%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL656+1.010 : 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 07:51:09 EDT 2024
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 49
% Syntax : Number of formulae : 158 ( 29 unt; 0 def)
% Number of atoms : 2564 ( 0 equ)
% Maximal formula atoms : 244 ( 16 avg)
% Number of connectives : 4314 (1908 ~;1408 |; 993 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 10 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 67 ( 66 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 797 ( 715 !; 82 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1941,plain,
$false,
inference(subsumption_resolution,[],[f1940,f455]) ).
fof(f455,plain,
r1(sK62,sK42(sK62)),
inference(resolution,[],[f452,f252]) ).
fof(f252,plain,
! [X0] :
( ~ sP19(X0)
| r1(X0,sK42(X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( p101(sK42(X0))
& ~ p102(sK42(X0))
& p2(sK42(X0))
& r1(X0,sK42(X0)) )
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f97,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK42(X0))
& ~ p102(sK42(X0))
& p2(sK42(X0))
& r1(X0,sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
| ~ sP19(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X10] :
( ? [X33] :
( p101(X33)
& ~ p102(X33)
& p2(X33)
& r1(X10,X33) )
| ~ sP19(X10) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X10] :
( ? [X33] :
( p101(X33)
& ~ p102(X33)
& p2(X33)
& r1(X10,X33) )
| ~ sP19(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f452,plain,
sP19(sK62),
inference(subsumption_resolution,[],[f451,f333]) ).
fof(f333,plain,
p100(sK62),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( p100(sK62)
& ~ p101(sK62)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP41(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK62,X1) )
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p5(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(sK62,X11) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f176,f177]) ).
fof(f177,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP41(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p5(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) ) )
=> ( p100(sK62)
& ~ p101(sK62)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP41(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK62,X1) )
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p5(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(sK62,X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP41(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p5(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP41(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(definition_folding,[],[f8,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,f10,f9]) ).
fof(f9,plain,
! [X10] :
( ? [X52] :
( p110(X52)
& ~ p11(X52)
& r1(X10,X52) )
| ~ sP0(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X10] :
( ? [X51] :
( p110(X51)
& p11(X51)
& r1(X10,X51) )
| ~ sP1(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X10] :
( ? [X50] :
( p109(X50)
& ~ p110(X50)
& ~ p10(X50)
& r1(X10,X50) )
| ~ sP2(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X10] :
( ? [X49] :
( p109(X49)
& ~ p110(X49)
& p10(X49)
& r1(X10,X49) )
| ~ sP3(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X10] :
( ? [X48] :
( p108(X48)
& ~ p109(X48)
& ~ p9(X48)
& r1(X10,X48) )
| ~ sP4(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X10] :
( ? [X47] :
( p108(X47)
& ~ p109(X47)
& p9(X47)
& r1(X10,X47) )
| ~ sP5(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X10] :
( ? [X46] :
( p107(X46)
& ~ p108(X46)
& ~ p8(X46)
& r1(X10,X46) )
| ~ sP6(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X10] :
( ? [X45] :
( p107(X45)
& ~ p108(X45)
& p8(X45)
& r1(X10,X45) )
| ~ sP7(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X10] :
( ? [X44] :
( p106(X44)
& ~ p107(X44)
& ~ p7(X44)
& r1(X10,X44) )
| ~ sP8(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X10] :
( ? [X43] :
( p106(X43)
& ~ p107(X43)
& p7(X43)
& r1(X10,X43) )
| ~ sP9(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X10] :
( ? [X42] :
( p105(X42)
& ~ p106(X42)
& ~ p6(X42)
& r1(X10,X42) )
| ~ sP10(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X10] :
( ? [X41] :
( p105(X41)
& ~ p106(X41)
& p6(X41)
& r1(X10,X41) )
| ~ sP11(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
! [X10] :
( ? [X40] :
( p104(X40)
& ~ p105(X40)
& ~ p5(X40)
& r1(X10,X40) )
| ~ sP12(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f22,plain,
! [X10] :
( ? [X39] :
( p104(X39)
& ~ p105(X39)
& p5(X39)
& r1(X10,X39) )
| ~ sP13(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
! [X10] :
( ? [X38] :
( p103(X38)
& ~ p104(X38)
& ~ p4(X38)
& r1(X10,X38) )
| ~ sP14(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
! [X10] :
( ? [X37] :
( p103(X37)
& ~ p104(X37)
& p4(X37)
& r1(X10,X37) )
| ~ sP15(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
! [X10] :
( ? [X36] :
( p102(X36)
& ~ p103(X36)
& ~ p3(X36)
& r1(X10,X36) )
| ~ sP16(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
! [X10] :
( ? [X35] :
( p102(X35)
& ~ p103(X35)
& p3(X35)
& r1(X10,X35) )
| ~ sP17(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
! [X10] :
( ? [X34] :
( p101(X34)
& ~ p102(X34)
& ~ p2(X34)
& r1(X10,X34) )
| ~ sP18(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
! [X10] :
( ~ p109(X10)
| p110(X10)
| ( sP1(X10)
& sP0(X10) )
| ~ sP20(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
! [X10] :
( ~ p108(X10)
| p109(X10)
| ( sP3(X10)
& sP2(X10) )
| ~ sP21(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
! [X10] :
( ~ p107(X10)
| p108(X10)
| ( sP5(X10)
& sP4(X10) )
| ~ sP22(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f32,plain,
! [X10] :
( ~ p106(X10)
| p107(X10)
| ( sP7(X10)
& sP6(X10) )
| ~ sP23(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f33,plain,
! [X10] :
( ~ p105(X10)
| p106(X10)
| ( sP9(X10)
& sP8(X10) )
| ~ sP24(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f34,plain,
! [X10] :
( ~ p104(X10)
| p105(X10)
| ( sP11(X10)
& sP10(X10) )
| ~ sP25(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f35,plain,
! [X10] :
( ~ p103(X10)
| p104(X10)
| ( sP13(X10)
& sP12(X10) )
| ~ sP26(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f36,plain,
! [X10] :
( ~ p102(X10)
| p103(X10)
| ( sP15(X10)
& sP14(X10) )
| ~ sP27(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f37,plain,
! [X10] :
( ~ p101(X10)
| p102(X10)
| ( sP17(X10)
& sP16(X10) )
| ~ sP28(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f38,plain,
! [X10] :
( ~ p100(X10)
| p101(X10)
| ( sP19(X10)
& sP18(X10) )
| ~ sP29(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f39,plain,
! [X10] :
( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) )
| ~ sP30(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f40,plain,
! [X10] :
( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) )
| ~ sP31(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f41,plain,
! [X10] :
( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) )
| ~ sP32(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f42,plain,
! [X10] :
( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) )
| ~ sP33(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f43,plain,
! [X10] :
( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) )
| ~ sP34(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f44,plain,
! [X10] :
( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) )
| ~ sP35(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f45,plain,
! [X10] :
( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) )
| ~ sP36(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f46,plain,
! [X10] :
( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) )
| ~ sP37(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f47,plain,
! [X10] :
( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) )
| ~ sP38(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f48,plain,
! [X10] :
( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) )
| ~ sP39(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f49,plain,
! [X10] :
( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) )
| ~ sP40(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f50,plain,
! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& sP40(X10)
& sP39(X10)
& sP38(X10)
& sP37(X10)
& sP36(X10)
& sP35(X10)
& sP34(X10)
& sP33(X10)
& sP32(X10)
& sP31(X10)
& sP30(X10)
& sP29(X10)
& sP28(X10)
& sP27(X10)
& sP26(X10)
& sP25(X10)
& sP24(X10)
& sP23(X10)
& sP22(X10)
& sP21(X10)
& sP20(X10) )
| ~ sP41(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ p100(X10)
| p101(X10)
| ( ? [X33] :
( p101(X33)
& ~ p102(X33)
& p2(X33)
& r1(X10,X33) )
& ? [X34] :
( p101(X34)
& ~ p102(X34)
& ~ p2(X34)
& r1(X10,X34) ) ) )
& ( ~ p101(X10)
| p102(X10)
| ( ? [X35] :
( p102(X35)
& ~ p103(X35)
& p3(X35)
& r1(X10,X35) )
& ? [X36] :
( p102(X36)
& ~ p103(X36)
& ~ p3(X36)
& r1(X10,X36) ) ) )
& ( ~ p102(X10)
| p103(X10)
| ( ? [X37] :
( p103(X37)
& ~ p104(X37)
& p4(X37)
& r1(X10,X37) )
& ? [X38] :
( p103(X38)
& ~ p104(X38)
& ~ p4(X38)
& r1(X10,X38) ) ) )
& ( ~ p103(X10)
| p104(X10)
| ( ? [X39] :
( p104(X39)
& ~ p105(X39)
& p5(X39)
& r1(X10,X39) )
& ? [X40] :
( p104(X40)
& ~ p105(X40)
& ~ p5(X40)
& r1(X10,X40) ) ) )
& ( ~ p104(X10)
| p105(X10)
| ( ? [X41] :
( p105(X41)
& ~ p106(X41)
& p6(X41)
& r1(X10,X41) )
& ? [X42] :
( p105(X42)
& ~ p106(X42)
& ~ p6(X42)
& r1(X10,X42) ) ) )
& ( ~ p105(X10)
| p106(X10)
| ( ? [X43] :
( p106(X43)
& ~ p107(X43)
& p7(X43)
& r1(X10,X43) )
& ? [X44] :
( p106(X44)
& ~ p107(X44)
& ~ p7(X44)
& r1(X10,X44) ) ) )
& ( ~ p106(X10)
| p107(X10)
| ( ? [X45] :
( p107(X45)
& ~ p108(X45)
& p8(X45)
& r1(X10,X45) )
& ? [X46] :
( p107(X46)
& ~ p108(X46)
& ~ p8(X46)
& r1(X10,X46) ) ) )
& ( ~ p107(X10)
| p108(X10)
| ( ? [X47] :
( p108(X47)
& ~ p109(X47)
& p9(X47)
& r1(X10,X47) )
& ? [X48] :
( p108(X48)
& ~ p109(X48)
& ~ p9(X48)
& r1(X10,X48) ) ) )
& ( ~ p108(X10)
| p109(X10)
| ( ? [X49] :
( p109(X49)
& ~ p110(X49)
& p10(X49)
& r1(X10,X49) )
& ? [X50] :
( p109(X50)
& ~ p110(X50)
& ~ p10(X50)
& r1(X10,X50) ) ) )
& ( ~ p109(X10)
| p110(X10)
| ( ? [X51] :
( p110(X51)
& p11(X51)
& r1(X10,X51) )
& ? [X52] :
( p110(X52)
& ~ p11(X52)
& r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ p100(X10)
| p101(X10)
| ( ? [X33] :
( p101(X33)
& ~ p102(X33)
& p2(X33)
& r1(X10,X33) )
& ? [X34] :
( p101(X34)
& ~ p102(X34)
& ~ p2(X34)
& r1(X10,X34) ) ) )
& ( ~ p101(X10)
| p102(X10)
| ( ? [X35] :
( p102(X35)
& ~ p103(X35)
& p3(X35)
& r1(X10,X35) )
& ? [X36] :
( p102(X36)
& ~ p103(X36)
& ~ p3(X36)
& r1(X10,X36) ) ) )
& ( ~ p102(X10)
| p103(X10)
| ( ? [X37] :
( p103(X37)
& ~ p104(X37)
& p4(X37)
& r1(X10,X37) )
& ? [X38] :
( p103(X38)
& ~ p104(X38)
& ~ p4(X38)
& r1(X10,X38) ) ) )
& ( ~ p103(X10)
| p104(X10)
| ( ? [X39] :
( p104(X39)
& ~ p105(X39)
& p5(X39)
& r1(X10,X39) )
& ? [X40] :
( p104(X40)
& ~ p105(X40)
& ~ p5(X40)
& r1(X10,X40) ) ) )
& ( ~ p104(X10)
| p105(X10)
| ( ? [X41] :
( p105(X41)
& ~ p106(X41)
& p6(X41)
& r1(X10,X41) )
& ? [X42] :
( p105(X42)
& ~ p106(X42)
& ~ p6(X42)
& r1(X10,X42) ) ) )
& ( ~ p105(X10)
| p106(X10)
| ( ? [X43] :
( p106(X43)
& ~ p107(X43)
& p7(X43)
& r1(X10,X43) )
& ? [X44] :
( p106(X44)
& ~ p107(X44)
& ~ p7(X44)
& r1(X10,X44) ) ) )
& ( ~ p106(X10)
| p107(X10)
| ( ? [X45] :
( p107(X45)
& ~ p108(X45)
& p8(X45)
& r1(X10,X45) )
& ? [X46] :
( p107(X46)
& ~ p108(X46)
& ~ p8(X46)
& r1(X10,X46) ) ) )
& ( ~ p107(X10)
| p108(X10)
| ( ? [X47] :
( p108(X47)
& ~ p109(X47)
& p9(X47)
& r1(X10,X47) )
& ? [X48] :
( p108(X48)
& ~ p109(X48)
& ~ p9(X48)
& r1(X10,X48) ) ) )
& ( ~ p108(X10)
| p109(X10)
| ( ? [X49] :
( p109(X49)
& ~ p110(X49)
& p10(X49)
& r1(X10,X49) )
& ? [X50] :
( p109(X50)
& ~ p110(X50)
& ~ p10(X50)
& r1(X10,X50) ) ) )
& ( ~ p109(X10)
| p110(X10)
| ( ? [X51] :
( p110(X51)
& p11(X51)
& r1(X10,X51) )
& ? [X52] :
( p110(X52)
& ~ p11(X52)
& r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ ( p100(X10)
& ~ p101(X10) )
| ( ~ ! [X33] :
( ~ ( p101(X33)
& ~ p102(X33)
& p2(X33) )
| ~ r1(X10,X33) )
& ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& ~ p2(X34) )
| ~ r1(X10,X34) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X35] :
( ~ ( p102(X35)
& ~ p103(X35)
& p3(X35) )
| ~ r1(X10,X35) )
& ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& ~ p3(X36) )
| ~ r1(X10,X36) ) ) )
& ( ~ ( p102(X10)
& ~ p103(X10) )
| ( ~ ! [X37] :
( ~ ( p103(X37)
& ~ p104(X37)
& p4(X37) )
| ~ r1(X10,X37) )
& ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& ~ p4(X38) )
| ~ r1(X10,X38) ) ) )
& ( ~ ( p103(X10)
& ~ p104(X10) )
| ( ~ ! [X39] :
( ~ ( p104(X39)
& ~ p105(X39)
& p5(X39) )
| ~ r1(X10,X39) )
& ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& ~ p5(X40) )
| ~ r1(X10,X40) ) ) )
& ( ~ ( p104(X10)
& ~ p105(X10) )
| ( ~ ! [X41] :
( ~ ( p105(X41)
& ~ p106(X41)
& p6(X41) )
| ~ r1(X10,X41) )
& ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& ~ p6(X42) )
| ~ r1(X10,X42) ) ) )
& ( ~ ( p105(X10)
& ~ p106(X10) )
| ( ~ ! [X43] :
( ~ ( p106(X43)
& ~ p107(X43)
& p7(X43) )
| ~ r1(X10,X43) )
& ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& ~ p7(X44) )
| ~ r1(X10,X44) ) ) )
& ( ~ ( p106(X10)
& ~ p107(X10) )
| ( ~ ! [X45] :
( ~ ( p107(X45)
& ~ p108(X45)
& p8(X45) )
| ~ r1(X10,X45) )
& ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& ~ p8(X46) )
| ~ r1(X10,X46) ) ) )
& ( ~ ( p107(X10)
& ~ p108(X10) )
| ( ~ ! [X47] :
( ~ ( p108(X47)
& ~ p109(X47)
& p9(X47) )
| ~ r1(X10,X47) )
& ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& ~ p9(X48) )
| ~ r1(X10,X48) ) ) )
& ( ~ ( p108(X10)
& ~ p109(X10) )
| ( ~ ! [X49] :
( ~ ( p109(X49)
& ~ p110(X49)
& p10(X49) )
| ~ r1(X10,X49) )
& ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& ~ p10(X50) )
| ~ r1(X10,X50) ) ) )
& ( ~ ( p109(X10)
& ~ p110(X10) )
| ( ~ ! [X51] :
( ~ ( p110(X51)
& p11(X51) )
| ~ r1(X10,X51) )
& ~ ! [X52] :
( ~ ( p110(X52)
& ~ p11(X52) )
| ~ r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p111(X10)
| p110(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ ( p100(X10)
& ~ p101(X10) )
| ( ~ ! [X33] :
( ~ ( p101(X33)
& ~ p102(X33)
& p2(X33) )
| ~ r1(X10,X33) )
& ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& ~ p2(X34) )
| ~ r1(X10,X34) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X35] :
( ~ ( p102(X35)
& ~ p103(X35)
& p3(X35) )
| ~ r1(X10,X35) )
& ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& ~ p3(X36) )
| ~ r1(X10,X36) ) ) )
& ( ~ ( p102(X10)
& ~ p103(X10) )
| ( ~ ! [X37] :
( ~ ( p103(X37)
& ~ p104(X37)
& p4(X37) )
| ~ r1(X10,X37) )
& ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& ~ p4(X38) )
| ~ r1(X10,X38) ) ) )
& ( ~ ( p103(X10)
& ~ p104(X10) )
| ( ~ ! [X39] :
( ~ ( p104(X39)
& ~ p105(X39)
& p5(X39) )
| ~ r1(X10,X39) )
& ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& ~ p5(X40) )
| ~ r1(X10,X40) ) ) )
& ( ~ ( p104(X10)
& ~ p105(X10) )
| ( ~ ! [X41] :
( ~ ( p105(X41)
& ~ p106(X41)
& p6(X41) )
| ~ r1(X10,X41) )
& ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& ~ p6(X42) )
| ~ r1(X10,X42) ) ) )
& ( ~ ( p105(X10)
& ~ p106(X10) )
| ( ~ ! [X43] :
( ~ ( p106(X43)
& ~ p107(X43)
& p7(X43) )
| ~ r1(X10,X43) )
& ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& ~ p7(X44) )
| ~ r1(X10,X44) ) ) )
& ( ~ ( p106(X10)
& ~ p107(X10) )
| ( ~ ! [X45] :
( ~ ( p107(X45)
& ~ p108(X45)
& p8(X45) )
| ~ r1(X10,X45) )
& ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& ~ p8(X46) )
| ~ r1(X10,X46) ) ) )
& ( ~ ( p107(X10)
& ~ p108(X10) )
| ( ~ ! [X47] :
( ~ ( p108(X47)
& ~ p109(X47)
& p9(X47) )
| ~ r1(X10,X47) )
& ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& ~ p9(X48) )
| ~ r1(X10,X48) ) ) )
& ( ~ ( p108(X10)
& ~ p109(X10) )
| ( ~ ! [X49] :
( ~ ( p109(X49)
& ~ p110(X49)
& p10(X49) )
| ~ r1(X10,X49) )
& ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& ~ p10(X50) )
| ~ r1(X10,X50) ) ) )
& ( ~ ( p109(X10)
& ~ p110(X10) )
| ( ~ ! [X51] :
( ~ ( p110(X51)
& ~ p111(X51)
& p11(X51) )
| ~ r1(X10,X51) )
& ~ ! [X52] :
( ~ ( p110(X52)
& ~ p111(X52)
& ~ p11(X52) )
| ~ r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p111(X10)
| p110(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ ( p100(X10)
& ~ p101(X10) )
| ( ~ ! [X33] :
( ~ ( p101(X33)
& ~ p102(X33)
& p2(X33) )
| ~ r1(X10,X33) )
& ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& ~ p2(X34) )
| ~ r1(X10,X34) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X35] :
( ~ ( p102(X35)
& ~ p103(X35)
& p3(X35) )
| ~ r1(X10,X35) )
& ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& ~ p3(X36) )
| ~ r1(X10,X36) ) ) )
& ( ~ ( p102(X10)
& ~ p103(X10) )
| ( ~ ! [X37] :
( ~ ( p103(X37)
& ~ p104(X37)
& p4(X37) )
| ~ r1(X10,X37) )
& ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& ~ p4(X38) )
| ~ r1(X10,X38) ) ) )
& ( ~ ( p103(X10)
& ~ p104(X10) )
| ( ~ ! [X39] :
( ~ ( p104(X39)
& ~ p105(X39)
& p5(X39) )
| ~ r1(X10,X39) )
& ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& ~ p5(X40) )
| ~ r1(X10,X40) ) ) )
& ( ~ ( p104(X10)
& ~ p105(X10) )
| ( ~ ! [X41] :
( ~ ( p105(X41)
& ~ p106(X41)
& p6(X41) )
| ~ r1(X10,X41) )
& ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& ~ p6(X42) )
| ~ r1(X10,X42) ) ) )
& ( ~ ( p105(X10)
& ~ p106(X10) )
| ( ~ ! [X43] :
( ~ ( p106(X43)
& ~ p107(X43)
& p7(X43) )
| ~ r1(X10,X43) )
& ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& ~ p7(X44) )
| ~ r1(X10,X44) ) ) )
& ( ~ ( p106(X10)
& ~ p107(X10) )
| ( ~ ! [X45] :
( ~ ( p107(X45)
& ~ p108(X45)
& p8(X45) )
| ~ r1(X10,X45) )
& ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& ~ p8(X46) )
| ~ r1(X10,X46) ) ) )
& ( ~ ( p107(X10)
& ~ p108(X10) )
| ( ~ ! [X47] :
( ~ ( p108(X47)
& ~ p109(X47)
& p9(X47) )
| ~ r1(X10,X47) )
& ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& ~ p9(X48) )
| ~ r1(X10,X48) ) ) )
& ( ~ ( p108(X10)
& ~ p109(X10) )
| ( ~ ! [X49] :
( ~ ( p109(X49)
& ~ p110(X49)
& p10(X49) )
| ~ r1(X10,X49) )
& ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& ~ p10(X50) )
| ~ r1(X10,X50) ) ) )
& ( ~ ( p109(X10)
& ~ p110(X10) )
| ( ~ ! [X51] :
( ~ ( p110(X51)
& ~ p111(X51)
& p11(X51) )
| ~ r1(X10,X51) )
& ~ ! [X52] :
( ~ ( p110(X52)
& ~ p111(X52)
& ~ p11(X52) )
| ~ r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [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) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X0,X1) ) )
& ( p4(X0)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X0,X1) ) )
& ( p5(X0)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X0,X1) ) )
& ( p6(X0)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p106(X0)
| ( ( ~ p7(X0)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X0,X1) ) )
& ( p7(X0)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p107(X0)
| ( ( ~ p8(X0)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X0,X1) ) )
& ( p8(X0)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p108(X0)
| ( ( ~ p9(X0)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X0,X1) ) )
& ( p9(X0)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p109(X0)
| ( ( ~ p10(X0)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X0,X1) ) )
& ( p10(X0)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p110(X0)
| ( ( ~ p11(X0)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X0,X1) ) )
& ( p11(X0)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p105(X0)
& ~ p106(X0) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p106(X0)
& ~ p107(X0) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p107(X0)
& ~ p108(X0) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p108(X0)
& ~ p109(X0) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p109(X0)
& ~ p110(X0) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [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) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X0,X1) ) )
& ( p4(X0)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X0,X1) ) )
& ( p5(X0)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X0,X1) ) )
& ( p6(X0)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p106(X0)
| ( ( ~ p7(X0)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X0,X1) ) )
& ( p7(X0)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p107(X0)
| ( ( ~ p8(X0)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X0,X1) ) )
& ( p8(X0)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p108(X0)
| ( ( ~ p9(X0)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X0,X1) ) )
& ( p9(X0)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p109(X0)
| ( ( ~ p10(X0)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X0,X1) ) )
& ( p10(X0)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p110(X0)
| ( ( ~ p11(X0)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X0,X1) ) )
& ( p11(X0)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p105(X0)
& ~ p106(X0) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p106(X0)
& ~ p107(X0) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p107(X0)
& ~ p108(X0) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p108(X0)
& ~ p109(X0) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p109(X0)
& ~ p110(X0) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f451,plain,
( sP19(sK62)
| ~ p100(sK62) ),
inference(subsumption_resolution,[],[f449,f332]) ).
fof(f332,plain,
~ p101(sK62),
inference(cnf_transformation,[],[f178]) ).
fof(f449,plain,
( p101(sK62)
| sP19(sK62)
| ~ p100(sK62) ),
inference(resolution,[],[f408,f233]) ).
fof(f233,plain,
! [X0] :
( ~ sP29(X0)
| p101(X0)
| sP19(X0)
| ~ p100(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( sP19(X0)
& sP18(X0) )
| ~ sP29(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X10] :
( ~ p100(X10)
| p101(X10)
| ( sP19(X10)
& sP18(X10) )
| ~ sP29(X10) ),
inference(nnf_transformation,[],[f38]) ).
fof(f408,plain,
sP29(sK62),
inference(resolution,[],[f398,f188]) ).
fof(f188,plain,
! [X0] :
( ~ sP41(X0)
| sP29(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,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) )
& 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) )
| ~ sP41(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& sP40(X10)
& sP39(X10)
& sP38(X10)
& sP37(X10)
& sP36(X10)
& sP35(X10)
& sP34(X10)
& sP33(X10)
& sP32(X10)
& sP31(X10)
& sP30(X10)
& sP29(X10)
& sP28(X10)
& sP27(X10)
& sP26(X10)
& sP25(X10)
& sP24(X10)
& sP23(X10)
& sP22(X10)
& sP21(X10)
& sP20(X10) )
| ~ sP41(X10) ),
inference(nnf_transformation,[],[f50]) ).
fof(f398,plain,
sP41(sK62),
inference(resolution,[],[f397,f334]) ).
fof(f334,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(f397,plain,
! [X0] :
( ~ r1(sK62,X0)
| sP41(X0) ),
inference(resolution,[],[f396,f334]) ).
fof(f396,plain,
! [X0,X1] :
( ~ r1(X1,X0)
| sP41(X0)
| ~ r1(sK62,X1) ),
inference(resolution,[],[f395,f334]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ r1(X1,X0)
| sP41(X0)
| ~ r1(X2,X1)
| ~ r1(sK62,X2) ),
inference(resolution,[],[f394,f334]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ r1(X1,X0)
| sP41(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK62,X3) ),
inference(resolution,[],[f393,f334]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X1,X0)
| sP41(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK62,X4) ),
inference(resolution,[],[f392,f334]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X1,X0)
| sP41(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK62,X5) ),
inference(resolution,[],[f391,f334]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X1,X0)
| sP41(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK62,X6) ),
inference(resolution,[],[f390,f334]) ).
fof(f390,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(X1,X0)
| sP41(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(sK62,X7) ),
inference(resolution,[],[f389,f334]) ).
fof(f389,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(X1,X0)
| sP41(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(sK62,X8) ),
inference(resolution,[],[f331,f334]) ).
fof(f331,plain,
! [X2,X3,X10,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(X9,X10)
| sP41(X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK62,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f1940,plain,
~ r1(sK62,sK42(sK62)),
inference(resolution,[],[f1938,f583]) ).
fof(f583,plain,
r1(sK42(sK62),sK44(sK42(sK62))),
inference(resolution,[],[f578,f260]) ).
fof(f260,plain,
! [X0] :
( ~ sP17(X0)
| r1(X0,sK44(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( p102(sK44(X0))
& ~ p103(sK44(X0))
& p3(sK44(X0))
& r1(X0,sK44(X0)) )
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f105,f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK44(X0))
& ~ p103(sK44(X0))
& p3(sK44(X0))
& r1(X0,sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
| ~ sP17(X0) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X10] :
( ? [X35] :
( p102(X35)
& ~ p103(X35)
& p3(X35)
& r1(X10,X35) )
| ~ sP17(X10) ),
inference(nnf_transformation,[],[f26]) ).
fof(f578,plain,
sP17(sK42(sK62)),
inference(subsumption_resolution,[],[f577,f456]) ).
fof(f456,plain,
p101(sK42(sK62)),
inference(resolution,[],[f452,f255]) ).
fof(f255,plain,
! [X0] :
( ~ sP19(X0)
| p101(sK42(X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f577,plain,
( sP17(sK42(sK62))
| ~ p101(sK42(sK62)) ),
inference(subsumption_resolution,[],[f575,f457]) ).
fof(f457,plain,
~ p102(sK42(sK62)),
inference(resolution,[],[f452,f254]) ).
fof(f254,plain,
! [X0] :
( ~ sP19(X0)
| ~ p102(sK42(X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f575,plain,
( p102(sK42(sK62))
| sP17(sK42(sK62))
| ~ p101(sK42(sK62)) ),
inference(resolution,[],[f534,f235]) ).
fof(f235,plain,
! [X0] :
( ~ sP28(X0)
| p102(X0)
| sP17(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( sP17(X0)
& sP16(X0) )
| ~ sP28(X0) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X10] :
( ~ p101(X10)
| p102(X10)
| ( sP17(X10)
& sP16(X10) )
| ~ sP28(X10) ),
inference(nnf_transformation,[],[f37]) ).
fof(f534,plain,
sP28(sK42(sK62)),
inference(resolution,[],[f464,f187]) ).
fof(f187,plain,
! [X0] :
( ~ sP41(X0)
| sP28(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f464,plain,
sP41(sK42(sK62)),
inference(resolution,[],[f455,f397]) ).
fof(f1938,plain,
! [X0] :
( ~ r1(X0,sK44(sK42(sK62)))
| ~ r1(sK62,X0) ),
inference(resolution,[],[f1932,f840]) ).
fof(f840,plain,
r1(sK44(sK42(sK62)),sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f832,f268]) ).
fof(f268,plain,
! [X0] :
( ~ sP15(X0)
| r1(X0,sK46(X0)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( p103(sK46(X0))
& ~ p104(sK46(X0))
& p4(sK46(X0))
& r1(X0,sK46(X0)) )
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f113,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
=> ( p103(sK46(X0))
& ~ p104(sK46(X0))
& p4(sK46(X0))
& r1(X0,sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
| ~ sP15(X0) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X10] :
( ? [X37] :
( p103(X37)
& ~ p104(X37)
& p4(X37)
& r1(X10,X37) )
| ~ sP15(X10) ),
inference(nnf_transformation,[],[f24]) ).
fof(f832,plain,
sP15(sK44(sK42(sK62))),
inference(subsumption_resolution,[],[f831,f584]) ).
fof(f584,plain,
p102(sK44(sK42(sK62))),
inference(resolution,[],[f578,f263]) ).
fof(f263,plain,
! [X0] :
( ~ sP17(X0)
| p102(sK44(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f831,plain,
( sP15(sK44(sK42(sK62)))
| ~ p102(sK44(sK42(sK62))) ),
inference(subsumption_resolution,[],[f829,f585]) ).
fof(f585,plain,
~ p103(sK44(sK42(sK62))),
inference(resolution,[],[f578,f262]) ).
fof(f262,plain,
! [X0] :
( ~ sP17(X0)
| ~ p103(sK44(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f829,plain,
( p103(sK44(sK42(sK62)))
| sP15(sK44(sK42(sK62)))
| ~ p102(sK44(sK42(sK62))) ),
inference(resolution,[],[f789,f237]) ).
fof(f237,plain,
! [X0] :
( ~ sP27(X0)
| p103(X0)
| sP15(X0)
| ~ p102(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( sP15(X0)
& sP14(X0) )
| ~ sP27(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X10] :
( ~ p102(X10)
| p103(X10)
| ( sP15(X10)
& sP14(X10) )
| ~ sP27(X10) ),
inference(nnf_transformation,[],[f36]) ).
fof(f789,plain,
sP27(sK44(sK42(sK62))),
inference(resolution,[],[f781,f186]) ).
fof(f186,plain,
! [X0] :
( ~ sP41(X0)
| sP27(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f781,plain,
sP41(sK44(sK42(sK62))),
inference(subsumption_resolution,[],[f760,f455]) ).
fof(f760,plain,
( sP41(sK44(sK42(sK62)))
| ~ r1(sK62,sK42(sK62)) ),
inference(resolution,[],[f583,f396]) ).
fof(f1932,plain,
! [X0,X1] :
( ~ r1(X0,sK46(sK44(sK42(sK62))))
| ~ r1(X1,X0)
| ~ r1(sK62,X1) ),
inference(subsumption_resolution,[],[f1894,f1799]) ).
fof(f1799,plain,
~ p5(sK49(sK46(sK44(sK42(sK62))))),
inference(resolution,[],[f1784,f281]) ).
fof(f281,plain,
! [X0] :
( ~ sP12(X0)
| ~ p5(sK49(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( p104(sK49(X0))
& ~ p105(sK49(X0))
& ~ p5(sK49(X0))
& r1(X0,sK49(X0)) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f125,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) )
=> ( p104(sK49(X0))
& ~ p105(sK49(X0))
& ~ p5(sK49(X0))
& r1(X0,sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) )
| ~ sP12(X0) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X10] :
( ? [X40] :
( p104(X40)
& ~ p105(X40)
& ~ p5(X40)
& r1(X10,X40) )
| ~ sP12(X10) ),
inference(nnf_transformation,[],[f21]) ).
fof(f1784,plain,
sP12(sK46(sK44(sK42(sK62)))),
inference(subsumption_resolution,[],[f1783,f841]) ).
fof(f841,plain,
p103(sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f832,f271]) ).
fof(f271,plain,
! [X0] :
( ~ sP15(X0)
| p103(sK46(X0)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1783,plain,
( sP12(sK46(sK44(sK42(sK62))))
| ~ p103(sK46(sK44(sK42(sK62)))) ),
inference(subsumption_resolution,[],[f1780,f842]) ).
fof(f842,plain,
~ p104(sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f832,f270]) ).
fof(f270,plain,
! [X0] :
( ~ sP15(X0)
| ~ p104(sK46(X0)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1780,plain,
( p104(sK46(sK44(sK42(sK62))))
| sP12(sK46(sK44(sK42(sK62))))
| ~ p103(sK46(sK44(sK42(sK62)))) ),
inference(resolution,[],[f1740,f238]) ).
fof(f238,plain,
! [X0] :
( ~ sP26(X0)
| p104(X0)
| sP12(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( sP13(X0)
& sP12(X0) )
| ~ sP26(X0) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X10] :
( ~ p103(X10)
| p104(X10)
| ( sP13(X10)
& sP12(X10) )
| ~ sP26(X10) ),
inference(nnf_transformation,[],[f35]) ).
fof(f1740,plain,
sP26(sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f1733,f185]) ).
fof(f185,plain,
! [X0] :
( ~ sP41(X0)
| sP26(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1733,plain,
sP41(sK46(sK44(sK42(sK62)))),
inference(subsumption_resolution,[],[f1732,f455]) ).
fof(f1732,plain,
( sP41(sK46(sK44(sK42(sK62))))
| ~ r1(sK62,sK42(sK62)) ),
inference(resolution,[],[f1278,f583]) ).
fof(f1278,plain,
! [X0] :
( ~ r1(X0,sK44(sK42(sK62)))
| sP41(sK46(sK44(sK42(sK62))))
| ~ r1(sK62,X0) ),
inference(resolution,[],[f840,f395]) ).
fof(f1894,plain,
! [X0,X1] :
( p5(sK49(sK46(sK44(sK42(sK62)))))
| ~ r1(X0,sK46(sK44(sK42(sK62))))
| ~ r1(X1,X0)
| ~ r1(sK62,X1) ),
inference(resolution,[],[f1796,f384]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( ~ r1(X1,X0)
| p5(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK62,X3) ),
inference(resolution,[],[f383,f334]) ).
fof(f383,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X1,X0)
| p5(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK62,X4) ),
inference(resolution,[],[f382,f334]) ).
fof(f382,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X1,X0)
| p5(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK62,X5) ),
inference(resolution,[],[f381,f334]) ).
fof(f381,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X1,X0)
| p5(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK62,X6) ),
inference(resolution,[],[f380,f334]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(X1,X0)
| p5(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(sK62,X7) ),
inference(resolution,[],[f379,f334]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(X1,X0)
| p5(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(sK62,X8) ),
inference(resolution,[],[f330,f334]) ).
fof(f330,plain,
! [X11,X18,X19,X16,X14,X17,X15,X12,X13,X20] :
( ~ r1(X19,X20)
| p5(X20)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(sK62,X11) ),
inference(cnf_transformation,[],[f178]) ).
fof(f1796,plain,
r1(sK46(sK44(sK42(sK62))),sK49(sK46(sK44(sK42(sK62))))),
inference(resolution,[],[f1784,f280]) ).
fof(f280,plain,
! [X0] :
( ~ sP12(X0)
| r1(X0,sK49(X0)) ),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL656+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 13:51:01 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (3412)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (3419)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)
% 0.13/0.37 % (3418)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (3416)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (3414)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (3415)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)
% 0.13/0.37 % (3417)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (3413)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [5]
% 0.13/0.39 TRYING [5]
% 0.13/0.39 TRYING [5]
% 0.13/0.39 TRYING [5]
% 0.13/0.40 TRYING [6]
% 0.13/0.40 TRYING [6]
% 0.13/0.40 TRYING [6]
% 0.13/0.41 TRYING [6]
% 0.19/0.42 % (3417)First to succeed.
% 0.19/0.42 TRYING [7]
% 0.19/0.42 % (3417)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3412"
% 0.19/0.42 % (3417)Refutation found. Thanks to Tanya!
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.42 % (3417)------------------------------
% 0.19/0.42 % (3417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.42 % (3417)Termination reason: Refutation
% 0.19/0.42
% 0.19/0.42 % (3417)Memory used [KB]: 1549
% 0.19/0.42 % (3417)Time elapsed: 0.050 s
% 0.19/0.42 % (3417)Instructions burned: 121 (million)
% 0.19/0.42 % (3412)Success in time 0.067 s
%------------------------------------------------------------------------------