TSTP Solution File: LCL674+1.020 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL674+1.020 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 : Mon Jun 24 11:32:13 EDT 2024
% Result : Theorem 2.08s 0.69s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 108
% Syntax : Number of formulae : 358 ( 13 unt; 0 def)
% Number of atoms : 4308 ( 0 equ)
% Maximal formula atoms : 436 ( 12 avg)
% Number of connectives : 6847 (2897 ~;2049 |;1857 &)
% ( 28 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 81 ( 7 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 135 ( 134 usr; 29 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 826 ( 655 !; 171 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4335,plain,
$false,
inference(avatar_sat_refutation,[],[f928,f1247,f1254,f1259,f1464,f1472,f1490,f1499,f1727,f1782,f1807,f1925,f1933,f2164,f2217,f2425,f2433,f2460,f2702,f2749,f3087,f3095,f3116,f3366,f3413,f3868,f3871,f4116,f4334]) ).
fof(f4334,plain,
( ~ spl103_271
| ~ spl103_298 ),
inference(avatar_contradiction_clause,[],[f4333]) ).
fof(f4333,plain,
( $false
| ~ spl103_271
| ~ spl103_298 ),
inference(subsumption_resolution,[],[f4332,f3399]) ).
fof(f3399,plain,
( sP13(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_271 ),
inference(avatar_component_clause,[],[f3397]) ).
fof(f3397,plain,
( spl103_271
<=> sP13(sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_271])]) ).
fof(f4332,plain,
( ~ sP13(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_298 ),
inference(resolution,[],[f3867,f510]) ).
fof(f510,plain,
! [X0] :
( ~ p8(sK88(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ( p107(sK88(X0))
& ~ p108(sK88(X0))
& ~ p8(sK88(X0))
& r1(X0,sK88(X0)) )
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK88])],[f223,f224]) ).
fof(f224,plain,
! [X0] :
( ? [X1] :
( p107(X1)
& ~ p108(X1)
& ~ p8(X1)
& r1(X0,X1) )
=> ( p107(sK88(X0))
& ~ p108(sK88(X0))
& ~ p8(sK88(X0))
& r1(X0,sK88(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X0] :
( ? [X1] :
( p107(X1)
& ~ p108(X1)
& ~ p8(X1)
& r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f222]) ).
fof(f222,plain,
! [X1] :
( ? [X57] :
( p107(X57)
& ~ p108(X57)
& ~ p8(X57)
& r1(X1,X57) )
| ~ sP13(X1) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1] :
( ? [X57] :
( p107(X57)
& ~ p108(X57)
& ~ p8(X57)
& r1(X1,X57) )
| ~ sP13(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f3867,plain,
( p8(sK88(sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))))
| ~ spl103_298 ),
inference(avatar_component_clause,[],[f3865]) ).
fof(f3865,plain,
( spl103_298
<=> p8(sK88(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_298])]) ).
fof(f4116,plain,
( ~ spl103_219
| ~ spl103_262 ),
inference(avatar_contradiction_clause,[],[f4115]) ).
fof(f4115,plain,
( $false
| ~ spl103_219
| ~ spl103_262 ),
inference(subsumption_resolution,[],[f4114,f2735]) ).
fof(f2735,plain,
( sP14(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_219 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f2733,plain,
( spl103_219
<=> sP14(sK86(sK85(sK84(sK83(sK82(sK102)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_219])]) ).
fof(f4114,plain,
( ~ sP14(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_262 ),
inference(resolution,[],[f3252,f507]) ).
fof(f507,plain,
! [X0] :
( ~ p107(sK87(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ( p106(sK87(X0))
& ~ p107(sK87(X0))
& ~ p7(sK87(X0))
& r1(X0,sK87(X0)) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87])],[f219,f220]) ).
fof(f220,plain,
! [X0] :
( ? [X1] :
( p106(X1)
& ~ p107(X1)
& ~ p7(X1)
& r1(X0,X1) )
=> ( p106(sK87(X0))
& ~ p107(sK87(X0))
& ~ p7(sK87(X0))
& r1(X0,sK87(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0] :
( ? [X1] :
( p106(X1)
& ~ p107(X1)
& ~ p7(X1)
& r1(X0,X1) )
| ~ sP14(X0) ),
inference(rectify,[],[f218]) ).
fof(f218,plain,
! [X1] :
( ? [X55] :
( p106(X55)
& ~ p107(X55)
& ~ p7(X55)
& r1(X1,X55) )
| ~ sP14(X1) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1] :
( ? [X55] :
( p106(X55)
& ~ p107(X55)
& ~ p7(X55)
& r1(X1,X55) )
| ~ sP14(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f3252,plain,
( p107(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_262 ),
inference(avatar_component_clause,[],[f3250]) ).
fof(f3250,plain,
( spl103_262
<=> p107(sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_262])]) ).
fof(f3871,plain,
( ~ spl103_219
| ~ spl103_244
| spl103_297 ),
inference(avatar_contradiction_clause,[],[f3870]) ).
fof(f3870,plain,
( $false
| ~ spl103_219
| ~ spl103_244
| spl103_297 ),
inference(subsumption_resolution,[],[f3869,f3085]) ).
fof(f3085,plain,
( r1(sK102,sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_244 ),
inference(avatar_component_clause,[],[f3084]) ).
fof(f3084,plain,
( spl103_244
<=> r1(sK102,sK86(sK85(sK84(sK83(sK82(sK102)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_244])]) ).
fof(f3869,plain,
( ~ r1(sK102,sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_219
| spl103_297 ),
inference(resolution,[],[f3862,f3637]) ).
fof(f3637,plain,
( ! [X0] :
( r1(X0,sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ r1(X0,sK86(sK85(sK84(sK83(sK82(sK102)))))) )
| ~ spl103_219 ),
inference(resolution,[],[f3117,f570]) ).
fof(f570,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3117,plain,
( r1(sK86(sK85(sK84(sK83(sK82(sK102))))),sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_219 ),
inference(resolution,[],[f2735,f505]) ).
fof(f505,plain,
! [X0] :
( ~ sP14(X0)
| r1(X0,sK87(X0)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f3862,plain,
( ~ r1(sK102,sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| spl103_297 ),
inference(avatar_component_clause,[],[f3860]) ).
fof(f3860,plain,
( spl103_297
<=> r1(sK102,sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_297])]) ).
fof(f3868,plain,
( spl103_298
| ~ spl103_297
| ~ spl103_271 ),
inference(avatar_split_clause,[],[f3854,f3397,f3860,f3865]) ).
fof(f3854,plain,
( ~ r1(sK102,sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| p8(sK88(sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))))
| ~ spl103_271 ),
inference(resolution,[],[f3725,f565]) ).
fof(f565,plain,
! [X2] :
( ~ r1(sK102,X2)
| p8(X2) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( p100(sK102)
& ~ p101(sK102)
& ! [X1] :
( sP61(X1)
| ~ r1(sK102,X1) )
& ! [X2] :
( p8(X2)
| ~ r1(sK102,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK102])],[f278,f279]) ).
fof(f279,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP61(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( p8(X2)
| ~ r1(X0,X2) ) )
=> ( p100(sK102)
& ~ p101(sK102)
& ! [X1] :
( sP61(X1)
| ~ r1(sK102,X1) )
& ! [X2] :
( p8(X2)
| ~ r1(sK102,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP61(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( p8(X2)
| ~ r1(X0,X2) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP61(X1)
| ~ r1(X0,X1) )
& ! [X84] :
( p8(X84)
| ~ r1(X0,X84) ) ),
inference(definition_folding,[],[f8,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,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]) ).
fof(f11,plain,
! [X1] :
( ? [X83] :
( p120(X83)
& ~ p121(X83)
& ~ p21(X83)
& r1(X1,X83) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
! [X1] :
( ? [X81] :
( p119(X81)
& ~ p120(X81)
& ~ p20(X81)
& r1(X1,X81) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f13,plain,
! [X1] :
( ? [X79] :
( p118(X79)
& ~ p119(X79)
& ~ p19(X79)
& r1(X1,X79) )
| ~ sP2(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X1] :
( ? [X77] :
( p117(X77)
& ~ p118(X77)
& ~ p18(X77)
& r1(X1,X77) )
| ~ sP3(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f15,plain,
! [X1] :
( ? [X75] :
( p116(X75)
& ~ p117(X75)
& ~ p17(X75)
& r1(X1,X75) )
| ~ sP4(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f16,plain,
! [X1] :
( ? [X73] :
( p115(X73)
& ~ p116(X73)
& ~ p16(X73)
& r1(X1,X73) )
| ~ sP5(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f17,plain,
! [X1] :
( ? [X71] :
( p114(X71)
& ~ p115(X71)
& ~ p15(X71)
& r1(X1,X71) )
| ~ sP6(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
! [X1] :
( ? [X69] :
( p113(X69)
& ~ p114(X69)
& ~ p14(X69)
& r1(X1,X69) )
| ~ sP7(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f19,plain,
! [X1] :
( ? [X67] :
( p112(X67)
& ~ p113(X67)
& ~ p13(X67)
& r1(X1,X67) )
| ~ sP8(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f20,plain,
! [X1] :
( ? [X65] :
( p111(X65)
& ~ p112(X65)
& ~ p12(X65)
& r1(X1,X65) )
| ~ sP9(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f21,plain,
! [X1] :
( ? [X63] :
( p110(X63)
& ~ p111(X63)
& ~ p11(X63)
& r1(X1,X63) )
| ~ sP10(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f22,plain,
! [X1] :
( ? [X61] :
( p109(X61)
& ~ p110(X61)
& ~ p10(X61)
& r1(X1,X61) )
| ~ sP11(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f23,plain,
! [X1] :
( ? [X59] :
( p108(X59)
& ~ p109(X59)
& ~ p9(X59)
& r1(X1,X59) )
| ~ sP12(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f26,plain,
! [X1] :
( ? [X53] :
( p105(X53)
& ~ p106(X53)
& ~ p6(X53)
& r1(X1,X53) )
| ~ sP15(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f27,plain,
! [X1] :
( ? [X51] :
( p104(X51)
& ~ p105(X51)
& ~ p5(X51)
& r1(X1,X51) )
| ~ sP16(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f28,plain,
! [X1] :
( ? [X49] :
( p103(X49)
& ~ p104(X49)
& ~ p4(X49)
& r1(X1,X49) )
| ~ sP17(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f29,plain,
! [X1] :
( ? [X47] :
( p102(X47)
& ~ p103(X47)
& ~ p3(X47)
& r1(X1,X47) )
| ~ sP18(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f30,plain,
! [X1] :
( ? [X45] :
( p101(X45)
& ~ p102(X45)
& ~ p2(X45)
& r1(X1,X45) )
| ~ sP19(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f31,plain,
! [X1] :
( ~ p119(X1)
| p120(X1)
| ( ? [X82] :
( p120(X82)
& ~ p121(X82)
& p21(X82)
& r1(X1,X82) )
& sP0(X1) )
| ~ sP20(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f32,plain,
! [X1] :
( ~ p118(X1)
| p119(X1)
| ( ? [X80] :
( p119(X80)
& ~ p120(X80)
& p20(X80)
& r1(X1,X80) )
& sP1(X1) )
| ~ sP21(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f33,plain,
! [X1] :
( ~ p117(X1)
| p118(X1)
| ( ? [X78] :
( p118(X78)
& ~ p119(X78)
& p19(X78)
& r1(X1,X78) )
& sP2(X1) )
| ~ sP22(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f34,plain,
! [X1] :
( ~ p116(X1)
| p117(X1)
| ( ? [X76] :
( p117(X76)
& ~ p118(X76)
& p18(X76)
& r1(X1,X76) )
& sP3(X1) )
| ~ sP23(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f35,plain,
! [X1] :
( ~ p115(X1)
| p116(X1)
| ( ? [X74] :
( p116(X74)
& ~ p117(X74)
& p17(X74)
& r1(X1,X74) )
& sP4(X1) )
| ~ sP24(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f36,plain,
! [X1] :
( ~ p114(X1)
| p115(X1)
| ( ? [X72] :
( p115(X72)
& ~ p116(X72)
& p16(X72)
& r1(X1,X72) )
& sP5(X1) )
| ~ sP25(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f37,plain,
! [X1] :
( ~ p113(X1)
| p114(X1)
| ( ? [X70] :
( p114(X70)
& ~ p115(X70)
& p15(X70)
& r1(X1,X70) )
& sP6(X1) )
| ~ sP26(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f38,plain,
! [X1] :
( ~ p112(X1)
| p113(X1)
| ( ? [X68] :
( p113(X68)
& ~ p114(X68)
& p14(X68)
& r1(X1,X68) )
& sP7(X1) )
| ~ sP27(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f39,plain,
! [X1] :
( ~ p111(X1)
| p112(X1)
| ( ? [X66] :
( p112(X66)
& ~ p113(X66)
& p13(X66)
& r1(X1,X66) )
& sP8(X1) )
| ~ sP28(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f40,plain,
! [X1] :
( ~ p110(X1)
| p111(X1)
| ( ? [X64] :
( p111(X64)
& ~ p112(X64)
& p12(X64)
& r1(X1,X64) )
& sP9(X1) )
| ~ sP29(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f41,plain,
! [X1] :
( ~ p109(X1)
| p110(X1)
| ( ? [X62] :
( p110(X62)
& ~ p111(X62)
& p11(X62)
& r1(X1,X62) )
& sP10(X1) )
| ~ sP30(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f42,plain,
! [X1] :
( ~ p108(X1)
| p109(X1)
| ( ? [X60] :
( p109(X60)
& ~ p110(X60)
& p10(X60)
& r1(X1,X60) )
& sP11(X1) )
| ~ sP31(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f43,plain,
! [X1] :
( ~ p107(X1)
| p108(X1)
| ( ? [X58] :
( p108(X58)
& ~ p109(X58)
& p9(X58)
& r1(X1,X58) )
& sP12(X1) )
| ~ sP32(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f44,plain,
! [X1] :
( ~ p106(X1)
| p107(X1)
| ( ? [X56] :
( p107(X56)
& ~ p108(X56)
& p8(X56)
& r1(X1,X56) )
& sP13(X1) )
| ~ sP33(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f45,plain,
! [X1] :
( ~ p105(X1)
| p106(X1)
| ( ? [X54] :
( p106(X54)
& ~ p107(X54)
& p7(X54)
& r1(X1,X54) )
& sP14(X1) )
| ~ sP34(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f46,plain,
! [X1] :
( ~ p104(X1)
| p105(X1)
| ( ? [X52] :
( p105(X52)
& ~ p106(X52)
& p6(X52)
& r1(X1,X52) )
& sP15(X1) )
| ~ sP35(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f47,plain,
! [X1] :
( ~ p103(X1)
| p104(X1)
| ( ? [X50] :
( p104(X50)
& ~ p105(X50)
& p5(X50)
& r1(X1,X50) )
& sP16(X1) )
| ~ sP36(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f48,plain,
! [X1] :
( ~ p102(X1)
| p103(X1)
| ( ? [X48] :
( p103(X48)
& ~ p104(X48)
& p4(X48)
& r1(X1,X48) )
& sP17(X1) )
| ~ sP37(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f49,plain,
! [X1] :
( ~ p101(X1)
| p102(X1)
| ( ? [X46] :
( p102(X46)
& ~ p103(X46)
& p3(X46)
& r1(X1,X46) )
& sP18(X1) )
| ~ sP38(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f50,plain,
! [X1] :
( ~ p100(X1)
| p101(X1)
| ( ? [X44] :
( p101(X44)
& ~ p102(X44)
& p2(X44)
& r1(X1,X44) )
& sP19(X1) )
| ~ sP39(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f51,plain,
! [X1] :
( ~ p120(X1)
| ( ( ~ p21(X1)
| ! [X42] :
( ~ p120(X42)
| p21(X42)
| ~ r1(X1,X42) ) )
& ( p21(X1)
| ! [X43] :
( ~ p120(X43)
| ~ p21(X43)
| ~ r1(X1,X43) ) ) )
| ~ sP40(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f52,plain,
! [X1] :
( ~ p119(X1)
| ( ( ~ p20(X1)
| ! [X40] :
( ~ p119(X40)
| p20(X40)
| ~ r1(X1,X40) ) )
& ( p20(X1)
| ! [X41] :
( ~ p119(X41)
| ~ p20(X41)
| ~ r1(X1,X41) ) ) )
| ~ sP41(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f53,plain,
! [X1] :
( ~ p118(X1)
| ( ( ~ p19(X1)
| ! [X38] :
( ~ p118(X38)
| p19(X38)
| ~ r1(X1,X38) ) )
& ( p19(X1)
| ! [X39] :
( ~ p118(X39)
| ~ p19(X39)
| ~ r1(X1,X39) ) ) )
| ~ sP42(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f54,plain,
! [X1] :
( ~ p117(X1)
| ( ( ~ p18(X1)
| ! [X36] :
( ~ p117(X36)
| p18(X36)
| ~ r1(X1,X36) ) )
& ( p18(X1)
| ! [X37] :
( ~ p117(X37)
| ~ p18(X37)
| ~ r1(X1,X37) ) ) )
| ~ sP43(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f55,plain,
! [X1] :
( ~ p116(X1)
| ( ( ~ p17(X1)
| ! [X34] :
( ~ p116(X34)
| p17(X34)
| ~ r1(X1,X34) ) )
& ( p17(X1)
| ! [X35] :
( ~ p116(X35)
| ~ p17(X35)
| ~ r1(X1,X35) ) ) )
| ~ sP44(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f56,plain,
! [X1] :
( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X32] :
( ~ p115(X32)
| p16(X32)
| ~ r1(X1,X32) ) )
& ( p16(X1)
| ! [X33] :
( ~ p115(X33)
| ~ p16(X33)
| ~ r1(X1,X33) ) ) )
| ~ sP45(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f57,plain,
! [X1] :
( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X30] :
( ~ p114(X30)
| p15(X30)
| ~ r1(X1,X30) ) )
& ( p15(X1)
| ! [X31] :
( ~ p114(X31)
| ~ p15(X31)
| ~ r1(X1,X31) ) ) )
| ~ sP46(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f58,plain,
! [X1] :
( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X28] :
( ~ p113(X28)
| p14(X28)
| ~ r1(X1,X28) ) )
& ( p14(X1)
| ! [X29] :
( ~ p113(X29)
| ~ p14(X29)
| ~ r1(X1,X29) ) ) )
| ~ sP47(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f59,plain,
! [X1] :
( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X26] :
( ~ p112(X26)
| p13(X26)
| ~ r1(X1,X26) ) )
& ( p13(X1)
| ! [X27] :
( ~ p112(X27)
| ~ p13(X27)
| ~ r1(X1,X27) ) ) )
| ~ sP48(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f60,plain,
! [X1] :
( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X24] :
( ~ p111(X24)
| p12(X24)
| ~ r1(X1,X24) ) )
& ( p12(X1)
| ! [X25] :
( ~ p111(X25)
| ~ p12(X25)
| ~ r1(X1,X25) ) ) )
| ~ sP49(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f61,plain,
! [X1] :
( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) )
| ~ sP50(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f62,plain,
! [X1] :
( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) )
| ~ sP51(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f63,plain,
! [X1] :
( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) )
| ~ sP52(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f64,plain,
! [X1] :
( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) )
| ~ sP53(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f65,plain,
! [X1] :
( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) )
| ~ sP54(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f66,plain,
! [X1] :
( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) )
| ~ sP55(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f67,plain,
! [X1] :
( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) )
| ~ sP56(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f68,plain,
! [X1] :
( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) )
| ~ sP57(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f69,plain,
! [X1] :
( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) )
| ~ sP58(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f70,plain,
! [X1] :
( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) )
| ~ sP59(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f71,plain,
! [X1] :
( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) )
| ~ sP60(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f72,plain,
! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p117(X1)
| p116(X1) )
& ( ~ p118(X1)
| p117(X1) )
& ( ~ p119(X1)
| p118(X1) )
& ( ~ p120(X1)
| p119(X1) )
& ( ~ p121(X1)
| p120(X1) )
& sP60(X1)
& sP59(X1)
& sP58(X1)
& sP57(X1)
& sP56(X1)
& sP55(X1)
& sP54(X1)
& sP53(X1)
& sP52(X1)
& sP51(X1)
& sP50(X1)
& sP49(X1)
& sP48(X1)
& sP47(X1)
& sP46(X1)
& sP45(X1)
& sP44(X1)
& sP43(X1)
& sP42(X1)
& sP41(X1)
& sP40(X1)
& sP39(X1)
& sP38(X1)
& sP37(X1)
& sP36(X1)
& sP35(X1)
& sP34(X1)
& sP33(X1)
& sP32(X1)
& sP31(X1)
& sP30(X1)
& sP29(X1)
& sP28(X1)
& sP27(X1)
& sP26(X1)
& sP25(X1)
& sP24(X1)
& sP23(X1)
& sP22(X1)
& sP21(X1)
& sP20(X1) )
| ~ sP61(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p117(X1)
| p116(X1) )
& ( ~ p118(X1)
| p117(X1) )
& ( ~ p119(X1)
| p118(X1) )
& ( ~ p120(X1)
| p119(X1) )
& ( ~ p121(X1)
| p120(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X24] :
( ~ p111(X24)
| p12(X24)
| ~ r1(X1,X24) ) )
& ( p12(X1)
| ! [X25] :
( ~ p111(X25)
| ~ p12(X25)
| ~ r1(X1,X25) ) ) ) )
& ( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X26] :
( ~ p112(X26)
| p13(X26)
| ~ r1(X1,X26) ) )
& ( p13(X1)
| ! [X27] :
( ~ p112(X27)
| ~ p13(X27)
| ~ r1(X1,X27) ) ) ) )
& ( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X28] :
( ~ p113(X28)
| p14(X28)
| ~ r1(X1,X28) ) )
& ( p14(X1)
| ! [X29] :
( ~ p113(X29)
| ~ p14(X29)
| ~ r1(X1,X29) ) ) ) )
& ( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X30] :
( ~ p114(X30)
| p15(X30)
| ~ r1(X1,X30) ) )
& ( p15(X1)
| ! [X31] :
( ~ p114(X31)
| ~ p15(X31)
| ~ r1(X1,X31) ) ) ) )
& ( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X32] :
( ~ p115(X32)
| p16(X32)
| ~ r1(X1,X32) ) )
& ( p16(X1)
| ! [X33] :
( ~ p115(X33)
| ~ p16(X33)
| ~ r1(X1,X33) ) ) ) )
& ( ~ p116(X1)
| ( ( ~ p17(X1)
| ! [X34] :
( ~ p116(X34)
| p17(X34)
| ~ r1(X1,X34) ) )
& ( p17(X1)
| ! [X35] :
( ~ p116(X35)
| ~ p17(X35)
| ~ r1(X1,X35) ) ) ) )
& ( ~ p117(X1)
| ( ( ~ p18(X1)
| ! [X36] :
( ~ p117(X36)
| p18(X36)
| ~ r1(X1,X36) ) )
& ( p18(X1)
| ! [X37] :
( ~ p117(X37)
| ~ p18(X37)
| ~ r1(X1,X37) ) ) ) )
& ( ~ p118(X1)
| ( ( ~ p19(X1)
| ! [X38] :
( ~ p118(X38)
| p19(X38)
| ~ r1(X1,X38) ) )
& ( p19(X1)
| ! [X39] :
( ~ p118(X39)
| ~ p19(X39)
| ~ r1(X1,X39) ) ) ) )
& ( ~ p119(X1)
| ( ( ~ p20(X1)
| ! [X40] :
( ~ p119(X40)
| p20(X40)
| ~ r1(X1,X40) ) )
& ( p20(X1)
| ! [X41] :
( ~ p119(X41)
| ~ p20(X41)
| ~ r1(X1,X41) ) ) ) )
& ( ~ p120(X1)
| ( ( ~ p21(X1)
| ! [X42] :
( ~ p120(X42)
| p21(X42)
| ~ r1(X1,X42) ) )
& ( p21(X1)
| ! [X43] :
( ~ p120(X43)
| ~ p21(X43)
| ~ r1(X1,X43) ) ) ) )
& ( ~ p100(X1)
| p101(X1)
| ( ? [X44] :
( p101(X44)
& ~ p102(X44)
& p2(X44)
& r1(X1,X44) )
& ? [X45] :
( p101(X45)
& ~ p102(X45)
& ~ p2(X45)
& r1(X1,X45) ) ) )
& ( ~ p101(X1)
| p102(X1)
| ( ? [X46] :
( p102(X46)
& ~ p103(X46)
& p3(X46)
& r1(X1,X46) )
& ? [X47] :
( p102(X47)
& ~ p103(X47)
& ~ p3(X47)
& r1(X1,X47) ) ) )
& ( ~ p102(X1)
| p103(X1)
| ( ? [X48] :
( p103(X48)
& ~ p104(X48)
& p4(X48)
& r1(X1,X48) )
& ? [X49] :
( p103(X49)
& ~ p104(X49)
& ~ p4(X49)
& r1(X1,X49) ) ) )
& ( ~ p103(X1)
| p104(X1)
| ( ? [X50] :
( p104(X50)
& ~ p105(X50)
& p5(X50)
& r1(X1,X50) )
& ? [X51] :
( p104(X51)
& ~ p105(X51)
& ~ p5(X51)
& r1(X1,X51) ) ) )
& ( ~ p104(X1)
| p105(X1)
| ( ? [X52] :
( p105(X52)
& ~ p106(X52)
& p6(X52)
& r1(X1,X52) )
& ? [X53] :
( p105(X53)
& ~ p106(X53)
& ~ p6(X53)
& r1(X1,X53) ) ) )
& ( ~ p105(X1)
| p106(X1)
| ( ? [X54] :
( p106(X54)
& ~ p107(X54)
& p7(X54)
& r1(X1,X54) )
& ? [X55] :
( p106(X55)
& ~ p107(X55)
& ~ p7(X55)
& r1(X1,X55) ) ) )
& ( ~ p106(X1)
| p107(X1)
| ( ? [X56] :
( p107(X56)
& ~ p108(X56)
& p8(X56)
& r1(X1,X56) )
& ? [X57] :
( p107(X57)
& ~ p108(X57)
& ~ p8(X57)
& r1(X1,X57) ) ) )
& ( ~ p107(X1)
| p108(X1)
| ( ? [X58] :
( p108(X58)
& ~ p109(X58)
& p9(X58)
& r1(X1,X58) )
& ? [X59] :
( p108(X59)
& ~ p109(X59)
& ~ p9(X59)
& r1(X1,X59) ) ) )
& ( ~ p108(X1)
| p109(X1)
| ( ? [X60] :
( p109(X60)
& ~ p110(X60)
& p10(X60)
& r1(X1,X60) )
& ? [X61] :
( p109(X61)
& ~ p110(X61)
& ~ p10(X61)
& r1(X1,X61) ) ) )
& ( ~ p109(X1)
| p110(X1)
| ( ? [X62] :
( p110(X62)
& ~ p111(X62)
& p11(X62)
& r1(X1,X62) )
& ? [X63] :
( p110(X63)
& ~ p111(X63)
& ~ p11(X63)
& r1(X1,X63) ) ) )
& ( ~ p110(X1)
| p111(X1)
| ( ? [X64] :
( p111(X64)
& ~ p112(X64)
& p12(X64)
& r1(X1,X64) )
& ? [X65] :
( p111(X65)
& ~ p112(X65)
& ~ p12(X65)
& r1(X1,X65) ) ) )
& ( ~ p111(X1)
| p112(X1)
| ( ? [X66] :
( p112(X66)
& ~ p113(X66)
& p13(X66)
& r1(X1,X66) )
& ? [X67] :
( p112(X67)
& ~ p113(X67)
& ~ p13(X67)
& r1(X1,X67) ) ) )
& ( ~ p112(X1)
| p113(X1)
| ( ? [X68] :
( p113(X68)
& ~ p114(X68)
& p14(X68)
& r1(X1,X68) )
& ? [X69] :
( p113(X69)
& ~ p114(X69)
& ~ p14(X69)
& r1(X1,X69) ) ) )
& ( ~ p113(X1)
| p114(X1)
| ( ? [X70] :
( p114(X70)
& ~ p115(X70)
& p15(X70)
& r1(X1,X70) )
& ? [X71] :
( p114(X71)
& ~ p115(X71)
& ~ p15(X71)
& r1(X1,X71) ) ) )
& ( ~ p114(X1)
| p115(X1)
| ( ? [X72] :
( p115(X72)
& ~ p116(X72)
& p16(X72)
& r1(X1,X72) )
& ? [X73] :
( p115(X73)
& ~ p116(X73)
& ~ p16(X73)
& r1(X1,X73) ) ) )
& ( ~ p115(X1)
| p116(X1)
| ( ? [X74] :
( p116(X74)
& ~ p117(X74)
& p17(X74)
& r1(X1,X74) )
& ? [X75] :
( p116(X75)
& ~ p117(X75)
& ~ p17(X75)
& r1(X1,X75) ) ) )
& ( ~ p116(X1)
| p117(X1)
| ( ? [X76] :
( p117(X76)
& ~ p118(X76)
& p18(X76)
& r1(X1,X76) )
& ? [X77] :
( p117(X77)
& ~ p118(X77)
& ~ p18(X77)
& r1(X1,X77) ) ) )
& ( ~ p117(X1)
| p118(X1)
| ( ? [X78] :
( p118(X78)
& ~ p119(X78)
& p19(X78)
& r1(X1,X78) )
& ? [X79] :
( p118(X79)
& ~ p119(X79)
& ~ p19(X79)
& r1(X1,X79) ) ) )
& ( ~ p118(X1)
| p119(X1)
| ( ? [X80] :
( p119(X80)
& ~ p120(X80)
& p20(X80)
& r1(X1,X80) )
& ? [X81] :
( p119(X81)
& ~ p120(X81)
& ~ p20(X81)
& r1(X1,X81) ) ) )
& ( ~ p119(X1)
| p120(X1)
| ( ? [X82] :
( p120(X82)
& ~ p121(X82)
& p21(X82)
& r1(X1,X82) )
& ? [X83] :
( p120(X83)
& ~ p121(X83)
& ~ p21(X83)
& r1(X1,X83) ) ) ) )
| ~ r1(X0,X1) )
& ! [X84] :
( p8(X84)
| ~ r1(X0,X84) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p117(X1)
| p116(X1) )
& ( ~ p118(X1)
| p117(X1) )
& ( ~ p119(X1)
| p118(X1) )
& ( ~ p120(X1)
| p119(X1) )
& ( ~ p121(X1)
| p120(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X24] :
( ~ p111(X24)
| p12(X24)
| ~ r1(X1,X24) ) )
& ( p12(X1)
| ! [X25] :
( ~ p111(X25)
| ~ p12(X25)
| ~ r1(X1,X25) ) ) ) )
& ( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X26] :
( ~ p112(X26)
| p13(X26)
| ~ r1(X1,X26) ) )
& ( p13(X1)
| ! [X27] :
( ~ p112(X27)
| ~ p13(X27)
| ~ r1(X1,X27) ) ) ) )
& ( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X28] :
( ~ p113(X28)
| p14(X28)
| ~ r1(X1,X28) ) )
& ( p14(X1)
| ! [X29] :
( ~ p113(X29)
| ~ p14(X29)
| ~ r1(X1,X29) ) ) ) )
& ( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X30] :
( ~ p114(X30)
| p15(X30)
| ~ r1(X1,X30) ) )
& ( p15(X1)
| ! [X31] :
( ~ p114(X31)
| ~ p15(X31)
| ~ r1(X1,X31) ) ) ) )
& ( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X32] :
( ~ p115(X32)
| p16(X32)
| ~ r1(X1,X32) ) )
& ( p16(X1)
| ! [X33] :
( ~ p115(X33)
| ~ p16(X33)
| ~ r1(X1,X33) ) ) ) )
& ( ~ p116(X1)
| ( ( ~ p17(X1)
| ! [X34] :
( ~ p116(X34)
| p17(X34)
| ~ r1(X1,X34) ) )
& ( p17(X1)
| ! [X35] :
( ~ p116(X35)
| ~ p17(X35)
| ~ r1(X1,X35) ) ) ) )
& ( ~ p117(X1)
| ( ( ~ p18(X1)
| ! [X36] :
( ~ p117(X36)
| p18(X36)
| ~ r1(X1,X36) ) )
& ( p18(X1)
| ! [X37] :
( ~ p117(X37)
| ~ p18(X37)
| ~ r1(X1,X37) ) ) ) )
& ( ~ p118(X1)
| ( ( ~ p19(X1)
| ! [X38] :
( ~ p118(X38)
| p19(X38)
| ~ r1(X1,X38) ) )
& ( p19(X1)
| ! [X39] :
( ~ p118(X39)
| ~ p19(X39)
| ~ r1(X1,X39) ) ) ) )
& ( ~ p119(X1)
| ( ( ~ p20(X1)
| ! [X40] :
( ~ p119(X40)
| p20(X40)
| ~ r1(X1,X40) ) )
& ( p20(X1)
| ! [X41] :
( ~ p119(X41)
| ~ p20(X41)
| ~ r1(X1,X41) ) ) ) )
& ( ~ p120(X1)
| ( ( ~ p21(X1)
| ! [X42] :
( ~ p120(X42)
| p21(X42)
| ~ r1(X1,X42) ) )
& ( p21(X1)
| ! [X43] :
( ~ p120(X43)
| ~ p21(X43)
| ~ r1(X1,X43) ) ) ) )
& ( ~ p100(X1)
| p101(X1)
| ( ? [X44] :
( p101(X44)
& ~ p102(X44)
& p2(X44)
& r1(X1,X44) )
& ? [X45] :
( p101(X45)
& ~ p102(X45)
& ~ p2(X45)
& r1(X1,X45) ) ) )
& ( ~ p101(X1)
| p102(X1)
| ( ? [X46] :
( p102(X46)
& ~ p103(X46)
& p3(X46)
& r1(X1,X46) )
& ? [X47] :
( p102(X47)
& ~ p103(X47)
& ~ p3(X47)
& r1(X1,X47) ) ) )
& ( ~ p102(X1)
| p103(X1)
| ( ? [X48] :
( p103(X48)
& ~ p104(X48)
& p4(X48)
& r1(X1,X48) )
& ? [X49] :
( p103(X49)
& ~ p104(X49)
& ~ p4(X49)
& r1(X1,X49) ) ) )
& ( ~ p103(X1)
| p104(X1)
| ( ? [X50] :
( p104(X50)
& ~ p105(X50)
& p5(X50)
& r1(X1,X50) )
& ? [X51] :
( p104(X51)
& ~ p105(X51)
& ~ p5(X51)
& r1(X1,X51) ) ) )
& ( ~ p104(X1)
| p105(X1)
| ( ? [X52] :
( p105(X52)
& ~ p106(X52)
& p6(X52)
& r1(X1,X52) )
& ? [X53] :
( p105(X53)
& ~ p106(X53)
& ~ p6(X53)
& r1(X1,X53) ) ) )
& ( ~ p105(X1)
| p106(X1)
| ( ? [X54] :
( p106(X54)
& ~ p107(X54)
& p7(X54)
& r1(X1,X54) )
& ? [X55] :
( p106(X55)
& ~ p107(X55)
& ~ p7(X55)
& r1(X1,X55) ) ) )
& ( ~ p106(X1)
| p107(X1)
| ( ? [X56] :
( p107(X56)
& ~ p108(X56)
& p8(X56)
& r1(X1,X56) )
& ? [X57] :
( p107(X57)
& ~ p108(X57)
& ~ p8(X57)
& r1(X1,X57) ) ) )
& ( ~ p107(X1)
| p108(X1)
| ( ? [X58] :
( p108(X58)
& ~ p109(X58)
& p9(X58)
& r1(X1,X58) )
& ? [X59] :
( p108(X59)
& ~ p109(X59)
& ~ p9(X59)
& r1(X1,X59) ) ) )
& ( ~ p108(X1)
| p109(X1)
| ( ? [X60] :
( p109(X60)
& ~ p110(X60)
& p10(X60)
& r1(X1,X60) )
& ? [X61] :
( p109(X61)
& ~ p110(X61)
& ~ p10(X61)
& r1(X1,X61) ) ) )
& ( ~ p109(X1)
| p110(X1)
| ( ? [X62] :
( p110(X62)
& ~ p111(X62)
& p11(X62)
& r1(X1,X62) )
& ? [X63] :
( p110(X63)
& ~ p111(X63)
& ~ p11(X63)
& r1(X1,X63) ) ) )
& ( ~ p110(X1)
| p111(X1)
| ( ? [X64] :
( p111(X64)
& ~ p112(X64)
& p12(X64)
& r1(X1,X64) )
& ? [X65] :
( p111(X65)
& ~ p112(X65)
& ~ p12(X65)
& r1(X1,X65) ) ) )
& ( ~ p111(X1)
| p112(X1)
| ( ? [X66] :
( p112(X66)
& ~ p113(X66)
& p13(X66)
& r1(X1,X66) )
& ? [X67] :
( p112(X67)
& ~ p113(X67)
& ~ p13(X67)
& r1(X1,X67) ) ) )
& ( ~ p112(X1)
| p113(X1)
| ( ? [X68] :
( p113(X68)
& ~ p114(X68)
& p14(X68)
& r1(X1,X68) )
& ? [X69] :
( p113(X69)
& ~ p114(X69)
& ~ p14(X69)
& r1(X1,X69) ) ) )
& ( ~ p113(X1)
| p114(X1)
| ( ? [X70] :
( p114(X70)
& ~ p115(X70)
& p15(X70)
& r1(X1,X70) )
& ? [X71] :
( p114(X71)
& ~ p115(X71)
& ~ p15(X71)
& r1(X1,X71) ) ) )
& ( ~ p114(X1)
| p115(X1)
| ( ? [X72] :
( p115(X72)
& ~ p116(X72)
& p16(X72)
& r1(X1,X72) )
& ? [X73] :
( p115(X73)
& ~ p116(X73)
& ~ p16(X73)
& r1(X1,X73) ) ) )
& ( ~ p115(X1)
| p116(X1)
| ( ? [X74] :
( p116(X74)
& ~ p117(X74)
& p17(X74)
& r1(X1,X74) )
& ? [X75] :
( p116(X75)
& ~ p117(X75)
& ~ p17(X75)
& r1(X1,X75) ) ) )
& ( ~ p116(X1)
| p117(X1)
| ( ? [X76] :
( p117(X76)
& ~ p118(X76)
& p18(X76)
& r1(X1,X76) )
& ? [X77] :
( p117(X77)
& ~ p118(X77)
& ~ p18(X77)
& r1(X1,X77) ) ) )
& ( ~ p117(X1)
| p118(X1)
| ( ? [X78] :
( p118(X78)
& ~ p119(X78)
& p19(X78)
& r1(X1,X78) )
& ? [X79] :
( p118(X79)
& ~ p119(X79)
& ~ p19(X79)
& r1(X1,X79) ) ) )
& ( ~ p118(X1)
| p119(X1)
| ( ? [X80] :
( p119(X80)
& ~ p120(X80)
& p20(X80)
& r1(X1,X80) )
& ? [X81] :
( p119(X81)
& ~ p120(X81)
& ~ p20(X81)
& r1(X1,X81) ) ) )
& ( ~ p119(X1)
| p120(X1)
| ( ? [X82] :
( p120(X82)
& ~ p121(X82)
& p21(X82)
& r1(X1,X82) )
& ? [X83] :
( p120(X83)
& ~ p121(X83)
& ~ p21(X83)
& r1(X1,X83) ) ) ) )
| ~ r1(X0,X1) )
& ! [X84] :
( p8(X84)
| ~ r1(X0,X84) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p117(X1)
| p116(X1) )
& ( ~ p118(X1)
| p117(X1) )
& ( ~ p119(X1)
| p118(X1) )
& ( ~ p120(X1)
| p119(X1) )
& ( ~ p121(X1)
| p120(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X24] :
( ~ p111(X24)
| p12(X24)
| ~ r1(X1,X24) ) )
& ( p12(X1)
| ! [X25] :
( ~ p111(X25)
| ~ p12(X25)
| ~ r1(X1,X25) ) ) ) )
& ( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X26] :
( ~ p112(X26)
| p13(X26)
| ~ r1(X1,X26) ) )
& ( p13(X1)
| ! [X27] :
( ~ p112(X27)
| ~ p13(X27)
| ~ r1(X1,X27) ) ) ) )
& ( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X28] :
( ~ p113(X28)
| p14(X28)
| ~ r1(X1,X28) ) )
& ( p14(X1)
| ! [X29] :
( ~ p113(X29)
| ~ p14(X29)
| ~ r1(X1,X29) ) ) ) )
& ( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X30] :
( ~ p114(X30)
| p15(X30)
| ~ r1(X1,X30) ) )
& ( p15(X1)
| ! [X31] :
( ~ p114(X31)
| ~ p15(X31)
| ~ r1(X1,X31) ) ) ) )
& ( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X32] :
( ~ p115(X32)
| p16(X32)
| ~ r1(X1,X32) ) )
& ( p16(X1)
| ! [X33] :
( ~ p115(X33)
| ~ p16(X33)
| ~ r1(X1,X33) ) ) ) )
& ( ~ p116(X1)
| ( ( ~ p17(X1)
| ! [X34] :
( ~ p116(X34)
| p17(X34)
| ~ r1(X1,X34) ) )
& ( p17(X1)
| ! [X35] :
( ~ p116(X35)
| ~ p17(X35)
| ~ r1(X1,X35) ) ) ) )
& ( ~ p117(X1)
| ( ( ~ p18(X1)
| ! [X36] :
( ~ p117(X36)
| p18(X36)
| ~ r1(X1,X36) ) )
& ( p18(X1)
| ! [X37] :
( ~ p117(X37)
| ~ p18(X37)
| ~ r1(X1,X37) ) ) ) )
& ( ~ p118(X1)
| ( ( ~ p19(X1)
| ! [X38] :
( ~ p118(X38)
| p19(X38)
| ~ r1(X1,X38) ) )
& ( p19(X1)
| ! [X39] :
( ~ p118(X39)
| ~ p19(X39)
| ~ r1(X1,X39) ) ) ) )
& ( ~ p119(X1)
| ( ( ~ p20(X1)
| ! [X40] :
( ~ p119(X40)
| p20(X40)
| ~ r1(X1,X40) ) )
& ( p20(X1)
| ! [X41] :
( ~ p119(X41)
| ~ p20(X41)
| ~ r1(X1,X41) ) ) ) )
& ( ~ p120(X1)
| ( ( ~ p21(X1)
| ! [X42] :
( ~ p120(X42)
| p21(X42)
| ~ r1(X1,X42) ) )
& ( p21(X1)
| ! [X43] :
( ~ p120(X43)
| ~ p21(X43)
| ~ r1(X1,X43) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X44] :
( ~ ( p101(X44)
& ~ p102(X44)
& p2(X44) )
| ~ r1(X1,X44) )
& ~ ! [X45] :
( ~ ( p101(X45)
& ~ p102(X45)
& ~ p2(X45) )
| ~ r1(X1,X45) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X46] :
( ~ ( p102(X46)
& ~ p103(X46)
& p3(X46) )
| ~ r1(X1,X46) )
& ~ ! [X47] :
( ~ ( p102(X47)
& ~ p103(X47)
& ~ p3(X47) )
| ~ r1(X1,X47) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X48] :
( ~ ( p103(X48)
& ~ p104(X48)
& p4(X48) )
| ~ r1(X1,X48) )
& ~ ! [X49] :
( ~ ( p103(X49)
& ~ p104(X49)
& ~ p4(X49) )
| ~ r1(X1,X49) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X50] :
( ~ ( p104(X50)
& ~ p105(X50)
& p5(X50) )
| ~ r1(X1,X50) )
& ~ ! [X51] :
( ~ ( p104(X51)
& ~ p105(X51)
& ~ p5(X51) )
| ~ r1(X1,X51) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X52] :
( ~ ( p105(X52)
& ~ p106(X52)
& p6(X52) )
| ~ r1(X1,X52) )
& ~ ! [X53] :
( ~ ( p105(X53)
& ~ p106(X53)
& ~ p6(X53) )
| ~ r1(X1,X53) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X54] :
( ~ ( p106(X54)
& ~ p107(X54)
& p7(X54) )
| ~ r1(X1,X54) )
& ~ ! [X55] :
( ~ ( p106(X55)
& ~ p107(X55)
& ~ p7(X55) )
| ~ r1(X1,X55) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X56] :
( ~ ( p107(X56)
& ~ p108(X56)
& p8(X56) )
| ~ r1(X1,X56) )
& ~ ! [X57] :
( ~ ( p107(X57)
& ~ p108(X57)
& ~ p8(X57) )
| ~ r1(X1,X57) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X58] :
( ~ ( p108(X58)
& ~ p109(X58)
& p9(X58) )
| ~ r1(X1,X58) )
& ~ ! [X59] :
( ~ ( p108(X59)
& ~ p109(X59)
& ~ p9(X59) )
| ~ r1(X1,X59) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X60] :
( ~ ( p109(X60)
& ~ p110(X60)
& p10(X60) )
| ~ r1(X1,X60) )
& ~ ! [X61] :
( ~ ( p109(X61)
& ~ p110(X61)
& ~ p10(X61) )
| ~ r1(X1,X61) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X62] :
( ~ ( p110(X62)
& ~ p111(X62)
& p11(X62) )
| ~ r1(X1,X62) )
& ~ ! [X63] :
( ~ ( p110(X63)
& ~ p111(X63)
& ~ p11(X63) )
| ~ r1(X1,X63) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X64] :
( ~ ( p111(X64)
& ~ p112(X64)
& p12(X64) )
| ~ r1(X1,X64) )
& ~ ! [X65] :
( ~ ( p111(X65)
& ~ p112(X65)
& ~ p12(X65) )
| ~ r1(X1,X65) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X66] :
( ~ ( p112(X66)
& ~ p113(X66)
& p13(X66) )
| ~ r1(X1,X66) )
& ~ ! [X67] :
( ~ ( p112(X67)
& ~ p113(X67)
& ~ p13(X67) )
| ~ r1(X1,X67) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X68] :
( ~ ( p113(X68)
& ~ p114(X68)
& p14(X68) )
| ~ r1(X1,X68) )
& ~ ! [X69] :
( ~ ( p113(X69)
& ~ p114(X69)
& ~ p14(X69) )
| ~ r1(X1,X69) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X70] :
( ~ ( p114(X70)
& ~ p115(X70)
& p15(X70) )
| ~ r1(X1,X70) )
& ~ ! [X71] :
( ~ ( p114(X71)
& ~ p115(X71)
& ~ p15(X71) )
| ~ r1(X1,X71) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X72] :
( ~ ( p115(X72)
& ~ p116(X72)
& p16(X72) )
| ~ r1(X1,X72) )
& ~ ! [X73] :
( ~ ( p115(X73)
& ~ p116(X73)
& ~ p16(X73) )
| ~ r1(X1,X73) ) ) )
& ( ~ ( p115(X1)
& ~ p116(X1) )
| ( ~ ! [X74] :
( ~ ( p116(X74)
& ~ p117(X74)
& p17(X74) )
| ~ r1(X1,X74) )
& ~ ! [X75] :
( ~ ( p116(X75)
& ~ p117(X75)
& ~ p17(X75) )
| ~ r1(X1,X75) ) ) )
& ( ~ ( p116(X1)
& ~ p117(X1) )
| ( ~ ! [X76] :
( ~ ( p117(X76)
& ~ p118(X76)
& p18(X76) )
| ~ r1(X1,X76) )
& ~ ! [X77] :
( ~ ( p117(X77)
& ~ p118(X77)
& ~ p18(X77) )
| ~ r1(X1,X77) ) ) )
& ( ~ ( p117(X1)
& ~ p118(X1) )
| ( ~ ! [X78] :
( ~ ( p118(X78)
& ~ p119(X78)
& p19(X78) )
| ~ r1(X1,X78) )
& ~ ! [X79] :
( ~ ( p118(X79)
& ~ p119(X79)
& ~ p19(X79) )
| ~ r1(X1,X79) ) ) )
& ( ~ ( p118(X1)
& ~ p119(X1) )
| ( ~ ! [X80] :
( ~ ( p119(X80)
& ~ p120(X80)
& p20(X80) )
| ~ r1(X1,X80) )
& ~ ! [X81] :
( ~ ( p119(X81)
& ~ p120(X81)
& ~ p20(X81) )
| ~ r1(X1,X81) ) ) )
& ( ~ ( p119(X1)
& ~ p120(X1) )
| ( ~ ! [X82] :
( ~ ( p120(X82)
& ~ p121(X82)
& p21(X82) )
| ~ r1(X1,X82) )
& ~ ! [X83] :
( ~ ( p120(X83)
& ~ p121(X83)
& ~ p21(X83) )
| ~ r1(X1,X83) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X84] :
( p8(X84)
| ~ r1(X0,X84) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p117(X1)
| p116(X1) )
& ( ~ p118(X1)
| p117(X1) )
& ( ~ p119(X1)
| p118(X1) )
& ( ~ p120(X1)
| p119(X1) )
& ( ~ p121(X1)
| p120(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X24] :
( ~ p111(X24)
| p12(X24)
| ~ r1(X1,X24) ) )
& ( p12(X1)
| ! [X25] :
( ~ p111(X25)
| ~ p12(X25)
| ~ r1(X1,X25) ) ) ) )
& ( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X26] :
( ~ p112(X26)
| p13(X26)
| ~ r1(X1,X26) ) )
& ( p13(X1)
| ! [X27] :
( ~ p112(X27)
| ~ p13(X27)
| ~ r1(X1,X27) ) ) ) )
& ( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X28] :
( ~ p113(X28)
| p14(X28)
| ~ r1(X1,X28) ) )
& ( p14(X1)
| ! [X29] :
( ~ p113(X29)
| ~ p14(X29)
| ~ r1(X1,X29) ) ) ) )
& ( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X30] :
( ~ p114(X30)
| p15(X30)
| ~ r1(X1,X30) ) )
& ( p15(X1)
| ! [X31] :
( ~ p114(X31)
| ~ p15(X31)
| ~ r1(X1,X31) ) ) ) )
& ( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X32] :
( ~ p115(X32)
| p16(X32)
| ~ r1(X1,X32) ) )
& ( p16(X1)
| ! [X33] :
( ~ p115(X33)
| ~ p16(X33)
| ~ r1(X1,X33) ) ) ) )
& ( ~ p116(X1)
| ( ( ~ p17(X1)
| ! [X34] :
( ~ p116(X34)
| p17(X34)
| ~ r1(X1,X34) ) )
& ( p17(X1)
| ! [X35] :
( ~ p116(X35)
| ~ p17(X35)
| ~ r1(X1,X35) ) ) ) )
& ( ~ p117(X1)
| ( ( ~ p18(X1)
| ! [X36] :
( ~ p117(X36)
| p18(X36)
| ~ r1(X1,X36) ) )
& ( p18(X1)
| ! [X37] :
( ~ p117(X37)
| ~ p18(X37)
| ~ r1(X1,X37) ) ) ) )
& ( ~ p118(X1)
| ( ( ~ p19(X1)
| ! [X38] :
( ~ p118(X38)
| p19(X38)
| ~ r1(X1,X38) ) )
& ( p19(X1)
| ! [X39] :
( ~ p118(X39)
| ~ p19(X39)
| ~ r1(X1,X39) ) ) ) )
& ( ~ p119(X1)
| ( ( ~ p20(X1)
| ! [X40] :
( ~ p119(X40)
| p20(X40)
| ~ r1(X1,X40) ) )
& ( p20(X1)
| ! [X41] :
( ~ p119(X41)
| ~ p20(X41)
| ~ r1(X1,X41) ) ) ) )
& ( ~ p120(X1)
| ( ( ~ p21(X1)
| ! [X42] :
( ~ p120(X42)
| p21(X42)
| ~ r1(X1,X42) ) )
& ( p21(X1)
| ! [X43] :
( ~ p120(X43)
| ~ p21(X43)
| ~ r1(X1,X43) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X44] :
( ~ ( p101(X44)
& ~ p102(X44)
& p2(X44) )
| ~ r1(X1,X44) )
& ~ ! [X45] :
( ~ ( p101(X45)
& ~ p102(X45)
& ~ p2(X45) )
| ~ r1(X1,X45) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X46] :
( ~ ( p102(X46)
& ~ p103(X46)
& p3(X46) )
| ~ r1(X1,X46) )
& ~ ! [X47] :
( ~ ( p102(X47)
& ~ p103(X47)
& ~ p3(X47) )
| ~ r1(X1,X47) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X48] :
( ~ ( p103(X48)
& ~ p104(X48)
& p4(X48) )
| ~ r1(X1,X48) )
& ~ ! [X49] :
( ~ ( p103(X49)
& ~ p104(X49)
& ~ p4(X49) )
| ~ r1(X1,X49) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X50] :
( ~ ( p104(X50)
& ~ p105(X50)
& p5(X50) )
| ~ r1(X1,X50) )
& ~ ! [X51] :
( ~ ( p104(X51)
& ~ p105(X51)
& ~ p5(X51) )
| ~ r1(X1,X51) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X52] :
( ~ ( p105(X52)
& ~ p106(X52)
& p6(X52) )
| ~ r1(X1,X52) )
& ~ ! [X53] :
( ~ ( p105(X53)
& ~ p106(X53)
& ~ p6(X53) )
| ~ r1(X1,X53) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X54] :
( ~ ( p106(X54)
& ~ p107(X54)
& p7(X54) )
| ~ r1(X1,X54) )
& ~ ! [X55] :
( ~ ( p106(X55)
& ~ p107(X55)
& ~ p7(X55) )
| ~ r1(X1,X55) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X56] :
( ~ ( p107(X56)
& ~ p108(X56)
& p8(X56) )
| ~ r1(X1,X56) )
& ~ ! [X57] :
( ~ ( p107(X57)
& ~ p108(X57)
& ~ p8(X57) )
| ~ r1(X1,X57) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X58] :
( ~ ( p108(X58)
& ~ p109(X58)
& p9(X58) )
| ~ r1(X1,X58) )
& ~ ! [X59] :
( ~ ( p108(X59)
& ~ p109(X59)
& ~ p9(X59) )
| ~ r1(X1,X59) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X60] :
( ~ ( p109(X60)
& ~ p110(X60)
& p10(X60) )
| ~ r1(X1,X60) )
& ~ ! [X61] :
( ~ ( p109(X61)
& ~ p110(X61)
& ~ p10(X61) )
| ~ r1(X1,X61) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X62] :
( ~ ( p110(X62)
& ~ p111(X62)
& p11(X62) )
| ~ r1(X1,X62) )
& ~ ! [X63] :
( ~ ( p110(X63)
& ~ p111(X63)
& ~ p11(X63) )
| ~ r1(X1,X63) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X64] :
( ~ ( p111(X64)
& ~ p112(X64)
& p12(X64) )
| ~ r1(X1,X64) )
& ~ ! [X65] :
( ~ ( p111(X65)
& ~ p112(X65)
& ~ p12(X65) )
| ~ r1(X1,X65) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X66] :
( ~ ( p112(X66)
& ~ p113(X66)
& p13(X66) )
| ~ r1(X1,X66) )
& ~ ! [X67] :
( ~ ( p112(X67)
& ~ p113(X67)
& ~ p13(X67) )
| ~ r1(X1,X67) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X68] :
( ~ ( p113(X68)
& ~ p114(X68)
& p14(X68) )
| ~ r1(X1,X68) )
& ~ ! [X69] :
( ~ ( p113(X69)
& ~ p114(X69)
& ~ p14(X69) )
| ~ r1(X1,X69) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X70] :
( ~ ( p114(X70)
& ~ p115(X70)
& p15(X70) )
| ~ r1(X1,X70) )
& ~ ! [X71] :
( ~ ( p114(X71)
& ~ p115(X71)
& ~ p15(X71) )
| ~ r1(X1,X71) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X72] :
( ~ ( p115(X72)
& ~ p116(X72)
& p16(X72) )
| ~ r1(X1,X72) )
& ~ ! [X73] :
( ~ ( p115(X73)
& ~ p116(X73)
& ~ p16(X73) )
| ~ r1(X1,X73) ) ) )
& ( ~ ( p115(X1)
& ~ p116(X1) )
| ( ~ ! [X74] :
( ~ ( p116(X74)
& ~ p117(X74)
& p17(X74) )
| ~ r1(X1,X74) )
& ~ ! [X75] :
( ~ ( p116(X75)
& ~ p117(X75)
& ~ p17(X75) )
| ~ r1(X1,X75) ) ) )
& ( ~ ( p116(X1)
& ~ p117(X1) )
| ( ~ ! [X76] :
( ~ ( p117(X76)
& ~ p118(X76)
& p18(X76) )
| ~ r1(X1,X76) )
& ~ ! [X77] :
( ~ ( p117(X77)
& ~ p118(X77)
& ~ p18(X77) )
| ~ r1(X1,X77) ) ) )
& ( ~ ( p117(X1)
& ~ p118(X1) )
| ( ~ ! [X78] :
( ~ ( p118(X78)
& ~ p119(X78)
& p19(X78) )
| ~ r1(X1,X78) )
& ~ ! [X79] :
( ~ ( p118(X79)
& ~ p119(X79)
& ~ p19(X79) )
| ~ r1(X1,X79) ) ) )
& ( ~ ( p118(X1)
& ~ p119(X1) )
| ( ~ ! [X80] :
( ~ ( p119(X80)
& ~ p120(X80)
& p20(X80) )
| ~ r1(X1,X80) )
& ~ ! [X81] :
( ~ ( p119(X81)
& ~ p120(X81)
& ~ p20(X81) )
| ~ r1(X1,X81) ) ) )
& ( ~ ( p119(X1)
& ~ p120(X1) )
| ( ~ ! [X82] :
( ~ ( p120(X82)
& ~ p121(X82)
& p21(X82) )
| ~ r1(X1,X82) )
& ~ ! [X83] :
( ~ ( p120(X83)
& ~ p121(X83)
& ~ p21(X83) )
| ~ r1(X1,X83) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X84] :
( p8(X84)
| ~ r1(X0,X84) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p117(X1)
| p116(X1) )
& ( ~ p118(X1)
| p117(X1) )
& ( ~ p119(X1)
| p118(X1) )
& ( ~ p120(X1)
| p119(X1) )
& ( ~ p121(X1)
| p120(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X0] :
( ~ p106(X0)
| p7(X0)
| ~ r1(X1,X0) ) )
& ( p7(X1)
| ! [X0] :
( ~ p106(X0)
| ~ p7(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X0] :
( ~ p107(X0)
| p8(X0)
| ~ r1(X1,X0) ) )
& ( p8(X1)
| ! [X0] :
( ~ p107(X0)
| ~ p8(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X0] :
( ~ p108(X0)
| p9(X0)
| ~ r1(X1,X0) ) )
& ( p9(X1)
| ! [X0] :
( ~ p108(X0)
| ~ p9(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X0] :
( ~ p109(X0)
| p10(X0)
| ~ r1(X1,X0) ) )
& ( p10(X1)
| ! [X0] :
( ~ p109(X0)
| ~ p10(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X0] :
( ~ p110(X0)
| p11(X0)
| ~ r1(X1,X0) ) )
& ( p11(X1)
| ! [X0] :
( ~ p110(X0)
| ~ p11(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X0] :
( ~ p111(X0)
| p12(X0)
| ~ r1(X1,X0) ) )
& ( p12(X1)
| ! [X0] :
( ~ p111(X0)
| ~ p12(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X0] :
( ~ p112(X0)
| p13(X0)
| ~ r1(X1,X0) ) )
& ( p13(X1)
| ! [X0] :
( ~ p112(X0)
| ~ p13(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X0] :
( ~ p113(X0)
| p14(X0)
| ~ r1(X1,X0) ) )
& ( p14(X1)
| ! [X0] :
( ~ p113(X0)
| ~ p14(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X0] :
( ~ p114(X0)
| p15(X0)
| ~ r1(X1,X0) ) )
& ( p15(X1)
| ! [X0] :
( ~ p114(X0)
| ~ p15(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X0] :
( ~ p115(X0)
| p16(X0)
| ~ r1(X1,X0) ) )
& ( p16(X1)
| ! [X0] :
( ~ p115(X0)
| ~ p16(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p116(X1)
| ( ( ~ p17(X1)
| ! [X0] :
( ~ p116(X0)
| p17(X0)
| ~ r1(X1,X0) ) )
& ( p17(X1)
| ! [X0] :
( ~ p116(X0)
| ~ p17(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p117(X1)
| ( ( ~ p18(X1)
| ! [X0] :
( ~ p117(X0)
| p18(X0)
| ~ r1(X1,X0) ) )
& ( p18(X1)
| ! [X0] :
( ~ p117(X0)
| ~ p18(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p118(X1)
| ( ( ~ p19(X1)
| ! [X0] :
( ~ p118(X0)
| p19(X0)
| ~ r1(X1,X0) ) )
& ( p19(X1)
| ! [X0] :
( ~ p118(X0)
| ~ p19(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p119(X1)
| ( ( ~ p20(X1)
| ! [X0] :
( ~ p119(X0)
| p20(X0)
| ~ r1(X1,X0) ) )
& ( p20(X1)
| ! [X0] :
( ~ p119(X0)
| ~ p20(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p120(X1)
| ( ( ~ p21(X1)
| ! [X0] :
( ~ p120(X0)
| p21(X0)
| ~ r1(X1,X0) ) )
& ( p21(X1)
| ! [X0] :
( ~ p120(X0)
| ~ p21(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& p7(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& ~ p7(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& p8(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& p9(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& ~ p9(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& p10(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& ~ p10(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& p11(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& ~ p11(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X0] :
( ~ ( p111(X0)
& ~ p112(X0)
& p12(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p111(X0)
& ~ p112(X0)
& ~ p12(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X0] :
( ~ ( p112(X0)
& ~ p113(X0)
& p13(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p112(X0)
& ~ p113(X0)
& ~ p13(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X0] :
( ~ ( p113(X0)
& ~ p114(X0)
& p14(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p113(X0)
& ~ p114(X0)
& ~ p14(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X0] :
( ~ ( p114(X0)
& ~ p115(X0)
& p15(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p114(X0)
& ~ p115(X0)
& ~ p15(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X0] :
( ~ ( p115(X0)
& ~ p116(X0)
& p16(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p115(X0)
& ~ p116(X0)
& ~ p16(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p115(X1)
& ~ p116(X1) )
| ( ~ ! [X0] :
( ~ ( p116(X0)
& ~ p117(X0)
& p17(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p116(X0)
& ~ p117(X0)
& ~ p17(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p116(X1)
& ~ p117(X1) )
| ( ~ ! [X0] :
( ~ ( p117(X0)
& ~ p118(X0)
& p18(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p117(X0)
& ~ p118(X0)
& ~ p18(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p117(X1)
& ~ p118(X1) )
| ( ~ ! [X0] :
( ~ ( p118(X0)
& ~ p119(X0)
& p19(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p118(X0)
& ~ p119(X0)
& ~ p19(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p118(X1)
& ~ p119(X1) )
| ( ~ ! [X0] :
( ~ ( p119(X0)
& ~ p120(X0)
& p20(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p119(X0)
& ~ p120(X0)
& ~ p20(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p119(X1)
& ~ p120(X1) )
| ( ~ ! [X0] :
( ~ ( p120(X0)
& ~ p121(X0)
& p21(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p120(X0)
& ~ p121(X0)
& ~ p21(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p8(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p117(X1)
| p116(X1) )
& ( ~ p118(X1)
| p117(X1) )
& ( ~ p119(X1)
| p118(X1) )
& ( ~ p120(X1)
| p119(X1) )
& ( ~ p121(X1)
| p120(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X0] :
( ~ p106(X0)
| p7(X0)
| ~ r1(X1,X0) ) )
& ( p7(X1)
| ! [X0] :
( ~ p106(X0)
| ~ p7(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X0] :
( ~ p107(X0)
| p8(X0)
| ~ r1(X1,X0) ) )
& ( p8(X1)
| ! [X0] :
( ~ p107(X0)
| ~ p8(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X0] :
( ~ p108(X0)
| p9(X0)
| ~ r1(X1,X0) ) )
& ( p9(X1)
| ! [X0] :
( ~ p108(X0)
| ~ p9(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X0] :
( ~ p109(X0)
| p10(X0)
| ~ r1(X1,X0) ) )
& ( p10(X1)
| ! [X0] :
( ~ p109(X0)
| ~ p10(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X0] :
( ~ p110(X0)
| p11(X0)
| ~ r1(X1,X0) ) )
& ( p11(X1)
| ! [X0] :
( ~ p110(X0)
| ~ p11(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X0] :
( ~ p111(X0)
| p12(X0)
| ~ r1(X1,X0) ) )
& ( p12(X1)
| ! [X0] :
( ~ p111(X0)
| ~ p12(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X0] :
( ~ p112(X0)
| p13(X0)
| ~ r1(X1,X0) ) )
& ( p13(X1)
| ! [X0] :
( ~ p112(X0)
| ~ p13(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X0] :
( ~ p113(X0)
| p14(X0)
| ~ r1(X1,X0) ) )
& ( p14(X1)
| ! [X0] :
( ~ p113(X0)
| ~ p14(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X0] :
( ~ p114(X0)
| p15(X0)
| ~ r1(X1,X0) ) )
& ( p15(X1)
| ! [X0] :
( ~ p114(X0)
| ~ p15(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X0] :
( ~ p115(X0)
| p16(X0)
| ~ r1(X1,X0) ) )
& ( p16(X1)
| ! [X0] :
( ~ p115(X0)
| ~ p16(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p116(X1)
| ( ( ~ p17(X1)
| ! [X0] :
( ~ p116(X0)
| p17(X0)
| ~ r1(X1,X0) ) )
& ( p17(X1)
| ! [X0] :
( ~ p116(X0)
| ~ p17(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p117(X1)
| ( ( ~ p18(X1)
| ! [X0] :
( ~ p117(X0)
| p18(X0)
| ~ r1(X1,X0) ) )
& ( p18(X1)
| ! [X0] :
( ~ p117(X0)
| ~ p18(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p118(X1)
| ( ( ~ p19(X1)
| ! [X0] :
( ~ p118(X0)
| p19(X0)
| ~ r1(X1,X0) ) )
& ( p19(X1)
| ! [X0] :
( ~ p118(X0)
| ~ p19(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p119(X1)
| ( ( ~ p20(X1)
| ! [X0] :
( ~ p119(X0)
| p20(X0)
| ~ r1(X1,X0) ) )
& ( p20(X1)
| ! [X0] :
( ~ p119(X0)
| ~ p20(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p120(X1)
| ( ( ~ p21(X1)
| ! [X0] :
( ~ p120(X0)
| p21(X0)
| ~ r1(X1,X0) ) )
& ( p21(X1)
| ! [X0] :
( ~ p120(X0)
| ~ p21(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& p7(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& ~ p7(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& p8(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& p9(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& ~ p9(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& p10(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& ~ p10(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& p11(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& ~ p11(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X0] :
( ~ ( p111(X0)
& ~ p112(X0)
& p12(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p111(X0)
& ~ p112(X0)
& ~ p12(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X0] :
( ~ ( p112(X0)
& ~ p113(X0)
& p13(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p112(X0)
& ~ p113(X0)
& ~ p13(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X0] :
( ~ ( p113(X0)
& ~ p114(X0)
& p14(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p113(X0)
& ~ p114(X0)
& ~ p14(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X0] :
( ~ ( p114(X0)
& ~ p115(X0)
& p15(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p114(X0)
& ~ p115(X0)
& ~ p15(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X0] :
( ~ ( p115(X0)
& ~ p116(X0)
& p16(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p115(X0)
& ~ p116(X0)
& ~ p16(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p115(X1)
& ~ p116(X1) )
| ( ~ ! [X0] :
( ~ ( p116(X0)
& ~ p117(X0)
& p17(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p116(X0)
& ~ p117(X0)
& ~ p17(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p116(X1)
& ~ p117(X1) )
| ( ~ ! [X0] :
( ~ ( p117(X0)
& ~ p118(X0)
& p18(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p117(X0)
& ~ p118(X0)
& ~ p18(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p117(X1)
& ~ p118(X1) )
| ( ~ ! [X0] :
( ~ ( p118(X0)
& ~ p119(X0)
& p19(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p118(X0)
& ~ p119(X0)
& ~ p19(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p118(X1)
& ~ p119(X1) )
| ( ~ ! [X0] :
( ~ ( p119(X0)
& ~ p120(X0)
& p20(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p119(X0)
& ~ p120(X0)
& ~ p20(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p119(X1)
& ~ p120(X1) )
| ( ~ ! [X0] :
( ~ ( p120(X0)
& ~ p121(X0)
& p21(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p120(X0)
& ~ p121(X0)
& ~ p21(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p8(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3725,plain,
( ! [X0] :
( r1(X0,sK88(sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))))
| ~ r1(X0,sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))) )
| ~ spl103_271 ),
inference(resolution,[],[f3466,f570]) ).
fof(f3466,plain,
( r1(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))),sK88(sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))))
| ~ spl103_271 ),
inference(resolution,[],[f3399,f509]) ).
fof(f509,plain,
! [X0] :
( ~ sP13(X0)
| r1(X0,sK88(X0)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f3413,plain,
( spl103_271
| spl103_262
| ~ spl103_243
| ~ spl103_263 ),
inference(avatar_split_clause,[],[f3412,f3255,f3080,f3250,f3397]) ).
fof(f3080,plain,
( spl103_243
<=> sP61(sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_243])]) ).
fof(f3255,plain,
( spl103_263
<=> p106(sK87(sK86(sK85(sK84(sK83(sK82(sK102))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_263])]) ).
fof(f3412,plain,
( p107(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| sP13(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_243
| ~ spl103_263 ),
inference(subsumption_resolution,[],[f3285,f3257]) ).
fof(f3257,plain,
( p106(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_263 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f3285,plain,
( p107(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| sP13(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ p106(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_243 ),
inference(resolution,[],[f3131,f415]) ).
fof(f415,plain,
! [X0] :
( ~ sP33(X0)
| p107(X0)
| sP13(X0)
| ~ p106(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ p106(X0)
| p107(X0)
| ( p107(sK68(X0))
& ~ p108(sK68(X0))
& p8(sK68(X0))
& r1(X0,sK68(X0))
& sP13(X0) )
| ~ sP33(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f143,f144]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( p107(X1)
& ~ p108(X1)
& p8(X1)
& r1(X0,X1) )
=> ( p107(sK68(X0))
& ~ p108(sK68(X0))
& p8(sK68(X0))
& r1(X0,sK68(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0] :
( ~ p106(X0)
| p107(X0)
| ( ? [X1] :
( p107(X1)
& ~ p108(X1)
& p8(X1)
& r1(X0,X1) )
& sP13(X0) )
| ~ sP33(X0) ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
! [X1] :
( ~ p106(X1)
| p107(X1)
| ( ? [X56] :
( p107(X56)
& ~ p108(X56)
& p8(X56)
& r1(X1,X56) )
& sP13(X1) )
| ~ sP33(X1) ),
inference(nnf_transformation,[],[f44]) ).
fof(f3131,plain,
( sP33(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_243 ),
inference(resolution,[],[f3082,f294]) ).
fof(f294,plain,
! [X0] :
( ~ sP61(X0)
| sP33(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p112(X0)
| p111(X0) )
& ( ~ p113(X0)
| p112(X0) )
& ( ~ p114(X0)
| p113(X0) )
& ( ~ p115(X0)
| p114(X0) )
& ( ~ p116(X0)
| p115(X0) )
& ( ~ p117(X0)
| p116(X0) )
& ( ~ p118(X0)
| p117(X0) )
& ( ~ p119(X0)
| p118(X0) )
& ( ~ p120(X0)
| p119(X0) )
& ( ~ p121(X0)
| p120(X0) )
& sP60(X0)
& sP59(X0)
& sP58(X0)
& sP57(X0)
& sP56(X0)
& sP55(X0)
& sP54(X0)
& sP53(X0)
& sP52(X0)
& sP51(X0)
& sP50(X0)
& sP49(X0)
& sP48(X0)
& sP47(X0)
& sP46(X0)
& sP45(X0)
& sP44(X0)
& sP43(X0)
& sP42(X0)
& sP41(X0)
& sP40(X0)
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP35(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& sP31(X0)
& sP30(X0)
& sP29(X0)
& sP28(X0)
& sP27(X0)
& sP26(X0)
& sP25(X0)
& sP24(X0)
& sP23(X0)
& sP22(X0)
& sP21(X0)
& sP20(X0) )
| ~ sP61(X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p117(X1)
| p116(X1) )
& ( ~ p118(X1)
| p117(X1) )
& ( ~ p119(X1)
| p118(X1) )
& ( ~ p120(X1)
| p119(X1) )
& ( ~ p121(X1)
| p120(X1) )
& sP60(X1)
& sP59(X1)
& sP58(X1)
& sP57(X1)
& sP56(X1)
& sP55(X1)
& sP54(X1)
& sP53(X1)
& sP52(X1)
& sP51(X1)
& sP50(X1)
& sP49(X1)
& sP48(X1)
& sP47(X1)
& sP46(X1)
& sP45(X1)
& sP44(X1)
& sP43(X1)
& sP42(X1)
& sP41(X1)
& sP40(X1)
& sP39(X1)
& sP38(X1)
& sP37(X1)
& sP36(X1)
& sP35(X1)
& sP34(X1)
& sP33(X1)
& sP32(X1)
& sP31(X1)
& sP30(X1)
& sP29(X1)
& sP28(X1)
& sP27(X1)
& sP26(X1)
& sP25(X1)
& sP24(X1)
& sP23(X1)
& sP22(X1)
& sP21(X1)
& sP20(X1) )
| ~ sP61(X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f3082,plain,
( sP61(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_243 ),
inference(avatar_component_clause,[],[f3080]) ).
fof(f3366,plain,
( ~ spl103_219
| spl103_263 ),
inference(avatar_contradiction_clause,[],[f3365]) ).
fof(f3365,plain,
( $false
| ~ spl103_219
| spl103_263 ),
inference(subsumption_resolution,[],[f3364,f2735]) ).
fof(f3364,plain,
( ~ sP14(sK86(sK85(sK84(sK83(sK82(sK102))))))
| spl103_263 ),
inference(resolution,[],[f3256,f508]) ).
fof(f508,plain,
! [X0] :
( p106(sK87(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f3256,plain,
( ~ p106(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| spl103_263 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f3116,plain,
( ~ spl103_167
| ~ spl103_210 ),
inference(avatar_contradiction_clause,[],[f3115]) ).
fof(f3115,plain,
( $false
| ~ spl103_167
| ~ spl103_210 ),
inference(subsumption_resolution,[],[f3114,f2199]) ).
fof(f2199,plain,
( sP15(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_167 ),
inference(avatar_component_clause,[],[f2197]) ).
fof(f2197,plain,
( spl103_167
<=> sP15(sK85(sK84(sK83(sK82(sK102))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_167])]) ).
fof(f3114,plain,
( ~ sP15(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_210 ),
inference(resolution,[],[f2601,f503]) ).
fof(f503,plain,
! [X0] :
( ~ p106(sK86(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ( p105(sK86(X0))
& ~ p106(sK86(X0))
& ~ p6(sK86(X0))
& r1(X0,sK86(X0)) )
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK86])],[f215,f216]) ).
fof(f216,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& ~ p106(X1)
& ~ p6(X1)
& r1(X0,X1) )
=> ( p105(sK86(X0))
& ~ p106(sK86(X0))
& ~ p6(sK86(X0))
& r1(X0,sK86(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& ~ p106(X1)
& ~ p6(X1)
& r1(X0,X1) )
| ~ sP15(X0) ),
inference(rectify,[],[f214]) ).
fof(f214,plain,
! [X1] :
( ? [X53] :
( p105(X53)
& ~ p106(X53)
& ~ p6(X53)
& r1(X1,X53) )
| ~ sP15(X1) ),
inference(nnf_transformation,[],[f26]) ).
fof(f2601,plain,
( p106(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_210 ),
inference(avatar_component_clause,[],[f2599]) ).
fof(f2599,plain,
( spl103_210
<=> p106(sK86(sK85(sK84(sK83(sK82(sK102)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_210])]) ).
fof(f3095,plain,
( ~ spl103_167
| ~ spl103_189
| spl103_244 ),
inference(avatar_contradiction_clause,[],[f3094]) ).
fof(f3094,plain,
( $false
| ~ spl103_167
| ~ spl103_189
| spl103_244 ),
inference(subsumption_resolution,[],[f3093,f2423]) ).
fof(f2423,plain,
( r1(sK102,sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_189 ),
inference(avatar_component_clause,[],[f2422]) ).
fof(f2422,plain,
( spl103_189
<=> r1(sK102,sK85(sK84(sK83(sK82(sK102))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_189])]) ).
fof(f3093,plain,
( ~ r1(sK102,sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_167
| spl103_244 ),
inference(resolution,[],[f3086,f2842]) ).
fof(f2842,plain,
( ! [X0] :
( r1(X0,sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ r1(X0,sK85(sK84(sK83(sK82(sK102))))) )
| ~ spl103_167 ),
inference(resolution,[],[f2461,f570]) ).
fof(f2461,plain,
( r1(sK85(sK84(sK83(sK82(sK102)))),sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_167 ),
inference(resolution,[],[f2199,f501]) ).
fof(f501,plain,
! [X0] :
( ~ sP15(X0)
| r1(X0,sK86(X0)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f3086,plain,
( ~ r1(sK102,sK86(sK85(sK84(sK83(sK82(sK102))))))
| spl103_244 ),
inference(avatar_component_clause,[],[f3084]) ).
fof(f3087,plain,
( spl103_243
| ~ spl103_244
| ~ spl103_219 ),
inference(avatar_split_clause,[],[f3077,f2733,f3084,f3080]) ).
fof(f3077,plain,
( ~ r1(sK102,sK86(sK85(sK84(sK83(sK82(sK102))))))
| sP61(sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_219 ),
inference(resolution,[],[f2904,f566]) ).
fof(f566,plain,
! [X1] :
( ~ r1(sK102,X1)
| sP61(X1) ),
inference(cnf_transformation,[],[f280]) ).
fof(f2904,plain,
( ! [X0] :
( r1(X0,sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ r1(X0,sK86(sK85(sK84(sK83(sK82(sK102)))))) )
| ~ spl103_219 ),
inference(resolution,[],[f2802,f570]) ).
fof(f2802,plain,
( r1(sK86(sK85(sK84(sK83(sK82(sK102))))),sK87(sK86(sK85(sK84(sK83(sK82(sK102)))))))
| ~ spl103_219 ),
inference(resolution,[],[f2735,f505]) ).
fof(f2749,plain,
( spl103_219
| spl103_210
| ~ spl103_188
| ~ spl103_211 ),
inference(avatar_split_clause,[],[f2748,f2604,f2418,f2599,f2733]) ).
fof(f2418,plain,
( spl103_188
<=> sP61(sK86(sK85(sK84(sK83(sK82(sK102)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_188])]) ).
fof(f2604,plain,
( spl103_211
<=> p105(sK86(sK85(sK84(sK83(sK82(sK102)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_211])]) ).
fof(f2748,plain,
( p106(sK86(sK85(sK84(sK83(sK82(sK102))))))
| sP14(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_188
| ~ spl103_211 ),
inference(subsumption_resolution,[],[f2640,f2606]) ).
fof(f2606,plain,
( p105(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_211 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f2640,plain,
( p106(sK86(sK85(sK84(sK83(sK82(sK102))))))
| sP14(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ p105(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_188 ),
inference(resolution,[],[f2476,f410]) ).
fof(f410,plain,
! [X0] :
( ~ sP34(X0)
| p106(X0)
| sP14(X0)
| ~ p105(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| ( p106(sK67(X0))
& ~ p107(sK67(X0))
& p7(sK67(X0))
& r1(X0,sK67(X0))
& sP14(X0) )
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f139,f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( p106(X1)
& ~ p107(X1)
& p7(X1)
& r1(X0,X1) )
=> ( p106(sK67(X0))
& ~ p107(sK67(X0))
& p7(sK67(X0))
& r1(X0,sK67(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| ( ? [X1] :
( p106(X1)
& ~ p107(X1)
& p7(X1)
& r1(X0,X1) )
& sP14(X0) )
| ~ sP34(X0) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X1] :
( ~ p105(X1)
| p106(X1)
| ( ? [X54] :
( p106(X54)
& ~ p107(X54)
& p7(X54)
& r1(X1,X54) )
& sP14(X1) )
| ~ sP34(X1) ),
inference(nnf_transformation,[],[f45]) ).
fof(f2476,plain,
( sP34(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_188 ),
inference(resolution,[],[f2420,f295]) ).
fof(f295,plain,
! [X0] :
( ~ sP61(X0)
| sP34(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f2420,plain,
( sP61(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_188 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2702,plain,
( ~ spl103_167
| spl103_211 ),
inference(avatar_contradiction_clause,[],[f2701]) ).
fof(f2701,plain,
( $false
| ~ spl103_167
| spl103_211 ),
inference(subsumption_resolution,[],[f2700,f2199]) ).
fof(f2700,plain,
( ~ sP15(sK85(sK84(sK83(sK82(sK102)))))
| spl103_211 ),
inference(resolution,[],[f2605,f504]) ).
fof(f504,plain,
! [X0] :
( p105(sK86(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f2605,plain,
( ~ p105(sK86(sK85(sK84(sK83(sK82(sK102))))))
| spl103_211 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f2460,plain,
( ~ spl103_124
| ~ spl103_158 ),
inference(avatar_contradiction_clause,[],[f2459]) ).
fof(f2459,plain,
( $false
| ~ spl103_124
| ~ spl103_158 ),
inference(subsumption_resolution,[],[f2458,f1770]) ).
fof(f1770,plain,
( sP16(sK84(sK83(sK82(sK102))))
| ~ spl103_124 ),
inference(avatar_component_clause,[],[f1768]) ).
fof(f1768,plain,
( spl103_124
<=> sP16(sK84(sK83(sK82(sK102)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_124])]) ).
fof(f2458,plain,
( ~ sP16(sK84(sK83(sK82(sK102))))
| ~ spl103_158 ),
inference(resolution,[],[f2078,f499]) ).
fof(f499,plain,
! [X0] :
( ~ p105(sK85(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ( p104(sK85(X0))
& ~ p105(sK85(X0))
& ~ p5(sK85(X0))
& r1(X0,sK85(X0)) )
| ~ sP16(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85])],[f211,f212]) ).
fof(f212,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) )
=> ( p104(sK85(X0))
& ~ p105(sK85(X0))
& ~ p5(sK85(X0))
& r1(X0,sK85(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) )
| ~ sP16(X0) ),
inference(rectify,[],[f210]) ).
fof(f210,plain,
! [X1] :
( ? [X51] :
( p104(X51)
& ~ p105(X51)
& ~ p5(X51)
& r1(X1,X51) )
| ~ sP16(X1) ),
inference(nnf_transformation,[],[f27]) ).
fof(f2078,plain,
( p105(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_158 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f2076,plain,
( spl103_158
<=> p105(sK85(sK84(sK83(sK82(sK102))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_158])]) ).
fof(f2433,plain,
( ~ spl103_124
| ~ spl103_140
| spl103_189 ),
inference(avatar_contradiction_clause,[],[f2432]) ).
fof(f2432,plain,
( $false
| ~ spl103_124
| ~ spl103_140
| spl103_189 ),
inference(subsumption_resolution,[],[f2431,f1923]) ).
fof(f1923,plain,
( r1(sK102,sK84(sK83(sK82(sK102))))
| ~ spl103_140 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f1922,plain,
( spl103_140
<=> r1(sK102,sK84(sK83(sK82(sK102)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_140])]) ).
fof(f2431,plain,
( ~ r1(sK102,sK84(sK83(sK82(sK102))))
| ~ spl103_124
| spl103_189 ),
inference(resolution,[],[f2424,f1846]) ).
fof(f1846,plain,
( ! [X0] :
( r1(X0,sK85(sK84(sK83(sK82(sK102)))))
| ~ r1(X0,sK84(sK83(sK82(sK102)))) )
| ~ spl103_124 ),
inference(resolution,[],[f1808,f570]) ).
fof(f1808,plain,
( r1(sK84(sK83(sK82(sK102))),sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_124 ),
inference(resolution,[],[f1770,f497]) ).
fof(f497,plain,
! [X0] :
( ~ sP16(X0)
| r1(X0,sK85(X0)) ),
inference(cnf_transformation,[],[f213]) ).
fof(f2424,plain,
( ~ r1(sK102,sK85(sK84(sK83(sK82(sK102)))))
| spl103_189 ),
inference(avatar_component_clause,[],[f2422]) ).
fof(f2425,plain,
( spl103_188
| ~ spl103_189
| ~ spl103_167 ),
inference(avatar_split_clause,[],[f2415,f2197,f2422,f2418]) ).
fof(f2415,plain,
( ~ r1(sK102,sK85(sK84(sK83(sK82(sK102)))))
| sP61(sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_167 ),
inference(resolution,[],[f2327,f566]) ).
fof(f2327,plain,
( ! [X0] :
( r1(X0,sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ r1(X0,sK85(sK84(sK83(sK82(sK102))))) )
| ~ spl103_167 ),
inference(resolution,[],[f2267,f570]) ).
fof(f2267,plain,
( r1(sK85(sK84(sK83(sK82(sK102)))),sK86(sK85(sK84(sK83(sK82(sK102))))))
| ~ spl103_167 ),
inference(resolution,[],[f2199,f501]) ).
fof(f2217,plain,
( spl103_167
| spl103_158
| ~ spl103_139
| ~ spl103_159 ),
inference(avatar_split_clause,[],[f2216,f2081,f1918,f2076,f2197]) ).
fof(f1918,plain,
( spl103_139
<=> sP61(sK85(sK84(sK83(sK82(sK102))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_139])]) ).
fof(f2081,plain,
( spl103_159
<=> p104(sK85(sK84(sK83(sK82(sK102))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_159])]) ).
fof(f2216,plain,
( p105(sK85(sK84(sK83(sK82(sK102)))))
| sP15(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_139
| ~ spl103_159 ),
inference(subsumption_resolution,[],[f2110,f2083]) ).
fof(f2083,plain,
( p104(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_159 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f2110,plain,
( p105(sK85(sK84(sK83(sK82(sK102)))))
| sP15(sK85(sK84(sK83(sK82(sK102)))))
| ~ p104(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_139 ),
inference(resolution,[],[f1949,f405]) ).
fof(f405,plain,
! [X0] :
( ~ sP35(X0)
| p105(X0)
| sP15(X0)
| ~ p104(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| ( p105(sK66(X0))
& ~ p106(sK66(X0))
& p6(sK66(X0))
& r1(X0,sK66(X0))
& sP15(X0) )
| ~ sP35(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f135,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& ~ p106(X1)
& p6(X1)
& r1(X0,X1) )
=> ( p105(sK66(X0))
& ~ p106(sK66(X0))
& p6(sK66(X0))
& r1(X0,sK66(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| ( ? [X1] :
( p105(X1)
& ~ p106(X1)
& p6(X1)
& r1(X0,X1) )
& sP15(X0) )
| ~ sP35(X0) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X1] :
( ~ p104(X1)
| p105(X1)
| ( ? [X52] :
( p105(X52)
& ~ p106(X52)
& p6(X52)
& r1(X1,X52) )
& sP15(X1) )
| ~ sP35(X1) ),
inference(nnf_transformation,[],[f46]) ).
fof(f1949,plain,
( sP35(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_139 ),
inference(resolution,[],[f1920,f296]) ).
fof(f296,plain,
! [X0] :
( ~ sP61(X0)
| sP35(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1920,plain,
( sP61(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_139 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f2164,plain,
( ~ spl103_124
| spl103_159 ),
inference(avatar_contradiction_clause,[],[f2163]) ).
fof(f2163,plain,
( $false
| ~ spl103_124
| spl103_159 ),
inference(subsumption_resolution,[],[f2162,f1770]) ).
fof(f2162,plain,
( ~ sP16(sK84(sK83(sK82(sK102))))
| spl103_159 ),
inference(resolution,[],[f2082,f500]) ).
fof(f500,plain,
! [X0] :
( p104(sK85(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f2082,plain,
( ~ p104(sK85(sK84(sK83(sK82(sK102)))))
| spl103_159 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f1933,plain,
( ~ spl103_90
| ~ spl103_95
| spl103_140 ),
inference(avatar_contradiction_clause,[],[f1932]) ).
fof(f1932,plain,
( $false
| ~ spl103_90
| ~ spl103_95
| spl103_140 ),
inference(subsumption_resolution,[],[f1931,f1462]) ).
fof(f1462,plain,
( r1(sK102,sK83(sK82(sK102)))
| ~ spl103_90 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1461,plain,
( spl103_90
<=> r1(sK102,sK83(sK82(sK102))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_90])]) ).
fof(f1931,plain,
( ~ r1(sK102,sK83(sK82(sK102)))
| ~ spl103_95
| spl103_140 ),
inference(resolution,[],[f1924,f1816]) ).
fof(f1816,plain,
( ! [X0] :
( r1(X0,sK84(sK83(sK82(sK102))))
| ~ r1(X0,sK83(sK82(sK102))) )
| ~ spl103_95 ),
inference(resolution,[],[f1500,f570]) ).
fof(f1500,plain,
( r1(sK83(sK82(sK102)),sK84(sK83(sK82(sK102))))
| ~ spl103_95 ),
inference(resolution,[],[f1489,f493]) ).
fof(f493,plain,
! [X0] :
( ~ sP17(X0)
| r1(X0,sK84(X0)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ( p103(sK84(X0))
& ~ p104(sK84(X0))
& ~ p4(sK84(X0))
& r1(X0,sK84(X0)) )
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84])],[f207,f208]) ).
fof(f208,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& ~ p4(X1)
& r1(X0,X1) )
=> ( p103(sK84(X0))
& ~ p104(sK84(X0))
& ~ p4(sK84(X0))
& r1(X0,sK84(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& ~ p4(X1)
& r1(X0,X1) )
| ~ sP17(X0) ),
inference(rectify,[],[f206]) ).
fof(f206,plain,
! [X1] :
( ? [X49] :
( p103(X49)
& ~ p104(X49)
& ~ p4(X49)
& r1(X1,X49) )
| ~ sP17(X1) ),
inference(nnf_transformation,[],[f28]) ).
fof(f1489,plain,
( sP17(sK83(sK82(sK102)))
| ~ spl103_95 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1487,plain,
( spl103_95
<=> sP17(sK83(sK82(sK102))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_95])]) ).
fof(f1924,plain,
( ~ r1(sK102,sK84(sK83(sK82(sK102))))
| spl103_140 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f1925,plain,
( spl103_139
| ~ spl103_140
| ~ spl103_124 ),
inference(avatar_split_clause,[],[f1915,f1768,f1922,f1918]) ).
fof(f1915,plain,
( ~ r1(sK102,sK84(sK83(sK82(sK102))))
| sP61(sK85(sK84(sK83(sK82(sK102)))))
| ~ spl103_124 ),
inference(resolution,[],[f1846,f566]) ).
fof(f1807,plain,
( ~ spl103_95
| ~ spl103_114 ),
inference(avatar_contradiction_clause,[],[f1806]) ).
fof(f1806,plain,
( $false
| ~ spl103_95
| ~ spl103_114 ),
inference(subsumption_resolution,[],[f1805,f1489]) ).
fof(f1805,plain,
( ~ sP17(sK83(sK82(sK102)))
| ~ spl103_114 ),
inference(resolution,[],[f1650,f495]) ).
fof(f495,plain,
! [X0] :
( ~ p104(sK84(X0))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f1650,plain,
( p104(sK84(sK83(sK82(sK102))))
| ~ spl103_114 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1648,plain,
( spl103_114
<=> p104(sK84(sK83(sK82(sK102)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_114])]) ).
fof(f1782,plain,
( spl103_124
| spl103_114
| ~ spl103_89
| ~ spl103_115 ),
inference(avatar_split_clause,[],[f1781,f1653,f1457,f1648,f1768]) ).
fof(f1457,plain,
( spl103_89
<=> sP61(sK84(sK83(sK82(sK102)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_89])]) ).
fof(f1653,plain,
( spl103_115
<=> p103(sK84(sK83(sK82(sK102)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_115])]) ).
fof(f1781,plain,
( p104(sK84(sK83(sK82(sK102))))
| sP16(sK84(sK83(sK82(sK102))))
| ~ spl103_89
| ~ spl103_115 ),
inference(subsumption_resolution,[],[f1687,f1655]) ).
fof(f1655,plain,
( p103(sK84(sK83(sK82(sK102))))
| ~ spl103_115 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1687,plain,
( p104(sK84(sK83(sK82(sK102))))
| sP16(sK84(sK83(sK82(sK102))))
| ~ p103(sK84(sK83(sK82(sK102))))
| ~ spl103_89 ),
inference(resolution,[],[f1517,f400]) ).
fof(f400,plain,
! [X0] :
( ~ sP36(X0)
| p104(X0)
| sP16(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( p104(sK65(X0))
& ~ p105(sK65(X0))
& p5(sK65(X0))
& r1(X0,sK65(X0))
& sP16(X0) )
| ~ sP36(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f131,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
=> ( p104(sK65(X0))
& ~ p105(sK65(X0))
& p5(sK65(X0))
& r1(X0,sK65(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
& sP16(X0) )
| ~ sP36(X0) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X1] :
( ~ p103(X1)
| p104(X1)
| ( ? [X50] :
( p104(X50)
& ~ p105(X50)
& p5(X50)
& r1(X1,X50) )
& sP16(X1) )
| ~ sP36(X1) ),
inference(nnf_transformation,[],[f47]) ).
fof(f1517,plain,
( sP36(sK84(sK83(sK82(sK102))))
| ~ spl103_89 ),
inference(resolution,[],[f1459,f297]) ).
fof(f297,plain,
! [X0] :
( ~ sP61(X0)
| sP36(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1459,plain,
( sP61(sK84(sK83(sK82(sK102))))
| ~ spl103_89 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1727,plain,
( ~ spl103_95
| spl103_115 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1726,plain,
( $false
| ~ spl103_95
| spl103_115 ),
inference(subsumption_resolution,[],[f1725,f1489]) ).
fof(f1725,plain,
( ~ sP17(sK83(sK82(sK102)))
| spl103_115 ),
inference(resolution,[],[f1654,f496]) ).
fof(f496,plain,
! [X0] :
( p103(sK84(X0))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f1654,plain,
( ~ p103(sK84(sK83(sK82(sK102))))
| spl103_115 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1499,plain,
( ~ spl103_44
| ~ spl103_69 ),
inference(avatar_contradiction_clause,[],[f1498]) ).
fof(f1498,plain,
( $false
| ~ spl103_44
| ~ spl103_69 ),
inference(subsumption_resolution,[],[f1497,f934]) ).
fof(f934,plain,
( sP18(sK82(sK102))
| ~ spl103_44 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f932,plain,
( spl103_44
<=> sP18(sK82(sK102)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_44])]) ).
fof(f1497,plain,
( ~ sP18(sK82(sK102))
| ~ spl103_69 ),
inference(resolution,[],[f1157,f491]) ).
fof(f491,plain,
! [X0] :
( ~ p103(sK83(X0))
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ( p102(sK83(X0))
& ~ p103(sK83(X0))
& ~ p3(sK83(X0))
& r1(X0,sK83(X0)) )
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83])],[f203,f204]) ).
fof(f204,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& ~ p3(X1)
& r1(X0,X1) )
=> ( p102(sK83(X0))
& ~ p103(sK83(X0))
& ~ p3(sK83(X0))
& r1(X0,sK83(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& ~ p3(X1)
& r1(X0,X1) )
| ~ sP18(X0) ),
inference(rectify,[],[f202]) ).
fof(f202,plain,
! [X1] :
( ? [X47] :
( p102(X47)
& ~ p103(X47)
& ~ p3(X47)
& r1(X1,X47) )
| ~ sP18(X1) ),
inference(nnf_transformation,[],[f29]) ).
fof(f1157,plain,
( p103(sK83(sK82(sK102)))
| ~ spl103_69 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1155,plain,
( spl103_69
<=> p103(sK83(sK82(sK102))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_69])]) ).
fof(f1490,plain,
( spl103_95
| spl103_69
| ~ spl103_44
| ~ spl103_70 ),
inference(avatar_split_clause,[],[f1485,f1160,f932,f1155,f1487]) ).
fof(f1160,plain,
( spl103_70
<=> p102(sK83(sK82(sK102))) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_70])]) ).
fof(f1485,plain,
( p103(sK83(sK82(sK102)))
| sP17(sK83(sK82(sK102)))
| ~ spl103_44
| ~ spl103_70 ),
inference(subsumption_resolution,[],[f1355,f1162]) ).
fof(f1162,plain,
( p102(sK83(sK82(sK102)))
| ~ spl103_70 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1355,plain,
( p103(sK83(sK82(sK102)))
| sP17(sK83(sK82(sK102)))
| ~ p102(sK83(sK82(sK102)))
| ~ spl103_44 ),
inference(resolution,[],[f1292,f395]) ).
fof(f395,plain,
! [X0] :
( ~ sP37(X0)
| p103(X0)
| sP17(X0)
| ~ p102(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( p103(sK64(X0))
& ~ p104(sK64(X0))
& p4(sK64(X0))
& r1(X0,sK64(X0))
& sP17(X0) )
| ~ sP37(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f127,f128]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
=> ( p103(sK64(X0))
& ~ p104(sK64(X0))
& p4(sK64(X0))
& r1(X0,sK64(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
& sP17(X0) )
| ~ sP37(X0) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X1] :
( ~ p102(X1)
| p103(X1)
| ( ? [X48] :
( p103(X48)
& ~ p104(X48)
& p4(X48)
& r1(X1,X48) )
& sP17(X1) )
| ~ sP37(X1) ),
inference(nnf_transformation,[],[f48]) ).
fof(f1292,plain,
( sP37(sK83(sK82(sK102)))
| ~ spl103_44 ),
inference(resolution,[],[f1273,f298]) ).
fof(f298,plain,
! [X0] :
( ~ sP61(X0)
| sP37(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1273,plain,
( sP61(sK83(sK82(sK102)))
| ~ spl103_44 ),
inference(subsumption_resolution,[],[f1268,f739]) ).
fof(f739,plain,
r1(sK102,sK82(sK102)),
inference(resolution,[],[f738,f485]) ).
fof(f485,plain,
! [X0] :
( ~ sP19(X0)
| r1(X0,sK82(X0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ( p101(sK82(X0))
& ~ p102(sK82(X0))
& ~ p2(sK82(X0))
& r1(X0,sK82(X0)) )
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK82])],[f199,f200]) ).
fof(f200,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( p101(sK82(X0))
& ~ p102(sK82(X0))
& ~ p2(sK82(X0))
& r1(X0,sK82(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP19(X0) ),
inference(rectify,[],[f198]) ).
fof(f198,plain,
! [X1] :
( ? [X45] :
( p101(X45)
& ~ p102(X45)
& ~ p2(X45)
& r1(X1,X45) )
| ~ sP19(X1) ),
inference(nnf_transformation,[],[f30]) ).
fof(f738,plain,
sP19(sK102),
inference(subsumption_resolution,[],[f737,f568]) ).
fof(f568,plain,
p100(sK102),
inference(cnf_transformation,[],[f280]) ).
fof(f737,plain,
( sP19(sK102)
| ~ p100(sK102) ),
inference(subsumption_resolution,[],[f736,f567]) ).
fof(f567,plain,
~ p101(sK102),
inference(cnf_transformation,[],[f280]) ).
fof(f736,plain,
( p101(sK102)
| sP19(sK102)
| ~ p100(sK102) ),
inference(resolution,[],[f385,f592]) ).
fof(f592,plain,
sP39(sK102),
inference(resolution,[],[f300,f571]) ).
fof(f571,plain,
sP61(sK102),
inference(resolution,[],[f569,f566]) ).
fof(f569,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f300,plain,
! [X0] :
( ~ sP61(X0)
| sP39(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f385,plain,
! [X0] :
( ~ sP39(X0)
| p101(X0)
| sP19(X0)
| ~ p100(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( p101(sK62(X0))
& ~ p102(sK62(X0))
& p2(sK62(X0))
& r1(X0,sK62(X0))
& sP19(X0) )
| ~ sP39(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f119,f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK62(X0))
& ~ p102(sK62(X0))
& p2(sK62(X0))
& r1(X0,sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
& sP19(X0) )
| ~ sP39(X0) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X1] :
( ~ p100(X1)
| p101(X1)
| ( ? [X44] :
( p101(X44)
& ~ p102(X44)
& p2(X44)
& r1(X1,X44) )
& sP19(X1) )
| ~ sP39(X1) ),
inference(nnf_transformation,[],[f50]) ).
fof(f1268,plain,
( ~ r1(sK102,sK82(sK102))
| sP61(sK83(sK82(sK102)))
| ~ spl103_44 ),
inference(resolution,[],[f1262,f566]) ).
fof(f1262,plain,
( ! [X0] :
( r1(X0,sK83(sK82(sK102)))
| ~ r1(X0,sK82(sK102)) )
| ~ spl103_44 ),
inference(resolution,[],[f1260,f570]) ).
fof(f1260,plain,
( r1(sK82(sK102),sK83(sK82(sK102)))
| ~ spl103_44 ),
inference(resolution,[],[f934,f489]) ).
fof(f489,plain,
! [X0] :
( ~ sP18(X0)
| r1(X0,sK83(X0)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1472,plain,
( ~ spl103_44
| spl103_90 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1471,plain,
( $false
| ~ spl103_44
| spl103_90 ),
inference(subsumption_resolution,[],[f1470,f739]) ).
fof(f1470,plain,
( ~ r1(sK102,sK82(sK102))
| ~ spl103_44
| spl103_90 ),
inference(resolution,[],[f1463,f1262]) ).
fof(f1463,plain,
( ~ r1(sK102,sK83(sK82(sK102)))
| spl103_90 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1464,plain,
( spl103_89
| ~ spl103_90
| ~ spl103_44
| spl103_69
| ~ spl103_70 ),
inference(avatar_split_clause,[],[f1454,f1160,f1155,f932,f1461,f1457]) ).
fof(f1454,plain,
( ~ r1(sK102,sK83(sK82(sK102)))
| sP61(sK84(sK83(sK82(sK102))))
| ~ spl103_44
| spl103_69
| ~ spl103_70 ),
inference(resolution,[],[f1400,f566]) ).
fof(f1400,plain,
( ! [X0] :
( r1(X0,sK84(sK83(sK82(sK102))))
| ~ r1(X0,sK83(sK82(sK102))) )
| ~ spl103_44
| spl103_69
| ~ spl103_70 ),
inference(resolution,[],[f1396,f570]) ).
fof(f1396,plain,
( r1(sK83(sK82(sK102)),sK84(sK83(sK82(sK102))))
| ~ spl103_44
| spl103_69
| ~ spl103_70 ),
inference(resolution,[],[f1357,f493]) ).
fof(f1357,plain,
( sP17(sK83(sK82(sK102)))
| ~ spl103_44
| spl103_69
| ~ spl103_70 ),
inference(subsumption_resolution,[],[f1356,f1162]) ).
fof(f1356,plain,
( sP17(sK83(sK82(sK102)))
| ~ p102(sK83(sK82(sK102)))
| ~ spl103_44
| spl103_69 ),
inference(subsumption_resolution,[],[f1355,f1156]) ).
fof(f1156,plain,
( ~ p103(sK83(sK82(sK102)))
| spl103_69 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1259,plain,
~ spl103_40,
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1258,plain,
( $false
| ~ spl103_40 ),
inference(subsumption_resolution,[],[f1257,f738]) ).
fof(f1257,plain,
( ~ sP19(sK102)
| ~ spl103_40 ),
inference(resolution,[],[f901,f487]) ).
fof(f487,plain,
! [X0] :
( ~ p102(sK82(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f901,plain,
( p102(sK82(sK102))
| ~ spl103_40 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f899,plain,
( spl103_40
<=> p102(sK82(sK102)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_40])]) ).
fof(f1254,plain,
( ~ spl103_44
| spl103_70 ),
inference(avatar_split_clause,[],[f1231,f1160,f932]) ).
fof(f1231,plain,
( ~ sP18(sK82(sK102))
| spl103_70 ),
inference(resolution,[],[f1161,f492]) ).
fof(f492,plain,
! [X0] :
( p102(sK83(X0))
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1161,plain,
( ~ p102(sK83(sK82(sK102)))
| spl103_70 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1247,plain,
( spl103_44
| spl103_40
| ~ spl103_41 ),
inference(avatar_split_clause,[],[f1246,f904,f899,f932]) ).
fof(f904,plain,
( spl103_41
<=> p101(sK82(sK102)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_41])]) ).
fof(f1246,plain,
( p102(sK82(sK102))
| sP18(sK82(sK102))
| ~ spl103_41 ),
inference(subsumption_resolution,[],[f914,f906]) ).
fof(f906,plain,
( p101(sK82(sK102))
| ~ spl103_41 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f914,plain,
( p102(sK82(sK102))
| sP18(sK82(sK102))
| ~ p101(sK82(sK102)) ),
inference(resolution,[],[f760,f390]) ).
fof(f390,plain,
! [X0] :
( ~ sP38(X0)
| p102(X0)
| sP18(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( p102(sK63(X0))
& ~ p103(sK63(X0))
& p3(sK63(X0))
& r1(X0,sK63(X0))
& sP18(X0) )
| ~ sP38(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f123,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK63(X0))
& ~ p103(sK63(X0))
& p3(sK63(X0))
& r1(X0,sK63(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
& sP18(X0) )
| ~ sP38(X0) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X1] :
( ~ p101(X1)
| p102(X1)
| ( ? [X46] :
( p102(X46)
& ~ p103(X46)
& p3(X46)
& r1(X1,X46) )
& sP18(X1) )
| ~ sP38(X1) ),
inference(nnf_transformation,[],[f49]) ).
fof(f760,plain,
sP38(sK82(sK102)),
inference(resolution,[],[f740,f299]) ).
fof(f299,plain,
! [X0] :
( ~ sP61(X0)
| sP38(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f740,plain,
sP61(sK82(sK102)),
inference(resolution,[],[f739,f566]) ).
fof(f928,plain,
spl103_41,
inference(avatar_contradiction_clause,[],[f927]) ).
fof(f927,plain,
( $false
| spl103_41 ),
inference(subsumption_resolution,[],[f926,f738]) ).
fof(f926,plain,
( ~ sP19(sK102)
| spl103_41 ),
inference(resolution,[],[f905,f488]) ).
fof(f488,plain,
! [X0] :
( p101(sK82(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f905,plain,
( ~ p101(sK82(sK102))
| spl103_41 ),
inference(avatar_component_clause,[],[f904]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL674+1.020 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 16:50:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.19/0.35 Running first-order theorem proving
% 0.19/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (30054)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.19/0.42 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (30055)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.19/0.42 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (30057)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.19/0.42 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (30056)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.19/0.42 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (30053)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.19/0.42 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (30058)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.19/0.42 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (30059)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.46 % (30059)Instruction limit reached!
% 0.21/0.46 % (30059)------------------------------
% 0.21/0.46 % (30059)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46 % (30059)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46 % (30059)Termination reason: Time limit
% 0.21/0.46 % (30059)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (30059)Memory used [KB]: 1830
% 0.21/0.46 % (30059)Time elapsed: 0.048 s
% 0.21/0.46 % (30059)Instructions burned: 106 (million)
% 0.21/0.47 % (30057)Instruction limit reached!
% 0.21/0.47 % (30057)------------------------------
% 0.21/0.47 % (30057)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (30057)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (30057)Termination reason: Time limit
% 0.21/0.47 % (30057)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (30057)Memory used [KB]: 2324
% 0.21/0.47 % (30057)Time elapsed: 0.050 s
% 0.21/0.47 % (30057)Instructions burned: 109 (million)
% 0.21/0.47 % (30056)Instruction limit reached!
% 0.21/0.47 % (30056)------------------------------
% 0.21/0.47 % (30056)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (30056)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (30056)Termination reason: Time limit
% 0.21/0.47 % (30056)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (30056)Memory used [KB]: 4214
% 0.21/0.47 % (30056)Time elapsed: 0.055 s
% 0.21/0.47 % (30056)Instructions burned: 104 (million)
% 0.21/0.47 % (30058)Instruction limit reached!
% 0.21/0.47 % (30058)------------------------------
% 0.21/0.47 % (30058)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (30058)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (30058)Termination reason: Time limit
% 0.21/0.47 % (30058)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (30058)Memory used [KB]: 3870
% 0.21/0.47 % (30058)Time elapsed: 0.056 s
% 0.21/0.47 % (30058)Instructions burned: 117 (million)
% 0.21/0.50 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50 % (30061)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=319:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/319Mi)
% 0.21/0.51 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (30060)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2998ds/110Mi)
% 0.21/0.51 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (30063)lrs+1002_1:1_sil=16000:sp=occurrence:sos=on:urr=on:i=440:ss=axioms:sgt=10_0 on theBenchmark for (2998ds/440Mi)
% 0.21/0.51 % (30052)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (30062)ott+1010_1:3_sil=8000:tgt=full:sp=occurrence:urr=on:br=off:nicw=on:i=121:sd=2:ss=axioms:sgt=8:gsp=on_0 on theBenchmark for (2998ds/121Mi)
% 0.21/0.54 % (30060)Instruction limit reached!
% 0.21/0.54 % (30060)------------------------------
% 0.21/0.54 % (30060)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54 % (30060)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54 % (30060)Termination reason: Time limit
% 0.21/0.54 % (30060)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (30060)Memory used [KB]: 2694
% 0.21/0.54 % (30060)Time elapsed: 0.031 s
% 0.21/0.54 % (30060)Instructions burned: 111 (million)
% 0.21/0.55 % (30062)Instruction limit reached!
% 0.21/0.55 % (30062)------------------------------
% 0.21/0.55 % (30062)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.55 % (30062)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.55 % (30062)Termination reason: Time limit
% 0.21/0.55 % (30062)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (30062)Memory used [KB]: 2838
% 0.21/0.55 % (30062)Time elapsed: 0.036 s
% 0.21/0.55 % (30062)Instructions burned: 121 (million)
% 0.21/0.56 % (30061)Instruction limit reached!
% 0.21/0.56 % (30061)------------------------------
% 0.21/0.56 % (30061)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.56 % (30061)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.56 % (30061)Termination reason: Time limit
% 0.21/0.56 % (30061)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (30061)Memory used [KB]: 1882
% 0.21/0.56 % (30061)Time elapsed: 0.063 s
% 0.21/0.56 % (30061)Instructions burned: 324 (million)
% 1.61/0.57 % (30052)Running in auto input_syntax mode. Trying TPTP
% 1.61/0.57 % (30064)lrs+1011_1:128_sil=2000:i=230:fsr=off:nwc=2.0_0 on theBenchmark for (2998ds/230Mi)
% 1.61/0.58 % (30052)Running in auto input_syntax mode. Trying TPTP
% 1.61/0.58 % (30065)dis+2_1:3_sil=8000:nwc=5.0:st=3.0:s2a=on:i=119:s2at=2.5:sd=3:nm=2:ss=axioms_0 on theBenchmark for (2998ds/119Mi)
% 1.71/0.60 % (30052)Running in auto input_syntax mode. Trying TPTP
% 1.71/0.60 % (30066)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=113:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2998ds/113Mi)
% 1.71/0.61 % (30065)Instruction limit reached!
% 1.71/0.61 % (30065)------------------------------
% 1.71/0.61 % (30065)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.71/0.61 % (30065)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.71/0.61 % (30065)Termination reason: Time limit
% 1.71/0.61 % (30065)Termination phase: Saturation
% 1.71/0.61
% 1.71/0.61 % (30065)Memory used [KB]: 3415
% 1.71/0.61 % (30065)Time elapsed: 0.034 s
% 1.71/0.61 % (30065)Instructions burned: 119 (million)
% 1.71/0.63 % (30063)Instruction limit reached!
% 1.71/0.63 % (30063)------------------------------
% 1.71/0.63 % (30063)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.71/0.63 % (30063)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.71/0.63 % (30063)Termination reason: Time limit
% 1.71/0.63 % (30063)Termination phase: Saturation
% 1.71/0.63
% 1.71/0.63 % (30063)Memory used [KB]: 5887
% 1.71/0.63 % (30063)Time elapsed: 0.121 s
% 1.71/0.63 % (30063)Instructions burned: 442 (million)
% 1.71/0.63 % (30066)Instruction limit reached!
% 1.71/0.63 % (30066)------------------------------
% 1.71/0.63 % (30066)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.71/0.63 % (30066)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.71/0.63 % (30066)Termination reason: Time limit
% 1.71/0.63 % (30066)Termination phase: Saturation
% 1.71/0.63
% 1.71/0.63 % (30066)Memory used [KB]: 2439
% 1.71/0.63 % (30066)Time elapsed: 0.056 s
% 1.71/0.63 % (30066)Instructions burned: 116 (million)
% 2.03/0.63 % (30064)Instruction limit reached!
% 2.03/0.63 % (30064)------------------------------
% 2.03/0.63 % (30064)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.03/0.63 % (30064)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.03/0.63 % (30064)Termination reason: Time limit
% 2.03/0.63 % (30064)Termination phase: Saturation
% 2.03/0.63
% 2.03/0.63 % (30064)Memory used [KB]: 2896
% 2.03/0.63 % (30064)Time elapsed: 0.065 s
% 2.03/0.63 % (30064)Instructions burned: 233 (million)
% 2.08/0.65 % (30052)Running in auto input_syntax mode. Trying TPTP
% 2.08/0.65 % (30067)dis-1010_1:4_sil=2000:tgt=ground:i=128:sd=2:nm=6:av=off:gsp=on:ss=axioms:nwc=10.0_0 on theBenchmark for (2997ds/128Mi)
% 2.08/0.66 % (30052)Running in auto input_syntax mode. Trying TPTP
% 2.08/0.66 % (30068)lrs+4_1:8_sil=32000:abs=on:nwc=5.0:updr=off:i=963:nm=6:plsq=on:plsql=on:plsqc=1:plsqr=2,1_0 on theBenchmark for (2997ds/963Mi)
% 2.08/0.66 % (30052)Running in auto input_syntax mode. Trying TPTP
% 2.08/0.66 % (30069)dis+1002_1:128_to=lpo:sil=2000:fd=preordered:i=204:fsr=off:av=off:sos=on:s2a=on_0 on theBenchmark for (2997ds/204Mi)
% 2.08/0.67 % (30052)Running in auto input_syntax mode. Trying TPTP
% 2.08/0.67 % (30070)lrs+1011_1:1_sil=2000:plsq=on:plsqr=32,1:fs=off:gs=on:i=516:nm=0:fsr=off:rawr=on:nwc=0.5744209687727792_0 on theBenchmark for (2997ds/516Mi)
% 2.08/0.68 % (30067)Instruction limit reached!
% 2.08/0.68 % (30067)------------------------------
% 2.08/0.68 % (30067)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.08/0.68 % (30067)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.08/0.68 % (30067)Termination reason: Time limit
% 2.08/0.68 % (30067)Termination phase: Saturation
% 2.08/0.68
% 2.08/0.68 % (30067)Memory used [KB]: 2786
% 2.08/0.68 % (30067)Time elapsed: 0.060 s
% 2.08/0.68 % (30067)Instructions burned: 130 (million)
% 2.08/0.68 % (30068)First to succeed.
% 2.08/0.69 % (30068)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30052"
% 2.08/0.69 % (30052)Running in auto input_syntax mode. Trying TPTP
% 2.08/0.69 % (30068)Refutation found. Thanks to Tanya!
% 2.08/0.69 % SZS status Theorem for theBenchmark
% 2.08/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.69 % (30068)------------------------------
% 2.08/0.69 % (30068)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.08/0.69 % (30068)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.08/0.69 % (30068)Termination reason: Refutation
% 2.08/0.69
% 2.08/0.69 % (30068)Memory used [KB]: 2779
% 2.08/0.69 % (30068)Time elapsed: 0.028 s
% 2.08/0.69 % (30068)Instructions burned: 83 (million)
% 2.08/0.69 % (30068)------------------------------
% 2.08/0.69 % (30068)------------------------------
% 2.08/0.69 % (30052)Success in time 0.339 s
%------------------------------------------------------------------------------