%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL644+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:43:36 EDT 2022
% Result : Theorem 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 39
% Syntax : Number of formulae : 50 ( 3 unt; 0 def)
% Number of atoms : 2008 ( 0 equ)
% Maximal formula atoms : 225 ( 40 avg)
% Number of connectives : 2998 (1040 ~;1126 |; 819 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-1 aty)
% Number of variables : 697 ( 529 !; 168 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f476,plain,
$false,
inference(subsumption_resolution,[],[f297,f296]) ).
fof(f296,plain,
~ p5(sK58),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( r1(sK50,sK51)
& ~ p5(sK51)
& ! [X2] :
( p5(X2)
| ~ r1(sK51,X2) )
& p5(sK51)
& ( sP24(sK50)
| ! [X3] :
( ( ~ p5(sK52(X3))
& r1(X3,sK52(X3)) )
| ~ r1(sK50,X3)
| ~ p5(X3)
| p6(X3)
| ~ p5(X3) )
| ! [X5] :
( ( r1(X5,sK53(X5))
& ~ p6(sK53(X5)) )
| ~ p6(X5)
| ~ r1(sK50,X5)
| p5(X5) )
| sP23(sK50)
| sP22(sK50) )
& ( sP18(sK50)
| sP19(sK50)
| ! [X7] :
( ~ p1(X7)
| ~ r1(sK50,X7)
| ~ p1(X7)
| p2(X7)
| ( ~ p1(sK54(X7))
& r1(X7,sK54(X7)) ) )
| ! [X9] :
( ( r1(X9,sK55(X9))
& ~ p2(sK55(X9)) )
| ~ r1(sK50,X9)
| ~ p2(X9)
| p1(X9) )
| sP17(sK50) )
& ( ! [X11] :
( ~ p3(X11)
| p4(X11)
| ~ p3(X11)
| ( ~ p3(sK56(X11))
& r1(X11,sK56(X11)) )
| ~ r1(sK50,X11) )
| sP13(sK50)
| ! [X13] :
( ~ r1(sK50,X13)
| ( ~ p4(sK57(X13))
& r1(X13,sK57(X13)) )
| p3(X13)
| ~ p4(X13) )
| sP12(sK50)
| sP14(sK50) )
& ! [X16] :
( p5(X16)
| ~ r1(sK58,X16) )
& r1(sK50,sK58)
& p5(sK58)
& ~ p5(sK58)
& ( ! [X17] :
( ~ r1(sK50,X17)
| ( r1(X17,sK59(X17))
& ~ p2(sK59(X17)) )
| ~ p2(X17)
| ~ p2(X17)
| p3(X17) )
| sP8(sK50)
| sP7(sK50)
| sP9(sK50)
| ! [X19] :
( p2(X19)
| ~ p3(X19)
| ( ~ p3(sK60(X19))
& r1(X19,sK60(X19)) )
| ~ r1(sK50,X19) ) )
& ( sP4(sK50)
| sP3(sK50)
| sP2(sK50)
| ! [X21] :
( ( ~ p5(sK61(X21))
& r1(X21,sK61(X21)) )
| p4(X21)
| ~ r1(sK50,X21)
| ~ p5(X21) )
| ! [X23] :
( ~ p4(X23)
| ~ p4(X23)
| p5(X23)
| ~ r1(sK50,X23)
| ( ~ p4(sK62(X23))
& r1(X23,sK62(X23)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62])],[f133,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134]) ).
fof(f134,plain,
( ? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
& ( sP24(X0)
| ! [X3] :
( ? [X4] :
( ~ p5(X4)
& r1(X3,X4) )
| ~ r1(X0,X3)
| ~ p5(X3)
| p6(X3)
| ~ p5(X3) )
| ! [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p6(X6) )
| ~ p6(X5)
| ~ r1(X0,X5)
| p5(X5) )
| sP23(X0)
| sP22(X0) )
& ( sP18(X0)
| sP19(X0)
| ! [X7] :
( ~ p1(X7)
| ~ r1(X0,X7)
| ~ p1(X7)
| p2(X7)
| ? [X8] :
( ~ p1(X8)
& r1(X7,X8) ) )
| ! [X9] :
( ? [X10] :
( r1(X9,X10)
& ~ p2(X10) )
| ~ r1(X0,X9)
| ~ p2(X9)
| p1(X9) )
| sP17(X0) )
& ( ! [X11] :
( ~ p3(X11)
| p4(X11)
| ~ p3(X11)
| ? [X12] :
( ~ p3(X12)
& r1(X11,X12) )
| ~ r1(X0,X11) )
| sP13(X0)
| ! [X13] :
( ~ r1(X0,X13)
| ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
| p3(X13)
| ~ p4(X13) )
| sP12(X0)
| sP14(X0) )
& ? [X15] :
( ! [X16] :
( p5(X16)
| ~ r1(X15,X16) )
& r1(X0,X15)
& p5(X15)
& ~ p5(X15) )
& ( ! [X17] :
( ~ r1(X0,X17)
| ? [X18] :
( r1(X17,X18)
& ~ p2(X18) )
| ~ p2(X17)
| ~ p2(X17)
| p3(X17) )
| sP8(X0)
| sP7(X0)
| sP9(X0)
| ! [X19] :
( p2(X19)
| ~ p3(X19)
| ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
| ~ r1(X0,X19) ) )
& ( sP4(X0)
| sP3(X0)
| sP2(X0)
| ! [X21] :
( ? [X22] :
( ~ p5(X22)
& r1(X21,X22) )
| p4(X21)
| ~ r1(X0,X21)
| ~ p5(X21) )
| ! [X23] :
( ~ p4(X23)
| ~ p4(X23)
| p5(X23)
| ~ r1(X0,X23)
| ? [X24] :
( ~ p4(X24)
& r1(X23,X24) ) ) ) )
=> ( ? [X1] :
( r1(sK50,X1)
& ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
& ( sP24(sK50)
| ! [X3] :
( ? [X4] :
( ~ p5(X4)
& r1(X3,X4) )
| ~ r1(sK50,X3)
| ~ p5(X3)
| p6(X3)
| ~ p5(X3) )
| ! [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p6(X6) )
| ~ p6(X5)
| ~ r1(sK50,X5)
| p5(X5) )
| sP23(sK50)
| sP22(sK50) )
& ( sP18(sK50)
| sP19(sK50)
| ! [X7] :
( ~ p1(X7)
| ~ r1(sK50,X7)
| ~ p1(X7)
| p2(X7)
| ? [X8] :
( ~ p1(X8)
& r1(X7,X8) ) )
| ! [X9] :
( ? [X10] :
( r1(X9,X10)
& ~ p2(X10) )
| ~ r1(sK50,X9)
| ~ p2(X9)
| p1(X9) )
| sP17(sK50) )
& ( ! [X11] :
( ~ p3(X11)
| p4(X11)
| ~ p3(X11)
| ? [X12] :
( ~ p3(X12)
& r1(X11,X12) )
| ~ r1(sK50,X11) )
| sP13(sK50)
| ! [X13] :
( ~ r1(sK50,X13)
| ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
| p3(X13)
| ~ p4(X13) )
| sP12(sK50)
| sP14(sK50) )
& ? [X15] :
( ! [X16] :
( p5(X16)
| ~ r1(X15,X16) )
& r1(sK50,X15)
& p5(X15)
& ~ p5(X15) )
& ( ! [X17] :
( ~ r1(sK50,X17)
| ? [X18] :
( r1(X17,X18)
& ~ p2(X18) )
| ~ p2(X17)
| ~ p2(X17)
| p3(X17) )
| sP8(sK50)
| sP7(sK50)
| sP9(sK50)
| ! [X19] :
( p2(X19)
| ~ p3(X19)
| ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
| ~ r1(sK50,X19) ) )
& ( sP4(sK50)
| sP3(sK50)
| sP2(sK50)
| ! [X21] :
( ? [X22] :
( ~ p5(X22)
& r1(X21,X22) )
| p4(X21)
| ~ r1(sK50,X21)
| ~ p5(X21) )
| ! [X23] :
( ~ p4(X23)
| ~ p4(X23)
| p5(X23)
| ~ r1(sK50,X23)
| ? [X24] :
( ~ p4(X24)
& r1(X23,X24) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X1] :
( r1(sK50,X1)
& ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
=> ( r1(sK50,sK51)
& ~ p5(sK51)
& ! [X2] :
( p5(X2)
| ~ r1(sK51,X2) )
& p5(sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X3] :
( ? [X4] :
( ~ p5(X4)
& r1(X3,X4) )
=> ( ~ p5(sK52(X3))
& r1(X3,sK52(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p6(X6) )
=> ( r1(X5,sK53(X5))
& ~ p6(sK53(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X7] :
( ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
=> ( ~ p1(sK54(X7))
& r1(X7,sK54(X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X9] :
( ? [X10] :
( r1(X9,X10)
& ~ p2(X10) )
=> ( r1(X9,sK55(X9))
& ~ p2(sK55(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X11] :
( ? [X12] :
( ~ p3(X12)
& r1(X11,X12) )
=> ( ~ p3(sK56(X11))
& r1(X11,sK56(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X13] :
( ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
=> ( ~ p4(sK57(X13))
& r1(X13,sK57(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X15] :
( ! [X16] :
( p5(X16)
| ~ r1(X15,X16) )
& r1(sK50,X15)
& p5(X15)
& ~ p5(X15) )
=> ( ! [X16] :
( p5(X16)
| ~ r1(sK58,X16) )
& r1(sK50,sK58)
& p5(sK58)
& ~ p5(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X17] :
( ? [X18] :
( r1(X17,X18)
& ~ p2(X18) )
=> ( r1(X17,sK59(X17))
& ~ p2(sK59(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X19] :
( ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
=> ( ~ p3(sK60(X19))
& r1(X19,sK60(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X21] :
( ? [X22] :
( ~ p5(X22)
& r1(X21,X22) )
=> ( ~ p5(sK61(X21))
& r1(X21,sK61(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X23] :
( ? [X24] :
( ~ p4(X24)
& r1(X23,X24) )
=> ( ~ p4(sK62(X23))
& r1(X23,sK62(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
& ( sP24(X0)
| ! [X3] :
( ? [X4] :
( ~ p5(X4)
& r1(X3,X4) )
| ~ r1(X0,X3)
| ~ p5(X3)
| p6(X3)
| ~ p5(X3) )
| ! [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p6(X6) )
| ~ p6(X5)
| ~ r1(X0,X5)
| p5(X5) )
| sP23(X0)
| sP22(X0) )
& ( sP18(X0)
| sP19(X0)
| ! [X7] :
( ~ p1(X7)
| ~ r1(X0,X7)
| ~ p1(X7)
| p2(X7)
| ? [X8] :
( ~ p1(X8)
& r1(X7,X8) ) )
| ! [X9] :
( ? [X10] :
( r1(X9,X10)
& ~ p2(X10) )
| ~ r1(X0,X9)
| ~ p2(X9)
| p1(X9) )
| sP17(X0) )
& ( ! [X11] :
( ~ p3(X11)
| p4(X11)
| ~ p3(X11)
| ? [X12] :
( ~ p3(X12)
& r1(X11,X12) )
| ~ r1(X0,X11) )
| sP13(X0)
| ! [X13] :
( ~ r1(X0,X13)
| ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
| p3(X13)
| ~ p4(X13) )
| sP12(X0)
| sP14(X0) )
& ? [X15] :
( ! [X16] :
( p5(X16)
| ~ r1(X15,X16) )
& r1(X0,X15)
& p5(X15)
& ~ p5(X15) )
& ( ! [X17] :
( ~ r1(X0,X17)
| ? [X18] :
( r1(X17,X18)
& ~ p2(X18) )
| ~ p2(X17)
| ~ p2(X17)
| p3(X17) )
| sP8(X0)
| sP7(X0)
| sP9(X0)
| ! [X19] :
( p2(X19)
| ~ p3(X19)
| ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
| ~ r1(X0,X19) ) )
& ( sP4(X0)
| sP3(X0)
| sP2(X0)
| ! [X21] :
( ? [X22] :
( ~ p5(X22)
& r1(X21,X22) )
| p4(X21)
| ~ r1(X0,X21)
| ~ p5(X21) )
| ! [X23] :
( ~ p4(X23)
| ~ p4(X23)
| p5(X23)
| ~ r1(X0,X23)
| ? [X24] :
( ~ p4(X24)
& r1(X23,X24) ) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
? [X0] :
( ? [X78] :
( r1(X0,X78)
& ~ p5(X78)
& ! [X79] :
( p5(X79)
| ~ r1(X78,X79) )
& p5(X78) )
& ( sP24(X0)
| ! [X27] :
( ? [X28] :
( ~ p5(X28)
& r1(X27,X28) )
| ~ r1(X0,X27)
| ~ p5(X27)
| p6(X27)
| ~ p5(X27) )
| ! [X29] :
( ? [X30] :
( r1(X29,X30)
& ~ p6(X30) )
| ~ p6(X29)
| ~ r1(X0,X29)
| p5(X29) )
| sP23(X0)
| sP22(X0) )
& ( sP18(X0)
| sP19(X0)
| ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ~ p1(X1)
| p2(X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) ) )
| ! [X14] :
( ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
| ~ r1(X0,X14)
| ~ p2(X14)
| p1(X14) )
| sP17(X0) )
& ( ! [X48] :
( ~ p3(X48)
| p4(X48)
| ~ p3(X48)
| ? [X49] :
( ~ p3(X49)
& r1(X48,X49) )
| ~ r1(X0,X48) )
| sP13(X0)
| ! [X61] :
( ~ r1(X0,X61)
| ? [X62] :
( ~ p4(X62)
& r1(X61,X62) )
| p3(X61)
| ~ p4(X61) )
| sP12(X0)
| sP14(X0) )
& ? [X31] :
( ! [X32] :
( p5(X32)
| ~ r1(X31,X32) )
& r1(X0,X31)
& p5(X31)
& ~ p5(X31) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ? [X77] :
( r1(X76,X77)
& ~ p2(X77) )
| ~ p2(X76)
| ~ p2(X76)
| p3(X76) )
| sP8(X0)
| sP7(X0)
| sP9(X0)
| ! [X63] :
( p2(X63)
| ~ p3(X63)
| ? [X64] :
( ~ p3(X64)
& r1(X63,X64) )
| ~ r1(X0,X63) ) )
& ( sP4(X0)
| sP3(X0)
| sP2(X0)
| ! [X33] :
( ? [X34] :
( ~ p5(X34)
& r1(X33,X34) )
| p4(X33)
| ~ r1(X0,X33)
| ~ p5(X33) )
| ! [X46] :
( ~ p4(X46)
| ~ p4(X46)
| p5(X46)
| ~ r1(X0,X46)
| ? [X47] :
( ~ p4(X47)
& r1(X46,X47) ) ) ) ),
inference(definition_folding,[],[f6,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X35] :
( ? [X36] :
( ! [X37] :
( p5(X37)
| ~ r1(X36,X37) )
& ~ p4(X36)
& r1(X35,X36)
& p5(X36) )
| ~ sP0(X35) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X39] :
( ? [X41] :
( ~ p5(X41)
& p4(X41)
& ! [X42] :
( p4(X42)
| ~ r1(X41,X42) )
& p4(X41)
& r1(X39,X41) )
| ~ sP1(X39) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X0] :
( ? [X43] :
( ~ p4(X43)
& p4(X43)
& ! [X45] :
( p4(X45)
| ~ r1(X43,X45) )
& r1(X0,X43)
& ! [X44] :
( ~ r1(X43,X44)
| p5(X44) )
& p5(X43)
& ~ p5(X43)
& p4(X43) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X0] :
( ? [X35] :
( sP0(X35)
& p4(X35)
& ~ p5(X35)
& r1(X0,X35)
& p4(X35)
& ! [X38] :
( p4(X38)
| ~ r1(X35,X38) ) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X0] :
( ? [X39] :
( ! [X40] :
( p5(X40)
| ~ r1(X39,X40) )
& sP1(X39)
& r1(X0,X39)
& p5(X39)
& ~ p4(X39) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X72] :
( ? [X74] :
( p2(X74)
& ~ p3(X74)
& p2(X74)
& r1(X72,X74)
& ! [X75] :
( p2(X75)
| ~ r1(X74,X75) ) )
| ~ sP5(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
! [X65] :
( ? [X67] :
( ! [X68] :
( p3(X68)
| ~ r1(X67,X68) )
& ~ p2(X67)
& r1(X65,X67)
& p3(X67) )
| ~ sP6(X65) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
! [X0] :
( ? [X69] :
( p2(X69)
& ~ p2(X69)
& p3(X69)
& r1(X0,X69)
& ~ p3(X69)
& ! [X71] :
( ~ r1(X69,X71)
| p2(X71) )
& p2(X69)
& ! [X70] :
( p3(X70)
| ~ r1(X69,X70) ) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
! [X0] :
( ? [X65] :
( r1(X0,X65)
& p2(X65)
& ! [X66] :
( p2(X66)
| ~ r1(X65,X66) )
& ~ p3(X65)
& p2(X65)
& sP6(X65) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
! [X0] :
( ? [X72] :
( ~ p2(X72)
& sP5(X72)
& p3(X72)
& r1(X0,X72)
& ! [X73] :
( ~ r1(X72,X73)
| p3(X73) ) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
! [X53] :
( ? [X55] :
( p3(X55)
& r1(X53,X55)
& ! [X56] :
( p3(X56)
| ~ r1(X55,X56) )
& p3(X55)
& ~ p4(X55) )
| ~ sP10(X53) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
! [X57] :
( ? [X59] :
( p4(X59)
& ! [X60] :
( ~ r1(X59,X60)
| p4(X60) )
& r1(X57,X59)
& ~ p3(X59) )
| ~ sP11(X57) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
! [X0] :
( ? [X50] :
( ~ p3(X50)
& p3(X50)
& ~ p4(X50)
& p3(X50)
& r1(X0,X50)
& p4(X50)
& ! [X51] :
( ~ r1(X50,X51)
| p4(X51) )
& ! [X52] :
( ~ r1(X50,X52)
| p3(X52) ) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
! [X0] :
( ? [X57] :
( r1(X0,X57)
& p3(X57)
& sP11(X57)
& ~ p4(X57)
& ! [X58] :
( ~ r1(X57,X58)
| p3(X58) )
& p3(X57) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
! [X0] :
( ? [X53] :
( ~ p3(X53)
& p4(X53)
& sP10(X53)
& ! [X54] :
( ~ r1(X53,X54)
| p4(X54) )
& r1(X0,X53) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
! [X7] :
( ? [X9] :
( p1(X9)
& p1(X9)
& r1(X7,X9)
& ~ p2(X9)
& ! [X10] :
( p1(X10)
| ~ r1(X9,X10) ) )
| ~ sP15(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
! [X3] :
( ? [X4] :
( r1(X3,X4)
& p2(X4)
& ~ p1(X4)
& ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
| ~ sP16(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
! [X0] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& ~ p1(X11)
& p1(X11)
& ~ p2(X11)
& r1(X0,X11)
& p2(X11)
& p1(X11)
& ! [X13] :
( p2(X13)
| ~ r1(X11,X13) ) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
! [X0] :
( ? [X3] :
( r1(X0,X3)
& ~ p2(X3)
& sP16(X3)
& p1(X3)
& ! [X6] :
( p1(X6)
| ~ r1(X3,X6) )
& p1(X3) )
| ~ sP18(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
! [X0] :
( ? [X7] :
( sP15(X7)
& p2(X7)
& ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
& ~ p1(X7)
& r1(X0,X7) )
| ~ sP19(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
! [X16] :
( ? [X17] :
( r1(X16,X17)
& p6(X17)
& ~ p5(X17)
& ! [X18] :
( p6(X18)
| ~ r1(X17,X18) ) )
| ~ sP20(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
! [X20] :
( ? [X22] :
( p5(X22)
& r1(X20,X22)
& p5(X22)
& ~ p6(X22)
& ! [X23] :
( p5(X23)
| ~ r1(X22,X23) ) )
| ~ sP21(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
! [X0] :
( ? [X24] :
( p5(X24)
& p6(X24)
& ~ p5(X24)
& r1(X0,X24)
& ! [X26] :
( ~ r1(X24,X26)
| p5(X26) )
& p5(X24)
& ~ p6(X24)
& ! [X25] :
( p6(X25)
| ~ r1(X24,X25) ) )
| ~ sP22(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
! [X0] :
( ? [X16] :
( ~ p6(X16)
& p5(X16)
& ! [X19] :
( ~ r1(X16,X19)
| p5(X19) )
& r1(X0,X16)
& p5(X16)
& sP20(X16) )
| ~ sP23(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
! [X0] :
( ? [X20] :
( sP21(X20)
& p6(X20)
& ! [X21] :
( p6(X21)
| ~ r1(X20,X21) )
& r1(X0,X20)
& ~ p5(X20) )
| ~ sP24(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f6,plain,
? [X0] :
( ? [X78] :
( r1(X0,X78)
& ~ p5(X78)
& ! [X79] :
( p5(X79)
| ~ r1(X78,X79) )
& p5(X78) )
& ( ? [X20] :
( ? [X22] :
( p5(X22)
& r1(X20,X22)
& p5(X22)
& ~ p6(X22)
& ! [X23] :
( p5(X23)
| ~ r1(X22,X23) ) )
& p6(X20)
& ! [X21] :
( p6(X21)
| ~ r1(X20,X21) )
& r1(X0,X20)
& ~ p5(X20) )
| ! [X27] :
( ? [X28] :
( ~ p5(X28)
& r1(X27,X28) )
| ~ r1(X0,X27)
| ~ p5(X27)
| p6(X27)
| ~ p5(X27) )
| ! [X29] :
( ? [X30] :
( r1(X29,X30)
& ~ p6(X30) )
| ~ p6(X29)
| ~ r1(X0,X29)
| p5(X29) )
| ? [X16] :
( ~ p6(X16)
& p5(X16)
& ! [X19] :
( ~ r1(X16,X19)
| p5(X19) )
& r1(X0,X16)
& p5(X16)
& ? [X17] :
( r1(X16,X17)
& p6(X17)
& ~ p5(X17)
& ! [X18] :
( p6(X18)
| ~ r1(X17,X18) ) ) )
| ? [X24] :
( p5(X24)
& p6(X24)
& ~ p5(X24)
& r1(X0,X24)
& ! [X26] :
( ~ r1(X24,X26)
| p5(X26) )
& p5(X24)
& ~ p6(X24)
& ! [X25] :
( p6(X25)
| ~ r1(X24,X25) ) ) )
& ( ? [X3] :
( r1(X0,X3)
& ~ p2(X3)
& ? [X4] :
( r1(X3,X4)
& p2(X4)
& ~ p1(X4)
& ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& p1(X3)
& ! [X6] :
( p1(X6)
| ~ r1(X3,X6) )
& p1(X3) )
| ? [X7] :
( ? [X9] :
( p1(X9)
& p1(X9)
& r1(X7,X9)
& ~ p2(X9)
& ! [X10] :
( p1(X10)
| ~ r1(X9,X10) ) )
& p2(X7)
& ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
& ~ p1(X7)
& r1(X0,X7) )
| ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ~ p1(X1)
| p2(X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) ) )
| ! [X14] :
( ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
| ~ r1(X0,X14)
| ~ p2(X14)
| p1(X14) )
| ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& ~ p1(X11)
& p1(X11)
& ~ p2(X11)
& r1(X0,X11)
& p2(X11)
& p1(X11)
& ! [X13] :
( p2(X13)
| ~ r1(X11,X13) ) ) )
& ( ! [X48] :
( ~ p3(X48)
| p4(X48)
| ~ p3(X48)
| ? [X49] :
( ~ p3(X49)
& r1(X48,X49) )
| ~ r1(X0,X48) )
| ? [X57] :
( r1(X0,X57)
& p3(X57)
& ? [X59] :
( p4(X59)
& ! [X60] :
( ~ r1(X59,X60)
| p4(X60) )
& r1(X57,X59)
& ~ p3(X59) )
& ~ p4(X57)
& ! [X58] :
( ~ r1(X57,X58)
| p3(X58) )
& p3(X57) )
| ! [X61] :
( ~ r1(X0,X61)
| ? [X62] :
( ~ p4(X62)
& r1(X61,X62) )
| p3(X61)
| ~ p4(X61) )
| ? [X50] :
( ~ p3(X50)
& p3(X50)
& ~ p4(X50)
& p3(X50)
& r1(X0,X50)
& p4(X50)
& ! [X51] :
( ~ r1(X50,X51)
| p4(X51) )
& ! [X52] :
( ~ r1(X50,X52)
| p3(X52) ) )
| ? [X53] :
( ~ p3(X53)
& p4(X53)
& ? [X55] :
( p3(X55)
& r1(X53,X55)
& ! [X56] :
( p3(X56)
| ~ r1(X55,X56) )
& p3(X55)
& ~ p4(X55) )
& ! [X54] :
( ~ r1(X53,X54)
| p4(X54) )
& r1(X0,X53) ) )
& ? [X31] :
( ! [X32] :
( p5(X32)
| ~ r1(X31,X32) )
& r1(X0,X31)
& p5(X31)
& ~ p5(X31) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ? [X77] :
( r1(X76,X77)
& ~ p2(X77) )
| ~ p2(X76)
| ~ p2(X76)
| p3(X76) )
| ? [X65] :
( r1(X0,X65)
& p2(X65)
& ! [X66] :
( p2(X66)
| ~ r1(X65,X66) )
& ~ p3(X65)
& p2(X65)
& ? [X67] :
( ! [X68] :
( p3(X68)
| ~ r1(X67,X68) )
& ~ p2(X67)
& r1(X65,X67)
& p3(X67) ) )
| ? [X69] :
( p2(X69)
& ~ p2(X69)
& p3(X69)
& r1(X0,X69)
& ~ p3(X69)
& ! [X71] :
( ~ r1(X69,X71)
| p2(X71) )
& p2(X69)
& ! [X70] :
( p3(X70)
| ~ r1(X69,X70) ) )
| ? [X72] :
( ~ p2(X72)
& ? [X74] :
( p2(X74)
& ~ p3(X74)
& p2(X74)
& r1(X72,X74)
& ! [X75] :
( p2(X75)
| ~ r1(X74,X75) ) )
& p3(X72)
& r1(X0,X72)
& ! [X73] :
( ~ r1(X72,X73)
| p3(X73) ) )
| ! [X63] :
( p2(X63)
| ~ p3(X63)
| ? [X64] :
( ~ p3(X64)
& r1(X63,X64) )
| ~ r1(X0,X63) ) )
& ( ? [X39] :
( ! [X40] :
( p5(X40)
| ~ r1(X39,X40) )
& ? [X41] :
( ~ p5(X41)
& p4(X41)
& ! [X42] :
( p4(X42)
| ~ r1(X41,X42) )
& p4(X41)
& r1(X39,X41) )
& r1(X0,X39)
& p5(X39)
& ~ p4(X39) )
| ? [X35] :
( ? [X36] :
( ! [X37] :
( p5(X37)
| ~ r1(X36,X37) )
& ~ p4(X36)
& r1(X35,X36)
& p5(X36) )
& p4(X35)
& ~ p5(X35)
& r1(X0,X35)
& p4(X35)
& ! [X38] :
( p4(X38)
| ~ r1(X35,X38) ) )
| ? [X43] :
( ~ p4(X43)
& p4(X43)
& ! [X45] :
( p4(X45)
| ~ r1(X43,X45) )
& r1(X0,X43)
& ! [X44] :
( ~ r1(X43,X44)
| p5(X44) )
& p5(X43)
& ~ p5(X43)
& p4(X43) )
| ! [X33] :
( ? [X34] :
( ~ p5(X34)
& r1(X33,X34) )
| p4(X33)
| ~ r1(X0,X33)
| ~ p5(X33) )
| ! [X46] :
( ~ p4(X46)
| ~ p4(X46)
| p5(X46)
| ~ r1(X0,X46)
| ? [X47] :
( ~ p4(X47)
& r1(X46,X47) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ? [X78] :
( p5(X78)
& ! [X79] :
( p5(X79)
| ~ r1(X78,X79) )
& r1(X0,X78)
& ~ p5(X78) )
& ( ? [X24] :
( ~ p6(X24)
& ~ p5(X24)
& r1(X0,X24)
& p5(X24)
& ! [X26] :
( ~ r1(X24,X26)
| p5(X26) )
& p5(X24)
& p6(X24)
& ! [X25] :
( p6(X25)
| ~ r1(X24,X25) ) )
| ? [X16] :
( ? [X17] :
( r1(X16,X17)
& ~ p5(X17)
& p6(X17)
& ! [X18] :
( p6(X18)
| ~ r1(X17,X18) ) )
& ~ p6(X16)
& p5(X16)
& ! [X19] :
( ~ r1(X16,X19)
| p5(X19) )
& p5(X16)
& r1(X0,X16) )
| ? [X20] :
( ! [X21] :
( p6(X21)
| ~ r1(X20,X21) )
& p6(X20)
& ~ p5(X20)
& ? [X22] :
( p5(X22)
& p5(X22)
& ! [X23] :
( p5(X23)
| ~ r1(X22,X23) )
& r1(X20,X22)
& ~ p6(X22) )
& r1(X0,X20) )
| ! [X27] :
( p6(X27)
| ~ p5(X27)
| ? [X28] :
( ~ p5(X28)
& r1(X27,X28) )
| ~ p5(X27)
| ~ r1(X0,X27) )
| ! [X29] :
( ~ r1(X0,X29)
| ? [X30] :
( r1(X29,X30)
& ~ p6(X30) )
| ~ p6(X29)
| p5(X29) ) )
& ? [X31] :
( r1(X0,X31)
& ! [X32] :
( p5(X32)
| ~ r1(X31,X32) )
& p5(X31)
& ~ p5(X31) )
& ( ! [X33] :
( ? [X34] :
( ~ p5(X34)
& r1(X33,X34) )
| ~ p5(X33)
| ~ r1(X0,X33)
| p4(X33) )
| ? [X39] :
( ! [X40] :
( p5(X40)
| ~ r1(X39,X40) )
& p5(X39)
& ? [X41] :
( ~ p5(X41)
& r1(X39,X41)
& p4(X41)
& ! [X42] :
( p4(X42)
| ~ r1(X41,X42) )
& p4(X41) )
& ~ p4(X39)
& r1(X0,X39) )
| ? [X43] :
( ~ p4(X43)
& ! [X45] :
( p4(X45)
| ~ r1(X43,X45) )
& p4(X43)
& p4(X43)
& ! [X44] :
( ~ r1(X43,X44)
| p5(X44) )
& p5(X43)
& ~ p5(X43)
& r1(X0,X43) )
| ? [X35] :
( ~ p5(X35)
& ? [X36] :
( p5(X36)
& ! [X37] :
( p5(X37)
| ~ r1(X36,X37) )
& r1(X35,X36)
& ~ p4(X36) )
& r1(X0,X35)
& ! [X38] :
( p4(X38)
| ~ r1(X35,X38) )
& p4(X35)
& p4(X35) )
| ! [X46] :
( ~ r1(X0,X46)
| ? [X47] :
( ~ p4(X47)
& r1(X46,X47) )
| ~ p4(X46)
| ~ p4(X46)
| p5(X46) ) )
& ( ! [X61] :
( ~ r1(X0,X61)
| p3(X61)
| ? [X62] :
( ~ p4(X62)
& r1(X61,X62) )
| ~ p4(X61) )
| ! [X48] :
( ~ p3(X48)
| ? [X49] :
( ~ p3(X49)
& r1(X48,X49) )
| ~ p3(X48)
| ~ r1(X0,X48)
| p4(X48) )
| ? [X53] :
( ? [X55] :
( p3(X55)
& p3(X55)
& ! [X56] :
( p3(X56)
| ~ r1(X55,X56) )
& r1(X53,X55)
& ~ p4(X55) )
& ! [X54] :
( ~ r1(X53,X54)
| p4(X54) )
& p4(X53)
& ~ p3(X53)
& r1(X0,X53) )
| ? [X50] :
( ~ p4(X50)
& ~ p3(X50)
& p4(X50)
& ! [X51] :
( ~ r1(X50,X51)
| p4(X51) )
& r1(X0,X50)
& ! [X52] :
( ~ r1(X50,X52)
| p3(X52) )
& p3(X50)
& p3(X50) )
| ? [X57] :
( ~ p4(X57)
& r1(X0,X57)
& ? [X59] :
( r1(X57,X59)
& ~ p3(X59)
& p4(X59)
& ! [X60] :
( ~ r1(X59,X60)
| p4(X60) ) )
& p3(X57)
& p3(X57)
& ! [X58] :
( ~ r1(X57,X58)
| p3(X58) ) ) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ~ p2(X76)
| ~ p2(X76)
| ? [X77] :
( r1(X76,X77)
& ~ p2(X77) )
| p3(X76) )
| ! [X63] :
( ~ r1(X0,X63)
| p2(X63)
| ~ p3(X63)
| ? [X64] :
( ~ p3(X64)
& r1(X63,X64) ) )
| ? [X69] :
( p3(X69)
& ! [X70] :
( p3(X70)
| ~ r1(X69,X70) )
& ~ p3(X69)
& r1(X0,X69)
& ~ p2(X69)
& p2(X69)
& ! [X71] :
( ~ r1(X69,X71)
| p2(X71) )
& p2(X69) )
| ? [X72] :
( ~ p2(X72)
& p3(X72)
& ! [X73] :
( ~ r1(X72,X73)
| p3(X73) )
& ? [X74] :
( r1(X72,X74)
& ~ p3(X74)
& p2(X74)
& p2(X74)
& ! [X75] :
( p2(X75)
| ~ r1(X74,X75) ) )
& r1(X0,X72) )
| ? [X65] :
( ~ p3(X65)
& ? [X67] :
( ~ p2(X67)
& ! [X68] :
( p3(X68)
| ~ r1(X67,X68) )
& p3(X67)
& r1(X65,X67) )
& r1(X0,X65)
& p2(X65)
& p2(X65)
& ! [X66] :
( p2(X66)
| ~ r1(X65,X66) ) ) )
& ( ! [X14] :
( ~ r1(X0,X14)
| ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
| ~ p2(X14)
| p1(X14) )
| ? [X7] :
( r1(X0,X7)
& ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
& p2(X7)
& ~ p1(X7)
& ? [X9] :
( r1(X7,X9)
& p1(X9)
& p1(X9)
& ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
& ~ p2(X9) ) )
| ? [X11] :
( ~ p1(X11)
& p1(X11)
& p1(X11)
& ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X0,X11)
& ~ p2(X11)
& p2(X11)
& ! [X13] :
( p2(X13)
| ~ r1(X11,X13) ) )
| ? [X3] :
( r1(X0,X3)
& ? [X4] :
( r1(X3,X4)
& ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
& p2(X4)
& ~ p1(X4) )
& p1(X3)
& p1(X3)
& ! [X6] :
( p1(X6)
| ~ r1(X3,X6) )
& ~ p2(X3) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ p1(X1)
| ~ p1(X1) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X78] :
( ~ ( p5(X78)
& ! [X79] :
( p5(X79)
| ~ r1(X78,X79) ) )
| ~ r1(X0,X78)
| p5(X78) )
| ~ ( ~ ( ! [X24] :
( p6(X24)
| p5(X24)
| ~ r1(X0,X24)
| ~ ( p5(X24)
& ! [X26] :
( ~ r1(X24,X26)
| p5(X26) )
& p5(X24) )
| ~ ( p6(X24)
& ! [X25] :
( p6(X25)
| ~ r1(X24,X25) ) ) )
& ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| p5(X17)
| ~ ( p6(X17)
& ! [X18] :
( p6(X18)
| ~ r1(X17,X18) ) ) )
| p6(X16)
| ~ ( p5(X16)
& ! [X19] :
( ~ r1(X16,X19)
| p5(X19) )
& p5(X16) )
| ~ r1(X0,X16) )
& ! [X20] :
( ~ ( ! [X21] :
( p6(X21)
| ~ r1(X20,X21) )
& p6(X20) )
| p5(X20)
| ! [X22] :
( ~ ( p5(X22)
& p5(X22)
& ! [X23] :
( p5(X23)
| ~ r1(X22,X23) ) )
| ~ r1(X20,X22)
| p6(X22) )
| ~ r1(X0,X20) ) )
| ! [X27] :
( p6(X27)
| ~ ( p5(X27)
& ! [X28] :
( ~ r1(X27,X28)
| p5(X28) )
& p5(X27) )
| ~ r1(X0,X27) )
| ! [X29] :
( ~ r1(X0,X29)
| ~ ( ! [X30] :
( ~ r1(X29,X30)
| p6(X30) )
& p6(X29) )
| p5(X29) ) )
| ! [X31] :
( ~ r1(X0,X31)
| ~ ( ! [X32] :
( p5(X32)
| ~ r1(X31,X32) )
& p5(X31) )
| p5(X31) )
| ~ ( ! [X33] :
( ~ ( ! [X34] :
( ~ r1(X33,X34)
| p5(X34) )
& p5(X33) )
| ~ r1(X0,X33)
| p4(X33) )
| ~ ( ! [X39] :
( ~ ( ! [X40] :
( p5(X40)
| ~ r1(X39,X40) )
& p5(X39) )
| ! [X41] :
( p5(X41)
| ~ r1(X39,X41)
| ~ ( p4(X41)
& ! [X42] :
( p4(X42)
| ~ r1(X41,X42) )
& p4(X41) ) )
| p4(X39)
| ~ r1(X0,X39) )
& ! [X43] :
( p4(X43)
| ~ ( ! [X45] :
( p4(X45)
| ~ r1(X43,X45) )
& p4(X43)
& p4(X43) )
| ~ ( ! [X44] :
( ~ r1(X43,X44)
| p5(X44) )
& p5(X43) )
| p5(X43)
| ~ r1(X0,X43) )
& ! [X35] :
( p5(X35)
| ! [X36] :
( ~ ( p5(X36)
& ! [X37] :
( p5(X37)
| ~ r1(X36,X37) ) )
| ~ r1(X35,X36)
| p4(X36) )
| ~ r1(X0,X35)
| ~ ( ! [X38] :
( p4(X38)
| ~ r1(X35,X38) )
& p4(X35)
& p4(X35) ) ) )
| ! [X46] :
( ~ r1(X0,X46)
| ~ ( ! [X47] :
( p4(X47)
| ~ r1(X46,X47) )
& p4(X46)
& p4(X46) )
| p5(X46) ) )
| ~ ( ! [X61] :
( ~ r1(X0,X61)
| p3(X61)
| ~ ( ! [X62] :
( ~ r1(X61,X62)
| p4(X62) )
& p4(X61) ) )
| ! [X48] :
( ~ ( p3(X48)
& ! [X49] :
( ~ r1(X48,X49)
| p3(X49) )
& p3(X48) )
| ~ r1(X0,X48)
| p4(X48) )
| ~ ( ! [X53] :
( ! [X55] :
( ~ ( p3(X55)
& p3(X55)
& ! [X56] :
( p3(X56)
| ~ r1(X55,X56) ) )
| ~ r1(X53,X55)
| p4(X55) )
| ~ ( ! [X54] :
( ~ r1(X53,X54)
| p4(X54) )
& p4(X53) )
| p3(X53)
| ~ r1(X0,X53) )
& ! [X50] :
( p4(X50)
| p3(X50)
| ~ ( p4(X50)
& ! [X51] :
( ~ r1(X50,X51)
| p4(X51) ) )
| ~ r1(X0,X50)
| ~ ( ! [X52] :
( ~ r1(X50,X52)
| p3(X52) )
& p3(X50)
& p3(X50) ) )
& ! [X57] :
( p4(X57)
| ~ r1(X0,X57)
| ! [X59] :
( ~ r1(X57,X59)
| p3(X59)
| ~ ( p4(X59)
& ! [X60] :
( ~ r1(X59,X60)
| p4(X60) ) ) )
| ~ ( p3(X57)
& p3(X57)
& ! [X58] :
( ~ r1(X57,X58)
| p3(X58) ) ) ) ) )
| ~ ( ! [X76] :
( ~ r1(X0,X76)
| ~ ( p2(X76)
& p2(X76)
& ! [X77] :
( p2(X77)
| ~ r1(X76,X77) ) )
| p3(X76) )
| ! [X63] :
( ~ r1(X0,X63)
| p2(X63)
| ~ ( p3(X63)
& ! [X64] :
( p3(X64)
| ~ r1(X63,X64) ) ) )
| ~ ( ! [X69] :
( ~ ( p3(X69)
& ! [X70] :
( p3(X70)
| ~ r1(X69,X70) ) )
| p3(X69)
| ~ r1(X0,X69)
| p2(X69)
| ~ ( p2(X69)
& ! [X71] :
( ~ r1(X69,X71)
| p2(X71) )
& p2(X69) ) )
& ! [X72] :
( p2(X72)
| ~ ( p3(X72)
& ! [X73] :
( ~ r1(X72,X73)
| p3(X73) ) )
| ! [X74] :
( ~ r1(X72,X74)
| p3(X74)
| ~ ( p2(X74)
& p2(X74)
& ! [X75] :
( p2(X75)
| ~ r1(X74,X75) ) ) )
| ~ r1(X0,X72) )
& ! [X65] :
( p3(X65)
| ! [X67] :
( p2(X67)
| ~ ( ! [X68] :
( p3(X68)
| ~ r1(X67,X68) )
& p3(X67) )
| ~ r1(X65,X67) )
| ~ r1(X0,X65)
| ~ ( p2(X65)
& p2(X65)
& ! [X66] :
( p2(X66)
| ~ r1(X65,X66) ) ) ) ) )
| ~ ( ! [X14] :
( ~ r1(X0,X14)
| ~ ( ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
& p2(X14) )
| p1(X14) )
| ~ ( ! [X7] :
( ~ r1(X0,X7)
| ~ ( ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
& p2(X7) )
| p1(X7)
| ! [X9] :
( ~ r1(X7,X9)
| ~ ( p1(X9)
& p1(X9)
& ! [X10] :
( p1(X10)
| ~ r1(X9,X10) ) )
| p2(X9) ) )
& ! [X11] :
( p1(X11)
| ~ ( p1(X11)
& p1(X11)
& ! [X12] :
( p1(X12)
| ~ r1(X11,X12) ) )
| ~ r1(X0,X11)
| p2(X11)
| ~ ( p2(X11)
& ! [X13] :
( p2(X13)
| ~ r1(X11,X13) ) ) )
& ! [X3] :
( ~ r1(X0,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ( ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
& p2(X4) )
| p1(X4) )
| ~ ( p1(X3)
& p1(X3)
& ! [X6] :
( p1(X6)
| ~ r1(X3,X6) ) )
| p2(X3) ) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1)
& p1(X1) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X78] :
( ~ ( p5(X78)
& ! [X79] :
( p5(X79)
| ~ r1(X78,X79) ) )
| ~ r1(X0,X78)
| p5(X78) )
| ~ ( ~ ( ! [X24] :
( p6(X24)
| p5(X24)
| ~ r1(X0,X24)
| ~ ( p5(X24)
& ! [X26] :
( ~ r1(X24,X26)
| p5(X26) )
& p5(X24) )
| ~ ( p6(X24)
& ! [X25] :
( p6(X25)
| ~ r1(X24,X25) ) ) )
& ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| p5(X17)
| ~ ( p6(X17)
& ! [X18] :
( p6(X18)
| ~ r1(X17,X18) ) ) )
| p6(X16)
| ~ ( p5(X16)
& ! [X19] :
( ~ r1(X16,X19)
| p5(X19) )
& p5(X16) )
| ~ r1(X0,X16) )
& ! [X20] :
( ~ ( ! [X21] :
( p6(X21)
| ~ r1(X20,X21) )
& p6(X20) )
| p5(X20)
| ! [X22] :
( ~ ( p5(X22)
& p5(X22)
& ! [X23] :
( p5(X23)
| ~ r1(X22,X23) ) )
| ~ r1(X20,X22)
| p6(X22) )
| ~ r1(X0,X20) ) )
| ! [X27] :
( p6(X27)
| ~ ( p5(X27)
& ! [X28] :
( ~ r1(X27,X28)
| p5(X28) )
& p5(X27) )
| ~ r1(X0,X27) )
| ! [X29] :
( ~ r1(X0,X29)
| ~ ( ! [X30] :
( ~ r1(X29,X30)
| p6(X30) )
& p6(X29) )
| p5(X29) ) )
| ! [X31] :
( ~ r1(X0,X31)
| ~ ( ! [X32] :
( p5(X32)
| ~ r1(X31,X32) )
& p5(X31) )
| p5(X31) )
| ~ ( ! [X33] :
( ~ ( ! [X34] :
( ~ r1(X33,X34)
| p5(X34) )
& p5(X33) )
| ~ r1(X0,X33)
| p4(X33) )
| ~ ( ! [X39] :
( ~ ( ! [X40] :
( p5(X40)
| ~ r1(X39,X40) )
& p5(X39) )
| ! [X41] :
( p5(X41)
| ~ r1(X39,X41)
| ~ ( p4(X41)
& ! [X42] :
( p4(X42)
| ~ r1(X41,X42) )
& p4(X41) ) )
| p4(X39)
| ~ r1(X0,X39) )
& ! [X43] :
( p4(X43)
| ~ ( ! [X45] :
( p4(X45)
| ~ r1(X43,X45) )
& p4(X43)
& p4(X43) )
| ~ ( ! [X44] :
( ~ r1(X43,X44)
| p5(X44) )
& p5(X43) )
| p5(X43)
| ~ r1(X0,X43) )
& ! [X35] :
( p5(X35)
| ! [X36] :
( ~ ( p5(X36)
& ! [X37] :
( p5(X37)
| ~ r1(X36,X37) ) )
| ~ r1(X35,X36)
| p4(X36) )
| ~ r1(X0,X35)
| ~ ( ! [X38] :
( p4(X38)
| ~ r1(X35,X38) )
& p4(X35)
& p4(X35) ) ) )
| ! [X46] :
( ~ r1(X0,X46)
| ~ ( ! [X47] :
( p4(X47)
| ~ r1(X46,X47) )
& p4(X46)
& p4(X46) )
| p5(X46) ) )
| ~ ( ! [X61] :
( ~ r1(X0,X61)
| p3(X61)
| ~ ( ! [X62] :
( ~ r1(X61,X62)
| p4(X62) )
& p4(X61) ) )
| ! [X48] :
( ~ ( p3(X48)
& ! [X49] :
( ~ r1(X48,X49)
| p3(X49) )
& p3(X48) )
| ~ r1(X0,X48)
| p4(X48) )
| ~ ( ! [X53] :
( ! [X55] :
( ~ ( p3(X55)
& p3(X55)
& ! [X56] :
( p3(X56)
| ~ r1(X55,X56) ) )
| ~ r1(X53,X55)
| p4(X55) )
| ~ ( ! [X54] :
( ~ r1(X53,X54)
| p4(X54) )
& p4(X53) )
| p3(X53)
| ~ r1(X0,X53) )
& ! [X50] :
( p4(X50)
| p3(X50)
| ~ ( p4(X50)
& ! [X51] :
( ~ r1(X50,X51)
| p4(X51) ) )
| ~ r1(X0,X50)
| ~ ( ! [X52] :
( ~ r1(X50,X52)
| p3(X52) )
& p3(X50)
& p3(X50) ) )
& ! [X57] :
( p4(X57)
| ~ r1(X0,X57)
| ! [X59] :
( ~ r1(X57,X59)
| p3(X59)
| ~ ( p4(X59)
& ! [X60] :
( ~ r1(X59,X60)
| p4(X60) ) ) )
| ~ ( p3(X57)
& p3(X57)
& ! [X58] :
( ~ r1(X57,X58)
| p3(X58) ) ) ) ) )
| ~ ( ! [X76] :
( ~ r1(X0,X76)
| ~ ( p2(X76)
& p2(X76)
& ! [X77] :
( p2(X77)
| ~ r1(X76,X77) ) )
| p3(X76) )
| ! [X63] :
( ~ r1(X0,X63)
| p2(X63)
| ~ ( p3(X63)
& ! [X64] :
( p3(X64)
| ~ r1(X63,X64) ) ) )
| ~ ( ! [X69] :
( ~ ( p3(X69)
& ! [X70] :
( p3(X70)
| ~ r1(X69,X70) ) )
| p3(X69)
| ~ r1(X0,X69)
| p2(X69)
| ~ ( p2(X69)
& ! [X71] :
( ~ r1(X69,X71)
| p2(X71) )
& p2(X69) ) )
& ! [X72] :
( p2(X72)
| ~ ( p3(X72)
& ! [X73] :
( ~ r1(X72,X73)
| p3(X73) ) )
| ! [X74] :
( ~ r1(X72,X74)
| p3(X74)
| ~ ( p2(X74)
& p2(X74)
& ! [X75] :
( p2(X75)
| ~ r1(X74,X75) ) ) )
| ~ r1(X0,X72) )
& ! [X65] :
( p3(X65)
| ! [X67] :
( p2(X67)
| ~ ( ! [X68] :
( p3(X68)
| ~ r1(X67,X68) )
& p3(X67) )
| ~ r1(X65,X67) )
| ~ r1(X0,X65)
| ~ ( p2(X65)
& p2(X65)
& ! [X66] :
( p2(X66)
| ~ r1(X65,X66) ) ) ) ) )
| ~ ( ! [X14] :
( ~ r1(X0,X14)
| ~ ( ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
& p2(X14) )
| p1(X14) )
| ~ ( ! [X7] :
( ~ r1(X0,X7)
| ~ ( ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
& p2(X7) )
| p1(X7)
| ! [X9] :
( ~ r1(X7,X9)
| ~ ( p1(X9)
& p1(X9)
& ! [X10] :
( p1(X10)
| ~ r1(X9,X10) ) )
| p2(X9) ) )
& ! [X11] :
( p1(X11)
| ~ ( p1(X11)
& p1(X11)
& ! [X12] :
( p1(X12)
| ~ r1(X11,X12) ) )
| ~ r1(X0,X11)
| p2(X11)
| ~ ( p2(X11)
& ! [X13] :
( p2(X13)
| ~ r1(X11,X13) ) ) )
& ! [X3] :
( ~ r1(X0,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ( ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
& p2(X4) )
| p1(X4) )
| ~ ( p1(X3)
& p1(X3)
& ! [X6] :
( p1(X6)
| ~ r1(X3,X6) ) )
| p2(X3) ) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1)
& p1(X1) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
& p1(X1)
& p1(X1) ) )
| ~ ( ! [X1] :
( ! [X0] :
( ~ ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& p2(X0) )
| ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1)
| ~ ( p1(X1)
& p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| p2(X1) )
& ! [X1] :
( ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ ( p1(X0)
& p1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p2(X0)
| ~ r1(X1,X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p1(X1)
& p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X1)
| p1(X1) ) )
| ! [X1] :
( p1(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1) )
| ~ r1(X0,X1) ) )
| ~ ( ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ ( p6(X0)
& ! [X1] :
( p6(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0)
| p5(X0) )
| ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| p6(X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ! [X0] :
( p6(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ ( p5(X0)
& ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
& p5(X0) ) )
| p5(X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| p6(X1)
| p5(X1)
| ~ ( p5(X1)
& p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) ) ) )
| ! [X1] :
( p6(X1)
| ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| ~ r1(X0,X1)
| p5(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) ) )
| ~ ( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ! [X1] :
( p5(X1)
| ~ r1(X0,X1) ) )
| p4(X0) )
| p5(X1)
| ~ r1(X0,X1)
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1)
& p4(X1) ) )
& ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) )
| ~ r1(X0,X1)
| p4(X1)
| ! [X0] :
( ~ ( ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
& p4(X0)
& p4(X0) )
| p5(X0)
| ~ r1(X1,X0) ) )
& ! [X1] :
( p5(X1)
| ~ r1(X0,X1)
| p4(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) )
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1)
& p4(X1) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
& p4(X1)
& p4(X1) )
| p5(X1) ) )
| ~ ( ! [X1] :
( ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| ~ r1(X0,X1)
| p4(X1) )
| ~ ( ! [X1] :
( p4(X1)
| ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) ) )
| p3(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
& p3(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( p4(X0)
| ~ r1(X1,X0)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
& p3(X0)
& p3(X0) ) ) )
& ! [X1] :
( ~ ( p3(X1)
& p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ ( p4(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p4(X1) ) ) )
| ~ r1(X0,X1)
| p4(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p2(X1) )
| ~ ( ! [X1] :
( p3(X1)
| ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| ~ r1(X0,X1)
| ! [X0] :
( ~ ( p3(X0)
& ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) )
| p2(X0)
| ~ r1(X1,X0) ) )
& ! [X1] :
( p2(X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p3(X1)
| ~ ( p2(X1)
& p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( p3(X0)
| ~ ( p2(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) ) )
| ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1)
& p2(X1) )
| p3(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) )
| ~ r1(X0,X1)
| p5(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
& p1(X1)
& p1(X1) ) )
| ~ ( ! [X1] :
( ! [X0] :
( ~ ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& p2(X0) )
| ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1)
| ~ ( p1(X1)
& p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| p2(X1) )
& ! [X1] :
( ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ ( p1(X0)
& p1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p2(X0)
| ~ r1(X1,X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p1(X1)
& p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X1)
| p1(X1) ) )
| ! [X1] :
( p1(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1) )
| ~ r1(X0,X1) ) )
| ~ ( ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ ( p6(X0)
& ! [X1] :
( p6(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0)
| p5(X0) )
| ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| p6(X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ! [X0] :
( p6(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ ( p5(X0)
& ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
& p5(X0) ) )
| p5(X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| p6(X1)
| p5(X1)
| ~ ( p5(X1)
& p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) ) ) )
| ! [X1] :
( p6(X1)
| ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| ~ r1(X0,X1)
| p5(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) ) )
| ~ ( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ! [X1] :
( p5(X1)
| ~ r1(X0,X1) ) )
| p4(X0) )
| p5(X1)
| ~ r1(X0,X1)
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1)
& p4(X1) ) )
& ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) )
| ~ r1(X0,X1)
| p4(X1)
| ! [X0] :
( ~ ( ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
& p4(X0)
& p4(X0) )
| p5(X0)
| ~ r1(X1,X0) ) )
& ! [X1] :
( p5(X1)
| ~ r1(X0,X1)
| p4(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) )
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1)
& p4(X1) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
& p4(X1)
& p4(X1) )
| p5(X1) ) )
| ~ ( ! [X1] :
( ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| ~ r1(X0,X1)
| p4(X1) )
| ~ ( ! [X1] :
( p4(X1)
| ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) ) )
| p3(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
& p3(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( p4(X0)
| ~ r1(X1,X0)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
& p3(X0)
& p3(X0) ) ) )
& ! [X1] :
( ~ ( p3(X1)
& p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ ( p4(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p4(X1) ) ) )
| ~ r1(X0,X1)
| p4(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p2(X1) )
| ~ ( ! [X1] :
( p3(X1)
| ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| ~ r1(X0,X1)
| ! [X0] :
( ~ ( p3(X0)
& ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) )
| p2(X0)
| ~ r1(X1,X0) ) )
& ! [X1] :
( p2(X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p3(X1)
| ~ ( p2(X1)
& p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( p3(X0)
| ~ ( p2(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) ) )
| ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1)
& p2(X1) )
| p3(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) )
| ~ r1(X0,X1)
| p5(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f297,plain,
p5(sK58),
inference(cnf_transformation,[],[f147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL644+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 : Tue Aug 30 02:15:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.57 % (31551)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.57 % (31559)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58 % (31565)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.58 % (31551)First to succeed.
% 0.21/0.58 % (31572)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.58 % (31559)Instruction limit reached!
% 0.21/0.58 % (31559)------------------------------
% 0.21/0.58 % (31559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (31553)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.58 % (31573)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.59 % (31551)Refutation found. Thanks to Tanya!
% 0.21/0.59 % SZS status Theorem for theBenchmark
% 0.21/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59 % (31551)------------------------------
% 0.21/0.59 % (31551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (31551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (31551)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (31551)Memory used [KB]: 6396
% 0.21/0.59 % (31551)Time elapsed: 0.148 s
% 0.21/0.59 % (31551)Instructions burned: 7 (million)
% 0.21/0.59 % (31551)------------------------------
% 0.21/0.59 % (31551)------------------------------
% 0.21/0.59 % (31543)Success in time 0.23 s
%------------------------------------------------------------------------------