%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL674+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:51:26 EDT 2024
% Result : Theorem 2.27s 0.64s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 72
% Syntax : Number of formulae : 209 ( 46 unt; 0 def)
% Number of atoms : 3274 ( 0 equ)
% Maximal formula atoms : 331 ( 15 avg)
% Number of connectives : 5382 (2317 ~;1584 |;1473 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 8 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 97 ( 96 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 698 ( 580 !; 118 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27284,plain,
$false,
inference(subsumption_resolution,[],[f27250,f11838]) ).
fof(f11838,plain,
~ p7(sK73(sK70(sK68(sK66(sK64(sK62(sK92))))))),
inference(resolution,[],[f11819,f415]) ).
fof(f415,plain,
! [X0] :
( ~ sP18(X0)
| ~ p7(sK73(X0)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( p106(sK73(X0))
& ~ p107(sK73(X0))
& ~ p7(sK73(X0))
& r1(X0,sK73(X0)) )
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f184,f185]) ).
fof(f185,plain,
! [X0] :
( ? [X1] :
( p106(X1)
& ~ p107(X1)
& ~ p7(X1)
& r1(X0,X1) )
=> ( p106(sK73(X0))
& ~ p107(sK73(X0))
& ~ p7(sK73(X0))
& r1(X0,sK73(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0] :
( ? [X1] :
( p106(X1)
& ~ p107(X1)
& ~ p7(X1)
& r1(X0,X1) )
| ~ sP18(X0) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X1] :
( ? [X45] :
( p106(X45)
& ~ p107(X45)
& ~ p7(X45)
& r1(X1,X45) )
| ~ sP18(X1) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1] :
( ? [X45] :
( p106(X45)
& ~ p107(X45)
& ~ p7(X45)
& r1(X1,X45) )
| ~ sP18(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f11819,plain,
sP18(sK70(sK68(sK66(sK64(sK62(sK92)))))),
inference(subsumption_resolution,[],[f11818,f5258]) ).
fof(f5258,plain,
p105(sK70(sK68(sK66(sK64(sK62(sK92)))))),
inference(resolution,[],[f5245,f405]) ).
fof(f405,plain,
! [X0] :
( ~ sP21(X0)
| p105(sK70(X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( p105(sK70(X0))
& ~ p106(sK70(X0))
& p6(sK70(X0))
& r1(X0,sK70(X0)) )
| ~ sP21(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f172,f173]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& ~ p106(X1)
& p6(X1)
& r1(X0,X1) )
=> ( p105(sK70(X0))
& ~ p106(sK70(X0))
& p6(sK70(X0))
& r1(X0,sK70(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& ~ p106(X1)
& p6(X1)
& r1(X0,X1) )
| ~ sP21(X0) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X1] :
( ? [X42] :
( p105(X42)
& ~ p106(X42)
& p6(X42)
& r1(X1,X42) )
| ~ sP21(X1) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1] :
( ? [X42] :
( p105(X42)
& ~ p106(X42)
& p6(X42)
& r1(X1,X42) )
| ~ sP21(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f5245,plain,
sP21(sK68(sK66(sK64(sK62(sK92))))),
inference(subsumption_resolution,[],[f5244,f1912]) ).
fof(f1912,plain,
p104(sK68(sK66(sK64(sK62(sK92))))),
inference(resolution,[],[f1861,f397]) ).
fof(f397,plain,
! [X0] :
( ~ sP23(X0)
| p104(sK68(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( p104(sK68(X0))
& ~ p105(sK68(X0))
& p5(sK68(X0))
& r1(X0,sK68(X0)) )
| ~ sP23(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f164,f165]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
=> ( p104(sK68(X0))
& ~ p105(sK68(X0))
& p5(sK68(X0))
& r1(X0,sK68(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
| ~ sP23(X0) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X1] :
( ? [X40] :
( p104(X40)
& ~ p105(X40)
& p5(X40)
& r1(X1,X40) )
| ~ sP23(X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1] :
( ? [X40] :
( p104(X40)
& ~ p105(X40)
& p5(X40)
& r1(X1,X40) )
| ~ sP23(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1861,plain,
sP23(sK66(sK64(sK62(sK92)))),
inference(subsumption_resolution,[],[f1860,f918]) ).
fof(f918,plain,
p103(sK66(sK64(sK62(sK92)))),
inference(resolution,[],[f885,f389]) ).
fof(f389,plain,
! [X0] :
( ~ sP25(X0)
| p103(sK66(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( p103(sK66(X0))
& ~ p104(sK66(X0))
& p4(sK66(X0))
& r1(X0,sK66(X0)) )
| ~ sP25(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f156,f157]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
=> ( p103(sK66(X0))
& ~ p104(sK66(X0))
& p4(sK66(X0))
& r1(X0,sK66(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
| ~ sP25(X0) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X1] :
( ? [X38] :
( p103(X38)
& ~ p104(X38)
& p4(X38)
& r1(X1,X38) )
| ~ sP25(X1) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1] :
( ? [X38] :
( p103(X38)
& ~ p104(X38)
& p4(X38)
& r1(X1,X38) )
| ~ sP25(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f885,plain,
sP25(sK64(sK62(sK92))),
inference(subsumption_resolution,[],[f884,f687]) ).
fof(f687,plain,
p102(sK64(sK62(sK92))),
inference(resolution,[],[f674,f381]) ).
fof(f381,plain,
! [X0] :
( ~ sP27(X0)
| p102(sK64(X0)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( p102(sK64(X0))
& ~ p103(sK64(X0))
& p3(sK64(X0))
& r1(X0,sK64(X0)) )
| ~ sP27(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f148,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK64(X0))
& ~ p103(sK64(X0))
& p3(sK64(X0))
& r1(X0,sK64(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
| ~ sP27(X0) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X1] :
( ? [X36] :
( p102(X36)
& ~ p103(X36)
& p3(X36)
& r1(X1,X36) )
| ~ sP27(X1) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1] :
( ? [X36] :
( p102(X36)
& ~ p103(X36)
& p3(X36)
& r1(X1,X36) )
| ~ sP27(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f674,plain,
sP27(sK62(sK92)),
inference(subsumption_resolution,[],[f673,f604]) ).
fof(f604,plain,
p101(sK62(sK92)),
inference(resolution,[],[f602,f373]) ).
fof(f373,plain,
! [X0] :
( ~ sP29(X0)
| p101(sK62(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( p101(sK62(X0))
& ~ p102(sK62(X0))
& p2(sK62(X0))
& r1(X0,sK62(X0)) )
| ~ sP29(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f140,f141]) ).
fof(f141,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(f140,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
| ~ sP29(X0) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X1] :
( ? [X34] :
( p101(X34)
& ~ p102(X34)
& p2(X34)
& r1(X1,X34) )
| ~ sP29(X1) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1] :
( ? [X34] :
( p101(X34)
& ~ p102(X34)
& p2(X34)
& r1(X1,X34) )
| ~ sP29(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f602,plain,
sP29(sK92),
inference(subsumption_resolution,[],[f601,f491]) ).
fof(f491,plain,
p100(sK92),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( p100(sK92)
& ~ p101(sK92)
& ! [X1] :
( sP61(X1)
| ~ r1(sK92,X1) )
& ! [X2] :
( p7(X2)
| ~ r1(sK92,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92])],[f259,f260]) ).
fof(f260,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP61(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( p7(X2)
| ~ r1(X0,X2) ) )
=> ( p100(sK92)
& ~ p101(sK92)
& ! [X1] :
( sP61(X1)
| ~ r1(sK92,X1) )
& ! [X2] :
( p7(X2)
| ~ r1(sK92,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP61(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( p7(X2)
| ~ r1(X0,X2) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP61(X1)
| ~ r1(X0,X1) )
& ! [X64] :
( p7(X64)
| ~ r1(X0,X64) ) ),
inference(definition_folding,[],[f9,f73,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]) ).
fof(f12,plain,
! [X1] :
( ? [X63] :
( p115(X63)
& ~ p16(X63)
& r1(X1,X63) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f13,plain,
! [X1] :
( ? [X62] :
( p115(X62)
& p16(X62)
& r1(X1,X62) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X1] :
( ? [X61] :
( p114(X61)
& ~ p115(X61)
& ~ p15(X61)
& r1(X1,X61) )
| ~ sP2(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,plain,
! [X1] :
( ? [X60] :
( p114(X60)
& ~ p115(X60)
& p15(X60)
& r1(X1,X60) )
| ~ sP3(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f16,plain,
! [X1] :
( ? [X59] :
( p113(X59)
& ~ p114(X59)
& ~ p14(X59)
& r1(X1,X59) )
| ~ sP4(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,plain,
! [X1] :
( ? [X58] :
( p113(X58)
& ~ p114(X58)
& p14(X58)
& r1(X1,X58) )
| ~ sP5(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,plain,
! [X1] :
( ? [X57] :
( p112(X57)
& ~ p113(X57)
& ~ p13(X57)
& r1(X1,X57) )
| ~ sP6(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f19,plain,
! [X1] :
( ? [X56] :
( p112(X56)
& ~ p113(X56)
& p13(X56)
& r1(X1,X56) )
| ~ sP7(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
! [X1] :
( ? [X55] :
( p111(X55)
& ~ p112(X55)
& ~ p12(X55)
& r1(X1,X55) )
| ~ sP8(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f21,plain,
! [X1] :
( ? [X54] :
( p111(X54)
& ~ p112(X54)
& p12(X54)
& r1(X1,X54) )
| ~ sP9(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f22,plain,
! [X1] :
( ? [X53] :
( p110(X53)
& ~ p111(X53)
& ~ p11(X53)
& r1(X1,X53) )
| ~ sP10(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f23,plain,
! [X1] :
( ? [X52] :
( p110(X52)
& ~ p111(X52)
& p11(X52)
& r1(X1,X52) )
| ~ sP11(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f24,plain,
! [X1] :
( ? [X51] :
( p109(X51)
& ~ p110(X51)
& ~ p10(X51)
& r1(X1,X51) )
| ~ sP12(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f25,plain,
! [X1] :
( ? [X50] :
( p109(X50)
& ~ p110(X50)
& p10(X50)
& r1(X1,X50) )
| ~ sP13(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f26,plain,
! [X1] :
( ? [X49] :
( p108(X49)
& ~ p109(X49)
& ~ p9(X49)
& r1(X1,X49) )
| ~ sP14(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f27,plain,
! [X1] :
( ? [X48] :
( p108(X48)
& ~ p109(X48)
& p9(X48)
& r1(X1,X48) )
| ~ sP15(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f28,plain,
! [X1] :
( ? [X47] :
( p107(X47)
& ~ p108(X47)
& ~ p8(X47)
& r1(X1,X47) )
| ~ sP16(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f29,plain,
! [X1] :
( ? [X46] :
( p107(X46)
& ~ p108(X46)
& p8(X46)
& r1(X1,X46) )
| ~ sP17(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f31,plain,
! [X1] :
( ? [X44] :
( p106(X44)
& ~ p107(X44)
& p7(X44)
& r1(X1,X44) )
| ~ sP19(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f32,plain,
! [X1] :
( ? [X43] :
( p105(X43)
& ~ p106(X43)
& ~ p6(X43)
& r1(X1,X43) )
| ~ sP20(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f34,plain,
! [X1] :
( ? [X41] :
( p104(X41)
& ~ p105(X41)
& ~ p5(X41)
& r1(X1,X41) )
| ~ sP22(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f36,plain,
! [X1] :
( ? [X39] :
( p103(X39)
& ~ p104(X39)
& ~ p4(X39)
& r1(X1,X39) )
| ~ sP24(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f38,plain,
! [X1] :
( ? [X37] :
( p102(X37)
& ~ p103(X37)
& ~ p3(X37)
& r1(X1,X37) )
| ~ sP26(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f40,plain,
! [X1] :
( ? [X35] :
( p101(X35)
& ~ p102(X35)
& ~ p2(X35)
& r1(X1,X35) )
| ~ sP28(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f42,plain,
! [X1] :
( ~ p114(X1)
| p115(X1)
| ( sP1(X1)
& sP0(X1) )
| ~ sP30(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f43,plain,
! [X1] :
( ~ p113(X1)
| p114(X1)
| ( sP3(X1)
& sP2(X1) )
| ~ sP31(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f44,plain,
! [X1] :
( ~ p112(X1)
| p113(X1)
| ( sP5(X1)
& sP4(X1) )
| ~ sP32(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f45,plain,
! [X1] :
( ~ p111(X1)
| p112(X1)
| ( sP7(X1)
& sP6(X1) )
| ~ sP33(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f46,plain,
! [X1] :
( ~ p110(X1)
| p111(X1)
| ( sP9(X1)
& sP8(X1) )
| ~ sP34(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f47,plain,
! [X1] :
( ~ p109(X1)
| p110(X1)
| ( sP11(X1)
& sP10(X1) )
| ~ sP35(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f48,plain,
! [X1] :
( ~ p108(X1)
| p109(X1)
| ( sP13(X1)
& sP12(X1) )
| ~ sP36(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f49,plain,
! [X1] :
( ~ p107(X1)
| p108(X1)
| ( sP15(X1)
& sP14(X1) )
| ~ sP37(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f50,plain,
! [X1] :
( ~ p106(X1)
| p107(X1)
| ( sP17(X1)
& sP16(X1) )
| ~ sP38(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f51,plain,
! [X1] :
( ~ p105(X1)
| p106(X1)
| ( sP19(X1)
& sP18(X1) )
| ~ sP39(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f52,plain,
! [X1] :
( ~ p104(X1)
| p105(X1)
| ( sP21(X1)
& sP20(X1) )
| ~ sP40(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f53,plain,
! [X1] :
( ~ p103(X1)
| p104(X1)
| ( sP23(X1)
& sP22(X1) )
| ~ sP41(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f54,plain,
! [X1] :
( ~ p102(X1)
| p103(X1)
| ( sP25(X1)
& sP24(X1) )
| ~ sP42(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f55,plain,
! [X1] :
( ~ p101(X1)
| p102(X1)
| ( sP27(X1)
& sP26(X1) )
| ~ sP43(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f56,plain,
! [X1] :
( ~ p100(X1)
| p101(X1)
| ( sP29(X1)
& sP28(X1) )
| ~ sP44(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f57,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(f58,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(f59,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(f60,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(f61,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(f62,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(f63,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(f64,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(f65,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(f66,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(f67,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(f68,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(f69,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(f70,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(f71,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(f72,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(f73,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) )
& 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) )
| ~ sP61(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f9,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) )
& ( ~ 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) ) ) ) )
& ( ~ p100(X1)
| p101(X1)
| ( ? [X34] :
( p101(X34)
& ~ p102(X34)
& p2(X34)
& r1(X1,X34) )
& ? [X35] :
( p101(X35)
& ~ p102(X35)
& ~ p2(X35)
& r1(X1,X35) ) ) )
& ( ~ p101(X1)
| p102(X1)
| ( ? [X36] :
( p102(X36)
& ~ p103(X36)
& p3(X36)
& r1(X1,X36) )
& ? [X37] :
( p102(X37)
& ~ p103(X37)
& ~ p3(X37)
& r1(X1,X37) ) ) )
& ( ~ p102(X1)
| p103(X1)
| ( ? [X38] :
( p103(X38)
& ~ p104(X38)
& p4(X38)
& r1(X1,X38) )
& ? [X39] :
( p103(X39)
& ~ p104(X39)
& ~ p4(X39)
& r1(X1,X39) ) ) )
& ( ~ p103(X1)
| p104(X1)
| ( ? [X40] :
( p104(X40)
& ~ p105(X40)
& p5(X40)
& r1(X1,X40) )
& ? [X41] :
( p104(X41)
& ~ p105(X41)
& ~ p5(X41)
& r1(X1,X41) ) ) )
& ( ~ p104(X1)
| p105(X1)
| ( ? [X42] :
( p105(X42)
& ~ p106(X42)
& p6(X42)
& r1(X1,X42) )
& ? [X43] :
( p105(X43)
& ~ p106(X43)
& ~ p6(X43)
& r1(X1,X43) ) ) )
& ( ~ p105(X1)
| p106(X1)
| ( ? [X44] :
( p106(X44)
& ~ p107(X44)
& p7(X44)
& r1(X1,X44) )
& ? [X45] :
( p106(X45)
& ~ p107(X45)
& ~ p7(X45)
& r1(X1,X45) ) ) )
& ( ~ p106(X1)
| p107(X1)
| ( ? [X46] :
( p107(X46)
& ~ p108(X46)
& p8(X46)
& r1(X1,X46) )
& ? [X47] :
( p107(X47)
& ~ p108(X47)
& ~ p8(X47)
& r1(X1,X47) ) ) )
& ( ~ p107(X1)
| p108(X1)
| ( ? [X48] :
( p108(X48)
& ~ p109(X48)
& p9(X48)
& r1(X1,X48) )
& ? [X49] :
( p108(X49)
& ~ p109(X49)
& ~ p9(X49)
& r1(X1,X49) ) ) )
& ( ~ p108(X1)
| p109(X1)
| ( ? [X50] :
( p109(X50)
& ~ p110(X50)
& p10(X50)
& r1(X1,X50) )
& ? [X51] :
( p109(X51)
& ~ p110(X51)
& ~ p10(X51)
& r1(X1,X51) ) ) )
& ( ~ p109(X1)
| p110(X1)
| ( ? [X52] :
( p110(X52)
& ~ p111(X52)
& p11(X52)
& r1(X1,X52) )
& ? [X53] :
( p110(X53)
& ~ p111(X53)
& ~ p11(X53)
& r1(X1,X53) ) ) )
& ( ~ p110(X1)
| p111(X1)
| ( ? [X54] :
( p111(X54)
& ~ p112(X54)
& p12(X54)
& r1(X1,X54) )
& ? [X55] :
( p111(X55)
& ~ p112(X55)
& ~ p12(X55)
& r1(X1,X55) ) ) )
& ( ~ p111(X1)
| p112(X1)
| ( ? [X56] :
( p112(X56)
& ~ p113(X56)
& p13(X56)
& r1(X1,X56) )
& ? [X57] :
( p112(X57)
& ~ p113(X57)
& ~ p13(X57)
& r1(X1,X57) ) ) )
& ( ~ p112(X1)
| p113(X1)
| ( ? [X58] :
( p113(X58)
& ~ p114(X58)
& p14(X58)
& r1(X1,X58) )
& ? [X59] :
( p113(X59)
& ~ p114(X59)
& ~ p14(X59)
& r1(X1,X59) ) ) )
& ( ~ p113(X1)
| p114(X1)
| ( ? [X60] :
( p114(X60)
& ~ p115(X60)
& p15(X60)
& r1(X1,X60) )
& ? [X61] :
( p114(X61)
& ~ p115(X61)
& ~ p15(X61)
& r1(X1,X61) ) ) )
& ( ~ p114(X1)
| p115(X1)
| ( ? [X62] :
( p115(X62)
& p16(X62)
& r1(X1,X62) )
& ? [X63] :
( p115(X63)
& ~ p16(X63)
& r1(X1,X63) ) ) ) )
| ~ r1(X0,X1) )
& ! [X64] :
( p7(X64)
| ~ r1(X0,X64) ) ),
inference(flattening,[],[f8]) ).
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) )
& ( ~ 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) ) ) ) )
& ( ~ p100(X1)
| p101(X1)
| ( ? [X34] :
( p101(X34)
& ~ p102(X34)
& p2(X34)
& r1(X1,X34) )
& ? [X35] :
( p101(X35)
& ~ p102(X35)
& ~ p2(X35)
& r1(X1,X35) ) ) )
& ( ~ p101(X1)
| p102(X1)
| ( ? [X36] :
( p102(X36)
& ~ p103(X36)
& p3(X36)
& r1(X1,X36) )
& ? [X37] :
( p102(X37)
& ~ p103(X37)
& ~ p3(X37)
& r1(X1,X37) ) ) )
& ( ~ p102(X1)
| p103(X1)
| ( ? [X38] :
( p103(X38)
& ~ p104(X38)
& p4(X38)
& r1(X1,X38) )
& ? [X39] :
( p103(X39)
& ~ p104(X39)
& ~ p4(X39)
& r1(X1,X39) ) ) )
& ( ~ p103(X1)
| p104(X1)
| ( ? [X40] :
( p104(X40)
& ~ p105(X40)
& p5(X40)
& r1(X1,X40) )
& ? [X41] :
( p104(X41)
& ~ p105(X41)
& ~ p5(X41)
& r1(X1,X41) ) ) )
& ( ~ p104(X1)
| p105(X1)
| ( ? [X42] :
( p105(X42)
& ~ p106(X42)
& p6(X42)
& r1(X1,X42) )
& ? [X43] :
( p105(X43)
& ~ p106(X43)
& ~ p6(X43)
& r1(X1,X43) ) ) )
& ( ~ p105(X1)
| p106(X1)
| ( ? [X44] :
( p106(X44)
& ~ p107(X44)
& p7(X44)
& r1(X1,X44) )
& ? [X45] :
( p106(X45)
& ~ p107(X45)
& ~ p7(X45)
& r1(X1,X45) ) ) )
& ( ~ p106(X1)
| p107(X1)
| ( ? [X46] :
( p107(X46)
& ~ p108(X46)
& p8(X46)
& r1(X1,X46) )
& ? [X47] :
( p107(X47)
& ~ p108(X47)
& ~ p8(X47)
& r1(X1,X47) ) ) )
& ( ~ p107(X1)
| p108(X1)
| ( ? [X48] :
( p108(X48)
& ~ p109(X48)
& p9(X48)
& r1(X1,X48) )
& ? [X49] :
( p108(X49)
& ~ p109(X49)
& ~ p9(X49)
& r1(X1,X49) ) ) )
& ( ~ p108(X1)
| p109(X1)
| ( ? [X50] :
( p109(X50)
& ~ p110(X50)
& p10(X50)
& r1(X1,X50) )
& ? [X51] :
( p109(X51)
& ~ p110(X51)
& ~ p10(X51)
& r1(X1,X51) ) ) )
& ( ~ p109(X1)
| p110(X1)
| ( ? [X52] :
( p110(X52)
& ~ p111(X52)
& p11(X52)
& r1(X1,X52) )
& ? [X53] :
( p110(X53)
& ~ p111(X53)
& ~ p11(X53)
& r1(X1,X53) ) ) )
& ( ~ p110(X1)
| p111(X1)
| ( ? [X54] :
( p111(X54)
& ~ p112(X54)
& p12(X54)
& r1(X1,X54) )
& ? [X55] :
( p111(X55)
& ~ p112(X55)
& ~ p12(X55)
& r1(X1,X55) ) ) )
& ( ~ p111(X1)
| p112(X1)
| ( ? [X56] :
( p112(X56)
& ~ p113(X56)
& p13(X56)
& r1(X1,X56) )
& ? [X57] :
( p112(X57)
& ~ p113(X57)
& ~ p13(X57)
& r1(X1,X57) ) ) )
& ( ~ p112(X1)
| p113(X1)
| ( ? [X58] :
( p113(X58)
& ~ p114(X58)
& p14(X58)
& r1(X1,X58) )
& ? [X59] :
( p113(X59)
& ~ p114(X59)
& ~ p14(X59)
& r1(X1,X59) ) ) )
& ( ~ p113(X1)
| p114(X1)
| ( ? [X60] :
( p114(X60)
& ~ p115(X60)
& p15(X60)
& r1(X1,X60) )
& ? [X61] :
( p114(X61)
& ~ p115(X61)
& ~ p15(X61)
& r1(X1,X61) ) ) )
& ( ~ p114(X1)
| p115(X1)
| ( ? [X62] :
( p115(X62)
& p16(X62)
& r1(X1,X62) )
& ? [X63] :
( p115(X63)
& ~ p16(X63)
& r1(X1,X63) ) ) ) )
| ~ r1(X0,X1) )
& ! [X64] :
( p7(X64)
| ~ r1(X0,X64) ) ),
inference(ennf_transformation,[],[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) )
& ( ~ 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) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& p2(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p101(X35)
& ~ p102(X35)
& ~ p2(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& p3(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p102(X37)
& ~ p103(X37)
& ~ p3(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& p4(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p103(X39)
& ~ p104(X39)
& ~ p4(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& p5(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p104(X41)
& ~ p105(X41)
& ~ p5(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& p6(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p105(X43)
& ~ p106(X43)
& ~ p6(X43) )
| ~ r1(X1,X43) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& p7(X44) )
| ~ r1(X1,X44) )
& ~ ! [X45] :
( ~ ( p106(X45)
& ~ p107(X45)
& ~ p7(X45) )
| ~ r1(X1,X45) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& p8(X46) )
| ~ r1(X1,X46) )
& ~ ! [X47] :
( ~ ( p107(X47)
& ~ p108(X47)
& ~ p8(X47) )
| ~ r1(X1,X47) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& p9(X48) )
| ~ r1(X1,X48) )
& ~ ! [X49] :
( ~ ( p108(X49)
& ~ p109(X49)
& ~ p9(X49) )
| ~ r1(X1,X49) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& p10(X50) )
| ~ r1(X1,X50) )
& ~ ! [X51] :
( ~ ( p109(X51)
& ~ p110(X51)
& ~ p10(X51) )
| ~ r1(X1,X51) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X52] :
( ~ ( p110(X52)
& ~ p111(X52)
& p11(X52) )
| ~ r1(X1,X52) )
& ~ ! [X53] :
( ~ ( p110(X53)
& ~ p111(X53)
& ~ p11(X53) )
| ~ r1(X1,X53) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X54] :
( ~ ( p111(X54)
& ~ p112(X54)
& p12(X54) )
| ~ r1(X1,X54) )
& ~ ! [X55] :
( ~ ( p111(X55)
& ~ p112(X55)
& ~ p12(X55) )
| ~ r1(X1,X55) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X56] :
( ~ ( p112(X56)
& ~ p113(X56)
& p13(X56) )
| ~ r1(X1,X56) )
& ~ ! [X57] :
( ~ ( p112(X57)
& ~ p113(X57)
& ~ p13(X57) )
| ~ r1(X1,X57) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X58] :
( ~ ( p113(X58)
& ~ p114(X58)
& p14(X58) )
| ~ r1(X1,X58) )
& ~ ! [X59] :
( ~ ( p113(X59)
& ~ p114(X59)
& ~ p14(X59) )
| ~ r1(X1,X59) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X60] :
( ~ ( p114(X60)
& ~ p115(X60)
& p15(X60) )
| ~ r1(X1,X60) )
& ~ ! [X61] :
( ~ ( p114(X61)
& ~ p115(X61)
& ~ p15(X61) )
| ~ r1(X1,X61) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X62] :
( ~ ( p115(X62)
& p16(X62) )
| ~ r1(X1,X62) )
& ~ ! [X63] :
( ~ ( p115(X63)
& ~ p16(X63) )
| ~ r1(X1,X63) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X64] :
( p7(X64)
| ~ r1(X0,X64) ) ),
inference(pure_predicate_removal,[],[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) )
& ( ~ 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) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& p2(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p101(X35)
& ~ p102(X35)
& ~ p2(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& p3(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p102(X37)
& ~ p103(X37)
& ~ p3(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& p4(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p103(X39)
& ~ p104(X39)
& ~ p4(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& p5(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p104(X41)
& ~ p105(X41)
& ~ p5(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& p6(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p105(X43)
& ~ p106(X43)
& ~ p6(X43) )
| ~ r1(X1,X43) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& p7(X44) )
| ~ r1(X1,X44) )
& ~ ! [X45] :
( ~ ( p106(X45)
& ~ p107(X45)
& ~ p7(X45) )
| ~ r1(X1,X45) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& p8(X46) )
| ~ r1(X1,X46) )
& ~ ! [X47] :
( ~ ( p107(X47)
& ~ p108(X47)
& ~ p8(X47) )
| ~ r1(X1,X47) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& p9(X48) )
| ~ r1(X1,X48) )
& ~ ! [X49] :
( ~ ( p108(X49)
& ~ p109(X49)
& ~ p9(X49) )
| ~ r1(X1,X49) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& p10(X50) )
| ~ r1(X1,X50) )
& ~ ! [X51] :
( ~ ( p109(X51)
& ~ p110(X51)
& ~ p10(X51) )
| ~ r1(X1,X51) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X52] :
( ~ ( p110(X52)
& ~ p111(X52)
& p11(X52) )
| ~ r1(X1,X52) )
& ~ ! [X53] :
( ~ ( p110(X53)
& ~ p111(X53)
& ~ p11(X53) )
| ~ r1(X1,X53) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X54] :
( ~ ( p111(X54)
& ~ p112(X54)
& p12(X54) )
| ~ r1(X1,X54) )
& ~ ! [X55] :
( ~ ( p111(X55)
& ~ p112(X55)
& ~ p12(X55) )
| ~ r1(X1,X55) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X56] :
( ~ ( p112(X56)
& ~ p113(X56)
& p13(X56) )
| ~ r1(X1,X56) )
& ~ ! [X57] :
( ~ ( p112(X57)
& ~ p113(X57)
& ~ p13(X57) )
| ~ r1(X1,X57) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X58] :
( ~ ( p113(X58)
& ~ p114(X58)
& p14(X58) )
| ~ r1(X1,X58) )
& ~ ! [X59] :
( ~ ( p113(X59)
& ~ p114(X59)
& ~ p14(X59) )
| ~ r1(X1,X59) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X60] :
( ~ ( p114(X60)
& ~ p115(X60)
& p15(X60) )
| ~ r1(X1,X60) )
& ~ ! [X61] :
( ~ ( p114(X61)
& ~ p115(X61)
& ~ p15(X61) )
| ~ r1(X1,X61) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X62] :
( ~ ( p115(X62)
& ~ p116(X62)
& p16(X62) )
| ~ r1(X1,X62) )
& ~ ! [X63] :
( ~ ( p115(X63)
& ~ p116(X63)
& ~ p16(X63) )
| ~ r1(X1,X63) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X64] :
( p7(X64)
| ~ r1(X0,X64) ) ),
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) )
& ( ~ 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) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& p2(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p101(X35)
& ~ p102(X35)
& ~ p2(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& p3(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p102(X37)
& ~ p103(X37)
& ~ p3(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& p4(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p103(X39)
& ~ p104(X39)
& ~ p4(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& p5(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p104(X41)
& ~ p105(X41)
& ~ p5(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& p6(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p105(X43)
& ~ p106(X43)
& ~ p6(X43) )
| ~ r1(X1,X43) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& p7(X44) )
| ~ r1(X1,X44) )
& ~ ! [X45] :
( ~ ( p106(X45)
& ~ p107(X45)
& ~ p7(X45) )
| ~ r1(X1,X45) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& p8(X46) )
| ~ r1(X1,X46) )
& ~ ! [X47] :
( ~ ( p107(X47)
& ~ p108(X47)
& ~ p8(X47) )
| ~ r1(X1,X47) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& p9(X48) )
| ~ r1(X1,X48) )
& ~ ! [X49] :
( ~ ( p108(X49)
& ~ p109(X49)
& ~ p9(X49) )
| ~ r1(X1,X49) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& p10(X50) )
| ~ r1(X1,X50) )
& ~ ! [X51] :
( ~ ( p109(X51)
& ~ p110(X51)
& ~ p10(X51) )
| ~ r1(X1,X51) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X52] :
( ~ ( p110(X52)
& ~ p111(X52)
& p11(X52) )
| ~ r1(X1,X52) )
& ~ ! [X53] :
( ~ ( p110(X53)
& ~ p111(X53)
& ~ p11(X53) )
| ~ r1(X1,X53) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X54] :
( ~ ( p111(X54)
& ~ p112(X54)
& p12(X54) )
| ~ r1(X1,X54) )
& ~ ! [X55] :
( ~ ( p111(X55)
& ~ p112(X55)
& ~ p12(X55) )
| ~ r1(X1,X55) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X56] :
( ~ ( p112(X56)
& ~ p113(X56)
& p13(X56) )
| ~ r1(X1,X56) )
& ~ ! [X57] :
( ~ ( p112(X57)
& ~ p113(X57)
& ~ p13(X57) )
| ~ r1(X1,X57) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X58] :
( ~ ( p113(X58)
& ~ p114(X58)
& p14(X58) )
| ~ r1(X1,X58) )
& ~ ! [X59] :
( ~ ( p113(X59)
& ~ p114(X59)
& ~ p14(X59) )
| ~ r1(X1,X59) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X60] :
( ~ ( p114(X60)
& ~ p115(X60)
& p15(X60) )
| ~ r1(X1,X60) )
& ~ ! [X61] :
( ~ ( p114(X61)
& ~ p115(X61)
& ~ p15(X61) )
| ~ r1(X1,X61) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X62] :
( ~ ( p115(X62)
& ~ p116(X62)
& p16(X62) )
| ~ r1(X1,X62) )
& ~ ! [X63] :
( ~ ( p115(X63)
& ~ p116(X63)
& ~ p16(X63) )
| ~ r1(X1,X63) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X64] :
( p7(X64)
| ~ r1(X0,X64) ) ),
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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p7(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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p7(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f601,plain,
( sP29(sK92)
| ~ p100(sK92) ),
inference(subsumption_resolution,[],[f600,f490]) ).
fof(f490,plain,
~ p101(sK92),
inference(cnf_transformation,[],[f261]) ).
fof(f600,plain,
( p101(sK92)
| sP29(sK92)
| ~ p100(sK92) ),
inference(resolution,[],[f341,f510]) ).
fof(f510,plain,
sP44(sK92),
inference(resolution,[],[f276,f494]) ).
fof(f494,plain,
sP61(sK92),
inference(resolution,[],[f492,f489]) ).
fof(f489,plain,
! [X1] :
( ~ r1(sK92,X1)
| sP61(X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f492,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f276,plain,
! [X0] :
( ~ sP61(X0)
| sP44(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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) )
& 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) )
| ~ sP61(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,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) )
& 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) )
| ~ sP61(X1) ),
inference(nnf_transformation,[],[f73]) ).
fof(f341,plain,
! [X0] :
( ~ sP44(X0)
| p101(X0)
| sP29(X0)
| ~ p100(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( sP29(X0)
& sP28(X0) )
| ~ sP44(X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X1] :
( ~ p100(X1)
| p101(X1)
| ( sP29(X1)
& sP28(X1) )
| ~ sP44(X1) ),
inference(nnf_transformation,[],[f56]) ).
fof(f673,plain,
( sP27(sK62(sK92))
| ~ p101(sK62(sK92)) ),
inference(subsumption_resolution,[],[f671,f605]) ).
fof(f605,plain,
~ p102(sK62(sK92)),
inference(resolution,[],[f602,f372]) ).
fof(f372,plain,
! [X0] :
( ~ sP29(X0)
| ~ p102(sK62(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f671,plain,
( p102(sK62(sK92))
| sP27(sK62(sK92))
| ~ p101(sK62(sK92)) ),
inference(resolution,[],[f632,f343]) ).
fof(f343,plain,
! [X0] :
( ~ sP43(X0)
| p102(X0)
| sP27(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( sP27(X0)
& sP26(X0) )
| ~ sP43(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X1] :
( ~ p101(X1)
| p102(X1)
| ( sP27(X1)
& sP26(X1) )
| ~ sP43(X1) ),
inference(nnf_transformation,[],[f55]) ).
fof(f632,plain,
sP43(sK62(sK92)),
inference(resolution,[],[f617,f275]) ).
fof(f275,plain,
! [X0] :
( ~ sP61(X0)
| sP43(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f617,plain,
sP61(sK62(sK92)),
inference(resolution,[],[f603,f489]) ).
fof(f603,plain,
r1(sK92,sK62(sK92)),
inference(resolution,[],[f602,f370]) ).
fof(f370,plain,
! [X0] :
( ~ sP29(X0)
| r1(X0,sK62(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f884,plain,
( sP25(sK64(sK62(sK92)))
| ~ p102(sK64(sK62(sK92))) ),
inference(subsumption_resolution,[],[f882,f688]) ).
fof(f688,plain,
~ p103(sK64(sK62(sK92))),
inference(resolution,[],[f674,f380]) ).
fof(f380,plain,
! [X0] :
( ~ sP27(X0)
| ~ p103(sK64(X0)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f882,plain,
( p103(sK64(sK62(sK92)))
| sP25(sK64(sK62(sK92)))
| ~ p102(sK64(sK62(sK92))) ),
inference(resolution,[],[f797,f345]) ).
fof(f345,plain,
! [X0] :
( ~ sP42(X0)
| p103(X0)
| sP25(X0)
| ~ p102(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( sP25(X0)
& sP24(X0) )
| ~ sP42(X0) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X1] :
( ~ p102(X1)
| p103(X1)
| ( sP25(X1)
& sP24(X1) )
| ~ sP42(X1) ),
inference(nnf_transformation,[],[f54]) ).
fof(f797,plain,
sP42(sK64(sK62(sK92))),
inference(resolution,[],[f782,f274]) ).
fof(f274,plain,
! [X0] :
( ~ sP61(X0)
| sP42(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f782,plain,
sP61(sK64(sK62(sK92))),
inference(resolution,[],[f781,f489]) ).
fof(f781,plain,
r1(sK92,sK64(sK62(sK92))),
inference(resolution,[],[f772,f603]) ).
fof(f772,plain,
! [X0] :
( ~ r1(X0,sK62(sK92))
| r1(X0,sK64(sK62(sK92))) ),
inference(resolution,[],[f493,f686]) ).
fof(f686,plain,
r1(sK62(sK92),sK64(sK62(sK92))),
inference(resolution,[],[f674,f378]) ).
fof(f378,plain,
! [X0] :
( ~ sP27(X0)
| r1(X0,sK64(X0)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f493,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f10]) ).
fof(f10,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/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f1860,plain,
( sP23(sK66(sK64(sK62(sK92))))
| ~ p103(sK66(sK64(sK62(sK92)))) ),
inference(subsumption_resolution,[],[f1858,f919]) ).
fof(f919,plain,
~ p104(sK66(sK64(sK62(sK92)))),
inference(resolution,[],[f885,f388]) ).
fof(f388,plain,
! [X0] :
( ~ sP25(X0)
| ~ p104(sK66(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f1858,plain,
( p104(sK66(sK64(sK62(sK92))))
| sP23(sK66(sK64(sK62(sK92))))
| ~ p103(sK66(sK64(sK62(sK92)))) ),
inference(resolution,[],[f1759,f347]) ).
fof(f347,plain,
! [X0] :
( ~ sP41(X0)
| p104(X0)
| sP23(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( sP23(X0)
& sP22(X0) )
| ~ sP41(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X1] :
( ~ p103(X1)
| p104(X1)
| ( sP23(X1)
& sP22(X1) )
| ~ sP41(X1) ),
inference(nnf_transformation,[],[f53]) ).
fof(f1759,plain,
sP41(sK66(sK64(sK62(sK92)))),
inference(resolution,[],[f1716,f273]) ).
fof(f273,plain,
! [X0] :
( ~ sP61(X0)
| sP41(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f1716,plain,
sP61(sK66(sK64(sK62(sK92)))),
inference(resolution,[],[f1715,f489]) ).
fof(f1715,plain,
r1(sK92,sK66(sK64(sK62(sK92)))),
inference(resolution,[],[f963,f781]) ).
fof(f963,plain,
! [X0] :
( ~ r1(X0,sK64(sK62(sK92)))
| r1(X0,sK66(sK64(sK62(sK92)))) ),
inference(resolution,[],[f917,f493]) ).
fof(f917,plain,
r1(sK64(sK62(sK92)),sK66(sK64(sK62(sK92)))),
inference(resolution,[],[f885,f386]) ).
fof(f386,plain,
! [X0] :
( ~ sP25(X0)
| r1(X0,sK66(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f5244,plain,
( sP21(sK68(sK66(sK64(sK62(sK92)))))
| ~ p104(sK68(sK66(sK64(sK62(sK92))))) ),
inference(subsumption_resolution,[],[f5242,f1913]) ).
fof(f1913,plain,
~ p105(sK68(sK66(sK64(sK62(sK92))))),
inference(resolution,[],[f1861,f396]) ).
fof(f396,plain,
! [X0] :
( ~ sP23(X0)
| ~ p105(sK68(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f5242,plain,
( p105(sK68(sK66(sK64(sK62(sK92)))))
| sP21(sK68(sK66(sK64(sK62(sK92)))))
| ~ p104(sK68(sK66(sK64(sK62(sK92))))) ),
inference(resolution,[],[f5184,f349]) ).
fof(f349,plain,
! [X0] :
( ~ sP40(X0)
| p105(X0)
| sP21(X0)
| ~ p104(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| ( sP21(X0)
& sP20(X0) )
| ~ sP40(X0) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X1] :
( ~ p104(X1)
| p105(X1)
| ( sP21(X1)
& sP20(X1) )
| ~ sP40(X1) ),
inference(nnf_transformation,[],[f52]) ).
fof(f5184,plain,
sP40(sK68(sK66(sK64(sK62(sK92))))),
inference(resolution,[],[f5112,f272]) ).
fof(f272,plain,
! [X0] :
( ~ sP61(X0)
| sP40(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f5112,plain,
sP61(sK68(sK66(sK64(sK62(sK92))))),
inference(resolution,[],[f5111,f489]) ).
fof(f5111,plain,
r1(sK92,sK68(sK66(sK64(sK62(sK92))))),
inference(resolution,[],[f2014,f1715]) ).
fof(f2014,plain,
! [X0] :
( ~ r1(X0,sK66(sK64(sK62(sK92))))
| r1(X0,sK68(sK66(sK64(sK62(sK92))))) ),
inference(resolution,[],[f1911,f493]) ).
fof(f1911,plain,
r1(sK66(sK64(sK62(sK92))),sK68(sK66(sK64(sK62(sK92))))),
inference(resolution,[],[f1861,f394]) ).
fof(f394,plain,
! [X0] :
( ~ sP23(X0)
| r1(X0,sK68(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f11818,plain,
( sP18(sK70(sK68(sK66(sK64(sK62(sK92))))))
| ~ p105(sK70(sK68(sK66(sK64(sK62(sK92)))))) ),
inference(subsumption_resolution,[],[f11815,f5259]) ).
fof(f5259,plain,
~ p106(sK70(sK68(sK66(sK64(sK62(sK92)))))),
inference(resolution,[],[f5245,f404]) ).
fof(f404,plain,
! [X0] :
( ~ sP21(X0)
| ~ p106(sK70(X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f11815,plain,
( p106(sK70(sK68(sK66(sK64(sK62(sK92))))))
| sP18(sK70(sK68(sK66(sK64(sK62(sK92))))))
| ~ p105(sK70(sK68(sK66(sK64(sK62(sK92)))))) ),
inference(resolution,[],[f11757,f350]) ).
fof(f350,plain,
! [X0] :
( ~ sP39(X0)
| p106(X0)
| sP18(X0)
| ~ p105(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| ( sP19(X0)
& sP18(X0) )
| ~ sP39(X0) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X1] :
( ~ p105(X1)
| p106(X1)
| ( sP19(X1)
& sP18(X1) )
| ~ sP39(X1) ),
inference(nnf_transformation,[],[f51]) ).
fof(f11757,plain,
sP39(sK70(sK68(sK66(sK64(sK62(sK92)))))),
inference(resolution,[],[f11688,f271]) ).
fof(f271,plain,
! [X0] :
( ~ sP61(X0)
| sP39(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f11688,plain,
sP61(sK70(sK68(sK66(sK64(sK62(sK92)))))),
inference(resolution,[],[f11687,f489]) ).
fof(f11687,plain,
r1(sK92,sK70(sK68(sK66(sK64(sK62(sK92)))))),
inference(resolution,[],[f5419,f5111]) ).
fof(f5419,plain,
! [X0] :
( ~ r1(X0,sK68(sK66(sK64(sK62(sK92)))))
| r1(X0,sK70(sK68(sK66(sK64(sK62(sK92)))))) ),
inference(resolution,[],[f5257,f493]) ).
fof(f5257,plain,
r1(sK68(sK66(sK64(sK62(sK92)))),sK70(sK68(sK66(sK64(sK62(sK92)))))),
inference(resolution,[],[f5245,f402]) ).
fof(f402,plain,
! [X0] :
( ~ sP21(X0)
| r1(X0,sK70(X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f27250,plain,
p7(sK73(sK70(sK68(sK66(sK64(sK62(sK92))))))),
inference(resolution,[],[f27248,f488]) ).
fof(f488,plain,
! [X2] :
( ~ r1(sK92,X2)
| p7(X2) ),
inference(cnf_transformation,[],[f261]) ).
fof(f27248,plain,
r1(sK92,sK73(sK70(sK68(sK66(sK64(sK62(sK92))))))),
inference(resolution,[],[f12117,f11687]) ).
fof(f12117,plain,
! [X0] :
( ~ r1(X0,sK70(sK68(sK66(sK64(sK62(sK92))))))
| r1(X0,sK73(sK70(sK68(sK66(sK64(sK62(sK92))))))) ),
inference(resolution,[],[f11835,f493]) ).
fof(f11835,plain,
r1(sK70(sK68(sK66(sK64(sK62(sK92))))),sK73(sK70(sK68(sK66(sK64(sK62(sK92))))))),
inference(resolution,[],[f11819,f414]) ).
fof(f414,plain,
! [X0] :
( ~ sP18(X0)
| r1(X0,sK73(X0)) ),
inference(cnf_transformation,[],[f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL674+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.31 % Computer : n014.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Fri May 3 13:05:46 EDT 2024
% 0.17/0.31 % CPUTime :
% 0.17/0.32 % (6551)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33 % (6555)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.33 % (6553)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.33 % (6552)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.33 % (6558)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.33 % (6556)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.17/0.33 % (6557)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.33 % (6554)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.17/0.34 TRYING [1]
% 0.17/0.34 TRYING [1]
% 0.17/0.34 TRYING [2]
% 0.17/0.34 TRYING [2]
% 0.17/0.34 TRYING [3]
% 0.17/0.34 TRYING [1]
% 0.17/0.34 TRYING [1]
% 0.17/0.34 TRYING [2]
% 0.17/0.34 TRYING [3]
% 0.17/0.34 TRYING [2]
% 0.17/0.34 TRYING [3]
% 0.17/0.34 TRYING [3]
% 0.17/0.34 TRYING [4]
% 0.17/0.35 TRYING [4]
% 0.17/0.35 TRYING [4]
% 0.17/0.35 TRYING [4]
% 0.17/0.35 TRYING [5]
% 0.17/0.36 TRYING [5]
% 0.17/0.36 TRYING [5]
% 0.17/0.36 TRYING [5]
% 0.17/0.36 TRYING [6]
% 0.17/0.37 TRYING [6]
% 0.17/0.37 TRYING [6]
% 0.17/0.38 TRYING [6]
% 0.17/0.39 TRYING [7]
% 0.17/0.40 TRYING [7]
% 0.17/0.40 TRYING [7]
% 0.17/0.41 TRYING [7]
% 0.17/0.42 TRYING [8]
% 0.17/0.46 TRYING [8]
% 0.17/0.47 TRYING [8]
% 0.17/0.47 TRYING [8]
% 0.17/0.49 TRYING [9]
% 1.75/0.63 % (6556)First to succeed.
% 2.27/0.63 % (6556)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6551"
% 2.27/0.64 % (6556)Refutation found. Thanks to Tanya!
% 2.27/0.64 % SZS status Theorem for theBenchmark
% 2.27/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.27/0.64 % (6556)------------------------------
% 2.27/0.64 % (6556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.27/0.64 % (6556)Termination reason: Refutation
% 2.27/0.64
% 2.27/0.64 % (6556)Memory used [KB]: 7016
% 2.27/0.64 % (6556)Time elapsed: 0.302 s
% 2.27/0.64 % (6556)Instructions burned: 666 (million)
% 2.27/0.64 % (6551)Success in time 0.307 s
%------------------------------------------------------------------------------