TSTP Solution File: LCL648+1.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL648+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Tue Apr 30 13:47:13 EDT 2024
% Result : Theorem 0.23s 0.42s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 148
% Syntax : Number of formulae : 1033 ( 43 unt; 0 def)
% Number of atoms : 5116 ( 0 equ)
% Maximal formula atoms : 242 ( 4 avg)
% Number of connectives : 7082 (2999 ~;2833 |;1144 &)
% ( 54 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 127 ( 126 usr; 55 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 2 con; 0-1 aty)
% Number of variables : 1067 ( 753 !; 314 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2561,plain,
$false,
inference(avatar_sat_refutation,[],[f423,f441,f460,f480,f501,f522,f580,f585,f597,f625,f630,f635,f645,f668,f673,f699,f713,f723,f733,f743,f757,f767,f777,f797,f807,f843,f861,f865,f881,f886,f902,f909,f911,f915,f948,f967,f973,f975,f977,f990,f993,f1015,f1017,f1044,f1052,f1070,f1079,f1097,f1125,f1145,f1168,f1191,f1227,f1232,f1243,f1266,f1274,f1319,f1341,f1359,f1361,f1385,f1391,f1397,f1432,f1455,f1488,f1496,f1503,f1505,f1516,f1550,f1556,f1558,f1573,f1600,f1607,f1642,f1694,f1712,f1783,f1785,f1795,f1814,f1844,f1854,f1864,f1903,f1920,f1966,f1975,f1990,f2050,f2058,f2072,f2077,f2117,f2118,f2162,f2164,f2197,f2206,f2230,f2237,f2239,f2245,f2307,f2309,f2325,f2332,f2339,f2407,f2473,f2558,f2560]) ).
fof(f2560,plain,
( spl93_49
| ~ spl93_16
| ~ spl93_50 ),
inference(avatar_split_clause,[],[f2559,f764,f462,f760]) ).
fof(f760,plain,
( spl93_49
<=> r1(sK92,sK83(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_49])]) ).
fof(f462,plain,
( spl93_16
<=> ! [X11] :
( p405(X11)
| ~ r1(sK92,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_16])]) ).
fof(f764,plain,
( spl93_50
<=> r1(sK92,sK84(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_50])]) ).
fof(f2559,plain,
( r1(sK92,sK83(sK92))
| ~ spl93_16
| ~ spl93_50 ),
inference(subsumption_resolution,[],[f2544,f535]) ).
fof(f535,plain,
sP3(sK92),
inference(resolution,[],[f523,f236]) ).
fof(f236,plain,
! [X0] :
( ~ sP40(X0)
| sP3(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(f523,plain,
sP40(sK92),
inference(resolution,[],[f399,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(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(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(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(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(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(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(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(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(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(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(f17,plain,
! [X12] :
( ? [X62] :
( ~ p405(X62)
& r1(X12,X62) )
| ~ p605(X12)
| ~ sP10(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
! [X12] :
( ? [X61] :
( ~ p405(X61)
& r1(X12,X61) )
| ~ p505(X12)
| ~ sP11(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
! [X12] :
( ? [X60] :
( ~ p305(X60)
& r1(X12,X60) )
| ~ p605(X12)
| ~ sP12(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
! [X12] :
( ? [X59] :
( ~ p305(X59)
& r1(X12,X59) )
| ~ p505(X12)
| ~ sP13(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
! [X12] :
( ? [X56] :
( ~ p205(X56)
& r1(X12,X56) )
| ~ p605(X12)
| ~ sP14(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
! [X12] :
( ? [X55] :
( ~ p205(X55)
& r1(X12,X55) )
| ~ p505(X12)
| ~ sP15(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
! [X12] :
( ? [X50] :
( ~ p105(X50)
& r1(X12,X50) )
| ~ p605(X12)
| ~ sP16(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
! [X12] :
( ? [X49] :
( ~ p105(X49)
& r1(X12,X49) )
| ~ p505(X12)
| ~ sP17(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
! [X12] :
( ? [X42] :
( ~ p304(X42)
& r1(X12,X42) )
| ~ p604(X12)
| ~ sP18(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
! [X12] :
( ? [X41] :
( ~ p304(X41)
& r1(X12,X41) )
| ~ p504(X12)
| ~ sP19(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
! [X12] :
( ? [X40] :
( ~ p304(X40)
& r1(X12,X40) )
| ~ p404(X12)
| ~ sP20(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
! [X12] :
( ? [X39] :
( ~ p204(X39)
& r1(X12,X39) )
| ~ p604(X12)
| ~ sP21(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
! [X12] :
( ? [X38] :
( ~ p204(X38)
& r1(X12,X38) )
| ~ p504(X12)
| ~ sP22(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
! [X12] :
( ? [X37] :
( ~ p204(X37)
& r1(X12,X37) )
| ~ p404(X12)
| ~ sP23(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
! [X12] :
( ? [X34] :
( ~ p104(X34)
& r1(X12,X34) )
| ~ p604(X12)
| ~ sP24(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
! [X12] :
( ? [X33] :
( ~ p104(X33)
& r1(X12,X33) )
| ~ p504(X12)
| ~ sP25(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f33,plain,
! [X12] :
( ? [X32] :
( ~ p104(X32)
& r1(X12,X32) )
| ~ p404(X12)
| ~ sP26(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f34,plain,
! [X12] :
( ? [X27] :
( ~ p203(X27)
& r1(X12,X27) )
| ~ p603(X12)
| ~ sP27(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f35,plain,
! [X12] :
( ? [X26] :
( ~ p203(X26)
& r1(X12,X26) )
| ~ p503(X12)
| ~ sP28(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f36,plain,
! [X12] :
( ? [X25] :
( ~ p203(X25)
& r1(X12,X25) )
| ~ p403(X12)
| ~ sP29(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f37,plain,
! [X12] :
( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ~ p303(X12)
| ~ sP30(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
! [X12] :
( ? [X23] :
( ~ p103(X23)
& r1(X12,X23) )
| ~ p603(X12)
| ~ sP31(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
! [X12] :
( ? [X22] :
( ~ p103(X22)
& r1(X12,X22) )
| ~ p503(X12)
| ~ sP32(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f40,plain,
! [X12] :
( ? [X21] :
( ~ p103(X21)
& r1(X12,X21) )
| ~ p403(X12)
| ~ sP33(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f41,plain,
! [X12] :
( ? [X20] :
( ~ p103(X20)
& r1(X12,X20) )
| ~ p303(X12)
| ~ sP34(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f42,plain,
! [X12] :
( ? [X17] :
( ~ p102(X17)
& r1(X12,X17) )
| ~ p602(X12)
| ~ sP35(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
! [X12] :
( ? [X16] :
( ~ p102(X16)
& r1(X12,X16) )
| ~ p502(X12)
| ~ sP36(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
! [X12] :
( ? [X15] :
( ~ p102(X15)
& r1(X12,X15) )
| ~ p402(X12)
| ~ sP37(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
! [X12] :
( ? [X14] :
( ~ p102(X14)
& r1(X12,X14) )
| ~ p302(X12)
| ~ sP38(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
! [X12] :
( ? [X13] :
( ~ p102(X13)
& r1(X12,X13) )
| ~ p202(X12)
| ~ sP39(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
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/benchmark/theBenchmark.p',main) ).
fof(f399,plain,
! [X12] :
( ~ r1(sK91,X12)
| sP40(X12) ),
inference(cnf_transformation,[],[f223]) ).
fof(f2544,plain,
( r1(sK92,sK83(sK92))
| ~ sP3(sK92)
| ~ spl93_16
| ~ spl93_50 ),
inference(resolution,[],[f2383,f384]) ).
fof(f384,plain,
! [X0] :
( ~ p405(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(f2383,plain,
( p405(sK84(sK92))
| ~ spl93_16
| ~ spl93_50 ),
inference(resolution,[],[f463,f766]) ).
fof(f766,plain,
( r1(sK92,sK84(sK92))
| ~ spl93_50 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f463,plain,
( ! [X11] :
( ~ r1(sK92,X11)
| p405(X11) )
| ~ spl93_16 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f2558,plain,
( ~ spl93_1
| ~ spl93_16
| ~ spl93_49
| ~ spl93_50 ),
inference(avatar_contradiction_clause,[],[f2557]) ).
fof(f2557,plain,
( $false
| ~ spl93_1
| ~ spl93_16
| ~ spl93_49
| ~ spl93_50 ),
inference(subsumption_resolution,[],[f2556,f535]) ).
fof(f2556,plain,
( ~ sP3(sK92)
| ~ spl93_1
| ~ spl93_16
| ~ spl93_49
| ~ spl93_50 ),
inference(subsumption_resolution,[],[f2555,f2383]) ).
fof(f2555,plain,
( ~ p405(sK84(sK92))
| ~ sP3(sK92)
| ~ spl93_1
| ~ spl93_49 ),
inference(resolution,[],[f2501,f386]) ).
fof(f386,plain,
! [X0] :
( ~ p105(sK83(X0))
| ~ p405(sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f2501,plain,
( p105(sK83(sK92))
| ~ spl93_1
| ~ spl93_49 ),
inference(resolution,[],[f409,f762]) ).
fof(f762,plain,
( r1(sK92,sK83(sK92))
| ~ spl93_49 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f409,plain,
( ! [X5] :
( ~ r1(sK92,X5)
| p105(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(f2473,plain,
( ~ spl93_26
| ~ spl93_16
| ~ spl93_33 ),
inference(avatar_split_clause,[],[f2472,f627,f462,f503]) ).
fof(f503,plain,
( spl93_26
<=> p605(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_26])]) ).
fof(f627,plain,
( spl93_33
<=> r1(sK92,sK70(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_33])]) ).
fof(f2472,plain,
( ~ p605(sK92)
| ~ spl93_16
| ~ spl93_33 ),
inference(subsumption_resolution,[],[f2468,f524]) ).
fof(f524,plain,
sP10(sK92),
inference(resolution,[],[f523,f225]) ).
fof(f225,plain,
! [X0] :
( ~ sP40(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2468,plain,
( ~ p605(sK92)
| ~ sP10(sK92)
| ~ spl93_16
| ~ spl93_33 ),
inference(resolution,[],[f2373,f358]) ).
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(f2373,plain,
( p405(sK70(sK92))
| ~ spl93_16
| ~ spl93_33 ),
inference(resolution,[],[f463,f629]) ).
fof(f629,plain,
( r1(sK92,sK70(sK92))
| ~ spl93_33 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f2407,plain,
( ~ spl93_16
| ~ spl93_21 ),
inference(avatar_contradiction_clause,[],[f2406]) ).
fof(f2406,plain,
( $false
| ~ spl93_16
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f2405,f525]) ).
fof(f525,plain,
sP11(sK92),
inference(resolution,[],[f523,f226]) ).
fof(f226,plain,
! [X0] :
( ~ sP40(X0)
| sP11(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2405,plain,
( ~ sP11(sK92)
| ~ spl93_16
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f2404,f484]) ).
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(f2404,plain,
( ~ p505(sK92)
| ~ sP11(sK92)
| ~ spl93_16
| ~ spl93_21 ),
inference(resolution,[],[f2396,f356]) ).
fof(f356,plain,
! [X0] :
( ~ p405(sK69(X0))
| ~ p505(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(f2396,plain,
( p405(sK69(sK92))
| ~ spl93_16
| ~ spl93_21 ),
inference(resolution,[],[f2344,f463]) ).
fof(f2344,plain,
( r1(sK92,sK69(sK92))
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f2340,f525]) ).
fof(f2340,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(f2339,plain,
( ~ spl93_29
| ~ spl93_14 ),
inference(avatar_split_clause,[],[f2338,f453,f515]) ).
fof(f515,plain,
( spl93_29
<=> p602(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_29])]) ).
fof(f453,plain,
( spl93_14
<=> p302(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_14])]) ).
fof(f2338,plain,
( ~ p602(sK92)
| ~ spl93_14 ),
inference(subsumption_resolution,[],[f2336,f523]) ).
fof(f2336,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(f455,plain,
( p302(sK92)
| ~ spl93_14 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f2332,plain,
( ~ spl93_20
| ~ spl93_5 ),
inference(avatar_split_clause,[],[f2331,f420,f477]) ).
fof(f477,plain,
( spl93_20
<=> p401(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_20])]) ).
fof(f420,plain,
( spl93_5
<=> p101(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_5])]) ).
fof(f2331,plain,
( ~ p401(sK92)
| ~ spl93_5 ),
inference(subsumption_resolution,[],[f2328,f523]) ).
fof(f2328,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(f422,plain,
( p101(sK92)
| ~ spl93_5 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f2325,plain,
( ~ spl93_22
| ~ spl93_27 ),
inference(avatar_split_clause,[],[f2324,f507,f486]) ).
fof(f486,plain,
( spl93_22
<=> p504(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_22])]) ).
fof(f507,plain,
( spl93_27
<=> p604(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_27])]) ).
fof(f2324,plain,
( ~ p504(sK92)
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f2317,f523]) ).
fof(f2317,plain,
( ~ p504(sK92)
| ~ sP40(sK92)
| ~ spl93_27 ),
inference(resolution,[],[f509,f239]) ).
fof(f239,plain,
! [X0] :
( ~ p604(X0)
| ~ p504(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f509,plain,
( p604(sK92)
| ~ spl93_27 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f2309,plain,
( spl93_47
| ~ spl93_11
| ~ spl93_48 ),
inference(avatar_split_clause,[],[f2308,f754,f443,f750]) ).
fof(f750,plain,
( spl93_47
<=> r1(sK92,sK81(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_47])]) ).
fof(f443,plain,
( spl93_11
<=> ! [X10] :
( p305(X10)
| ~ r1(sK92,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_11])]) ).
fof(f754,plain,
( spl93_48
<=> r1(sK92,sK82(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_48])]) ).
fof(f2308,plain,
( r1(sK92,sK81(sK92))
| ~ spl93_11
| ~ spl93_48 ),
inference(subsumption_resolution,[],[f2305,f536]) ).
fof(f536,plain,
sP4(sK92),
inference(resolution,[],[f523,f237]) ).
fof(f237,plain,
! [X0] :
( ~ sP40(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2305,plain,
( r1(sK92,sK81(sK92))
| ~ sP4(sK92)
| ~ spl93_11
| ~ spl93_48 ),
inference(resolution,[],[f2276,f380]) ).
fof(f380,plain,
! [X0] :
( ~ p305(sK82(X0))
| r1(X0,sK81(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(f2276,plain,
( p305(sK82(sK92))
| ~ spl93_11
| ~ spl93_48 ),
inference(resolution,[],[f444,f756]) ).
fof(f756,plain,
( r1(sK92,sK82(sK92))
| ~ spl93_48 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f444,plain,
( ! [X10] :
( ~ r1(sK92,X10)
| p305(X10) )
| ~ spl93_11 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f2307,plain,
( ~ spl93_1
| ~ spl93_11
| ~ spl93_47
| ~ spl93_48 ),
inference(avatar_contradiction_clause,[],[f2306]) ).
fof(f2306,plain,
( $false
| ~ spl93_1
| ~ spl93_11
| ~ spl93_47
| ~ spl93_48 ),
inference(subsumption_resolution,[],[f2300,f2276]) ).
fof(f2300,plain,
( ~ p305(sK82(sK92))
| ~ spl93_1
| ~ spl93_47 ),
inference(subsumption_resolution,[],[f2299,f536]) ).
fof(f2299,plain,
( ~ p305(sK82(sK92))
| ~ sP4(sK92)
| ~ spl93_1
| ~ spl93_47 ),
inference(resolution,[],[f2182,f382]) ).
fof(f382,plain,
! [X0] :
( ~ p105(sK81(X0))
| ~ p305(sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f2182,plain,
( p105(sK81(sK92))
| ~ spl93_1
| ~ spl93_47 ),
inference(resolution,[],[f409,f752]) ).
fof(f752,plain,
( r1(sK92,sK81(sK92))
| ~ spl93_47 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f2245,plain,
( ~ spl93_30
| ~ spl93_10 ),
inference(avatar_split_clause,[],[f2244,f438,f519]) ).
fof(f519,plain,
( spl93_30
<=> p601(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_30])]) ).
fof(f438,plain,
( spl93_10
<=> p201(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_10])]) ).
fof(f2244,plain,
( ~ p601(sK92)
| ~ spl93_10 ),
inference(subsumption_resolution,[],[f2243,f523]) ).
fof(f2243,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(f440,plain,
( p201(sK92)
| ~ spl93_10 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f2239,plain,
( ~ spl93_24
| ~ spl93_14 ),
inference(avatar_split_clause,[],[f2238,f453,f494]) ).
fof(f494,plain,
( spl93_24
<=> p502(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_24])]) ).
fof(f2238,plain,
( ~ p502(sK92)
| ~ spl93_14 ),
inference(subsumption_resolution,[],[f2233,f523]) ).
fof(f2233,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(f2237,plain,
( ~ spl93_19
| ~ spl93_14 ),
inference(avatar_split_clause,[],[f2236,f453,f473]) ).
fof(f473,plain,
( spl93_19
<=> p402(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_19])]) ).
fof(f2236,plain,
( ~ p402(sK92)
| ~ spl93_14 ),
inference(subsumption_resolution,[],[f2232,f523]) ).
fof(f2232,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(f2230,plain,
( ~ spl93_1
| ~ spl93_21 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2229,plain,
( $false
| ~ spl93_1
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f2228,f534]) ).
fof(f534,plain,
sP17(sK92),
inference(resolution,[],[f523,f235]) ).
fof(f235,plain,
! [X0] :
( ~ sP40(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2228,plain,
( ~ sP17(sK92)
| ~ spl93_1
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f2227,f484]) ).
fof(f2227,plain,
( ~ p505(sK92)
| ~ sP17(sK92)
| ~ spl93_1
| ~ spl93_21 ),
inference(resolution,[],[f2225,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(f2225,plain,
( p105(sK63(sK92))
| ~ spl93_1
| ~ spl93_21 ),
inference(resolution,[],[f2214,f409]) ).
fof(f2214,plain,
( r1(sK92,sK63(sK92))
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f2210,f534]) ).
fof(f2210,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(f2206,plain,
( ~ spl93_23
| ~ spl93_13 ),
inference(avatar_split_clause,[],[f2205,f449,f490]) ).
fof(f490,plain,
( spl93_23
<=> p503(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_23])]) ).
fof(f449,plain,
( spl93_13
<=> p303(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_13])]) ).
fof(f2205,plain,
( ~ p503(sK92)
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f2201,f523]) ).
fof(f2201,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(f451,plain,
( p303(sK92)
| ~ spl93_13 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f2197,plain,
( ~ spl93_26
| ~ spl93_1
| ~ spl93_36 ),
inference(avatar_split_clause,[],[f2196,f642,f408,f503]) ).
fof(f642,plain,
( spl93_36
<=> r1(sK92,sK64(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_36])]) ).
fof(f2196,plain,
( ~ p605(sK92)
| ~ spl93_1
| ~ spl93_36 ),
inference(subsumption_resolution,[],[f2192,f533]) ).
fof(f533,plain,
sP16(sK92),
inference(resolution,[],[f523,f234]) ).
fof(f234,plain,
! [X0] :
( ~ sP40(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2192,plain,
( ~ p605(sK92)
| ~ sP16(sK92)
| ~ spl93_1
| ~ spl93_36 ),
inference(resolution,[],[f2170,f346]) ).
fof(f346,plain,
! [X0] :
( ~ p105(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(f2170,plain,
( p105(sK64(sK92))
| ~ spl93_1
| ~ spl93_36 ),
inference(resolution,[],[f409,f644]) ).
fof(f644,plain,
( r1(sK92,sK64(sK92))
| ~ spl93_36 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f2164,plain,
( spl93_39
| ~ spl93_7
| ~ spl93_40 ),
inference(avatar_split_clause,[],[f2163,f710,f428,f706]) ).
fof(f706,plain,
( spl93_39
<=> r1(sK92,sK73(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_39])]) ).
fof(f428,plain,
( spl93_7
<=> ! [X7] :
( p204(X7)
| ~ r1(sK92,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_7])]) ).
fof(f710,plain,
( spl93_40
<=> r1(sK92,sK74(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_40])]) ).
fof(f2163,plain,
( r1(sK92,sK73(sK92))
| ~ spl93_7
| ~ spl93_40 ),
inference(subsumption_resolution,[],[f2153,f549]) ).
fof(f549,plain,
sP8(sK92),
inference(resolution,[],[f523,f253]) ).
fof(f253,plain,
! [X0] :
( ~ sP40(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2153,plain,
( r1(sK92,sK73(sK92))
| ~ sP8(sK92)
| ~ spl93_7
| ~ spl93_40 ),
inference(resolution,[],[f2097,f364]) ).
fof(f364,plain,
! [X0] :
( ~ p204(sK74(X0))
| r1(X0,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(f2097,plain,
( p204(sK74(sK92))
| ~ spl93_7
| ~ spl93_40 ),
inference(resolution,[],[f429,f712]) ).
fof(f712,plain,
( r1(sK92,sK74(sK92))
| ~ spl93_40 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f429,plain,
( ! [X7] :
( ~ r1(sK92,X7)
| p204(X7) )
| ~ spl93_7 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f2162,plain,
( ~ spl93_2
| ~ spl93_7
| ~ spl93_39
| ~ spl93_40 ),
inference(avatar_contradiction_clause,[],[f2161]) ).
fof(f2161,plain,
( $false
| ~ spl93_2
| ~ spl93_7
| ~ spl93_39
| ~ spl93_40 ),
inference(subsumption_resolution,[],[f2160,f549]) ).
fof(f2160,plain,
( ~ sP8(sK92)
| ~ spl93_2
| ~ spl93_7
| ~ spl93_39
| ~ spl93_40 ),
inference(subsumption_resolution,[],[f2159,f2097]) ).
fof(f2159,plain,
( ~ p204(sK74(sK92))
| ~ sP8(sK92)
| ~ spl93_2
| ~ spl93_39 ),
inference(resolution,[],[f2132,f366]) ).
fof(f366,plain,
! [X0] :
( ~ p104(sK73(X0))
| ~ p204(sK74(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f2132,plain,
( p104(sK73(sK92))
| ~ spl93_2
| ~ spl93_39 ),
inference(resolution,[],[f412,f708]) ).
fof(f708,plain,
( r1(sK92,sK73(sK92))
| ~ spl93_39 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f412,plain,
( ! [X4] :
( ~ r1(sK92,X4)
| p104(X4) )
| ~ spl93_2 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl93_2
<=> ! [X4] :
( p104(X4)
| ~ r1(sK92,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_2])]) ).
fof(f2118,plain,
( ~ spl93_21
| ~ spl93_26 ),
inference(avatar_split_clause,[],[f564,f503,f482]) ).
fof(f564,plain,
( ~ p605(sK92)
| ~ p505(sK92) ),
inference(resolution,[],[f224,f523]) ).
fof(f224,plain,
! [X0] :
( ~ sP40(X0)
| ~ p605(X0)
| ~ p505(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2117,plain,
( ~ spl93_7
| ~ spl93_27 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2116,plain,
( $false
| ~ spl93_7
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f2115,f541]) ).
fof(f541,plain,
sP21(sK92),
inference(resolution,[],[f523,f245]) ).
fof(f245,plain,
! [X0] :
( ~ sP40(X0)
| sP21(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2115,plain,
( ~ sP21(sK92)
| ~ spl93_7
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f2114,f509]) ).
fof(f2114,plain,
( ~ p604(sK92)
| ~ sP21(sK92)
| ~ spl93_7
| ~ spl93_27 ),
inference(resolution,[],[f2085,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(f2085,plain,
( p204(sK59(sK92))
| ~ spl93_7
| ~ spl93_27 ),
inference(resolution,[],[f429,f2005]) ).
fof(f2005,plain,
( r1(sK92,sK59(sK92))
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f2001,f541]) ).
fof(f2001,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(f2077,plain,
( ~ spl93_20
| ~ spl93_15 ),
inference(avatar_split_clause,[],[f2076,f457,f477]) ).
fof(f457,plain,
( spl93_15
<=> p301(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_15])]) ).
fof(f2076,plain,
( ~ p401(sK92)
| ~ spl93_15 ),
inference(subsumption_resolution,[],[f2073,f523]) ).
fof(f2073,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(f459,plain,
( p301(sK92)
| ~ spl93_15 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f2072,plain,
( ~ spl93_3
| ~ spl93_13 ),
inference(avatar_contradiction_clause,[],[f2071]) ).
fof(f2071,plain,
( $false
| ~ spl93_3
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f2070,f557]) ).
fof(f557,plain,
sP34(sK92),
inference(resolution,[],[f523,f267]) ).
fof(f267,plain,
! [X0] :
( ~ sP40(X0)
| sP34(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2070,plain,
( ~ sP34(sK92)
| ~ spl93_3
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f2069,f451]) ).
fof(f2069,plain,
( ~ p303(sK92)
| ~ sP34(sK92)
| ~ spl93_3
| ~ spl93_13 ),
inference(resolution,[],[f2068,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(f2068,plain,
( p103(sK46(sK92))
| ~ spl93_3
| ~ spl93_13 ),
inference(resolution,[],[f2065,f415]) ).
fof(f415,plain,
( ! [X3] :
( ~ r1(sK92,X3)
| p103(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(f2065,plain,
( r1(sK92,sK46(sK92))
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f2060,f557]) ).
fof(f2060,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(f2058,plain,
( ~ spl93_14
| ~ spl93_9 ),
inference(avatar_split_clause,[],[f2057,f434,f453]) ).
fof(f434,plain,
( spl93_9
<=> p202(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_9])]) ).
fof(f2057,plain,
( ~ p302(sK92)
| ~ spl93_9 ),
inference(subsumption_resolution,[],[f2052,f523]) ).
fof(f2052,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(f436,plain,
( p202(sK92)
| ~ spl93_9 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f2050,plain,
( ~ spl93_8
| spl93_37
| ~ spl93_38 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2049,plain,
( $false
| ~ spl93_8
| spl93_37
| ~ spl93_38 ),
inference(subsumption_resolution,[],[f2048,f558]) ).
fof(f558,plain,
sP9(sK92),
inference(resolution,[],[f523,f268]) ).
fof(f268,plain,
! [X0] :
( ~ sP40(X0)
| sP9(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2048,plain,
( ~ sP9(sK92)
| ~ spl93_8
| spl93_37
| ~ spl93_38 ),
inference(subsumption_resolution,[],[f2047,f693]) ).
fof(f693,plain,
( ~ r1(sK92,sK71(sK92))
| spl93_37 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f692,plain,
( spl93_37
<=> r1(sK92,sK71(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_37])]) ).
fof(f2047,plain,
( r1(sK92,sK71(sK92))
| ~ sP9(sK92)
| ~ spl93_8
| ~ spl93_38 ),
inference(resolution,[],[f1934,f360]) ).
fof(f360,plain,
! [X0] :
( ~ p203(sK72(X0))
| r1(X0,sK71(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(f1934,plain,
( p203(sK72(sK92))
| ~ spl93_8
| ~ spl93_38 ),
inference(resolution,[],[f432,f698]) ).
fof(f698,plain,
( r1(sK92,sK72(sK92))
| ~ spl93_38 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl93_38
<=> r1(sK92,sK72(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_38])]) ).
fof(f432,plain,
( ! [X6] :
( ~ r1(sK92,X6)
| p203(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(f1990,plain,
( ~ spl93_8
| ~ spl93_13 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1989,plain,
( $false
| ~ spl93_8
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f1988,f553]) ).
fof(f553,plain,
sP30(sK92),
inference(resolution,[],[f523,f263]) ).
fof(f263,plain,
! [X0] :
( ~ sP40(X0)
| sP30(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1988,plain,
( ~ sP30(sK92)
| ~ spl93_8
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f1987,f451]) ).
fof(f1987,plain,
( ~ p303(sK92)
| ~ sP30(sK92)
| ~ spl93_8
| ~ spl93_13 ),
inference(resolution,[],[f1986,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(f1986,plain,
( p203(sK50(sK92))
| ~ spl93_8
| ~ spl93_13 ),
inference(resolution,[],[f1972,f432]) ).
fof(f1972,plain,
( r1(sK92,sK50(sK92))
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f1967,f553]) ).
fof(f1967,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(f1975,plain,
( ~ spl93_28
| ~ spl93_13 ),
inference(avatar_split_clause,[],[f1974,f449,f511]) ).
fof(f511,plain,
( spl93_28
<=> p603(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_28])]) ).
fof(f1974,plain,
( ~ p603(sK92)
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f1971,f523]) ).
fof(f1971,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(f1966,plain,
( ~ spl93_8
| ~ spl93_28 ),
inference(avatar_contradiction_clause,[],[f1965]) ).
fof(f1965,plain,
( $false
| ~ spl93_8
| ~ spl93_28 ),
inference(subsumption_resolution,[],[f1964,f550]) ).
fof(f550,plain,
sP27(sK92),
inference(resolution,[],[f523,f260]) ).
fof(f260,plain,
! [X0] :
( ~ sP40(X0)
| sP27(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1964,plain,
( ~ sP27(sK92)
| ~ spl93_8
| ~ spl93_28 ),
inference(subsumption_resolution,[],[f1963,f513]) ).
fof(f513,plain,
( p603(sK92)
| ~ spl93_28 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f1963,plain,
( ~ p603(sK92)
| ~ sP27(sK92)
| ~ spl93_8
| ~ spl93_28 ),
inference(resolution,[],[f1959,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(f1959,plain,
( p203(sK53(sK92))
| ~ spl93_8
| ~ spl93_28 ),
inference(resolution,[],[f1926,f432]) ).
fof(f1926,plain,
( r1(sK92,sK53(sK92))
| ~ spl93_28 ),
inference(subsumption_resolution,[],[f1924,f550]) ).
fof(f1924,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(f1920,plain,
( ~ spl93_27
| ~ spl93_17 ),
inference(avatar_split_clause,[],[f1919,f465,f507]) ).
fof(f465,plain,
( spl93_17
<=> p404(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_17])]) ).
fof(f1919,plain,
( ~ p604(sK92)
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1915,f523]) ).
fof(f1915,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(f467,plain,
( p404(sK92)
| ~ spl93_17 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f1903,plain,
( ~ spl93_4
| ~ spl93_9 ),
inference(avatar_contradiction_clause,[],[f1902]) ).
fof(f1902,plain,
( $false
| ~ spl93_4
| ~ spl93_9 ),
inference(subsumption_resolution,[],[f1901,f563]) ).
fof(f563,plain,
sP39(sK92),
inference(resolution,[],[f523,f283]) ).
fof(f283,plain,
! [X0] :
( ~ sP40(X0)
| sP39(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1901,plain,
( ~ sP39(sK92)
| ~ spl93_4
| ~ spl93_9 ),
inference(subsumption_resolution,[],[f1900,f436]) ).
fof(f1900,plain,
( ~ p202(sK92)
| ~ sP39(sK92)
| ~ spl93_4
| ~ spl93_9 ),
inference(resolution,[],[f1874,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(f1874,plain,
( p102(sK41(sK92))
| ~ spl93_4
| ~ spl93_9 ),
inference(resolution,[],[f418,f1852]) ).
fof(f1852,plain,
( r1(sK92,sK41(sK92))
| ~ spl93_9 ),
inference(subsumption_resolution,[],[f1847,f563]) ).
fof(f1847,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(f418,plain,
( ! [X2] :
( ~ r1(sK92,X2)
| p102(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(f1864,plain,
( ~ spl93_26
| ~ spl93_11
| ~ spl93_34 ),
inference(avatar_split_clause,[],[f1863,f632,f443,f503]) ).
fof(f632,plain,
( spl93_34
<=> r1(sK92,sK68(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_34])]) ).
fof(f1863,plain,
( ~ p605(sK92)
| ~ spl93_11
| ~ spl93_34 ),
inference(subsumption_resolution,[],[f1859,f526]) ).
fof(f526,plain,
sP12(sK92),
inference(resolution,[],[f523,f227]) ).
fof(f227,plain,
! [X0] :
( ~ sP40(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1859,plain,
( ~ p605(sK92)
| ~ sP12(sK92)
| ~ spl93_11
| ~ spl93_34 ),
inference(resolution,[],[f1857,f354]) ).
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(f1857,plain,
( p305(sK68(sK92))
| ~ spl93_11
| ~ spl93_34 ),
inference(resolution,[],[f634,f444]) ).
fof(f634,plain,
( r1(sK92,sK68(sK92))
| ~ spl93_34 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f1854,plain,
( ~ spl93_29
| ~ spl93_9 ),
inference(avatar_split_clause,[],[f1853,f434,f515]) ).
fof(f1853,plain,
( ~ p602(sK92)
| ~ spl93_9 ),
inference(subsumption_resolution,[],[f1851,f523]) ).
fof(f1851,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(f1844,plain,
( ~ spl93_7
| ~ spl93_17 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1843,plain,
( $false
| ~ spl93_7
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1842,f543]) ).
fof(f543,plain,
sP23(sK92),
inference(resolution,[],[f523,f247]) ).
fof(f247,plain,
! [X0] :
( ~ sP40(X0)
| sP23(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1842,plain,
( ~ sP23(sK92)
| ~ spl93_7
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1841,f467]) ).
fof(f1841,plain,
( ~ p404(sK92)
| ~ sP23(sK92)
| ~ spl93_7
| ~ spl93_17 ),
inference(resolution,[],[f1820,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(f1820,plain,
( p204(sK57(sK92))
| ~ spl93_7
| ~ spl93_17 ),
inference(resolution,[],[f429,f1792]) ).
fof(f1792,plain,
( r1(sK92,sK57(sK92))
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1787,f543]) ).
fof(f1787,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(f1814,plain,
( ~ spl93_8
| ~ spl93_23 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1813,plain,
( $false
| ~ spl93_8
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f1812,f551]) ).
fof(f551,plain,
sP28(sK92),
inference(resolution,[],[f523,f261]) ).
fof(f261,plain,
! [X0] :
( ~ sP40(X0)
| sP28(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1812,plain,
( ~ sP28(sK92)
| ~ spl93_8
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f1811,f492]) ).
fof(f492,plain,
( p503(sK92)
| ~ spl93_23 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f1811,plain,
( ~ p503(sK92)
| ~ sP28(sK92)
| ~ spl93_8
| ~ spl93_23 ),
inference(resolution,[],[f1807,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(f1807,plain,
( p203(sK52(sK92))
| ~ spl93_8
| ~ spl93_23 ),
inference(resolution,[],[f1799,f432]) ).
fof(f1799,plain,
( r1(sK92,sK52(sK92))
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f1796,f551]) ).
fof(f1796,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(f1795,plain,
( ~ spl93_22
| ~ spl93_17 ),
inference(avatar_split_clause,[],[f1794,f465,f486]) ).
fof(f1794,plain,
( ~ p504(sK92)
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1789,f523]) ).
fof(f1789,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(f1785,plain,
( spl93_55
| ~ spl93_16
| ~ spl93_56 ),
inference(avatar_split_clause,[],[f1784,f804,f462,f800]) ).
fof(f800,plain,
( spl93_55
<=> r1(sK92,sK89(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_55])]) ).
fof(f804,plain,
( spl93_56
<=> r1(sK92,sK90(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_56])]) ).
fof(f1784,plain,
( r1(sK92,sK89(sK92))
| ~ spl93_16
| ~ spl93_56 ),
inference(subsumption_resolution,[],[f1781,f528]) ).
fof(f528,plain,
sP0(sK92),
inference(resolution,[],[f523,f229]) ).
fof(f229,plain,
! [X0] :
( ~ sP40(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1781,plain,
( r1(sK92,sK89(sK92))
| ~ sP0(sK92)
| ~ spl93_16
| ~ spl93_56 ),
inference(resolution,[],[f1764,f396]) ).
fof(f396,plain,
! [X0] :
( ~ p405(sK90(X0))
| r1(X0,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(f1764,plain,
( p405(sK90(sK92))
| ~ spl93_16
| ~ spl93_56 ),
inference(resolution,[],[f463,f806]) ).
fof(f806,plain,
( r1(sK92,sK90(sK92))
| ~ spl93_56 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f1783,plain,
( ~ spl93_11
| ~ spl93_16
| ~ spl93_55
| ~ spl93_56 ),
inference(avatar_contradiction_clause,[],[f1782]) ).
fof(f1782,plain,
( $false
| ~ spl93_11
| ~ spl93_16
| ~ spl93_55
| ~ spl93_56 ),
inference(subsumption_resolution,[],[f1777,f1764]) ).
fof(f1777,plain,
( ~ p405(sK90(sK92))
| ~ spl93_11
| ~ spl93_55 ),
inference(subsumption_resolution,[],[f1776,f528]) ).
fof(f1776,plain,
( ~ p405(sK90(sK92))
| ~ sP0(sK92)
| ~ spl93_11
| ~ spl93_55 ),
inference(resolution,[],[f1679,f398]) ).
fof(f398,plain,
! [X0] :
( ~ p305(sK89(X0))
| ~ p405(sK90(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1679,plain,
( p305(sK89(sK92))
| ~ spl93_11
| ~ spl93_55 ),
inference(resolution,[],[f444,f802]) ).
fof(f802,plain,
( r1(sK92,sK89(sK92))
| ~ spl93_55 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f1712,plain,
( ~ spl93_11
| ~ spl93_21 ),
inference(avatar_contradiction_clause,[],[f1711]) ).
fof(f1711,plain,
( $false
| ~ spl93_11
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1710,f527]) ).
fof(f527,plain,
sP13(sK92),
inference(resolution,[],[f523,f228]) ).
fof(f228,plain,
! [X0] :
( ~ sP40(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1710,plain,
( ~ sP13(sK92)
| ~ spl93_11
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1709,f484]) ).
fof(f1709,plain,
( ~ p505(sK92)
| ~ sP13(sK92)
| ~ spl93_11
| ~ spl93_21 ),
inference(resolution,[],[f1705,f352]) ).
fof(f352,plain,
! [X0] :
( ~ p305(sK67(X0))
| ~ p505(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(f1705,plain,
( p305(sK67(sK92))
| ~ spl93_11
| ~ spl93_21 ),
inference(resolution,[],[f1700,f444]) ).
fof(f1700,plain,
( r1(sK92,sK67(sK92))
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1696,f527]) ).
fof(f1696,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(f1694,plain,
( ~ spl93_22
| ~ spl93_7
| ~ spl93_31 ),
inference(avatar_split_clause,[],[f1693,f582,f428,f486]) ).
fof(f582,plain,
( spl93_31
<=> r1(sK92,sK58(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_31])]) ).
fof(f1693,plain,
( ~ p504(sK92)
| ~ spl93_7
| ~ spl93_31 ),
inference(subsumption_resolution,[],[f1689,f542]) ).
fof(f542,plain,
sP22(sK92),
inference(resolution,[],[f523,f246]) ).
fof(f246,plain,
! [X0] :
( ~ sP40(X0)
| sP22(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1689,plain,
( ~ p504(sK92)
| ~ sP22(sK92)
| ~ spl93_7
| ~ spl93_31 ),
inference(resolution,[],[f1645,f334]) ).
fof(f334,plain,
! [X0] :
( ~ p204(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(f1645,plain,
( p204(sK58(sK92))
| ~ spl93_7
| ~ spl93_31 ),
inference(resolution,[],[f429,f584]) ).
fof(f584,plain,
( r1(sK92,sK58(sK92))
| ~ spl93_31 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f1642,plain,
( ~ spl93_8
| ~ spl93_18 ),
inference(avatar_contradiction_clause,[],[f1641]) ).
fof(f1641,plain,
( $false
| ~ spl93_8
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1640,f552]) ).
fof(f552,plain,
sP29(sK92),
inference(resolution,[],[f523,f262]) ).
fof(f262,plain,
! [X0] :
( ~ sP40(X0)
| sP29(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1640,plain,
( ~ sP29(sK92)
| ~ spl93_8
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1639,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(f1639,plain,
( ~ p403(sK92)
| ~ sP29(sK92)
| ~ spl93_8
| ~ spl93_18 ),
inference(resolution,[],[f1620,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(f1620,plain,
( p203(sK51(sK92))
| ~ spl93_8
| ~ spl93_18 ),
inference(resolution,[],[f432,f1570]) ).
fof(f1570,plain,
( r1(sK92,sK51(sK92))
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1566,f552]) ).
fof(f1566,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(f1607,plain,
( ~ spl93_30
| ~ spl93_5 ),
inference(avatar_split_clause,[],[f1606,f420,f519]) ).
fof(f1606,plain,
( ~ p601(sK92)
| ~ spl93_5 ),
inference(subsumption_resolution,[],[f1605,f523]) ).
fof(f1605,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(f1600,plain,
( ~ spl93_4
| ~ spl93_14 ),
inference(avatar_contradiction_clause,[],[f1599]) ).
fof(f1599,plain,
( $false
| ~ spl93_4
| ~ spl93_14 ),
inference(subsumption_resolution,[],[f1598,f562]) ).
fof(f562,plain,
sP38(sK92),
inference(resolution,[],[f523,f282]) ).
fof(f282,plain,
! [X0] :
( ~ sP40(X0)
| sP38(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1598,plain,
( ~ sP38(sK92)
| ~ spl93_4
| ~ spl93_14 ),
inference(subsumption_resolution,[],[f1597,f455]) ).
fof(f1597,plain,
( ~ p302(sK92)
| ~ sP38(sK92)
| ~ spl93_4
| ~ spl93_14 ),
inference(resolution,[],[f1577,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(f1577,plain,
( p102(sK42(sK92))
| ~ spl93_4
| ~ spl93_14 ),
inference(resolution,[],[f418,f1563]) ).
fof(f1563,plain,
( r1(sK92,sK42(sK92))
| ~ spl93_14 ),
inference(subsumption_resolution,[],[f1559,f562]) ).
fof(f1559,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(f1573,plain,
( ~ spl93_23
| ~ spl93_18 ),
inference(avatar_split_clause,[],[f1572,f469,f490]) ).
fof(f1572,plain,
( ~ p503(sK92)
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1568,f523]) ).
fof(f1568,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(f1558,plain,
( ~ spl93_30
| ~ spl93_20 ),
inference(avatar_split_clause,[],[f1557,f477,f519]) ).
fof(f1557,plain,
( ~ p601(sK92)
| ~ spl93_20 ),
inference(subsumption_resolution,[],[f1554,f523]) ).
fof(f1554,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(f479,plain,
( p401(sK92)
| ~ spl93_20 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f1556,plain,
( ~ spl93_25
| ~ spl93_20 ),
inference(avatar_split_clause,[],[f1555,f477,f498]) ).
fof(f498,plain,
( spl93_25
<=> p501(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_25])]) ).
fof(f1555,plain,
( ~ p501(sK92)
| ~ spl93_20 ),
inference(subsumption_resolution,[],[f1553,f523]) ).
fof(f1553,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(f1550,plain,
( ~ spl93_4
| ~ spl93_29 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1549,plain,
( $false
| ~ spl93_4
| ~ spl93_29 ),
inference(subsumption_resolution,[],[f1548,f559]) ).
fof(f559,plain,
sP35(sK92),
inference(resolution,[],[f523,f279]) ).
fof(f279,plain,
! [X0] :
( ~ sP40(X0)
| sP35(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1548,plain,
( ~ sP35(sK92)
| ~ spl93_4
| ~ spl93_29 ),
inference(subsumption_resolution,[],[f1547,f517]) ).
fof(f517,plain,
( p602(sK92)
| ~ spl93_29 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f1547,plain,
( ~ p602(sK92)
| ~ sP35(sK92)
| ~ spl93_4
| ~ spl93_29 ),
inference(resolution,[],[f1544,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(f1544,plain,
( p102(sK45(sK92))
| ~ spl93_4
| ~ spl93_29 ),
inference(resolution,[],[f1518,f418]) ).
fof(f1518,plain,
( r1(sK92,sK45(sK92))
| ~ spl93_29 ),
inference(subsumption_resolution,[],[f1517,f559]) ).
fof(f1517,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(f1516,plain,
( ~ spl93_28
| ~ spl93_18 ),
inference(avatar_split_clause,[],[f1515,f469,f511]) ).
fof(f1515,plain,
( ~ p603(sK92)
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1509,f523]) ).
fof(f1509,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(f1505,plain,
( spl93_45
| ~ spl93_6
| ~ spl93_46 ),
inference(avatar_split_clause,[],[f1504,f740,f425,f736]) ).
fof(f736,plain,
( spl93_45
<=> r1(sK92,sK79(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_45])]) ).
fof(f425,plain,
( spl93_6
<=> ! [X8] :
( p205(X8)
| ~ r1(sK92,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_6])]) ).
fof(f740,plain,
( spl93_46
<=> r1(sK92,sK80(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_46])]) ).
fof(f1504,plain,
( r1(sK92,sK79(sK92))
| ~ spl93_6
| ~ spl93_46 ),
inference(subsumption_resolution,[],[f1501,f537]) ).
fof(f537,plain,
sP5(sK92),
inference(resolution,[],[f523,f238]) ).
fof(f238,plain,
! [X0] :
( ~ sP40(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1501,plain,
( r1(sK92,sK79(sK92))
| ~ sP5(sK92)
| ~ spl93_6
| ~ spl93_46 ),
inference(resolution,[],[f1481,f376]) ).
fof(f376,plain,
! [X0] :
( ~ p205(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(f1481,plain,
( p205(sK80(sK92))
| ~ spl93_6
| ~ spl93_46 ),
inference(resolution,[],[f742,f426]) ).
fof(f426,plain,
( ! [X8] :
( ~ r1(sK92,X8)
| p205(X8) )
| ~ spl93_6 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f742,plain,
( r1(sK92,sK80(sK92))
| ~ spl93_46 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f1503,plain,
( ~ spl93_1
| ~ spl93_6
| ~ spl93_45
| ~ spl93_46 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1502,plain,
( $false
| ~ spl93_1
| ~ spl93_6
| ~ spl93_45
| ~ spl93_46 ),
inference(subsumption_resolution,[],[f1484,f1481]) ).
fof(f1484,plain,
( ~ p205(sK80(sK92))
| ~ spl93_1
| ~ spl93_45 ),
inference(subsumption_resolution,[],[f1483,f537]) ).
fof(f1483,plain,
( ~ p205(sK80(sK92))
| ~ sP5(sK92)
| ~ spl93_1
| ~ spl93_45 ),
inference(resolution,[],[f1469,f378]) ).
fof(f378,plain,
! [X0] :
( ~ p105(sK79(X0))
| ~ p205(sK80(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1469,plain,
( p105(sK79(sK92))
| ~ spl93_1
| ~ spl93_45 ),
inference(resolution,[],[f409,f738]) ).
fof(f738,plain,
( r1(sK92,sK79(sK92))
| ~ spl93_45 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f1496,plain,
( spl93_50
| ~ spl93_1
| ~ spl93_49 ),
inference(avatar_split_clause,[],[f1495,f760,f408,f764]) ).
fof(f1495,plain,
( r1(sK92,sK84(sK92))
| ~ spl93_1
| ~ spl93_49 ),
inference(subsumption_resolution,[],[f1493,f535]) ).
fof(f1493,plain,
( r1(sK92,sK84(sK92))
| ~ sP3(sK92)
| ~ spl93_1
| ~ spl93_49 ),
inference(resolution,[],[f1471,f385]) ).
fof(f385,plain,
! [X0] :
( ~ p105(sK83(X0))
| r1(X0,sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1471,plain,
( p105(sK83(sK92))
| ~ spl93_1
| ~ spl93_49 ),
inference(resolution,[],[f409,f762]) ).
fof(f1488,plain,
( spl93_48
| ~ spl93_1
| ~ spl93_47 ),
inference(avatar_split_clause,[],[f1487,f750,f408,f754]) ).
fof(f1487,plain,
( r1(sK92,sK82(sK92))
| ~ spl93_1
| ~ spl93_47 ),
inference(subsumption_resolution,[],[f1485,f536]) ).
fof(f1485,plain,
( r1(sK92,sK82(sK92))
| ~ sP4(sK92)
| ~ spl93_1
| ~ spl93_47 ),
inference(resolution,[],[f1470,f381]) ).
fof(f381,plain,
! [X0] :
( ~ p105(sK81(X0))
| r1(X0,sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1470,plain,
( p105(sK81(sK92))
| ~ spl93_1
| ~ spl93_47 ),
inference(resolution,[],[f409,f752]) ).
fof(f1455,plain,
( ~ spl93_4
| ~ spl93_19 ),
inference(avatar_contradiction_clause,[],[f1454]) ).
fof(f1454,plain,
( $false
| ~ spl93_4
| ~ spl93_19 ),
inference(subsumption_resolution,[],[f1453,f561]) ).
fof(f561,plain,
sP37(sK92),
inference(resolution,[],[f523,f281]) ).
fof(f281,plain,
! [X0] :
( ~ sP40(X0)
| sP37(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1453,plain,
( ~ sP37(sK92)
| ~ spl93_4
| ~ spl93_19 ),
inference(subsumption_resolution,[],[f1452,f475]) ).
fof(f475,plain,
( p402(sK92)
| ~ spl93_19 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f1452,plain,
( ~ p402(sK92)
| ~ sP37(sK92)
| ~ spl93_4
| ~ spl93_19 ),
inference(resolution,[],[f1433,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(f1433,plain,
( p102(sK43(sK92))
| ~ spl93_4
| ~ spl93_19 ),
inference(resolution,[],[f418,f1395]) ).
fof(f1395,plain,
( r1(sK92,sK43(sK92))
| ~ spl93_19 ),
inference(subsumption_resolution,[],[f1392,f561]) ).
fof(f1392,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(f1432,plain,
( spl93_41
| ~ spl93_12
| ~ spl93_42 ),
inference(avatar_split_clause,[],[f1431,f720,f446,f716]) ).
fof(f716,plain,
( spl93_41
<=> r1(sK92,sK75(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_41])]) ).
fof(f446,plain,
( spl93_12
<=> ! [X9] :
( p304(X9)
| ~ r1(sK92,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_12])]) ).
fof(f720,plain,
( spl93_42
<=> r1(sK92,sK76(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_42])]) ).
fof(f1431,plain,
( r1(sK92,sK75(sK92))
| ~ spl93_12
| ~ spl93_42 ),
inference(subsumption_resolution,[],[f1427,f548]) ).
fof(f548,plain,
sP7(sK92),
inference(resolution,[],[f523,f252]) ).
fof(f252,plain,
! [X0] :
( ~ sP40(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1427,plain,
( r1(sK92,sK75(sK92))
| ~ sP7(sK92)
| ~ spl93_12
| ~ spl93_42 ),
inference(resolution,[],[f1408,f368]) ).
fof(f368,plain,
! [X0] :
( ~ p304(sK76(X0))
| r1(X0,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(f1408,plain,
( p304(sK76(sK92))
| ~ spl93_12
| ~ spl93_42 ),
inference(resolution,[],[f447,f722]) ).
fof(f722,plain,
( r1(sK92,sK76(sK92))
| ~ spl93_42 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f447,plain,
( ! [X9] :
( ~ r1(sK92,X9)
| p304(X9) )
| ~ spl93_12 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f1397,plain,
( ~ spl93_29
| ~ spl93_19 ),
inference(avatar_split_clause,[],[f1396,f473,f515]) ).
fof(f1396,plain,
( ~ p602(sK92)
| ~ spl93_19 ),
inference(subsumption_resolution,[],[f1394,f523]) ).
fof(f1394,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(f1391,plain,
( ~ spl93_15
| ~ spl93_25 ),
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1390,plain,
( $false
| ~ spl93_15
| ~ spl93_25 ),
inference(subsumption_resolution,[],[f1389,f523]) ).
fof(f1389,plain,
( ~ sP40(sK92)
| ~ spl93_15
| ~ spl93_25 ),
inference(subsumption_resolution,[],[f1387,f500]) ).
fof(f500,plain,
( p501(sK92)
| ~ spl93_25 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f1387,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(f1385,plain,
( ~ spl93_16
| spl93_53
| ~ spl93_54 ),
inference(avatar_contradiction_clause,[],[f1384]) ).
fof(f1384,plain,
( $false
| ~ spl93_16
| spl93_53
| ~ spl93_54 ),
inference(subsumption_resolution,[],[f1383,f531]) ).
fof(f531,plain,
sP1(sK92),
inference(resolution,[],[f523,f232]) ).
fof(f232,plain,
! [X0] :
( ~ sP40(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1383,plain,
( ~ sP1(sK92)
| ~ spl93_16
| spl93_53
| ~ spl93_54 ),
inference(subsumption_resolution,[],[f1382,f791]) ).
fof(f791,plain,
( ~ r1(sK92,sK87(sK92))
| spl93_53 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f790,plain,
( spl93_53
<=> r1(sK92,sK87(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_53])]) ).
fof(f1382,plain,
( r1(sK92,sK87(sK92))
| ~ sP1(sK92)
| ~ spl93_16
| ~ spl93_54 ),
inference(resolution,[],[f1379,f392]) ).
fof(f392,plain,
! [X0] :
( ~ p405(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(f1379,plain,
( p405(sK88(sK92))
| ~ spl93_16
| ~ spl93_54 ),
inference(resolution,[],[f463,f796]) ).
fof(f796,plain,
( r1(sK92,sK88(sK92))
| ~ spl93_54 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl93_54
<=> r1(sK92,sK88(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_54])]) ).
fof(f1361,plain,
( ~ spl93_18
| ~ spl93_13 ),
inference(avatar_split_clause,[],[f1360,f449,f469]) ).
fof(f1360,plain,
( ~ p403(sK92)
| ~ spl93_13 ),
inference(subsumption_resolution,[],[f1322,f523]) ).
fof(f1322,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(f1359,plain,
( ~ spl93_2
| ~ spl93_17 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1358,plain,
( $false
| ~ spl93_2
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1357,f547]) ).
fof(f547,plain,
sP26(sK92),
inference(resolution,[],[f523,f251]) ).
fof(f251,plain,
! [X0] :
( ~ sP40(X0)
| sP26(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1357,plain,
( ~ sP26(sK92)
| ~ spl93_2
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1356,f467]) ).
fof(f1356,plain,
( ~ p404(sK92)
| ~ sP26(sK92)
| ~ spl93_2
| ~ spl93_17 ),
inference(resolution,[],[f1352,f326]) ).
fof(f326,plain,
! [X0] :
( ~ p104(sK54(X0))
| ~ p404(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(f1352,plain,
( p104(sK54(sK92))
| ~ spl93_2
| ~ spl93_17 ),
inference(resolution,[],[f1338,f412]) ).
fof(f1338,plain,
( r1(sK92,sK54(sK92))
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1333,f547]) ).
fof(f1333,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(f1341,plain,
( ~ spl93_30
| ~ spl93_25 ),
inference(avatar_split_clause,[],[f1340,f498,f519]) ).
fof(f1340,plain,
( ~ p601(sK92)
| ~ spl93_25 ),
inference(subsumption_resolution,[],[f1339,f523]) ).
fof(f1339,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(f1319,plain,
( ~ spl93_11
| spl93_51
| ~ spl93_52 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1318,plain,
( $false
| ~ spl93_11
| spl93_51
| ~ spl93_52 ),
inference(subsumption_resolution,[],[f1317,f532]) ).
fof(f532,plain,
sP2(sK92),
inference(resolution,[],[f523,f233]) ).
fof(f233,plain,
! [X0] :
( ~ sP40(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1317,plain,
( ~ sP2(sK92)
| ~ spl93_11
| spl93_51
| ~ spl93_52 ),
inference(subsumption_resolution,[],[f1316,f771]) ).
fof(f771,plain,
( ~ r1(sK92,sK85(sK92))
| spl93_51 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl93_51
<=> r1(sK92,sK85(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_51])]) ).
fof(f1316,plain,
( r1(sK92,sK85(sK92))
| ~ sP2(sK92)
| ~ spl93_11
| ~ spl93_52 ),
inference(resolution,[],[f1311,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(f1311,plain,
( p305(sK86(sK92))
| ~ spl93_11
| ~ spl93_52 ),
inference(resolution,[],[f444,f776]) ).
fof(f776,plain,
( r1(sK92,sK86(sK92))
| ~ spl93_52 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f774,plain,
( spl93_52
<=> r1(sK92,sK86(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_52])]) ).
fof(f1274,plain,
( ~ spl93_15
| ~ spl93_30 ),
inference(avatar_contradiction_clause,[],[f1273]) ).
fof(f1273,plain,
( $false
| ~ spl93_15
| ~ spl93_30 ),
inference(subsumption_resolution,[],[f1272,f523]) ).
fof(f1272,plain,
( ~ sP40(sK92)
| ~ spl93_15
| ~ spl93_30 ),
inference(subsumption_resolution,[],[f1269,f521]) ).
fof(f521,plain,
( p601(sK92)
| ~ spl93_30 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f1269,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(f1266,plain,
( ~ spl93_6
| ~ spl93_11
| ~ spl93_51
| ~ spl93_52 ),
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1265,plain,
( $false
| ~ spl93_6
| ~ spl93_11
| ~ spl93_51
| ~ spl93_52 ),
inference(subsumption_resolution,[],[f1261,f1040]) ).
fof(f1040,plain,
( ~ p305(sK86(sK92))
| ~ spl93_6
| ~ spl93_51 ),
inference(subsumption_resolution,[],[f1039,f532]) ).
fof(f1039,plain,
( ~ p305(sK86(sK92))
| ~ sP2(sK92)
| ~ spl93_6
| ~ spl93_51 ),
inference(resolution,[],[f1027,f390]) ).
fof(f390,plain,
! [X0] :
( ~ p205(sK85(X0))
| ~ p305(sK86(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1027,plain,
( p205(sK85(sK92))
| ~ spl93_6
| ~ spl93_51 ),
inference(resolution,[],[f426,f772]) ).
fof(f772,plain,
( r1(sK92,sK85(sK92))
| ~ spl93_51 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1261,plain,
( p305(sK86(sK92))
| ~ spl93_11
| ~ spl93_52 ),
inference(resolution,[],[f444,f776]) ).
fof(f1243,plain,
( ~ spl93_2
| ~ spl93_12
| ~ spl93_41
| ~ spl93_42 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1242,plain,
( $false
| ~ spl93_2
| ~ spl93_12
| ~ spl93_41
| ~ spl93_42 ),
inference(subsumption_resolution,[],[f1233,f1239]) ).
fof(f1239,plain,
( p304(sK76(sK92))
| ~ spl93_12
| ~ spl93_42 ),
inference(resolution,[],[f722,f447]) ).
fof(f1233,plain,
( ~ p304(sK76(sK92))
| ~ spl93_2
| ~ spl93_41 ),
inference(subsumption_resolution,[],[f1230,f548]) ).
fof(f1230,plain,
( ~ p304(sK76(sK92))
| ~ sP7(sK92)
| ~ spl93_2
| ~ spl93_41 ),
inference(resolution,[],[f1201,f370]) ).
fof(f370,plain,
! [X0] :
( ~ p104(sK75(X0))
| ~ p304(sK76(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f1201,plain,
( p104(sK75(sK92))
| ~ spl93_2
| ~ spl93_41 ),
inference(resolution,[],[f412,f718]) ).
fof(f718,plain,
( r1(sK92,sK75(sK92))
| ~ spl93_41 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f1232,plain,
( spl93_42
| ~ spl93_2
| ~ spl93_41 ),
inference(avatar_split_clause,[],[f1231,f716,f411,f720]) ).
fof(f1231,plain,
( r1(sK92,sK76(sK92))
| ~ spl93_2
| ~ spl93_41 ),
inference(subsumption_resolution,[],[f1229,f548]) ).
fof(f1229,plain,
( r1(sK92,sK76(sK92))
| ~ sP7(sK92)
| ~ spl93_2
| ~ spl93_41 ),
inference(resolution,[],[f1201,f369]) ).
fof(f369,plain,
! [X0] :
( ~ p104(sK75(X0))
| r1(X0,sK76(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f1227,plain,
( spl93_40
| ~ spl93_2
| ~ spl93_39 ),
inference(avatar_split_clause,[],[f1226,f706,f411,f710]) ).
fof(f1226,plain,
( r1(sK92,sK74(sK92))
| ~ spl93_2
| ~ spl93_39 ),
inference(subsumption_resolution,[],[f1224,f549]) ).
fof(f1224,plain,
( r1(sK92,sK74(sK92))
| ~ sP8(sK92)
| ~ spl93_2
| ~ spl93_39 ),
inference(resolution,[],[f1200,f365]) ).
fof(f365,plain,
! [X0] :
( ~ p104(sK73(X0))
| r1(X0,sK74(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1200,plain,
( p104(sK73(sK92))
| ~ spl93_2
| ~ spl93_39 ),
inference(resolution,[],[f412,f708]) ).
fof(f1191,plain,
( ~ spl93_12
| ~ spl93_22 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| ~ spl93_12
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f1189,f539]) ).
fof(f539,plain,
sP19(sK92),
inference(resolution,[],[f523,f243]) ).
fof(f243,plain,
! [X0] :
( ~ sP40(X0)
| sP19(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1189,plain,
( ~ sP19(sK92)
| ~ spl93_12
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f1188,f488]) ).
fof(f488,plain,
( p504(sK92)
| ~ spl93_22 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f1188,plain,
( ~ p504(sK92)
| ~ sP19(sK92)
| ~ spl93_12
| ~ spl93_22 ),
inference(resolution,[],[f1186,f340]) ).
fof(f340,plain,
! [X0] :
( ~ p304(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(f1186,plain,
( p304(sK61(sK92))
| ~ spl93_12
| ~ spl93_22 ),
inference(resolution,[],[f1181,f447]) ).
fof(f1181,plain,
( r1(sK92,sK61(sK92))
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f1180,f539]) ).
fof(f1180,plain,
( r1(sK92,sK61(sK92))
| ~ sP19(sK92)
| ~ spl93_22 ),
inference(resolution,[],[f488,f339]) ).
fof(f339,plain,
! [X0] :
( ~ p504(X0)
| r1(X0,sK61(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f1168,plain,
( ~ spl93_3
| ~ spl93_18 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl93_3
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1166,f556]) ).
fof(f556,plain,
sP33(sK92),
inference(resolution,[],[f523,f266]) ).
fof(f266,plain,
! [X0] :
( ~ sP40(X0)
| sP33(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1166,plain,
( ~ sP33(sK92)
| ~ spl93_3
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1165,f471]) ).
fof(f1165,plain,
( ~ p403(sK92)
| ~ sP33(sK92)
| ~ spl93_3
| ~ spl93_18 ),
inference(resolution,[],[f1161,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(f1161,plain,
( p103(sK47(sK92))
| ~ spl93_3
| ~ spl93_18 ),
inference(resolution,[],[f1153,f415]) ).
fof(f1153,plain,
( r1(sK92,sK47(sK92))
| ~ spl93_18 ),
inference(subsumption_resolution,[],[f1149,f556]) ).
fof(f1149,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(f1145,plain,
( ~ spl93_12
| ~ spl93_27 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| ~ spl93_12
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f1143,f538]) ).
fof(f538,plain,
sP18(sK92),
inference(resolution,[],[f523,f242]) ).
fof(f242,plain,
! [X0] :
( ~ sP40(X0)
| sP18(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1143,plain,
( ~ sP18(sK92)
| ~ spl93_12
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f1142,f509]) ).
fof(f1142,plain,
( ~ p604(sK92)
| ~ sP18(sK92)
| ~ spl93_12
| ~ spl93_27 ),
inference(resolution,[],[f1137,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(f1137,plain,
( p304(sK62(sK92))
| ~ spl93_12
| ~ spl93_27 ),
inference(resolution,[],[f1133,f447]) ).
fof(f1133,plain,
( r1(sK92,sK62(sK92))
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f1129,f538]) ).
fof(f1129,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(f1125,plain,
( ~ spl93_6
| ~ spl93_21 ),
inference(avatar_contradiction_clause,[],[f1124]) ).
fof(f1124,plain,
( $false
| ~ spl93_6
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1123,f530]) ).
fof(f530,plain,
sP15(sK92),
inference(resolution,[],[f523,f231]) ).
fof(f231,plain,
! [X0] :
( ~ sP40(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1123,plain,
( ~ sP15(sK92)
| ~ spl93_6
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1122,f484]) ).
fof(f1122,plain,
( ~ p505(sK92)
| ~ sP15(sK92)
| ~ spl93_6
| ~ spl93_21 ),
inference(resolution,[],[f1116,f348]) ).
fof(f348,plain,
! [X0] :
( ~ p205(sK65(X0))
| ~ p505(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(f1116,plain,
( p205(sK65(sK92))
| ~ spl93_6
| ~ spl93_21 ),
inference(resolution,[],[f1108,f426]) ).
fof(f1108,plain,
( r1(sK92,sK65(sK92))
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1104,f530]) ).
fof(f1104,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(f1097,plain,
( ~ spl93_3
| ~ spl93_23 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1096,plain,
( $false
| ~ spl93_3
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f1095,f555]) ).
fof(f555,plain,
sP32(sK92),
inference(resolution,[],[f523,f265]) ).
fof(f265,plain,
! [X0] :
( ~ sP40(X0)
| sP32(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1095,plain,
( ~ sP32(sK92)
| ~ spl93_3
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f1094,f492]) ).
fof(f1094,plain,
( ~ p503(sK92)
| ~ sP32(sK92)
| ~ spl93_3
| ~ spl93_23 ),
inference(resolution,[],[f1093,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(f1093,plain,
( p103(sK48(sK92))
| ~ spl93_3
| ~ spl93_23 ),
inference(resolution,[],[f1084,f415]) ).
fof(f1084,plain,
( r1(sK92,sK48(sK92))
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f1081,f555]) ).
fof(f1081,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(f1079,plain,
( ~ spl93_24
| ~ spl93_19 ),
inference(avatar_split_clause,[],[f1078,f473,f494]) ).
fof(f1078,plain,
( ~ p502(sK92)
| ~ spl93_19 ),
inference(subsumption_resolution,[],[f1072,f523]) ).
fof(f1072,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(f1070,plain,
( ~ spl93_12
| ~ spl93_17 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| ~ spl93_12
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1068,f540]) ).
fof(f540,plain,
sP20(sK92),
inference(resolution,[],[f523,f244]) ).
fof(f244,plain,
! [X0] :
( ~ sP40(X0)
| sP20(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1068,plain,
( ~ sP20(sK92)
| ~ spl93_12
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1067,f467]) ).
fof(f1067,plain,
( ~ p404(sK92)
| ~ sP20(sK92)
| ~ spl93_12
| ~ spl93_17 ),
inference(resolution,[],[f1062,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(f1062,plain,
( p304(sK60(sK92))
| ~ spl93_12
| ~ spl93_17 ),
inference(resolution,[],[f1058,f447]) ).
fof(f1058,plain,
( r1(sK92,sK60(sK92))
| ~ spl93_17 ),
inference(subsumption_resolution,[],[f1053,f540]) ).
fof(f1053,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(f1052,plain,
( ~ spl93_6
| ~ spl93_16
| ~ spl93_53
| ~ spl93_54 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| ~ spl93_6
| ~ spl93_16
| ~ spl93_53
| ~ spl93_54 ),
inference(subsumption_resolution,[],[f1045,f1049]) ).
fof(f1049,plain,
( p405(sK88(sK92))
| ~ spl93_16
| ~ spl93_54 ),
inference(resolution,[],[f796,f463]) ).
fof(f1045,plain,
( ~ p405(sK88(sK92))
| ~ spl93_6
| ~ spl93_53 ),
inference(subsumption_resolution,[],[f1042,f531]) ).
fof(f1042,plain,
( ~ p405(sK88(sK92))
| ~ sP1(sK92)
| ~ spl93_6
| ~ spl93_53 ),
inference(resolution,[],[f1028,f394]) ).
fof(f394,plain,
! [X0] :
( ~ p205(sK87(X0))
| ~ p405(sK88(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1028,plain,
( p205(sK87(sK92))
| ~ spl93_6
| ~ spl93_53 ),
inference(resolution,[],[f426,f792]) ).
fof(f792,plain,
( r1(sK92,sK87(sK92))
| ~ spl93_53 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1044,plain,
( spl93_54
| ~ spl93_6
| ~ spl93_53 ),
inference(avatar_split_clause,[],[f1043,f790,f425,f794]) ).
fof(f1043,plain,
( r1(sK92,sK88(sK92))
| ~ spl93_6
| ~ spl93_53 ),
inference(subsumption_resolution,[],[f1041,f531]) ).
fof(f1041,plain,
( r1(sK92,sK88(sK92))
| ~ sP1(sK92)
| ~ spl93_6
| ~ spl93_53 ),
inference(resolution,[],[f1028,f393]) ).
fof(f393,plain,
! [X0] :
( ~ p205(sK87(X0))
| r1(X0,sK88(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1017,plain,
( spl93_43
| ~ spl93_12
| ~ spl93_44 ),
inference(avatar_split_clause,[],[f1016,f730,f446,f726]) ).
fof(f726,plain,
( spl93_43
<=> r1(sK92,sK77(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_43])]) ).
fof(f730,plain,
( spl93_44
<=> r1(sK92,sK78(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_44])]) ).
fof(f1016,plain,
( r1(sK92,sK77(sK92))
| ~ spl93_12
| ~ spl93_44 ),
inference(subsumption_resolution,[],[f1013,f544]) ).
fof(f544,plain,
sP6(sK92),
inference(resolution,[],[f523,f248]) ).
fof(f248,plain,
! [X0] :
( ~ sP40(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1013,plain,
( r1(sK92,sK77(sK92))
| ~ sP6(sK92)
| ~ spl93_12
| ~ spl93_44 ),
inference(resolution,[],[f1007,f372]) ).
fof(f372,plain,
! [X0] :
( ~ p304(sK78(X0))
| r1(X0,sK77(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(f1007,plain,
( p304(sK78(sK92))
| ~ spl93_12
| ~ spl93_44 ),
inference(resolution,[],[f732,f447]) ).
fof(f732,plain,
( r1(sK92,sK78(sK92))
| ~ spl93_44 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f1015,plain,
( ~ spl93_7
| ~ spl93_12
| ~ spl93_43
| ~ spl93_44 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1014,plain,
( $false
| ~ spl93_7
| ~ spl93_12
| ~ spl93_43
| ~ spl93_44 ),
inference(subsumption_resolution,[],[f1012,f1007]) ).
fof(f1012,plain,
( ~ p304(sK78(sK92))
| ~ spl93_7
| ~ spl93_43 ),
inference(subsumption_resolution,[],[f1011,f544]) ).
fof(f1011,plain,
( ~ p304(sK78(sK92))
| ~ sP6(sK92)
| ~ spl93_7
| ~ spl93_43 ),
inference(resolution,[],[f999,f374]) ).
fof(f374,plain,
! [X0] :
( ~ p204(sK77(X0))
| ~ p304(sK78(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f999,plain,
( p204(sK77(sK92))
| ~ spl93_7
| ~ spl93_43 ),
inference(resolution,[],[f429,f728]) ).
fof(f728,plain,
( r1(sK92,sK77(sK92))
| ~ spl93_43 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f993,plain,
( ~ spl93_9
| ~ spl93_24 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f992,plain,
( $false
| ~ spl93_9
| ~ spl93_24 ),
inference(subsumption_resolution,[],[f991,f523]) ).
fof(f991,plain,
( ~ sP40(sK92)
| ~ spl93_9
| ~ spl93_24 ),
inference(subsumption_resolution,[],[f984,f496]) ).
fof(f496,plain,
( p502(sK92)
| ~ spl93_24 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f984,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(f990,plain,
( ~ spl93_19
| ~ spl93_9 ),
inference(avatar_split_clause,[],[f989,f434,f473]) ).
fof(f989,plain,
( ~ p402(sK92)
| ~ spl93_9 ),
inference(subsumption_resolution,[],[f983,f523]) ).
fof(f983,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(f977,plain,
( ~ spl93_25
| ~ spl93_10 ),
inference(avatar_split_clause,[],[f976,f438,f498]) ).
fof(f976,plain,
( ~ p501(sK92)
| ~ spl93_10 ),
inference(subsumption_resolution,[],[f970,f523]) ).
fof(f970,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(f975,plain,
( ~ spl93_20
| ~ spl93_10 ),
inference(avatar_split_clause,[],[f974,f438,f477]) ).
fof(f974,plain,
( ~ p401(sK92)
| ~ spl93_10 ),
inference(subsumption_resolution,[],[f969,f523]) ).
fof(f969,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(f973,plain,
( ~ spl93_15
| ~ spl93_10 ),
inference(avatar_split_clause,[],[f972,f438,f457]) ).
fof(f972,plain,
( ~ p301(sK92)
| ~ spl93_10 ),
inference(subsumption_resolution,[],[f968,f523]) ).
fof(f968,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(f967,plain,
( ~ spl93_3
| ~ spl93_8
| ~ spl93_37
| ~ spl93_38 ),
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f966,plain,
( $false
| ~ spl93_3
| ~ spl93_8
| ~ spl93_37
| ~ spl93_38 ),
inference(subsumption_resolution,[],[f952,f955]) ).
fof(f955,plain,
( p203(sK72(sK92))
| ~ spl93_8
| ~ spl93_38 ),
inference(resolution,[],[f432,f698]) ).
fof(f952,plain,
( ~ p203(sK72(sK92))
| ~ spl93_3
| ~ spl93_37 ),
inference(subsumption_resolution,[],[f951,f558]) ).
fof(f951,plain,
( ~ p203(sK72(sK92))
| ~ sP9(sK92)
| ~ spl93_3
| ~ spl93_37 ),
inference(resolution,[],[f920,f362]) ).
fof(f362,plain,
! [X0] :
( ~ p103(sK71(X0))
| ~ p203(sK72(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f920,plain,
( p103(sK71(sK92))
| ~ spl93_3
| ~ spl93_37 ),
inference(resolution,[],[f415,f694]) ).
fof(f694,plain,
( r1(sK92,sK71(sK92))
| ~ spl93_37 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f948,plain,
( spl93_44
| ~ spl93_7
| ~ spl93_43 ),
inference(avatar_split_clause,[],[f947,f726,f428,f730]) ).
fof(f947,plain,
( r1(sK92,sK78(sK92))
| ~ spl93_7
| ~ spl93_43 ),
inference(subsumption_resolution,[],[f945,f544]) ).
fof(f945,plain,
( r1(sK92,sK78(sK92))
| ~ sP6(sK92)
| ~ spl93_7
| ~ spl93_43 ),
inference(resolution,[],[f871,f373]) ).
fof(f373,plain,
! [X0] :
( ~ p204(sK77(X0))
| r1(X0,sK78(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f871,plain,
( p204(sK77(sK92))
| ~ spl93_7
| ~ spl93_43 ),
inference(resolution,[],[f429,f728]) ).
fof(f915,plain,
( ~ spl93_25
| ~ spl93_5 ),
inference(avatar_split_clause,[],[f914,f420,f498]) ).
fof(f914,plain,
( ~ p501(sK92)
| ~ spl93_5 ),
inference(subsumption_resolution,[],[f906,f523]) ).
fof(f906,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(f911,plain,
( ~ spl93_15
| ~ spl93_5 ),
inference(avatar_split_clause,[],[f910,f420,f457]) ).
fof(f910,plain,
( ~ p301(sK92)
| ~ spl93_5 ),
inference(subsumption_resolution,[],[f904,f523]) ).
fof(f904,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(f909,plain,
( ~ spl93_10
| ~ spl93_5 ),
inference(avatar_split_clause,[],[f908,f420,f438]) ).
fof(f908,plain,
( ~ p201(sK92)
| ~ spl93_5 ),
inference(subsumption_resolution,[],[f903,f523]) ).
fof(f903,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(f902,plain,
( ~ spl93_4
| ~ spl93_24 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f901,plain,
( $false
| ~ spl93_4
| ~ spl93_24 ),
inference(subsumption_resolution,[],[f900,f560]) ).
fof(f560,plain,
sP36(sK92),
inference(resolution,[],[f523,f280]) ).
fof(f280,plain,
! [X0] :
( ~ sP40(X0)
| sP36(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f900,plain,
( ~ sP36(sK92)
| ~ spl93_4
| ~ spl93_24 ),
inference(subsumption_resolution,[],[f899,f496]) ).
fof(f899,plain,
( ~ p502(sK92)
| ~ sP36(sK92)
| ~ spl93_4
| ~ spl93_24 ),
inference(resolution,[],[f888,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(f888,plain,
( p102(sK44(sK92))
| ~ spl93_4
| ~ spl93_24 ),
inference(resolution,[],[f418,f671]) ).
fof(f671,plain,
( r1(sK92,sK44(sK92))
| ~ spl93_24 ),
inference(subsumption_resolution,[],[f669,f560]) ).
fof(f669,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(f886,plain,
( spl93_38
| ~ spl93_3
| ~ spl93_37 ),
inference(avatar_split_clause,[],[f885,f692,f414,f696]) ).
fof(f885,plain,
( r1(sK92,sK72(sK92))
| ~ spl93_3
| ~ spl93_37 ),
inference(subsumption_resolution,[],[f883,f558]) ).
fof(f883,plain,
( r1(sK92,sK72(sK92))
| ~ sP9(sK92)
| ~ spl93_3
| ~ spl93_37 ),
inference(resolution,[],[f848,f361]) ).
fof(f361,plain,
! [X0] :
( ~ p103(sK71(X0))
| r1(X0,sK72(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f848,plain,
( p103(sK71(sK92))
| ~ spl93_3
| ~ spl93_37 ),
inference(resolution,[],[f415,f694]) ).
fof(f881,plain,
( spl93_56
| ~ spl93_11
| ~ spl93_55 ),
inference(avatar_split_clause,[],[f880,f800,f443,f804]) ).
fof(f880,plain,
( r1(sK92,sK90(sK92))
| ~ spl93_11
| ~ spl93_55 ),
inference(subsumption_resolution,[],[f878,f528]) ).
fof(f878,plain,
( r1(sK92,sK90(sK92))
| ~ sP0(sK92)
| ~ spl93_11
| ~ spl93_55 ),
inference(resolution,[],[f838,f397]) ).
fof(f397,plain,
! [X0] :
( ~ p305(sK89(X0))
| r1(X0,sK90(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f838,plain,
( p305(sK89(sK92))
| ~ spl93_11
| ~ spl93_55 ),
inference(resolution,[],[f802,f444]) ).
fof(f865,plain,
( spl93_52
| ~ spl93_6
| ~ spl93_51 ),
inference(avatar_split_clause,[],[f864,f770,f425,f774]) ).
fof(f864,plain,
( r1(sK92,sK86(sK92))
| ~ spl93_6
| ~ spl93_51 ),
inference(subsumption_resolution,[],[f862,f532]) ).
fof(f862,plain,
( r1(sK92,sK86(sK92))
| ~ sP2(sK92)
| ~ spl93_6
| ~ spl93_51 ),
inference(resolution,[],[f831,f389]) ).
fof(f389,plain,
! [X0] :
( ~ p205(sK85(X0))
| r1(X0,sK86(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f831,plain,
( p205(sK85(sK92))
| ~ spl93_6
| ~ spl93_51 ),
inference(resolution,[],[f772,f426]) ).
fof(f861,plain,
( ~ spl93_3
| ~ spl93_28 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f860,plain,
( $false
| ~ spl93_3
| ~ spl93_28 ),
inference(subsumption_resolution,[],[f859,f554]) ).
fof(f554,plain,
sP31(sK92),
inference(resolution,[],[f523,f264]) ).
fof(f264,plain,
! [X0] :
( ~ sP40(X0)
| sP31(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f859,plain,
( ~ sP31(sK92)
| ~ spl93_3
| ~ spl93_28 ),
inference(subsumption_resolution,[],[f858,f513]) ).
fof(f858,plain,
( ~ p603(sK92)
| ~ sP31(sK92)
| ~ spl93_3
| ~ spl93_28 ),
inference(resolution,[],[f846,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(f846,plain,
( p103(sK49(sK92))
| ~ spl93_3
| ~ spl93_28 ),
inference(resolution,[],[f415,f677]) ).
fof(f677,plain,
( r1(sK92,sK49(sK92))
| ~ spl93_28 ),
inference(subsumption_resolution,[],[f675,f554]) ).
fof(f675,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(f843,plain,
( spl93_46
| ~ spl93_1
| ~ spl93_45 ),
inference(avatar_split_clause,[],[f842,f736,f408,f740]) ).
fof(f842,plain,
( r1(sK92,sK80(sK92))
| ~ spl93_1
| ~ spl93_45 ),
inference(subsumption_resolution,[],[f840,f537]) ).
fof(f840,plain,
( r1(sK92,sK80(sK92))
| ~ sP5(sK92)
| ~ spl93_1
| ~ spl93_45 ),
inference(resolution,[],[f816,f377]) ).
fof(f377,plain,
! [X0] :
( ~ p105(sK79(X0))
| r1(X0,sK80(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f816,plain,
( p105(sK79(sK92))
| ~ spl93_1
| ~ spl93_45 ),
inference(resolution,[],[f738,f409]) ).
fof(f807,plain,
( spl93_55
| spl93_56 ),
inference(avatar_split_clause,[],[f798,f804,f800]) ).
fof(f798,plain,
( r1(sK92,sK90(sK92))
| r1(sK92,sK89(sK92)) ),
inference(resolution,[],[f395,f528]) ).
fof(f395,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK90(X0))
| r1(X0,sK89(X0)) ),
inference(cnf_transformation,[],[f220]) ).
fof(f797,plain,
( spl93_53
| spl93_54 ),
inference(avatar_split_clause,[],[f788,f794,f790]) ).
fof(f788,plain,
( r1(sK92,sK88(sK92))
| r1(sK92,sK87(sK92)) ),
inference(resolution,[],[f391,f531]) ).
fof(f391,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK88(X0))
| r1(X0,sK87(X0)) ),
inference(cnf_transformation,[],[f215]) ).
fof(f777,plain,
( spl93_51
| spl93_52 ),
inference(avatar_split_clause,[],[f768,f774,f770]) ).
fof(f768,plain,
( r1(sK92,sK86(sK92))
| r1(sK92,sK85(sK92)) ),
inference(resolution,[],[f387,f532]) ).
fof(f387,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK86(X0))
| r1(X0,sK85(X0)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f767,plain,
( spl93_49
| spl93_50 ),
inference(avatar_split_clause,[],[f758,f764,f760]) ).
fof(f758,plain,
( r1(sK92,sK84(sK92))
| r1(sK92,sK83(sK92)) ),
inference(resolution,[],[f383,f535]) ).
fof(f383,plain,
! [X0] :
( ~ sP3(X0)
| r1(X0,sK84(X0))
| r1(X0,sK83(X0)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f757,plain,
( spl93_47
| spl93_48 ),
inference(avatar_split_clause,[],[f748,f754,f750]) ).
fof(f748,plain,
( r1(sK92,sK82(sK92))
| r1(sK92,sK81(sK92)) ),
inference(resolution,[],[f379,f536]) ).
fof(f379,plain,
! [X0] :
( ~ sP4(X0)
| r1(X0,sK82(X0))
| r1(X0,sK81(X0)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f743,plain,
( spl93_45
| spl93_46 ),
inference(avatar_split_clause,[],[f734,f740,f736]) ).
fof(f734,plain,
( r1(sK92,sK80(sK92))
| r1(sK92,sK79(sK92)) ),
inference(resolution,[],[f375,f537]) ).
fof(f375,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK80(X0))
| r1(X0,sK79(X0)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f733,plain,
( spl93_43
| spl93_44 ),
inference(avatar_split_clause,[],[f724,f730,f726]) ).
fof(f724,plain,
( r1(sK92,sK78(sK92))
| r1(sK92,sK77(sK92)) ),
inference(resolution,[],[f371,f544]) ).
fof(f371,plain,
! [X0] :
( ~ sP6(X0)
| r1(X0,sK78(X0))
| r1(X0,sK77(X0)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f723,plain,
( spl93_41
| spl93_42 ),
inference(avatar_split_clause,[],[f714,f720,f716]) ).
fof(f714,plain,
( r1(sK92,sK76(sK92))
| r1(sK92,sK75(sK92)) ),
inference(resolution,[],[f367,f548]) ).
fof(f367,plain,
! [X0] :
( ~ sP7(X0)
| r1(X0,sK76(X0))
| r1(X0,sK75(X0)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f713,plain,
( spl93_39
| spl93_40 ),
inference(avatar_split_clause,[],[f704,f710,f706]) ).
fof(f704,plain,
( r1(sK92,sK74(sK92))
| r1(sK92,sK73(sK92)) ),
inference(resolution,[],[f363,f549]) ).
fof(f363,plain,
! [X0] :
( ~ sP8(X0)
| r1(X0,sK74(X0))
| r1(X0,sK73(X0)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f699,plain,
( spl93_37
| spl93_38 ),
inference(avatar_split_clause,[],[f690,f696,f692]) ).
fof(f690,plain,
( r1(sK92,sK72(sK92))
| r1(sK92,sK71(sK92)) ),
inference(resolution,[],[f359,f558]) ).
fof(f359,plain,
! [X0] :
( ~ sP9(X0)
| r1(X0,sK72(X0))
| r1(X0,sK71(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f673,plain,
( ~ spl93_29
| ~ spl93_24 ),
inference(avatar_split_clause,[],[f672,f494,f515]) ).
fof(f672,plain,
( ~ p602(sK92)
| ~ spl93_24 ),
inference(subsumption_resolution,[],[f670,f523]) ).
fof(f670,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(f668,plain,
( ~ spl93_2
| ~ spl93_27 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl93_2
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f666,f545]) ).
fof(f545,plain,
sP24(sK92),
inference(resolution,[],[f523,f249]) ).
fof(f249,plain,
! [X0] :
( ~ sP40(X0)
| sP24(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f666,plain,
( ~ sP24(sK92)
| ~ spl93_2
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f665,f509]) ).
fof(f665,plain,
( ~ p604(sK92)
| ~ sP24(sK92)
| ~ spl93_2
| ~ spl93_27 ),
inference(resolution,[],[f664,f330]) ).
fof(f330,plain,
! [X0] :
( ~ p104(sK56(X0))
| ~ p604(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(f664,plain,
( p104(sK56(sK92))
| ~ spl93_2
| ~ spl93_27 ),
inference(resolution,[],[f652,f412]) ).
fof(f652,plain,
( r1(sK92,sK56(sK92))
| ~ spl93_27 ),
inference(subsumption_resolution,[],[f648,f545]) ).
fof(f648,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(f645,plain,
( spl93_36
| ~ spl93_26 ),
inference(avatar_split_clause,[],[f602,f503,f642]) ).
fof(f602,plain,
( ~ p605(sK92)
| r1(sK92,sK64(sK92)) ),
inference(resolution,[],[f345,f533]) ).
fof(f345,plain,
! [X0] :
( ~ sP16(X0)
| ~ p605(X0)
| r1(X0,sK64(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f635,plain,
( spl93_34
| ~ spl93_26 ),
inference(avatar_split_clause,[],[f610,f503,f632]) ).
fof(f610,plain,
( ~ p605(sK92)
| r1(sK92,sK68(sK92)) ),
inference(resolution,[],[f353,f526]) ).
fof(f353,plain,
! [X0] :
( ~ sP12(X0)
| ~ p605(X0)
| r1(X0,sK68(X0)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f630,plain,
( spl93_33
| ~ spl93_26 ),
inference(avatar_split_clause,[],[f616,f503,f627]) ).
fof(f616,plain,
( ~ p605(sK92)
| r1(sK92,sK70(sK92)) ),
inference(resolution,[],[f357,f524]) ).
fof(f357,plain,
! [X0] :
( ~ sP10(X0)
| ~ p605(X0)
| r1(X0,sK70(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f625,plain,
( ~ spl93_6
| ~ spl93_26 ),
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f624,plain,
( $false
| ~ spl93_6
| ~ spl93_26 ),
inference(subsumption_resolution,[],[f623,f529]) ).
fof(f529,plain,
sP14(sK92),
inference(resolution,[],[f523,f230]) ).
fof(f230,plain,
! [X0] :
( ~ sP40(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f623,plain,
( ~ sP14(sK92)
| ~ spl93_6
| ~ spl93_26 ),
inference(subsumption_resolution,[],[f622,f505]) ).
fof(f505,plain,
( p605(sK92)
| ~ spl93_26 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f622,plain,
( ~ p605(sK92)
| ~ sP14(sK92)
| ~ spl93_6
| ~ spl93_26 ),
inference(resolution,[],[f620,f350]) ).
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(f620,plain,
( p205(sK66(sK92))
| ~ spl93_6
| ~ spl93_26 ),
inference(resolution,[],[f609,f426]) ).
fof(f609,plain,
( r1(sK92,sK66(sK92))
| ~ spl93_26 ),
inference(subsumption_resolution,[],[f608,f505]) ).
fof(f608,plain,
( ~ p605(sK92)
| r1(sK92,sK66(sK92)) ),
inference(resolution,[],[f349,f529]) ).
fof(f349,plain,
! [X0] :
( ~ sP14(X0)
| ~ p605(X0)
| r1(X0,sK66(X0)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f597,plain,
( ~ spl93_28
| ~ spl93_23 ),
inference(avatar_split_clause,[],[f596,f490,f511]) ).
fof(f596,plain,
( ~ p603(sK92)
| ~ spl93_23 ),
inference(subsumption_resolution,[],[f593,f523]) ).
fof(f593,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(f585,plain,
( spl93_31
| ~ spl93_22 ),
inference(avatar_split_clause,[],[f575,f486,f582]) ).
fof(f575,plain,
( ~ p504(sK92)
| r1(sK92,sK58(sK92)) ),
inference(resolution,[],[f333,f542]) ).
fof(f333,plain,
! [X0] :
( ~ sP22(X0)
| ~ p504(X0)
| r1(X0,sK58(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f580,plain,
( ~ spl93_2
| ~ spl93_22 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f579,plain,
( $false
| ~ spl93_2
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f578,f546]) ).
fof(f546,plain,
sP25(sK92),
inference(resolution,[],[f523,f250]) ).
fof(f250,plain,
! [X0] :
( ~ sP40(X0)
| sP25(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f578,plain,
( ~ sP25(sK92)
| ~ spl93_2
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f577,f488]) ).
fof(f577,plain,
( ~ p504(sK92)
| ~ sP25(sK92)
| ~ spl93_2
| ~ spl93_22 ),
inference(resolution,[],[f574,f328]) ).
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(f574,plain,
( p104(sK55(sK92))
| ~ spl93_2
| ~ spl93_22 ),
inference(resolution,[],[f570,f412]) ).
fof(f570,plain,
( r1(sK92,sK55(sK92))
| ~ spl93_22 ),
inference(subsumption_resolution,[],[f569,f488]) ).
fof(f569,plain,
( ~ p504(sK92)
| r1(sK92,sK55(sK92)) ),
inference(resolution,[],[f327,f546]) ).
fof(f327,plain,
! [X0] :
( ~ sP25(X0)
| ~ p504(X0)
| r1(X0,sK55(X0)) ),
inference(cnf_transformation,[],[f110]) ).
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
% 0.04/0.13 % Problem : LCL648+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 23:01:40 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (10838)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.38 % (10846)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.23/0.38 % (10841)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.38 % (10842)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.38 % (10843)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.23/0.38 % (10845)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.23/0.38 % (10844)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.23/0.38 % (10847)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.39 TRYING [1]
% 0.23/0.39 TRYING [1]
% 0.23/0.39 TRYING [2]
% 0.23/0.39 TRYING [2]
% 0.23/0.39 TRYING [1]
% 0.23/0.39 TRYING [1]
% 0.23/0.40 TRYING [2]
% 0.23/0.40 TRYING [2]
% 0.23/0.41 % (10846)First to succeed.
% 0.23/0.41 TRYING [3]
% 0.23/0.41 TRYING [3]
% 0.23/0.42 % (10846)Refutation found. Thanks to Tanya!
% 0.23/0.42 % SZS status Theorem for theBenchmark
% 0.23/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.43 % (10846)------------------------------
% 0.23/0.43 % (10846)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.43 % (10846)Termination reason: Refutation
% 0.23/0.43
% 0.23/0.43 % (10846)Memory used [KB]: 1511
% 0.23/0.43 % (10846)Time elapsed: 0.033 s
% 0.23/0.43 % (10846)Instructions burned: 88 (million)
% 0.23/0.43 % (10846)------------------------------
% 0.23/0.43 % (10846)------------------------------
% 0.23/0.43 % (10838)Success in time 0.055 s
%------------------------------------------------------------------------------