TSTP Solution File: LCL648+1.005 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL648+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 : 300s
% DateTime : Wed May 1 03:14:48 EDT 2024
% Result : Theorem 0.77s 0.81s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 207
% Syntax : Number of formulae : 1217 ( 3 unt; 0 def)
% Number of atoms : 5877 ( 0 equ)
% Maximal formula atoms : 242 ( 4 avg)
% Number of connectives : 8193 (3533 ~;3351 |;1144 &)
% ( 113 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 186 ( 185 usr; 114 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 2 con; 0-1 aty)
% Number of variables : 1129 ( 815 !; 314 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1836,plain,
$false,
inference(avatar_sat_refutation,[],[f423,f441,f460,f480,f501,f522,f533,f551,f554,f570,f583,f601,f604,f618,f620,f622,f624,f626,f629,f635,f637,f639,f641,f658,f668,f685,f694,f696,f709,f718,f727,f732,f735,f752,f761,f766,f775,f780,f789,f794,f797,f800,f801,f812,f827,f830,f833,f836,f839,f842,f845,f858,f873,f882,f891,f896,f899,f912,f921,f924,f927,f930,f942,f945,f948,f953,f964,f973,f978,f988,f991,f994,f996,f1000,f1012,f1027,f1033,f1046,f1049,f1058,f1067,f1069,f1075,f1093,f1101,f1103,f1110,f1130,f1137,f1142,f1145,f1149,f1172,f1179,f1184,f1187,f1191,f1205,f1214,f1217,f1235,f1236,f1252,f1259,f1260,f1265,f1275,f1282,f1284,f1300,f1308,f1318,f1321,f1324,f1335,f1338,f1344,f1355,f1363,f1365,f1367,f1375,f1387,f1400,f1408,f1417,f1438,f1445,f1446,f1449,f1458,f1460,f1483,f1493,f1501,f1522,f1535,f1547,f1566,f1581,f1584,f1595,f1607,f1619,f1627,f1656,f1663,f1664,f1669,f1692,f1695,f1701,f1710,f1712,f1727,f1729,f1737,f1748,f1768,f1785,f1791,f1794,f1803,f1827,f1835]) ).
fof(f1835,plain,
( ~ spl93_5
| ~ spl93_10
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1834,plain,
( $false
| ~ spl93_5
| ~ spl93_10
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1833,f531]) ).
fof(f531,plain,
( sP40(sK92)
| ~ spl93_31 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl93_31
<=> sP40(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_31])]) ).
fof(f1833,plain,
( ~ sP40(sK92)
| ~ spl93_5
| ~ spl93_10 ),
inference(subsumption_resolution,[],[f1828,f440]) ).
fof(f440,plain,
( p201(sK92)
| ~ spl93_10 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl93_10
<=> p201(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_10])]) ).
fof(f1828,plain,
( ~ p201(sK92)
| ~ sP40(sK92)
| ~ spl93_5 ),
inference(resolution,[],[f422,f298]) ).
fof(f298,plain,
! [X0] :
( ~ p101(X0)
| ~ p201(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( ( ~ p101(X0)
| ~ p201(X0) )
& ( ~ p101(X0)
| ~ p301(X0) )
& ( ~ p101(X0)
| ~ p401(X0) )
& ( ~ p101(X0)
| ~ p501(X0) )
& ( ~ p101(X0)
| ~ p601(X0) )
& ( ~ p201(X0)
| ~ p301(X0) )
& ( ~ p201(X0)
| ~ p401(X0) )
& ( ~ p201(X0)
| ~ p501(X0) )
& ( ~ p201(X0)
| ~ p601(X0) )
& ( ~ p301(X0)
| ~ p401(X0) )
& ( ~ p301(X0)
| ~ p501(X0) )
& ( ~ p301(X0)
| ~ p601(X0) )
& ( ~ p401(X0)
| ~ p501(X0) )
& ( ~ p401(X0)
| ~ p601(X0) )
& ( ~ p501(X0)
| ~ p601(X0) )
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP35(X0)
& ( ~ p202(X0)
| ~ p302(X0) )
& ( ~ p202(X0)
| ~ p402(X0) )
& ( ~ p202(X0)
| ~ p502(X0) )
& ( ~ p202(X0)
| ~ p602(X0) )
& ( ~ p302(X0)
| ~ p402(X0) )
& ( ~ p302(X0)
| ~ p502(X0) )
& ( ~ p302(X0)
| ~ p602(X0) )
& ( ~ p402(X0)
| ~ p502(X0) )
& ( ~ p402(X0)
| ~ p602(X0) )
& ( ~ p502(X0)
| ~ p602(X0) )
& sP9(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& sP31(X0)
& sP30(X0)
& sP29(X0)
& sP28(X0)
& sP27(X0)
& ( ~ p303(X0)
| ~ p403(X0) )
& ( ~ p303(X0)
| ~ p503(X0) )
& ( ~ p303(X0)
| ~ p603(X0) )
& ( ~ p403(X0)
| ~ p503(X0) )
& ( ~ p403(X0)
| ~ p603(X0) )
& ( ~ p503(X0)
| ~ p603(X0) )
& sP8(X0)
& sP7(X0)
& sP26(X0)
& sP25(X0)
& sP24(X0)
& sP6(X0)
& sP23(X0)
& sP22(X0)
& sP21(X0)
& sP20(X0)
& sP19(X0)
& sP18(X0)
& ( ~ p404(X0)
| ~ p504(X0) )
& ( ~ p404(X0)
| ~ p604(X0) )
& ( ~ p504(X0)
| ~ p604(X0) )
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP17(X0)
& sP16(X0)
& sP2(X0)
& sP1(X0)
& sP15(X0)
& sP14(X0)
& sP0(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& ( ~ p505(X0)
| ~ p605(X0) ) )
| ~ sP40(X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X12] :
( ( ( ~ p101(X12)
| ~ p201(X12) )
& ( ~ p101(X12)
| ~ p301(X12) )
& ( ~ p101(X12)
| ~ p401(X12) )
& ( ~ p101(X12)
| ~ p501(X12) )
& ( ~ p101(X12)
| ~ p601(X12) )
& ( ~ p201(X12)
| ~ p301(X12) )
& ( ~ p201(X12)
| ~ p401(X12) )
& ( ~ p201(X12)
| ~ p501(X12) )
& ( ~ p201(X12)
| ~ p601(X12) )
& ( ~ p301(X12)
| ~ p401(X12) )
& ( ~ p301(X12)
| ~ p501(X12) )
& ( ~ p301(X12)
| ~ p601(X12) )
& ( ~ p401(X12)
| ~ p501(X12) )
& ( ~ p401(X12)
| ~ p601(X12) )
& ( ~ p501(X12)
| ~ p601(X12) )
& sP39(X12)
& sP38(X12)
& sP37(X12)
& sP36(X12)
& sP35(X12)
& ( ~ p202(X12)
| ~ p302(X12) )
& ( ~ p202(X12)
| ~ p402(X12) )
& ( ~ p202(X12)
| ~ p502(X12) )
& ( ~ p202(X12)
| ~ p602(X12) )
& ( ~ p302(X12)
| ~ p402(X12) )
& ( ~ p302(X12)
| ~ p502(X12) )
& ( ~ p302(X12)
| ~ p602(X12) )
& ( ~ p402(X12)
| ~ p502(X12) )
& ( ~ p402(X12)
| ~ p602(X12) )
& ( ~ p502(X12)
| ~ p602(X12) )
& sP9(X12)
& sP34(X12)
& sP33(X12)
& sP32(X12)
& sP31(X12)
& sP30(X12)
& sP29(X12)
& sP28(X12)
& sP27(X12)
& ( ~ p303(X12)
| ~ p403(X12) )
& ( ~ p303(X12)
| ~ p503(X12) )
& ( ~ p303(X12)
| ~ p603(X12) )
& ( ~ p403(X12)
| ~ p503(X12) )
& ( ~ p403(X12)
| ~ p603(X12) )
& ( ~ p503(X12)
| ~ p603(X12) )
& sP8(X12)
& sP7(X12)
& sP26(X12)
& sP25(X12)
& sP24(X12)
& sP6(X12)
& sP23(X12)
& sP22(X12)
& sP21(X12)
& sP20(X12)
& sP19(X12)
& sP18(X12)
& ( ~ p404(X12)
| ~ p504(X12) )
& ( ~ p404(X12)
| ~ p604(X12) )
& ( ~ p504(X12)
| ~ p604(X12) )
& sP5(X12)
& sP4(X12)
& sP3(X12)
& sP17(X12)
& sP16(X12)
& sP2(X12)
& sP1(X12)
& sP15(X12)
& sP14(X12)
& sP0(X12)
& sP13(X12)
& sP12(X12)
& sP11(X12)
& sP10(X12)
& ( ~ p505(X12)
| ~ p605(X12) ) )
| ~ sP40(X12) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X12] :
( ( ( ~ p101(X12)
| ~ p201(X12) )
& ( ~ p101(X12)
| ~ p301(X12) )
& ( ~ p101(X12)
| ~ p401(X12) )
& ( ~ p101(X12)
| ~ p501(X12) )
& ( ~ p101(X12)
| ~ p601(X12) )
& ( ~ p201(X12)
| ~ p301(X12) )
& ( ~ p201(X12)
| ~ p401(X12) )
& ( ~ p201(X12)
| ~ p501(X12) )
& ( ~ p201(X12)
| ~ p601(X12) )
& ( ~ p301(X12)
| ~ p401(X12) )
& ( ~ p301(X12)
| ~ p501(X12) )
& ( ~ p301(X12)
| ~ p601(X12) )
& ( ~ p401(X12)
| ~ p501(X12) )
& ( ~ p401(X12)
| ~ p601(X12) )
& ( ~ p501(X12)
| ~ p601(X12) )
& sP39(X12)
& sP38(X12)
& sP37(X12)
& sP36(X12)
& sP35(X12)
& ( ~ p202(X12)
| ~ p302(X12) )
& ( ~ p202(X12)
| ~ p402(X12) )
& ( ~ p202(X12)
| ~ p502(X12) )
& ( ~ p202(X12)
| ~ p602(X12) )
& ( ~ p302(X12)
| ~ p402(X12) )
& ( ~ p302(X12)
| ~ p502(X12) )
& ( ~ p302(X12)
| ~ p602(X12) )
& ( ~ p402(X12)
| ~ p502(X12) )
& ( ~ p402(X12)
| ~ p602(X12) )
& ( ~ p502(X12)
| ~ p602(X12) )
& sP9(X12)
& sP34(X12)
& sP33(X12)
& sP32(X12)
& sP31(X12)
& sP30(X12)
& sP29(X12)
& sP28(X12)
& sP27(X12)
& ( ~ p303(X12)
| ~ p403(X12) )
& ( ~ p303(X12)
| ~ p503(X12) )
& ( ~ p303(X12)
| ~ p603(X12) )
& ( ~ p403(X12)
| ~ p503(X12) )
& ( ~ p403(X12)
| ~ p603(X12) )
& ( ~ p503(X12)
| ~ p603(X12) )
& sP8(X12)
& sP7(X12)
& sP26(X12)
& sP25(X12)
& sP24(X12)
& sP6(X12)
& sP23(X12)
& sP22(X12)
& sP21(X12)
& sP20(X12)
& sP19(X12)
& sP18(X12)
& ( ~ p404(X12)
| ~ p504(X12) )
& ( ~ p404(X12)
| ~ p604(X12) )
& ( ~ p504(X12)
| ~ p604(X12) )
& sP5(X12)
& sP4(X12)
& sP3(X12)
& sP17(X12)
& sP16(X12)
& sP2(X12)
& sP1(X12)
& sP15(X12)
& sP14(X12)
& sP0(X12)
& sP13(X12)
& sP12(X12)
& sP11(X12)
& sP10(X12)
& ( ~ p505(X12)
| ~ p605(X12) ) )
| ~ sP40(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f422,plain,
( p101(sK92)
| ~ spl93_5 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f420,plain,
( spl93_5
<=> p101(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_5])]) ).
fof(f1827,plain,
( ~ spl93_7
| ~ spl93_27
| ~ spl93_46
| ~ spl93_47 ),
inference(avatar_contradiction_clause,[],[f1826]) ).
fof(f1826,plain,
( $false
| ~ spl93_7
| ~ spl93_27
| ~ spl93_46
| ~ spl93_47 ),
inference(subsumption_resolution,[],[f1825,f712]) ).
fof(f712,plain,
( sP21(sK92)
| ~ spl93_46 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f711,plain,
( spl93_46
<=> sP21(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_46])]) ).
fof(f1825,plain,
( ~ sP21(sK92)
| ~ spl93_7
| ~ spl93_27
| ~ spl93_47 ),
inference(subsumption_resolution,[],[f1824,f509]) ).
fof(f509,plain,
( p604(sK92)
| ~ spl93_27 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl93_27
<=> p604(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_27])]) ).
fof(f1824,plain,
( ~ p604(sK92)
| ~ sP21(sK92)
| ~ spl93_7
| ~ spl93_47 ),
inference(resolution,[],[f1819,f717]) ).
fof(f717,plain,
( r1(sK92,sK59(sK92))
| ~ spl93_47 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f715,plain,
( spl93_47
<=> r1(sK92,sK59(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_47])]) ).
fof(f1819,plain,
( ! [X0] :
( ~ r1(sK92,sK59(X0))
| ~ p604(X0)
| ~ sP21(X0) )
| ~ spl93_7 ),
inference(resolution,[],[f429,f336]) ).
fof(f336,plain,
! [X0] :
( ~ p204(sK59(X0))
| ~ p604(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( ~ p204(sK59(X0))
& r1(X0,sK59(X0)) )
| ~ p604(X0)
| ~ sP21(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f124,f125]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK59(X0))
& r1(X0,sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ p604(X0)
| ~ sP21(X0) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X12] :
( ? [X39] :
( ~ p204(X39)
& r1(X12,X39) )
| ~ p604(X12)
| ~ sP21(X12) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X12] :
( ? [X39] :
( ~ p204(X39)
& r1(X12,X39) )
| ~ p604(X12)
| ~ sP21(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f429,plain,
( ! [X7] :
( p204(X7)
| ~ r1(sK92,X7) )
| ~ spl93_7 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl93_7
<=> ! [X7] :
( p204(X7)
| ~ r1(sK92,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_7])]) ).
fof(f1803,plain,
( ~ spl93_16
| ~ spl93_36
| ~ spl93_38
| spl93_114 ),
inference(avatar_contradiction_clause,[],[f1802]) ).
fof(f1802,plain,
( $false
| ~ spl93_16
| ~ spl93_36
| ~ spl93_38
| spl93_114 ),
inference(subsumption_resolution,[],[f1801,f654]) ).
fof(f654,plain,
( sP0(sK92)
| ~ spl93_38 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl93_38
<=> sP0(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_38])]) ).
fof(f1801,plain,
( ~ sP0(sK92)
| ~ spl93_16
| ~ spl93_36
| spl93_114 ),
inference(subsumption_resolution,[],[f1800,f646]) ).
fof(f646,plain,
( p305(sK89(sK92))
| ~ spl93_36 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl93_36
<=> p305(sK89(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_36])]) ).
fof(f1800,plain,
( ~ p305(sK89(sK92))
| ~ sP0(sK92)
| ~ spl93_16
| spl93_114 ),
inference(resolution,[],[f1798,f397]) ).
fof(f397,plain,
! [X0] :
( r1(X0,sK90(X0))
| ~ p305(sK89(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ( ~ p305(sK89(X0))
& r1(X0,sK89(X0)) )
| ( ~ p405(sK90(X0))
& r1(X0,sK90(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89,sK90])],[f217,f219,f218]) ).
fof(f218,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK89(X0))
& r1(X0,sK89(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0] :
( ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
=> ( ~ p405(sK90(X0))
& r1(X0,sK90(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
| ~ sP0(X0) ),
inference(rectify,[],[f216]) ).
fof(f216,plain,
! [X12] :
( ? [X57] :
( ~ p305(X57)
& r1(X12,X57) )
| ? [X58] :
( ~ p405(X58)
& r1(X12,X58) )
| ~ sP0(X12) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X12] :
( ? [X57] :
( ~ p305(X57)
& r1(X12,X57) )
| ? [X58] :
( ~ p405(X58)
& r1(X12,X58) )
| ~ sP0(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1798,plain,
( ~ r1(sK92,sK90(sK92))
| ~ spl93_16
| spl93_114 ),
inference(resolution,[],[f1790,f463]) ).
fof(f463,plain,
( ! [X11] :
( p405(X11)
| ~ r1(sK92,X11) )
| ~ spl93_16 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl93_16
<=> ! [X11] :
( p405(X11)
| ~ r1(sK92,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_16])]) ).
fof(f1790,plain,
( ~ p405(sK90(sK92))
| spl93_114 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1788,plain,
( spl93_114
<=> p405(sK90(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_114])]) ).
fof(f1794,plain,
( ~ spl93_31
| spl93_38 ),
inference(avatar_contradiction_clause,[],[f1793]) ).
fof(f1793,plain,
( $false
| ~ spl93_31
| spl93_38 ),
inference(subsumption_resolution,[],[f1792,f531]) ).
fof(f1792,plain,
( ~ sP40(sK92)
| spl93_38 ),
inference(resolution,[],[f655,f229]) ).
fof(f229,plain,
! [X0] :
( sP0(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f655,plain,
( ~ sP0(sK92)
| spl93_38 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f1791,plain,
( ~ spl93_38
| ~ spl93_114
| ~ spl93_36 ),
inference(avatar_split_clause,[],[f1786,f645,f1788,f653]) ).
fof(f1786,plain,
( ~ p405(sK90(sK92))
| ~ sP0(sK92)
| ~ spl93_36 ),
inference(resolution,[],[f646,f398]) ).
fof(f398,plain,
! [X0] :
( ~ p305(sK89(X0))
| ~ p405(sK90(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1785,plain,
( spl93_37
| ~ spl93_16
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1784,f530,f462,f649]) ).
fof(f649,plain,
( spl93_37
<=> r1(sK92,sK89(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_37])]) ).
fof(f1784,plain,
( r1(sK92,sK89(sK92))
| ~ spl93_16
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1778,f531]) ).
fof(f1778,plain,
( r1(sK92,sK89(sK92))
| ~ sP40(sK92)
| ~ spl93_16 ),
inference(duplicate_literal_removal,[],[f1776]) ).
fof(f1776,plain,
( r1(sK92,sK89(sK92))
| ~ sP40(sK92)
| r1(sK92,sK89(sK92))
| ~ sP40(sK92)
| ~ spl93_16 ),
inference(resolution,[],[f1775,f661]) ).
fof(f661,plain,
! [X0] :
( r1(X0,sK90(X0))
| r1(X0,sK89(X0))
| ~ sP40(X0) ),
inference(resolution,[],[f395,f229]) ).
fof(f395,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK90(X0))
| r1(X0,sK89(X0)) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1775,plain,
( ! [X0] :
( ~ r1(sK92,sK90(X0))
| r1(X0,sK89(X0))
| ~ sP40(X0) )
| ~ spl93_16 ),
inference(resolution,[],[f1774,f229]) ).
fof(f1774,plain,
( ! [X0] :
( ~ sP0(X0)
| r1(X0,sK89(X0))
| ~ r1(sK92,sK90(X0)) )
| ~ spl93_16 ),
inference(resolution,[],[f463,f396]) ).
fof(f396,plain,
! [X0] :
( ~ p405(sK90(X0))
| r1(X0,sK89(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1768,plain,
( ~ spl93_4
| ~ spl93_9
| ~ spl93_34
| ~ spl93_35 ),
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1767,plain,
( $false
| ~ spl93_4
| ~ spl93_9
| ~ spl93_34
| ~ spl93_35 ),
inference(subsumption_resolution,[],[f1766,f612]) ).
fof(f612,plain,
( sP39(sK92)
| ~ spl93_34 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl93_34
<=> sP39(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_34])]) ).
fof(f1766,plain,
( ~ sP39(sK92)
| ~ spl93_4
| ~ spl93_9
| ~ spl93_35 ),
inference(subsumption_resolution,[],[f1765,f436]) ).
fof(f436,plain,
( p202(sK92)
| ~ spl93_9 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl93_9
<=> p202(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_9])]) ).
fof(f1765,plain,
( ~ p202(sK92)
| ~ sP39(sK92)
| ~ spl93_4
| ~ spl93_35 ),
inference(resolution,[],[f1755,f617]) ).
fof(f617,plain,
( r1(sK92,sK41(sK92))
| ~ spl93_35 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f615,plain,
( spl93_35
<=> r1(sK92,sK41(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_35])]) ).
fof(f1755,plain,
( ! [X0] :
( ~ r1(sK92,sK41(X0))
| ~ p202(X0)
| ~ sP39(X0) )
| ~ spl93_4 ),
inference(resolution,[],[f418,f300]) ).
fof(f300,plain,
! [X0] :
( ~ p102(sK41(X0))
| ~ p202(X0)
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( ~ p102(sK41(X0))
& r1(X0,sK41(X0)) )
| ~ p202(X0)
| ~ sP39(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f52,f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK41(X0))
& r1(X0,sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p202(X0)
| ~ sP39(X0) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X12] :
( ? [X13] :
( ~ p102(X13)
& r1(X12,X13) )
| ~ p202(X12)
| ~ sP39(X12) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X12] :
( ? [X13] :
( ~ p102(X13)
& r1(X12,X13) )
| ~ p202(X12)
| ~ sP39(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f418,plain,
( ! [X2] :
( p102(X2)
| ~ r1(sK92,X2) )
| ~ spl93_4 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f417,plain,
( spl93_4
<=> ! [X2] :
( p102(X2)
| ~ r1(sK92,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_4])]) ).
fof(f1748,plain,
( ~ spl93_7
| ~ spl93_17
| ~ spl93_66
| ~ spl93_67 ),
inference(avatar_contradiction_clause,[],[f1747]) ).
fof(f1747,plain,
( $false
| ~ spl93_7
| ~ spl93_17
| ~ spl93_66
| ~ spl93_67 ),
inference(subsumption_resolution,[],[f1746,f876]) ).
fof(f876,plain,
( sP23(sK92)
| ~ spl93_66 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f875,plain,
( spl93_66
<=> sP23(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_66])]) ).
fof(f1746,plain,
( ~ sP23(sK92)
| ~ spl93_7
| ~ spl93_17
| ~ spl93_67 ),
inference(subsumption_resolution,[],[f1745,f467]) ).
fof(f467,plain,
( p404(sK92)
| ~ spl93_17 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl93_17
<=> p404(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_17])]) ).
fof(f1745,plain,
( ~ p404(sK92)
| ~ sP23(sK92)
| ~ spl93_7
| ~ spl93_67 ),
inference(resolution,[],[f1738,f881]) ).
fof(f881,plain,
( r1(sK92,sK57(sK92))
| ~ spl93_67 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl93_67
<=> r1(sK92,sK57(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_67])]) ).
fof(f1738,plain,
( ! [X0] :
( ~ r1(sK92,sK57(X0))
| ~ p404(X0)
| ~ sP23(X0) )
| ~ spl93_7 ),
inference(resolution,[],[f429,f332]) ).
fof(f332,plain,
! [X0] :
( ~ p204(sK57(X0))
| ~ p404(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( ~ p204(sK57(X0))
& r1(X0,sK57(X0)) )
| ~ p404(X0)
| ~ sP23(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f116,f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK57(X0))
& r1(X0,sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ p404(X0)
| ~ sP23(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X12] :
( ? [X37] :
( ~ p204(X37)
& r1(X12,X37) )
| ~ p404(X12)
| ~ sP23(X12) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X12] :
( ? [X37] :
( ~ p204(X37)
& r1(X12,X37) )
| ~ p404(X12)
| ~ sP23(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1737,plain,
( ~ spl93_8
| ~ spl93_28
| ~ spl93_77
| ~ spl93_78 ),
inference(avatar_contradiction_clause,[],[f1736]) ).
fof(f1736,plain,
( $false
| ~ spl93_8
| ~ spl93_28
| ~ spl93_77
| ~ spl93_78 ),
inference(subsumption_resolution,[],[f1735,f958]) ).
fof(f958,plain,
( sP27(sK92)
| ~ spl93_77 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f957,plain,
( spl93_77
<=> sP27(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_77])]) ).
fof(f1735,plain,
( ~ sP27(sK92)
| ~ spl93_8
| ~ spl93_28
| ~ spl93_78 ),
inference(subsumption_resolution,[],[f1732,f963]) ).
fof(f963,plain,
( r1(sK92,sK53(sK92))
| ~ spl93_78 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f961,plain,
( spl93_78
<=> r1(sK92,sK53(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_78])]) ).
fof(f1732,plain,
( ~ r1(sK92,sK53(sK92))
| ~ sP27(sK92)
| ~ spl93_8
| ~ spl93_28 ),
inference(resolution,[],[f513,f1641]) ).
fof(f1641,plain,
( ! [X0] :
( ~ p603(X0)
| ~ r1(sK92,sK53(X0))
| ~ sP27(X0) )
| ~ spl93_8 ),
inference(resolution,[],[f432,f324]) ).
fof(f324,plain,
! [X0] :
( ~ p203(sK53(X0))
| ~ p603(X0)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( ~ p203(sK53(X0))
& r1(X0,sK53(X0)) )
| ~ p603(X0)
| ~ sP27(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f100,f101]) ).
fof(f101,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK53(X0))
& r1(X0,sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p603(X0)
| ~ sP27(X0) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X12] :
( ? [X27] :
( ~ p203(X27)
& r1(X12,X27) )
| ~ p603(X12)
| ~ sP27(X12) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X12] :
( ? [X27] :
( ~ p203(X27)
& r1(X12,X27) )
| ~ p603(X12)
| ~ sP27(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f432,plain,
( ! [X6] :
( p203(X6)
| ~ r1(sK92,X6) )
| ~ spl93_8 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl93_8
<=> ! [X6] :
( p203(X6)
| ~ r1(sK92,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_8])]) ).
fof(f513,plain,
( p603(sK92)
| ~ spl93_28 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl93_28
<=> p603(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_28])]) ).
fof(f1729,plain,
( ~ spl93_27
| ~ spl93_17
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1728,f530,f465,f507]) ).
fof(f1728,plain,
( ~ p604(sK92)
| ~ spl93_17
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1670,f531]) ).
fof(f1670,plain,
( ~ p604(sK92)
| ~ sP40(sK92)
| ~ spl93_17 ),
inference(resolution,[],[f467,f240]) ).
fof(f240,plain,
! [X0] :
( ~ p404(X0)
| ~ p604(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1727,plain,
( ~ spl93_1
| ~ spl93_21
| ~ spl93_51
| ~ spl93_52 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1726,plain,
( $false
| ~ spl93_1
| ~ spl93_21
| ~ spl93_51
| ~ spl93_52 ),
inference(subsumption_resolution,[],[f1725,f746]) ).
fof(f746,plain,
( sP17(sK92)
| ~ spl93_51 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f745,plain,
( spl93_51
<=> sP17(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_51])]) ).
fof(f1725,plain,
( ~ sP17(sK92)
| ~ spl93_1
| ~ spl93_21
| ~ spl93_52 ),
inference(subsumption_resolution,[],[f1724,f751]) ).
fof(f751,plain,
( r1(sK92,sK63(sK92))
| ~ spl93_52 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl93_52
<=> r1(sK92,sK63(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_52])]) ).
fof(f1724,plain,
( ~ r1(sK92,sK63(sK92))
| ~ sP17(sK92)
| ~ spl93_1
| ~ spl93_21 ),
inference(resolution,[],[f484,f1630]) ).
fof(f1630,plain,
( ! [X0] :
( ~ p505(X0)
| ~ r1(sK92,sK63(X0))
| ~ sP17(X0) )
| ~ spl93_1 ),
inference(resolution,[],[f409,f344]) ).
fof(f344,plain,
! [X0] :
( ~ p105(sK63(X0))
| ~ p505(X0)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( ~ p105(sK63(X0))
& r1(X0,sK63(X0)) )
| ~ p505(X0)
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f140,f141]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK63(X0))
& r1(X0,sK63(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP17(X0) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X12] :
( ? [X49] :
( ~ p105(X49)
& r1(X12,X49) )
| ~ p505(X12)
| ~ sP17(X12) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X12] :
( ? [X49] :
( ~ p105(X49)
& r1(X12,X49) )
| ~ p505(X12)
| ~ sP17(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f409,plain,
( ! [X5] :
( p105(X5)
| ~ r1(sK92,X5) )
| ~ spl93_1 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl93_1
<=> ! [X5] :
( p105(X5)
| ~ r1(sK92,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_1])]) ).
fof(f484,plain,
( p505(sK92)
| ~ spl93_21 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl93_21
<=> p505(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_21])]) ).
fof(f1712,plain,
( ~ spl93_22
| ~ spl93_17
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1711,f530,f465,f486]) ).
fof(f486,plain,
( spl93_22
<=> p504(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_22])]) ).
fof(f1711,plain,
( ~ p504(sK92)
| ~ spl93_17
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1671,f531]) ).
fof(f1671,plain,
( ~ p504(sK92)
| ~ sP40(sK92)
| ~ spl93_17 ),
inference(resolution,[],[f467,f241]) ).
fof(f241,plain,
! [X0] :
( ~ p404(X0)
| ~ p504(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1710,plain,
( ~ spl93_8
| ~ spl93_13
| ~ spl93_95
| ~ spl93_96 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1709,plain,
( $false
| ~ spl93_8
| ~ spl93_13
| ~ spl93_95
| ~ spl93_96 ),
inference(subsumption_resolution,[],[f1708,f1199]) ).
fof(f1199,plain,
( sP30(sK92)
| ~ spl93_95 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f1198,plain,
( spl93_95
<=> sP30(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_95])]) ).
fof(f1708,plain,
( ~ sP30(sK92)
| ~ spl93_8
| ~ spl93_13
| ~ spl93_96 ),
inference(subsumption_resolution,[],[f1702,f1204]) ).
fof(f1204,plain,
( r1(sK92,sK50(sK92))
| ~ spl93_96 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1202,plain,
( spl93_96
<=> r1(sK92,sK50(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_96])]) ).
fof(f1702,plain,
( ~ r1(sK92,sK50(sK92))
| ~ sP30(sK92)
| ~ spl93_8
| ~ spl93_13 ),
inference(resolution,[],[f451,f1638]) ).
fof(f1638,plain,
( ! [X0] :
( ~ p303(X0)
| ~ r1(sK92,sK50(X0))
| ~ sP30(X0) )
| ~ spl93_8 ),
inference(resolution,[],[f432,f318]) ).
fof(f318,plain,
! [X0] :
( ~ p203(sK50(X0))
| ~ p303(X0)
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( ~ p203(sK50(X0))
& r1(X0,sK50(X0)) )
| ~ p303(X0)
| ~ sP30(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f88,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK50(X0))
& r1(X0,sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p303(X0)
| ~ sP30(X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X12] :
( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ~ p303(X12)
| ~ sP30(X12) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X12] :
( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ~ p303(X12)
| ~ sP30(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f451,plain,
( p303(sK92)
| ~ spl93_13 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl93_13
<=> p303(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_13])]) ).
fof(f1701,plain,
( ~ spl93_1
| ~ spl93_112
| spl93_113 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
fof(f1700,plain,
( $false
| ~ spl93_1
| ~ spl93_112
| spl93_113 ),
inference(subsumption_resolution,[],[f1699,f1686]) ).
fof(f1686,plain,
( sP4(sK92)
| ~ spl93_112 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1685,plain,
( spl93_112
<=> sP4(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_112])]) ).
fof(f1699,plain,
( ~ sP4(sK92)
| ~ spl93_1
| ~ spl93_112
| spl93_113 ),
inference(subsumption_resolution,[],[f1697,f1698]) ).
fof(f1698,plain,
( ~ r1(sK92,sK81(sK92))
| ~ spl93_1
| ~ spl93_112
| spl93_113 ),
inference(subsumption_resolution,[],[f1696,f1686]) ).
fof(f1696,plain,
( ~ r1(sK92,sK81(sK92))
| ~ sP4(sK92)
| ~ spl93_1
| spl93_113 ),
inference(resolution,[],[f1691,f1634]) ).
fof(f1634,plain,
( ! [X0] :
( r1(X0,sK82(X0))
| ~ r1(sK92,sK81(X0))
| ~ sP4(X0) )
| ~ spl93_1 ),
inference(resolution,[],[f409,f381]) ).
fof(f381,plain,
! [X0] :
( ~ p105(sK81(X0))
| r1(X0,sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( ~ p105(sK81(X0))
& r1(X0,sK81(X0)) )
| ( ~ p305(sK82(X0))
& r1(X0,sK82(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f197,f199,f198]) ).
fof(f198,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK81(X0))
& r1(X0,sK81(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0] :
( ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
=> ( ~ p305(sK82(X0))
& r1(X0,sK82(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
| ~ sP4(X0) ),
inference(rectify,[],[f196]) ).
fof(f196,plain,
! [X12] :
( ? [X45] :
( ~ p105(X45)
& r1(X12,X45) )
| ? [X46] :
( ~ p305(X46)
& r1(X12,X46) )
| ~ sP4(X12) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X12] :
( ? [X45] :
( ~ p105(X45)
& r1(X12,X45) )
| ? [X46] :
( ~ p305(X46)
& r1(X12,X46) )
| ~ sP4(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1691,plain,
( ~ r1(sK92,sK82(sK92))
| spl93_113 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1689,plain,
( spl93_113
<=> r1(sK92,sK82(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_113])]) ).
fof(f1697,plain,
( r1(sK92,sK81(sK92))
| ~ sP4(sK92)
| spl93_113 ),
inference(resolution,[],[f1691,f379]) ).
fof(f379,plain,
! [X0] :
( r1(X0,sK82(X0))
| r1(X0,sK81(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1695,plain,
( ~ spl93_31
| spl93_112 ),
inference(avatar_contradiction_clause,[],[f1694]) ).
fof(f1694,plain,
( $false
| ~ spl93_31
| spl93_112 ),
inference(subsumption_resolution,[],[f1693,f531]) ).
fof(f1693,plain,
( ~ sP40(sK92)
| spl93_112 ),
inference(resolution,[],[f1687,f237]) ).
fof(f237,plain,
! [X0] :
( sP4(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1687,plain,
( ~ sP4(sK92)
| spl93_112 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1692,plain,
( ~ spl93_112
| ~ spl93_113
| ~ spl93_1
| ~ spl93_11 ),
inference(avatar_split_clause,[],[f1683,f443,f408,f1689,f1685]) ).
fof(f443,plain,
( spl93_11
<=> ! [X10] :
( p305(X10)
| ~ r1(sK92,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_11])]) ).
fof(f1683,plain,
( ~ r1(sK92,sK82(sK92))
| ~ sP4(sK92)
| ~ spl93_1
| ~ spl93_11 ),
inference(subsumption_resolution,[],[f1682,f444]) ).
fof(f444,plain,
( ! [X10] :
( p305(X10)
| ~ r1(sK92,X10) )
| ~ spl93_11 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f1682,plain,
( ~ r1(sK92,sK82(sK92))
| ~ sP4(sK92)
| ~ p305(sK82(sK92))
| ~ spl93_1
| ~ spl93_11 ),
inference(duplicate_literal_removal,[],[f1681]) ).
fof(f1681,plain,
( ~ r1(sK92,sK82(sK92))
| ~ sP4(sK92)
| ~ p305(sK82(sK92))
| ~ sP4(sK92)
| ~ spl93_1
| ~ spl93_11 ),
inference(resolution,[],[f1677,f380]) ).
fof(f380,plain,
! [X0] :
( r1(X0,sK81(X0))
| ~ p305(sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1677,plain,
( ! [X0] :
( ~ r1(sK92,sK81(X0))
| ~ r1(sK92,sK82(X0))
| ~ sP4(X0) )
| ~ spl93_1
| ~ spl93_11 ),
inference(resolution,[],[f444,f1635]) ).
fof(f1635,plain,
( ! [X0] :
( ~ p305(sK82(X0))
| ~ r1(sK92,sK81(X0))
| ~ sP4(X0) )
| ~ spl93_1 ),
inference(resolution,[],[f409,f382]) ).
fof(f382,plain,
! [X0] :
( ~ p105(sK81(X0))
| ~ p305(sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1669,plain,
( ~ spl93_31
| spl93_110 ),
inference(avatar_contradiction_clause,[],[f1668]) ).
fof(f1668,plain,
( $false
| ~ spl93_31
| spl93_110 ),
inference(subsumption_resolution,[],[f1667,f531]) ).
fof(f1667,plain,
( ~ sP40(sK92)
| spl93_110 ),
inference(resolution,[],[f1655,f236]) ).
fof(f236,plain,
! [X0] :
( sP3(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1655,plain,
( ~ sP3(sK92)
| spl93_110 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1653,plain,
( spl93_110
<=> sP3(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_110])]) ).
fof(f1664,plain,
( ~ spl93_110
| spl93_111
| spl93_109 ),
inference(avatar_split_clause,[],[f1658,f1649,f1660,f1653]) ).
fof(f1660,plain,
( spl93_111
<=> r1(sK92,sK83(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_111])]) ).
fof(f1649,plain,
( spl93_109
<=> r1(sK92,sK84(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_109])]) ).
fof(f1658,plain,
( r1(sK92,sK83(sK92))
| ~ sP3(sK92)
| spl93_109 ),
inference(resolution,[],[f1651,f383]) ).
fof(f383,plain,
! [X0] :
( r1(X0,sK84(X0))
| r1(X0,sK83(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ( ~ p105(sK83(X0))
& r1(X0,sK83(X0)) )
| ( ~ p405(sK84(X0))
& r1(X0,sK84(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84])],[f202,f204,f203]) ).
fof(f203,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK83(X0))
& r1(X0,sK83(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0] :
( ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
=> ( ~ p405(sK84(X0))
& r1(X0,sK84(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
| ~ sP3(X0) ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
! [X12] :
( ? [X47] :
( ~ p105(X47)
& r1(X12,X47) )
| ? [X48] :
( ~ p405(X48)
& r1(X12,X48) )
| ~ sP3(X12) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X12] :
( ? [X47] :
( ~ p105(X47)
& r1(X12,X47) )
| ? [X48] :
( ~ p405(X48)
& r1(X12,X48) )
| ~ sP3(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1651,plain,
( ~ r1(sK92,sK84(sK92))
| spl93_109 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1663,plain,
( ~ spl93_110
| ~ spl93_111
| ~ spl93_1
| spl93_109 ),
inference(avatar_split_clause,[],[f1657,f1649,f408,f1660,f1653]) ).
fof(f1657,plain,
( ~ r1(sK92,sK83(sK92))
| ~ sP3(sK92)
| ~ spl93_1
| spl93_109 ),
inference(resolution,[],[f1651,f1636]) ).
fof(f1636,plain,
( ! [X0] :
( r1(X0,sK84(X0))
| ~ r1(sK92,sK83(X0))
| ~ sP3(X0) )
| ~ spl93_1 ),
inference(resolution,[],[f409,f385]) ).
fof(f385,plain,
! [X0] :
( ~ p105(sK83(X0))
| r1(X0,sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1656,plain,
( ~ spl93_109
| ~ spl93_110
| ~ spl93_1
| ~ spl93_16 ),
inference(avatar_split_clause,[],[f1647,f462,f408,f1653,f1649]) ).
fof(f1647,plain,
( ~ sP3(sK92)
| ~ r1(sK92,sK84(sK92))
| ~ spl93_1
| ~ spl93_16 ),
inference(subsumption_resolution,[],[f1646,f463]) ).
fof(f1646,plain,
( ~ sP3(sK92)
| ~ r1(sK92,sK84(sK92))
| ~ p405(sK84(sK92))
| ~ spl93_1
| ~ spl93_16 ),
inference(duplicate_literal_removal,[],[f1645]) ).
fof(f1645,plain,
( ~ sP3(sK92)
| ~ r1(sK92,sK84(sK92))
| ~ p405(sK84(sK92))
| ~ sP3(sK92)
| ~ spl93_1
| ~ spl93_16 ),
inference(resolution,[],[f1643,f384]) ).
fof(f384,plain,
! [X0] :
( r1(X0,sK83(X0))
| ~ p405(sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1643,plain,
( ! [X0] :
( ~ r1(sK92,sK83(X0))
| ~ sP3(X0)
| ~ r1(sK92,sK84(X0)) )
| ~ spl93_1
| ~ spl93_16 ),
inference(resolution,[],[f1637,f463]) ).
fof(f1637,plain,
( ! [X0] :
( ~ p405(sK84(X0))
| ~ r1(sK92,sK83(X0))
| ~ sP3(X0) )
| ~ spl93_1 ),
inference(resolution,[],[f409,f386]) ).
fof(f386,plain,
! [X0] :
( ~ p105(sK83(X0))
| ~ p405(sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1627,plain,
( ~ spl93_5
| ~ spl93_25
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1626]) ).
fof(f1626,plain,
( $false
| ~ spl93_5
| ~ spl93_25
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1625,f531]) ).
fof(f1625,plain,
( ~ sP40(sK92)
| ~ spl93_5
| ~ spl93_25 ),
inference(subsumption_resolution,[],[f1623,f500]) ).
fof(f500,plain,
( p501(sK92)
| ~ spl93_25 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl93_25
<=> p501(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_25])]) ).
fof(f1623,plain,
( ~ p501(sK92)
| ~ sP40(sK92)
| ~ spl93_5 ),
inference(resolution,[],[f422,f295]) ).
fof(f295,plain,
! [X0] :
( ~ p101(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1619,plain,
( ~ spl93_3
| ~ spl93_28
| ~ spl93_79
| ~ spl93_80 ),
inference(avatar_contradiction_clause,[],[f1618]) ).
fof(f1618,plain,
( $false
| ~ spl93_3
| ~ spl93_28
| ~ spl93_79
| ~ spl93_80 ),
inference(subsumption_resolution,[],[f1617,f967]) ).
fof(f967,plain,
( sP31(sK92)
| ~ spl93_79 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f966,plain,
( spl93_79
<=> sP31(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_79])]) ).
fof(f1617,plain,
( ~ sP31(sK92)
| ~ spl93_3
| ~ spl93_28
| ~ spl93_80 ),
inference(subsumption_resolution,[],[f1614,f972]) ).
fof(f972,plain,
( r1(sK92,sK49(sK92))
| ~ spl93_80 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f970,plain,
( spl93_80
<=> r1(sK92,sK49(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_80])]) ).
fof(f1614,plain,
( ~ r1(sK92,sK49(sK92))
| ~ sP31(sK92)
| ~ spl93_3
| ~ spl93_28 ),
inference(resolution,[],[f513,f1551]) ).
fof(f1551,plain,
( ! [X0] :
( ~ p603(X0)
| ~ r1(sK92,sK49(X0))
| ~ sP31(X0) )
| ~ spl93_3 ),
inference(resolution,[],[f415,f316]) ).
fof(f316,plain,
! [X0] :
( ~ p103(sK49(X0))
| ~ p603(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( ~ p103(sK49(X0))
& r1(X0,sK49(X0)) )
| ~ p603(X0)
| ~ sP31(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f84,f85]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK49(X0))
& r1(X0,sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p603(X0)
| ~ sP31(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X12] :
( ? [X23] :
( ~ p103(X23)
& r1(X12,X23) )
| ~ p603(X12)
| ~ sP31(X12) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X12] :
( ? [X23] :
( ~ p103(X23)
& r1(X12,X23) )
| ~ p603(X12)
| ~ sP31(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f415,plain,
( ! [X3] :
( p103(X3)
| ~ r1(sK92,X3) )
| ~ spl93_3 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl93_3
<=> ! [X3] :
( p103(X3)
| ~ r1(sK92,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_3])]) ).
fof(f1607,plain,
( ~ spl93_3
| ~ spl93_23
| ~ spl93_42
| ~ spl93_43 ),
inference(avatar_contradiction_clause,[],[f1606]) ).
fof(f1606,plain,
( $false
| ~ spl93_3
| ~ spl93_23
| ~ spl93_42
| ~ spl93_43 ),
inference(subsumption_resolution,[],[f1605,f688]) ).
fof(f688,plain,
( sP32(sK92)
| ~ spl93_42 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f687,plain,
( spl93_42
<=> sP32(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_42])]) ).
fof(f1605,plain,
( ~ sP32(sK92)
| ~ spl93_3
| ~ spl93_23
| ~ spl93_43 ),
inference(subsumption_resolution,[],[f1601,f693]) ).
fof(f693,plain,
( r1(sK92,sK48(sK92))
| ~ spl93_43 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl93_43
<=> r1(sK92,sK48(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_43])]) ).
fof(f1601,plain,
( ~ r1(sK92,sK48(sK92))
| ~ sP32(sK92)
| ~ spl93_3
| ~ spl93_23 ),
inference(resolution,[],[f492,f1550]) ).
fof(f1550,plain,
( ! [X0] :
( ~ p503(X0)
| ~ r1(sK92,sK48(X0))
| ~ sP32(X0) )
| ~ spl93_3 ),
inference(resolution,[],[f415,f314]) ).
fof(f314,plain,
! [X0] :
( ~ p103(sK48(X0))
| ~ p503(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( ~ p103(sK48(X0))
& r1(X0,sK48(X0)) )
| ~ p503(X0)
| ~ sP32(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f80,f81]) ).
fof(f81,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK48(X0))
& r1(X0,sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p503(X0)
| ~ sP32(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X12] :
( ? [X22] :
( ~ p103(X22)
& r1(X12,X22) )
| ~ p503(X12)
| ~ sP32(X12) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X12] :
( ? [X22] :
( ~ p103(X22)
& r1(X12,X22) )
| ~ p503(X12)
| ~ sP32(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f492,plain,
( p503(sK92)
| ~ spl93_23 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl93_23
<=> p503(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_23])]) ).
fof(f1595,plain,
( ~ spl93_7
| ~ spl93_12
| ~ spl93_107
| ~ spl93_108 ),
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f1594,plain,
( $false
| ~ spl93_7
| ~ spl93_12
| ~ spl93_107
| ~ spl93_108 ),
inference(subsumption_resolution,[],[f1593,f1592]) ).
fof(f1592,plain,
( r1(sK92,sK78(sK92))
| ~ spl93_7
| ~ spl93_107
| ~ spl93_108 ),
inference(subsumption_resolution,[],[f1591,f1575]) ).
fof(f1575,plain,
( sP6(sK92)
| ~ spl93_107 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1574,plain,
( spl93_107
<=> sP6(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_107])]) ).
fof(f1591,plain,
( r1(sK92,sK78(sK92))
| ~ sP6(sK92)
| ~ spl93_7
| ~ spl93_108 ),
inference(resolution,[],[f1559,f1580]) ).
fof(f1580,plain,
( r1(sK92,sK77(sK92))
| ~ spl93_108 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1578,plain,
( spl93_108
<=> r1(sK92,sK77(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_108])]) ).
fof(f1559,plain,
( ! [X0] :
( ~ r1(sK92,sK77(X0))
| r1(X0,sK78(X0))
| ~ sP6(X0) )
| ~ spl93_7 ),
inference(resolution,[],[f429,f373]) ).
fof(f373,plain,
! [X0] :
( ~ p204(sK77(X0))
| r1(X0,sK78(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( ~ p204(sK77(X0))
& r1(X0,sK77(X0)) )
| ( ~ p304(sK78(X0))
& r1(X0,sK78(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77,sK78])],[f187,f189,f188]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK77(X0))
& r1(X0,sK77(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
! [X0] :
( ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
=> ( ~ p304(sK78(X0))
& r1(X0,sK78(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
| ~ sP6(X0) ),
inference(rectify,[],[f186]) ).
fof(f186,plain,
! [X12] :
( ? [X35] :
( ~ p204(X35)
& r1(X12,X35) )
| ? [X36] :
( ~ p304(X36)
& r1(X12,X36) )
| ~ sP6(X12) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X12] :
( ? [X35] :
( ~ p204(X35)
& r1(X12,X35) )
| ? [X36] :
( ~ p304(X36)
& r1(X12,X36) )
| ~ sP6(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1593,plain,
( ~ r1(sK92,sK78(sK92))
| ~ spl93_7
| ~ spl93_12
| ~ spl93_107
| ~ spl93_108 ),
inference(resolution,[],[f1590,f447]) ).
fof(f447,plain,
( ! [X9] :
( p304(X9)
| ~ r1(sK92,X9) )
| ~ spl93_12 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl93_12
<=> ! [X9] :
( p304(X9)
| ~ r1(sK92,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_12])]) ).
fof(f1590,plain,
( ~ p304(sK78(sK92))
| ~ spl93_7
| ~ spl93_107
| ~ spl93_108 ),
inference(subsumption_resolution,[],[f1589,f1575]) ).
fof(f1589,plain,
( ~ p304(sK78(sK92))
| ~ sP6(sK92)
| ~ spl93_7
| ~ spl93_108 ),
inference(resolution,[],[f1580,f1560]) ).
fof(f1560,plain,
( ! [X0] :
( ~ r1(sK92,sK77(X0))
| ~ p304(sK78(X0))
| ~ sP6(X0) )
| ~ spl93_7 ),
inference(resolution,[],[f429,f374]) ).
fof(f374,plain,
! [X0] :
( ~ p204(sK77(X0))
| ~ p304(sK78(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1584,plain,
( ~ spl93_31
| spl93_107 ),
inference(avatar_contradiction_clause,[],[f1583]) ).
fof(f1583,plain,
( $false
| ~ spl93_31
| spl93_107 ),
inference(subsumption_resolution,[],[f1582,f531]) ).
fof(f1582,plain,
( ~ sP40(sK92)
| spl93_107 ),
inference(resolution,[],[f1576,f248]) ).
fof(f248,plain,
! [X0] :
( sP6(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1576,plain,
( ~ sP6(sK92)
| spl93_107 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1581,plain,
( ~ spl93_107
| spl93_108
| ~ spl93_12 ),
inference(avatar_split_clause,[],[f1572,f446,f1578,f1574]) ).
fof(f1572,plain,
( r1(sK92,sK77(sK92))
| ~ sP6(sK92)
| ~ spl93_12 ),
inference(duplicate_literal_removal,[],[f1571]) ).
fof(f1571,plain,
( r1(sK92,sK77(sK92))
| ~ sP6(sK92)
| r1(sK92,sK77(sK92))
| ~ sP6(sK92)
| ~ spl93_12 ),
inference(resolution,[],[f1518,f371]) ).
fof(f371,plain,
! [X0] :
( r1(X0,sK78(X0))
| r1(X0,sK77(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1518,plain,
( ! [X0] :
( ~ r1(sK92,sK78(X0))
| r1(X0,sK77(X0))
| ~ sP6(X0) )
| ~ spl93_12 ),
inference(resolution,[],[f447,f372]) ).
fof(f372,plain,
! [X0] :
( ~ p304(sK78(X0))
| r1(X0,sK77(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1566,plain,
( ~ spl93_60
| ~ spl93_16
| spl93_61 ),
inference(avatar_split_clause,[],[f1561,f791,f462,f786]) ).
fof(f786,plain,
( spl93_60
<=> r1(sK92,sK69(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_60])]) ).
fof(f791,plain,
( spl93_61
<=> p405(sK69(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_61])]) ).
fof(f1561,plain,
( ~ r1(sK92,sK69(sK92))
| ~ spl93_16
| spl93_61 ),
inference(resolution,[],[f463,f793]) ).
fof(f793,plain,
( ~ p405(sK69(sK92))
| spl93_61 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f1547,plain,
( ~ spl93_12
| ~ spl93_17
| ~ spl93_64
| ~ spl93_65 ),
inference(avatar_contradiction_clause,[],[f1546]) ).
fof(f1546,plain,
( $false
| ~ spl93_12
| ~ spl93_17
| ~ spl93_64
| ~ spl93_65 ),
inference(subsumption_resolution,[],[f1545,f867]) ).
fof(f867,plain,
( sP20(sK92)
| ~ spl93_64 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f866,plain,
( spl93_64
<=> sP20(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_64])]) ).
fof(f1545,plain,
( ~ sP20(sK92)
| ~ spl93_12
| ~ spl93_17
| ~ spl93_65 ),
inference(subsumption_resolution,[],[f1544,f872]) ).
fof(f872,plain,
( r1(sK92,sK60(sK92))
| ~ spl93_65 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f870,plain,
( spl93_65
<=> r1(sK92,sK60(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_65])]) ).
fof(f1544,plain,
( ~ r1(sK92,sK60(sK92))
| ~ sP20(sK92)
| ~ spl93_12
| ~ spl93_17 ),
inference(resolution,[],[f467,f1513]) ).
fof(f1513,plain,
( ! [X0] :
( ~ p404(X0)
| ~ r1(sK92,sK60(X0))
| ~ sP20(X0) )
| ~ spl93_12 ),
inference(resolution,[],[f447,f338]) ).
fof(f338,plain,
! [X0] :
( ~ p304(sK60(X0))
| ~ p404(X0)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( ~ p304(sK60(X0))
& r1(X0,sK60(X0)) )
| ~ p404(X0)
| ~ sP20(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f128,f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK60(X0))
& r1(X0,sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ~ p404(X0)
| ~ sP20(X0) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X12] :
( ? [X40] :
( ~ p304(X40)
& r1(X12,X40) )
| ~ p404(X12)
| ~ sP20(X12) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X12] :
( ? [X40] :
( ~ p304(X40)
& r1(X12,X40) )
| ~ p404(X12)
| ~ sP20(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1535,plain,
( ~ spl93_12
| ~ spl93_27
| ~ spl93_44
| ~ spl93_45 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1534,plain,
( $false
| ~ spl93_12
| ~ spl93_27
| ~ spl93_44
| ~ spl93_45 ),
inference(subsumption_resolution,[],[f1533,f703]) ).
fof(f703,plain,
( sP18(sK92)
| ~ spl93_44 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f702,plain,
( spl93_44
<=> sP18(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_44])]) ).
fof(f1533,plain,
( ~ sP18(sK92)
| ~ spl93_12
| ~ spl93_27
| ~ spl93_45 ),
inference(subsumption_resolution,[],[f1532,f509]) ).
fof(f1532,plain,
( ~ p604(sK92)
| ~ sP18(sK92)
| ~ spl93_12
| ~ spl93_45 ),
inference(resolution,[],[f1515,f708]) ).
fof(f708,plain,
( r1(sK92,sK62(sK92))
| ~ spl93_45 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl93_45
<=> r1(sK92,sK62(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_45])]) ).
fof(f1515,plain,
( ! [X0] :
( ~ r1(sK92,sK62(X0))
| ~ p604(X0)
| ~ sP18(X0) )
| ~ spl93_12 ),
inference(resolution,[],[f447,f342]) ).
fof(f342,plain,
! [X0] :
( ~ p304(sK62(X0))
| ~ p604(X0)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( ~ p304(sK62(X0))
& r1(X0,sK62(X0)) )
| ~ p604(X0)
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f136,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK62(X0))
& r1(X0,sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ~ p604(X0)
| ~ sP18(X0) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X12] :
( ? [X42] :
( ~ p304(X42)
& r1(X12,X42) )
| ~ p604(X12)
| ~ sP18(X12) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X12] :
( ? [X42] :
( ~ p304(X42)
& r1(X12,X42) )
| ~ p604(X12)
| ~ sP18(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1522,plain,
( ~ spl93_4
| ~ spl93_24
| ~ spl93_62
| ~ spl93_63 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1521,plain,
( $false
| ~ spl93_4
| ~ spl93_24
| ~ spl93_62
| ~ spl93_63 ),
inference(subsumption_resolution,[],[f1520,f806]) ).
fof(f806,plain,
( sP36(sK92)
| ~ spl93_62 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl93_62
<=> sP36(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_62])]) ).
fof(f1520,plain,
( ~ sP36(sK92)
| ~ spl93_4
| ~ spl93_24
| ~ spl93_63 ),
inference(subsumption_resolution,[],[f1519,f496]) ).
fof(f496,plain,
( p502(sK92)
| ~ spl93_24 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl93_24
<=> p502(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_24])]) ).
fof(f1519,plain,
( ~ p502(sK92)
| ~ sP36(sK92)
| ~ spl93_4
| ~ spl93_63 ),
inference(resolution,[],[f1511,f811]) ).
fof(f811,plain,
( r1(sK92,sK44(sK92))
| ~ spl93_63 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl93_63
<=> r1(sK92,sK44(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_63])]) ).
fof(f1511,plain,
( ! [X0] :
( ~ r1(sK92,sK44(X0))
| ~ p502(X0)
| ~ sP36(X0) )
| ~ spl93_4 ),
inference(resolution,[],[f418,f306]) ).
fof(f306,plain,
! [X0] :
( ~ p102(sK44(X0))
| ~ p502(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ~ p102(sK44(X0))
& r1(X0,sK44(X0)) )
| ~ p502(X0)
| ~ sP36(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f64,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK44(X0))
& r1(X0,sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p502(X0)
| ~ sP36(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X12] :
( ? [X16] :
( ~ p102(X16)
& r1(X12,X16) )
| ~ p502(X12)
| ~ sP36(X12) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X12] :
( ? [X16] :
( ~ p102(X16)
& r1(X12,X16) )
| ~ p502(X12)
| ~ sP36(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f1501,plain,
( ~ spl93_5
| ~ spl93_30
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1500]) ).
fof(f1500,plain,
( $false
| ~ spl93_5
| ~ spl93_30
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1499,f531]) ).
fof(f1499,plain,
( ~ sP40(sK92)
| ~ spl93_5
| ~ spl93_30 ),
inference(subsumption_resolution,[],[f1498,f521]) ).
fof(f521,plain,
( p601(sK92)
| ~ spl93_30 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl93_30
<=> p601(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_30])]) ).
fof(f1498,plain,
( ~ p601(sK92)
| ~ sP40(sK92)
| ~ spl93_5 ),
inference(resolution,[],[f422,f294]) ).
fof(f294,plain,
! [X0] :
( ~ p101(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1493,plain,
( ~ spl93_3
| ~ spl93_13
| ~ spl93_97
| ~ spl93_98 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1492,plain,
( $false
| ~ spl93_3
| ~ spl93_13
| ~ spl93_97
| ~ spl93_98 ),
inference(subsumption_resolution,[],[f1491,f1208]) ).
fof(f1208,plain,
( sP34(sK92)
| ~ spl93_97 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1207,plain,
( spl93_97
<=> sP34(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_97])]) ).
fof(f1491,plain,
( ~ sP34(sK92)
| ~ spl93_3
| ~ spl93_13
| ~ spl93_98 ),
inference(subsumption_resolution,[],[f1490,f451]) ).
fof(f1490,plain,
( ~ p303(sK92)
| ~ sP34(sK92)
| ~ spl93_3
| ~ spl93_98 ),
inference(resolution,[],[f1484,f1213]) ).
fof(f1213,plain,
( r1(sK92,sK46(sK92))
| ~ spl93_98 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1211,plain,
( spl93_98
<=> r1(sK92,sK46(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_98])]) ).
fof(f1484,plain,
( ! [X0] :
( ~ r1(sK92,sK46(X0))
| ~ p303(X0)
| ~ sP34(X0) )
| ~ spl93_3 ),
inference(resolution,[],[f415,f310]) ).
fof(f310,plain,
! [X0] :
( ~ p103(sK46(X0))
| ~ p303(X0)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ~ p103(sK46(X0))
& r1(X0,sK46(X0)) )
| ~ p303(X0)
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f72,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK46(X0))
& r1(X0,sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p303(X0)
| ~ sP34(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X12] :
( ? [X20] :
( ~ p103(X20)
& r1(X12,X20) )
| ~ p303(X12)
| ~ sP34(X12) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X12] :
( ? [X20] :
( ~ p103(X20)
& r1(X12,X20) )
| ~ p303(X12)
| ~ sP34(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f1483,plain,
( ~ spl93_4
| ~ spl93_19
| ~ spl93_75
| ~ spl93_76 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1482,plain,
( $false
| ~ spl93_4
| ~ spl93_19
| ~ spl93_75
| ~ spl93_76 ),
inference(subsumption_resolution,[],[f1481,f936]) ).
fof(f936,plain,
( sP37(sK92)
| ~ spl93_75 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f935,plain,
( spl93_75
<=> sP37(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_75])]) ).
fof(f1481,plain,
( ~ sP37(sK92)
| ~ spl93_4
| ~ spl93_19
| ~ spl93_76 ),
inference(subsumption_resolution,[],[f1480,f475]) ).
fof(f475,plain,
( p402(sK92)
| ~ spl93_19 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl93_19
<=> p402(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_19])]) ).
fof(f1480,plain,
( ~ p402(sK92)
| ~ sP37(sK92)
| ~ spl93_4
| ~ spl93_76 ),
inference(resolution,[],[f1471,f941]) ).
fof(f941,plain,
( r1(sK92,sK43(sK92))
| ~ spl93_76 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f939,plain,
( spl93_76
<=> r1(sK92,sK43(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_76])]) ).
fof(f1471,plain,
( ! [X0] :
( ~ r1(sK92,sK43(X0))
| ~ p402(X0)
| ~ sP37(X0) )
| ~ spl93_4 ),
inference(resolution,[],[f418,f304]) ).
fof(f304,plain,
! [X0] :
( ~ p102(sK43(X0))
| ~ p402(X0)
| ~ sP37(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ~ p102(sK43(X0))
& r1(X0,sK43(X0)) )
| ~ p402(X0)
| ~ sP37(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f60,f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK43(X0))
& r1(X0,sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p402(X0)
| ~ sP37(X0) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X12] :
( ? [X15] :
( ~ p102(X15)
& r1(X12,X15) )
| ~ p402(X12)
| ~ sP37(X12) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X12] :
( ? [X15] :
( ~ p102(X15)
& r1(X12,X15) )
| ~ p402(X12)
| ~ sP37(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f1460,plain,
( ~ spl93_30
| ~ spl93_15
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1459,f530,f457,f519]) ).
fof(f457,plain,
( spl93_15
<=> p301(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_15])]) ).
fof(f1459,plain,
( ~ p601(sK92)
| ~ spl93_15
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1378,f531]) ).
fof(f1378,plain,
( ~ p601(sK92)
| ~ sP40(sK92)
| ~ spl93_15 ),
inference(resolution,[],[f459,f287]) ).
fof(f287,plain,
! [X0] :
( ~ p301(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f459,plain,
( p301(sK92)
| ~ spl93_15 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f1458,plain,
( ~ spl93_8
| ~ spl93_18
| ~ spl93_71
| ~ spl93_72 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
fof(f1457,plain,
( $false
| ~ spl93_8
| ~ spl93_18
| ~ spl93_71
| ~ spl93_72 ),
inference(subsumption_resolution,[],[f1456,f906]) ).
fof(f906,plain,
( sP29(sK92)
| ~ spl93_71 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f905,plain,
( spl93_71
<=> sP29(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_71])]) ).
fof(f1456,plain,
( ~ sP29(sK92)
| ~ spl93_8
| ~ spl93_18
| ~ spl93_72 ),
inference(subsumption_resolution,[],[f1455,f471]) ).
fof(f471,plain,
( p403(sK92)
| ~ spl93_18 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl93_18
<=> p403(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_18])]) ).
fof(f1455,plain,
( ~ p403(sK92)
| ~ sP29(sK92)
| ~ spl93_8
| ~ spl93_72 ),
inference(resolution,[],[f1451,f911]) ).
fof(f911,plain,
( r1(sK92,sK51(sK92))
| ~ spl93_72 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f909,plain,
( spl93_72
<=> r1(sK92,sK51(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_72])]) ).
fof(f1451,plain,
( ! [X0] :
( ~ r1(sK92,sK51(X0))
| ~ p403(X0)
| ~ sP29(X0) )
| ~ spl93_8 ),
inference(resolution,[],[f432,f320]) ).
fof(f320,plain,
! [X0] :
( ~ p203(sK51(X0))
| ~ p403(X0)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( ~ p203(sK51(X0))
& r1(X0,sK51(X0)) )
| ~ p403(X0)
| ~ sP29(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f92,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK51(X0))
& r1(X0,sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p403(X0)
| ~ sP29(X0) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X12] :
( ? [X25] :
( ~ p203(X25)
& r1(X12,X25) )
| ~ p403(X12)
| ~ sP29(X12) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X12] :
( ? [X25] :
( ~ p203(X25)
& r1(X12,X25) )
| ~ p403(X12)
| ~ sP29(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1449,plain,
( ~ spl93_31
| spl93_105 ),
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1448,plain,
( $false
| ~ spl93_31
| spl93_105 ),
inference(subsumption_resolution,[],[f1447,f531]) ).
fof(f1447,plain,
( ~ sP40(sK92)
| spl93_105 ),
inference(resolution,[],[f1437,f238]) ).
fof(f238,plain,
! [X0] :
( sP5(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1437,plain,
( ~ sP5(sK92)
| spl93_105 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1435,plain,
( spl93_105
<=> sP5(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_105])]) ).
fof(f1446,plain,
( ~ spl93_105
| spl93_106
| spl93_104 ),
inference(avatar_split_clause,[],[f1440,f1431,f1442,f1435]) ).
fof(f1442,plain,
( spl93_106
<=> r1(sK92,sK79(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_106])]) ).
fof(f1431,plain,
( spl93_104
<=> r1(sK92,sK80(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_104])]) ).
fof(f1440,plain,
( r1(sK92,sK79(sK92))
| ~ sP5(sK92)
| spl93_104 ),
inference(resolution,[],[f1433,f375]) ).
fof(f375,plain,
! [X0] :
( r1(X0,sK80(X0))
| r1(X0,sK79(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( ~ p105(sK79(X0))
& r1(X0,sK79(X0)) )
| ( ~ p205(sK80(X0))
& r1(X0,sK80(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f192,f194,f193]) ).
fof(f193,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK79(X0))
& r1(X0,sK79(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0] :
( ? [X2] :
( ~ p205(X2)
& r1(X0,X2) )
=> ( ~ p205(sK80(X0))
& r1(X0,sK80(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p205(X2)
& r1(X0,X2) )
| ~ sP5(X0) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X12] :
( ? [X43] :
( ~ p105(X43)
& r1(X12,X43) )
| ? [X44] :
( ~ p205(X44)
& r1(X12,X44) )
| ~ sP5(X12) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X12] :
( ? [X43] :
( ~ p105(X43)
& r1(X12,X43) )
| ? [X44] :
( ~ p205(X44)
& r1(X12,X44) )
| ~ sP5(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1433,plain,
( ~ r1(sK92,sK80(sK92))
| spl93_104 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1445,plain,
( ~ spl93_105
| ~ spl93_106
| ~ spl93_1
| spl93_104 ),
inference(avatar_split_clause,[],[f1439,f1431,f408,f1442,f1435]) ).
fof(f1439,plain,
( ~ r1(sK92,sK79(sK92))
| ~ sP5(sK92)
| ~ spl93_1
| spl93_104 ),
inference(resolution,[],[f1433,f1420]) ).
fof(f1420,plain,
( ! [X0] :
( r1(X0,sK80(X0))
| ~ r1(sK92,sK79(X0))
| ~ sP5(X0) )
| ~ spl93_1 ),
inference(resolution,[],[f409,f377]) ).
fof(f377,plain,
! [X0] :
( ~ p105(sK79(X0))
| r1(X0,sK80(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1438,plain,
( ~ spl93_104
| ~ spl93_105
| ~ spl93_1
| ~ spl93_6 ),
inference(avatar_split_clause,[],[f1429,f425,f408,f1435,f1431]) ).
fof(f425,plain,
( spl93_6
<=> ! [X8] :
( p205(X8)
| ~ r1(sK92,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_6])]) ).
fof(f1429,plain,
( ~ sP5(sK92)
| ~ r1(sK92,sK80(sK92))
| ~ spl93_1
| ~ spl93_6 ),
inference(subsumption_resolution,[],[f1428,f426]) ).
fof(f426,plain,
( ! [X8] :
( p205(X8)
| ~ r1(sK92,X8) )
| ~ spl93_6 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1428,plain,
( ~ sP5(sK92)
| ~ r1(sK92,sK80(sK92))
| ~ p205(sK80(sK92))
| ~ spl93_1
| ~ spl93_6 ),
inference(duplicate_literal_removal,[],[f1427]) ).
fof(f1427,plain,
( ~ sP5(sK92)
| ~ r1(sK92,sK80(sK92))
| ~ p205(sK80(sK92))
| ~ sP5(sK92)
| ~ spl93_1
| ~ spl93_6 ),
inference(resolution,[],[f1426,f376]) ).
fof(f376,plain,
! [X0] :
( r1(X0,sK79(X0))
| ~ p205(sK80(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1426,plain,
( ! [X0] :
( ~ r1(sK92,sK79(X0))
| ~ sP5(X0)
| ~ r1(sK92,sK80(X0)) )
| ~ spl93_1
| ~ spl93_6 ),
inference(resolution,[],[f1421,f426]) ).
fof(f1421,plain,
( ! [X0] :
( ~ p205(sK80(X0))
| ~ r1(sK92,sK79(X0))
| ~ sP5(X0) )
| ~ spl93_1 ),
inference(resolution,[],[f409,f378]) ).
fof(f378,plain,
! [X0] :
( ~ p105(sK79(X0))
| ~ p205(sK80(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1417,plain,
( ~ spl93_4
| ~ spl93_29
| ~ spl93_81
| ~ spl93_82 ),
inference(avatar_contradiction_clause,[],[f1416]) ).
fof(f1416,plain,
( $false
| ~ spl93_4
| ~ spl93_29
| ~ spl93_81
| ~ spl93_82 ),
inference(subsumption_resolution,[],[f1415,f982]) ).
fof(f982,plain,
( sP35(sK92)
| ~ spl93_81 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f981,plain,
( spl93_81
<=> sP35(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_81])]) ).
fof(f1415,plain,
( ~ sP35(sK92)
| ~ spl93_4
| ~ spl93_29
| ~ spl93_82 ),
inference(subsumption_resolution,[],[f1414,f517]) ).
fof(f517,plain,
( p602(sK92)
| ~ spl93_29 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl93_29
<=> p602(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_29])]) ).
fof(f1414,plain,
( ~ p602(sK92)
| ~ sP35(sK92)
| ~ spl93_4
| ~ spl93_82 ),
inference(resolution,[],[f1413,f987]) ).
fof(f987,plain,
( r1(sK92,sK45(sK92))
| ~ spl93_82 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f985,plain,
( spl93_82
<=> r1(sK92,sK45(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_82])]) ).
fof(f1413,plain,
( ! [X0] :
( ~ r1(sK92,sK45(X0))
| ~ p602(X0)
| ~ sP35(X0) )
| ~ spl93_4 ),
inference(resolution,[],[f418,f308]) ).
fof(f308,plain,
! [X0] :
( ~ p102(sK45(X0))
| ~ p602(X0)
| ~ sP35(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( ~ p102(sK45(X0))
& r1(X0,sK45(X0)) )
| ~ p602(X0)
| ~ sP35(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f68,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK45(X0))
& r1(X0,sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p602(X0)
| ~ sP35(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X12] :
( ? [X17] :
( ~ p102(X17)
& r1(X12,X17) )
| ~ p602(X12)
| ~ sP35(X12) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X12] :
( ? [X17] :
( ~ p102(X17)
& r1(X12,X17) )
| ~ p602(X12)
| ~ sP35(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f1408,plain,
( ~ spl93_5
| ~ spl93_15
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| ~ spl93_5
| ~ spl93_15
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1406,f531]) ).
fof(f1406,plain,
( ~ sP40(sK92)
| ~ spl93_5
| ~ spl93_15 ),
inference(subsumption_resolution,[],[f1402,f459]) ).
fof(f1402,plain,
( ~ p301(sK92)
| ~ sP40(sK92)
| ~ spl93_5 ),
inference(resolution,[],[f422,f297]) ).
fof(f297,plain,
! [X0] :
( ~ p101(X0)
| ~ p301(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1400,plain,
( ~ spl93_3
| ~ spl93_18
| ~ spl93_73
| ~ spl93_74 ),
inference(avatar_contradiction_clause,[],[f1399]) ).
fof(f1399,plain,
( $false
| ~ spl93_3
| ~ spl93_18
| ~ spl93_73
| ~ spl93_74 ),
inference(subsumption_resolution,[],[f1398,f915]) ).
fof(f915,plain,
( sP33(sK92)
| ~ spl93_73 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f914,plain,
( spl93_73
<=> sP33(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_73])]) ).
fof(f1398,plain,
( ~ sP33(sK92)
| ~ spl93_3
| ~ spl93_18
| ~ spl93_74 ),
inference(subsumption_resolution,[],[f1397,f471]) ).
fof(f1397,plain,
( ~ p403(sK92)
| ~ sP33(sK92)
| ~ spl93_3
| ~ spl93_74 ),
inference(resolution,[],[f1392,f920]) ).
fof(f920,plain,
( r1(sK92,sK47(sK92))
| ~ spl93_74 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f918,plain,
( spl93_74
<=> r1(sK92,sK47(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_74])]) ).
fof(f1392,plain,
( ! [X0] :
( ~ r1(sK92,sK47(X0))
| ~ p403(X0)
| ~ sP33(X0) )
| ~ spl93_3 ),
inference(resolution,[],[f415,f312]) ).
fof(f312,plain,
! [X0] :
( ~ p103(sK47(X0))
| ~ p403(X0)
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ~ p103(sK47(X0))
& r1(X0,sK47(X0)) )
| ~ p403(X0)
| ~ sP33(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f76,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK47(X0))
& r1(X0,sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p403(X0)
| ~ sP33(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X12] :
( ? [X21] :
( ~ p103(X21)
& r1(X12,X21) )
| ~ p403(X12)
| ~ sP33(X12) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X12] :
( ? [X21] :
( ~ p103(X21)
& r1(X12,X21) )
| ~ p403(X12)
| ~ sP33(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f1387,plain,
( ~ spl93_24
| ~ spl93_29
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1386]) ).
fof(f1386,plain,
( $false
| ~ spl93_24
| ~ spl93_29
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1385,f531]) ).
fof(f1385,plain,
( ~ sP40(sK92)
| ~ spl93_24
| ~ spl93_29 ),
inference(subsumption_resolution,[],[f1384,f517]) ).
fof(f1384,plain,
( ~ p602(sK92)
| ~ sP40(sK92)
| ~ spl93_24 ),
inference(resolution,[],[f496,f269]) ).
fof(f269,plain,
! [X0] :
( ~ p502(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1375,plain,
( ~ spl93_13
| ~ spl93_18
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1374]) ).
fof(f1374,plain,
( $false
| ~ spl93_13
| ~ spl93_18
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1373,f531]) ).
fof(f1373,plain,
( ~ sP40(sK92)
| ~ spl93_13
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1370,f471]) ).
fof(f1370,plain,
( ~ p403(sK92)
| ~ sP40(sK92)
| ~ spl93_13 ),
inference(resolution,[],[f451,f259]) ).
fof(f259,plain,
! [X0] :
( ~ p303(X0)
| ~ p403(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1367,plain,
( ~ spl93_29
| ~ spl93_19
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1366,f530,f473,f515]) ).
fof(f1366,plain,
( ~ p602(sK92)
| ~ spl93_19
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1358,f531]) ).
fof(f1358,plain,
( ~ p602(sK92)
| ~ sP40(sK92)
| ~ spl93_19 ),
inference(resolution,[],[f475,f270]) ).
fof(f270,plain,
! [X0] :
( ~ p402(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1365,plain,
( ~ spl93_25
| ~ spl93_15
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1364,f530,f457,f498]) ).
fof(f1364,plain,
( ~ p501(sK92)
| ~ spl93_15
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1347,f531]) ).
fof(f1347,plain,
( ~ p501(sK92)
| ~ sP40(sK92)
| ~ spl93_15 ),
inference(resolution,[],[f459,f288]) ).
fof(f288,plain,
! [X0] :
( ~ p301(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1363,plain,
( ~ spl93_24
| ~ spl93_19
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1362,f530,f473,f494]) ).
fof(f1362,plain,
( ~ p502(sK92)
| ~ spl93_19
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1357,f531]) ).
fof(f1357,plain,
( ~ p502(sK92)
| ~ sP40(sK92)
| ~ spl93_19 ),
inference(resolution,[],[f475,f271]) ).
fof(f271,plain,
! [X0] :
( ~ p402(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1355,plain,
( ~ spl93_18
| ~ spl93_28
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1354]) ).
fof(f1354,plain,
( $false
| ~ spl93_18
| ~ spl93_28
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1353,f531]) ).
fof(f1353,plain,
( ~ sP40(sK92)
| ~ spl93_18
| ~ spl93_28 ),
inference(subsumption_resolution,[],[f1352,f513]) ).
fof(f1352,plain,
( ~ p603(sK92)
| ~ sP40(sK92)
| ~ spl93_18 ),
inference(resolution,[],[f471,f255]) ).
fof(f255,plain,
! [X0] :
( ~ p403(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1344,plain,
( ~ spl93_11
| ~ spl93_102
| spl93_103 ),
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1343,plain,
( $false
| ~ spl93_11
| ~ spl93_102
| spl93_103 ),
inference(subsumption_resolution,[],[f1342,f1329]) ).
fof(f1329,plain,
( sP2(sK92)
| ~ spl93_102 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1328,plain,
( spl93_102
<=> sP2(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_102])]) ).
fof(f1342,plain,
( ~ sP2(sK92)
| ~ spl93_11
| ~ spl93_102
| spl93_103 ),
inference(subsumption_resolution,[],[f1340,f1341]) ).
fof(f1341,plain,
( ~ r1(sK92,sK86(sK92))
| ~ spl93_11
| ~ spl93_102
| spl93_103 ),
inference(subsumption_resolution,[],[f1339,f1329]) ).
fof(f1339,plain,
( ~ r1(sK92,sK86(sK92))
| ~ sP2(sK92)
| ~ spl93_11
| spl93_103 ),
inference(resolution,[],[f1334,f1315]) ).
fof(f1315,plain,
( ! [X0] :
( r1(X0,sK85(X0))
| ~ r1(sK92,sK86(X0))
| ~ sP2(X0) )
| ~ spl93_11 ),
inference(resolution,[],[f444,f388]) ).
fof(f388,plain,
! [X0] :
( ~ p305(sK86(X0))
| r1(X0,sK85(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ( ~ p205(sK85(X0))
& r1(X0,sK85(X0)) )
| ( ~ p305(sK86(X0))
& r1(X0,sK86(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85,sK86])],[f207,f209,f208]) ).
fof(f208,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK85(X0))
& r1(X0,sK85(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
! [X0] :
( ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
=> ( ~ p305(sK86(X0))
& r1(X0,sK86(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
| ~ sP2(X0) ),
inference(rectify,[],[f206]) ).
fof(f206,plain,
! [X12] :
( ? [X51] :
( ~ p205(X51)
& r1(X12,X51) )
| ? [X52] :
( ~ p305(X52)
& r1(X12,X52) )
| ~ sP2(X12) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X12] :
( ? [X51] :
( ~ p205(X51)
& r1(X12,X51) )
| ? [X52] :
( ~ p305(X52)
& r1(X12,X52) )
| ~ sP2(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1334,plain,
( ~ r1(sK92,sK85(sK92))
| spl93_103 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1332,plain,
( spl93_103
<=> r1(sK92,sK85(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_103])]) ).
fof(f1340,plain,
( r1(sK92,sK86(sK92))
| ~ sP2(sK92)
| spl93_103 ),
inference(resolution,[],[f1334,f387]) ).
fof(f387,plain,
! [X0] :
( r1(X0,sK85(X0))
| r1(X0,sK86(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1338,plain,
( ~ spl93_31
| spl93_102 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1337,plain,
( $false
| ~ spl93_31
| spl93_102 ),
inference(subsumption_resolution,[],[f1336,f531]) ).
fof(f1336,plain,
( ~ sP40(sK92)
| spl93_102 ),
inference(resolution,[],[f1330,f233]) ).
fof(f233,plain,
! [X0] :
( sP2(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1330,plain,
( ~ sP2(sK92)
| spl93_102 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1335,plain,
( ~ spl93_102
| ~ spl93_103
| ~ spl93_6
| ~ spl93_11 ),
inference(avatar_split_clause,[],[f1326,f443,f425,f1332,f1328]) ).
fof(f1326,plain,
( ~ r1(sK92,sK85(sK92))
| ~ sP2(sK92)
| ~ spl93_6
| ~ spl93_11 ),
inference(duplicate_literal_removal,[],[f1325]) ).
fof(f1325,plain,
( ~ r1(sK92,sK85(sK92))
| ~ sP2(sK92)
| ~ r1(sK92,sK85(sK92))
| ~ sP2(sK92)
| ~ spl93_6
| ~ spl93_11 ),
inference(resolution,[],[f1314,f1227]) ).
fof(f1227,plain,
( ! [X0] :
( r1(X0,sK86(X0))
| ~ r1(sK92,sK85(X0))
| ~ sP2(X0) )
| ~ spl93_6 ),
inference(resolution,[],[f426,f389]) ).
fof(f389,plain,
! [X0] :
( ~ p205(sK85(X0))
| r1(X0,sK86(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1314,plain,
( ! [X0] :
( ~ r1(sK92,sK86(X0))
| ~ r1(sK92,sK85(X0))
| ~ sP2(X0) )
| ~ spl93_6
| ~ spl93_11 ),
inference(resolution,[],[f444,f1228]) ).
fof(f1228,plain,
( ! [X0] :
( ~ p305(sK86(X0))
| ~ r1(sK92,sK85(X0))
| ~ sP2(X0) )
| ~ spl93_6 ),
inference(resolution,[],[f426,f390]) ).
fof(f390,plain,
! [X0] :
( ~ p205(sK85(X0))
| ~ p305(sK86(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1324,plain,
( ~ spl93_11
| ~ spl93_57
| spl93_58 ),
inference(avatar_contradiction_clause,[],[f1323]) ).
fof(f1323,plain,
( $false
| ~ spl93_11
| ~ spl93_57
| spl93_58 ),
inference(subsumption_resolution,[],[f1322,f774]) ).
fof(f774,plain,
( r1(sK92,sK67(sK92))
| ~ spl93_57 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f772,plain,
( spl93_57
<=> r1(sK92,sK67(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_57])]) ).
fof(f1322,plain,
( ~ r1(sK92,sK67(sK92))
| ~ spl93_11
| spl93_58 ),
inference(resolution,[],[f779,f444]) ).
fof(f779,plain,
( ~ p305(sK67(sK92))
| spl93_58 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl93_58
<=> p305(sK67(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_58])]) ).
fof(f1321,plain,
( ~ spl93_31
| spl93_97 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| ~ spl93_31
| spl93_97 ),
inference(subsumption_resolution,[],[f1319,f531]) ).
fof(f1319,plain,
( ~ sP40(sK92)
| spl93_97 ),
inference(resolution,[],[f1209,f267]) ).
fof(f267,plain,
! [X0] :
( sP34(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1209,plain,
( ~ sP34(sK92)
| spl93_97 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1318,plain,
( ~ spl93_31
| spl93_95 ),
inference(avatar_contradiction_clause,[],[f1317]) ).
fof(f1317,plain,
( $false
| ~ spl93_31
| spl93_95 ),
inference(subsumption_resolution,[],[f1316,f531]) ).
fof(f1316,plain,
( ~ sP40(sK92)
| spl93_95 ),
inference(resolution,[],[f1200,f263]) ).
fof(f263,plain,
! [X0] :
( sP30(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1200,plain,
( ~ sP30(sK92)
| spl93_95 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f1308,plain,
( ~ spl93_13
| ~ spl93_28
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1307,plain,
( $false
| ~ spl93_13
| ~ spl93_28
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1306,f531]) ).
fof(f1306,plain,
( ~ sP40(sK92)
| ~ spl93_13
| ~ spl93_28 ),
inference(subsumption_resolution,[],[f1305,f513]) ).
fof(f1305,plain,
( ~ p603(sK92)
| ~ sP40(sK92)
| ~ spl93_13 ),
inference(resolution,[],[f451,f257]) ).
fof(f257,plain,
! [X0] :
( ~ p303(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1300,plain,
( ~ spl93_54
| ~ spl93_6
| spl93_55 ),
inference(avatar_split_clause,[],[f1297,f763,f425,f758]) ).
fof(f758,plain,
( spl93_54
<=> r1(sK92,sK65(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_54])]) ).
fof(f763,plain,
( spl93_55
<=> p205(sK65(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_55])]) ).
fof(f1297,plain,
( ~ r1(sK92,sK65(sK92))
| ~ spl93_6
| spl93_55 ),
inference(resolution,[],[f765,f426]) ).
fof(f765,plain,
( ~ p205(sK65(sK92))
| spl93_55 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1284,plain,
( ~ spl93_19
| ~ spl93_14
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1283,f530,f453,f473]) ).
fof(f453,plain,
( spl93_14
<=> p302(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_14])]) ).
fof(f1283,plain,
( ~ p402(sK92)
| ~ spl93_14
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1219,f531]) ).
fof(f1219,plain,
( ~ p402(sK92)
| ~ sP40(sK92)
| ~ spl93_14 ),
inference(resolution,[],[f455,f274]) ).
fof(f274,plain,
! [X0] :
( ~ p302(X0)
| ~ p402(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f455,plain,
( p302(sK92)
| ~ spl93_14 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f1282,plain,
( ~ spl93_18
| ~ spl93_23
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| ~ spl93_18
| ~ spl93_23
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1280,f531]) ).
fof(f1280,plain,
( ~ sP40(sK92)
| ~ spl93_18
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f1278,f492]) ).
fof(f1278,plain,
( ~ p503(sK92)
| ~ sP40(sK92)
| ~ spl93_18 ),
inference(resolution,[],[f471,f256]) ).
fof(f256,plain,
! [X0] :
( ~ p403(X0)
| ~ p503(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1275,plain,
( ~ spl93_69
| ~ spl93_2
| spl93_70 ),
inference(avatar_split_clause,[],[f1272,f893,f411,f888]) ).
fof(f888,plain,
( spl93_69
<=> r1(sK92,sK54(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_69])]) ).
fof(f411,plain,
( spl93_2
<=> ! [X4] :
( p104(X4)
| ~ r1(sK92,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_2])]) ).
fof(f893,plain,
( spl93_70
<=> p104(sK54(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_70])]) ).
fof(f1272,plain,
( ~ r1(sK92,sK54(sK92))
| ~ spl93_2
| spl93_70 ),
inference(resolution,[],[f895,f412]) ).
fof(f412,plain,
( ! [X4] :
( p104(X4)
| ~ r1(sK92,X4) )
| ~ spl93_2 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f895,plain,
( ~ p104(sK54(sK92))
| spl93_70 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f1265,plain,
( ~ spl93_31
| spl93_100 ),
inference(avatar_contradiction_clause,[],[f1264]) ).
fof(f1264,plain,
( $false
| ~ spl93_31
| spl93_100 ),
inference(subsumption_resolution,[],[f1263,f531]) ).
fof(f1263,plain,
( ~ sP40(sK92)
| spl93_100 ),
inference(resolution,[],[f1251,f232]) ).
fof(f232,plain,
! [X0] :
( sP1(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1251,plain,
( ~ sP1(sK92)
| spl93_100 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1249,plain,
( spl93_100
<=> sP1(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_100])]) ).
fof(f1260,plain,
( ~ spl93_100
| spl93_101
| spl93_99 ),
inference(avatar_split_clause,[],[f1254,f1245,f1256,f1249]) ).
fof(f1256,plain,
( spl93_101
<=> r1(sK92,sK87(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_101])]) ).
fof(f1245,plain,
( spl93_99
<=> r1(sK92,sK88(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_99])]) ).
fof(f1254,plain,
( r1(sK92,sK87(sK92))
| ~ sP1(sK92)
| spl93_99 ),
inference(resolution,[],[f1247,f391]) ).
fof(f391,plain,
! [X0] :
( r1(X0,sK88(X0))
| r1(X0,sK87(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ( ~ p205(sK87(X0))
& r1(X0,sK87(X0)) )
| ( ~ p405(sK88(X0))
& r1(X0,sK88(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88])],[f212,f214,f213]) ).
fof(f213,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK87(X0))
& r1(X0,sK87(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
! [X0] :
( ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
=> ( ~ p405(sK88(X0))
& r1(X0,sK88(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
| ~ sP1(X0) ),
inference(rectify,[],[f211]) ).
fof(f211,plain,
! [X12] :
( ? [X53] :
( ~ p205(X53)
& r1(X12,X53) )
| ? [X54] :
( ~ p405(X54)
& r1(X12,X54) )
| ~ sP1(X12) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X12] :
( ? [X53] :
( ~ p205(X53)
& r1(X12,X53) )
| ? [X54] :
( ~ p405(X54)
& r1(X12,X54) )
| ~ sP1(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1247,plain,
( ~ r1(sK92,sK88(sK92))
| spl93_99 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1259,plain,
( ~ spl93_100
| ~ spl93_101
| ~ spl93_6
| spl93_99 ),
inference(avatar_split_clause,[],[f1253,f1245,f425,f1256,f1249]) ).
fof(f1253,plain,
( ~ r1(sK92,sK87(sK92))
| ~ sP1(sK92)
| ~ spl93_6
| spl93_99 ),
inference(resolution,[],[f1247,f1229]) ).
fof(f1229,plain,
( ! [X0] :
( r1(X0,sK88(X0))
| ~ r1(sK92,sK87(X0))
| ~ sP1(X0) )
| ~ spl93_6 ),
inference(resolution,[],[f426,f393]) ).
fof(f393,plain,
! [X0] :
( ~ p205(sK87(X0))
| r1(X0,sK88(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1252,plain,
( ~ spl93_99
| ~ spl93_100
| ~ spl93_6
| ~ spl93_16 ),
inference(avatar_split_clause,[],[f1243,f462,f425,f1249,f1245]) ).
fof(f1243,plain,
( ~ sP1(sK92)
| ~ r1(sK92,sK88(sK92))
| ~ spl93_6
| ~ spl93_16 ),
inference(subsumption_resolution,[],[f1242,f463]) ).
fof(f1242,plain,
( ~ sP1(sK92)
| ~ r1(sK92,sK88(sK92))
| ~ p405(sK88(sK92))
| ~ spl93_6
| ~ spl93_16 ),
inference(duplicate_literal_removal,[],[f1241]) ).
fof(f1241,plain,
( ~ sP1(sK92)
| ~ r1(sK92,sK88(sK92))
| ~ p405(sK88(sK92))
| ~ sP1(sK92)
| ~ spl93_6
| ~ spl93_16 ),
inference(resolution,[],[f1239,f392]) ).
fof(f392,plain,
! [X0] :
( r1(X0,sK87(X0))
| ~ p405(sK88(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1239,plain,
( ! [X0] :
( ~ r1(sK92,sK87(X0))
| ~ sP1(X0)
| ~ r1(sK92,sK88(X0)) )
| ~ spl93_6
| ~ spl93_16 ),
inference(resolution,[],[f1230,f463]) ).
fof(f1230,plain,
( ! [X0] :
( ~ p405(sK88(X0))
| ~ r1(sK92,sK87(X0))
| ~ sP1(X0) )
| ~ spl93_6 ),
inference(resolution,[],[f426,f394]) ).
fof(f394,plain,
! [X0] :
( ~ p205(sK87(X0))
| ~ p405(sK88(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1236,plain,
( ~ spl93_49
| ~ spl93_2
| spl93_50 ),
inference(avatar_split_clause,[],[f1231,f729,f411,f724]) ).
fof(f724,plain,
( spl93_49
<=> r1(sK92,sK56(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_49])]) ).
fof(f729,plain,
( spl93_50
<=> p104(sK56(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_50])]) ).
fof(f1231,plain,
( ~ r1(sK92,sK56(sK92))
| ~ spl93_2
| spl93_50 ),
inference(resolution,[],[f731,f412]) ).
fof(f731,plain,
( ~ p104(sK56(sK92))
| spl93_50 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f1235,plain,
( ~ spl93_29
| ~ spl93_14
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1234,f530,f453,f515]) ).
fof(f1234,plain,
( ~ p602(sK92)
| ~ spl93_14
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1221,f531]) ).
fof(f1221,plain,
( ~ p602(sK92)
| ~ sP40(sK92)
| ~ spl93_14 ),
inference(resolution,[],[f455,f272]) ).
fof(f272,plain,
! [X0] :
( ~ p302(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1217,plain,
( ~ spl93_13
| ~ spl93_23
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| ~ spl93_13
| ~ spl93_23
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1215,f531]) ).
fof(f1215,plain,
( ~ sP40(sK92)
| ~ spl93_13
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f1195,f492]) ).
fof(f1195,plain,
( ~ p503(sK92)
| ~ sP40(sK92)
| ~ spl93_13 ),
inference(resolution,[],[f451,f258]) ).
fof(f258,plain,
! [X0] :
( ~ p303(X0)
| ~ p503(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1214,plain,
( ~ spl93_97
| spl93_98
| ~ spl93_13 ),
inference(avatar_split_clause,[],[f1193,f449,f1211,f1207]) ).
fof(f1193,plain,
( r1(sK92,sK46(sK92))
| ~ sP34(sK92)
| ~ spl93_13 ),
inference(resolution,[],[f451,f309]) ).
fof(f309,plain,
! [X0] :
( ~ p303(X0)
| r1(X0,sK46(X0))
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f1205,plain,
( ~ spl93_95
| spl93_96
| ~ spl93_13 ),
inference(avatar_split_clause,[],[f1192,f449,f1202,f1198]) ).
fof(f1192,plain,
( r1(sK92,sK50(sK92))
| ~ sP30(sK92)
| ~ spl93_13 ),
inference(resolution,[],[f451,f317]) ).
fof(f317,plain,
! [X0] :
( ~ p303(X0)
| r1(X0,sK50(X0))
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f1191,plain,
( ~ spl93_93
| ~ spl93_2
| spl93_94 ),
inference(avatar_split_clause,[],[f1188,f1181,f411,f1176]) ).
fof(f1176,plain,
( spl93_93
<=> r1(sK92,sK75(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_93])]) ).
fof(f1181,plain,
( spl93_94
<=> p104(sK75(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_94])]) ).
fof(f1188,plain,
( ~ r1(sK92,sK75(sK92))
| ~ spl93_2
| spl93_94 ),
inference(resolution,[],[f1183,f412]) ).
fof(f1183,plain,
( ~ p104(sK75(sK92))
| spl93_94 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1187,plain,
( ~ spl93_31
| spl93_92 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1186,plain,
( $false
| ~ spl93_31
| spl93_92 ),
inference(subsumption_resolution,[],[f1185,f531]) ).
fof(f1185,plain,
( ~ sP40(sK92)
| spl93_92 ),
inference(resolution,[],[f1171,f252]) ).
fof(f252,plain,
! [X0] :
( sP7(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1171,plain,
( ~ sP7(sK92)
| spl93_92 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1169,plain,
( spl93_92
<=> sP7(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_92])]) ).
fof(f1184,plain,
( ~ spl93_92
| ~ spl93_94
| spl93_91 ),
inference(avatar_split_clause,[],[f1174,f1165,f1181,f1169]) ).
fof(f1165,plain,
( spl93_91
<=> r1(sK92,sK76(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_91])]) ).
fof(f1174,plain,
( ~ p104(sK75(sK92))
| ~ sP7(sK92)
| spl93_91 ),
inference(resolution,[],[f1167,f369]) ).
fof(f369,plain,
! [X0] :
( r1(X0,sK76(X0))
| ~ p104(sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( ~ p104(sK75(X0))
& r1(X0,sK75(X0)) )
| ( ~ p304(sK76(X0))
& r1(X0,sK76(X0)) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76])],[f182,f184,f183]) ).
fof(f183,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK75(X0))
& r1(X0,sK75(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0] :
( ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
=> ( ~ p304(sK76(X0))
& r1(X0,sK76(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
| ~ sP7(X0) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X12] :
( ? [X30] :
( ~ p104(X30)
& r1(X12,X30) )
| ? [X31] :
( ~ p304(X31)
& r1(X12,X31) )
| ~ sP7(X12) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X12] :
( ? [X30] :
( ~ p104(X30)
& r1(X12,X30) )
| ? [X31] :
( ~ p304(X31)
& r1(X12,X31) )
| ~ sP7(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1167,plain,
( ~ r1(sK92,sK76(sK92))
| spl93_91 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1179,plain,
( ~ spl93_92
| spl93_93
| spl93_91 ),
inference(avatar_split_clause,[],[f1173,f1165,f1176,f1169]) ).
fof(f1173,plain,
( r1(sK92,sK75(sK92))
| ~ sP7(sK92)
| spl93_91 ),
inference(resolution,[],[f1167,f367]) ).
fof(f367,plain,
! [X0] :
( r1(X0,sK76(X0))
| r1(X0,sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f1172,plain,
( ~ spl93_91
| ~ spl93_92
| ~ spl93_2
| ~ spl93_12 ),
inference(avatar_split_clause,[],[f1163,f446,f411,f1169,f1165]) ).
fof(f1163,plain,
( ~ sP7(sK92)
| ~ r1(sK92,sK76(sK92))
| ~ spl93_2
| ~ spl93_12 ),
inference(duplicate_literal_removal,[],[f1162]) ).
fof(f1162,plain,
( ~ sP7(sK92)
| ~ r1(sK92,sK76(sK92))
| ~ r1(sK92,sK76(sK92))
| ~ sP7(sK92)
| ~ spl93_2
| ~ spl93_12 ),
inference(resolution,[],[f1161,f1158]) ).
fof(f1158,plain,
( ! [X0] :
( r1(X0,sK75(X0))
| ~ r1(sK92,sK76(X0))
| ~ sP7(X0) )
| ~ spl93_12 ),
inference(resolution,[],[f447,f368]) ).
fof(f368,plain,
! [X0] :
( ~ p304(sK76(X0))
| r1(X0,sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f1161,plain,
( ! [X0] :
( ~ r1(sK92,sK75(X0))
| ~ sP7(X0)
| ~ r1(sK92,sK76(X0)) )
| ~ spl93_2
| ~ spl93_12 ),
inference(resolution,[],[f1159,f412]) ).
fof(f1159,plain,
( ! [X0] :
( ~ p104(sK75(X0))
| ~ r1(sK92,sK76(X0))
| ~ sP7(X0) )
| ~ spl93_12 ),
inference(resolution,[],[f447,f370]) ).
fof(f370,plain,
! [X0] :
( ~ p304(sK76(X0))
| ~ p104(sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f1149,plain,
( ~ spl93_89
| ~ spl93_2
| spl93_90 ),
inference(avatar_split_clause,[],[f1146,f1139,f411,f1134]) ).
fof(f1134,plain,
( spl93_89
<=> r1(sK92,sK73(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_89])]) ).
fof(f1139,plain,
( spl93_90
<=> p104(sK73(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_90])]) ).
fof(f1146,plain,
( ~ r1(sK92,sK73(sK92))
| ~ spl93_2
| spl93_90 ),
inference(resolution,[],[f1141,f412]) ).
fof(f1141,plain,
( ~ p104(sK73(sK92))
| spl93_90 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1145,plain,
( ~ spl93_31
| spl93_88 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| ~ spl93_31
| spl93_88 ),
inference(subsumption_resolution,[],[f1143,f531]) ).
fof(f1143,plain,
( ~ sP40(sK92)
| spl93_88 ),
inference(resolution,[],[f1129,f253]) ).
fof(f253,plain,
! [X0] :
( sP8(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1129,plain,
( ~ sP8(sK92)
| spl93_88 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1127,plain,
( spl93_88
<=> sP8(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_88])]) ).
fof(f1142,plain,
( ~ spl93_88
| ~ spl93_90
| spl93_87 ),
inference(avatar_split_clause,[],[f1132,f1123,f1139,f1127]) ).
fof(f1123,plain,
( spl93_87
<=> r1(sK92,sK74(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_87])]) ).
fof(f1132,plain,
( ~ p104(sK73(sK92))
| ~ sP8(sK92)
| spl93_87 ),
inference(resolution,[],[f1125,f365]) ).
fof(f365,plain,
! [X0] :
( r1(X0,sK74(X0))
| ~ p104(sK73(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( ~ p104(sK73(X0))
& r1(X0,sK73(X0)) )
| ( ~ p204(sK74(X0))
& r1(X0,sK74(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73,sK74])],[f177,f179,f178]) ).
fof(f178,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK73(X0))
& r1(X0,sK73(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0] :
( ? [X2] :
( ~ p204(X2)
& r1(X0,X2) )
=> ( ~ p204(sK74(X0))
& r1(X0,sK74(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p204(X2)
& r1(X0,X2) )
| ~ sP8(X0) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X12] :
( ? [X28] :
( ~ p104(X28)
& r1(X12,X28) )
| ? [X29] :
( ~ p204(X29)
& r1(X12,X29) )
| ~ sP8(X12) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X12] :
( ? [X28] :
( ~ p104(X28)
& r1(X12,X28) )
| ? [X29] :
( ~ p204(X29)
& r1(X12,X29) )
| ~ sP8(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1125,plain,
( ~ r1(sK92,sK74(sK92))
| spl93_87 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1137,plain,
( ~ spl93_88
| spl93_89
| spl93_87 ),
inference(avatar_split_clause,[],[f1131,f1123,f1134,f1127]) ).
fof(f1131,plain,
( r1(sK92,sK73(sK92))
| ~ sP8(sK92)
| spl93_87 ),
inference(resolution,[],[f1125,f363]) ).
fof(f363,plain,
! [X0] :
( r1(X0,sK74(X0))
| r1(X0,sK73(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1130,plain,
( ~ spl93_87
| ~ spl93_88
| ~ spl93_2
| ~ spl93_7 ),
inference(avatar_split_clause,[],[f1121,f428,f411,f1127,f1123]) ).
fof(f1121,plain,
( ~ sP8(sK92)
| ~ r1(sK92,sK74(sK92))
| ~ spl93_2
| ~ spl93_7 ),
inference(duplicate_literal_removal,[],[f1120]) ).
fof(f1120,plain,
( ~ sP8(sK92)
| ~ r1(sK92,sK74(sK92))
| ~ r1(sK92,sK74(sK92))
| ~ sP8(sK92)
| ~ spl93_2
| ~ spl93_7 ),
inference(resolution,[],[f1119,f1115]) ).
fof(f1115,plain,
( ! [X0] :
( r1(X0,sK73(X0))
| ~ r1(sK92,sK74(X0))
| ~ sP8(X0) )
| ~ spl93_7 ),
inference(resolution,[],[f429,f364]) ).
fof(f364,plain,
! [X0] :
( ~ p204(sK74(X0))
| r1(X0,sK73(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1119,plain,
( ! [X0] :
( ~ r1(sK92,sK73(X0))
| ~ sP8(X0)
| ~ r1(sK92,sK74(X0)) )
| ~ spl93_2
| ~ spl93_7 ),
inference(resolution,[],[f1116,f412]) ).
fof(f1116,plain,
( ! [X0] :
( ~ p104(sK73(X0))
| ~ r1(sK92,sK74(X0))
| ~ sP8(X0) )
| ~ spl93_7 ),
inference(resolution,[],[f429,f366]) ).
fof(f366,plain,
! [X0] :
( ~ p204(sK74(X0))
| ~ p104(sK73(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1110,plain,
( ~ spl93_8
| ~ spl93_23
| ~ spl93_40
| ~ spl93_41 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| ~ spl93_8
| ~ spl93_23
| ~ spl93_40
| ~ spl93_41 ),
inference(subsumption_resolution,[],[f1108,f679]) ).
fof(f679,plain,
( sP28(sK92)
| ~ spl93_40 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl93_40
<=> sP28(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_40])]) ).
fof(f1108,plain,
( ~ sP28(sK92)
| ~ spl93_8
| ~ spl93_23
| ~ spl93_41 ),
inference(subsumption_resolution,[],[f1107,f492]) ).
fof(f1107,plain,
( ~ p503(sK92)
| ~ sP28(sK92)
| ~ spl93_8
| ~ spl93_41 ),
inference(resolution,[],[f684,f1021]) ).
fof(f1021,plain,
( ! [X0] :
( ~ r1(sK92,sK52(X0))
| ~ p503(X0)
| ~ sP28(X0) )
| ~ spl93_8 ),
inference(resolution,[],[f432,f322]) ).
fof(f322,plain,
! [X0] :
( ~ p203(sK52(X0))
| ~ p503(X0)
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( ~ p203(sK52(X0))
& r1(X0,sK52(X0)) )
| ~ p503(X0)
| ~ sP28(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f96,f97]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK52(X0))
& r1(X0,sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p503(X0)
| ~ sP28(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X12] :
( ? [X26] :
( ~ p203(X26)
& r1(X12,X26) )
| ~ p503(X12)
| ~ sP28(X12) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X12] :
( ? [X26] :
( ~ p203(X26)
& r1(X12,X26) )
| ~ p503(X12)
| ~ sP28(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f684,plain,
( r1(sK92,sK52(sK92))
| ~ spl93_41 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f682,plain,
( spl93_41
<=> r1(sK92,sK52(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_41])]) ).
fof(f1103,plain,
( ~ spl93_24
| ~ spl93_14
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1102,f530,f453,f494]) ).
fof(f1102,plain,
( ~ p502(sK92)
| ~ spl93_14
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1078,f531]) ).
fof(f1078,plain,
( ~ p502(sK92)
| ~ sP40(sK92)
| ~ spl93_14 ),
inference(resolution,[],[f455,f273]) ).
fof(f273,plain,
! [X0] :
( ~ p302(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1101,plain,
( ~ spl93_5
| ~ spl93_20
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1100,plain,
( $false
| ~ spl93_5
| ~ spl93_20
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1099,f531]) ).
fof(f1099,plain,
( ~ sP40(sK92)
| ~ spl93_5
| ~ spl93_20 ),
inference(subsumption_resolution,[],[f1096,f479]) ).
fof(f479,plain,
( p401(sK92)
| ~ spl93_20 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f477,plain,
( spl93_20
<=> p401(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_20])]) ).
fof(f1096,plain,
( ~ p401(sK92)
| ~ sP40(sK92)
| ~ spl93_5 ),
inference(resolution,[],[f422,f296]) ).
fof(f296,plain,
! [X0] :
( ~ p101(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1093,plain,
( ~ spl93_1
| ~ spl93_26
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1092,plain,
( $false
| ~ spl93_1
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1091,f531]) ).
fof(f1091,plain,
( ~ sP40(sK92)
| ~ spl93_1
| ~ spl93_26 ),
inference(resolution,[],[f1090,f234]) ).
fof(f234,plain,
! [X0] :
( sP16(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1090,plain,
( ~ sP16(sK92)
| ~ spl93_1
| ~ spl93_26 ),
inference(subsumption_resolution,[],[f1089,f505]) ).
fof(f505,plain,
( p605(sK92)
| ~ spl93_26 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl93_26
<=> p605(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_26])]) ).
fof(f1089,plain,
( ~ p605(sK92)
| ~ sP16(sK92)
| ~ spl93_1 ),
inference(duplicate_literal_removal,[],[f1088]) ).
fof(f1088,plain,
( ~ p605(sK92)
| ~ sP16(sK92)
| ~ p605(sK92)
| ~ sP16(sK92)
| ~ spl93_1 ),
inference(resolution,[],[f1081,f345]) ).
fof(f345,plain,
! [X0] :
( r1(X0,sK64(X0))
| ~ p605(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( ~ p105(sK64(X0))
& r1(X0,sK64(X0)) )
| ~ p605(X0)
| ~ sP16(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f144,f145]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK64(X0))
& r1(X0,sK64(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP16(X0) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X12] :
( ? [X50] :
( ~ p105(X50)
& r1(X12,X50) )
| ~ p605(X12)
| ~ sP16(X12) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X12] :
( ? [X50] :
( ~ p105(X50)
& r1(X12,X50) )
| ~ p605(X12)
| ~ sP16(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1081,plain,
( ! [X0] :
( ~ r1(sK92,sK64(X0))
| ~ p605(X0)
| ~ sP16(X0) )
| ~ spl93_1 ),
inference(resolution,[],[f409,f346]) ).
fof(f346,plain,
! [X0] :
( ~ p105(sK64(X0))
| ~ p605(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f1075,plain,
( ~ spl93_15
| ~ spl93_20
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f1074]) ).
fof(f1074,plain,
( $false
| ~ spl93_15
| ~ spl93_20
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1073,f531]) ).
fof(f1073,plain,
( ~ sP40(sK92)
| ~ spl93_15
| ~ spl93_20 ),
inference(subsumption_resolution,[],[f1070,f479]) ).
fof(f1070,plain,
( ~ p401(sK92)
| ~ sP40(sK92)
| ~ spl93_15 ),
inference(resolution,[],[f459,f289]) ).
fof(f289,plain,
! [X0] :
( ~ p301(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1069,plain,
( ~ spl93_14
| ~ spl93_4
| ~ spl93_85
| ~ spl93_86 ),
inference(avatar_split_clause,[],[f1068,f1043,f1039,f417,f453]) ).
fof(f1039,plain,
( spl93_85
<=> sP38(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_85])]) ).
fof(f1043,plain,
( spl93_86
<=> r1(sK92,sK42(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_86])]) ).
fof(f1068,plain,
( ~ p302(sK92)
| ~ spl93_4
| ~ spl93_85
| ~ spl93_86 ),
inference(subsumption_resolution,[],[f1064,f1040]) ).
fof(f1040,plain,
( sP38(sK92)
| ~ spl93_85 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1064,plain,
( ~ p302(sK92)
| ~ sP38(sK92)
| ~ spl93_4
| ~ spl93_86 ),
inference(resolution,[],[f1060,f1045]) ).
fof(f1045,plain,
( r1(sK92,sK42(sK92))
| ~ spl93_86 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1060,plain,
( ! [X0] :
( ~ r1(sK92,sK42(X0))
| ~ p302(X0)
| ~ sP38(X0) )
| ~ spl93_4 ),
inference(resolution,[],[f418,f302]) ).
fof(f302,plain,
! [X0] :
( ~ p102(sK42(X0))
| ~ p302(X0)
| ~ sP38(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( ~ p102(sK42(X0))
& r1(X0,sK42(X0)) )
| ~ p302(X0)
| ~ sP38(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f56,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK42(X0))
& r1(X0,sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p302(X0)
| ~ sP38(X0) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X12] :
( ? [X14] :
( ~ p102(X14)
& r1(X12,X14) )
| ~ p302(X12)
| ~ sP38(X12) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X12] :
( ? [X14] :
( ~ p102(X14)
& r1(X12,X14) )
| ~ p302(X12)
| ~ sP38(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f1067,plain,
( ~ spl93_4
| ~ spl93_14
| ~ spl93_85
| ~ spl93_86 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1066,plain,
( $false
| ~ spl93_4
| ~ spl93_14
| ~ spl93_85
| ~ spl93_86 ),
inference(subsumption_resolution,[],[f1065,f1040]) ).
fof(f1065,plain,
( ~ sP38(sK92)
| ~ spl93_4
| ~ spl93_14
| ~ spl93_86 ),
inference(subsumption_resolution,[],[f1064,f455]) ).
fof(f1058,plain,
( ~ spl93_3
| ~ spl93_8
| ~ spl93_32
| ~ spl93_33 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| ~ spl93_3
| ~ spl93_8
| ~ spl93_32
| ~ spl93_33 ),
inference(subsumption_resolution,[],[f1056,f595]) ).
fof(f595,plain,
( sP9(sK92)
| ~ spl93_32 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f594,plain,
( spl93_32
<=> sP9(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_32])]) ).
fof(f1056,plain,
( ~ sP9(sK92)
| ~ spl93_3
| ~ spl93_8
| ~ spl93_32
| ~ spl93_33 ),
inference(subsumption_resolution,[],[f1054,f600]) ).
fof(f600,plain,
( r1(sK92,sK71(sK92))
| ~ spl93_33 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f598,plain,
( spl93_33
<=> r1(sK92,sK71(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_33])]) ).
fof(f1054,plain,
( ~ r1(sK92,sK71(sK92))
| ~ sP9(sK92)
| ~ spl93_3
| ~ spl93_8
| ~ spl93_32
| ~ spl93_33 ),
inference(resolution,[],[f1029,f1023]) ).
fof(f1023,plain,
( ! [X0] :
( ~ r1(sK92,sK72(X0))
| ~ r1(sK92,sK71(X0))
| ~ sP9(X0) )
| ~ spl93_3
| ~ spl93_8 ),
inference(resolution,[],[f432,f560]) ).
fof(f560,plain,
( ! [X0] :
( ~ p203(sK72(X0))
| ~ r1(sK92,sK71(X0))
| ~ sP9(X0) )
| ~ spl93_3 ),
inference(resolution,[],[f415,f362]) ).
fof(f362,plain,
! [X0] :
( ~ p103(sK71(X0))
| ~ p203(sK72(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( ~ p103(sK71(X0))
& r1(X0,sK71(X0)) )
| ( ~ p203(sK72(X0))
& r1(X0,sK72(X0)) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71,sK72])],[f172,f174,f173]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK71(X0))
& r1(X0,sK71(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0] :
( ? [X2] :
( ~ p203(X2)
& r1(X0,X2) )
=> ( ~ p203(sK72(X0))
& r1(X0,sK72(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p203(X2)
& r1(X0,X2) )
| ~ sP9(X0) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X12] :
( ? [X18] :
( ~ p103(X18)
& r1(X12,X18) )
| ? [X19] :
( ~ p203(X19)
& r1(X12,X19) )
| ~ sP9(X12) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X12] :
( ? [X18] :
( ~ p103(X18)
& r1(X12,X18) )
| ? [X19] :
( ~ p203(X19)
& r1(X12,X19) )
| ~ sP9(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1029,plain,
( r1(sK92,sK72(sK92))
| ~ spl93_3
| ~ spl93_32
| ~ spl93_33 ),
inference(subsumption_resolution,[],[f1028,f595]) ).
fof(f1028,plain,
( r1(sK92,sK72(sK92))
| ~ sP9(sK92)
| ~ spl93_3
| ~ spl93_33 ),
inference(resolution,[],[f600,f559]) ).
fof(f559,plain,
( ! [X0] :
( ~ r1(sK92,sK71(X0))
| r1(X0,sK72(X0))
| ~ sP9(X0) )
| ~ spl93_3 ),
inference(resolution,[],[f415,f361]) ).
fof(f361,plain,
! [X0] :
( ~ p103(sK71(X0))
| r1(X0,sK72(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f1049,plain,
( ~ spl93_31
| spl93_85 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1048,plain,
( $false
| ~ spl93_31
| spl93_85 ),
inference(subsumption_resolution,[],[f1047,f531]) ).
fof(f1047,plain,
( ~ sP40(sK92)
| spl93_85 ),
inference(resolution,[],[f1041,f282]) ).
fof(f282,plain,
! [X0] :
( sP38(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1041,plain,
( ~ sP38(sK92)
| spl93_85 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1046,plain,
( ~ spl93_85
| spl93_86
| ~ spl93_14 ),
inference(avatar_split_clause,[],[f1034,f453,f1043,f1039]) ).
fof(f1034,plain,
( r1(sK92,sK42(sK92))
| ~ sP38(sK92)
| ~ spl93_14 ),
inference(resolution,[],[f455,f301]) ).
fof(f301,plain,
! [X0] :
( ~ p302(X0)
| r1(X0,sK42(X0))
| ~ sP38(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1033,plain,
( ~ spl93_22
| ~ spl93_83
| spl93_84 ),
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1032,plain,
( $false
| ~ spl93_22
| ~ spl93_83
| spl93_84 ),
inference(subsumption_resolution,[],[f1031,f1006]) ).
fof(f1006,plain,
( sP19(sK92)
| ~ spl93_83 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1005,plain,
( spl93_83
<=> sP19(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_83])]) ).
fof(f1031,plain,
( ~ sP19(sK92)
| ~ spl93_22
| spl93_84 ),
inference(subsumption_resolution,[],[f1030,f488]) ).
fof(f488,plain,
( p504(sK92)
| ~ spl93_22 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f1030,plain,
( ~ p504(sK92)
| ~ sP19(sK92)
| spl93_84 ),
inference(resolution,[],[f1011,f339]) ).
fof(f339,plain,
! [X0] :
( r1(X0,sK61(X0))
| ~ p504(X0)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( ~ p304(sK61(X0))
& r1(X0,sK61(X0)) )
| ~ p504(X0)
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f132,f133]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK61(X0))
& r1(X0,sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ~ p504(X0)
| ~ sP19(X0) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X12] :
( ? [X41] :
( ~ p304(X41)
& r1(X12,X41) )
| ~ p504(X12)
| ~ sP19(X12) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X12] :
( ? [X41] :
( ~ p304(X41)
& r1(X12,X41) )
| ~ p504(X12)
| ~ sP19(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1011,plain,
( ~ r1(sK92,sK61(sK92))
| spl93_84 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl93_84
<=> r1(sK92,sK61(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_84])]) ).
fof(f1027,plain,
( ~ spl93_31
| spl93_83 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1026,plain,
( $false
| ~ spl93_31
| spl93_83 ),
inference(subsumption_resolution,[],[f1025,f531]) ).
fof(f1025,plain,
( ~ sP40(sK92)
| spl93_83 ),
inference(resolution,[],[f1007,f243]) ).
fof(f243,plain,
! [X0] :
( sP19(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1007,plain,
( ~ sP19(sK92)
| spl93_83 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1012,plain,
( ~ spl93_83
| ~ spl93_84
| ~ spl93_12
| ~ spl93_22 ),
inference(avatar_split_clause,[],[f1001,f486,f446,f1009,f1005]) ).
fof(f1001,plain,
( ~ r1(sK92,sK61(sK92))
| ~ sP19(sK92)
| ~ spl93_12
| ~ spl93_22 ),
inference(resolution,[],[f488,f820]) ).
fof(f820,plain,
( ! [X0] :
( ~ p504(X0)
| ~ r1(sK92,sK61(X0))
| ~ sP19(X0) )
| ~ spl93_12 ),
inference(resolution,[],[f447,f340]) ).
fof(f340,plain,
! [X0] :
( ~ p304(sK61(X0))
| ~ p504(X0)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f1000,plain,
( ~ spl93_30
| ~ spl93_20
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f999,f530,f477,f519]) ).
fof(f999,plain,
( ~ p601(sK92)
| ~ spl93_20
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f998,f531]) ).
fof(f998,plain,
( ~ p601(sK92)
| ~ sP40(sK92)
| ~ spl93_20 ),
inference(resolution,[],[f479,f285]) ).
fof(f285,plain,
! [X0] :
( ~ p401(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f996,plain,
( ~ spl93_30
| ~ spl93_25
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f995,f530,f498,f519]) ).
fof(f995,plain,
( ~ p601(sK92)
| ~ spl93_25
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f846,f531]) ).
fof(f846,plain,
( ~ p601(sK92)
| ~ sP40(sK92)
| ~ spl93_25 ),
inference(resolution,[],[f500,f284]) ).
fof(f284,plain,
! [X0] :
( ~ p501(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f994,plain,
( ~ spl93_31
| spl93_81 ),
inference(avatar_contradiction_clause,[],[f993]) ).
fof(f993,plain,
( $false
| ~ spl93_31
| spl93_81 ),
inference(subsumption_resolution,[],[f992,f531]) ).
fof(f992,plain,
( ~ sP40(sK92)
| spl93_81 ),
inference(resolution,[],[f983,f279]) ).
fof(f279,plain,
! [X0] :
( sP35(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f983,plain,
( ~ sP35(sK92)
| spl93_81 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f991,plain,
( ~ spl93_31
| spl93_79 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f990,plain,
( $false
| ~ spl93_31
| spl93_79 ),
inference(subsumption_resolution,[],[f989,f531]) ).
fof(f989,plain,
( ~ sP40(sK92)
| spl93_79 ),
inference(resolution,[],[f968,f264]) ).
fof(f264,plain,
! [X0] :
( sP31(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f968,plain,
( ~ sP31(sK92)
| spl93_79 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f988,plain,
( ~ spl93_81
| spl93_82
| ~ spl93_29 ),
inference(avatar_split_clause,[],[f979,f515,f985,f981]) ).
fof(f979,plain,
( r1(sK92,sK45(sK92))
| ~ sP35(sK92)
| ~ spl93_29 ),
inference(resolution,[],[f517,f307]) ).
fof(f307,plain,
! [X0] :
( ~ p602(X0)
| r1(X0,sK45(X0))
| ~ sP35(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f978,plain,
( ~ spl93_31
| spl93_77 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f977,plain,
( $false
| ~ spl93_31
| spl93_77 ),
inference(subsumption_resolution,[],[f976,f531]) ).
fof(f976,plain,
( ~ sP40(sK92)
| spl93_77 ),
inference(resolution,[],[f959,f260]) ).
fof(f260,plain,
! [X0] :
( sP27(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f959,plain,
( ~ sP27(sK92)
| spl93_77 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f973,plain,
( ~ spl93_79
| spl93_80
| ~ spl93_28 ),
inference(avatar_split_clause,[],[f955,f511,f970,f966]) ).
fof(f955,plain,
( r1(sK92,sK49(sK92))
| ~ sP31(sK92)
| ~ spl93_28 ),
inference(resolution,[],[f513,f315]) ).
fof(f315,plain,
! [X0] :
( ~ p603(X0)
| r1(X0,sK49(X0))
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f964,plain,
( ~ spl93_77
| spl93_78
| ~ spl93_28 ),
inference(avatar_split_clause,[],[f954,f511,f961,f957]) ).
fof(f954,plain,
( r1(sK92,sK53(sK92))
| ~ sP27(sK92)
| ~ spl93_28 ),
inference(resolution,[],[f513,f323]) ).
fof(f323,plain,
! [X0] :
( ~ p603(X0)
| r1(X0,sK53(X0))
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f953,plain,
( ~ spl93_20
| ~ spl93_25
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f952,plain,
( $false
| ~ spl93_20
| ~ spl93_25
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f951,f531]) ).
fof(f951,plain,
( ~ sP40(sK92)
| ~ spl93_20
| ~ spl93_25 ),
inference(subsumption_resolution,[],[f949,f500]) ).
fof(f949,plain,
( ~ p501(sK92)
| ~ sP40(sK92)
| ~ spl93_20 ),
inference(resolution,[],[f479,f286]) ).
fof(f286,plain,
! [X0] :
( ~ p401(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f948,plain,
( ~ spl93_31
| spl93_75 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f947,plain,
( $false
| ~ spl93_31
| spl93_75 ),
inference(subsumption_resolution,[],[f946,f531]) ).
fof(f946,plain,
( ~ sP40(sK92)
| spl93_75 ),
inference(resolution,[],[f937,f281]) ).
fof(f281,plain,
! [X0] :
( sP37(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f937,plain,
( ~ sP37(sK92)
| spl93_75 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f945,plain,
( ~ spl93_31
| spl93_73 ),
inference(avatar_contradiction_clause,[],[f944]) ).
fof(f944,plain,
( $false
| ~ spl93_31
| spl93_73 ),
inference(subsumption_resolution,[],[f943,f531]) ).
fof(f943,plain,
( ~ sP40(sK92)
| spl93_73 ),
inference(resolution,[],[f916,f266]) ).
fof(f266,plain,
! [X0] :
( sP33(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f916,plain,
( ~ sP33(sK92)
| spl93_73 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f942,plain,
( ~ spl93_75
| spl93_76
| ~ spl93_19 ),
inference(avatar_split_clause,[],[f931,f473,f939,f935]) ).
fof(f931,plain,
( r1(sK92,sK43(sK92))
| ~ sP37(sK92)
| ~ spl93_19 ),
inference(resolution,[],[f475,f303]) ).
fof(f303,plain,
! [X0] :
( ~ p402(X0)
| r1(X0,sK43(X0))
| ~ sP37(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f930,plain,
( ~ spl93_31
| spl93_71 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f929,plain,
( $false
| ~ spl93_31
| spl93_71 ),
inference(subsumption_resolution,[],[f928,f531]) ).
fof(f928,plain,
( ~ sP40(sK92)
| spl93_71 ),
inference(resolution,[],[f907,f262]) ).
fof(f262,plain,
! [X0] :
( sP29(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f907,plain,
( ~ sP29(sK92)
| spl93_71 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f927,plain,
( ~ spl93_31
| spl93_68 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f926,plain,
( $false
| ~ spl93_31
| spl93_68 ),
inference(subsumption_resolution,[],[f925,f531]) ).
fof(f925,plain,
( ~ sP40(sK92)
| spl93_68 ),
inference(resolution,[],[f886,f251]) ).
fof(f251,plain,
! [X0] :
( sP26(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f886,plain,
( ~ sP26(sK92)
| spl93_68 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl93_68
<=> sP26(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_68])]) ).
fof(f924,plain,
( ~ spl93_31
| spl93_66 ),
inference(avatar_contradiction_clause,[],[f923]) ).
fof(f923,plain,
( $false
| ~ spl93_31
| spl93_66 ),
inference(subsumption_resolution,[],[f922,f531]) ).
fof(f922,plain,
( ~ sP40(sK92)
| spl93_66 ),
inference(resolution,[],[f877,f247]) ).
fof(f247,plain,
! [X0] :
( sP23(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f877,plain,
( ~ sP23(sK92)
| spl93_66 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f921,plain,
( ~ spl93_73
| spl93_74
| ~ spl93_18 ),
inference(avatar_split_clause,[],[f901,f469,f918,f914]) ).
fof(f901,plain,
( r1(sK92,sK47(sK92))
| ~ sP33(sK92)
| ~ spl93_18 ),
inference(resolution,[],[f471,f311]) ).
fof(f311,plain,
! [X0] :
( ~ p403(X0)
| r1(X0,sK47(X0))
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f912,plain,
( ~ spl93_71
| spl93_72
| ~ spl93_18 ),
inference(avatar_split_clause,[],[f900,f469,f909,f905]) ).
fof(f900,plain,
( r1(sK92,sK51(sK92))
| ~ sP29(sK92)
| ~ spl93_18 ),
inference(resolution,[],[f471,f319]) ).
fof(f319,plain,
! [X0] :
( ~ p403(X0)
| r1(X0,sK51(X0))
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f899,plain,
( ~ spl93_31
| spl93_64 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl93_31
| spl93_64 ),
inference(subsumption_resolution,[],[f897,f531]) ).
fof(f897,plain,
( ~ sP40(sK92)
| spl93_64 ),
inference(resolution,[],[f868,f244]) ).
fof(f244,plain,
! [X0] :
( sP20(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f868,plain,
( ~ sP20(sK92)
| spl93_64 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f896,plain,
( ~ spl93_68
| ~ spl93_70
| ~ spl93_17 ),
inference(avatar_split_clause,[],[f862,f465,f893,f884]) ).
fof(f862,plain,
( ~ p104(sK54(sK92))
| ~ sP26(sK92)
| ~ spl93_17 ),
inference(resolution,[],[f467,f326]) ).
fof(f326,plain,
! [X0] :
( ~ p404(X0)
| ~ p104(sK54(X0))
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( ~ p104(sK54(X0))
& r1(X0,sK54(X0)) )
| ~ p404(X0)
| ~ sP26(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f104,f105]) ).
fof(f105,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK54(X0))
& r1(X0,sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ~ p404(X0)
| ~ sP26(X0) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X12] :
( ? [X32] :
( ~ p104(X32)
& r1(X12,X32) )
| ~ p404(X12)
| ~ sP26(X12) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X12] :
( ? [X32] :
( ~ p104(X32)
& r1(X12,X32) )
| ~ p404(X12)
| ~ sP26(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f891,plain,
( ~ spl93_68
| spl93_69
| ~ spl93_17 ),
inference(avatar_split_clause,[],[f861,f465,f888,f884]) ).
fof(f861,plain,
( r1(sK92,sK54(sK92))
| ~ sP26(sK92)
| ~ spl93_17 ),
inference(resolution,[],[f467,f325]) ).
fof(f325,plain,
! [X0] :
( ~ p404(X0)
| r1(X0,sK54(X0))
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f882,plain,
( ~ spl93_66
| spl93_67
| ~ spl93_17 ),
inference(avatar_split_clause,[],[f860,f465,f879,f875]) ).
fof(f860,plain,
( r1(sK92,sK57(sK92))
| ~ sP23(sK92)
| ~ spl93_17 ),
inference(resolution,[],[f467,f331]) ).
fof(f331,plain,
! [X0] :
( ~ p404(X0)
| r1(X0,sK57(X0))
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f873,plain,
( ~ spl93_64
| spl93_65
| ~ spl93_17 ),
inference(avatar_split_clause,[],[f859,f465,f870,f866]) ).
fof(f859,plain,
( r1(sK92,sK60(sK92))
| ~ sP20(sK92)
| ~ spl93_17 ),
inference(resolution,[],[f467,f337]) ).
fof(f337,plain,
! [X0] :
( ~ p404(X0)
| r1(X0,sK60(X0))
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f858,plain,
( ~ spl93_16
| ~ spl93_26
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f857,plain,
( $false
| ~ spl93_16
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f856,f531]) ).
fof(f856,plain,
( ~ sP40(sK92)
| ~ spl93_16
| ~ spl93_26
| ~ spl93_31 ),
inference(resolution,[],[f855,f225]) ).
fof(f225,plain,
! [X0] :
( sP10(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f855,plain,
( ~ sP10(sK92)
| ~ spl93_16
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f854,f505]) ).
fof(f854,plain,
( ~ sP10(sK92)
| ~ p605(sK92)
| ~ spl93_16
| ~ spl93_26
| ~ spl93_31 ),
inference(resolution,[],[f816,f537]) ).
fof(f537,plain,
( ! [X0] :
( ~ r1(sK92,sK70(X0))
| ~ sP10(X0)
| ~ p605(X0) )
| ~ spl93_16 ),
inference(resolution,[],[f358,f463]) ).
fof(f358,plain,
! [X0] :
( ~ p405(sK70(X0))
| ~ p605(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( ~ p405(sK70(X0))
& r1(X0,sK70(X0)) )
| ~ p605(X0)
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f168,f169]) ).
fof(f169,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
=> ( ~ p405(sK70(X0))
& r1(X0,sK70(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP10(X0) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X12] :
( ? [X62] :
( ~ p405(X62)
& r1(X12,X62) )
| ~ p605(X12)
| ~ sP10(X12) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X12] :
( ? [X62] :
( ~ p405(X62)
& r1(X12,X62) )
| ~ p605(X12)
| ~ sP10(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f816,plain,
( r1(sK92,sK70(sK92))
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f813,f531]) ).
fof(f813,plain,
( r1(sK92,sK70(sK92))
| ~ sP40(sK92)
| ~ spl93_26 ),
inference(resolution,[],[f505,f541]) ).
fof(f541,plain,
! [X0] :
( ~ p605(X0)
| r1(X0,sK70(X0))
| ~ sP40(X0) ),
inference(resolution,[],[f357,f225]) ).
fof(f357,plain,
! [X0] :
( ~ sP10(X0)
| ~ p605(X0)
| r1(X0,sK70(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f845,plain,
( ~ spl93_31
| spl93_62 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f844,plain,
( $false
| ~ spl93_31
| spl93_62 ),
inference(subsumption_resolution,[],[f843,f531]) ).
fof(f843,plain,
( ~ sP40(sK92)
| spl93_62 ),
inference(resolution,[],[f807,f280]) ).
fof(f280,plain,
! [X0] :
( sP36(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f807,plain,
( ~ sP36(sK92)
| spl93_62 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f842,plain,
( ~ spl93_31
| spl93_59 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| ~ spl93_31
| spl93_59 ),
inference(subsumption_resolution,[],[f840,f531]) ).
fof(f840,plain,
( ~ sP40(sK92)
| spl93_59 ),
inference(resolution,[],[f784,f226]) ).
fof(f226,plain,
! [X0] :
( sP11(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f784,plain,
( ~ sP11(sK92)
| spl93_59 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f782,plain,
( spl93_59
<=> sP11(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_59])]) ).
fof(f839,plain,
( ~ spl93_31
| spl93_56 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f838,plain,
( $false
| ~ spl93_31
| spl93_56 ),
inference(subsumption_resolution,[],[f837,f531]) ).
fof(f837,plain,
( ~ sP40(sK92)
| spl93_56 ),
inference(resolution,[],[f770,f228]) ).
fof(f228,plain,
! [X0] :
( sP13(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f770,plain,
( ~ sP13(sK92)
| spl93_56 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl93_56
<=> sP13(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_56])]) ).
fof(f836,plain,
( ~ spl93_31
| spl93_53 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f835,plain,
( $false
| ~ spl93_31
| spl93_53 ),
inference(subsumption_resolution,[],[f834,f531]) ).
fof(f834,plain,
( ~ sP40(sK92)
| spl93_53 ),
inference(resolution,[],[f756,f231]) ).
fof(f231,plain,
! [X0] :
( sP15(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f756,plain,
( ~ sP15(sK92)
| spl93_53 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f754,plain,
( spl93_53
<=> sP15(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_53])]) ).
fof(f833,plain,
( ~ spl93_31
| spl93_51 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f832,plain,
( $false
| ~ spl93_31
| spl93_51 ),
inference(subsumption_resolution,[],[f831,f531]) ).
fof(f831,plain,
( ~ sP40(sK92)
| spl93_51 ),
inference(resolution,[],[f747,f235]) ).
fof(f235,plain,
! [X0] :
( sP17(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f747,plain,
( ~ sP17(sK92)
| spl93_51 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f830,plain,
( ~ spl93_31
| spl93_48 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f829,plain,
( $false
| ~ spl93_31
| spl93_48 ),
inference(subsumption_resolution,[],[f828,f531]) ).
fof(f828,plain,
( ~ sP40(sK92)
| spl93_48 ),
inference(resolution,[],[f722,f249]) ).
fof(f249,plain,
! [X0] :
( sP24(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f722,plain,
( ~ sP24(sK92)
| spl93_48 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f720,plain,
( spl93_48
<=> sP24(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_48])]) ).
fof(f827,plain,
( ~ spl93_31
| spl93_46 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f826,plain,
( $false
| ~ spl93_31
| spl93_46 ),
inference(subsumption_resolution,[],[f825,f531]) ).
fof(f825,plain,
( ~ sP40(sK92)
| spl93_46 ),
inference(resolution,[],[f713,f245]) ).
fof(f245,plain,
! [X0] :
( sP21(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f713,plain,
( ~ sP21(sK92)
| spl93_46 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f812,plain,
( ~ spl93_62
| spl93_63
| ~ spl93_24 ),
inference(avatar_split_clause,[],[f802,f494,f809,f805]) ).
fof(f802,plain,
( r1(sK92,sK44(sK92))
| ~ sP36(sK92)
| ~ spl93_24 ),
inference(resolution,[],[f496,f305]) ).
fof(f305,plain,
! [X0] :
( ~ p502(X0)
| r1(X0,sK44(X0))
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f801,plain,
( ~ spl93_21
| ~ spl93_26
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f562,f530,f503,f482]) ).
fof(f562,plain,
( ~ p605(sK92)
| ~ p505(sK92)
| ~ spl93_31 ),
inference(resolution,[],[f531,f224]) ).
fof(f224,plain,
! [X0] :
( ~ sP40(X0)
| ~ p605(X0)
| ~ p505(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f800,plain,
( ~ spl93_31
| spl93_44 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl93_31
| spl93_44 ),
inference(subsumption_resolution,[],[f798,f531]) ).
fof(f798,plain,
( ~ sP40(sK92)
| spl93_44 ),
inference(resolution,[],[f704,f242]) ).
fof(f242,plain,
! [X0] :
( sP18(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f704,plain,
( ~ sP18(sK92)
| spl93_44 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f797,plain,
( ~ spl93_31
| spl93_42 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl93_31
| spl93_42 ),
inference(subsumption_resolution,[],[f795,f531]) ).
fof(f795,plain,
( ~ sP40(sK92)
| spl93_42 ),
inference(resolution,[],[f689,f265]) ).
fof(f265,plain,
! [X0] :
( sP32(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f689,plain,
( ~ sP32(sK92)
| spl93_42 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f794,plain,
( ~ spl93_59
| ~ spl93_61
| ~ spl93_21 ),
inference(avatar_split_clause,[],[f742,f482,f791,f782]) ).
fof(f742,plain,
( ~ p405(sK69(sK92))
| ~ sP11(sK92)
| ~ spl93_21 ),
inference(resolution,[],[f484,f356]) ).
fof(f356,plain,
! [X0] :
( ~ p505(X0)
| ~ p405(sK69(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( ~ p405(sK69(X0))
& r1(X0,sK69(X0)) )
| ~ p505(X0)
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f164,f165]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
=> ( ~ p405(sK69(X0))
& r1(X0,sK69(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP11(X0) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X12] :
( ? [X61] :
( ~ p405(X61)
& r1(X12,X61) )
| ~ p505(X12)
| ~ sP11(X12) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X12] :
( ? [X61] :
( ~ p405(X61)
& r1(X12,X61) )
| ~ p505(X12)
| ~ sP11(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f789,plain,
( ~ spl93_59
| spl93_60
| ~ spl93_21 ),
inference(avatar_split_clause,[],[f741,f482,f786,f782]) ).
fof(f741,plain,
( r1(sK92,sK69(sK92))
| ~ sP11(sK92)
| ~ spl93_21 ),
inference(resolution,[],[f484,f355]) ).
fof(f355,plain,
! [X0] :
( ~ p505(X0)
| r1(X0,sK69(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f780,plain,
( ~ spl93_56
| ~ spl93_58
| ~ spl93_21 ),
inference(avatar_split_clause,[],[f740,f482,f777,f768]) ).
fof(f740,plain,
( ~ p305(sK67(sK92))
| ~ sP13(sK92)
| ~ spl93_21 ),
inference(resolution,[],[f484,f352]) ).
fof(f352,plain,
! [X0] :
( ~ p505(X0)
| ~ p305(sK67(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( ~ p305(sK67(X0))
& r1(X0,sK67(X0)) )
| ~ p505(X0)
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f156,f157]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK67(X0))
& r1(X0,sK67(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP13(X0) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X12] :
( ? [X59] :
( ~ p305(X59)
& r1(X12,X59) )
| ~ p505(X12)
| ~ sP13(X12) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X12] :
( ? [X59] :
( ~ p305(X59)
& r1(X12,X59) )
| ~ p505(X12)
| ~ sP13(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f775,plain,
( ~ spl93_56
| spl93_57
| ~ spl93_21 ),
inference(avatar_split_clause,[],[f739,f482,f772,f768]) ).
fof(f739,plain,
( r1(sK92,sK67(sK92))
| ~ sP13(sK92)
| ~ spl93_21 ),
inference(resolution,[],[f484,f351]) ).
fof(f351,plain,
! [X0] :
( ~ p505(X0)
| r1(X0,sK67(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f766,plain,
( ~ spl93_53
| ~ spl93_55
| ~ spl93_21 ),
inference(avatar_split_clause,[],[f738,f482,f763,f754]) ).
fof(f738,plain,
( ~ p205(sK65(sK92))
| ~ sP15(sK92)
| ~ spl93_21 ),
inference(resolution,[],[f484,f348]) ).
fof(f348,plain,
! [X0] :
( ~ p505(X0)
| ~ p205(sK65(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( ~ p205(sK65(X0))
& r1(X0,sK65(X0)) )
| ~ p505(X0)
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f148,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK65(X0))
& r1(X0,sK65(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP15(X0) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X12] :
( ? [X55] :
( ~ p205(X55)
& r1(X12,X55) )
| ~ p505(X12)
| ~ sP15(X12) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X12] :
( ? [X55] :
( ~ p205(X55)
& r1(X12,X55) )
| ~ p505(X12)
| ~ sP15(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f761,plain,
( ~ spl93_53
| spl93_54
| ~ spl93_21 ),
inference(avatar_split_clause,[],[f737,f482,f758,f754]) ).
fof(f737,plain,
( r1(sK92,sK65(sK92))
| ~ sP15(sK92)
| ~ spl93_21 ),
inference(resolution,[],[f484,f347]) ).
fof(f347,plain,
! [X0] :
( ~ p505(X0)
| r1(X0,sK65(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f752,plain,
( ~ spl93_51
| spl93_52
| ~ spl93_21 ),
inference(avatar_split_clause,[],[f736,f482,f749,f745]) ).
fof(f736,plain,
( r1(sK92,sK63(sK92))
| ~ sP17(sK92)
| ~ spl93_21 ),
inference(resolution,[],[f484,f343]) ).
fof(f343,plain,
! [X0] :
( ~ p505(X0)
| r1(X0,sK63(X0))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f735,plain,
( ~ spl93_31
| spl93_40 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| ~ spl93_31
| spl93_40 ),
inference(subsumption_resolution,[],[f733,f531]) ).
fof(f733,plain,
( ~ sP40(sK92)
| spl93_40 ),
inference(resolution,[],[f680,f261]) ).
fof(f261,plain,
! [X0] :
( sP28(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f680,plain,
( ~ sP28(sK92)
| spl93_40 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f732,plain,
( ~ spl93_48
| ~ spl93_50
| ~ spl93_27 ),
inference(avatar_split_clause,[],[f700,f507,f729,f720]) ).
fof(f700,plain,
( ~ p104(sK56(sK92))
| ~ sP24(sK92)
| ~ spl93_27 ),
inference(resolution,[],[f509,f330]) ).
fof(f330,plain,
! [X0] :
( ~ p604(X0)
| ~ p104(sK56(X0))
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( ~ p104(sK56(X0))
& r1(X0,sK56(X0)) )
| ~ p604(X0)
| ~ sP24(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f112,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK56(X0))
& r1(X0,sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ~ p604(X0)
| ~ sP24(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X12] :
( ? [X34] :
( ~ p104(X34)
& r1(X12,X34) )
| ~ p604(X12)
| ~ sP24(X12) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X12] :
( ? [X34] :
( ~ p104(X34)
& r1(X12,X34) )
| ~ p604(X12)
| ~ sP24(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f727,plain,
( ~ spl93_48
| spl93_49
| ~ spl93_27 ),
inference(avatar_split_clause,[],[f699,f507,f724,f720]) ).
fof(f699,plain,
( r1(sK92,sK56(sK92))
| ~ sP24(sK92)
| ~ spl93_27 ),
inference(resolution,[],[f509,f329]) ).
fof(f329,plain,
! [X0] :
( ~ p604(X0)
| r1(X0,sK56(X0))
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f718,plain,
( ~ spl93_46
| spl93_47
| ~ spl93_27 ),
inference(avatar_split_clause,[],[f698,f507,f715,f711]) ).
fof(f698,plain,
( r1(sK92,sK59(sK92))
| ~ sP21(sK92)
| ~ spl93_27 ),
inference(resolution,[],[f509,f335]) ).
fof(f335,plain,
! [X0] :
( ~ p604(X0)
| r1(X0,sK59(X0))
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f709,plain,
( ~ spl93_44
| spl93_45
| ~ spl93_27 ),
inference(avatar_split_clause,[],[f697,f507,f706,f702]) ).
fof(f697,plain,
( r1(sK92,sK62(sK92))
| ~ sP18(sK92)
| ~ spl93_27 ),
inference(resolution,[],[f509,f341]) ).
fof(f341,plain,
! [X0] :
( ~ p604(X0)
| r1(X0,sK62(X0))
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f696,plain,
( ~ spl93_28
| ~ spl93_23
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f695,f530,f490,f511]) ).
fof(f695,plain,
( ~ p603(sK92)
| ~ spl93_23
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f676,f531]) ).
fof(f676,plain,
( ~ p603(sK92)
| ~ sP40(sK92)
| ~ spl93_23 ),
inference(resolution,[],[f492,f254]) ).
fof(f254,plain,
! [X0] :
( ~ p503(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f694,plain,
( ~ spl93_42
| spl93_43
| ~ spl93_23 ),
inference(avatar_split_clause,[],[f675,f490,f691,f687]) ).
fof(f675,plain,
( r1(sK92,sK48(sK92))
| ~ sP32(sK92)
| ~ spl93_23 ),
inference(resolution,[],[f492,f313]) ).
fof(f313,plain,
! [X0] :
( ~ p503(X0)
| r1(X0,sK48(X0))
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f685,plain,
( ~ spl93_40
| spl93_41
| ~ spl93_23 ),
inference(avatar_split_clause,[],[f674,f490,f682,f678]) ).
fof(f674,plain,
( r1(sK92,sK52(sK92))
| ~ sP28(sK92)
| ~ spl93_23 ),
inference(resolution,[],[f492,f321]) ).
fof(f321,plain,
! [X0] :
( ~ p503(X0)
| r1(X0,sK52(X0))
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f668,plain,
( ~ spl93_11
| ~ spl93_26
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl93_11
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f666,f531]) ).
fof(f666,plain,
( ~ sP40(sK92)
| ~ spl93_11
| ~ spl93_26
| ~ spl93_31 ),
inference(resolution,[],[f663,f227]) ).
fof(f227,plain,
! [X0] :
( sP12(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f663,plain,
( ~ sP12(sK92)
| ~ spl93_11
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f662,f505]) ).
fof(f662,plain,
( ~ sP12(sK92)
| ~ p605(sK92)
| ~ spl93_11
| ~ spl93_26
| ~ spl93_31 ),
inference(resolution,[],[f660,f536]) ).
fof(f536,plain,
( ! [X0] :
( ~ r1(sK92,sK68(X0))
| ~ sP12(X0)
| ~ p605(X0) )
| ~ spl93_11 ),
inference(resolution,[],[f354,f444]) ).
fof(f354,plain,
! [X0] :
( ~ p305(sK68(X0))
| ~ p605(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( ~ p305(sK68(X0))
& r1(X0,sK68(X0)) )
| ~ p605(X0)
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f160,f161]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK68(X0))
& r1(X0,sK68(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP12(X0) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X12] :
( ? [X60] :
( ~ p305(X60)
& r1(X12,X60) )
| ~ p605(X12)
| ~ sP12(X12) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X12] :
( ? [X60] :
( ~ p305(X60)
& r1(X12,X60) )
| ~ p605(X12)
| ~ sP12(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f660,plain,
( r1(sK92,sK68(sK92))
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f659,f531]) ).
fof(f659,plain,
( r1(sK92,sK68(sK92))
| ~ sP40(sK92)
| ~ spl93_26 ),
inference(resolution,[],[f540,f505]) ).
fof(f540,plain,
! [X0] :
( ~ p605(X0)
| r1(X0,sK68(X0))
| ~ sP40(X0) ),
inference(resolution,[],[f353,f227]) ).
fof(f353,plain,
! [X0] :
( ~ sP12(X0)
| ~ p605(X0)
| r1(X0,sK68(X0)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f658,plain,
( ~ spl93_37
| ~ spl93_11
| spl93_36 ),
inference(avatar_split_clause,[],[f657,f645,f443,f649]) ).
fof(f657,plain,
( ~ r1(sK92,sK89(sK92))
| ~ spl93_11
| spl93_36 ),
inference(resolution,[],[f647,f444]) ).
fof(f647,plain,
( ~ p305(sK89(sK92))
| spl93_36 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f641,plain,
( ~ spl93_30
| ~ spl93_10
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f640,f530,f438,f519]) ).
fof(f640,plain,
( ~ p601(sK92)
| ~ spl93_10
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f633,f531]) ).
fof(f633,plain,
( ~ p601(sK92)
| ~ sP40(sK92)
| ~ spl93_10 ),
inference(resolution,[],[f440,f290]) ).
fof(f290,plain,
! [X0] :
( ~ p201(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f639,plain,
( ~ spl93_25
| ~ spl93_10
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f638,f530,f438,f498]) ).
fof(f638,plain,
( ~ p501(sK92)
| ~ spl93_10
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f632,f531]) ).
fof(f632,plain,
( ~ p501(sK92)
| ~ sP40(sK92)
| ~ spl93_10 ),
inference(resolution,[],[f440,f291]) ).
fof(f291,plain,
! [X0] :
( ~ p201(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f637,plain,
( ~ spl93_20
| ~ spl93_10
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f636,f530,f438,f477]) ).
fof(f636,plain,
( ~ p401(sK92)
| ~ spl93_10
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f631,f531]) ).
fof(f631,plain,
( ~ p401(sK92)
| ~ sP40(sK92)
| ~ spl93_10 ),
inference(resolution,[],[f440,f292]) ).
fof(f292,plain,
! [X0] :
( ~ p201(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f635,plain,
( ~ spl93_15
| ~ spl93_10
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f634,f530,f438,f457]) ).
fof(f634,plain,
( ~ p301(sK92)
| ~ spl93_10
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f630,f531]) ).
fof(f630,plain,
( ~ p301(sK92)
| ~ sP40(sK92)
| ~ spl93_10 ),
inference(resolution,[],[f440,f293]) ).
fof(f293,plain,
! [X0] :
( ~ p201(X0)
| ~ p301(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f629,plain,
( ~ spl93_31
| spl93_34 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl93_31
| spl93_34 ),
inference(subsumption_resolution,[],[f627,f531]) ).
fof(f627,plain,
( ~ sP40(sK92)
| spl93_34 ),
inference(resolution,[],[f613,f283]) ).
fof(f283,plain,
! [X0] :
( sP39(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f613,plain,
( ~ sP39(sK92)
| spl93_34 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f626,plain,
( ~ spl93_29
| ~ spl93_9
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f625,f530,f434,f515]) ).
fof(f625,plain,
( ~ p602(sK92)
| ~ spl93_9
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f609,f531]) ).
fof(f609,plain,
( ~ p602(sK92)
| ~ sP40(sK92)
| ~ spl93_9 ),
inference(resolution,[],[f436,f275]) ).
fof(f275,plain,
! [X0] :
( ~ p202(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f624,plain,
( ~ spl93_24
| ~ spl93_9
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f623,f530,f434,f494]) ).
fof(f623,plain,
( ~ p502(sK92)
| ~ spl93_9
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f608,f531]) ).
fof(f608,plain,
( ~ p502(sK92)
| ~ sP40(sK92)
| ~ spl93_9 ),
inference(resolution,[],[f436,f276]) ).
fof(f276,plain,
! [X0] :
( ~ p202(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f622,plain,
( ~ spl93_19
| ~ spl93_9
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f621,f530,f434,f473]) ).
fof(f621,plain,
( ~ p402(sK92)
| ~ spl93_9
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f607,f531]) ).
fof(f607,plain,
( ~ p402(sK92)
| ~ sP40(sK92)
| ~ spl93_9 ),
inference(resolution,[],[f436,f277]) ).
fof(f277,plain,
! [X0] :
( ~ p202(X0)
| ~ p402(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f620,plain,
( ~ spl93_14
| ~ spl93_9
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f619,f530,f434,f453]) ).
fof(f619,plain,
( ~ p302(sK92)
| ~ spl93_9
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f606,f531]) ).
fof(f606,plain,
( ~ p302(sK92)
| ~ sP40(sK92)
| ~ spl93_9 ),
inference(resolution,[],[f436,f278]) ).
fof(f278,plain,
! [X0] :
( ~ p202(X0)
| ~ p302(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f618,plain,
( ~ spl93_34
| spl93_35
| ~ spl93_9 ),
inference(avatar_split_clause,[],[f605,f434,f615,f611]) ).
fof(f605,plain,
( r1(sK92,sK41(sK92))
| ~ sP39(sK92)
| ~ spl93_9 ),
inference(resolution,[],[f436,f299]) ).
fof(f299,plain,
! [X0] :
( ~ p202(X0)
| r1(X0,sK41(X0))
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f604,plain,
( ~ spl93_31
| spl93_32 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| ~ spl93_31
| spl93_32 ),
inference(subsumption_resolution,[],[f602,f531]) ).
fof(f602,plain,
( ~ sP40(sK92)
| spl93_32 ),
inference(resolution,[],[f596,f268]) ).
fof(f268,plain,
! [X0] :
( sP9(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f596,plain,
( ~ sP9(sK92)
| spl93_32 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f601,plain,
( ~ spl93_32
| spl93_33
| ~ spl93_8 ),
inference(avatar_split_clause,[],[f592,f431,f598,f594]) ).
fof(f592,plain,
( r1(sK92,sK71(sK92))
| ~ sP9(sK92)
| ~ spl93_8 ),
inference(duplicate_literal_removal,[],[f591]) ).
fof(f591,plain,
( r1(sK92,sK71(sK92))
| ~ sP9(sK92)
| r1(sK92,sK71(sK92))
| ~ sP9(sK92)
| ~ spl93_8 ),
inference(resolution,[],[f589,f359]) ).
fof(f359,plain,
! [X0] :
( r1(X0,sK72(X0))
| r1(X0,sK71(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f589,plain,
( ! [X0] :
( ~ r1(sK92,sK72(X0))
| r1(X0,sK71(X0))
| ~ sP9(X0) )
| ~ spl93_8 ),
inference(resolution,[],[f432,f360]) ).
fof(f360,plain,
! [X0] :
( ~ p203(sK72(X0))
| r1(X0,sK71(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f583,plain,
( ~ spl93_7
| ~ spl93_22
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f582,plain,
( $false
| ~ spl93_7
| ~ spl93_22
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f581,f531]) ).
fof(f581,plain,
( ~ sP40(sK92)
| ~ spl93_7
| ~ spl93_22 ),
inference(resolution,[],[f580,f246]) ).
fof(f246,plain,
! [X0] :
( sP22(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f580,plain,
( ~ sP22(sK92)
| ~ spl93_7
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f579,f488]) ).
fof(f579,plain,
( ~ p504(sK92)
| ~ sP22(sK92)
| ~ spl93_7 ),
inference(duplicate_literal_removal,[],[f578]) ).
fof(f578,plain,
( ~ p504(sK92)
| ~ sP22(sK92)
| ~ p504(sK92)
| ~ sP22(sK92)
| ~ spl93_7 ),
inference(resolution,[],[f572,f333]) ).
fof(f333,plain,
! [X0] :
( r1(X0,sK58(X0))
| ~ p504(X0)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( ~ p204(sK58(X0))
& r1(X0,sK58(X0)) )
| ~ p504(X0)
| ~ sP22(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f120,f121]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK58(X0))
& r1(X0,sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ p504(X0)
| ~ sP22(X0) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X12] :
( ? [X38] :
( ~ p204(X38)
& r1(X12,X38) )
| ~ p504(X12)
| ~ sP22(X12) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X12] :
( ? [X38] :
( ~ p204(X38)
& r1(X12,X38) )
| ~ p504(X12)
| ~ sP22(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f572,plain,
( ! [X0] :
( ~ r1(sK92,sK58(X0))
| ~ p504(X0)
| ~ sP22(X0) )
| ~ spl93_7 ),
inference(resolution,[],[f429,f334]) ).
fof(f334,plain,
! [X0] :
( ~ p204(sK58(X0))
| ~ p504(X0)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f570,plain,
( ~ spl93_6
| ~ spl93_26
| ~ spl93_31 ),
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f569,plain,
( $false
| ~ spl93_6
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f568,f531]) ).
fof(f568,plain,
( ~ sP40(sK92)
| ~ spl93_6
| ~ spl93_26
| ~ spl93_31 ),
inference(resolution,[],[f566,f230]) ).
fof(f230,plain,
! [X0] :
( sP14(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f566,plain,
( ~ sP14(sK92)
| ~ spl93_6
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f565,f505]) ).
fof(f565,plain,
( ~ sP14(sK92)
| ~ p605(sK92)
| ~ spl93_6
| ~ spl93_26
| ~ spl93_31 ),
inference(resolution,[],[f564,f535]) ).
fof(f535,plain,
( ! [X0] :
( ~ r1(sK92,sK66(X0))
| ~ sP14(X0)
| ~ p605(X0) )
| ~ spl93_6 ),
inference(resolution,[],[f350,f426]) ).
fof(f350,plain,
! [X0] :
( ~ p205(sK66(X0))
| ~ p605(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( ~ p205(sK66(X0))
& r1(X0,sK66(X0)) )
| ~ p605(X0)
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f152,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK66(X0))
& r1(X0,sK66(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP14(X0) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X12] :
( ? [X56] :
( ~ p205(X56)
& r1(X12,X56) )
| ~ p605(X12)
| ~ sP14(X12) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X12] :
( ? [X56] :
( ~ p205(X56)
& r1(X12,X56) )
| ~ p605(X12)
| ~ sP14(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f564,plain,
( r1(sK92,sK66(sK92))
| ~ spl93_26
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f563,f531]) ).
fof(f563,plain,
( r1(sK92,sK66(sK92))
| ~ sP40(sK92)
| ~ spl93_26 ),
inference(resolution,[],[f539,f505]) ).
fof(f539,plain,
! [X0] :
( ~ p605(X0)
| r1(X0,sK66(X0))
| ~ sP40(X0) ),
inference(resolution,[],[f349,f230]) ).
fof(f349,plain,
! [X0] :
( ~ sP14(X0)
| ~ p605(X0)
| r1(X0,sK66(X0)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f554,plain,
spl93_31,
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| spl93_31 ),
inference(subsumption_resolution,[],[f552,f400]) ).
fof(f400,plain,
r1(sK91,sK92),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( p101(sK92)
| ! [X2] :
( p102(X2)
| ~ r1(sK92,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(sK92,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(sK92,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(sK92,X5) ) )
& ( p201(sK92)
| p202(sK92)
| ! [X6] :
( p203(X6)
| ~ r1(sK92,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(sK92,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(sK92,X8) ) )
& ( p301(sK92)
| p302(sK92)
| p303(sK92)
| ! [X9] :
( p304(X9)
| ~ r1(sK92,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(sK92,X10) ) )
& ( p401(sK92)
| p402(sK92)
| p403(sK92)
| p404(sK92)
| ! [X11] :
( p405(X11)
| ~ r1(sK92,X11) ) )
& ( p501(sK92)
| p502(sK92)
| p503(sK92)
| p504(sK92)
| p505(sK92) )
& ( p601(sK92)
| p602(sK92)
| p603(sK92)
| p604(sK92)
| p605(sK92) )
& r1(sK91,sK92)
& ! [X12] :
( sP40(X12)
| ~ r1(sK91,X12) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91,sK92])],[f48,f222,f221]) ).
fof(f221,plain,
( ? [X0] :
( ? [X1] :
( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(X1,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(X1,X5) ) )
& ( p201(X1)
| p202(X1)
| ! [X6] :
( p203(X6)
| ~ r1(X1,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(X1,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(X1,X8) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X9] :
( p304(X9)
| ~ r1(X1,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(X1,X10) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X11] :
( p405(X11)
| ~ r1(X1,X11) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) )
& r1(X0,X1) )
& ! [X12] :
( sP40(X12)
| ~ r1(X0,X12) ) )
=> ( ? [X1] :
( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(X1,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(X1,X5) ) )
& ( p201(X1)
| p202(X1)
| ! [X6] :
( p203(X6)
| ~ r1(X1,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(X1,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(X1,X8) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X9] :
( p304(X9)
| ~ r1(X1,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(X1,X10) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X11] :
( p405(X11)
| ~ r1(X1,X11) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) )
& r1(sK91,X1) )
& ! [X12] :
( sP40(X12)
| ~ r1(sK91,X12) ) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
( ? [X1] :
( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(X1,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(X1,X5) ) )
& ( p201(X1)
| p202(X1)
| ! [X6] :
( p203(X6)
| ~ r1(X1,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(X1,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(X1,X8) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X9] :
( p304(X9)
| ~ r1(X1,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(X1,X10) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X11] :
( p405(X11)
| ~ r1(X1,X11) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) )
& r1(sK91,X1) )
=> ( ( p101(sK92)
| ! [X2] :
( p102(X2)
| ~ r1(sK92,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(sK92,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(sK92,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(sK92,X5) ) )
& ( p201(sK92)
| p202(sK92)
| ! [X6] :
( p203(X6)
| ~ r1(sK92,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(sK92,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(sK92,X8) ) )
& ( p301(sK92)
| p302(sK92)
| p303(sK92)
| ! [X9] :
( p304(X9)
| ~ r1(sK92,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(sK92,X10) ) )
& ( p401(sK92)
| p402(sK92)
| p403(sK92)
| p404(sK92)
| ! [X11] :
( p405(X11)
| ~ r1(sK92,X11) ) )
& ( p501(sK92)
| p502(sK92)
| p503(sK92)
| p504(sK92)
| p505(sK92) )
& ( p601(sK92)
| p602(sK92)
| p603(sK92)
| p604(sK92)
| p605(sK92) )
& r1(sK91,sK92) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(X1,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(X1,X5) ) )
& ( p201(X1)
| p202(X1)
| ! [X6] :
( p203(X6)
| ~ r1(X1,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(X1,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(X1,X8) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X9] :
( p304(X9)
| ~ r1(X1,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(X1,X10) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X11] :
( p405(X11)
| ~ r1(X1,X11) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) )
& r1(X0,X1) )
& ! [X12] :
( sP40(X12)
| ~ r1(X0,X12) ) ),
inference(definition_folding,[],[f6,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f32,plain,
! [X12] :
( ? [X33] :
( ~ p104(X33)
& r1(X12,X33) )
| ~ p504(X12)
| ~ sP25(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(X1,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(X1,X5) ) )
& ( p201(X1)
| p202(X1)
| ! [X6] :
( p203(X6)
| ~ r1(X1,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(X1,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(X1,X8) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X9] :
( p304(X9)
| ~ r1(X1,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(X1,X10) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X11] :
( p405(X11)
| ~ r1(X1,X11) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) )
& r1(X0,X1) )
& ! [X12] :
( ( ( ~ p101(X12)
| ~ p201(X12) )
& ( ~ p101(X12)
| ~ p301(X12) )
& ( ~ p101(X12)
| ~ p401(X12) )
& ( ~ p101(X12)
| ~ p501(X12) )
& ( ~ p101(X12)
| ~ p601(X12) )
& ( ~ p201(X12)
| ~ p301(X12) )
& ( ~ p201(X12)
| ~ p401(X12) )
& ( ~ p201(X12)
| ~ p501(X12) )
& ( ~ p201(X12)
| ~ p601(X12) )
& ( ~ p301(X12)
| ~ p401(X12) )
& ( ~ p301(X12)
| ~ p501(X12) )
& ( ~ p301(X12)
| ~ p601(X12) )
& ( ~ p401(X12)
| ~ p501(X12) )
& ( ~ p401(X12)
| ~ p601(X12) )
& ( ~ p501(X12)
| ~ p601(X12) )
& ( ? [X13] :
( ~ p102(X13)
& r1(X12,X13) )
| ~ p202(X12) )
& ( ? [X14] :
( ~ p102(X14)
& r1(X12,X14) )
| ~ p302(X12) )
& ( ? [X15] :
( ~ p102(X15)
& r1(X12,X15) )
| ~ p402(X12) )
& ( ? [X16] :
( ~ p102(X16)
& r1(X12,X16) )
| ~ p502(X12) )
& ( ? [X17] :
( ~ p102(X17)
& r1(X12,X17) )
| ~ p602(X12) )
& ( ~ p202(X12)
| ~ p302(X12) )
& ( ~ p202(X12)
| ~ p402(X12) )
& ( ~ p202(X12)
| ~ p502(X12) )
& ( ~ p202(X12)
| ~ p602(X12) )
& ( ~ p302(X12)
| ~ p402(X12) )
& ( ~ p302(X12)
| ~ p502(X12) )
& ( ~ p302(X12)
| ~ p602(X12) )
& ( ~ p402(X12)
| ~ p502(X12) )
& ( ~ p402(X12)
| ~ p602(X12) )
& ( ~ p502(X12)
| ~ p602(X12) )
& ( ? [X18] :
( ~ p103(X18)
& r1(X12,X18) )
| ? [X19] :
( ~ p203(X19)
& r1(X12,X19) ) )
& ( ? [X20] :
( ~ p103(X20)
& r1(X12,X20) )
| ~ p303(X12) )
& ( ? [X21] :
( ~ p103(X21)
& r1(X12,X21) )
| ~ p403(X12) )
& ( ? [X22] :
( ~ p103(X22)
& r1(X12,X22) )
| ~ p503(X12) )
& ( ? [X23] :
( ~ p103(X23)
& r1(X12,X23) )
| ~ p603(X12) )
& ( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ~ p303(X12) )
& ( ? [X25] :
( ~ p203(X25)
& r1(X12,X25) )
| ~ p403(X12) )
& ( ? [X26] :
( ~ p203(X26)
& r1(X12,X26) )
| ~ p503(X12) )
& ( ? [X27] :
( ~ p203(X27)
& r1(X12,X27) )
| ~ p603(X12) )
& ( ~ p303(X12)
| ~ p403(X12) )
& ( ~ p303(X12)
| ~ p503(X12) )
& ( ~ p303(X12)
| ~ p603(X12) )
& ( ~ p403(X12)
| ~ p503(X12) )
& ( ~ p403(X12)
| ~ p603(X12) )
& ( ~ p503(X12)
| ~ p603(X12) )
& ( ? [X28] :
( ~ p104(X28)
& r1(X12,X28) )
| ? [X29] :
( ~ p204(X29)
& r1(X12,X29) ) )
& ( ? [X30] :
( ~ p104(X30)
& r1(X12,X30) )
| ? [X31] :
( ~ p304(X31)
& r1(X12,X31) ) )
& ( ? [X32] :
( ~ p104(X32)
& r1(X12,X32) )
| ~ p404(X12) )
& ( ? [X33] :
( ~ p104(X33)
& r1(X12,X33) )
| ~ p504(X12) )
& ( ? [X34] :
( ~ p104(X34)
& r1(X12,X34) )
| ~ p604(X12) )
& ( ? [X35] :
( ~ p204(X35)
& r1(X12,X35) )
| ? [X36] :
( ~ p304(X36)
& r1(X12,X36) ) )
& ( ? [X37] :
( ~ p204(X37)
& r1(X12,X37) )
| ~ p404(X12) )
& ( ? [X38] :
( ~ p204(X38)
& r1(X12,X38) )
| ~ p504(X12) )
& ( ? [X39] :
( ~ p204(X39)
& r1(X12,X39) )
| ~ p604(X12) )
& ( ? [X40] :
( ~ p304(X40)
& r1(X12,X40) )
| ~ p404(X12) )
& ( ? [X41] :
( ~ p304(X41)
& r1(X12,X41) )
| ~ p504(X12) )
& ( ? [X42] :
( ~ p304(X42)
& r1(X12,X42) )
| ~ p604(X12) )
& ( ~ p404(X12)
| ~ p504(X12) )
& ( ~ p404(X12)
| ~ p604(X12) )
& ( ~ p504(X12)
| ~ p604(X12) )
& ( ? [X43] :
( ~ p105(X43)
& r1(X12,X43) )
| ? [X44] :
( ~ p205(X44)
& r1(X12,X44) ) )
& ( ? [X45] :
( ~ p105(X45)
& r1(X12,X45) )
| ? [X46] :
( ~ p305(X46)
& r1(X12,X46) ) )
& ( ? [X47] :
( ~ p105(X47)
& r1(X12,X47) )
| ? [X48] :
( ~ p405(X48)
& r1(X12,X48) ) )
& ( ? [X49] :
( ~ p105(X49)
& r1(X12,X49) )
| ~ p505(X12) )
& ( ? [X50] :
( ~ p105(X50)
& r1(X12,X50) )
| ~ p605(X12) )
& ( ? [X51] :
( ~ p205(X51)
& r1(X12,X51) )
| ? [X52] :
( ~ p305(X52)
& r1(X12,X52) ) )
& ( ? [X53] :
( ~ p205(X53)
& r1(X12,X53) )
| ? [X54] :
( ~ p405(X54)
& r1(X12,X54) ) )
& ( ? [X55] :
( ~ p205(X55)
& r1(X12,X55) )
| ~ p505(X12) )
& ( ? [X56] :
( ~ p205(X56)
& r1(X12,X56) )
| ~ p605(X12) )
& ( ? [X57] :
( ~ p305(X57)
& r1(X12,X57) )
| ? [X58] :
( ~ p405(X58)
& r1(X12,X58) ) )
& ( ? [X59] :
( ~ p305(X59)
& r1(X12,X59) )
| ~ p505(X12) )
& ( ? [X60] :
( ~ p305(X60)
& r1(X12,X60) )
| ~ p605(X12) )
& ( ? [X61] :
( ~ p405(X61)
& r1(X12,X61) )
| ~ p505(X12) )
& ( ? [X62] :
( ~ p405(X62)
& r1(X12,X62) )
| ~ p605(X12) )
& ( ~ p505(X12)
| ~ p605(X12) ) )
| ~ r1(X0,X12) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ? [X1] :
( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(X1,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(X1,X5) ) )
& ( p201(X1)
| p202(X1)
| ! [X6] :
( p203(X6)
| ~ r1(X1,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(X1,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(X1,X8) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X9] :
( p304(X9)
| ~ r1(X1,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(X1,X10) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X11] :
( p405(X11)
| ~ r1(X1,X11) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) )
& r1(X0,X1) )
& ! [X12] :
( ( ( ~ p101(X12)
| ~ p201(X12) )
& ( ~ p101(X12)
| ~ p301(X12) )
& ( ~ p101(X12)
| ~ p401(X12) )
& ( ~ p101(X12)
| ~ p501(X12) )
& ( ~ p101(X12)
| ~ p601(X12) )
& ( ~ p201(X12)
| ~ p301(X12) )
& ( ~ p201(X12)
| ~ p401(X12) )
& ( ~ p201(X12)
| ~ p501(X12) )
& ( ~ p201(X12)
| ~ p601(X12) )
& ( ~ p301(X12)
| ~ p401(X12) )
& ( ~ p301(X12)
| ~ p501(X12) )
& ( ~ p301(X12)
| ~ p601(X12) )
& ( ~ p401(X12)
| ~ p501(X12) )
& ( ~ p401(X12)
| ~ p601(X12) )
& ( ~ p501(X12)
| ~ p601(X12) )
& ( ? [X13] :
( ~ p102(X13)
& r1(X12,X13) )
| ~ p202(X12) )
& ( ? [X14] :
( ~ p102(X14)
& r1(X12,X14) )
| ~ p302(X12) )
& ( ? [X15] :
( ~ p102(X15)
& r1(X12,X15) )
| ~ p402(X12) )
& ( ? [X16] :
( ~ p102(X16)
& r1(X12,X16) )
| ~ p502(X12) )
& ( ? [X17] :
( ~ p102(X17)
& r1(X12,X17) )
| ~ p602(X12) )
& ( ~ p202(X12)
| ~ p302(X12) )
& ( ~ p202(X12)
| ~ p402(X12) )
& ( ~ p202(X12)
| ~ p502(X12) )
& ( ~ p202(X12)
| ~ p602(X12) )
& ( ~ p302(X12)
| ~ p402(X12) )
& ( ~ p302(X12)
| ~ p502(X12) )
& ( ~ p302(X12)
| ~ p602(X12) )
& ( ~ p402(X12)
| ~ p502(X12) )
& ( ~ p402(X12)
| ~ p602(X12) )
& ( ~ p502(X12)
| ~ p602(X12) )
& ( ? [X18] :
( ~ p103(X18)
& r1(X12,X18) )
| ? [X19] :
( ~ p203(X19)
& r1(X12,X19) ) )
& ( ? [X20] :
( ~ p103(X20)
& r1(X12,X20) )
| ~ p303(X12) )
& ( ? [X21] :
( ~ p103(X21)
& r1(X12,X21) )
| ~ p403(X12) )
& ( ? [X22] :
( ~ p103(X22)
& r1(X12,X22) )
| ~ p503(X12) )
& ( ? [X23] :
( ~ p103(X23)
& r1(X12,X23) )
| ~ p603(X12) )
& ( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ~ p303(X12) )
& ( ? [X25] :
( ~ p203(X25)
& r1(X12,X25) )
| ~ p403(X12) )
& ( ? [X26] :
( ~ p203(X26)
& r1(X12,X26) )
| ~ p503(X12) )
& ( ? [X27] :
( ~ p203(X27)
& r1(X12,X27) )
| ~ p603(X12) )
& ( ~ p303(X12)
| ~ p403(X12) )
& ( ~ p303(X12)
| ~ p503(X12) )
& ( ~ p303(X12)
| ~ p603(X12) )
& ( ~ p403(X12)
| ~ p503(X12) )
& ( ~ p403(X12)
| ~ p603(X12) )
& ( ~ p503(X12)
| ~ p603(X12) )
& ( ? [X28] :
( ~ p104(X28)
& r1(X12,X28) )
| ? [X29] :
( ~ p204(X29)
& r1(X12,X29) ) )
& ( ? [X30] :
( ~ p104(X30)
& r1(X12,X30) )
| ? [X31] :
( ~ p304(X31)
& r1(X12,X31) ) )
& ( ? [X32] :
( ~ p104(X32)
& r1(X12,X32) )
| ~ p404(X12) )
& ( ? [X33] :
( ~ p104(X33)
& r1(X12,X33) )
| ~ p504(X12) )
& ( ? [X34] :
( ~ p104(X34)
& r1(X12,X34) )
| ~ p604(X12) )
& ( ? [X35] :
( ~ p204(X35)
& r1(X12,X35) )
| ? [X36] :
( ~ p304(X36)
& r1(X12,X36) ) )
& ( ? [X37] :
( ~ p204(X37)
& r1(X12,X37) )
| ~ p404(X12) )
& ( ? [X38] :
( ~ p204(X38)
& r1(X12,X38) )
| ~ p504(X12) )
& ( ? [X39] :
( ~ p204(X39)
& r1(X12,X39) )
| ~ p604(X12) )
& ( ? [X40] :
( ~ p304(X40)
& r1(X12,X40) )
| ~ p404(X12) )
& ( ? [X41] :
( ~ p304(X41)
& r1(X12,X41) )
| ~ p504(X12) )
& ( ? [X42] :
( ~ p304(X42)
& r1(X12,X42) )
| ~ p604(X12) )
& ( ~ p404(X12)
| ~ p504(X12) )
& ( ~ p404(X12)
| ~ p604(X12) )
& ( ~ p504(X12)
| ~ p604(X12) )
& ( ? [X43] :
( ~ p105(X43)
& r1(X12,X43) )
| ? [X44] :
( ~ p205(X44)
& r1(X12,X44) ) )
& ( ? [X45] :
( ~ p105(X45)
& r1(X12,X45) )
| ? [X46] :
( ~ p305(X46)
& r1(X12,X46) ) )
& ( ? [X47] :
( ~ p105(X47)
& r1(X12,X47) )
| ? [X48] :
( ~ p405(X48)
& r1(X12,X48) ) )
& ( ? [X49] :
( ~ p105(X49)
& r1(X12,X49) )
| ~ p505(X12) )
& ( ? [X50] :
( ~ p105(X50)
& r1(X12,X50) )
| ~ p605(X12) )
& ( ? [X51] :
( ~ p205(X51)
& r1(X12,X51) )
| ? [X52] :
( ~ p305(X52)
& r1(X12,X52) ) )
& ( ? [X53] :
( ~ p205(X53)
& r1(X12,X53) )
| ? [X54] :
( ~ p405(X54)
& r1(X12,X54) ) )
& ( ? [X55] :
( ~ p205(X55)
& r1(X12,X55) )
| ~ p505(X12) )
& ( ? [X56] :
( ~ p205(X56)
& r1(X12,X56) )
| ~ p605(X12) )
& ( ? [X57] :
( ~ p305(X57)
& r1(X12,X57) )
| ? [X58] :
( ~ p405(X58)
& r1(X12,X58) ) )
& ( ? [X59] :
( ~ p305(X59)
& r1(X12,X59) )
| ~ p505(X12) )
& ( ? [X60] :
( ~ p305(X60)
& r1(X12,X60) )
| ~ p605(X12) )
& ( ? [X61] :
( ~ p405(X61)
& r1(X12,X61) )
| ~ p505(X12) )
& ( ? [X62] :
( ~ p405(X62)
& r1(X12,X62) )
| ~ p605(X12) )
& ( ~ p505(X12)
| ~ p605(X12) ) )
| ~ r1(X0,X12) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X1] :
( ~ ( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(X1,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(X1,X5) ) )
& ( p201(X1)
| p202(X1)
| ! [X6] :
( p203(X6)
| ~ r1(X1,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(X1,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(X1,X8) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X9] :
( p304(X9)
| ~ r1(X1,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(X1,X10) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X11] :
( p405(X11)
| ~ r1(X1,X11) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X12] :
( ~ ( ( p101(X12)
& p201(X12) )
| ( p101(X12)
& p301(X12) )
| ( p101(X12)
& p401(X12) )
| ( p101(X12)
& p501(X12) )
| ( p101(X12)
& p601(X12) )
| ( p201(X12)
& p301(X12) )
| ( p201(X12)
& p401(X12) )
| ( p201(X12)
& p501(X12) )
| ( p201(X12)
& p601(X12) )
| ( p301(X12)
& p401(X12) )
| ( p301(X12)
& p501(X12) )
| ( p301(X12)
& p601(X12) )
| ( p401(X12)
& p501(X12) )
| ( p401(X12)
& p601(X12) )
| ( p501(X12)
& p601(X12) )
| ( ! [X13] :
( p102(X13)
| ~ r1(X12,X13) )
& p202(X12) )
| ( ! [X14] :
( p102(X14)
| ~ r1(X12,X14) )
& p302(X12) )
| ( ! [X15] :
( p102(X15)
| ~ r1(X12,X15) )
& p402(X12) )
| ( ! [X16] :
( p102(X16)
| ~ r1(X12,X16) )
& p502(X12) )
| ( ! [X17] :
( p102(X17)
| ~ r1(X12,X17) )
& p602(X12) )
| ( p202(X12)
& p302(X12) )
| ( p202(X12)
& p402(X12) )
| ( p202(X12)
& p502(X12) )
| ( p202(X12)
& p602(X12) )
| ( p302(X12)
& p402(X12) )
| ( p302(X12)
& p502(X12) )
| ( p302(X12)
& p602(X12) )
| ( p402(X12)
& p502(X12) )
| ( p402(X12)
& p602(X12) )
| ( p502(X12)
& p602(X12) )
| ( ! [X18] :
( p103(X18)
| ~ r1(X12,X18) )
& ! [X19] :
( p203(X19)
| ~ r1(X12,X19) ) )
| ( ! [X20] :
( p103(X20)
| ~ r1(X12,X20) )
& p303(X12) )
| ( ! [X21] :
( p103(X21)
| ~ r1(X12,X21) )
& p403(X12) )
| ( ! [X22] :
( p103(X22)
| ~ r1(X12,X22) )
& p503(X12) )
| ( ! [X23] :
( p103(X23)
| ~ r1(X12,X23) )
& p603(X12) )
| ( ! [X24] :
( p203(X24)
| ~ r1(X12,X24) )
& p303(X12) )
| ( ! [X25] :
( p203(X25)
| ~ r1(X12,X25) )
& p403(X12) )
| ( ! [X26] :
( p203(X26)
| ~ r1(X12,X26) )
& p503(X12) )
| ( ! [X27] :
( p203(X27)
| ~ r1(X12,X27) )
& p603(X12) )
| ( p303(X12)
& p403(X12) )
| ( p303(X12)
& p503(X12) )
| ( p303(X12)
& p603(X12) )
| ( p403(X12)
& p503(X12) )
| ( p403(X12)
& p603(X12) )
| ( p503(X12)
& p603(X12) )
| ( ! [X28] :
( p104(X28)
| ~ r1(X12,X28) )
& ! [X29] :
( p204(X29)
| ~ r1(X12,X29) ) )
| ( ! [X30] :
( p104(X30)
| ~ r1(X12,X30) )
& ! [X31] :
( p304(X31)
| ~ r1(X12,X31) ) )
| ( ! [X32] :
( p104(X32)
| ~ r1(X12,X32) )
& p404(X12) )
| ( ! [X33] :
( p104(X33)
| ~ r1(X12,X33) )
& p504(X12) )
| ( ! [X34] :
( p104(X34)
| ~ r1(X12,X34) )
& p604(X12) )
| ( ! [X35] :
( p204(X35)
| ~ r1(X12,X35) )
& ! [X36] :
( p304(X36)
| ~ r1(X12,X36) ) )
| ( ! [X37] :
( p204(X37)
| ~ r1(X12,X37) )
& p404(X12) )
| ( ! [X38] :
( p204(X38)
| ~ r1(X12,X38) )
& p504(X12) )
| ( ! [X39] :
( p204(X39)
| ~ r1(X12,X39) )
& p604(X12) )
| ( ! [X40] :
( p304(X40)
| ~ r1(X12,X40) )
& p404(X12) )
| ( ! [X41] :
( p304(X41)
| ~ r1(X12,X41) )
& p504(X12) )
| ( ! [X42] :
( p304(X42)
| ~ r1(X12,X42) )
& p604(X12) )
| ( p404(X12)
& p504(X12) )
| ( p404(X12)
& p604(X12) )
| ( p504(X12)
& p604(X12) )
| ( ! [X43] :
( p105(X43)
| ~ r1(X12,X43) )
& ! [X44] :
( p205(X44)
| ~ r1(X12,X44) ) )
| ( ! [X45] :
( p105(X45)
| ~ r1(X12,X45) )
& ! [X46] :
( p305(X46)
| ~ r1(X12,X46) ) )
| ( ! [X47] :
( p105(X47)
| ~ r1(X12,X47) )
& ! [X48] :
( p405(X48)
| ~ r1(X12,X48) ) )
| ( ! [X49] :
( p105(X49)
| ~ r1(X12,X49) )
& p505(X12) )
| ( ! [X50] :
( p105(X50)
| ~ r1(X12,X50) )
& p605(X12) )
| ( ! [X51] :
( p205(X51)
| ~ r1(X12,X51) )
& ! [X52] :
( p305(X52)
| ~ r1(X12,X52) ) )
| ( ! [X53] :
( p205(X53)
| ~ r1(X12,X53) )
& ! [X54] :
( p405(X54)
| ~ r1(X12,X54) ) )
| ( ! [X55] :
( p205(X55)
| ~ r1(X12,X55) )
& p505(X12) )
| ( ! [X56] :
( p205(X56)
| ~ r1(X12,X56) )
& p605(X12) )
| ( ! [X57] :
( p305(X57)
| ~ r1(X12,X57) )
& ! [X58] :
( p405(X58)
| ~ r1(X12,X58) ) )
| ( ! [X59] :
( p305(X59)
| ~ r1(X12,X59) )
& p505(X12) )
| ( ! [X60] :
( p305(X60)
| ~ r1(X12,X60) )
& p605(X12) )
| ( ! [X61] :
( p405(X61)
| ~ r1(X12,X61) )
& p505(X12) )
| ( ! [X62] :
( p405(X62)
| ~ r1(X12,X62) )
& p605(X12) )
| ( p505(X12)
& p605(X12) ) )
| ~ r1(X0,X12) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( p103(X3)
| ~ r1(X1,X3) )
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X5] :
( p105(X5)
| ~ r1(X1,X5) ) )
& ( p201(X1)
| p202(X1)
| ! [X6] :
( p203(X6)
| ~ r1(X1,X6) )
| ! [X7] :
( p204(X7)
| ~ r1(X1,X7) )
| ! [X8] :
( p205(X8)
| ~ r1(X1,X8) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X9] :
( p304(X9)
| ~ r1(X1,X9) )
| ! [X10] :
( p305(X10)
| ~ r1(X1,X10) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X11] :
( p405(X11)
| ~ r1(X1,X11) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X12] :
( ~ ( ( p101(X12)
& p201(X12) )
| ( p101(X12)
& p301(X12) )
| ( p101(X12)
& p401(X12) )
| ( p101(X12)
& p501(X12) )
| ( p101(X12)
& p601(X12) )
| ( p201(X12)
& p301(X12) )
| ( p201(X12)
& p401(X12) )
| ( p201(X12)
& p501(X12) )
| ( p201(X12)
& p601(X12) )
| ( p301(X12)
& p401(X12) )
| ( p301(X12)
& p501(X12) )
| ( p301(X12)
& p601(X12) )
| ( p401(X12)
& p501(X12) )
| ( p401(X12)
& p601(X12) )
| ( p501(X12)
& p601(X12) )
| ( ! [X13] :
( p102(X13)
| ~ r1(X12,X13) )
& p202(X12) )
| ( ! [X14] :
( p102(X14)
| ~ r1(X12,X14) )
& p302(X12) )
| ( ! [X15] :
( p102(X15)
| ~ r1(X12,X15) )
& p402(X12) )
| ( ! [X16] :
( p102(X16)
| ~ r1(X12,X16) )
& p502(X12) )
| ( ! [X17] :
( p102(X17)
| ~ r1(X12,X17) )
& p602(X12) )
| ( p202(X12)
& p302(X12) )
| ( p202(X12)
& p402(X12) )
| ( p202(X12)
& p502(X12) )
| ( p202(X12)
& p602(X12) )
| ( p302(X12)
& p402(X12) )
| ( p302(X12)
& p502(X12) )
| ( p302(X12)
& p602(X12) )
| ( p402(X12)
& p502(X12) )
| ( p402(X12)
& p602(X12) )
| ( p502(X12)
& p602(X12) )
| ( ! [X18] :
( p103(X18)
| ~ r1(X12,X18) )
& ! [X19] :
( p203(X19)
| ~ r1(X12,X19) ) )
| ( ! [X20] :
( p103(X20)
| ~ r1(X12,X20) )
& p303(X12) )
| ( ! [X21] :
( p103(X21)
| ~ r1(X12,X21) )
& p403(X12) )
| ( ! [X22] :
( p103(X22)
| ~ r1(X12,X22) )
& p503(X12) )
| ( ! [X23] :
( p103(X23)
| ~ r1(X12,X23) )
& p603(X12) )
| ( ! [X24] :
( p203(X24)
| ~ r1(X12,X24) )
& p303(X12) )
| ( ! [X25] :
( p203(X25)
| ~ r1(X12,X25) )
& p403(X12) )
| ( ! [X26] :
( p203(X26)
| ~ r1(X12,X26) )
& p503(X12) )
| ( ! [X27] :
( p203(X27)
| ~ r1(X12,X27) )
& p603(X12) )
| ( p303(X12)
& p403(X12) )
| ( p303(X12)
& p503(X12) )
| ( p303(X12)
& p603(X12) )
| ( p403(X12)
& p503(X12) )
| ( p403(X12)
& p603(X12) )
| ( p503(X12)
& p603(X12) )
| ( ! [X28] :
( p104(X28)
| ~ r1(X12,X28) )
& ! [X29] :
( p204(X29)
| ~ r1(X12,X29) ) )
| ( ! [X30] :
( p104(X30)
| ~ r1(X12,X30) )
& ! [X31] :
( p304(X31)
| ~ r1(X12,X31) ) )
| ( ! [X32] :
( p104(X32)
| ~ r1(X12,X32) )
& p404(X12) )
| ( ! [X33] :
( p104(X33)
| ~ r1(X12,X33) )
& p504(X12) )
| ( ! [X34] :
( p104(X34)
| ~ r1(X12,X34) )
& p604(X12) )
| ( ! [X35] :
( p204(X35)
| ~ r1(X12,X35) )
& ! [X36] :
( p304(X36)
| ~ r1(X12,X36) ) )
| ( ! [X37] :
( p204(X37)
| ~ r1(X12,X37) )
& p404(X12) )
| ( ! [X38] :
( p204(X38)
| ~ r1(X12,X38) )
& p504(X12) )
| ( ! [X39] :
( p204(X39)
| ~ r1(X12,X39) )
& p604(X12) )
| ( ! [X40] :
( p304(X40)
| ~ r1(X12,X40) )
& p404(X12) )
| ( ! [X41] :
( p304(X41)
| ~ r1(X12,X41) )
& p504(X12) )
| ( ! [X42] :
( p304(X42)
| ~ r1(X12,X42) )
& p604(X12) )
| ( p404(X12)
& p504(X12) )
| ( p404(X12)
& p604(X12) )
| ( p504(X12)
& p604(X12) )
| ( ! [X43] :
( p105(X43)
| ~ r1(X12,X43) )
& ! [X44] :
( p205(X44)
| ~ r1(X12,X44) ) )
| ( ! [X45] :
( p105(X45)
| ~ r1(X12,X45) )
& ! [X46] :
( p305(X46)
| ~ r1(X12,X46) ) )
| ( ! [X47] :
( p105(X47)
| ~ r1(X12,X47) )
& ! [X48] :
( p405(X48)
| ~ r1(X12,X48) ) )
| ( ! [X49] :
( p105(X49)
| ~ r1(X12,X49) )
& p505(X12) )
| ( ! [X50] :
( p105(X50)
| ~ r1(X12,X50) )
& p605(X12) )
| ( ! [X51] :
( p205(X51)
| ~ r1(X12,X51) )
& ! [X52] :
( p305(X52)
| ~ r1(X12,X52) ) )
| ( ! [X53] :
( p205(X53)
| ~ r1(X12,X53) )
& ! [X54] :
( p405(X54)
| ~ r1(X12,X54) ) )
| ( ! [X55] :
( p205(X55)
| ~ r1(X12,X55) )
& p505(X12) )
| ( ! [X56] :
( p205(X56)
| ~ r1(X12,X56) )
& p605(X12) )
| ( ! [X57] :
( p305(X57)
| ~ r1(X12,X57) )
& ! [X58] :
( p405(X58)
| ~ r1(X12,X58) ) )
| ( ! [X59] :
( p305(X59)
| ~ r1(X12,X59) )
& p505(X12) )
| ( ! [X60] :
( p305(X60)
| ~ r1(X12,X60) )
& p605(X12) )
| ( ! [X61] :
( p405(X61)
| ~ r1(X12,X61) )
& p505(X12) )
| ( ! [X62] :
( p405(X62)
| ~ r1(X12,X62) )
& p605(X12) )
| ( p505(X12)
& p605(X12) ) )
| ~ r1(X0,X12) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ( ( p101(X1)
| ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p105(X0)
| ~ r1(X1,X0) ) )
& ( p201(X1)
| p202(X1)
| ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( p101(X1)
& p201(X1) )
| ( p101(X1)
& p301(X1) )
| ( p101(X1)
& p401(X1) )
| ( p101(X1)
& p501(X1) )
| ( p101(X1)
& p601(X1) )
| ( p201(X1)
& p301(X1) )
| ( p201(X1)
& p401(X1) )
| ( p201(X1)
& p501(X1) )
| ( p201(X1)
& p601(X1) )
| ( p301(X1)
& p401(X1) )
| ( p301(X1)
& p501(X1) )
| ( p301(X1)
& p601(X1) )
| ( p401(X1)
& p501(X1) )
| ( p401(X1)
& p601(X1) )
| ( p501(X1)
& p601(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p202(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p302(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p402(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p502(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p602(X1) )
| ( p202(X1)
& p302(X1) )
| ( p202(X1)
& p402(X1) )
| ( p202(X1)
& p502(X1) )
| ( p202(X1)
& p602(X1) )
| ( p302(X1)
& p402(X1) )
| ( p302(X1)
& p502(X1) )
| ( p302(X1)
& p602(X1) )
| ( p402(X1)
& p502(X1) )
| ( p402(X1)
& p602(X1) )
| ( p502(X1)
& p602(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p603(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p603(X1) )
| ( p303(X1)
& p403(X1) )
| ( p303(X1)
& p503(X1) )
| ( p303(X1)
& p603(X1) )
| ( p403(X1)
& p503(X1) )
| ( p403(X1)
& p603(X1) )
| ( p503(X1)
& p603(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p204(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( p404(X1)
& p504(X1) )
| ( p404(X1)
& p604(X1) )
| ( p504(X1)
& p604(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p505(X1)
& p605(X1) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ( ( p101(X1)
| ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p105(X0)
| ~ r1(X1,X0) ) )
& ( p201(X1)
| p202(X1)
| ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( p101(X1)
& p201(X1) )
| ( p101(X1)
& p301(X1) )
| ( p101(X1)
& p401(X1) )
| ( p101(X1)
& p501(X1) )
| ( p101(X1)
& p601(X1) )
| ( p201(X1)
& p301(X1) )
| ( p201(X1)
& p401(X1) )
| ( p201(X1)
& p501(X1) )
| ( p201(X1)
& p601(X1) )
| ( p301(X1)
& p401(X1) )
| ( p301(X1)
& p501(X1) )
| ( p301(X1)
& p601(X1) )
| ( p401(X1)
& p501(X1) )
| ( p401(X1)
& p601(X1) )
| ( p501(X1)
& p601(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p202(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p302(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p402(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p502(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p602(X1) )
| ( p202(X1)
& p302(X1) )
| ( p202(X1)
& p402(X1) )
| ( p202(X1)
& p502(X1) )
| ( p202(X1)
& p602(X1) )
| ( p302(X1)
& p402(X1) )
| ( p302(X1)
& p502(X1) )
| ( p302(X1)
& p602(X1) )
| ( p402(X1)
& p502(X1) )
| ( p402(X1)
& p602(X1) )
| ( p502(X1)
& p602(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p603(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p603(X1) )
| ( p303(X1)
& p403(X1) )
| ( p303(X1)
& p503(X1) )
| ( p303(X1)
& p603(X1) )
| ( p403(X1)
& p503(X1) )
| ( p403(X1)
& p603(X1) )
| ( p503(X1)
& p603(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p204(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( p404(X1)
& p504(X1) )
| ( p404(X1)
& p604(X1) )
| ( p504(X1)
& p604(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p505(X1)
& p605(X1) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8SaMzs0jqZ/Vampire---4.8_17483',main) ).
fof(f552,plain,
( ~ r1(sK91,sK92)
| spl93_31 ),
inference(resolution,[],[f532,f399]) ).
fof(f399,plain,
! [X12] :
( sP40(X12)
| ~ r1(sK91,X12) ),
inference(cnf_transformation,[],[f223]) ).
fof(f532,plain,
( ~ sP40(sK92)
| spl93_31 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f551,plain,
( ~ spl93_31
| ~ spl93_2
| ~ spl93_22 ),
inference(avatar_split_clause,[],[f550,f486,f411,f530]) ).
fof(f550,plain,
( ~ sP40(sK92)
| ~ spl93_2
| ~ spl93_22 ),
inference(resolution,[],[f549,f250]) ).
fof(f250,plain,
! [X0] :
( sP25(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f549,plain,
( ~ sP25(sK92)
| ~ spl93_2
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f548,f488]) ).
fof(f548,plain,
( ~ sP25(sK92)
| ~ p504(sK92)
| ~ spl93_2
| ~ spl93_22 ),
inference(resolution,[],[f547,f534]) ).
fof(f534,plain,
( ! [X0] :
( ~ r1(sK92,sK55(X0))
| ~ sP25(X0)
| ~ p504(X0) )
| ~ spl93_2 ),
inference(resolution,[],[f328,f412]) ).
fof(f328,plain,
! [X0] :
( ~ p104(sK55(X0))
| ~ p504(X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( ~ p104(sK55(X0))
& r1(X0,sK55(X0)) )
| ~ p504(X0)
| ~ sP25(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f108,f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK55(X0))
& r1(X0,sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ~ p504(X0)
| ~ sP25(X0) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X12] :
( ? [X33] :
( ~ p104(X33)
& r1(X12,X33) )
| ~ p504(X12)
| ~ sP25(X12) ),
inference(nnf_transformation,[],[f32]) ).
fof(f547,plain,
( r1(sK92,sK55(sK92))
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f546,f400]) ).
fof(f546,plain,
( r1(sK92,sK55(sK92))
| ~ r1(sK91,sK92)
| ~ spl93_22 ),
inference(resolution,[],[f545,f488]) ).
fof(f545,plain,
! [X0] :
( ~ p504(X0)
| r1(X0,sK55(X0))
| ~ r1(sK91,X0) ),
inference(resolution,[],[f538,f399]) ).
fof(f538,plain,
! [X0] :
( ~ sP40(X0)
| r1(X0,sK55(X0))
| ~ p504(X0) ),
inference(resolution,[],[f327,f250]) ).
fof(f327,plain,
! [X0] :
( ~ sP25(X0)
| ~ p504(X0)
| r1(X0,sK55(X0)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f533,plain,
( ~ spl93_31
| ~ spl93_27
| ~ spl93_22 ),
inference(avatar_split_clause,[],[f528,f486,f507,f530]) ).
fof(f528,plain,
( ~ p604(sK92)
| ~ sP40(sK92)
| ~ spl93_22 ),
inference(resolution,[],[f488,f239]) ).
fof(f239,plain,
! [X0] :
( ~ p504(X0)
| ~ p604(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f522,plain,
( spl93_26
| spl93_27
| spl93_28
| spl93_29
| spl93_30 ),
inference(avatar_split_clause,[],[f401,f519,f515,f511,f507,f503]) ).
fof(f401,plain,
( p601(sK92)
| p602(sK92)
| p603(sK92)
| p604(sK92)
| p605(sK92) ),
inference(cnf_transformation,[],[f223]) ).
fof(f501,plain,
( spl93_21
| spl93_22
| spl93_23
| spl93_24
| spl93_25 ),
inference(avatar_split_clause,[],[f402,f498,f494,f490,f486,f482]) ).
fof(f402,plain,
( p501(sK92)
| p502(sK92)
| p503(sK92)
| p504(sK92)
| p505(sK92) ),
inference(cnf_transformation,[],[f223]) ).
fof(f480,plain,
( spl93_16
| spl93_17
| spl93_18
| spl93_19
| spl93_20 ),
inference(avatar_split_clause,[],[f403,f477,f473,f469,f465,f462]) ).
fof(f403,plain,
! [X11] :
( p401(sK92)
| p402(sK92)
| p403(sK92)
| p404(sK92)
| p405(X11)
| ~ r1(sK92,X11) ),
inference(cnf_transformation,[],[f223]) ).
fof(f460,plain,
( spl93_11
| spl93_12
| spl93_13
| spl93_14
| spl93_15 ),
inference(avatar_split_clause,[],[f404,f457,f453,f449,f446,f443]) ).
fof(f404,plain,
! [X10,X9] :
( p301(sK92)
| p302(sK92)
| p303(sK92)
| p304(X9)
| ~ r1(sK92,X9)
| p305(X10)
| ~ r1(sK92,X10) ),
inference(cnf_transformation,[],[f223]) ).
fof(f441,plain,
( spl93_6
| spl93_7
| spl93_8
| spl93_9
| spl93_10 ),
inference(avatar_split_clause,[],[f405,f438,f434,f431,f428,f425]) ).
fof(f405,plain,
! [X8,X6,X7] :
( p201(sK92)
| p202(sK92)
| p203(X6)
| ~ r1(sK92,X6)
| p204(X7)
| ~ r1(sK92,X7)
| p205(X8)
| ~ r1(sK92,X8) ),
inference(cnf_transformation,[],[f223]) ).
fof(f423,plain,
( spl93_1
| spl93_2
| spl93_3
| spl93_4
| spl93_5 ),
inference(avatar_split_clause,[],[f406,f420,f417,f414,f411,f408]) ).
fof(f406,plain,
! [X2,X3,X4,X5] :
( p101(sK92)
| p102(X2)
| ~ r1(sK92,X2)
| p103(X3)
| ~ r1(sK92,X3)
| p104(X4)
| ~ r1(sK92,X4)
| p105(X5)
| ~ r1(sK92,X5) ),
inference(cnf_transformation,[],[f223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL648+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 16:32:04 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.8SaMzs0jqZ/Vampire---4.8_17483
% 0.59/0.76 % (17821)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.76 % (17815)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76 % (17817)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76 % (17816)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.76 % (17818)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.76 % (17819)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76 % (17820)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.76 % (17822)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.77 % (17822)Refutation not found, incomplete strategy% (17822)------------------------------
% 0.60/0.77 % (17822)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (17822)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (17822)Memory used [KB]: 1319
% 0.60/0.77 % (17822)Time elapsed: 0.006 s
% 0.60/0.77 % (17822)Instructions burned: 8 (million)
% 0.60/0.77 % (17822)------------------------------
% 0.60/0.77 % (17822)------------------------------
% 0.60/0.77 % (17826)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.78 % (17815)Instruction limit reached!
% 0.60/0.78 % (17815)------------------------------
% 0.60/0.78 % (17815)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (17815)Termination reason: Unknown
% 0.60/0.78 % (17815)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (17815)Memory used [KB]: 1823
% 0.60/0.78 % (17815)Time elapsed: 0.019 s
% 0.60/0.78 % (17815)Instructions burned: 34 (million)
% 0.60/0.78 % (17815)------------------------------
% 0.60/0.78 % (17815)------------------------------
% 0.60/0.78 % (17819)Instruction limit reached!
% 0.60/0.78 % (17819)------------------------------
% 0.60/0.78 % (17819)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (17819)Termination reason: Unknown
% 0.60/0.78 % (17819)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (17819)Memory used [KB]: 2222
% 0.60/0.78 % (17819)Time elapsed: 0.019 s
% 0.60/0.78 % (17819)Instructions burned: 34 (million)
% 0.60/0.78 % (17819)------------------------------
% 0.60/0.78 % (17819)------------------------------
% 0.60/0.78 % (17818)Instruction limit reached!
% 0.60/0.78 % (17818)------------------------------
% 0.60/0.78 % (17818)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (17818)Termination reason: Unknown
% 0.60/0.78 % (17818)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (17818)Memory used [KB]: 1871
% 0.60/0.78 % (17818)Time elapsed: 0.020 s
% 0.60/0.78 % (17818)Instructions burned: 33 (million)
% 0.60/0.78 % (17818)------------------------------
% 0.60/0.78 % (17818)------------------------------
% 0.60/0.78 % (17826)Refutation not found, incomplete strategy% (17826)------------------------------
% 0.60/0.78 % (17826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (17826)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (17826)Memory used [KB]: 1276
% 0.60/0.78 % (17826)Time elapsed: 0.009 s
% 0.60/0.78 % (17826)Instructions burned: 16 (million)
% 0.60/0.78 % (17826)------------------------------
% 0.60/0.78 % (17826)------------------------------
% 0.60/0.78 % (17830)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.78 % (17831)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.78 % (17821)Instruction limit reached!
% 0.60/0.78 % (17821)------------------------------
% 0.60/0.78 % (17821)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (17821)Termination reason: Unknown
% 0.60/0.78 % (17821)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (17821)Memory used [KB]: 2760
% 0.60/0.78 % (17821)Time elapsed: 0.025 s
% 0.60/0.78 % (17821)Instructions burned: 86 (million)
% 0.60/0.78 % (17821)------------------------------
% 0.60/0.78 % (17821)------------------------------
% 0.60/0.78 % (17832)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.78 % (17820)Instruction limit reached!
% 0.60/0.78 % (17820)------------------------------
% 0.60/0.78 % (17820)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (17820)Termination reason: Unknown
% 0.60/0.78 % (17820)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (17820)Memory used [KB]: 2522
% 0.60/0.78 % (17834)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.60/0.78 % (17820)Time elapsed: 0.025 s
% 0.60/0.78 % (17820)Instructions burned: 46 (million)
% 0.60/0.78 % (17820)------------------------------
% 0.60/0.78 % (17820)------------------------------
% 0.60/0.78 % (17837)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.60/0.79 % (17817)First to succeed.
% 0.60/0.79 % (17839)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.60/0.80 % (17837)Instruction limit reached!
% 0.60/0.80 % (17837)------------------------------
% 0.60/0.80 % (17837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (17837)Termination reason: Unknown
% 0.60/0.80 % (17837)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (17837)Memory used [KB]: 1451
% 0.60/0.80 % (17837)Time elapsed: 0.013 s
% 0.60/0.80 % (17837)Instructions burned: 42 (million)
% 0.60/0.80 % (17837)------------------------------
% 0.60/0.80 % (17837)------------------------------
% 0.60/0.80 % (17844)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.80 % (17830)Instruction limit reached!
% 0.60/0.80 % (17830)------------------------------
% 0.60/0.80 % (17830)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (17830)Termination reason: Unknown
% 0.60/0.80 % (17830)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (17830)Memory used [KB]: 2106
% 0.60/0.80 % (17830)Time elapsed: 0.024 s
% 0.60/0.80 % (17830)Instructions burned: 51 (million)
% 0.60/0.80 % (17830)------------------------------
% 0.60/0.80 % (17830)------------------------------
% 0.77/0.80 % (17816)Also succeeded, but the first one will report.
% 0.77/0.81 % (17817)Refutation found. Thanks to Tanya!
% 0.77/0.81 % SZS status Theorem for Vampire---4
% 0.77/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.82 % (17817)------------------------------
% 0.77/0.82 % (17817)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.82 % (17817)Termination reason: Refutation
% 0.77/0.82
% 0.77/0.82 % (17817)Memory used [KB]: 1763
% 0.77/0.82 % (17817)Time elapsed: 0.046 s
% 0.77/0.82 % (17817)Instructions burned: 85 (million)
% 0.77/0.82 % (17817)------------------------------
% 0.77/0.82 % (17817)------------------------------
% 0.77/0.82 % (17653)Success in time 0.426 s
% 0.77/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------