214.29/214.47 % --inst_learning_factor 2
% 214.29/214.47 % --inst_start_prop_sim_after_learn 3
% 214.29/214.47 % --inst_sel_renew solver
% 214.29/214.47 % --inst_lit_activity_flag true
% 214.29/214.47 % --inst_out_proof true
% 214.29/214.47
% 214.29/214.47 % ------ Resolution Options
% 214.29/214.47
% 214.29/214.47 % --resolution_flag true
% 214.29/214.47 % --res_lit_sel kbo_max
% 214.29/214.47 % --res_to_prop_solver none
% 214.29/214.47 % --res_prop_simpl_new false
% 214.29/214.47 % --res_prop_simpl_given false
% 214.29/214.47 % --res_passive_queue_type priority_queues
% 214.29/214.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 214.29/214.47 % --res_passive_queues_freq [15;5]
% 214.29/214.47 % --res_forward_subs full
% 214.29/214.47 % --res_backward_subs full
% 214.29/214.47 % --res_forward_subs_resolution true
% 214.29/214.47 % --res_backward_subs_resolution true
% 214.29/214.47 % --res_orphan_elimination false
% 214.29/214.47 % --res_time_limit 1000.
% 214.29/214.47 % --res_out_proof true
% 214.29/214.47 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_fdef20.s
% 214.29/214.47 % --modulo true
% 214.29/214.47
% 214.29/214.47 % ------ Combination Options
% 214.29/214.47
% 214.29/214.47 % --comb_res_mult 1000
% 214.29/214.47 % --comb_inst_mult 300
% 214.29/214.47 % ------
% 214.29/214.47
% 214.29/214.47
% 214.29/214.47
% 214.29/214.47 % ------ Proving...
% 214.29/214.47 %
% 214.29/214.47
% 214.29/214.47
% 214.29/214.47 % ------ Statistics
% 214.29/214.47
% 214.29/214.47 % ------ General
% 214.29/214.47
% 214.29/214.47 % num_of_input_clauses: 148
% 214.29/214.47 % num_of_input_neg_conjectures: 2
% 214.29/214.47 % num_of_splits: 0
% 214.29/214.47 % num_of_split_atoms: 0
% 214.29/214.47 % num_of_sem_filtered_clauses: 0
% 214.29/214.47 % num_of_subtypes: 0
% 214.29/214.47 % monotx_restored_types: 0
% 214.29/214.47 % sat_num_of_epr_types: 0
% 214.29/214.47 % sat_num_of_non_cyclic_types: 0
% 214.29/214.47 % sat_guarded_non_collapsed_types: 0
% 214.29/214.47 % is_epr: 0
% 214.29/214.47 % is_horn: 0
% 214.29/214.47 % has_eq: 1
% 214.29/214.47 % num_pure_diseq_elim: 0
% 214.29/214.47 % simp_replaced_by: 0
% 214.29/214.47 % res_preprocessed: 4
% 214.29/214.47 % prep_upred: 0
% 214.29/214.47 % prep_unflattend: 0
% 214.29/214.47 % pred_elim_cands: 0
% 214.29/214.47 % pred_elim: 0
% 214.29/214.47 % pred_elim_cl: 0
% 214.29/214.47 % pred_elim_cycles: 0
% 214.29/214.47 % forced_gc_time: 0
% 214.29/214.47 % gc_basic_clause_elim: 0
% 214.29/214.47 % parsing_time: 0.006
% 214.29/214.47 % sem_filter_time: 0.
% 214.29/214.47 % pred_elim_time: 0.
% 214.29/214.47 % out_proof_time: 0.002
% 214.29/214.47 % monotx_time: 0.
% 214.29/214.47 % subtype_inf_time: 0.
% 214.29/214.47 % unif_index_cands_time: 0.124
% 214.29/214.47 % unif_index_add_time: 0.036
% 214.29/214.47 % total_time: 63.986
% 214.29/214.47 % num_of_symbols: 56
% 214.29/214.47 % num_of_terms: 135414
% 214.29/214.47
% 214.29/214.47 % ------ Propositional Solver
% 214.29/214.47
% 214.29/214.47 % prop_solver_calls: 14
% 214.29/214.47 % prop_fast_solver_calls: 6
% 214.29/214.47 % prop_num_of_clauses: 6069
% 214.29/214.47 % prop_preprocess_simplified: 7313
% 214.29/214.47 % prop_fo_subsumed: 0
% 214.29/214.47 % prop_solver_time: 0.002
% 214.29/214.47 % prop_fast_solver_time: 0.
% 214.29/214.47 % prop_unsat_core_time: 0.
% 214.29/214.47
% 214.29/214.47 % ------ QBF
% 214.29/214.47
% 214.29/214.47 % qbf_q_res: 0
% 214.29/214.47 % qbf_num_tautologies: 0
% 214.29/214.47 % qbf_prep_cycles: 0
% 214.29/214.47
% 214.29/214.47 % ------ BMC1
% 214.29/214.47
% 214.29/214.47 % bmc1_current_bound: -1
% 214.29/214.47 % bmc1_last_solved_bound: -1
% 214.29/214.47 % bmc1_unsat_core_size: -1
% 214.29/214.47 % bmc1_unsat_core_parents_size: -1
% 214.29/214.47 % bmc1_merge_next_fun: 0
% 214.29/214.47 % bmc1_unsat_core_clauses_time: 0.
% 214.29/214.47
% 214.29/214.47 % ------ Instantiation
% 214.29/214.47
% 214.29/214.47 % inst_num_of_clauses: 3622
% 214.29/214.47 % inst_num_in_passive: 1886
% 214.29/214.47 % inst_num_in_active: 1710
% 214.29/214.47 % inst_num_in_unprocessed: 0
% 214.29/214.48 % inst_num_of_loops: 2097
% 214.29/214.48 % inst_num_of_learning_restarts: 0
% 214.29/214.48 % inst_num_moves_active_passive: 370
% 214.29/214.48 % inst_lit_activity: 1143
% 214.29/214.48 % inst_lit_activity_moves: 0
% 214.29/214.48 % inst_num_tautologies: 11
% 214.29/214.48 % inst_num_prop_implied: 0
% 214.29/214.48 % inst_num_existing_simplified: 2
% 214.29/214.48 % inst_num_eq_res_simplified: 14
% 214.29/214.48 % inst_num_child_elim: 0
% 214.29/214.48 % inst_num_of_dismatching_blockings: 2298
% 214.29/214.48 % inst_num_of_non_proper_insts: 6873
% 214.29/214.48 % inst_num_of_duplicates: 5817
% 214.29/214.48 % inst_inst_num_from_inst_to_res: 0
% 214.29/214.48 % inst_dismatching_checking_time: 0.018
% 214.29/214.48
% 214.29/214.48 % ------ Resolution
% 214.29/214.48
% 214.29/214.48 % res_num_of_clauses: 140857
% 214.29/214.48 % res_num_in_passive: 135561
% 214.29/214.48 % res_num_in_active: 5166
% 214.29/214.48 % res_num_of_loops: 7000
% 214.29/214.48 % res_forward_subset_subsumed: 8816
% 214.29/214.48 % res_backward_subset_subsumed: 0
% 214.29/214.48 % res_forward_subsumed: 1408
% 214.29/214.48 % res_backward_subsumed: 3
% 214.29/214.48 % res_forward_subsumption_resolution: 2301
% 214.29/214.48 % res_backward_subsumption_resolution: 0
% 214.29/214.48 % res_clause_to_clause_subsumption: 2194974
% 214.29/214.48 % res_orphan_elimination: 0
% 214.29/214.48 % res_tautology_del: 424
% 214.29/214.48 % res_num_eq_res_simplified: 0
% 214.29/214.48 % res_num_sel_changes: 0
% 214.29/214.48 % res_moves_from_active_to_pass: 0
% 214.29/214.48
% 214.29/214.48 % Status Unsatisfiable
% 214.29/214.48 % SZS status Theorem
% 214.29/214.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------