TSTP Solution File: LCL648+1.005 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL648+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:49:02 EDT 2022
% Result : Theorem 2.18s 0.64s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 180
% Syntax : Number of formulae : 1088 ( 43 unt; 0 def)
% Number of atoms : 5297 ( 0 equ)
% Maximal formula atoms : 242 ( 4 avg)
% Number of connectives : 7239 (3030 ~;2920 |;1151 &)
% ( 86 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 159 ( 158 usr; 87 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 2 con; 0-1 aty)
% Number of variables : 1102 ( 786 !; 316 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2821,plain,
$false,
inference(avatar_sat_refutation,[],[f440,f448,f456,f464,f485,f493,f509,f517,f529,f549,f553,f565,f608,f610,f612,f615,f619,f621,f623,f627,f631,f634,f641,f654,f661,f677,f688,f699,f704,f709,f714,f719,f726,f760,f767,f778,f788,f795,f812,f822,f832,f845,f848,f864,f874,f884,f890,f902,f907,f912,f914,f920,f925,f928,f933,f938,f973,f976,f983,f1005,f1024,f1032,f1052,f1057,f1085,f1109,f1111,f1112,f1131,f1160,f1166,f1177,f1180,f1184,f1232,f1240,f1245,f1259,f1264,f1272,f1277,f1295,f1327,f1329,f1370,f1383,f1392,f1393,f1397,f1455,f1457,f1498,f1540,f1579,f1615,f1621,f1712,f1717,f1727,f1771,f1786,f1791,f1796,f1803,f1805,f1809,f1859,f1866,f1867,f1870,f1921,f1968,f1970,f2022,f2042,f2044,f2049,f2095,f2108,f2160,f2174,f2176,f2180,f2181,f2229,f2231,f2332,f2334,f2343,f2347,f2397,f2506,f2510,f2511,f2519,f2582,f2643,f2647,f2704,f2705,f2709,f2820]) ).
fof(f2820,plain,
( ~ spl99_19
| ~ spl99_33
| ~ spl99_71 ),
inference(avatar_contradiction_clause,[],[f2819]) ).
fof(f2819,plain,
( $false
| ~ spl99_19
| ~ spl99_33
| ~ spl99_71 ),
inference(subsumption_resolution,[],[f2818,f497]) ).
fof(f497,plain,
( p303(sK92)
| ~ spl99_19 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl99_19
<=> p303(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_19])]) ).
fof(f2818,plain,
( ~ p303(sK92)
| ~ spl99_33
| ~ spl99_71 ),
inference(subsumption_resolution,[],[f2817,f589]) ).
fof(f589,plain,
sP26(sK92),
inference(resolution,[],[f566,f267]) ).
fof(f267,plain,
! [X0] :
( ~ sP40(X0)
| sP26(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( sP9(X0)
& sP39(X0)
& sP38(X0)
& sP37(X0)
& ( ~ p404(X0)
| ~ p504(X0) )
& sP36(X0)
& ( ~ p501(X0)
| ~ p401(X0) )
& ( ~ p502(X0)
| ~ p402(X0) )
& ( ~ p504(X0)
| ~ p604(X0) )
& ( ~ p605(X0)
| ~ p505(X0) )
& ( ~ p301(X0)
| ~ p601(X0) )
& ( ~ p603(X0)
| ~ p503(X0) )
& sP35(X0)
& ( ~ p202(X0)
| ~ p602(X0) )
& ( ~ p402(X0)
| ~ p202(X0) )
& sP8(X0)
& ( ~ p601(X0)
| ~ p101(X0) )
& sP34(X0)
& ( ~ p201(X0)
| ~ p301(X0) )
& sP33(X0)
& sP32(X0)
& ( ~ p502(X0)
| ~ p602(X0) )
& sP31(X0)
& sP30(X0)
& sP7(X0)
& ( ~ p201(X0)
| ~ p601(X0) )
& ( ~ p101(X0)
| ~ p401(X0) )
& sP29(X0)
& sP6(X0)
& sP28(X0)
& sP27(X0)
& ( ~ p501(X0)
| ~ p601(X0) )
& sP26(X0)
& ( ~ p501(X0)
| ~ p301(X0) )
& sP25(X0)
& ( ~ p601(X0)
| ~ p401(X0) )
& sP24(X0)
& sP23(X0)
& ( ~ p201(X0)
| ~ p401(X0) )
& sP5(X0)
& ( ~ p403(X0)
| ~ p503(X0) )
& ( ~ p302(X0)
| ~ p402(X0) )
& ( ~ p602(X0)
| ~ p402(X0) )
& sP22(X0)
& ( ~ p301(X0)
| ~ p401(X0) )
& sP21(X0)
& sP20(X0)
& sP19(X0)
& sP4(X0)
& ( ~ p302(X0)
| ~ p502(X0) )
& sP18(X0)
& sP17(X0)
& sP3(X0)
& sP16(X0)
& ( ~ p201(X0)
| ~ p501(X0) )
& sP2(X0)
& sP15(X0)
& sP1(X0)
& ( ~ p101(X0)
| ~ p501(X0) )
& ( ~ p302(X0)
| ~ p602(X0) )
& ( ~ p201(X0)
| ~ p101(X0) )
& sP14(X0)
& ( ~ p301(X0)
| ~ p101(X0) )
& ( ~ p202(X0)
| ~ p502(X0) )
& ( ~ p503(X0)
| ~ p303(X0) )
& sP13(X0)
& ( ~ p604(X0)
| ~ p404(X0) )
& sP0(X0)
& ( ~ p603(X0)
| ~ p403(X0) )
& sP12(X0)
& sP11(X0)
& sP10(X0)
& ( ~ p202(X0)
| ~ p302(X0) )
& ( ~ p303(X0)
| ~ p403(X0) )
& ( ~ p303(X0)
| ~ p603(X0) ) )
| ~ sP40(X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X12] :
( ( sP9(X12)
& sP39(X12)
& sP38(X12)
& sP37(X12)
& ( ~ p404(X12)
| ~ p504(X12) )
& sP36(X12)
& ( ~ p501(X12)
| ~ p401(X12) )
& ( ~ p502(X12)
| ~ p402(X12) )
& ( ~ p504(X12)
| ~ p604(X12) )
& ( ~ p605(X12)
| ~ p505(X12) )
& ( ~ p301(X12)
| ~ p601(X12) )
& ( ~ p603(X12)
| ~ p503(X12) )
& sP35(X12)
& ( ~ p202(X12)
| ~ p602(X12) )
& ( ~ p402(X12)
| ~ p202(X12) )
& sP8(X12)
& ( ~ p601(X12)
| ~ p101(X12) )
& sP34(X12)
& ( ~ p201(X12)
| ~ p301(X12) )
& sP33(X12)
& sP32(X12)
& ( ~ p502(X12)
| ~ p602(X12) )
& sP31(X12)
& sP30(X12)
& sP7(X12)
& ( ~ p201(X12)
| ~ p601(X12) )
& ( ~ p101(X12)
| ~ p401(X12) )
& sP29(X12)
& sP6(X12)
& sP28(X12)
& sP27(X12)
& ( ~ p501(X12)
| ~ p601(X12) )
& sP26(X12)
& ( ~ p501(X12)
| ~ p301(X12) )
& sP25(X12)
& ( ~ p601(X12)
| ~ p401(X12) )
& sP24(X12)
& sP23(X12)
& ( ~ p201(X12)
| ~ p401(X12) )
& sP5(X12)
& ( ~ p403(X12)
| ~ p503(X12) )
& ( ~ p302(X12)
| ~ p402(X12) )
& ( ~ p602(X12)
| ~ p402(X12) )
& sP22(X12)
& ( ~ p301(X12)
| ~ p401(X12) )
& sP21(X12)
& sP20(X12)
& sP19(X12)
& sP4(X12)
& ( ~ p302(X12)
| ~ p502(X12) )
& sP18(X12)
& sP17(X12)
& sP3(X12)
& sP16(X12)
& ( ~ p201(X12)
| ~ p501(X12) )
& sP2(X12)
& sP15(X12)
& sP1(X12)
& ( ~ p101(X12)
| ~ p501(X12) )
& ( ~ p302(X12)
| ~ p602(X12) )
& ( ~ p201(X12)
| ~ p101(X12) )
& sP14(X12)
& ( ~ p301(X12)
| ~ p101(X12) )
& ( ~ p202(X12)
| ~ p502(X12) )
& ( ~ p503(X12)
| ~ p303(X12) )
& sP13(X12)
& ( ~ p604(X12)
| ~ p404(X12) )
& sP0(X12)
& ( ~ p603(X12)
| ~ p403(X12) )
& sP12(X12)
& sP11(X12)
& sP10(X12)
& ( ~ p202(X12)
| ~ p302(X12) )
& ( ~ p303(X12)
| ~ p403(X12) )
& ( ~ p303(X12)
| ~ p603(X12) ) )
| ~ sP40(X12) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X12] :
( ( sP9(X12)
& sP39(X12)
& sP38(X12)
& sP37(X12)
& ( ~ p404(X12)
| ~ p504(X12) )
& sP36(X12)
& ( ~ p501(X12)
| ~ p401(X12) )
& ( ~ p502(X12)
| ~ p402(X12) )
& ( ~ p504(X12)
| ~ p604(X12) )
& ( ~ p605(X12)
| ~ p505(X12) )
& ( ~ p301(X12)
| ~ p601(X12) )
& ( ~ p603(X12)
| ~ p503(X12) )
& sP35(X12)
& ( ~ p202(X12)
| ~ p602(X12) )
& ( ~ p402(X12)
| ~ p202(X12) )
& sP8(X12)
& ( ~ p601(X12)
| ~ p101(X12) )
& sP34(X12)
& ( ~ p201(X12)
| ~ p301(X12) )
& sP33(X12)
& sP32(X12)
& ( ~ p502(X12)
| ~ p602(X12) )
& sP31(X12)
& sP30(X12)
& sP7(X12)
& ( ~ p201(X12)
| ~ p601(X12) )
& ( ~ p101(X12)
| ~ p401(X12) )
& sP29(X12)
& sP6(X12)
& sP28(X12)
& sP27(X12)
& ( ~ p501(X12)
| ~ p601(X12) )
& sP26(X12)
& ( ~ p501(X12)
| ~ p301(X12) )
& sP25(X12)
& ( ~ p601(X12)
| ~ p401(X12) )
& sP24(X12)
& sP23(X12)
& ( ~ p201(X12)
| ~ p401(X12) )
& sP5(X12)
& ( ~ p403(X12)
| ~ p503(X12) )
& ( ~ p302(X12)
| ~ p402(X12) )
& ( ~ p602(X12)
| ~ p402(X12) )
& sP22(X12)
& ( ~ p301(X12)
| ~ p401(X12) )
& sP21(X12)
& sP20(X12)
& sP19(X12)
& sP4(X12)
& ( ~ p302(X12)
| ~ p502(X12) )
& sP18(X12)
& sP17(X12)
& sP3(X12)
& sP16(X12)
& ( ~ p201(X12)
| ~ p501(X12) )
& sP2(X12)
& sP15(X12)
& sP1(X12)
& ( ~ p101(X12)
| ~ p501(X12) )
& ( ~ p302(X12)
| ~ p602(X12) )
& ( ~ p201(X12)
| ~ p101(X12) )
& sP14(X12)
& ( ~ p301(X12)
| ~ p101(X12) )
& ( ~ p202(X12)
| ~ p502(X12) )
& ( ~ p503(X12)
| ~ p303(X12) )
& sP13(X12)
& ( ~ p604(X12)
| ~ p404(X12) )
& sP0(X12)
& ( ~ p603(X12)
| ~ p403(X12) )
& sP12(X12)
& sP11(X12)
& sP10(X12)
& ( ~ p202(X12)
| ~ p302(X12) )
& ( ~ p303(X12)
| ~ p403(X12) )
& ( ~ p303(X12)
| ~ p603(X12) ) )
| ~ sP40(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f566,plain,
sP40(sK92),
inference(resolution,[],[f407,f405]) ).
fof(f405,plain,
r1(sK91,sK92),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ! [X1] :
( sP40(X1)
| ~ r1(sK91,X1) )
& ( p403(sK92)
| p402(sK92)
| p401(sK92)
| p404(sK92)
| ! [X3] :
( p405(X3)
| ~ r1(sK92,X3) ) )
& r1(sK91,sK92)
& ( p605(sK92)
| p602(sK92)
| p604(sK92)
| p603(sK92)
| p601(sK92) )
& ( ! [X4] :
( ~ r1(sK92,X4)
| p205(X4) )
| p202(sK92)
| ! [X5] :
( p203(X5)
| ~ r1(sK92,X5) )
| ! [X6] :
( ~ r1(sK92,X6)
| p204(X6) )
| p201(sK92) )
& ( ! [X7] :
( p105(X7)
| ~ r1(sK92,X7) )
| ! [X8] :
( ~ r1(sK92,X8)
| p103(X8) )
| p101(sK92)
| ! [X9] :
( p104(X9)
| ~ r1(sK92,X9) )
| ! [X10] :
( p102(X10)
| ~ r1(sK92,X10) ) )
& ( ! [X11] :
( p304(X11)
| ~ r1(sK92,X11) )
| p303(sK92)
| ! [X12] :
( ~ r1(sK92,X12)
| p305(X12) )
| p301(sK92)
| p302(sK92) )
& ( p505(sK92)
| p501(sK92)
| p503(sK92)
| p504(sK92)
| p502(sK92) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91,sK92])],[f221,f223,f222]) ).
fof(f222,plain,
( ? [X0] :
( ! [X1] :
( sP40(X1)
| ~ r1(X0,X1) )
& ? [X2] :
( ( p403(X2)
| p402(X2)
| p401(X2)
| p404(X2)
| ! [X3] :
( p405(X3)
| ~ r1(X2,X3) ) )
& r1(X0,X2)
& ( p605(X2)
| p602(X2)
| p604(X2)
| p603(X2)
| p601(X2) )
& ( ! [X4] :
( ~ r1(X2,X4)
| p205(X4) )
| p202(X2)
| ! [X5] :
( p203(X5)
| ~ r1(X2,X5) )
| ! [X6] :
( ~ r1(X2,X6)
| p204(X6) )
| p201(X2) )
& ( ! [X7] :
( p105(X7)
| ~ r1(X2,X7) )
| ! [X8] :
( ~ r1(X2,X8)
| p103(X8) )
| p101(X2)
| ! [X9] :
( p104(X9)
| ~ r1(X2,X9) )
| ! [X10] :
( p102(X10)
| ~ r1(X2,X10) ) )
& ( ! [X11] :
( p304(X11)
| ~ r1(X2,X11) )
| p303(X2)
| ! [X12] :
( ~ r1(X2,X12)
| p305(X12) )
| p301(X2)
| p302(X2) )
& ( p505(X2)
| p501(X2)
| p503(X2)
| p504(X2)
| p502(X2) ) ) )
=> ( ! [X1] :
( sP40(X1)
| ~ r1(sK91,X1) )
& ? [X2] :
( ( p403(X2)
| p402(X2)
| p401(X2)
| p404(X2)
| ! [X3] :
( p405(X3)
| ~ r1(X2,X3) ) )
& r1(sK91,X2)
& ( p605(X2)
| p602(X2)
| p604(X2)
| p603(X2)
| p601(X2) )
& ( ! [X4] :
( ~ r1(X2,X4)
| p205(X4) )
| p202(X2)
| ! [X5] :
( p203(X5)
| ~ r1(X2,X5) )
| ! [X6] :
( ~ r1(X2,X6)
| p204(X6) )
| p201(X2) )
& ( ! [X7] :
( p105(X7)
| ~ r1(X2,X7) )
| ! [X8] :
( ~ r1(X2,X8)
| p103(X8) )
| p101(X2)
| ! [X9] :
( p104(X9)
| ~ r1(X2,X9) )
| ! [X10] :
( p102(X10)
| ~ r1(X2,X10) ) )
& ( ! [X11] :
( p304(X11)
| ~ r1(X2,X11) )
| p303(X2)
| ! [X12] :
( ~ r1(X2,X12)
| p305(X12) )
| p301(X2)
| p302(X2) )
& ( p505(X2)
| p501(X2)
| p503(X2)
| p504(X2)
| p502(X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
( ? [X2] :
( ( p403(X2)
| p402(X2)
| p401(X2)
| p404(X2)
| ! [X3] :
( p405(X3)
| ~ r1(X2,X3) ) )
& r1(sK91,X2)
& ( p605(X2)
| p602(X2)
| p604(X2)
| p603(X2)
| p601(X2) )
& ( ! [X4] :
( ~ r1(X2,X4)
| p205(X4) )
| p202(X2)
| ! [X5] :
( p203(X5)
| ~ r1(X2,X5) )
| ! [X6] :
( ~ r1(X2,X6)
| p204(X6) )
| p201(X2) )
& ( ! [X7] :
( p105(X7)
| ~ r1(X2,X7) )
| ! [X8] :
( ~ r1(X2,X8)
| p103(X8) )
| p101(X2)
| ! [X9] :
( p104(X9)
| ~ r1(X2,X9) )
| ! [X10] :
( p102(X10)
| ~ r1(X2,X10) ) )
& ( ! [X11] :
( p304(X11)
| ~ r1(X2,X11) )
| p303(X2)
| ! [X12] :
( ~ r1(X2,X12)
| p305(X12) )
| p301(X2)
| p302(X2) )
& ( p505(X2)
| p501(X2)
| p503(X2)
| p504(X2)
| p502(X2) ) )
=> ( ( p403(sK92)
| p402(sK92)
| p401(sK92)
| p404(sK92)
| ! [X3] :
( p405(X3)
| ~ r1(sK92,X3) ) )
& r1(sK91,sK92)
& ( p605(sK92)
| p602(sK92)
| p604(sK92)
| p603(sK92)
| p601(sK92) )
& ( ! [X4] :
( ~ r1(sK92,X4)
| p205(X4) )
| p202(sK92)
| ! [X5] :
( p203(X5)
| ~ r1(sK92,X5) )
| ! [X6] :
( ~ r1(sK92,X6)
| p204(X6) )
| p201(sK92) )
& ( ! [X7] :
( p105(X7)
| ~ r1(sK92,X7) )
| ! [X8] :
( ~ r1(sK92,X8)
| p103(X8) )
| p101(sK92)
| ! [X9] :
( p104(X9)
| ~ r1(sK92,X9) )
| ! [X10] :
( p102(X10)
| ~ r1(sK92,X10) ) )
& ( ! [X11] :
( p304(X11)
| ~ r1(sK92,X11) )
| p303(sK92)
| ! [X12] :
( ~ r1(sK92,X12)
| p305(X12) )
| p301(sK92)
| p302(sK92) )
& ( p505(sK92)
| p501(sK92)
| p503(sK92)
| p504(sK92)
| p502(sK92) ) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
? [X0] :
( ! [X1] :
( sP40(X1)
| ~ r1(X0,X1) )
& ? [X2] :
( ( p403(X2)
| p402(X2)
| p401(X2)
| p404(X2)
| ! [X3] :
( p405(X3)
| ~ r1(X2,X3) ) )
& r1(X0,X2)
& ( p605(X2)
| p602(X2)
| p604(X2)
| p603(X2)
| p601(X2) )
& ( ! [X4] :
( ~ r1(X2,X4)
| p205(X4) )
| p202(X2)
| ! [X5] :
( p203(X5)
| ~ r1(X2,X5) )
| ! [X6] :
( ~ r1(X2,X6)
| p204(X6) )
| p201(X2) )
& ( ! [X7] :
( p105(X7)
| ~ r1(X2,X7) )
| ! [X8] :
( ~ r1(X2,X8)
| p103(X8) )
| p101(X2)
| ! [X9] :
( p104(X9)
| ~ r1(X2,X9) )
| ! [X10] :
( p102(X10)
| ~ r1(X2,X10) ) )
& ( ! [X11] :
( p304(X11)
| ~ r1(X2,X11) )
| p303(X2)
| ! [X12] :
( ~ r1(X2,X12)
| p305(X12) )
| p301(X2)
| p302(X2) )
& ( p505(X2)
| p501(X2)
| p503(X2)
| p504(X2)
| p502(X2) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
? [X0] :
( ! [X12] :
( sP40(X12)
| ~ r1(X0,X12) )
& ? [X1] :
( ( p403(X1)
| p402(X1)
| p401(X1)
| p404(X1)
| ! [X9] :
( p405(X9)
| ~ r1(X1,X9) ) )
& r1(X0,X1)
& ( p605(X1)
| p602(X1)
| p604(X1)
| p603(X1)
| p601(X1) )
& ( ! [X7] :
( ~ r1(X1,X7)
| p205(X7) )
| p202(X1)
| ! [X8] :
( p203(X8)
| ~ r1(X1,X8) )
| ! [X6] :
( ~ r1(X1,X6)
| p204(X6) )
| p201(X1) )
& ( ! [X3] :
( p105(X3)
| ~ r1(X1,X3) )
| ! [X5] :
( ~ r1(X1,X5)
| p103(X5) )
| p101(X1)
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) ) )
& ( ! [X10] :
( p304(X10)
| ~ r1(X1,X10) )
| p303(X1)
| ! [X11] :
( ~ r1(X1,X11)
| p305(X11) )
| p301(X1)
| p302(X1) )
& ( p505(X1)
| p501(X1)
| p503(X1)
| p504(X1)
| p502(X1) ) ) ),
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] :
( ? [X50] :
( ~ p205(X50)
& r1(X12,X50) )
| ? [X51] :
( ~ p305(X51)
& r1(X12,X51) )
| ~ sP0(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X12] :
( ? [X30] :
( ~ p105(X30)
& r1(X12,X30) )
| ? [X29] :
( r1(X12,X29)
& ~ p405(X29) )
| ~ sP1(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X12] :
( ? [X53] :
( ~ p205(X53)
& r1(X12,X53) )
| ? [X52] :
( ~ p105(X52)
& r1(X12,X52) )
| ~ sP2(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X12] :
( ? [X61] :
( ~ p204(X61)
& r1(X12,X61) )
| ? [X62] :
( r1(X12,X62)
& ~ p304(X62) )
| ~ sP3(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X12] :
( ? [X42] :
( r1(X12,X42)
& ~ p105(X42) )
| ? [X41] :
( r1(X12,X41)
& ~ p305(X41) )
| ~ sP4(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X12] :
( ? [X27] :
( r1(X12,X27)
& ~ p405(X27) )
| ? [X26] :
( ~ p205(X26)
& r1(X12,X26) )
| ~ sP5(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
! [X12] :
( ? [X21] :
( r1(X12,X21)
& ~ p304(X21) )
| ? [X22] :
( r1(X12,X22)
& ~ p104(X22) )
| ~ sP6(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
! [X12] :
( ? [X45] :
( r1(X12,X45)
& ~ p204(X45) )
| ? [X44] :
( ~ p104(X44)
& r1(X12,X44) )
| ~ sP7(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
! [X12] :
( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ? [X23] :
( r1(X12,X23)
& ~ p103(X23) )
| ~ sP8(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
! [X12] :
( ? [X14] :
( r1(X12,X14)
& ~ p405(X14) )
| ? [X15] :
( r1(X12,X15)
& ~ p305(X15) )
| ~ sP9(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
! [X12] :
( ~ p504(X12)
| ? [X58] :
( r1(X12,X58)
& ~ p104(X58) )
| ~ sP10(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
! [X12] :
( ? [X57] :
( r1(X12,X57)
& ~ p203(X57) )
| ~ p603(X12)
| ~ sP11(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
! [X12] :
( ~ p505(X12)
| ? [X18] :
( r1(X12,X18)
& ~ p305(X18) )
| ~ sP12(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
! [X12] :
( ~ p202(X12)
| ? [X48] :
( r1(X12,X48)
& ~ p102(X48) )
| ~ sP13(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
! [X12] :
( ~ p505(X12)
| ? [X16] :
( ~ p105(X16)
& r1(X12,X16) )
| ~ sP14(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
! [X12] :
( ~ p603(X12)
| ? [X39] :
( ~ p103(X39)
& r1(X12,X39) )
| ~ sP15(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
! [X12] :
( ? [X36] :
( ~ p105(X36)
& r1(X12,X36) )
| ~ p605(X12)
| ~ sP16(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
! [X12] :
( ? [X33] :
( r1(X12,X33)
& ~ p203(X33) )
| ~ p303(X12)
| ~ sP17(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
! [X12] :
( ~ p404(X12)
| ? [X17] :
( r1(X12,X17)
& ~ p304(X17) )
| ~ sP18(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
! [X12] :
( ~ p604(X12)
| ? [X56] :
( r1(X12,X56)
& ~ p304(X56) )
| ~ sP19(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
! [X12] :
( ~ p605(X12)
| ? [X55] :
( ~ p305(X55)
& r1(X12,X55) )
| ~ sP20(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
! [X12] :
( ~ p503(X12)
| ? [X60] :
( r1(X12,X60)
& ~ p203(X60) )
| ~ sP21(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
! [X12] :
( ? [X19] :
( ~ p203(X19)
& r1(X12,X19) )
| ~ p403(X12)
| ~ sP22(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
! [X12] :
( ? [X49] :
( r1(X12,X49)
& ~ p204(X49) )
| ~ p404(X12)
| ~ sP23(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
! [X12] :
( ~ p505(X12)
| ? [X13] :
( ~ p205(X13)
& r1(X12,X13) )
| ~ sP24(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
! [X12] :
( ~ p402(X12)
| ? [X40] :
( ~ p102(X40)
& r1(X12,X40) )
| ~ sP25(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f33,plain,
! [X12] :
( ? [X28] :
( ~ p103(X28)
& r1(X12,X28) )
| ~ p303(X12)
| ~ sP26(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f34,plain,
! [X12] :
( ~ p504(X12)
| ? [X34] :
( ~ p304(X34)
& r1(X12,X34) )
| ~ sP27(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f35,plain,
! [X12] :
( ~ p404(X12)
| ? [X59] :
( r1(X12,X59)
& ~ p104(X59) )
| ~ sP28(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f36,plain,
! [X12] :
( ? [X37] :
( ~ p102(X37)
& r1(X12,X37) )
| ~ p502(X12)
| ~ sP29(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f37,plain,
! [X12] :
( ~ p605(X12)
| ? [X31] :
( ~ p205(X31)
& r1(X12,X31) )
| ~ sP30(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
! [X12] :
( ? [X43] :
( r1(X12,X43)
& ~ p405(X43) )
| ~ p505(X12)
| ~ sP31(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
! [X12] :
( ? [X47] :
( ~ p104(X47)
& r1(X12,X47) )
| ~ p604(X12)
| ~ sP32(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f40,plain,
! [X12] :
( ~ p605(X12)
| ? [X54] :
( ~ p405(X54)
& r1(X12,X54) )
| ~ sP33(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f41,plain,
! [X12] :
( ? [X35] :
( r1(X12,X35)
& ~ p103(X35) )
| ~ p503(X12)
| ~ sP34(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f42,plain,
! [X12] :
( ? [X38] :
( r1(X12,X38)
& ~ p103(X38) )
| ~ p403(X12)
| ~ sP35(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
! [X12] :
( ~ p602(X12)
| ? [X46] :
( ~ p102(X46)
& r1(X12,X46) )
| ~ sP36(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
! [X12] :
( ? [X20] :
( ~ p204(X20)
& r1(X12,X20) )
| ~ p504(X12)
| ~ sP37(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
! [X12] :
( ? [X32] :
( ~ p102(X32)
& r1(X12,X32) )
| ~ p302(X12)
| ~ sP38(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
! [X12] :
( ? [X25] :
( r1(X12,X25)
& ~ p204(X25) )
| ~ p604(X12)
| ~ sP39(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f6,plain,
? [X0] :
( ! [X12] :
( ( ( ? [X14] :
( r1(X12,X14)
& ~ p405(X14) )
| ? [X15] :
( r1(X12,X15)
& ~ p305(X15) ) )
& ( ? [X25] :
( r1(X12,X25)
& ~ p204(X25) )
| ~ p604(X12) )
& ( ? [X32] :
( ~ p102(X32)
& r1(X12,X32) )
| ~ p302(X12) )
& ( ? [X20] :
( ~ p204(X20)
& r1(X12,X20) )
| ~ p504(X12) )
& ( ~ p404(X12)
| ~ p504(X12) )
& ( ~ p602(X12)
| ? [X46] :
( ~ p102(X46)
& r1(X12,X46) ) )
& ( ~ p501(X12)
| ~ p401(X12) )
& ( ~ p502(X12)
| ~ p402(X12) )
& ( ~ p504(X12)
| ~ p604(X12) )
& ( ~ p605(X12)
| ~ p505(X12) )
& ( ~ p301(X12)
| ~ p601(X12) )
& ( ~ p603(X12)
| ~ p503(X12) )
& ( ? [X38] :
( r1(X12,X38)
& ~ p103(X38) )
| ~ p403(X12) )
& ( ~ p202(X12)
| ~ p602(X12) )
& ( ~ p402(X12)
| ~ p202(X12) )
& ( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ? [X23] :
( r1(X12,X23)
& ~ p103(X23) ) )
& ( ~ p601(X12)
| ~ p101(X12) )
& ( ? [X35] :
( r1(X12,X35)
& ~ p103(X35) )
| ~ p503(X12) )
& ( ~ p201(X12)
| ~ p301(X12) )
& ( ~ p605(X12)
| ? [X54] :
( ~ p405(X54)
& r1(X12,X54) ) )
& ( ? [X47] :
( ~ p104(X47)
& r1(X12,X47) )
| ~ p604(X12) )
& ( ~ p502(X12)
| ~ p602(X12) )
& ( ? [X43] :
( r1(X12,X43)
& ~ p405(X43) )
| ~ p505(X12) )
& ( ~ p605(X12)
| ? [X31] :
( ~ p205(X31)
& r1(X12,X31) ) )
& ( ? [X45] :
( r1(X12,X45)
& ~ p204(X45) )
| ? [X44] :
( ~ p104(X44)
& r1(X12,X44) ) )
& ( ~ p201(X12)
| ~ p601(X12) )
& ( ~ p101(X12)
| ~ p401(X12) )
& ( ? [X37] :
( ~ p102(X37)
& r1(X12,X37) )
| ~ p502(X12) )
& ( ? [X21] :
( r1(X12,X21)
& ~ p304(X21) )
| ? [X22] :
( r1(X12,X22)
& ~ p104(X22) ) )
& ( ~ p404(X12)
| ? [X59] :
( r1(X12,X59)
& ~ p104(X59) ) )
& ( ~ p504(X12)
| ? [X34] :
( ~ p304(X34)
& r1(X12,X34) ) )
& ( ~ p501(X12)
| ~ p601(X12) )
& ( ? [X28] :
( ~ p103(X28)
& r1(X12,X28) )
| ~ p303(X12) )
& ( ~ p501(X12)
| ~ p301(X12) )
& ( ~ p402(X12)
| ? [X40] :
( ~ p102(X40)
& r1(X12,X40) ) )
& ( ~ p601(X12)
| ~ p401(X12) )
& ( ~ p505(X12)
| ? [X13] :
( ~ p205(X13)
& r1(X12,X13) ) )
& ( ? [X49] :
( r1(X12,X49)
& ~ p204(X49) )
| ~ p404(X12) )
& ( ~ p201(X12)
| ~ p401(X12) )
& ( ? [X27] :
( r1(X12,X27)
& ~ p405(X27) )
| ? [X26] :
( ~ p205(X26)
& r1(X12,X26) ) )
& ( ~ p403(X12)
| ~ p503(X12) )
& ( ~ p302(X12)
| ~ p402(X12) )
& ( ~ p602(X12)
| ~ p402(X12) )
& ( ? [X19] :
( ~ p203(X19)
& r1(X12,X19) )
| ~ p403(X12) )
& ( ~ p301(X12)
| ~ p401(X12) )
& ( ~ p503(X12)
| ? [X60] :
( r1(X12,X60)
& ~ p203(X60) ) )
& ( ~ p605(X12)
| ? [X55] :
( ~ p305(X55)
& r1(X12,X55) ) )
& ( ~ p604(X12)
| ? [X56] :
( r1(X12,X56)
& ~ p304(X56) ) )
& ( ? [X42] :
( r1(X12,X42)
& ~ p105(X42) )
| ? [X41] :
( r1(X12,X41)
& ~ p305(X41) ) )
& ( ~ p302(X12)
| ~ p502(X12) )
& ( ~ p404(X12)
| ? [X17] :
( r1(X12,X17)
& ~ p304(X17) ) )
& ( ? [X33] :
( r1(X12,X33)
& ~ p203(X33) )
| ~ p303(X12) )
& ( ? [X61] :
( ~ p204(X61)
& r1(X12,X61) )
| ? [X62] :
( r1(X12,X62)
& ~ p304(X62) ) )
& ( ? [X36] :
( ~ p105(X36)
& r1(X12,X36) )
| ~ p605(X12) )
& ( ~ p201(X12)
| ~ p501(X12) )
& ( ? [X53] :
( ~ p205(X53)
& r1(X12,X53) )
| ? [X52] :
( ~ p105(X52)
& r1(X12,X52) ) )
& ( ~ p603(X12)
| ? [X39] :
( ~ p103(X39)
& r1(X12,X39) ) )
& ( ? [X30] :
( ~ p105(X30)
& r1(X12,X30) )
| ? [X29] :
( r1(X12,X29)
& ~ p405(X29) ) )
& ( ~ p101(X12)
| ~ p501(X12) )
& ( ~ p302(X12)
| ~ p602(X12) )
& ( ~ p201(X12)
| ~ p101(X12) )
& ( ~ p505(X12)
| ? [X16] :
( ~ p105(X16)
& r1(X12,X16) ) )
& ( ~ p301(X12)
| ~ p101(X12) )
& ( ~ p202(X12)
| ~ p502(X12) )
& ( ~ p503(X12)
| ~ p303(X12) )
& ( ~ p202(X12)
| ? [X48] :
( r1(X12,X48)
& ~ p102(X48) ) )
& ( ~ p604(X12)
| ~ p404(X12) )
& ( ? [X50] :
( ~ p205(X50)
& r1(X12,X50) )
| ? [X51] :
( ~ p305(X51)
& r1(X12,X51) ) )
& ( ~ p603(X12)
| ~ p403(X12) )
& ( ~ p505(X12)
| ? [X18] :
( r1(X12,X18)
& ~ p305(X18) ) )
& ( ? [X57] :
( r1(X12,X57)
& ~ p203(X57) )
| ~ p603(X12) )
& ( ~ p504(X12)
| ? [X58] :
( r1(X12,X58)
& ~ p104(X58) ) )
& ( ~ p202(X12)
| ~ p302(X12) )
& ( ~ p303(X12)
| ~ p403(X12) )
& ( ~ p303(X12)
| ~ p603(X12) ) )
| ~ r1(X0,X12) )
& ? [X1] :
( ( p403(X1)
| p402(X1)
| p401(X1)
| p404(X1)
| ! [X9] :
( p405(X9)
| ~ r1(X1,X9) ) )
& r1(X0,X1)
& ( p605(X1)
| p602(X1)
| p604(X1)
| p603(X1)
| p601(X1) )
& ( ! [X7] :
( ~ r1(X1,X7)
| p205(X7) )
| p202(X1)
| ! [X8] :
( p203(X8)
| ~ r1(X1,X8) )
| ! [X6] :
( ~ r1(X1,X6)
| p204(X6) )
| p201(X1) )
& ( ! [X3] :
( p105(X3)
| ~ r1(X1,X3) )
| ! [X5] :
( ~ r1(X1,X5)
| p103(X5) )
| p101(X1)
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) ) )
& ( ! [X10] :
( p304(X10)
| ~ r1(X1,X10) )
| p303(X1)
| ! [X11] :
( ~ r1(X1,X11)
| p305(X11) )
| p301(X1)
| p302(X1) )
& ( p505(X1)
| p501(X1)
| p503(X1)
| p504(X1)
| p502(X1) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ( p505(X1)
| p501(X1)
| p503(X1)
| p504(X1)
| p502(X1) )
& ( ! [X7] :
( ~ r1(X1,X7)
| p205(X7) )
| p202(X1)
| ! [X8] :
( p203(X8)
| ~ r1(X1,X8) )
| ! [X6] :
( ~ r1(X1,X6)
| p204(X6) )
| p201(X1) )
& ( ! [X10] :
( p304(X10)
| ~ r1(X1,X10) )
| p303(X1)
| ! [X11] :
( ~ r1(X1,X11)
| p305(X11) )
| p301(X1)
| p302(X1) )
& ( ! [X3] :
( p105(X3)
| ~ r1(X1,X3) )
| ! [X5] :
( ~ r1(X1,X5)
| p103(X5) )
| p101(X1)
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) ) )
& ( p605(X1)
| p602(X1)
| p604(X1)
| p603(X1)
| p601(X1) )
& ( p403(X1)
| p402(X1)
| p401(X1)
| p404(X1)
| ! [X9] :
( p405(X9)
| ~ r1(X1,X9) ) ) )
& ! [X12] :
( ( ( ? [X14] :
( r1(X12,X14)
& ~ p405(X14) )
| ? [X15] :
( r1(X12,X15)
& ~ p305(X15) ) )
& ( ? [X25] :
( r1(X12,X25)
& ~ p204(X25) )
| ~ p604(X12) )
& ( ? [X32] :
( ~ p102(X32)
& r1(X12,X32) )
| ~ p302(X12) )
& ( ? [X20] :
( ~ p204(X20)
& r1(X12,X20) )
| ~ p504(X12) )
& ( ~ p404(X12)
| ~ p504(X12) )
& ( ~ p602(X12)
| ? [X46] :
( ~ p102(X46)
& r1(X12,X46) ) )
& ( ~ p501(X12)
| ~ p401(X12) )
& ( ~ p502(X12)
| ~ p402(X12) )
& ( ~ p504(X12)
| ~ p604(X12) )
& ( ~ p605(X12)
| ~ p505(X12) )
& ( ~ p301(X12)
| ~ p601(X12) )
& ( ~ p603(X12)
| ~ p503(X12) )
& ( ? [X38] :
( r1(X12,X38)
& ~ p103(X38) )
| ~ p403(X12) )
& ( ~ p202(X12)
| ~ p602(X12) )
& ( ~ p402(X12)
| ~ p202(X12) )
& ( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ? [X23] :
( r1(X12,X23)
& ~ p103(X23) ) )
& ( ~ p601(X12)
| ~ p101(X12) )
& ( ? [X35] :
( r1(X12,X35)
& ~ p103(X35) )
| ~ p503(X12) )
& ( ~ p201(X12)
| ~ p301(X12) )
& ( ~ p605(X12)
| ? [X54] :
( ~ p405(X54)
& r1(X12,X54) ) )
& ( ? [X47] :
( ~ p104(X47)
& r1(X12,X47) )
| ~ p604(X12) )
& ( ~ p502(X12)
| ~ p602(X12) )
& ( ? [X43] :
( r1(X12,X43)
& ~ p405(X43) )
| ~ p505(X12) )
& ( ~ p605(X12)
| ? [X31] :
( ~ p205(X31)
& r1(X12,X31) ) )
& ( ? [X45] :
( r1(X12,X45)
& ~ p204(X45) )
| ? [X44] :
( ~ p104(X44)
& r1(X12,X44) ) )
& ( ~ p201(X12)
| ~ p601(X12) )
& ( ~ p101(X12)
| ~ p401(X12) )
& ( ? [X37] :
( ~ p102(X37)
& r1(X12,X37) )
| ~ p502(X12) )
& ( ? [X21] :
( r1(X12,X21)
& ~ p304(X21) )
| ? [X22] :
( r1(X12,X22)
& ~ p104(X22) ) )
& ( ~ p404(X12)
| ? [X59] :
( r1(X12,X59)
& ~ p104(X59) ) )
& ( ~ p504(X12)
| ? [X34] :
( ~ p304(X34)
& r1(X12,X34) ) )
& ( ~ p501(X12)
| ~ p601(X12) )
& ( ? [X28] :
( ~ p103(X28)
& r1(X12,X28) )
| ~ p303(X12) )
& ( ~ p501(X12)
| ~ p301(X12) )
& ( ~ p402(X12)
| ? [X40] :
( ~ p102(X40)
& r1(X12,X40) ) )
& ( ~ p601(X12)
| ~ p401(X12) )
& ( ~ p505(X12)
| ? [X13] :
( ~ p205(X13)
& r1(X12,X13) ) )
& ( ? [X49] :
( r1(X12,X49)
& ~ p204(X49) )
| ~ p404(X12) )
& ( ~ p201(X12)
| ~ p401(X12) )
& ( ? [X27] :
( r1(X12,X27)
& ~ p405(X27) )
| ? [X26] :
( ~ p205(X26)
& r1(X12,X26) ) )
& ( ~ p403(X12)
| ~ p503(X12) )
& ( ~ p302(X12)
| ~ p402(X12) )
& ( ~ p602(X12)
| ~ p402(X12) )
& ( ? [X19] :
( ~ p203(X19)
& r1(X12,X19) )
| ~ p403(X12) )
& ( ~ p301(X12)
| ~ p401(X12) )
& ( ~ p503(X12)
| ? [X60] :
( r1(X12,X60)
& ~ p203(X60) ) )
& ( ~ p605(X12)
| ? [X55] :
( ~ p305(X55)
& r1(X12,X55) ) )
& ( ~ p604(X12)
| ? [X56] :
( r1(X12,X56)
& ~ p304(X56) ) )
& ( ? [X42] :
( r1(X12,X42)
& ~ p105(X42) )
| ? [X41] :
( r1(X12,X41)
& ~ p305(X41) ) )
& ( ~ p302(X12)
| ~ p502(X12) )
& ( ~ p404(X12)
| ? [X17] :
( r1(X12,X17)
& ~ p304(X17) ) )
& ( ? [X33] :
( r1(X12,X33)
& ~ p203(X33) )
| ~ p303(X12) )
& ( ? [X61] :
( ~ p204(X61)
& r1(X12,X61) )
| ? [X62] :
( r1(X12,X62)
& ~ p304(X62) ) )
& ( ? [X36] :
( ~ p105(X36)
& r1(X12,X36) )
| ~ p605(X12) )
& ( ~ p201(X12)
| ~ p501(X12) )
& ( ? [X53] :
( ~ p205(X53)
& r1(X12,X53) )
| ? [X52] :
( ~ p105(X52)
& r1(X12,X52) ) )
& ( ~ p603(X12)
| ? [X39] :
( ~ p103(X39)
& r1(X12,X39) ) )
& ( ? [X30] :
( ~ p105(X30)
& r1(X12,X30) )
| ? [X29] :
( r1(X12,X29)
& ~ p405(X29) ) )
& ( ~ p101(X12)
| ~ p501(X12) )
& ( ~ p302(X12)
| ~ p602(X12) )
& ( ~ p201(X12)
| ~ p101(X12) )
& ( ~ p505(X12)
| ? [X16] :
( ~ p105(X16)
& r1(X12,X16) ) )
& ( ~ p301(X12)
| ~ p101(X12) )
& ( ~ p202(X12)
| ~ p502(X12) )
& ( ~ p503(X12)
| ~ p303(X12) )
& ( ~ p202(X12)
| ? [X48] :
( r1(X12,X48)
& ~ p102(X48) ) )
& ( ~ p604(X12)
| ~ p404(X12) )
& ( ? [X50] :
( ~ p205(X50)
& r1(X12,X50) )
| ? [X51] :
( ~ p305(X51)
& r1(X12,X51) ) )
& ( ~ p603(X12)
| ~ p403(X12) )
& ( ~ p505(X12)
| ? [X18] :
( r1(X12,X18)
& ~ p305(X18) ) )
& ( ? [X57] :
( r1(X12,X57)
& ~ p203(X57) )
| ~ p603(X12) )
& ( ~ p504(X12)
| ? [X58] :
( r1(X12,X58)
& ~ p104(X58) ) )
& ( ~ p202(X12)
| ~ p302(X12) )
& ( ~ p303(X12)
| ~ p403(X12) )
& ( ~ p303(X12)
| ~ p603(X12) ) )
| ~ r1(X0,X12) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p505(X1)
| p501(X1)
| p503(X1)
| p504(X1)
| p502(X1) )
& ( ! [X7] :
( ~ r1(X1,X7)
| p205(X7) )
| p202(X1)
| ! [X8] :
( p203(X8)
| ~ r1(X1,X8) )
| ! [X6] :
( ~ r1(X1,X6)
| p204(X6) )
| p201(X1) )
& ( ! [X10] :
( p304(X10)
| ~ r1(X1,X10) )
| p303(X1)
| ! [X11] :
( ~ r1(X1,X11)
| p305(X11) )
| p301(X1)
| p302(X1) )
& ( ! [X3] :
( p105(X3)
| ~ r1(X1,X3) )
| ! [X5] :
( ~ r1(X1,X5)
| p103(X5) )
| p101(X1)
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) ) )
& ( p605(X1)
| p602(X1)
| p604(X1)
| p603(X1)
| p601(X1) )
& ( p403(X1)
| p402(X1)
| p401(X1)
| p404(X1)
| ! [X9] :
( p405(X9)
| ~ r1(X1,X9) ) ) ) )
| ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ( ( ! [X32] :
( p102(X32)
| ~ r1(X12,X32) )
& p302(X12) )
| ( ! [X46] :
( p102(X46)
| ~ r1(X12,X46) )
& p602(X12) )
| ( p605(X12)
& ! [X36] :
( ~ r1(X12,X36)
| p105(X36) ) )
| ( p602(X12)
& p202(X12) )
| ( ! [X49] :
( p204(X49)
| ~ r1(X12,X49) )
& p404(X12) )
| ( p502(X12)
& p202(X12) )
| ( p505(X12)
& p605(X12) )
| ( p302(X12)
& p202(X12) )
| ( p303(X12)
& p603(X12) )
| ( p101(X12)
& p601(X12) )
| ( ! [X22] :
( p104(X22)
| ~ r1(X12,X22) )
& ! [X21] :
( ~ r1(X12,X21)
| p304(X21) ) )
| ( p604(X12)
& ! [X25] :
( ~ r1(X12,X25)
| p204(X25) ) )
| ( ! [X37] :
( ~ r1(X12,X37)
| p102(X37) )
& p502(X12) )
| ( p303(X12)
& p503(X12) )
| ( p604(X12)
& p404(X12) )
| ( p402(X12)
& p302(X12) )
| ( p505(X12)
& ! [X43] :
( ~ r1(X12,X43)
| p405(X43) ) )
| ( ! [X52] :
( p105(X52)
| ~ r1(X12,X52) )
& ! [X53] :
( p205(X53)
| ~ r1(X12,X53) ) )
| ( p605(X12)
& ! [X31] :
( p205(X31)
| ~ r1(X12,X31) ) )
| ( p302(X12)
& p502(X12) )
| ( p505(X12)
& ! [X13] :
( p205(X13)
| ~ r1(X12,X13) ) )
| ( p501(X12)
& p401(X12) )
| ( p101(X12)
& p401(X12) )
| ( p602(X12)
& p302(X12) )
| ( p501(X12)
& p201(X12) )
| ( p403(X12)
& ! [X19] :
( p203(X19)
| ~ r1(X12,X19) ) )
| ( p301(X12)
& p601(X12) )
| ( p101(X12)
& p301(X12) )
| ( p401(X12)
& p201(X12) )
| ( ! [X50] :
( p205(X50)
| ~ r1(X12,X50) )
& ! [X51] :
( ~ r1(X12,X51)
| p305(X51) ) )
| ( ! [X61] :
( p204(X61)
| ~ r1(X12,X61) )
& ! [X62] :
( p304(X62)
| ~ r1(X12,X62) ) )
| ( ! [X18] :
( p305(X18)
| ~ r1(X12,X18) )
& p505(X12) )
| ( ! [X14] :
( p405(X14)
| ~ r1(X12,X14) )
& ! [X15] :
( ~ r1(X12,X15)
| p305(X15) ) )
| ( p602(X12)
& p502(X12) )
| ( ! [X29] :
( ~ r1(X12,X29)
| p405(X29) )
& ! [X30] :
( ~ r1(X12,X30)
| p105(X30) ) )
| ( p605(X12)
& ! [X55] :
( p305(X55)
| ~ r1(X12,X55) ) )
| ( p201(X12)
& p301(X12) )
| ( p402(X12)
& ! [X40] :
( ~ r1(X12,X40)
| p102(X40) ) )
| ( p503(X12)
& p603(X12) )
| ( p601(X12)
& p201(X12) )
| ( p403(X12)
& p303(X12) )
| ( p503(X12)
& ! [X60] :
( p203(X60)
| ~ r1(X12,X60) ) )
| ( ! [X48] :
( p102(X48)
| ~ r1(X12,X48) )
& p202(X12) )
| ( p504(X12)
& ! [X20] :
( ~ r1(X12,X20)
| p204(X20) ) )
| ( ! [X38] :
( p103(X38)
| ~ r1(X12,X38) )
& p403(X12) )
| ( ! [X33] :
( ~ r1(X12,X33)
| p203(X33) )
& p303(X12) )
| ( ! [X34] :
( ~ r1(X12,X34)
| p304(X34) )
& p504(X12) )
| ( p402(X12)
& p502(X12) )
| ( ! [X58] :
( p104(X58)
| ~ r1(X12,X58) )
& p504(X12) )
| ( p603(X12)
& p403(X12) )
| ( p301(X12)
& p401(X12) )
| ( p604(X12)
& ! [X56] :
( ~ r1(X12,X56)
| p304(X56) ) )
| ( p402(X12)
& p602(X12) )
| ( p601(X12)
& p401(X12) )
| ( ! [X35] :
( p103(X35)
| ~ r1(X12,X35) )
& p503(X12) )
| ( ! [X28] :
( ~ r1(X12,X28)
| p103(X28) )
& p303(X12) )
| ( ! [X26] :
( p205(X26)
| ~ r1(X12,X26) )
& ! [X27] :
( p405(X27)
| ~ r1(X12,X27) ) )
| ( p503(X12)
& p403(X12) )
| ( p603(X12)
& ! [X57] :
( ~ r1(X12,X57)
| p203(X57) ) )
| ( ! [X41] :
( p305(X41)
| ~ r1(X12,X41) )
& ! [X42] :
( p105(X42)
| ~ r1(X12,X42) ) )
| ( p504(X12)
& p604(X12) )
| ( p501(X12)
& p101(X12) )
| ( ! [X24] :
( p203(X24)
| ~ r1(X12,X24) )
& ! [X23] :
( ~ r1(X12,X23)
| p103(X23) ) )
| ( ! [X39] :
( p103(X39)
| ~ r1(X12,X39) )
& p603(X12) )
| ( ! [X44] :
( ~ r1(X12,X44)
| p104(X44) )
& ! [X45] :
( p204(X45)
| ~ r1(X12,X45) ) )
| ( p301(X12)
& p501(X12) )
| ( ! [X17] :
( p304(X17)
| ~ r1(X12,X17) )
& p404(X12) )
| ( p504(X12)
& p404(X12) )
| ( p604(X12)
& ! [X47] :
( p104(X47)
| ~ r1(X12,X47) ) )
| ( p505(X12)
& ! [X16] :
( p105(X16)
| ~ r1(X12,X16) ) )
| ( p601(X12)
& p501(X12) )
| ( ! [X59] :
( ~ r1(X12,X59)
| p104(X59) )
& p404(X12) )
| ( ! [X54] :
( ~ r1(X12,X54)
| p405(X54) )
& p605(X12) )
| ( p101(X12)
& p201(X12) )
| ( p402(X12)
& p202(X12) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p505(X1)
| p501(X1)
| p503(X1)
| p504(X1)
| p502(X1) )
& ( ! [X7] :
( ~ r1(X1,X7)
| p205(X7) )
| p202(X1)
| ! [X8] :
( p203(X8)
| ~ r1(X1,X8) )
| ! [X6] :
( ~ r1(X1,X6)
| p204(X6) )
| p201(X1) )
& ( ! [X10] :
( p304(X10)
| ~ r1(X1,X10) )
| p303(X1)
| ! [X11] :
( ~ r1(X1,X11)
| p305(X11) )
| p301(X1)
| p302(X1) )
& ( ! [X3] :
( p105(X3)
| ~ r1(X1,X3) )
| ! [X5] :
( ~ r1(X1,X5)
| p103(X5) )
| p101(X1)
| ! [X4] :
( p104(X4)
| ~ r1(X1,X4) )
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) ) )
& ( p605(X1)
| p602(X1)
| p604(X1)
| p603(X1)
| p601(X1) )
& ( p403(X1)
| p402(X1)
| p401(X1)
| p404(X1)
| ! [X9] :
( p405(X9)
| ~ r1(X1,X9) ) ) ) )
| ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ( ( ! [X32] :
( p102(X32)
| ~ r1(X12,X32) )
& p302(X12) )
| ( ! [X46] :
( p102(X46)
| ~ r1(X12,X46) )
& p602(X12) )
| ( p605(X12)
& ! [X36] :
( ~ r1(X12,X36)
| p105(X36) ) )
| ( p602(X12)
& p202(X12) )
| ( ! [X49] :
( p204(X49)
| ~ r1(X12,X49) )
& p404(X12) )
| ( p502(X12)
& p202(X12) )
| ( p505(X12)
& p605(X12) )
| ( p302(X12)
& p202(X12) )
| ( p303(X12)
& p603(X12) )
| ( p101(X12)
& p601(X12) )
| ( ! [X22] :
( p104(X22)
| ~ r1(X12,X22) )
& ! [X21] :
( ~ r1(X12,X21)
| p304(X21) ) )
| ( p604(X12)
& ! [X25] :
( ~ r1(X12,X25)
| p204(X25) ) )
| ( ! [X37] :
( ~ r1(X12,X37)
| p102(X37) )
& p502(X12) )
| ( p303(X12)
& p503(X12) )
| ( p604(X12)
& p404(X12) )
| ( p402(X12)
& p302(X12) )
| ( p505(X12)
& ! [X43] :
( ~ r1(X12,X43)
| p405(X43) ) )
| ( ! [X52] :
( p105(X52)
| ~ r1(X12,X52) )
& ! [X53] :
( p205(X53)
| ~ r1(X12,X53) ) )
| ( p605(X12)
& ! [X31] :
( p205(X31)
| ~ r1(X12,X31) ) )
| ( p302(X12)
& p502(X12) )
| ( p505(X12)
& ! [X13] :
( p205(X13)
| ~ r1(X12,X13) ) )
| ( p501(X12)
& p401(X12) )
| ( p101(X12)
& p401(X12) )
| ( p602(X12)
& p302(X12) )
| ( p501(X12)
& p201(X12) )
| ( p403(X12)
& ! [X19] :
( p203(X19)
| ~ r1(X12,X19) ) )
| ( p301(X12)
& p601(X12) )
| ( p101(X12)
& p301(X12) )
| ( p401(X12)
& p201(X12) )
| ( ! [X50] :
( p205(X50)
| ~ r1(X12,X50) )
& ! [X51] :
( ~ r1(X12,X51)
| p305(X51) ) )
| ( ! [X61] :
( p204(X61)
| ~ r1(X12,X61) )
& ! [X62] :
( p304(X62)
| ~ r1(X12,X62) ) )
| ( ! [X18] :
( p305(X18)
| ~ r1(X12,X18) )
& p505(X12) )
| ( ! [X14] :
( p405(X14)
| ~ r1(X12,X14) )
& ! [X15] :
( ~ r1(X12,X15)
| p305(X15) ) )
| ( p602(X12)
& p502(X12) )
| ( ! [X29] :
( ~ r1(X12,X29)
| p405(X29) )
& ! [X30] :
( ~ r1(X12,X30)
| p105(X30) ) )
| ( p605(X12)
& ! [X55] :
( p305(X55)
| ~ r1(X12,X55) ) )
| ( p201(X12)
& p301(X12) )
| ( p402(X12)
& ! [X40] :
( ~ r1(X12,X40)
| p102(X40) ) )
| ( p503(X12)
& p603(X12) )
| ( p601(X12)
& p201(X12) )
| ( p403(X12)
& p303(X12) )
| ( p503(X12)
& ! [X60] :
( p203(X60)
| ~ r1(X12,X60) ) )
| ( ! [X48] :
( p102(X48)
| ~ r1(X12,X48) )
& p202(X12) )
| ( p504(X12)
& ! [X20] :
( ~ r1(X12,X20)
| p204(X20) ) )
| ( ! [X38] :
( p103(X38)
| ~ r1(X12,X38) )
& p403(X12) )
| ( ! [X33] :
( ~ r1(X12,X33)
| p203(X33) )
& p303(X12) )
| ( ! [X34] :
( ~ r1(X12,X34)
| p304(X34) )
& p504(X12) )
| ( p402(X12)
& p502(X12) )
| ( ! [X58] :
( p104(X58)
| ~ r1(X12,X58) )
& p504(X12) )
| ( p603(X12)
& p403(X12) )
| ( p301(X12)
& p401(X12) )
| ( p604(X12)
& ! [X56] :
( ~ r1(X12,X56)
| p304(X56) ) )
| ( p402(X12)
& p602(X12) )
| ( p601(X12)
& p401(X12) )
| ( ! [X35] :
( p103(X35)
| ~ r1(X12,X35) )
& p503(X12) )
| ( ! [X28] :
( ~ r1(X12,X28)
| p103(X28) )
& p303(X12) )
| ( ! [X26] :
( p205(X26)
| ~ r1(X12,X26) )
& ! [X27] :
( p405(X27)
| ~ r1(X12,X27) ) )
| ( p503(X12)
& p403(X12) )
| ( p603(X12)
& ! [X57] :
( ~ r1(X12,X57)
| p203(X57) ) )
| ( ! [X41] :
( p305(X41)
| ~ r1(X12,X41) )
& ! [X42] :
( p105(X42)
| ~ r1(X12,X42) ) )
| ( p504(X12)
& p604(X12) )
| ( p501(X12)
& p101(X12) )
| ( ! [X24] :
( p203(X24)
| ~ r1(X12,X24) )
& ! [X23] :
( ~ r1(X12,X23)
| p103(X23) ) )
| ( ! [X39] :
( p103(X39)
| ~ r1(X12,X39) )
& p603(X12) )
| ( ! [X44] :
( ~ r1(X12,X44)
| p104(X44) )
& ! [X45] :
( p204(X45)
| ~ r1(X12,X45) ) )
| ( p301(X12)
& p501(X12) )
| ( ! [X17] :
( p304(X17)
| ~ r1(X12,X17) )
& p404(X12) )
| ( p504(X12)
& p404(X12) )
| ( p604(X12)
& ! [X47] :
( p104(X47)
| ~ r1(X12,X47) ) )
| ( p505(X12)
& ! [X16] :
( p105(X16)
| ~ r1(X12,X16) ) )
| ( p601(X12)
& p501(X12) )
| ( ! [X59] :
( ~ r1(X12,X59)
| p104(X59) )
& p404(X12) )
| ( ! [X54] :
( ~ r1(X12,X54)
| p405(X54) )
& p605(X12) )
| ( p101(X12)
& p201(X12) )
| ( p402(X12)
& p202(X12) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ( ( ! [X0] :
( ~ r1(X1,X0)
| p102(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| p105(X0) )
| p101(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| p103(X0) ) )
& ( p605(X1)
| p602(X1)
| p604(X1)
| p603(X1)
| p601(X1) )
& ( p505(X1)
| p501(X1)
| p503(X1)
| p504(X1)
| p502(X1) )
& ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
| p202(X1)
| p201(X1) )
& ( p401(X1)
| p404(X1)
| p402(X1)
| ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
| p403(X1) )
& ( p303(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p304(X0) )
| ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
| p301(X1)
| p302(X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p105(X0) )
& p505(X1) )
| ( p201(X1)
& p301(X1) )
| ( p201(X1)
& p501(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( p404(X1)
& p504(X1) )
| ( p302(X1)
& p602(X1) )
| ( p302(X1)
& p402(X1) )
| ( p505(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p305(X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p203(X0) )
& p403(X1) )
| ( p501(X1)
& p101(X1) )
| ( p403(X1)
& p303(X1) )
| ( p603(X1)
& p403(X1) )
| ( p502(X1)
& p602(X1) )
| ( p504(X1)
& ! [X0] :
( p204(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p104(X0) ) )
| ( p601(X1)
& p201(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p103(X0) )
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( p604(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p204(X0) ) )
| ( p604(X1)
& p404(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p205(X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( p303(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p103(X0) ) )
| ( p101(X1)
& p601(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p405(X0) )
& ! [X0] :
( p105(X0)
| ~ r1(X1,X0) ) )
| ( p605(X1)
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( p302(X1)
& ! [X0] :
( p102(X0)
| ~ r1(X1,X0) ) )
| ( p202(X1)
& p302(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( p504(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p304(X0) ) )
| ( p501(X1)
& p601(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( p101(X1)
& p401(X1) )
| ( p502(X1)
& p402(X1) )
| ( p605(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p105(X0) ) )
| ( p202(X1)
& p402(X1) )
| ( p503(X1)
& p303(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p102(X0) )
& p502(X1) )
| ( p503(X1)
& p403(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p103(X0) )
& p403(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p103(X0) )
& p603(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p402(X1) )
| ( p501(X1)
& p301(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p105(X0)
| ~ r1(X1,X0) ) )
| ( p401(X1)
& p501(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
& ! [X0] :
( p204(X0)
| ~ r1(X1,X0) ) )
| ( p301(X1)
& p401(X1) )
| ( p602(X1)
& ! [X0] :
( p102(X0)
| ~ r1(X1,X0) ) )
| ( p604(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p104(X0) ) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p202(X1) )
| ( p201(X1)
& p101(X1) )
| ( p404(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p204(X0) ) )
| ( p201(X1)
& p401(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p205(X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p105(X0) )
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( p301(X1)
& p601(X1) )
| ( p101(X1)
& p301(X1) )
| ( p605(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p405(X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p603(X1)
& p303(X1) )
| ( p202(X1)
& p602(X1) )
| ( p302(X1)
& p502(X1) )
| ( p604(X1)
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( p502(X1)
& p202(X1) )
| ( p603(X1)
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( p404(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p104(X0) ) )
| ( p605(X1)
& p505(X1) )
| ( p503(X1)
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( p603(X1)
& p503(X1) )
| ( p602(X1)
& p402(X1) )
| ( p401(X1)
& p601(X1) )
| ( p504(X1)
& p604(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ( ( ! [X0] :
( ~ r1(X1,X0)
| p102(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| p105(X0) )
| p101(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| p103(X0) ) )
& ( p605(X1)
| p602(X1)
| p604(X1)
| p603(X1)
| p601(X1) )
& ( p505(X1)
| p501(X1)
| p503(X1)
| p504(X1)
| p502(X1) )
& ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
| p202(X1)
| p201(X1) )
& ( p401(X1)
| p404(X1)
| p402(X1)
| ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
| p403(X1) )
& ( p303(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p304(X0) )
| ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
| p301(X1)
| p302(X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p105(X0) )
& p505(X1) )
| ( p201(X1)
& p301(X1) )
| ( p201(X1)
& p501(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( p404(X1)
& p504(X1) )
| ( p302(X1)
& p602(X1) )
| ( p302(X1)
& p402(X1) )
| ( p505(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p305(X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p203(X0) )
& p403(X1) )
| ( p501(X1)
& p101(X1) )
| ( p403(X1)
& p303(X1) )
| ( p603(X1)
& p403(X1) )
| ( p502(X1)
& p602(X1) )
| ( p504(X1)
& ! [X0] :
( p204(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p104(X0) ) )
| ( p601(X1)
& p201(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p103(X0) )
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( p604(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p204(X0) ) )
| ( p604(X1)
& p404(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p205(X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( p303(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p103(X0) ) )
| ( p101(X1)
& p601(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p405(X0) )
& ! [X0] :
( p105(X0)
| ~ r1(X1,X0) ) )
| ( p605(X1)
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( p302(X1)
& ! [X0] :
( p102(X0)
| ~ r1(X1,X0) ) )
| ( p202(X1)
& p302(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( p504(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p304(X0) ) )
| ( p501(X1)
& p601(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( p101(X1)
& p401(X1) )
| ( p502(X1)
& p402(X1) )
| ( p605(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p105(X0) ) )
| ( p202(X1)
& p402(X1) )
| ( p503(X1)
& p303(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p102(X0) )
& p502(X1) )
| ( p503(X1)
& p403(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p103(X0) )
& p403(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p103(X0) )
& p603(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p402(X1) )
| ( p501(X1)
& p301(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p105(X0)
| ~ r1(X1,X0) ) )
| ( p401(X1)
& p501(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
& ! [X0] :
( p204(X0)
| ~ r1(X1,X0) ) )
| ( p301(X1)
& p401(X1) )
| ( p602(X1)
& ! [X0] :
( p102(X0)
| ~ r1(X1,X0) ) )
| ( p604(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p104(X0) ) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p202(X1) )
| ( p201(X1)
& p101(X1) )
| ( p404(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p204(X0) ) )
| ( p201(X1)
& p401(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p205(X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p105(X0) )
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( p301(X1)
& p601(X1) )
| ( p101(X1)
& p301(X1) )
| ( p605(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p405(X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p603(X1)
& p303(X1) )
| ( p202(X1)
& p602(X1) )
| ( p302(X1)
& p502(X1) )
| ( p604(X1)
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( p502(X1)
& p202(X1) )
| ( p603(X1)
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( p404(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p104(X0) ) )
| ( p605(X1)
& p505(X1) )
| ( p503(X1)
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( p603(X1)
& p503(X1) )
| ( p602(X1)
& p402(X1) )
| ( p401(X1)
& p601(X1) )
| ( p504(X1)
& p604(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f407,plain,
! [X1] :
( ~ r1(sK91,X1)
| sP40(X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f2817,plain,
( ~ sP26(sK92)
| ~ p303(sK92)
| ~ spl99_33
| ~ spl99_71 ),
inference(resolution,[],[f2772,f327]) ).
fof(f327,plain,
! [X0] :
( ~ p103(sK54(X0))
| ~ p303(X0)
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( ~ p103(sK54(X0))
& r1(X0,sK54(X0)) )
| ~ p303(X0)
| ~ sP26(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f104,f105]) ).
fof(f105,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK54(X0))
& r1(X0,sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p303(X0)
| ~ sP26(X0) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X12] :
( ? [X28] :
( ~ p103(X28)
& r1(X12,X28) )
| ~ p303(X12)
| ~ sP26(X12) ),
inference(nnf_transformation,[],[f33]) ).
fof(f2772,plain,
( p103(sK54(sK92))
| ~ spl99_33
| ~ spl99_71 ),
inference(resolution,[],[f552,f982]) ).
fof(f982,plain,
( r1(sK92,sK54(sK92))
| ~ spl99_71 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f980,plain,
( spl99_71
<=> r1(sK92,sK54(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_71])]) ).
fof(f552,plain,
( ! [X8] :
( ~ r1(sK92,X8)
| p103(X8) )
| ~ spl99_33 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl99_33
<=> ! [X8] :
( p103(X8)
| ~ r1(sK92,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_33])]) ).
fof(f2709,plain,
( ~ spl99_1
| ~ spl99_24
| ~ spl99_40 ),
inference(avatar_contradiction_clause,[],[f2708]) ).
fof(f2708,plain,
( $false
| ~ spl99_1
| ~ spl99_24
| ~ spl99_40 ),
inference(subsumption_resolution,[],[f2707,f587]) ).
fof(f587,plain,
sP24(sK92),
inference(resolution,[],[f566,f263]) ).
fof(f263,plain,
! [X0] :
( ~ sP40(X0)
| sP24(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2707,plain,
( ~ sP24(sK92)
| ~ spl99_1
| ~ spl99_24
| ~ spl99_40 ),
inference(subsumption_resolution,[],[f2706,f423]) ).
fof(f423,plain,
( p505(sK92)
| ~ spl99_1 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl99_1
<=> p505(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_1])]) ).
fof(f2706,plain,
( ~ p505(sK92)
| ~ sP24(sK92)
| ~ spl99_24
| ~ spl99_40 ),
inference(resolution,[],[f2663,f331]) ).
fof(f331,plain,
! [X0] :
( ~ p205(sK56(X0))
| ~ sP24(X0)
| ~ p505(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ p505(X0)
| ( ~ p205(sK56(X0))
& r1(X0,sK56(X0)) )
| ~ sP24(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f112,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK56(X0))
& r1(X0,sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ~ p505(X0)
| ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ~ sP24(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X12] :
( ~ p505(X12)
| ? [X13] :
( ~ p205(X13)
& r1(X12,X13) )
| ~ sP24(X12) ),
inference(nnf_transformation,[],[f31]) ).
fof(f2663,plain,
( p205(sK56(sK92))
| ~ spl99_24
| ~ spl99_40 ),
inference(resolution,[],[f516,f708]) ).
fof(f708,plain,
( r1(sK92,sK56(sK92))
| ~ spl99_40 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl99_40
<=> r1(sK92,sK56(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_40])]) ).
fof(f516,plain,
( ! [X4] :
( ~ r1(sK92,X4)
| p205(X4) )
| ~ spl99_24 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl99_24
<=> ! [X4] :
( ~ r1(sK92,X4)
| p205(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_24])]) ).
fof(f2705,plain,
( ~ spl99_21
| ~ spl99_2 ),
inference(avatar_split_clause,[],[f628,f425,f503]) ).
fof(f503,plain,
( spl99_21
<=> p302(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_21])]) ).
fof(f425,plain,
( spl99_2
<=> p502(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_2])]) ).
fof(f628,plain,
( ~ p502(sK92)
| ~ p302(sK92) ),
inference(resolution,[],[f250,f566]) ).
fof(f250,plain,
! [X0] :
( ~ sP40(X0)
| ~ p502(X0)
| ~ p302(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2704,plain,
( ~ spl99_16
| ~ spl99_24
| ~ spl99_69 ),
inference(avatar_contradiction_clause,[],[f2703]) ).
fof(f2703,plain,
( $false
| ~ spl99_16
| ~ spl99_24
| ~ spl99_69 ),
inference(subsumption_resolution,[],[f2702,f595]) ).
fof(f595,plain,
sP30(sK92),
inference(resolution,[],[f566,f276]) ).
fof(f276,plain,
! [X0] :
( ~ sP40(X0)
| sP30(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2702,plain,
( ~ sP30(sK92)
| ~ spl99_16
| ~ spl99_24
| ~ spl99_69 ),
inference(subsumption_resolution,[],[f2701,f484]) ).
fof(f484,plain,
( p605(sK92)
| ~ spl99_16 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl99_16
<=> p605(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_16])]) ).
fof(f2701,plain,
( ~ p605(sK92)
| ~ sP30(sK92)
| ~ spl99_24
| ~ spl99_69 ),
inference(resolution,[],[f2657,f319]) ).
fof(f319,plain,
! [X0] :
( ~ p205(sK50(X0))
| ~ sP30(X0)
| ~ p605(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ p605(X0)
| ( ~ p205(sK50(X0))
& r1(X0,sK50(X0)) )
| ~ sP30(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f88,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK50(X0))
& r1(X0,sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ~ p605(X0)
| ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ~ sP30(X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X12] :
( ~ p605(X12)
| ? [X31] :
( ~ p205(X31)
& r1(X12,X31) )
| ~ sP30(X12) ),
inference(nnf_transformation,[],[f37]) ).
fof(f2657,plain,
( p205(sK50(sK92))
| ~ spl99_24
| ~ spl99_69 ),
inference(resolution,[],[f516,f932]) ).
fof(f932,plain,
( r1(sK92,sK50(sK92))
| ~ spl99_69 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f930,plain,
( spl99_69
<=> r1(sK92,sK50(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_69])]) ).
fof(f2647,plain,
( ~ spl99_11
| spl99_48
| ~ spl99_49 ),
inference(avatar_contradiction_clause,[],[f2646]) ).
fof(f2646,plain,
( $false
| ~ spl99_11
| spl99_48
| ~ spl99_49 ),
inference(subsumption_resolution,[],[f2645,f594]) ).
fof(f594,plain,
sP7(sK92),
inference(resolution,[],[f566,f275]) ).
fof(f275,plain,
! [X0] :
( ~ sP40(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2645,plain,
( ~ sP7(sK92)
| ~ spl99_11
| spl99_48
| ~ spl99_49 ),
inference(subsumption_resolution,[],[f2639,f782]) ).
fof(f782,plain,
( ~ r1(sK92,sK75(sK92))
| spl99_48 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f781,plain,
( spl99_48
<=> r1(sK92,sK75(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_48])]) ).
fof(f2639,plain,
( ~ sP7(sK92)
| r1(sK92,sK75(sK92))
| ~ spl99_11
| ~ spl99_49 ),
inference(resolution,[],[f2618,f371]) ).
fof(f371,plain,
! [X0] :
( ~ p104(sK76(X0))
| ~ sP7(X0)
| r1(X0,sK75(X0)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( r1(X0,sK75(X0))
& ~ p204(sK75(X0)) )
| ( ~ p104(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] :
( r1(X0,X1)
& ~ p204(X1) )
=> ( r1(X0,sK75(X0))
& ~ p204(sK75(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0] :
( ? [X2] :
( ~ p104(X2)
& r1(X0,X2) )
=> ( ~ p104(sK76(X0))
& r1(X0,sK76(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
| ? [X2] :
( ~ p104(X2)
& r1(X0,X2) )
| ~ sP7(X0) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X12] :
( ? [X45] :
( r1(X12,X45)
& ~ p204(X45) )
| ? [X44] :
( ~ p104(X44)
& r1(X12,X44) )
| ~ sP7(X12) ),
inference(nnf_transformation,[],[f14]) ).
fof(f2618,plain,
( p104(sK76(sK92))
| ~ spl99_11
| ~ spl99_49 ),
inference(resolution,[],[f463,f787]) ).
fof(f787,plain,
( r1(sK92,sK76(sK92))
| ~ spl99_49 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f785,plain,
( spl99_49
<=> r1(sK92,sK76(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_49])]) ).
fof(f463,plain,
( ! [X9] :
( ~ r1(sK92,X9)
| p104(X9) )
| ~ spl99_11 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl99_11
<=> ! [X9] :
( p104(X9)
| ~ r1(sK92,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_11])]) ).
fof(f2643,plain,
( ~ spl99_11
| ~ spl99_18
| ~ spl99_48
| ~ spl99_49 ),
inference(avatar_contradiction_clause,[],[f2642]) ).
fof(f2642,plain,
( $false
| ~ spl99_11
| ~ spl99_18
| ~ spl99_48
| ~ spl99_49 ),
inference(subsumption_resolution,[],[f2641,f594]) ).
fof(f2641,plain,
( ~ sP7(sK92)
| ~ spl99_11
| ~ spl99_18
| ~ spl99_48
| ~ spl99_49 ),
inference(subsumption_resolution,[],[f2640,f2555]) ).
fof(f2555,plain,
( p204(sK75(sK92))
| ~ spl99_18
| ~ spl99_48 ),
inference(resolution,[],[f492,f783]) ).
fof(f783,plain,
( r1(sK92,sK75(sK92))
| ~ spl99_48 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f492,plain,
( ! [X6] :
( ~ r1(sK92,X6)
| p204(X6) )
| ~ spl99_18 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl99_18
<=> ! [X6] :
( ~ r1(sK92,X6)
| p204(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_18])]) ).
fof(f2640,plain,
( ~ sP7(sK92)
| ~ p204(sK75(sK92))
| ~ spl99_11
| ~ spl99_49 ),
inference(resolution,[],[f2618,f369]) ).
fof(f369,plain,
! [X0] :
( ~ p104(sK76(X0))
| ~ p204(sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f2582,plain,
( ~ spl99_31
| ~ spl99_18
| ~ spl99_83 ),
inference(avatar_split_clause,[],[f2581,f1793,f491,f543]) ).
fof(f543,plain,
( spl99_31
<=> p404(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_31])]) ).
fof(f1793,plain,
( spl99_83
<=> r1(sK92,sK57(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_83])]) ).
fof(f2581,plain,
( ~ p404(sK92)
| ~ spl99_18
| ~ spl99_83 ),
inference(subsumption_resolution,[],[f2577,f586]) ).
fof(f586,plain,
sP23(sK92),
inference(resolution,[],[f566,f262]) ).
fof(f262,plain,
! [X0] :
( ~ sP40(X0)
| sP23(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2577,plain,
( ~ p404(sK92)
| ~ sP23(sK92)
| ~ spl99_18
| ~ spl99_83 ),
inference(resolution,[],[f2537,f332]) ).
fof(f332,plain,
! [X0] :
( ~ p204(sK57(X0))
| ~ sP23(X0)
| ~ p404(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( r1(X0,sK57(X0))
& ~ p204(sK57(X0)) )
| ~ p404(X0)
| ~ sP23(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f116,f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
=> ( r1(X0,sK57(X0))
& ~ p204(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
| ~ p404(X0)
| ~ sP23(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X12] :
( ? [X49] :
( r1(X12,X49)
& ~ p204(X49) )
| ~ p404(X12)
| ~ sP23(X12) ),
inference(nnf_transformation,[],[f30]) ).
fof(f2537,plain,
( p204(sK57(sK92))
| ~ spl99_18
| ~ spl99_83 ),
inference(resolution,[],[f492,f1795]) ).
fof(f1795,plain,
( r1(sK92,sK57(sK92))
| ~ spl99_83 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f2519,plain,
( ~ spl99_29
| ~ spl99_33
| ~ spl99_43 ),
inference(avatar_contradiction_clause,[],[f2518]) ).
fof(f2518,plain,
( $false
| ~ spl99_29
| ~ spl99_33
| ~ spl99_43 ),
inference(subsumption_resolution,[],[f2517,f537]) ).
fof(f537,plain,
( p403(sK92)
| ~ spl99_29 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl99_29
<=> p403(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_29])]) ).
fof(f2517,plain,
( ~ p403(sK92)
| ~ spl99_33
| ~ spl99_43 ),
inference(subsumption_resolution,[],[f2516,f601]) ).
fof(f601,plain,
sP35(sK92),
inference(resolution,[],[f566,f287]) ).
fof(f287,plain,
! [X0] :
( ~ sP40(X0)
| sP35(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2516,plain,
( ~ sP35(sK92)
| ~ p403(sK92)
| ~ spl99_33
| ~ spl99_43 ),
inference(resolution,[],[f2450,f308]) ).
fof(f308,plain,
! [X0] :
( ~ p103(sK45(X0))
| ~ sP35(X0)
| ~ p403(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( r1(X0,sK45(X0))
& ~ p103(sK45(X0)) )
| ~ p403(X0)
| ~ sP35(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f68,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
=> ( r1(X0,sK45(X0))
& ~ p103(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
| ~ p403(X0)
| ~ sP35(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X12] :
( ? [X38] :
( r1(X12,X38)
& ~ p103(X38) )
| ~ p403(X12)
| ~ sP35(X12) ),
inference(nnf_transformation,[],[f42]) ).
fof(f2450,plain,
( p103(sK45(sK92))
| ~ spl99_33
| ~ spl99_43 ),
inference(resolution,[],[f552,f725]) ).
fof(f725,plain,
( r1(sK92,sK45(sK92))
| ~ spl99_43 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f723,plain,
( spl99_43
<=> r1(sK92,sK45(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_43])]) ).
fof(f2511,plain,
( spl99_62
| ~ spl99_22
| ~ spl99_63 ),
inference(avatar_split_clause,[],[f2507,f881,f507,f877]) ).
fof(f877,plain,
( spl99_62
<=> r1(sK92,sK89(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_62])]) ).
fof(f507,plain,
( spl99_22
<=> ! [X12] :
( p305(X12)
| ~ r1(sK92,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_22])]) ).
fof(f881,plain,
( spl99_63
<=> r1(sK92,sK90(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_63])]) ).
fof(f2507,plain,
( r1(sK92,sK89(sK92))
| ~ spl99_22
| ~ spl99_63 ),
inference(subsumption_resolution,[],[f2326,f570]) ).
fof(f570,plain,
sP0(sK92),
inference(resolution,[],[f566,f232]) ).
fof(f232,plain,
! [X0] :
( ~ sP40(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2326,plain,
( ~ sP0(sK92)
| r1(sK92,sK89(sK92))
| ~ spl99_22
| ~ spl99_63 ),
inference(resolution,[],[f2227,f397]) ).
fof(f397,plain,
! [X0] :
( ~ p305(sK90(X0))
| r1(X0,sK89(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ( ~ p205(sK89(X0))
& r1(X0,sK89(X0)) )
| ( ~ p305(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] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK89(X0))
& r1(X0,sK89(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0] :
( ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
=> ( ~ p305(sK90(X0))
& r1(X0,sK90(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
| ~ sP0(X0) ),
inference(rectify,[],[f216]) ).
fof(f216,plain,
! [X12] :
( ? [X50] :
( ~ p205(X50)
& r1(X12,X50) )
| ? [X51] :
( ~ p305(X51)
& r1(X12,X51) )
| ~ sP0(X12) ),
inference(nnf_transformation,[],[f7]) ).
fof(f2227,plain,
( p305(sK90(sK92))
| ~ spl99_22
| ~ spl99_63 ),
inference(resolution,[],[f508,f883]) ).
fof(f883,plain,
( r1(sK92,sK90(sK92))
| ~ spl99_63 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f508,plain,
( ! [X12] :
( ~ r1(sK92,X12)
| p305(X12) )
| ~ spl99_22 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f2510,plain,
( ~ spl99_36
| ~ spl99_28 ),
inference(avatar_split_clause,[],[f635,f531,f562]) ).
fof(f562,plain,
( spl99_36
<=> p201(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_36])]) ).
fof(f531,plain,
( spl99_28
<=> p401(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_28])]) ).
fof(f635,plain,
( ~ p401(sK92)
| ~ p201(sK92) ),
inference(resolution,[],[f261,f566]) ).
fof(f261,plain,
! [X0] :
( ~ sP40(X0)
| ~ p201(X0)
| ~ p401(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2506,plain,
( ~ spl99_22
| ~ spl99_24
| ~ spl99_62
| ~ spl99_63 ),
inference(avatar_contradiction_clause,[],[f2505]) ).
fof(f2505,plain,
( $false
| ~ spl99_22
| ~ spl99_24
| ~ spl99_62
| ~ spl99_63 ),
inference(subsumption_resolution,[],[f2504,f570]) ).
fof(f2504,plain,
( ~ sP0(sK92)
| ~ spl99_22
| ~ spl99_24
| ~ spl99_62
| ~ spl99_63 ),
inference(subsumption_resolution,[],[f2503,f2227]) ).
fof(f2503,plain,
( ~ p305(sK90(sK92))
| ~ sP0(sK92)
| ~ spl99_24
| ~ spl99_62 ),
inference(resolution,[],[f2444,f399]) ).
fof(f399,plain,
! [X0] :
( ~ p205(sK89(X0))
| ~ sP0(X0)
| ~ p305(sK90(X0)) ),
inference(cnf_transformation,[],[f220]) ).
fof(f2444,plain,
( p205(sK89(sK92))
| ~ spl99_24
| ~ spl99_62 ),
inference(resolution,[],[f516,f879]) ).
fof(f879,plain,
( r1(sK92,sK89(sK92))
| ~ spl99_62 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f2397,plain,
( ~ spl99_15
| ~ spl99_18
| ~ spl99_68 ),
inference(avatar_contradiction_clause,[],[f2396]) ).
fof(f2396,plain,
( $false
| ~ spl99_15
| ~ spl99_18
| ~ spl99_68 ),
inference(subsumption_resolution,[],[f2395,f480]) ).
fof(f480,plain,
( p604(sK92)
| ~ spl99_15 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl99_15
<=> p604(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_15])]) ).
fof(f2395,plain,
( ~ p604(sK92)
| ~ spl99_18
| ~ spl99_68 ),
inference(subsumption_resolution,[],[f2394,f605]) ).
fof(f605,plain,
sP39(sK92),
inference(resolution,[],[f566,f298]) ).
fof(f298,plain,
! [X0] :
( ~ sP40(X0)
| sP39(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2394,plain,
( ~ sP39(sK92)
| ~ p604(sK92)
| ~ spl99_18
| ~ spl99_68 ),
inference(resolution,[],[f2348,f300]) ).
fof(f300,plain,
! [X0] :
( ~ p204(sK41(X0))
| ~ sP39(X0)
| ~ p604(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( r1(X0,sK41(X0))
& ~ p204(sK41(X0)) )
| ~ p604(X0)
| ~ sP39(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f52,f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
=> ( r1(X0,sK41(X0))
& ~ p204(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
| ~ p604(X0)
| ~ sP39(X0) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X12] :
( ? [X25] :
( r1(X12,X25)
& ~ p204(X25) )
| ~ p604(X12)
| ~ sP39(X12) ),
inference(nnf_transformation,[],[f46]) ).
fof(f2348,plain,
( p204(sK41(sK92))
| ~ spl99_18
| ~ spl99_68 ),
inference(resolution,[],[f492,f924]) ).
fof(f924,plain,
( r1(sK92,sK41(sK92))
| ~ spl99_68 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f922,plain,
( spl99_68
<=> r1(sK92,sK41(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_68])]) ).
fof(f2347,plain,
( ~ spl99_27
| ~ spl99_28 ),
inference(avatar_split_clause,[],[f2346,f531,f526]) ).
fof(f526,plain,
( spl99_27
<=> p101(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_27])]) ).
fof(f2346,plain,
( ~ p101(sK92)
| ~ spl99_28 ),
inference(subsumption_resolution,[],[f644,f533]) ).
fof(f533,plain,
( p401(sK92)
| ~ spl99_28 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f644,plain,
( ~ p401(sK92)
| ~ p101(sK92) ),
inference(resolution,[],[f273,f566]) ).
fof(f273,plain,
! [X0] :
( ~ sP40(X0)
| ~ p101(X0)
| ~ p401(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2343,plain,
( ~ spl99_1
| ~ spl99_22
| ~ spl99_85 ),
inference(avatar_contradiction_clause,[],[f2342]) ).
fof(f2342,plain,
( $false
| ~ spl99_1
| ~ spl99_22
| ~ spl99_85 ),
inference(subsumption_resolution,[],[f2341,f569]) ).
fof(f569,plain,
sP12(sK92),
inference(resolution,[],[f566,f230]) ).
fof(f230,plain,
! [X0] :
( ~ sP40(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2341,plain,
( ~ sP12(sK92)
| ~ spl99_1
| ~ spl99_22
| ~ spl99_85 ),
inference(subsumption_resolution,[],[f2340,f423]) ).
fof(f2340,plain,
( ~ p505(sK92)
| ~ sP12(sK92)
| ~ spl99_22
| ~ spl99_85 ),
inference(resolution,[],[f2336,f354]) ).
fof(f354,plain,
! [X0] :
( ~ p305(sK68(X0))
| ~ sP12(X0)
| ~ p505(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ~ p505(X0)
| ( r1(X0,sK68(X0))
& ~ p305(sK68(X0)) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f160,f161]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p305(X1) )
=> ( r1(X0,sK68(X0))
& ~ p305(sK68(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ~ p505(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p305(X1) )
| ~ sP12(X0) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X12] :
( ~ p505(X12)
| ? [X18] :
( r1(X12,X18)
& ~ p305(X18) )
| ~ sP12(X12) ),
inference(nnf_transformation,[],[f19]) ).
fof(f2336,plain,
( p305(sK68(sK92))
| ~ spl99_22
| ~ spl99_85 ),
inference(resolution,[],[f2048,f508]) ).
fof(f2048,plain,
( r1(sK92,sK68(sK92))
| ~ spl99_85 ),
inference(avatar_component_clause,[],[f2046]) ).
fof(f2046,plain,
( spl99_85
<=> r1(sK92,sK68(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_85])]) ).
fof(f2334,plain,
( ~ spl99_3
| ~ spl99_15 ),
inference(avatar_split_clause,[],[f2333,f478,f429]) ).
fof(f429,plain,
( spl99_3
<=> p504(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_3])]) ).
fof(f2333,plain,
( ~ p504(sK92)
| ~ spl99_15 ),
inference(subsumption_resolution,[],[f655,f480]) ).
fof(f655,plain,
( ~ p504(sK92)
| ~ p604(sK92) ),
inference(resolution,[],[f291,f566]) ).
fof(f291,plain,
! [X0] :
( ~ sP40(X0)
| ~ p504(X0)
| ~ p604(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2332,plain,
( ~ spl99_3
| ~ spl99_11
| ~ spl99_76 ),
inference(avatar_contradiction_clause,[],[f2331]) ).
fof(f2331,plain,
( $false
| ~ spl99_3
| ~ spl99_11
| ~ spl99_76 ),
inference(subsumption_resolution,[],[f2330,f431]) ).
fof(f431,plain,
( p504(sK92)
| ~ spl99_3 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f2330,plain,
( ~ p504(sK92)
| ~ spl99_11
| ~ spl99_76 ),
inference(subsumption_resolution,[],[f2329,f567]) ).
fof(f567,plain,
sP10(sK92),
inference(resolution,[],[f566,f228]) ).
fof(f228,plain,
! [X0] :
( ~ sP40(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2329,plain,
( ~ sP10(sK92)
| ~ p504(sK92)
| ~ spl99_11
| ~ spl99_76 ),
inference(resolution,[],[f2259,f358]) ).
fof(f358,plain,
! [X0] :
( ~ p104(sK70(X0))
| ~ p504(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ p504(X0)
| ( r1(X0,sK70(X0))
& ~ p104(sK70(X0)) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f168,f169]) ).
fof(f169,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
=> ( r1(X0,sK70(X0))
& ~ p104(sK70(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0] :
( ~ p504(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X12] :
( ~ p504(X12)
| ? [X58] :
( r1(X12,X58)
& ~ p104(X58) )
| ~ sP10(X12) ),
inference(nnf_transformation,[],[f17]) ).
fof(f2259,plain,
( p104(sK70(sK92))
| ~ spl99_11
| ~ spl99_76 ),
inference(resolution,[],[f463,f1263]) ).
fof(f1263,plain,
( r1(sK92,sK70(sK92))
| ~ spl99_76 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1261,plain,
( spl99_76
<=> r1(sK92,sK70(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_76])]) ).
fof(f2231,plain,
( spl99_54
| ~ spl99_26
| ~ spl99_55 ),
inference(avatar_split_clause,[],[f2230,f829,f523,f825]) ).
fof(f825,plain,
( spl99_54
<=> r1(sK92,sK82(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_54])]) ).
fof(f523,plain,
( spl99_26
<=> ! [X7] :
( ~ r1(sK92,X7)
| p105(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_26])]) ).
fof(f829,plain,
( spl99_55
<=> r1(sK92,sK81(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_55])]) ).
fof(f2230,plain,
( r1(sK92,sK82(sK92))
| ~ spl99_26
| ~ spl99_55 ),
inference(subsumption_resolution,[],[f2030,f580]) ).
fof(f580,plain,
sP4(sK92),
inference(resolution,[],[f566,f251]) ).
fof(f251,plain,
! [X0] :
( ~ sP40(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2030,plain,
( r1(sK92,sK82(sK92))
| ~ sP4(sK92)
| ~ spl99_26
| ~ spl99_55 ),
inference(resolution,[],[f2004,f381]) ).
fof(f381,plain,
! [X0] :
( ~ p105(sK81(X0))
| ~ sP4(X0)
| r1(X0,sK82(X0)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( r1(X0,sK81(X0))
& ~ p105(sK81(X0)) )
| ( r1(X0,sK82(X0))
& ~ p305(sK82(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f197,f199,f198]) ).
fof(f198,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p105(X1) )
=> ( r1(X0,sK81(X0))
& ~ p105(sK81(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p305(X2) )
=> ( r1(X0,sK82(X0))
& ~ p305(sK82(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p105(X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p305(X2) )
| ~ sP4(X0) ),
inference(rectify,[],[f196]) ).
fof(f196,plain,
! [X12] :
( ? [X42] :
( r1(X12,X42)
& ~ p105(X42) )
| ? [X41] :
( r1(X12,X41)
& ~ p305(X41) )
| ~ sP4(X12) ),
inference(nnf_transformation,[],[f11]) ).
fof(f2004,plain,
( p105(sK81(sK92))
| ~ spl99_26
| ~ spl99_55 ),
inference(resolution,[],[f524,f831]) ).
fof(f831,plain,
( r1(sK92,sK81(sK92))
| ~ spl99_55 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f524,plain,
( ! [X7] :
( ~ r1(sK92,X7)
| p105(X7) )
| ~ spl99_26 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f2229,plain,
( ~ spl99_22
| ~ spl99_26
| ~ spl99_54
| ~ spl99_55 ),
inference(avatar_contradiction_clause,[],[f2228]) ).
fof(f2228,plain,
( $false
| ~ spl99_22
| ~ spl99_26
| ~ spl99_54
| ~ spl99_55 ),
inference(subsumption_resolution,[],[f2220,f2032]) ).
fof(f2032,plain,
( ~ p305(sK82(sK92))
| ~ spl99_26
| ~ spl99_55 ),
inference(subsumption_resolution,[],[f2031,f580]) ).
fof(f2031,plain,
( ~ p305(sK82(sK92))
| ~ sP4(sK92)
| ~ spl99_26
| ~ spl99_55 ),
inference(resolution,[],[f2004,f380]) ).
fof(f380,plain,
! [X0] :
( ~ p105(sK81(X0))
| ~ p305(sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f2220,plain,
( p305(sK82(sK92))
| ~ spl99_22
| ~ spl99_54 ),
inference(resolution,[],[f508,f827]) ).
fof(f827,plain,
( r1(sK92,sK82(sK92))
| ~ spl99_54 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f2181,plain,
( ~ spl99_36
| ~ spl99_12 ),
inference(avatar_split_clause,[],[f645,f466,f562]) ).
fof(f466,plain,
( spl99_12
<=> p601(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_12])]) ).
fof(f645,plain,
( ~ p601(sK92)
| ~ p201(sK92) ),
inference(resolution,[],[f274,f566]) ).
fof(f274,plain,
! [X0] :
( ~ sP40(X0)
| ~ p601(X0)
| ~ p201(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2180,plain,
( ~ spl99_20
| ~ spl99_36 ),
inference(avatar_split_clause,[],[f647,f562,f499]) ).
fof(f499,plain,
( spl99_20
<=> p301(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_20])]) ).
fof(f647,plain,
( ~ p201(sK92)
| ~ p301(sK92) ),
inference(resolution,[],[f281,f566]) ).
fof(f281,plain,
! [X0] :
( ~ sP40(X0)
| ~ p201(X0)
| ~ p301(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2176,plain,
( ~ spl99_21
| ~ spl99_30 ),
inference(avatar_split_clause,[],[f2175,f539,f503]) ).
fof(f539,plain,
( spl99_30
<=> p402(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_30])]) ).
fof(f2175,plain,
( ~ p302(sK92)
| ~ spl99_30 ),
inference(subsumption_resolution,[],[f632,f541]) ).
fof(f541,plain,
( p402(sK92)
| ~ spl99_30 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f632,plain,
( ~ p302(sK92)
| ~ p402(sK92) ),
inference(resolution,[],[f258,f566]) ).
fof(f258,plain,
! [X0] :
( ~ sP40(X0)
| ~ p302(X0)
| ~ p402(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2174,plain,
( ~ spl99_29
| ~ spl99_14 ),
inference(avatar_split_clause,[],[f2173,f474,f535]) ).
fof(f474,plain,
( spl99_14
<=> p603(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_14])]) ).
fof(f2173,plain,
( ~ p403(sK92)
| ~ spl99_14 ),
inference(subsumption_resolution,[],[f613,f476]) ).
fof(f476,plain,
( p603(sK92)
| ~ spl99_14 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f613,plain,
( ~ p603(sK92)
| ~ p403(sK92) ),
inference(resolution,[],[f231,f566]) ).
fof(f231,plain,
! [X0] :
( ~ sP40(X0)
| ~ p403(X0)
| ~ p603(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2160,plain,
( ~ spl99_3
| ~ spl99_18
| ~ spl99_41 ),
inference(avatar_contradiction_clause,[],[f2159]) ).
fof(f2159,plain,
( $false
| ~ spl99_3
| ~ spl99_18
| ~ spl99_41 ),
inference(subsumption_resolution,[],[f2158,f603]) ).
fof(f603,plain,
sP37(sK92),
inference(resolution,[],[f566,f296]) ).
fof(f296,plain,
! [X0] :
( ~ sP40(X0)
| sP37(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2158,plain,
( ~ sP37(sK92)
| ~ spl99_3
| ~ spl99_18
| ~ spl99_41 ),
inference(subsumption_resolution,[],[f2157,f431]) ).
fof(f2157,plain,
( ~ p504(sK92)
| ~ sP37(sK92)
| ~ spl99_18
| ~ spl99_41 ),
inference(resolution,[],[f2111,f305]) ).
fof(f305,plain,
! [X0] :
( ~ p204(sK43(X0))
| ~ sP37(X0)
| ~ p504(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ~ p204(sK43(X0))
& r1(X0,sK43(X0)) )
| ~ p504(X0)
| ~ sP37(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f60,f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK43(X0))
& r1(X0,sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ p504(X0)
| ~ sP37(X0) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X12] :
( ? [X20] :
( ~ p204(X20)
& r1(X12,X20) )
| ~ p504(X12)
| ~ sP37(X12) ),
inference(nnf_transformation,[],[f44]) ).
fof(f2111,plain,
( p204(sK43(sK92))
| ~ spl99_18
| ~ spl99_41 ),
inference(resolution,[],[f492,f713]) ).
fof(f713,plain,
( r1(sK92,sK43(sK92))
| ~ spl99_41 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f711,plain,
( spl99_41
<=> r1(sK92,sK43(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_41])]) ).
fof(f2108,plain,
( ~ spl99_24
| spl99_58
| ~ spl99_59 ),
inference(avatar_contradiction_clause,[],[f2107]) ).
fof(f2107,plain,
( $false
| ~ spl99_24
| spl99_58
| ~ spl99_59 ),
inference(subsumption_resolution,[],[f2106,f575]) ).
fof(f575,plain,
sP2(sK92),
inference(resolution,[],[f566,f244]) ).
fof(f244,plain,
! [X0] :
( ~ sP40(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2106,plain,
( ~ sP2(sK92)
| ~ spl99_24
| spl99_58
| ~ spl99_59 ),
inference(subsumption_resolution,[],[f2105,f858]) ).
fof(f858,plain,
( ~ r1(sK92,sK86(sK92))
| spl99_58 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f857,plain,
( spl99_58
<=> r1(sK92,sK86(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_58])]) ).
fof(f2105,plain,
( r1(sK92,sK86(sK92))
| ~ sP2(sK92)
| ~ spl99_24
| ~ spl99_59 ),
inference(resolution,[],[f2088,f390]) ).
fof(f390,plain,
! [X0] :
( ~ p205(sK85(X0))
| ~ sP2(X0)
| r1(X0,sK86(X0)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ( ~ p205(sK85(X0))
& r1(X0,sK85(X0)) )
| ( ~ p105(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] :
( ~ p105(X2)
& r1(X0,X2) )
=> ( ~ p105(sK86(X0))
& r1(X0,sK86(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p105(X2)
& r1(X0,X2) )
| ~ sP2(X0) ),
inference(rectify,[],[f206]) ).
fof(f206,plain,
! [X12] :
( ? [X53] :
( ~ p205(X53)
& r1(X12,X53) )
| ? [X52] :
( ~ p105(X52)
& r1(X12,X52) )
| ~ sP2(X12) ),
inference(nnf_transformation,[],[f9]) ).
fof(f2088,plain,
( p205(sK85(sK92))
| ~ spl99_24
| ~ spl99_59 ),
inference(resolution,[],[f516,f863]) ).
fof(f863,plain,
( r1(sK92,sK85(sK92))
| ~ spl99_59 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f861,plain,
( spl99_59
<=> r1(sK92,sK85(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_59])]) ).
fof(f2095,plain,
( ~ spl99_24
| ~ spl99_26
| ~ spl99_58
| ~ spl99_59 ),
inference(avatar_contradiction_clause,[],[f2094]) ).
fof(f2094,plain,
( $false
| ~ spl99_24
| ~ spl99_26
| ~ spl99_58
| ~ spl99_59 ),
inference(subsumption_resolution,[],[f2088,f2035]) ).
fof(f2035,plain,
( ~ p205(sK85(sK92))
| ~ spl99_26
| ~ spl99_58 ),
inference(subsumption_resolution,[],[f2034,f575]) ).
fof(f2034,plain,
( ~ p205(sK85(sK92))
| ~ sP2(sK92)
| ~ spl99_26
| ~ spl99_58 ),
inference(resolution,[],[f2008,f391]) ).
fof(f391,plain,
! [X0] :
( ~ p105(sK86(X0))
| ~ p205(sK85(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f2008,plain,
( p105(sK86(sK92))
| ~ spl99_26
| ~ spl99_58 ),
inference(resolution,[],[f524,f859]) ).
fof(f859,plain,
( r1(sK92,sK86(sK92))
| ~ spl99_58 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f2049,plain,
( ~ spl99_1
| spl99_85 ),
inference(avatar_split_clause,[],[f748,f2046,f421]) ).
fof(f748,plain,
( r1(sK92,sK68(sK92))
| ~ p505(sK92) ),
inference(resolution,[],[f355,f569]) ).
fof(f355,plain,
! [X0] :
( ~ sP12(X0)
| ~ p505(X0)
| r1(X0,sK68(X0)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f2044,plain,
( ~ spl99_21
| ~ spl99_13 ),
inference(avatar_split_clause,[],[f2043,f470,f503]) ).
fof(f470,plain,
( spl99_13
<=> p602(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_13])]) ).
fof(f2043,plain,
( ~ p302(sK92)
| ~ spl99_13 ),
inference(subsumption_resolution,[],[f624,f472]) ).
fof(f472,plain,
( p602(sK92)
| ~ spl99_13 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f624,plain,
( ~ p602(sK92)
| ~ p302(sK92) ),
inference(resolution,[],[f240,f566]) ).
fof(f240,plain,
! [X0] :
( ~ sP40(X0)
| ~ p302(X0)
| ~ p602(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2042,plain,
( ~ spl99_1
| ~ spl99_26
| ~ spl99_75 ),
inference(avatar_contradiction_clause,[],[f2041]) ).
fof(f2041,plain,
( $false
| ~ spl99_1
| ~ spl99_26
| ~ spl99_75 ),
inference(subsumption_resolution,[],[f2040,f423]) ).
fof(f2040,plain,
( ~ p505(sK92)
| ~ spl99_26
| ~ spl99_75 ),
inference(subsumption_resolution,[],[f2039,f572]) ).
fof(f572,plain,
sP14(sK92),
inference(resolution,[],[f566,f238]) ).
fof(f238,plain,
! [X0] :
( ~ sP40(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2039,plain,
( ~ sP14(sK92)
| ~ p505(sK92)
| ~ spl99_26
| ~ spl99_75 ),
inference(resolution,[],[f2024,f351]) ).
fof(f351,plain,
! [X0] :
( ~ p105(sK66(X0))
| ~ p505(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ~ p505(X0)
| ( ~ p105(sK66(X0))
& r1(X0,sK66(X0)) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f152,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK66(X0))
& r1(X0,sK66(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ~ p505(X0)
| ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ~ sP14(X0) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X12] :
( ~ p505(X12)
| ? [X16] :
( ~ p105(X16)
& r1(X12,X16) )
| ~ sP14(X12) ),
inference(nnf_transformation,[],[f21]) ).
fof(f2024,plain,
( p105(sK66(sK92))
| ~ spl99_26
| ~ spl99_75 ),
inference(resolution,[],[f1244,f524]) ).
fof(f1244,plain,
( r1(sK92,sK66(sK92))
| ~ spl99_75 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1242,plain,
( spl99_75
<=> r1(sK92,sK66(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_75])]) ).
fof(f2022,plain,
( ~ spl99_16
| ~ spl99_26
| ~ spl99_70 ),
inference(avatar_contradiction_clause,[],[f2021]) ).
fof(f2021,plain,
( $false
| ~ spl99_16
| ~ spl99_26
| ~ spl99_70 ),
inference(subsumption_resolution,[],[f2020,f576]) ).
fof(f576,plain,
sP16(sK92),
inference(resolution,[],[f566,f246]) ).
fof(f246,plain,
! [X0] :
( ~ sP40(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2020,plain,
( ~ sP16(sK92)
| ~ spl99_16
| ~ spl99_26
| ~ spl99_70 ),
inference(subsumption_resolution,[],[f2019,f484]) ).
fof(f2019,plain,
( ~ p605(sK92)
| ~ sP16(sK92)
| ~ spl99_26
| ~ spl99_70 ),
inference(resolution,[],[f1992,f347]) ).
fof(f347,plain,
! [X0] :
( ~ p105(sK64(X0))
| ~ sP16(X0)
| ~ p605(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] :
( ? [X36] :
( ~ p105(X36)
& r1(X12,X36) )
| ~ p605(X12)
| ~ sP16(X12) ),
inference(nnf_transformation,[],[f23]) ).
fof(f1992,plain,
( p105(sK64(sK92))
| ~ spl99_26
| ~ spl99_70 ),
inference(resolution,[],[f524,f937]) ).
fof(f937,plain,
( r1(sK92,sK64(sK92))
| ~ spl99_70 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f935,plain,
( spl99_70
<=> r1(sK92,sK64(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_70])]) ).
fof(f1970,plain,
( ~ spl99_31
| ~ spl99_6
| ~ spl99_82 ),
inference(avatar_split_clause,[],[f1969,f1788,f442,f543]) ).
fof(f442,plain,
( spl99_6
<=> ! [X11] :
( ~ r1(sK92,X11)
| p304(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_6])]) ).
fof(f1788,plain,
( spl99_82
<=> r1(sK92,sK62(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_82])]) ).
fof(f1969,plain,
( ~ p404(sK92)
| ~ spl99_6
| ~ spl99_82 ),
inference(subsumption_resolution,[],[f1965,f579]) ).
fof(f579,plain,
sP18(sK92),
inference(resolution,[],[f566,f249]) ).
fof(f249,plain,
! [X0] :
( ~ sP40(X0)
| sP18(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1965,plain,
( ~ p404(sK92)
| ~ sP18(sK92)
| ~ spl99_6
| ~ spl99_82 ),
inference(resolution,[],[f1941,f342]) ).
fof(f342,plain,
! [X0] :
( ~ p304(sK62(X0))
| ~ p404(X0)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ~ p404(X0)
| ( r1(X0,sK62(X0))
& ~ p304(sK62(X0)) )
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f136,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
=> ( r1(X0,sK62(X0))
& ~ p304(sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ~ p404(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
| ~ sP18(X0) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X12] :
( ~ p404(X12)
| ? [X17] :
( r1(X12,X17)
& ~ p304(X17) )
| ~ sP18(X12) ),
inference(nnf_transformation,[],[f25]) ).
fof(f1941,plain,
( p304(sK62(sK92))
| ~ spl99_6
| ~ spl99_82 ),
inference(resolution,[],[f443,f1790]) ).
fof(f1790,plain,
( r1(sK92,sK62(sK92))
| ~ spl99_82 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f443,plain,
( ! [X11] :
( ~ r1(sK92,X11)
| p304(X11) )
| ~ spl99_6 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f1968,plain,
( ~ spl99_6
| ~ spl99_31
| ~ spl99_82 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1967,plain,
( $false
| ~ spl99_6
| ~ spl99_31
| ~ spl99_82 ),
inference(subsumption_resolution,[],[f1966,f579]) ).
fof(f1966,plain,
( ~ sP18(sK92)
| ~ spl99_6
| ~ spl99_31
| ~ spl99_82 ),
inference(subsumption_resolution,[],[f1965,f545]) ).
fof(f545,plain,
( p404(sK92)
| ~ spl99_31 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f1921,plain,
( ~ spl99_9
| ~ spl99_21
| ~ spl99_80 ),
inference(avatar_contradiction_clause,[],[f1920]) ).
fof(f1920,plain,
( $false
| ~ spl99_9
| ~ spl99_21
| ~ spl99_80 ),
inference(subsumption_resolution,[],[f1919,f604]) ).
fof(f604,plain,
sP38(sK92),
inference(resolution,[],[f566,f297]) ).
fof(f297,plain,
! [X0] :
( ~ sP40(X0)
| sP38(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1919,plain,
( ~ sP38(sK92)
| ~ spl99_9
| ~ spl99_21
| ~ spl99_80 ),
inference(subsumption_resolution,[],[f1918,f505]) ).
fof(f505,plain,
( p302(sK92)
| ~ spl99_21 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f1918,plain,
( ~ p302(sK92)
| ~ sP38(sK92)
| ~ spl99_9
| ~ spl99_80 ),
inference(resolution,[],[f1913,f303]) ).
fof(f303,plain,
! [X0] :
( ~ p102(sK42(X0))
| ~ sP38(X0)
| ~ p302(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] :
( ? [X32] :
( ~ p102(X32)
& r1(X12,X32) )
| ~ p302(X12)
| ~ sP38(X12) ),
inference(nnf_transformation,[],[f45]) ).
fof(f1913,plain,
( p102(sK42(sK92))
| ~ spl99_9
| ~ spl99_80 ),
inference(resolution,[],[f1620,f455]) ).
fof(f455,plain,
( ! [X10] :
( ~ r1(sK92,X10)
| p102(X10) )
| ~ spl99_9 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl99_9
<=> ! [X10] :
( ~ r1(sK92,X10)
| p102(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_9])]) ).
fof(f1620,plain,
( r1(sK92,sK42(sK92))
| ~ spl99_80 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1618,plain,
( spl99_80
<=> r1(sK92,sK42(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_80])]) ).
fof(f1870,plain,
( ~ spl99_4
| ~ spl99_20 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f1869,plain,
( $false
| ~ spl99_4
| ~ spl99_20 ),
inference(subsumption_resolution,[],[f1868,f435]) ).
fof(f435,plain,
( p501(sK92)
| ~ spl99_4 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl99_4
<=> p501(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_4])]) ).
fof(f1868,plain,
( ~ p501(sK92)
| ~ spl99_20 ),
inference(subsumption_resolution,[],[f642,f501]) ).
fof(f501,plain,
( p301(sK92)
| ~ spl99_20 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f642,plain,
( ~ p501(sK92)
| ~ p301(sK92) ),
inference(resolution,[],[f266,f566]) ).
fof(f266,plain,
! [X0] :
( ~ sP40(X0)
| ~ p501(X0)
| ~ p301(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1867,plain,
( ~ spl99_2
| ~ spl99_30 ),
inference(avatar_split_clause,[],[f656,f539,f425]) ).
fof(f656,plain,
( ~ p402(sK92)
| ~ p502(sK92) ),
inference(resolution,[],[f292,f566]) ).
fof(f292,plain,
! [X0] :
( ~ sP40(X0)
| ~ p402(X0)
| ~ p502(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1866,plain,
( ~ spl99_28
| ~ spl99_4 ),
inference(avatar_split_clause,[],[f1865,f433,f531]) ).
fof(f1865,plain,
( ~ p401(sK92)
| ~ spl99_4 ),
inference(subsumption_resolution,[],[f659,f435]) ).
fof(f659,plain,
( ~ p501(sK92)
| ~ p401(sK92) ),
inference(resolution,[],[f293,f566]) ).
fof(f293,plain,
! [X0] :
( ~ sP40(X0)
| ~ p401(X0)
| ~ p501(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1859,plain,
( ~ spl99_16
| ~ spl99_22
| ~ spl99_67 ),
inference(avatar_contradiction_clause,[],[f1858]) ).
fof(f1858,plain,
( $false
| ~ spl99_16
| ~ spl99_22
| ~ spl99_67 ),
inference(subsumption_resolution,[],[f1857,f484]) ).
fof(f1857,plain,
( ~ p605(sK92)
| ~ spl99_22
| ~ spl99_67 ),
inference(subsumption_resolution,[],[f1856,f582]) ).
fof(f582,plain,
sP20(sK92),
inference(resolution,[],[f566,f253]) ).
fof(f253,plain,
! [X0] :
( ~ sP40(X0)
| sP20(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1856,plain,
( ~ sP20(sK92)
| ~ p605(sK92)
| ~ spl99_22
| ~ spl99_67 ),
inference(resolution,[],[f1825,f339]) ).
fof(f339,plain,
! [X0] :
( ~ p305(sK60(X0))
| ~ p605(X0)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ p605(X0)
| ( ~ p305(sK60(X0))
& r1(X0,sK60(X0)) )
| ~ sP20(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f128,f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK60(X0))
& r1(X0,sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ~ p605(X0)
| ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ~ sP20(X0) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X12] :
( ~ p605(X12)
| ? [X55] :
( ~ p305(X55)
& r1(X12,X55) )
| ~ sP20(X12) ),
inference(nnf_transformation,[],[f27]) ).
fof(f1825,plain,
( p305(sK60(sK92))
| ~ spl99_22
| ~ spl99_67 ),
inference(resolution,[],[f508,f919]) ).
fof(f919,plain,
( r1(sK92,sK60(sK92))
| ~ spl99_67 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f917,plain,
( spl99_67
<=> r1(sK92,sK60(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_67])]) ).
fof(f1809,plain,
( ~ spl99_20
| ~ spl99_28 ),
inference(avatar_split_clause,[],[f1808,f531,f499]) ).
fof(f1808,plain,
( ~ p301(sK92)
| ~ spl99_28 ),
inference(subsumption_resolution,[],[f629,f533]) ).
fof(f629,plain,
( ~ p301(sK92)
| ~ p401(sK92) ),
inference(resolution,[],[f255,f566]) ).
fof(f255,plain,
! [X0] :
( ~ sP40(X0)
| ~ p401(X0)
| ~ p301(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1805,plain,
( ~ spl99_15
| ~ spl99_11
| ~ spl99_65 ),
inference(avatar_split_clause,[],[f1804,f904,f462,f478]) ).
fof(f904,plain,
( spl99_65
<=> r1(sK92,sK48(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_65])]) ).
fof(f1804,plain,
( ~ p604(sK92)
| ~ spl99_11
| ~ spl99_65 ),
inference(subsumption_resolution,[],[f1700,f597]) ).
fof(f597,plain,
sP32(sK92),
inference(resolution,[],[f566,f279]) ).
fof(f279,plain,
! [X0] :
( ~ sP40(X0)
| sP32(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1700,plain,
( ~ sP32(sK92)
| ~ p604(sK92)
| ~ spl99_11
| ~ spl99_65 ),
inference(resolution,[],[f1629,f315]) ).
fof(f315,plain,
! [X0] :
( ~ p104(sK48(X0))
| ~ p604(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( ~ p104(sK48(X0))
& r1(X0,sK48(X0)) )
| ~ p604(X0)
| ~ sP32(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f80,f81]) ).
fof(f81,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK48(X0))
& r1(X0,sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ~ p604(X0)
| ~ sP32(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X12] :
( ? [X47] :
( ~ p104(X47)
& r1(X12,X47) )
| ~ p604(X12)
| ~ sP32(X12) ),
inference(nnf_transformation,[],[f39]) ).
fof(f1629,plain,
( p104(sK48(sK92))
| ~ spl99_11
| ~ spl99_65 ),
inference(resolution,[],[f463,f906]) ).
fof(f906,plain,
( r1(sK92,sK48(sK92))
| ~ spl99_65 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f1803,plain,
( ~ spl99_11
| ~ spl99_31
| ~ spl99_38 ),
inference(avatar_contradiction_clause,[],[f1802]) ).
fof(f1802,plain,
( $false
| ~ spl99_11
| ~ spl99_31
| ~ spl99_38 ),
inference(subsumption_resolution,[],[f1801,f545]) ).
fof(f1801,plain,
( ~ p404(sK92)
| ~ spl99_11
| ~ spl99_38 ),
inference(subsumption_resolution,[],[f1800,f591]) ).
fof(f591,plain,
sP28(sK92),
inference(resolution,[],[f566,f270]) ).
fof(f270,plain,
! [X0] :
( ~ sP40(X0)
| sP28(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1800,plain,
( ~ sP28(sK92)
| ~ p404(sK92)
| ~ spl99_11
| ~ spl99_38 ),
inference(resolution,[],[f1798,f322]) ).
fof(f322,plain,
! [X0] :
( ~ p104(sK52(X0))
| ~ sP28(X0)
| ~ p404(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ p404(X0)
| ( r1(X0,sK52(X0))
& ~ p104(sK52(X0)) )
| ~ sP28(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f96,f97]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
=> ( r1(X0,sK52(X0))
& ~ p104(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ~ p404(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
| ~ sP28(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X12] :
( ~ p404(X12)
| ? [X59] :
( r1(X12,X59)
& ~ p104(X59) )
| ~ sP28(X12) ),
inference(nnf_transformation,[],[f35]) ).
fof(f1798,plain,
( p104(sK52(sK92))
| ~ spl99_11
| ~ spl99_38 ),
inference(resolution,[],[f687,f463]) ).
fof(f687,plain,
( r1(sK92,sK52(sK92))
| ~ spl99_38 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f685,plain,
( spl99_38
<=> r1(sK92,sK52(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_38])]) ).
fof(f1796,plain,
( spl99_83
| ~ spl99_31 ),
inference(avatar_split_clause,[],[f732,f543,f1793]) ).
fof(f732,plain,
( ~ p404(sK92)
| r1(sK92,sK57(sK92)) ),
inference(resolution,[],[f333,f586]) ).
fof(f333,plain,
! [X0] :
( ~ sP23(X0)
| ~ p404(X0)
| r1(X0,sK57(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f1791,plain,
( spl99_82
| ~ spl99_31 ),
inference(avatar_split_clause,[],[f742,f543,f1788]) ).
fof(f742,plain,
( ~ p404(sK92)
| r1(sK92,sK62(sK92)) ),
inference(resolution,[],[f343,f579]) ).
fof(f343,plain,
! [X0] :
( ~ sP18(X0)
| r1(X0,sK62(X0))
| ~ p404(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f1786,plain,
( ~ spl99_29
| ~ spl99_35 ),
inference(avatar_contradiction_clause,[],[f1785]) ).
fof(f1785,plain,
( $false
| ~ spl99_29
| ~ spl99_35 ),
inference(subsumption_resolution,[],[f1784,f537]) ).
fof(f1784,plain,
( ~ p403(sK92)
| ~ spl99_29
| ~ spl99_35 ),
inference(subsumption_resolution,[],[f1783,f584]) ).
fof(f584,plain,
sP22(sK92),
inference(resolution,[],[f566,f256]) ).
fof(f256,plain,
! [X0] :
( ~ sP40(X0)
| sP22(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1783,plain,
( ~ sP22(sK92)
| ~ p403(sK92)
| ~ spl99_29
| ~ spl99_35 ),
inference(resolution,[],[f1780,f335]) ).
fof(f335,plain,
! [X0] :
( ~ p203(sK58(X0))
| ~ p403(X0)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( ~ p203(sK58(X0))
& r1(X0,sK58(X0)) )
| ~ p403(X0)
| ~ sP22(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f120,f121]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK58(X0))
& r1(X0,sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p403(X0)
| ~ sP22(X0) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X12] :
( ? [X19] :
( ~ p203(X19)
& r1(X12,X19) )
| ~ p403(X12)
| ~ sP22(X12) ),
inference(nnf_transformation,[],[f29]) ).
fof(f1780,plain,
( p203(sK58(sK92))
| ~ spl99_29
| ~ spl99_35 ),
inference(resolution,[],[f1770,f560]) ).
fof(f560,plain,
( ! [X5] :
( ~ r1(sK92,X5)
| p203(X5) )
| ~ spl99_35 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f559,plain,
( spl99_35
<=> ! [X5] :
( ~ r1(sK92,X5)
| p203(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_35])]) ).
fof(f1770,plain,
( r1(sK92,sK58(sK92))
| ~ spl99_29 ),
inference(subsumption_resolution,[],[f733,f537]) ).
fof(f733,plain,
( ~ p403(sK92)
| r1(sK92,sK58(sK92)) ),
inference(resolution,[],[f334,f584]) ).
fof(f334,plain,
! [X0] :
( ~ sP22(X0)
| r1(X0,sK58(X0))
| ~ p403(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f1771,plain,
( spl99_44
| ~ spl99_22
| ~ spl99_45 ),
inference(avatar_split_clause,[],[f1767,f757,f507,f753]) ).
fof(f753,plain,
( spl99_44
<=> r1(sK92,sK71(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_44])]) ).
fof(f757,plain,
( spl99_45
<=> r1(sK92,sK72(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_45])]) ).
fof(f1767,plain,
( r1(sK92,sK71(sK92))
| ~ spl99_22
| ~ spl99_45 ),
inference(subsumption_resolution,[],[f1764,f606]) ).
fof(f606,plain,
sP9(sK92),
inference(resolution,[],[f566,f299]) ).
fof(f299,plain,
! [X0] :
( ~ sP40(X0)
| sP9(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1764,plain,
( ~ sP9(sK92)
| r1(sK92,sK71(sK92))
| ~ spl99_22
| ~ spl99_45 ),
inference(resolution,[],[f1748,f362]) ).
fof(f362,plain,
! [X0] :
( ~ p305(sK72(X0))
| r1(X0,sK71(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( r1(X0,sK71(X0))
& ~ p405(sK71(X0)) )
| ( r1(X0,sK72(X0))
& ~ p305(sK72(X0)) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71,sK72])],[f172,f174,f173]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p405(X1) )
=> ( r1(X0,sK71(X0))
& ~ p405(sK71(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p305(X2) )
=> ( r1(X0,sK72(X0))
& ~ p305(sK72(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p405(X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p305(X2) )
| ~ sP9(X0) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X12] :
( ? [X14] :
( r1(X12,X14)
& ~ p405(X14) )
| ? [X15] :
( r1(X12,X15)
& ~ p305(X15) )
| ~ sP9(X12) ),
inference(nnf_transformation,[],[f16]) ).
fof(f1748,plain,
( p305(sK72(sK92))
| ~ spl99_22
| ~ spl99_45 ),
inference(resolution,[],[f508,f759]) ).
fof(f759,plain,
( r1(sK92,sK72(sK92))
| ~ spl99_45 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f1727,plain,
( ~ spl99_19
| ~ spl99_35
| ~ spl99_81 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1726,plain,
( $false
| ~ spl99_19
| ~ spl99_35
| ~ spl99_81 ),
inference(subsumption_resolution,[],[f1725,f578]) ).
fof(f578,plain,
sP17(sK92),
inference(resolution,[],[f566,f248]) ).
fof(f248,plain,
! [X0] :
( ~ sP40(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1725,plain,
( ~ sP17(sK92)
| ~ spl99_19
| ~ spl99_35
| ~ spl99_81 ),
inference(subsumption_resolution,[],[f1724,f497]) ).
fof(f1724,plain,
( ~ sP17(sK92)
| ~ p303(sK92)
| ~ spl99_35
| ~ spl99_81 ),
inference(resolution,[],[f1722,f344]) ).
fof(f344,plain,
! [X0] :
( ~ p203(sK63(X0))
| ~ p303(X0)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( r1(X0,sK63(X0))
& ~ p203(sK63(X0)) )
| ~ p303(X0)
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f140,f141]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
=> ( r1(X0,sK63(X0))
& ~ p203(sK63(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
| ~ p303(X0)
| ~ sP17(X0) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X12] :
( ? [X33] :
( r1(X12,X33)
& ~ p203(X33) )
| ~ p303(X12)
| ~ sP17(X12) ),
inference(nnf_transformation,[],[f24]) ).
fof(f1722,plain,
( p203(sK63(sK92))
| ~ spl99_35
| ~ spl99_81 ),
inference(resolution,[],[f1716,f560]) ).
fof(f1716,plain,
( r1(sK92,sK63(sK92))
| ~ spl99_81 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1714,plain,
( spl99_81
<=> r1(sK92,sK63(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_81])]) ).
fof(f1717,plain,
( spl99_81
| ~ spl99_19 ),
inference(avatar_split_clause,[],[f743,f495,f1714]) ).
fof(f743,plain,
( ~ p303(sK92)
| r1(sK92,sK63(sK92)) ),
inference(resolution,[],[f345,f578]) ).
fof(f345,plain,
! [X0] :
( ~ sP17(X0)
| ~ p303(X0)
| r1(X0,sK63(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f1712,plain,
( ~ spl99_22
| ~ spl99_32
| ~ spl99_44
| ~ spl99_45 ),
inference(avatar_contradiction_clause,[],[f1711]) ).
fof(f1711,plain,
( $false
| ~ spl99_22
| ~ spl99_32
| ~ spl99_44
| ~ spl99_45 ),
inference(subsumption_resolution,[],[f1710,f1116]) ).
fof(f1116,plain,
( p405(sK71(sK92))
| ~ spl99_32
| ~ spl99_44 ),
inference(resolution,[],[f548,f755]) ).
fof(f755,plain,
( r1(sK92,sK71(sK92))
| ~ spl99_44 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f548,plain,
( ! [X3] :
( ~ r1(sK92,X3)
| p405(X3) )
| ~ spl99_32 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl99_32
<=> ! [X3] :
( ~ r1(sK92,X3)
| p405(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_32])]) ).
fof(f1710,plain,
( ~ p405(sK71(sK92))
| ~ spl99_22
| ~ spl99_45 ),
inference(subsumption_resolution,[],[f1709,f606]) ).
fof(f1709,plain,
( ~ sP9(sK92)
| ~ p405(sK71(sK92))
| ~ spl99_22
| ~ spl99_45 ),
inference(resolution,[],[f1673,f360]) ).
fof(f360,plain,
! [X0] :
( ~ p305(sK72(X0))
| ~ sP9(X0)
| ~ p405(sK71(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f1673,plain,
( p305(sK72(sK92))
| ~ spl99_22
| ~ spl99_45 ),
inference(resolution,[],[f508,f759]) ).
fof(f1621,plain,
( spl99_80
| ~ spl99_21 ),
inference(avatar_split_clause,[],[f663,f503,f1618]) ).
fof(f663,plain,
( ~ p302(sK92)
| r1(sK92,sK42(sK92)) ),
inference(resolution,[],[f302,f604]) ).
fof(f302,plain,
! [X0] :
( ~ sP38(X0)
| ~ p302(X0)
| r1(X0,sK42(X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1615,plain,
( ~ spl99_33
| spl99_46
| ~ spl99_47 ),
inference(avatar_contradiction_clause,[],[f1614]) ).
fof(f1614,plain,
( $false
| ~ spl99_33
| spl99_46
| ~ spl99_47 ),
inference(subsumption_resolution,[],[f1613,f772]) ).
fof(f772,plain,
( ~ r1(sK92,sK73(sK92))
| spl99_46 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f771,plain,
( spl99_46
<=> r1(sK92,sK73(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_46])]) ).
fof(f1613,plain,
( r1(sK92,sK73(sK92))
| ~ spl99_33
| ~ spl99_47 ),
inference(subsumption_resolution,[],[f1611,f600]) ).
fof(f600,plain,
sP8(sK92),
inference(resolution,[],[f566,f284]) ).
fof(f284,plain,
! [X0] :
( ~ sP40(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1611,plain,
( ~ sP8(sK92)
| r1(sK92,sK73(sK92))
| ~ spl99_33
| ~ spl99_47 ),
inference(resolution,[],[f1563,f364]) ).
fof(f364,plain,
! [X0] :
( ~ p103(sK74(X0))
| ~ sP8(X0)
| r1(X0,sK73(X0)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( ~ p203(sK73(X0))
& r1(X0,sK73(X0)) )
| ( r1(X0,sK74(X0))
& ~ p103(sK74(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73,sK74])],[f177,f179,f178]) ).
fof(f178,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK73(X0))
& r1(X0,sK73(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p103(X2) )
=> ( r1(X0,sK74(X0))
& ~ p103(sK74(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p103(X2) )
| ~ sP8(X0) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X12] :
( ? [X24] :
( ~ p203(X24)
& r1(X12,X24) )
| ? [X23] :
( r1(X12,X23)
& ~ p103(X23) )
| ~ sP8(X12) ),
inference(nnf_transformation,[],[f15]) ).
fof(f1563,plain,
( p103(sK74(sK92))
| ~ spl99_33
| ~ spl99_47 ),
inference(resolution,[],[f552,f777]) ).
fof(f777,plain,
( r1(sK92,sK74(sK92))
| ~ spl99_47 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f775,plain,
( spl99_47
<=> r1(sK92,sK74(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_47])]) ).
fof(f1579,plain,
( ~ spl99_14
| ~ spl99_33
| ~ spl99_66 ),
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1578,plain,
( $false
| ~ spl99_14
| ~ spl99_33
| ~ spl99_66 ),
inference(subsumption_resolution,[],[f1577,f476]) ).
fof(f1577,plain,
( ~ p603(sK92)
| ~ spl99_33
| ~ spl99_66 ),
inference(subsumption_resolution,[],[f1576,f574]) ).
fof(f574,plain,
sP15(sK92),
inference(resolution,[],[f566,f243]) ).
fof(f243,plain,
! [X0] :
( ~ sP40(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1576,plain,
( ~ sP15(sK92)
| ~ p603(sK92)
| ~ spl99_33
| ~ spl99_66 ),
inference(resolution,[],[f1557,f349]) ).
fof(f349,plain,
! [X0] :
( ~ p103(sK65(X0))
| ~ p603(X0)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ~ p603(X0)
| ( ~ p103(sK65(X0))
& r1(X0,sK65(X0)) )
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f148,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK65(X0))
& r1(X0,sK65(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ~ p603(X0)
| ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ sP15(X0) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X12] :
( ~ p603(X12)
| ? [X39] :
( ~ p103(X39)
& r1(X12,X39) )
| ~ sP15(X12) ),
inference(nnf_transformation,[],[f22]) ).
fof(f1557,plain,
( p103(sK65(sK92))
| ~ spl99_33
| ~ spl99_66 ),
inference(resolution,[],[f552,f911]) ).
fof(f911,plain,
( r1(sK92,sK65(sK92))
| ~ spl99_66 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f909,plain,
( spl99_66
<=> r1(sK92,sK65(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_66])]) ).
fof(f1540,plain,
( ~ spl99_26
| spl99_60
| ~ spl99_61 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1539,plain,
( $false
| ~ spl99_26
| spl99_60
| ~ spl99_61 ),
inference(subsumption_resolution,[],[f1538,f573]) ).
fof(f573,plain,
sP1(sK92),
inference(resolution,[],[f566,f242]) ).
fof(f242,plain,
! [X0] :
( ~ sP40(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1538,plain,
( ~ sP1(sK92)
| ~ spl99_26
| spl99_60
| ~ spl99_61 ),
inference(subsumption_resolution,[],[f1535,f868]) ).
fof(f868,plain,
( ~ r1(sK92,sK88(sK92))
| spl99_60 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl99_60
<=> r1(sK92,sK88(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_60])]) ).
fof(f1535,plain,
( r1(sK92,sK88(sK92))
| ~ sP1(sK92)
| ~ spl99_26
| ~ spl99_61 ),
inference(resolution,[],[f1528,f395]) ).
fof(f395,plain,
! [X0] :
( ~ p105(sK87(X0))
| ~ sP1(X0)
| r1(X0,sK88(X0)) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ( ~ p105(sK87(X0))
& r1(X0,sK87(X0)) )
| ( r1(X0,sK88(X0))
& ~ p405(sK88(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88])],[f212,f214,f213]) ).
fof(f213,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK87(X0))
& r1(X0,sK87(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p405(X2) )
=> ( r1(X0,sK88(X0))
& ~ p405(sK88(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p405(X2) )
| ~ sP1(X0) ),
inference(rectify,[],[f211]) ).
fof(f211,plain,
! [X12] :
( ? [X30] :
( ~ p105(X30)
& r1(X12,X30) )
| ? [X29] :
( r1(X12,X29)
& ~ p405(X29) )
| ~ sP1(X12) ),
inference(nnf_transformation,[],[f8]) ).
fof(f1528,plain,
( p105(sK87(sK92))
| ~ spl99_26
| ~ spl99_61 ),
inference(resolution,[],[f524,f873]) ).
fof(f873,plain,
( r1(sK92,sK87(sK92))
| ~ spl99_61 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f871,plain,
( spl99_61
<=> r1(sK92,sK87(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_61])]) ).
fof(f1498,plain,
( ~ spl99_11
| spl99_50
| ~ spl99_51 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl99_11
| spl99_50
| ~ spl99_51 ),
inference(subsumption_resolution,[],[f1496,f806]) ).
fof(f806,plain,
( ~ r1(sK92,sK77(sK92))
| spl99_50 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl99_50
<=> r1(sK92,sK77(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_50])]) ).
fof(f1496,plain,
( r1(sK92,sK77(sK92))
| ~ spl99_11
| ~ spl99_51 ),
inference(subsumption_resolution,[],[f1494,f592]) ).
fof(f592,plain,
sP6(sK92),
inference(resolution,[],[f566,f271]) ).
fof(f271,plain,
! [X0] :
( ~ sP40(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1494,plain,
( ~ sP6(sK92)
| r1(sK92,sK77(sK92))
| ~ spl99_11
| ~ spl99_51 ),
inference(resolution,[],[f1480,f374]) ).
fof(f374,plain,
! [X0] :
( ~ p104(sK78(X0))
| r1(X0,sK77(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( r1(X0,sK77(X0))
& ~ p304(sK77(X0)) )
| ( r1(X0,sK78(X0))
& ~ p104(sK78(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77,sK78])],[f187,f189,f188]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
=> ( r1(X0,sK77(X0))
& ~ p304(sK77(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p104(X2) )
=> ( r1(X0,sK78(X0))
& ~ p104(sK78(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p104(X2) )
| ~ sP6(X0) ),
inference(rectify,[],[f186]) ).
fof(f186,plain,
! [X12] :
( ? [X21] :
( r1(X12,X21)
& ~ p304(X21) )
| ? [X22] :
( r1(X12,X22)
& ~ p104(X22) )
| ~ sP6(X12) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1480,plain,
( p104(sK78(sK92))
| ~ spl99_11
| ~ spl99_51 ),
inference(resolution,[],[f463,f811]) ).
fof(f811,plain,
( r1(sK92,sK78(sK92))
| ~ spl99_51 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl99_51
<=> r1(sK92,sK78(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_51])]) ).
fof(f1457,plain,
( spl99_52
| ~ spl99_24
| ~ spl99_53 ),
inference(avatar_split_clause,[],[f1456,f819,f515,f815]) ).
fof(f815,plain,
( spl99_52
<=> r1(sK92,sK79(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_52])]) ).
fof(f819,plain,
( spl99_53
<=> r1(sK92,sK80(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_53])]) ).
fof(f1456,plain,
( r1(sK92,sK79(sK92))
| ~ spl99_24
| ~ spl99_53 ),
inference(subsumption_resolution,[],[f1451,f585]) ).
fof(f585,plain,
sP5(sK92),
inference(resolution,[],[f566,f260]) ).
fof(f260,plain,
! [X0] :
( ~ sP40(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1451,plain,
( r1(sK92,sK79(sK92))
| ~ sP5(sK92)
| ~ spl99_24
| ~ spl99_53 ),
inference(resolution,[],[f1421,f379]) ).
fof(f379,plain,
! [X0] :
( ~ p205(sK80(X0))
| ~ sP5(X0)
| r1(X0,sK79(X0)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( r1(X0,sK79(X0))
& ~ p405(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] :
( r1(X0,X1)
& ~ p405(X1) )
=> ( r1(X0,sK79(X0))
& ~ p405(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] :
( r1(X0,X1)
& ~ p405(X1) )
| ? [X2] :
( ~ p205(X2)
& r1(X0,X2) )
| ~ sP5(X0) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X12] :
( ? [X27] :
( r1(X12,X27)
& ~ p405(X27) )
| ? [X26] :
( ~ p205(X26)
& r1(X12,X26) )
| ~ sP5(X12) ),
inference(nnf_transformation,[],[f12]) ).
fof(f1421,plain,
( p205(sK80(sK92))
| ~ spl99_24
| ~ spl99_53 ),
inference(resolution,[],[f516,f821]) ).
fof(f821,plain,
( r1(sK92,sK80(sK92))
| ~ spl99_53 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f1455,plain,
( ~ spl99_24
| ~ spl99_32
| ~ spl99_52
| ~ spl99_53 ),
inference(avatar_contradiction_clause,[],[f1454]) ).
fof(f1454,plain,
( $false
| ~ spl99_24
| ~ spl99_32
| ~ spl99_52
| ~ spl99_53 ),
inference(subsumption_resolution,[],[f1453,f1122]) ).
fof(f1122,plain,
( p405(sK79(sK92))
| ~ spl99_32
| ~ spl99_52 ),
inference(resolution,[],[f548,f817]) ).
fof(f817,plain,
( r1(sK92,sK79(sK92))
| ~ spl99_52 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f1453,plain,
( ~ p405(sK79(sK92))
| ~ spl99_24
| ~ spl99_53 ),
inference(subsumption_resolution,[],[f1452,f585]) ).
fof(f1452,plain,
( ~ sP5(sK92)
| ~ p405(sK79(sK92))
| ~ spl99_24
| ~ spl99_53 ),
inference(resolution,[],[f1421,f377]) ).
fof(f377,plain,
! [X0] :
( ~ p205(sK80(X0))
| ~ p405(sK79(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1397,plain,
( ~ spl99_34
| ~ spl99_9
| ~ spl99_72 ),
inference(avatar_split_clause,[],[f1394,f1054,f454,f555]) ).
fof(f555,plain,
( spl99_34
<=> p202(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_34])]) ).
fof(f1054,plain,
( spl99_72
<=> r1(sK92,sK67(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_72])]) ).
fof(f1394,plain,
( ~ p202(sK92)
| ~ spl99_9
| ~ spl99_72 ),
inference(subsumption_resolution,[],[f1365,f571]) ).
fof(f571,plain,
sP13(sK92),
inference(resolution,[],[f566,f234]) ).
fof(f234,plain,
! [X0] :
( ~ sP40(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1365,plain,
( ~ sP13(sK92)
| ~ p202(sK92)
| ~ spl99_9
| ~ spl99_72 ),
inference(resolution,[],[f1343,f352]) ).
fof(f352,plain,
! [X0] :
( ~ p102(sK67(X0))
| ~ p202(X0)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ~ p202(X0)
| ( r1(X0,sK67(X0))
& ~ p102(sK67(X0)) )
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f156,f157]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p102(X1) )
=> ( r1(X0,sK67(X0))
& ~ p102(sK67(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ~ p202(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p102(X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X12] :
( ~ p202(X12)
| ? [X48] :
( r1(X12,X48)
& ~ p102(X48) )
| ~ sP13(X12) ),
inference(nnf_transformation,[],[f20]) ).
fof(f1343,plain,
( p102(sK67(sK92))
| ~ spl99_9
| ~ spl99_72 ),
inference(resolution,[],[f455,f1056]) ).
fof(f1056,plain,
( r1(sK92,sK67(sK92))
| ~ spl99_72 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1393,plain,
( ~ spl99_16
| ~ spl99_32
| ~ spl99_37 ),
inference(avatar_split_clause,[],[f1389,f674,f547,f482]) ).
fof(f674,plain,
( spl99_37
<=> r1(sK92,sK47(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_37])]) ).
fof(f1389,plain,
( ~ p605(sK92)
| ~ spl99_32
| ~ spl99_37 ),
inference(subsumption_resolution,[],[f1153,f598]) ).
fof(f598,plain,
sP33(sK92),
inference(resolution,[],[f566,f280]) ).
fof(f280,plain,
! [X0] :
( ~ sP40(X0)
| sP33(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1153,plain,
( ~ sP33(sK92)
| ~ p605(sK92)
| ~ spl99_32
| ~ spl99_37 ),
inference(resolution,[],[f1114,f313]) ).
fof(f313,plain,
! [X0] :
( ~ p405(sK47(X0))
| ~ sP33(X0)
| ~ p605(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ p605(X0)
| ( ~ p405(sK47(X0))
& r1(X0,sK47(X0)) )
| ~ sP33(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f76,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
=> ( ~ p405(sK47(X0))
& r1(X0,sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ~ p605(X0)
| ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
| ~ sP33(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X12] :
( ~ p605(X12)
| ? [X54] :
( ~ p405(X54)
& r1(X12,X54) )
| ~ sP33(X12) ),
inference(nnf_transformation,[],[f40]) ).
fof(f1114,plain,
( p405(sK47(sK92))
| ~ spl99_32
| ~ spl99_37 ),
inference(resolution,[],[f548,f676]) ).
fof(f676,plain,
( r1(sK92,sK47(sK92))
| ~ spl99_37 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f1392,plain,
( ~ spl99_4
| ~ spl99_12 ),
inference(avatar_split_clause,[],[f643,f466,f433]) ).
fof(f643,plain,
( ~ p601(sK92)
| ~ p501(sK92) ),
inference(resolution,[],[f268,f566]) ).
fof(f268,plain,
! [X0] :
( ~ sP40(X0)
| ~ p501(X0)
| ~ p601(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1383,plain,
( ~ spl99_14
| ~ spl99_35 ),
inference(avatar_contradiction_clause,[],[f1382]) ).
fof(f1382,plain,
( $false
| ~ spl99_14
| ~ spl99_35 ),
inference(subsumption_resolution,[],[f1381,f476]) ).
fof(f1381,plain,
( ~ p603(sK92)
| ~ spl99_14
| ~ spl99_35 ),
inference(subsumption_resolution,[],[f1380,f568]) ).
fof(f568,plain,
sP11(sK92),
inference(resolution,[],[f566,f229]) ).
fof(f229,plain,
! [X0] :
( ~ sP40(X0)
| sP11(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1380,plain,
( ~ sP11(sK92)
| ~ p603(sK92)
| ~ spl99_14
| ~ spl99_35 ),
inference(resolution,[],[f1377,f356]) ).
fof(f356,plain,
! [X0] :
( ~ p203(sK69(X0))
| ~ sP11(X0)
| ~ p603(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( r1(X0,sK69(X0))
& ~ p203(sK69(X0)) )
| ~ p603(X0)
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f164,f165]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
=> ( r1(X0,sK69(X0))
& ~ p203(sK69(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
| ~ p603(X0)
| ~ sP11(X0) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X12] :
( ? [X57] :
( r1(X12,X57)
& ~ p203(X57) )
| ~ p603(X12)
| ~ sP11(X12) ),
inference(nnf_transformation,[],[f18]) ).
fof(f1377,plain,
( p203(sK69(sK92))
| ~ spl99_14
| ~ spl99_35 ),
inference(resolution,[],[f1371,f560]) ).
fof(f1371,plain,
( r1(sK92,sK69(sK92))
| ~ spl99_14 ),
inference(subsumption_resolution,[],[f749,f476]) ).
fof(f749,plain,
( ~ p603(sK92)
| r1(sK92,sK69(sK92)) ),
inference(resolution,[],[f357,f568]) ).
fof(f357,plain,
! [X0] :
( ~ sP11(X0)
| ~ p603(X0)
| r1(X0,sK69(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1370,plain,
( ~ spl99_13
| ~ spl99_9
| ~ spl99_77 ),
inference(avatar_split_clause,[],[f1367,f1274,f454,f470]) ).
fof(f1274,plain,
( spl99_77
<=> r1(sK92,sK44(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_77])]) ).
fof(f1367,plain,
( ~ p602(sK92)
| ~ spl99_9
| ~ spl99_77 ),
inference(subsumption_resolution,[],[f1366,f602]) ).
fof(f602,plain,
sP36(sK92),
inference(resolution,[],[f566,f294]) ).
fof(f294,plain,
! [X0] :
( ~ sP40(X0)
| sP36(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1366,plain,
( ~ sP36(sK92)
| ~ p602(sK92)
| ~ spl99_9
| ~ spl99_77 ),
inference(resolution,[],[f1361,f307]) ).
fof(f307,plain,
! [X0] :
( ~ p102(sK44(X0))
| ~ p602(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ p602(X0)
| ( ~ p102(sK44(X0))
& r1(X0,sK44(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] :
( ~ p602(X0)
| ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ sP36(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X12] :
( ~ p602(X12)
| ? [X46] :
( ~ p102(X46)
& r1(X12,X46) )
| ~ sP36(X12) ),
inference(nnf_transformation,[],[f43]) ).
fof(f1361,plain,
( p102(sK44(sK92))
| ~ spl99_9
| ~ spl99_77 ),
inference(resolution,[],[f1276,f455]) ).
fof(f1276,plain,
( r1(sK92,sK44(sK92))
| ~ spl99_77 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1329,plain,
( ~ spl99_2
| ~ spl99_13 ),
inference(avatar_split_clause,[],[f1328,f470,f425]) ).
fof(f1328,plain,
( ~ p502(sK92)
| ~ spl99_13 ),
inference(subsumption_resolution,[],[f646,f472]) ).
fof(f646,plain,
( ~ p502(sK92)
| ~ p602(sK92) ),
inference(resolution,[],[f278,f566]) ).
fof(f278,plain,
! [X0] :
( ~ sP40(X0)
| ~ p502(X0)
| ~ p602(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1327,plain,
( ~ spl99_33
| ~ spl99_35
| ~ spl99_46
| ~ spl99_47 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| ~ spl99_33
| ~ spl99_35
| ~ spl99_46
| ~ spl99_47 ),
inference(subsumption_resolution,[],[f1325,f1201]) ).
fof(f1201,plain,
( p203(sK73(sK92))
| ~ spl99_35
| ~ spl99_46 ),
inference(resolution,[],[f560,f773]) ).
fof(f773,plain,
( r1(sK92,sK73(sK92))
| ~ spl99_46 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f1325,plain,
( ~ p203(sK73(sK92))
| ~ spl99_33
| ~ spl99_47 ),
inference(subsumption_resolution,[],[f1324,f600]) ).
fof(f1324,plain,
( ~ sP8(sK92)
| ~ p203(sK73(sK92))
| ~ spl99_33
| ~ spl99_47 ),
inference(resolution,[],[f1309,f366]) ).
fof(f366,plain,
! [X0] :
( ~ p103(sK74(X0))
| ~ p203(sK73(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1309,plain,
( p103(sK74(sK92))
| ~ spl99_33
| ~ spl99_47 ),
inference(resolution,[],[f552,f777]) ).
fof(f1295,plain,
( ~ spl99_15
| ~ spl99_6
| ~ spl99_64 ),
inference(avatar_split_clause,[],[f1292,f899,f442,f478]) ).
fof(f899,plain,
( spl99_64
<=> r1(sK92,sK61(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_64])]) ).
fof(f1292,plain,
( ~ p604(sK92)
| ~ spl99_6
| ~ spl99_64 ),
inference(subsumption_resolution,[],[f1291,f581]) ).
fof(f581,plain,
sP19(sK92),
inference(resolution,[],[f566,f252]) ).
fof(f252,plain,
! [X0] :
( ~ sP40(X0)
| sP19(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1291,plain,
( ~ sP19(sK92)
| ~ p604(sK92)
| ~ spl99_6
| ~ spl99_64 ),
inference(resolution,[],[f1281,f340]) ).
fof(f340,plain,
! [X0] :
( ~ p304(sK61(X0))
| ~ p604(X0)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ~ p604(X0)
| ( r1(X0,sK61(X0))
& ~ p304(sK61(X0)) )
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f132,f133]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
=> ( r1(X0,sK61(X0))
& ~ p304(sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ~ p604(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
| ~ sP19(X0) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X12] :
( ~ p604(X12)
| ? [X56] :
( r1(X12,X56)
& ~ p304(X56) )
| ~ sP19(X12) ),
inference(nnf_transformation,[],[f26]) ).
fof(f1281,plain,
( p304(sK61(sK92))
| ~ spl99_6
| ~ spl99_64 ),
inference(resolution,[],[f901,f443]) ).
fof(f901,plain,
( r1(sK92,sK61(sK92))
| ~ spl99_64 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f1277,plain,
( spl99_77
| ~ spl99_13 ),
inference(avatar_split_clause,[],[f665,f470,f1274]) ).
fof(f665,plain,
( ~ p602(sK92)
| r1(sK92,sK44(sK92)) ),
inference(resolution,[],[f306,f602]) ).
fof(f306,plain,
! [X0] :
( ~ sP36(X0)
| ~ p602(X0)
| r1(X0,sK44(X0)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f1272,plain,
( ~ spl99_4
| ~ spl99_27 ),
inference(avatar_split_clause,[],[f1265,f526,f433]) ).
fof(f1265,plain,
( ~ p501(sK92)
| ~ spl99_27 ),
inference(subsumption_resolution,[],[f625,f528]) ).
fof(f528,plain,
( p101(sK92)
| ~ spl99_27 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f625,plain,
( ~ p101(sK92)
| ~ p501(sK92) ),
inference(resolution,[],[f241,f566]) ).
fof(f241,plain,
! [X0] :
( ~ sP40(X0)
| ~ p501(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1264,plain,
( ~ spl99_3
| spl99_76 ),
inference(avatar_split_clause,[],[f750,f1261,f429]) ).
fof(f750,plain,
( r1(sK92,sK70(sK92))
| ~ p504(sK92) ),
inference(resolution,[],[f359,f567]) ).
fof(f359,plain,
! [X0] :
( ~ sP10(X0)
| ~ p504(X0)
| r1(X0,sK70(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1259,plain,
( ~ spl99_3
| ~ spl99_6
| ~ spl99_42 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1258,plain,
( $false
| ~ spl99_3
| ~ spl99_6
| ~ spl99_42 ),
inference(subsumption_resolution,[],[f1257,f590]) ).
fof(f590,plain,
sP27(sK92),
inference(resolution,[],[f566,f269]) ).
fof(f269,plain,
! [X0] :
( ~ sP40(X0)
| sP27(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1257,plain,
( ~ sP27(sK92)
| ~ spl99_3
| ~ spl99_6
| ~ spl99_42 ),
inference(subsumption_resolution,[],[f1256,f431]) ).
fof(f1256,plain,
( ~ p504(sK92)
| ~ sP27(sK92)
| ~ spl99_6
| ~ spl99_42 ),
inference(resolution,[],[f1252,f325]) ).
fof(f325,plain,
! [X0] :
( ~ p304(sK53(X0))
| ~ sP27(X0)
| ~ p504(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ p504(X0)
| ( ~ p304(sK53(X0))
& r1(X0,sK53(X0)) )
| ~ sP27(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f100,f101]) ).
fof(f101,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK53(X0))
& r1(X0,sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ~ p504(X0)
| ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ~ sP27(X0) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X12] :
( ~ p504(X12)
| ? [X34] :
( ~ p304(X34)
& r1(X12,X34) )
| ~ sP27(X12) ),
inference(nnf_transformation,[],[f34]) ).
fof(f1252,plain,
( p304(sK53(sK92))
| ~ spl99_6
| ~ spl99_42 ),
inference(resolution,[],[f718,f443]) ).
fof(f718,plain,
( r1(sK92,sK53(sK92))
| ~ spl99_42 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl99_42
<=> r1(sK92,sK53(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_42])]) ).
fof(f1245,plain,
( ~ spl99_1
| spl99_75 ),
inference(avatar_split_clause,[],[f746,f1242,f421]) ).
fof(f746,plain,
( r1(sK92,sK66(sK92))
| ~ p505(sK92) ),
inference(resolution,[],[f350,f572]) ).
fof(f350,plain,
! [X0] :
( ~ sP14(X0)
| r1(X0,sK66(X0))
| ~ p505(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1240,plain,
( ~ spl99_1
| ~ spl99_32
| ~ spl99_39 ),
inference(avatar_split_clause,[],[f1237,f701,f547,f421]) ).
fof(f701,plain,
( spl99_39
<=> r1(sK92,sK49(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_39])]) ).
fof(f1237,plain,
( ~ p505(sK92)
| ~ spl99_32
| ~ spl99_39 ),
inference(subsumption_resolution,[],[f1236,f596]) ).
fof(f596,plain,
sP31(sK92),
inference(resolution,[],[f566,f277]) ).
fof(f277,plain,
! [X0] :
( ~ sP40(X0)
| sP31(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1236,plain,
( ~ sP31(sK92)
| ~ p505(sK92)
| ~ spl99_32
| ~ spl99_39 ),
inference(resolution,[],[f1216,f316]) ).
fof(f316,plain,
! [X0] :
( ~ p405(sK49(X0))
| ~ p505(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( r1(X0,sK49(X0))
& ~ p405(sK49(X0)) )
| ~ p505(X0)
| ~ sP31(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f84,f85]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p405(X1) )
=> ( r1(X0,sK49(X0))
& ~ p405(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p405(X1) )
| ~ p505(X0)
| ~ sP31(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X12] :
( ? [X43] :
( r1(X12,X43)
& ~ p405(X43) )
| ~ p505(X12)
| ~ sP31(X12) ),
inference(nnf_transformation,[],[f38]) ).
fof(f1216,plain,
( p405(sK49(sK92))
| ~ spl99_32
| ~ spl99_39 ),
inference(resolution,[],[f703,f548]) ).
fof(f703,plain,
( r1(sK92,sK49(sK92))
| ~ spl99_39 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1232,plain,
( spl99_47
| ~ spl99_35
| ~ spl99_46 ),
inference(avatar_split_clause,[],[f1231,f771,f559,f775]) ).
fof(f1231,plain,
( r1(sK92,sK74(sK92))
| ~ spl99_35
| ~ spl99_46 ),
inference(subsumption_resolution,[],[f1230,f600]) ).
fof(f1230,plain,
( ~ sP8(sK92)
| r1(sK92,sK74(sK92))
| ~ spl99_35
| ~ spl99_46 ),
inference(resolution,[],[f1201,f367]) ).
fof(f367,plain,
! [X0] :
( ~ p203(sK73(X0))
| r1(X0,sK74(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1184,plain,
( ~ spl99_13
| ~ spl99_34 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| ~ spl99_13
| ~ spl99_34 ),
inference(subsumption_resolution,[],[f1182,f472]) ).
fof(f1182,plain,
( ~ p602(sK92)
| ~ spl99_34 ),
inference(subsumption_resolution,[],[f650,f557]) ).
fof(f557,plain,
( p202(sK92)
| ~ spl99_34 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f650,plain,
( ~ p202(sK92)
| ~ p602(sK92) ),
inference(resolution,[],[f286,f566]) ).
fof(f286,plain,
! [X0] :
( ~ sP40(X0)
| ~ p202(X0)
| ~ p602(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1180,plain,
( ~ spl99_12
| ~ spl99_27 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
fof(f1179,plain,
( $false
| ~ spl99_12
| ~ spl99_27 ),
inference(subsumption_resolution,[],[f1178,f528]) ).
fof(f1178,plain,
( ~ p101(sK92)
| ~ spl99_12 ),
inference(subsumption_resolution,[],[f648,f468]) ).
fof(f468,plain,
( p601(sK92)
| ~ spl99_12 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f648,plain,
( ~ p601(sK92)
| ~ p101(sK92) ),
inference(resolution,[],[f283,f566]) ).
fof(f283,plain,
! [X0] :
( ~ sP40(X0)
| ~ p601(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1177,plain,
( ~ spl99_26
| ~ spl99_32
| ~ spl99_60
| ~ spl99_61 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl99_26
| ~ spl99_32
| ~ spl99_60
| ~ spl99_61 ),
inference(subsumption_resolution,[],[f1175,f573]) ).
fof(f1175,plain,
( ~ sP1(sK92)
| ~ spl99_26
| ~ spl99_32
| ~ spl99_60
| ~ spl99_61 ),
inference(subsumption_resolution,[],[f1174,f1126]) ).
fof(f1126,plain,
( p405(sK88(sK92))
| ~ spl99_32
| ~ spl99_60 ),
inference(resolution,[],[f548,f869]) ).
fof(f869,plain,
( r1(sK92,sK88(sK92))
| ~ spl99_60 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f1174,plain,
( ~ p405(sK88(sK92))
| ~ sP1(sK92)
| ~ spl99_26
| ~ spl99_61 ),
inference(resolution,[],[f1167,f394]) ).
fof(f394,plain,
! [X0] :
( ~ p105(sK87(X0))
| ~ p405(sK88(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1167,plain,
( p105(sK87(sK92))
| ~ spl99_26
| ~ spl99_61 ),
inference(resolution,[],[f873,f524]) ).
fof(f1166,plain,
( spl99_61
| ~ spl99_32
| ~ spl99_60 ),
inference(avatar_split_clause,[],[f1165,f867,f547,f871]) ).
fof(f1165,plain,
( r1(sK92,sK87(sK92))
| ~ spl99_32
| ~ spl99_60 ),
inference(subsumption_resolution,[],[f1164,f573]) ).
fof(f1164,plain,
( r1(sK92,sK87(sK92))
| ~ sP1(sK92)
| ~ spl99_32
| ~ spl99_60 ),
inference(resolution,[],[f1126,f392]) ).
fof(f392,plain,
! [X0] :
( ~ p405(sK88(X0))
| ~ sP1(X0)
| r1(X0,sK87(X0)) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1160,plain,
( spl99_53
| ~ spl99_32
| ~ spl99_52 ),
inference(avatar_split_clause,[],[f1159,f815,f547,f819]) ).
fof(f1159,plain,
( r1(sK92,sK80(sK92))
| ~ spl99_32
| ~ spl99_52 ),
inference(subsumption_resolution,[],[f1158,f585]) ).
fof(f1158,plain,
( ~ sP5(sK92)
| r1(sK92,sK80(sK92))
| ~ spl99_32
| ~ spl99_52 ),
inference(resolution,[],[f1122,f376]) ).
fof(f376,plain,
! [X0] :
( ~ p405(sK79(X0))
| r1(X0,sK80(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1131,plain,
( ~ spl99_5
| ~ spl99_33 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| ~ spl99_5
| ~ spl99_33 ),
inference(subsumption_resolution,[],[f1129,f439]) ).
fof(f439,plain,
( p503(sK92)
| ~ spl99_5 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl99_5
<=> p503(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_5])]) ).
fof(f1129,plain,
( ~ p503(sK92)
| ~ spl99_5
| ~ spl99_33 ),
inference(subsumption_resolution,[],[f1128,f599]) ).
fof(f599,plain,
sP34(sK92),
inference(resolution,[],[f566,f282]) ).
fof(f282,plain,
! [X0] :
( ~ sP40(X0)
| sP34(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1128,plain,
( ~ sP34(sK92)
| ~ p503(sK92)
| ~ spl99_5
| ~ spl99_33 ),
inference(resolution,[],[f1087,f310]) ).
fof(f310,plain,
! [X0] :
( ~ p103(sK46(X0))
| ~ p503(X0)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( r1(X0,sK46(X0))
& ~ p103(sK46(X0)) )
| ~ p503(X0)
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f72,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
=> ( r1(X0,sK46(X0))
& ~ p103(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
| ~ p503(X0)
| ~ sP34(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X12] :
( ? [X35] :
( r1(X12,X35)
& ~ p103(X35) )
| ~ p503(X12)
| ~ sP34(X12) ),
inference(nnf_transformation,[],[f41]) ).
fof(f1087,plain,
( p103(sK46(sK92))
| ~ spl99_5
| ~ spl99_33 ),
inference(resolution,[],[f552,f727]) ).
fof(f727,plain,
( r1(sK92,sK46(sK92))
| ~ spl99_5 ),
inference(subsumption_resolution,[],[f671,f439]) ).
fof(f671,plain,
( ~ p503(sK92)
| r1(sK92,sK46(sK92)) ),
inference(resolution,[],[f311,f599]) ).
fof(f311,plain,
! [X0] :
( ~ sP34(X0)
| r1(X0,sK46(X0))
| ~ p503(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f1112,plain,
( ~ spl99_30
| ~ spl99_34 ),
inference(avatar_split_clause,[],[f649,f555,f539]) ).
fof(f649,plain,
( ~ p202(sK92)
| ~ p402(sK92) ),
inference(resolution,[],[f285,f566]) ).
fof(f285,plain,
! [X0] :
( ~ sP40(X0)
| ~ p402(X0)
| ~ p202(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1111,plain,
( spl99_56
| ~ spl99_18
| ~ spl99_57 ),
inference(avatar_split_clause,[],[f1110,f842,f491,f838]) ).
fof(f838,plain,
( spl99_56
<=> r1(sK92,sK84(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_56])]) ).
fof(f842,plain,
( spl99_57
<=> r1(sK92,sK83(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_57])]) ).
fof(f1110,plain,
( r1(sK92,sK84(sK92))
| ~ spl99_18
| ~ spl99_57 ),
inference(subsumption_resolution,[],[f1105,f577]) ).
fof(f577,plain,
sP3(sK92),
inference(resolution,[],[f566,f247]) ).
fof(f247,plain,
! [X0] :
( ~ sP40(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1105,plain,
( ~ sP3(sK92)
| r1(sK92,sK84(sK92))
| ~ spl99_18
| ~ spl99_57 ),
inference(resolution,[],[f1074,f387]) ).
fof(f387,plain,
! [X0] :
( ~ p204(sK83(X0))
| r1(X0,sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ( ~ p204(sK83(X0))
& r1(X0,sK83(X0)) )
| ( r1(X0,sK84(X0))
& ~ p304(sK84(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84])],[f202,f204,f203]) ).
fof(f203,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK83(X0))
& r1(X0,sK83(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p304(X2) )
=> ( r1(X0,sK84(X0))
& ~ p304(sK84(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p304(X2) )
| ~ sP3(X0) ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
! [X12] :
( ? [X61] :
( ~ p204(X61)
& r1(X12,X61) )
| ? [X62] :
( r1(X12,X62)
& ~ p304(X62) )
| ~ sP3(X12) ),
inference(nnf_transformation,[],[f10]) ).
fof(f1074,plain,
( p204(sK83(sK92))
| ~ spl99_18
| ~ spl99_57 ),
inference(resolution,[],[f492,f844]) ).
fof(f844,plain,
( r1(sK92,sK83(sK92))
| ~ spl99_57 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f1109,plain,
( ~ spl99_6
| ~ spl99_18
| ~ spl99_56
| ~ spl99_57 ),
inference(avatar_contradiction_clause,[],[f1108]) ).
fof(f1108,plain,
( $false
| ~ spl99_6
| ~ spl99_18
| ~ spl99_56
| ~ spl99_57 ),
inference(subsumption_resolution,[],[f1107,f994]) ).
fof(f994,plain,
( p304(sK84(sK92))
| ~ spl99_6
| ~ spl99_56 ),
inference(resolution,[],[f443,f840]) ).
fof(f840,plain,
( r1(sK92,sK84(sK92))
| ~ spl99_56 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1107,plain,
( ~ p304(sK84(sK92))
| ~ spl99_18
| ~ spl99_57 ),
inference(subsumption_resolution,[],[f1106,f577]) ).
fof(f1106,plain,
( ~ sP3(sK92)
| ~ p304(sK84(sK92))
| ~ spl99_18
| ~ spl99_57 ),
inference(resolution,[],[f1074,f386]) ).
fof(f386,plain,
! [X0] :
( ~ p204(sK83(X0))
| ~ sP3(X0)
| ~ p304(sK84(X0)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1085,plain,
( spl99_59
| ~ spl99_26
| ~ spl99_58 ),
inference(avatar_split_clause,[],[f1084,f857,f523,f861]) ).
fof(f1084,plain,
( r1(sK92,sK85(sK92))
| ~ spl99_26
| ~ spl99_58 ),
inference(subsumption_resolution,[],[f1082,f575]) ).
fof(f1082,plain,
( ~ sP2(sK92)
| r1(sK92,sK85(sK92))
| ~ spl99_26
| ~ spl99_58 ),
inference(resolution,[],[f1046,f389]) ).
fof(f389,plain,
! [X0] :
( ~ p105(sK86(X0))
| r1(X0,sK85(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1046,plain,
( p105(sK86(sK92))
| ~ spl99_26
| ~ spl99_58 ),
inference(resolution,[],[f524,f859]) ).
fof(f1057,plain,
( spl99_72
| ~ spl99_34 ),
inference(avatar_split_clause,[],[f747,f555,f1054]) ).
fof(f747,plain,
( ~ p202(sK92)
| r1(sK92,sK67(sK92)) ),
inference(resolution,[],[f353,f571]) ).
fof(f353,plain,
! [X0] :
( ~ sP13(X0)
| r1(X0,sK67(X0))
| ~ p202(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f1052,plain,
( ~ spl99_5
| ~ spl99_35 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| ~ spl99_5
| ~ spl99_35 ),
inference(subsumption_resolution,[],[f1050,f583]) ).
fof(f583,plain,
sP21(sK92),
inference(resolution,[],[f566,f254]) ).
fof(f254,plain,
! [X0] :
( ~ sP40(X0)
| sP21(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1050,plain,
( ~ sP21(sK92)
| ~ spl99_5
| ~ spl99_35 ),
inference(subsumption_resolution,[],[f1049,f439]) ).
fof(f1049,plain,
( ~ p503(sK92)
| ~ sP21(sK92)
| ~ spl99_5
| ~ spl99_35 ),
inference(resolution,[],[f1009,f336]) ).
fof(f336,plain,
! [X0] :
( ~ p203(sK59(X0))
| ~ p503(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ p503(X0)
| ( r1(X0,sK59(X0))
& ~ p203(sK59(X0)) )
| ~ sP21(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f124,f125]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
=> ( r1(X0,sK59(X0))
& ~ p203(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ~ p503(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
| ~ sP21(X0) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X12] :
( ~ p503(X12)
| ? [X60] :
( r1(X12,X60)
& ~ p203(X60) )
| ~ sP21(X12) ),
inference(nnf_transformation,[],[f28]) ).
fof(f1009,plain,
( p203(sK59(sK92))
| ~ spl99_5
| ~ spl99_35 ),
inference(resolution,[],[f560,f735]) ).
fof(f735,plain,
( r1(sK92,sK59(sK92))
| ~ spl99_5 ),
inference(subsumption_resolution,[],[f734,f439]) ).
fof(f734,plain,
( r1(sK92,sK59(sK92))
| ~ p503(sK92) ),
inference(resolution,[],[f337,f583]) ).
fof(f337,plain,
! [X0] :
( ~ sP21(X0)
| ~ p503(X0)
| r1(X0,sK59(X0)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f1032,plain,
( ~ spl99_6
| ~ spl99_11
| ~ spl99_50
| ~ spl99_51 ),
inference(avatar_contradiction_clause,[],[f1031]) ).
fof(f1031,plain,
( $false
| ~ spl99_6
| ~ spl99_11
| ~ spl99_50
| ~ spl99_51 ),
inference(subsumption_resolution,[],[f1030,f991]) ).
fof(f991,plain,
( p304(sK77(sK92))
| ~ spl99_6
| ~ spl99_50 ),
inference(resolution,[],[f443,f807]) ).
fof(f807,plain,
( r1(sK92,sK77(sK92))
| ~ spl99_50 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f1030,plain,
( ~ p304(sK77(sK92))
| ~ spl99_11
| ~ spl99_51 ),
inference(subsumption_resolution,[],[f1029,f592]) ).
fof(f1029,plain,
( ~ sP6(sK92)
| ~ p304(sK77(sK92))
| ~ spl99_11
| ~ spl99_51 ),
inference(resolution,[],[f1000,f372]) ).
fof(f372,plain,
! [X0] :
( ~ p104(sK78(X0))
| ~ p304(sK77(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1000,plain,
( p104(sK78(sK92))
| ~ spl99_11
| ~ spl99_51 ),
inference(resolution,[],[f811,f463]) ).
fof(f1024,plain,
( spl99_57
| ~ spl99_6
| ~ spl99_56 ),
inference(avatar_split_clause,[],[f1023,f838,f442,f842]) ).
fof(f1023,plain,
( r1(sK92,sK83(sK92))
| ~ spl99_6
| ~ spl99_56 ),
inference(subsumption_resolution,[],[f1022,f577]) ).
fof(f1022,plain,
( r1(sK92,sK83(sK92))
| ~ sP3(sK92)
| ~ spl99_6
| ~ spl99_56 ),
inference(resolution,[],[f994,f384]) ).
fof(f384,plain,
! [X0] :
( ~ p304(sK84(X0))
| ~ sP3(X0)
| r1(X0,sK83(X0)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1005,plain,
( spl99_63
| ~ spl99_24
| ~ spl99_62 ),
inference(avatar_split_clause,[],[f1004,f877,f515,f881]) ).
fof(f1004,plain,
( r1(sK92,sK90(sK92))
| ~ spl99_24
| ~ spl99_62 ),
inference(subsumption_resolution,[],[f1001,f570]) ).
fof(f1001,plain,
( r1(sK92,sK90(sK92))
| ~ sP0(sK92)
| ~ spl99_24
| ~ spl99_62 ),
inference(resolution,[],[f969,f398]) ).
fof(f398,plain,
! [X0] :
( ~ p205(sK89(X0))
| r1(X0,sK90(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f969,plain,
( p205(sK89(sK92))
| ~ spl99_24
| ~ spl99_62 ),
inference(resolution,[],[f879,f516]) ).
fof(f983,plain,
( spl99_71
| ~ spl99_19 ),
inference(avatar_split_clause,[],[f693,f495,f980]) ).
fof(f693,plain,
( ~ p303(sK92)
| r1(sK92,sK54(sK92)) ),
inference(resolution,[],[f326,f589]) ).
fof(f326,plain,
! [X0] :
( ~ sP26(X0)
| ~ p303(X0)
| r1(X0,sK54(X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f976,plain,
( ~ spl99_5
| ~ spl99_19 ),
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f975,plain,
( $false
| ~ spl99_5
| ~ spl99_19 ),
inference(subsumption_resolution,[],[f974,f497]) ).
fof(f974,plain,
( ~ p303(sK92)
| ~ spl99_5 ),
inference(subsumption_resolution,[],[f616,f439]) ).
fof(f616,plain,
( ~ p303(sK92)
| ~ p503(sK92) ),
inference(resolution,[],[f235,f566]) ).
fof(f235,plain,
! [X0] :
( ~ sP40(X0)
| ~ p503(X0)
| ~ p303(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f973,plain,
( spl99_55
| ~ spl99_22
| ~ spl99_54 ),
inference(avatar_split_clause,[],[f972,f825,f507,f829]) ).
fof(f972,plain,
( r1(sK92,sK81(sK92))
| ~ spl99_22
| ~ spl99_54 ),
inference(subsumption_resolution,[],[f971,f580]) ).
fof(f971,plain,
( r1(sK92,sK81(sK92))
| ~ sP4(sK92)
| ~ spl99_22
| ~ spl99_54 ),
inference(resolution,[],[f956,f382]) ).
fof(f382,plain,
! [X0] :
( ~ p305(sK82(X0))
| ~ sP4(X0)
| r1(X0,sK81(X0)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f956,plain,
( p305(sK82(sK92))
| ~ spl99_22
| ~ spl99_54 ),
inference(resolution,[],[f827,f508]) ).
fof(f938,plain,
( ~ spl99_16
| spl99_70 ),
inference(avatar_split_clause,[],[f744,f935,f482]) ).
fof(f744,plain,
( r1(sK92,sK64(sK92))
| ~ p605(sK92) ),
inference(resolution,[],[f346,f576]) ).
fof(f346,plain,
! [X0] :
( ~ sP16(X0)
| r1(X0,sK64(X0))
| ~ p605(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f933,plain,
( spl99_69
| ~ spl99_16 ),
inference(avatar_split_clause,[],[f680,f482,f930]) ).
fof(f680,plain,
( ~ p605(sK92)
| r1(sK92,sK50(sK92)) ),
inference(resolution,[],[f318,f595]) ).
fof(f318,plain,
! [X0] :
( ~ sP30(X0)
| ~ p605(X0)
| r1(X0,sK50(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f928,plain,
( ~ spl99_20
| ~ spl99_12 ),
inference(avatar_split_clause,[],[f652,f466,f499]) ).
fof(f652,plain,
( ~ p601(sK92)
| ~ p301(sK92) ),
inference(resolution,[],[f289,f566]) ).
fof(f289,plain,
! [X0] :
( ~ sP40(X0)
| ~ p301(X0)
| ~ p601(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f925,plain,
( spl99_68
| ~ spl99_15 ),
inference(avatar_split_clause,[],[f662,f478,f922]) ).
fof(f662,plain,
( ~ p604(sK92)
| r1(sK92,sK41(sK92)) ),
inference(resolution,[],[f301,f605]) ).
fof(f301,plain,
! [X0] :
( ~ sP39(X0)
| r1(X0,sK41(X0))
| ~ p604(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f920,plain,
( ~ spl99_16
| spl99_67 ),
inference(avatar_split_clause,[],[f736,f917,f482]) ).
fof(f736,plain,
( r1(sK92,sK60(sK92))
| ~ p605(sK92) ),
inference(resolution,[],[f338,f582]) ).
fof(f338,plain,
! [X0] :
( ~ sP20(X0)
| ~ p605(X0)
| r1(X0,sK60(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f914,plain,
( ~ spl99_14
| ~ spl99_5 ),
inference(avatar_split_clause,[],[f913,f437,f474]) ).
fof(f913,plain,
( ~ p603(sK92)
| ~ spl99_5 ),
inference(subsumption_resolution,[],[f651,f439]) ).
fof(f651,plain,
( ~ p603(sK92)
| ~ p503(sK92) ),
inference(resolution,[],[f288,f566]) ).
fof(f288,plain,
! [X0] :
( ~ sP40(X0)
| ~ p503(X0)
| ~ p603(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f912,plain,
( spl99_66
| ~ spl99_14 ),
inference(avatar_split_clause,[],[f745,f474,f909]) ).
fof(f745,plain,
( ~ p603(sK92)
| r1(sK92,sK65(sK92)) ),
inference(resolution,[],[f348,f574]) ).
fof(f348,plain,
! [X0] :
( ~ sP15(X0)
| ~ p603(X0)
| r1(X0,sK65(X0)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f907,plain,
( spl99_65
| ~ spl99_15 ),
inference(avatar_split_clause,[],[f678,f478,f904]) ).
fof(f678,plain,
( ~ p604(sK92)
| r1(sK92,sK48(sK92)) ),
inference(resolution,[],[f314,f597]) ).
fof(f314,plain,
! [X0] :
( ~ sP32(X0)
| ~ p604(X0)
| r1(X0,sK48(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f902,plain,
( spl99_64
| ~ spl99_15 ),
inference(avatar_split_clause,[],[f741,f478,f899]) ).
fof(f741,plain,
( ~ p604(sK92)
| r1(sK92,sK61(sK92)) ),
inference(resolution,[],[f341,f581]) ).
fof(f341,plain,
! [X0] :
( ~ sP19(X0)
| r1(X0,sK61(X0))
| ~ p604(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f890,plain,
( spl99_51
| ~ spl99_6
| ~ spl99_50 ),
inference(avatar_split_clause,[],[f889,f805,f442,f809]) ).
fof(f889,plain,
( r1(sK92,sK78(sK92))
| ~ spl99_6
| ~ spl99_50 ),
inference(subsumption_resolution,[],[f888,f592]) ).
fof(f888,plain,
( r1(sK92,sK78(sK92))
| ~ sP6(sK92)
| ~ spl99_6
| ~ spl99_50 ),
inference(resolution,[],[f887,f373]) ).
fof(f373,plain,
! [X0] :
( ~ p304(sK77(X0))
| ~ sP6(X0)
| r1(X0,sK78(X0)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f887,plain,
( p304(sK77(sK92))
| ~ spl99_6
| ~ spl99_50 ),
inference(resolution,[],[f807,f443]) ).
fof(f884,plain,
( spl99_62
| spl99_63 ),
inference(avatar_split_clause,[],[f875,f881,f877]) ).
fof(f875,plain,
( r1(sK92,sK90(sK92))
| r1(sK92,sK89(sK92)) ),
inference(resolution,[],[f396,f570]) ).
fof(f396,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK89(X0))
| r1(X0,sK90(X0)) ),
inference(cnf_transformation,[],[f220]) ).
fof(f874,plain,
( spl99_60
| spl99_61 ),
inference(avatar_split_clause,[],[f865,f871,f867]) ).
fof(f865,plain,
( r1(sK92,sK87(sK92))
| r1(sK92,sK88(sK92)) ),
inference(resolution,[],[f393,f573]) ).
fof(f393,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK88(X0))
| r1(X0,sK87(X0)) ),
inference(cnf_transformation,[],[f215]) ).
fof(f864,plain,
( spl99_58
| spl99_59 ),
inference(avatar_split_clause,[],[f855,f861,f857]) ).
fof(f855,plain,
( r1(sK92,sK85(sK92))
| r1(sK92,sK86(sK92)) ),
inference(resolution,[],[f388,f575]) ).
fof(f388,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK85(X0))
| r1(X0,sK86(X0)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f848,plain,
( spl99_49
| ~ spl99_18
| ~ spl99_48 ),
inference(avatar_split_clause,[],[f847,f781,f491,f785]) ).
fof(f847,plain,
( r1(sK92,sK76(sK92))
| ~ spl99_18
| ~ spl99_48 ),
inference(subsumption_resolution,[],[f846,f594]) ).
fof(f846,plain,
( ~ sP7(sK92)
| r1(sK92,sK76(sK92))
| ~ spl99_18
| ~ spl99_48 ),
inference(resolution,[],[f834,f368]) ).
fof(f368,plain,
! [X0] :
( ~ p204(sK75(X0))
| ~ sP7(X0)
| r1(X0,sK76(X0)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f834,plain,
( p204(sK75(sK92))
| ~ spl99_18
| ~ spl99_48 ),
inference(resolution,[],[f783,f492]) ).
fof(f845,plain,
( spl99_56
| spl99_57 ),
inference(avatar_split_clause,[],[f836,f842,f838]) ).
fof(f836,plain,
( r1(sK92,sK83(sK92))
| r1(sK92,sK84(sK92)) ),
inference(resolution,[],[f385,f577]) ).
fof(f385,plain,
! [X0] :
( ~ sP3(X0)
| r1(X0,sK83(X0))
| r1(X0,sK84(X0)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f832,plain,
( spl99_54
| spl99_55 ),
inference(avatar_split_clause,[],[f823,f829,f825]) ).
fof(f823,plain,
( r1(sK92,sK81(sK92))
| r1(sK92,sK82(sK92)) ),
inference(resolution,[],[f383,f580]) ).
fof(f383,plain,
! [X0] :
( ~ sP4(X0)
| r1(X0,sK81(X0))
| r1(X0,sK82(X0)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f822,plain,
( spl99_52
| spl99_53 ),
inference(avatar_split_clause,[],[f813,f819,f815]) ).
fof(f813,plain,
( r1(sK92,sK80(sK92))
| r1(sK92,sK79(sK92)) ),
inference(resolution,[],[f378,f585]) ).
fof(f378,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK80(X0))
| r1(X0,sK79(X0)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f812,plain,
( spl99_50
| spl99_51 ),
inference(avatar_split_clause,[],[f803,f809,f805]) ).
fof(f803,plain,
( r1(sK92,sK78(sK92))
| r1(sK92,sK77(sK92)) ),
inference(resolution,[],[f375,f592]) ).
fof(f375,plain,
! [X0] :
( ~ sP6(X0)
| r1(X0,sK78(X0))
| r1(X0,sK77(X0)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f795,plain,
( ~ spl99_9
| ~ spl99_30 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| ~ spl99_9
| ~ spl99_30 ),
inference(subsumption_resolution,[],[f793,f588]) ).
fof(f588,plain,
sP25(sK92),
inference(resolution,[],[f566,f265]) ).
fof(f265,plain,
! [X0] :
( ~ sP40(X0)
| sP25(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f793,plain,
( ~ sP25(sK92)
| ~ spl99_9
| ~ spl99_30 ),
inference(subsumption_resolution,[],[f792,f541]) ).
fof(f792,plain,
( ~ p402(sK92)
| ~ sP25(sK92)
| ~ spl99_9
| ~ spl99_30 ),
inference(resolution,[],[f790,f329]) ).
fof(f329,plain,
! [X0] :
( ~ p102(sK55(X0))
| ~ sP25(X0)
| ~ p402(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ p402(X0)
| ( ~ p102(sK55(X0))
& r1(X0,sK55(X0)) )
| ~ sP25(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f108,f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK55(X0))
& r1(X0,sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ~ p402(X0)
| ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ sP25(X0) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X12] :
( ~ p402(X12)
| ? [X40] :
( ~ p102(X40)
& r1(X12,X40) )
| ~ sP25(X12) ),
inference(nnf_transformation,[],[f32]) ).
fof(f790,plain,
( p102(sK55(sK92))
| ~ spl99_9
| ~ spl99_30 ),
inference(resolution,[],[f768,f455]) ).
fof(f768,plain,
( r1(sK92,sK55(sK92))
| ~ spl99_30 ),
inference(subsumption_resolution,[],[f694,f541]) ).
fof(f694,plain,
( ~ p402(sK92)
| r1(sK92,sK55(sK92)) ),
inference(resolution,[],[f328,f588]) ).
fof(f328,plain,
! [X0] :
( ~ sP25(X0)
| r1(X0,sK55(X0))
| ~ p402(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f788,plain,
( spl99_48
| spl99_49 ),
inference(avatar_split_clause,[],[f779,f785,f781]) ).
fof(f779,plain,
( r1(sK92,sK76(sK92))
| r1(sK92,sK75(sK92)) ),
inference(resolution,[],[f370,f594]) ).
fof(f370,plain,
! [X0] :
( ~ sP7(X0)
| r1(X0,sK76(X0))
| r1(X0,sK75(X0)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f778,plain,
( spl99_46
| spl99_47 ),
inference(avatar_split_clause,[],[f769,f775,f771]) ).
fof(f769,plain,
( r1(sK92,sK74(sK92))
| r1(sK92,sK73(sK92)) ),
inference(resolution,[],[f365,f600]) ).
fof(f365,plain,
! [X0] :
( ~ sP8(X0)
| r1(X0,sK74(X0))
| r1(X0,sK73(X0)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f767,plain,
( spl99_45
| ~ spl99_32
| ~ spl99_44 ),
inference(avatar_split_clause,[],[f766,f753,f547,f757]) ).
fof(f766,plain,
( r1(sK92,sK72(sK92))
| ~ spl99_32
| ~ spl99_44 ),
inference(subsumption_resolution,[],[f765,f606]) ).
fof(f765,plain,
( r1(sK92,sK72(sK92))
| ~ sP9(sK92)
| ~ spl99_32
| ~ spl99_44 ),
inference(resolution,[],[f761,f361]) ).
fof(f361,plain,
! [X0] :
( ~ p405(sK71(X0))
| ~ sP9(X0)
| r1(X0,sK72(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f761,plain,
( p405(sK71(sK92))
| ~ spl99_32
| ~ spl99_44 ),
inference(resolution,[],[f755,f548]) ).
fof(f760,plain,
( spl99_44
| spl99_45 ),
inference(avatar_split_clause,[],[f751,f757,f753]) ).
fof(f751,plain,
( r1(sK92,sK72(sK92))
| r1(sK92,sK71(sK92)) ),
inference(resolution,[],[f363,f606]) ).
fof(f363,plain,
! [X0] :
( ~ sP9(X0)
| r1(X0,sK71(X0))
| r1(X0,sK72(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f726,plain,
( ~ spl99_29
| spl99_43 ),
inference(avatar_split_clause,[],[f666,f723,f535]) ).
fof(f666,plain,
( r1(sK92,sK45(sK92))
| ~ p403(sK92) ),
inference(resolution,[],[f309,f601]) ).
fof(f309,plain,
! [X0] :
( ~ sP35(X0)
| r1(X0,sK45(X0))
| ~ p403(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f719,plain,
( spl99_42
| ~ spl99_3 ),
inference(avatar_split_clause,[],[f692,f429,f716]) ).
fof(f692,plain,
( ~ p504(sK92)
| r1(sK92,sK53(sK92)) ),
inference(resolution,[],[f324,f590]) ).
fof(f324,plain,
! [X0] :
( ~ sP27(X0)
| r1(X0,sK53(X0))
| ~ p504(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f714,plain,
( ~ spl99_3
| spl99_41 ),
inference(avatar_split_clause,[],[f664,f711,f429]) ).
fof(f664,plain,
( r1(sK92,sK43(sK92))
| ~ p504(sK92) ),
inference(resolution,[],[f304,f603]) ).
fof(f304,plain,
! [X0] :
( ~ sP37(X0)
| r1(X0,sK43(X0))
| ~ p504(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f709,plain,
( ~ spl99_1
| spl99_40 ),
inference(avatar_split_clause,[],[f695,f706,f421]) ).
fof(f695,plain,
( r1(sK92,sK56(sK92))
| ~ p505(sK92) ),
inference(resolution,[],[f330,f587]) ).
fof(f330,plain,
! [X0] :
( ~ sP24(X0)
| r1(X0,sK56(X0))
| ~ p505(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f704,plain,
( spl99_39
| ~ spl99_1 ),
inference(avatar_split_clause,[],[f679,f421,f701]) ).
fof(f679,plain,
( ~ p505(sK92)
| r1(sK92,sK49(sK92)) ),
inference(resolution,[],[f317,f596]) ).
fof(f317,plain,
! [X0] :
( ~ sP31(X0)
| r1(X0,sK49(X0))
| ~ p505(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f699,plain,
( ~ spl99_2
| ~ spl99_9 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f698,plain,
( $false
| ~ spl99_2
| ~ spl99_9 ),
inference(subsumption_resolution,[],[f697,f593]) ).
fof(f593,plain,
sP29(sK92),
inference(resolution,[],[f566,f272]) ).
fof(f272,plain,
! [X0] :
( ~ sP40(X0)
| sP29(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f697,plain,
( ~ sP29(sK92)
| ~ spl99_2
| ~ spl99_9 ),
inference(subsumption_resolution,[],[f696,f427]) ).
fof(f427,plain,
( p502(sK92)
| ~ spl99_2 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f696,plain,
( ~ p502(sK92)
| ~ sP29(sK92)
| ~ spl99_2
| ~ spl99_9 ),
inference(resolution,[],[f690,f321]) ).
fof(f321,plain,
! [X0] :
( ~ p102(sK51(X0))
| ~ p502(X0)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( ~ p102(sK51(X0))
& r1(X0,sK51(X0)) )
| ~ p502(X0)
| ~ sP29(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f92,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK51(X0))
& r1(X0,sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p502(X0)
| ~ sP29(X0) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X12] :
( ? [X37] :
( ~ p102(X37)
& r1(X12,X37) )
| ~ p502(X12)
| ~ sP29(X12) ),
inference(nnf_transformation,[],[f36]) ).
fof(f690,plain,
( p102(sK51(sK92))
| ~ spl99_2
| ~ spl99_9 ),
inference(resolution,[],[f682,f455]) ).
fof(f682,plain,
( r1(sK92,sK51(sK92))
| ~ spl99_2 ),
inference(subsumption_resolution,[],[f681,f427]) ).
fof(f681,plain,
( r1(sK92,sK51(sK92))
| ~ p502(sK92) ),
inference(resolution,[],[f320,f593]) ).
fof(f320,plain,
! [X0] :
( ~ sP29(X0)
| r1(X0,sK51(X0))
| ~ p502(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f688,plain,
( ~ spl99_31
| spl99_38 ),
inference(avatar_split_clause,[],[f683,f685,f543]) ).
fof(f683,plain,
( r1(sK92,sK52(sK92))
| ~ p404(sK92) ),
inference(resolution,[],[f323,f591]) ).
fof(f323,plain,
! [X0] :
( ~ sP28(X0)
| ~ p404(X0)
| r1(X0,sK52(X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f677,plain,
( spl99_37
| ~ spl99_16 ),
inference(avatar_split_clause,[],[f672,f482,f674]) ).
fof(f672,plain,
( ~ p605(sK92)
| r1(sK92,sK47(sK92)) ),
inference(resolution,[],[f312,f598]) ).
fof(f312,plain,
! [X0] :
( ~ sP33(X0)
| ~ p605(X0)
| r1(X0,sK47(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f661,plain,
( ~ spl99_3
| ~ spl99_31 ),
inference(avatar_split_clause,[],[f660,f543,f429]) ).
fof(f660,plain,
( ~ p404(sK92)
| ~ p504(sK92) ),
inference(resolution,[],[f295,f566]) ).
fof(f295,plain,
! [X0] :
( ~ sP40(X0)
| ~ p504(X0)
| ~ p404(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f654,plain,
( ~ spl99_1
| ~ spl99_16 ),
inference(avatar_split_clause,[],[f653,f482,f421]) ).
fof(f653,plain,
( ~ p605(sK92)
| ~ p505(sK92) ),
inference(resolution,[],[f290,f566]) ).
fof(f290,plain,
! [X0] :
( ~ sP40(X0)
| ~ p605(X0)
| ~ p505(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f641,plain,
( ~ spl99_12
| ~ spl99_28 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl99_12
| ~ spl99_28 ),
inference(subsumption_resolution,[],[f639,f468]) ).
fof(f639,plain,
( ~ p601(sK92)
| ~ spl99_28 ),
inference(subsumption_resolution,[],[f638,f533]) ).
fof(f638,plain,
( ~ p601(sK92)
| ~ p401(sK92) ),
inference(resolution,[],[f264,f566]) ).
fof(f264,plain,
! [X0] :
( ~ sP40(X0)
| ~ p401(X0)
| ~ p601(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f634,plain,
( ~ spl99_5
| ~ spl99_29 ),
inference(avatar_split_clause,[],[f633,f535,f437]) ).
fof(f633,plain,
( ~ p403(sK92)
| ~ p503(sK92) ),
inference(resolution,[],[f259,f566]) ).
fof(f259,plain,
! [X0] :
( ~ sP40(X0)
| ~ p503(X0)
| ~ p403(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f631,plain,
( ~ spl99_13
| ~ spl99_30 ),
inference(avatar_split_clause,[],[f630,f539,f470]) ).
fof(f630,plain,
( ~ p402(sK92)
| ~ p602(sK92) ),
inference(resolution,[],[f257,f566]) ).
fof(f257,plain,
! [X0] :
( ~ sP40(X0)
| ~ p402(X0)
| ~ p602(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f627,plain,
( ~ spl99_36
| ~ spl99_4 ),
inference(avatar_split_clause,[],[f626,f433,f562]) ).
fof(f626,plain,
( ~ p501(sK92)
| ~ p201(sK92) ),
inference(resolution,[],[f245,f566]) ).
fof(f245,plain,
! [X0] :
( ~ sP40(X0)
| ~ p501(X0)
| ~ p201(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f623,plain,
( ~ spl99_27
| ~ spl99_36 ),
inference(avatar_split_clause,[],[f622,f562,f526]) ).
fof(f622,plain,
( ~ p201(sK92)
| ~ p101(sK92) ),
inference(resolution,[],[f239,f566]) ).
fof(f239,plain,
! [X0] :
( ~ sP40(X0)
| ~ p101(X0)
| ~ p201(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f621,plain,
( ~ spl99_27
| ~ spl99_20 ),
inference(avatar_split_clause,[],[f620,f499,f526]) ).
fof(f620,plain,
( ~ p301(sK92)
| ~ p101(sK92) ),
inference(resolution,[],[f237,f566]) ).
fof(f237,plain,
! [X0] :
( ~ sP40(X0)
| ~ p101(X0)
| ~ p301(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f619,plain,
( ~ spl99_34
| ~ spl99_2 ),
inference(avatar_split_clause,[],[f618,f425,f555]) ).
fof(f618,plain,
( ~ p202(sK92)
| ~ spl99_2 ),
inference(subsumption_resolution,[],[f617,f427]) ).
fof(f617,plain,
( ~ p502(sK92)
| ~ p202(sK92) ),
inference(resolution,[],[f236,f566]) ).
fof(f236,plain,
! [X0] :
( ~ sP40(X0)
| ~ p202(X0)
| ~ p502(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f615,plain,
( ~ spl99_31
| ~ spl99_15 ),
inference(avatar_split_clause,[],[f614,f478,f543]) ).
fof(f614,plain,
( ~ p604(sK92)
| ~ p404(sK92) ),
inference(resolution,[],[f233,f566]) ).
fof(f233,plain,
! [X0] :
( ~ sP40(X0)
| ~ p604(X0)
| ~ p404(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f612,plain,
( ~ spl99_34
| ~ spl99_21 ),
inference(avatar_split_clause,[],[f611,f503,f555]) ).
fof(f611,plain,
( ~ p302(sK92)
| ~ p202(sK92) ),
inference(resolution,[],[f227,f566]) ).
fof(f227,plain,
! [X0] :
( ~ sP40(X0)
| ~ p202(X0)
| ~ p302(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f610,plain,
( ~ spl99_29
| ~ spl99_19 ),
inference(avatar_split_clause,[],[f609,f495,f535]) ).
fof(f609,plain,
( ~ p303(sK92)
| ~ p403(sK92) ),
inference(resolution,[],[f226,f566]) ).
fof(f226,plain,
! [X0] :
( ~ sP40(X0)
| ~ p403(X0)
| ~ p303(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f608,plain,
( ~ spl99_19
| ~ spl99_14 ),
inference(avatar_split_clause,[],[f607,f474,f495]) ).
fof(f607,plain,
( ~ p603(sK92)
| ~ p303(sK92) ),
inference(resolution,[],[f225,f566]) ).
fof(f225,plain,
! [X0] :
( ~ sP40(X0)
| ~ p603(X0)
| ~ p303(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f565,plain,
( spl99_34
| spl99_35
| spl99_36
| ~ spl99_23
| ~ spl99_17 ),
inference(avatar_split_clause,[],[f411,f487,f511,f562,f559,f555]) ).
fof(f511,plain,
( spl99_23
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl99_23])]) ).
fof(f487,plain,
( spl99_17
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl99_17])]) ).
fof(f411,plain,
! [X5] :
( ~ sP93
| ~ sP94
| p201(sK92)
| ~ r1(sK92,X5)
| p203(X5)
| p202(sK92) ),
inference(general_splitting,[],[f409,f410_D]) ).
fof(f410,plain,
! [X4] :
( ~ r1(sK92,X4)
| sP94
| p205(X4) ),
inference(cnf_transformation,[],[f410_D]) ).
fof(f410_D,plain,
( ! [X4] :
( ~ r1(sK92,X4)
| p205(X4) )
<=> ~ sP94 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP94])]) ).
fof(f409,plain,
! [X4,X5] :
( ~ r1(sK92,X4)
| p205(X4)
| p202(sK92)
| p203(X5)
| ~ r1(sK92,X5)
| p201(sK92)
| ~ sP93 ),
inference(general_splitting,[],[f403,f408_D]) ).
fof(f408,plain,
! [X6] :
( ~ r1(sK92,X6)
| p204(X6)
| sP93 ),
inference(cnf_transformation,[],[f408_D]) ).
fof(f408_D,plain,
( ! [X6] :
( ~ r1(sK92,X6)
| p204(X6) )
<=> ~ sP93 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP93])]) ).
fof(f403,plain,
! [X6,X4,X5] :
( ~ r1(sK92,X4)
| p205(X4)
| p202(sK92)
| p203(X5)
| ~ r1(sK92,X5)
| ~ r1(sK92,X6)
| p204(X6)
| p201(sK92) ),
inference(cnf_transformation,[],[f224]) ).
fof(f553,plain,
( spl99_25
| spl99_33 ),
inference(avatar_split_clause,[],[f414,f551,f519]) ).
fof(f519,plain,
( spl99_25
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl99_25])]) ).
fof(f414,plain,
! [X8] :
( p103(X8)
| ~ r1(sK92,X8)
| sP96 ),
inference(cnf_transformation,[],[f414_D]) ).
fof(f414_D,plain,
( ! [X8] :
( p103(X8)
| ~ r1(sK92,X8) )
<=> ~ sP96 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP96])]) ).
fof(f549,plain,
( spl99_28
| spl99_29
| spl99_30
| spl99_31
| spl99_32 ),
inference(avatar_split_clause,[],[f406,f547,f543,f539,f535,f531]) ).
fof(f406,plain,
! [X3] :
( ~ r1(sK92,X3)
| p405(X3)
| p404(sK92)
| p402(sK92)
| p403(sK92)
| p401(sK92) ),
inference(cnf_transformation,[],[f224]) ).
fof(f529,plain,
( ~ spl99_8
| ~ spl99_25
| ~ spl99_10
| spl99_26
| spl99_27 ),
inference(avatar_split_clause,[],[f417,f526,f523,f458,f519,f450]) ).
fof(f450,plain,
( spl99_8
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl99_8])]) ).
fof(f458,plain,
( spl99_10
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl99_10])]) ).
fof(f417,plain,
! [X7] :
( p101(sK92)
| ~ r1(sK92,X7)
| ~ sP97
| ~ sP96
| p105(X7)
| ~ sP95 ),
inference(general_splitting,[],[f415,f416_D]) ).
fof(f416,plain,
! [X9] :
( p104(X9)
| ~ r1(sK92,X9)
| sP97 ),
inference(cnf_transformation,[],[f416_D]) ).
fof(f416_D,plain,
( ! [X9] :
( p104(X9)
| ~ r1(sK92,X9) )
<=> ~ sP97 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP97])]) ).
fof(f415,plain,
! [X9,X7] :
( p105(X7)
| ~ r1(sK92,X7)
| p101(sK92)
| p104(X9)
| ~ r1(sK92,X9)
| ~ sP95
| ~ sP96 ),
inference(general_splitting,[],[f413,f414_D]) ).
fof(f413,plain,
! [X8,X9,X7] :
( p105(X7)
| ~ r1(sK92,X7)
| ~ r1(sK92,X8)
| p103(X8)
| p101(sK92)
| p104(X9)
| ~ r1(sK92,X9)
| ~ sP95 ),
inference(general_splitting,[],[f402,f412_D]) ).
fof(f412,plain,
! [X10] :
( ~ r1(sK92,X10)
| sP95
| p102(X10) ),
inference(cnf_transformation,[],[f412_D]) ).
fof(f412_D,plain,
( ! [X10] :
( ~ r1(sK92,X10)
| p102(X10) )
<=> ~ sP95 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP95])]) ).
fof(f402,plain,
! [X10,X8,X9,X7] :
( p105(X7)
| ~ r1(sK92,X7)
| ~ r1(sK92,X8)
| p103(X8)
| p101(sK92)
| p104(X9)
| ~ r1(sK92,X9)
| p102(X10)
| ~ r1(sK92,X10) ),
inference(cnf_transformation,[],[f224]) ).
fof(f517,plain,
( spl99_23
| spl99_24 ),
inference(avatar_split_clause,[],[f410,f515,f511]) ).
fof(f509,plain,
( spl99_19
| spl99_20
| spl99_21
| ~ spl99_7
| spl99_22 ),
inference(avatar_split_clause,[],[f419,f507,f445,f503,f499,f495]) ).
fof(f445,plain,
( spl99_7
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl99_7])]) ).
fof(f419,plain,
! [X12] :
( p305(X12)
| ~ sP98
| ~ r1(sK92,X12)
| p302(sK92)
| p301(sK92)
| p303(sK92) ),
inference(general_splitting,[],[f401,f418_D]) ).
fof(f418,plain,
! [X11] :
( sP98
| ~ r1(sK92,X11)
| p304(X11) ),
inference(cnf_transformation,[],[f418_D]) ).
fof(f418_D,plain,
( ! [X11] :
( ~ r1(sK92,X11)
| p304(X11) )
<=> ~ sP98 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP98])]) ).
fof(f401,plain,
! [X11,X12] :
( p304(X11)
| ~ r1(sK92,X11)
| p303(sK92)
| ~ r1(sK92,X12)
| p305(X12)
| p301(sK92)
| p302(sK92) ),
inference(cnf_transformation,[],[f224]) ).
fof(f493,plain,
( spl99_17
| spl99_18 ),
inference(avatar_split_clause,[],[f408,f491,f487]) ).
fof(f485,plain,
( spl99_12
| spl99_13
| spl99_14
| spl99_15
| spl99_16 ),
inference(avatar_split_clause,[],[f404,f482,f478,f474,f470,f466]) ).
fof(f404,plain,
( p605(sK92)
| p604(sK92)
| p603(sK92)
| p602(sK92)
| p601(sK92) ),
inference(cnf_transformation,[],[f224]) ).
fof(f464,plain,
( spl99_10
| spl99_11 ),
inference(avatar_split_clause,[],[f416,f462,f458]) ).
fof(f456,plain,
( spl99_8
| spl99_9 ),
inference(avatar_split_clause,[],[f412,f454,f450]) ).
fof(f448,plain,
( spl99_6
| spl99_7 ),
inference(avatar_split_clause,[],[f418,f445,f442]) ).
fof(f440,plain,
( spl99_1
| spl99_2
| spl99_3
| spl99_4
| spl99_5 ),
inference(avatar_split_clause,[],[f400,f437,f433,f429,f425,f421]) ).
fof(f400,plain,
( p503(sK92)
| p501(sK92)
| p504(sK92)
| p502(sK92)
| p505(sK92) ),
inference(cnf_transformation,[],[f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL648+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 02:15:22 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.47 % (14872)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.47 % (14885)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.48 % (14869)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.48 % (14862)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 % (14877)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.49 % (14870)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.49 % (14864)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.50 % (14880)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.50 % (14864)Instruction limit reached!
% 0.17/0.50 % (14864)------------------------------
% 0.17/0.50 % (14864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (14864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (14864)Termination reason: Unknown
% 0.17/0.50 % (14864)Termination phase: Naming
% 0.17/0.50
% 0.17/0.50 % (14864)Memory used [KB]: 1023
% 0.17/0.50 % (14864)Time elapsed: 0.004 s
% 0.17/0.50 % (14864)Instructions burned: 3 (million)
% 0.17/0.50 % (14864)------------------------------
% 0.17/0.50 % (14864)------------------------------
% 0.17/0.50 TRYING [1]
% 0.17/0.51 % (14878)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.52 TRYING [2]
% 0.17/0.52 % (14867)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53 % (14868)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.53 % (14866)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.53 % (14861)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.53 % (14859)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53 % (14860)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (14857)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.54 % (14883)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.54 % (14882)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.54 % (14884)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.54 % (14879)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.55 % (14871)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.55 % (14874)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.55 % (14876)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.55 % (14875)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.56 % (14863)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.56 % (14863)Instruction limit reached!
% 0.17/0.56 % (14863)------------------------------
% 0.17/0.56 % (14863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (14863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (14863)Termination reason: Unknown
% 0.17/0.56 % (14863)Termination phase: Saturation
% 0.17/0.56
% 0.17/0.56 % (14863)Memory used [KB]: 5756
% 0.17/0.56 % (14863)Time elapsed: 0.006 s
% 0.17/0.56 % (14863)Instructions burned: 7 (million)
% 0.17/0.56 % (14863)------------------------------
% 0.17/0.56 % (14863)------------------------------
% 0.17/0.56 % (14862)Instruction limit reached!
% 0.17/0.56 % (14862)------------------------------
% 0.17/0.56 % (14862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (14857)Refutation not found, incomplete strategy% (14857)------------------------------
% 0.17/0.56 % (14857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (14857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (14857)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.56
% 0.17/0.56 % (14857)Memory used [KB]: 5884
% 0.17/0.56 % (14857)Time elapsed: 0.167 s
% 0.17/0.56 % (14857)Instructions burned: 10 (million)
% 0.17/0.56 % (14857)------------------------------
% 0.17/0.56 % (14857)------------------------------
% 0.17/0.56 % (14862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (14862)Termination reason: Unknown
% 0.17/0.56 % (14862)Termination phase: Finite model building constraint generation
% 0.17/0.56
% 0.17/0.56 % (14862)Memory used [KB]: 6396
% 0.17/0.56 % (14862)Time elapsed: 0.152 s
% 0.17/0.56 % (14862)Instructions burned: 51 (million)
% 0.17/0.56 % (14862)------------------------------
% 0.17/0.56 % (14862)------------------------------
% 0.17/0.59 % (14877)First to succeed.
% 0.17/0.60 % (14870)Instruction limit reached!
% 0.17/0.60 % (14870)------------------------------
% 0.17/0.60 % (14870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.60 % (14870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.60 % (14870)Termination reason: Unknown
% 0.17/0.60 % (14870)Termination phase: Saturation
% 0.17/0.60
% 0.17/0.60 % (14870)Memory used [KB]: 6652
% 0.17/0.60 % (14870)Time elapsed: 0.061 s
% 0.17/0.60 % (14870)Instructions burned: 68 (million)
% 0.17/0.60 % (14870)------------------------------
% 0.17/0.60 % (14870)------------------------------
% 2.18/0.62 % (14881)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.18/0.62 % (14865)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.18/0.63 % (14873)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.18/0.64 % (14877)Refutation found. Thanks to Tanya!
% 2.18/0.64 % SZS status Theorem for theBenchmark
% 2.18/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.64 % (14877)------------------------------
% 2.40/0.64 % (14877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.64 % (14877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.64 % (14877)Termination reason: Refutation
% 2.40/0.64
% 2.40/0.64 % (14877)Memory used [KB]: 6908
% 2.40/0.64 % (14877)Time elapsed: 0.228 s
% 2.40/0.64 % (14877)Instructions burned: 52 (million)
% 2.40/0.64 % (14877)------------------------------
% 2.40/0.64 % (14877)------------------------------
% 2.40/0.64 % (14855)Success in time 0.309 s
%------------------------------------------------------------------------------