TSTP Solution File: LCL656+1.020 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL656+1.020 : 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 : n023.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 : Tue Apr 30 13:47:21 EDT 2024
% Result : Theorem 19.85s 3.16s
% Output : Refutation 19.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 92
% Syntax : Number of formulae : 287 ( 47 unt; 0 def)
% Number of atoms : 5185 ( 0 equ)
% Maximal formula atoms : 474 ( 18 avg)
% Number of connectives : 8826 (3928 ~;2956 |;1934 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 119 ( 12 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 127 ( 126 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 1768 (1617 !; 151 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26945,plain,
$false,
inference(subsumption_resolution,[],[f26944,f875]) ).
fof(f875,plain,
r1(sK122,sK82(sK122)),
inference(resolution,[],[f872,f482]) ).
fof(f482,plain,
! [X0] :
( ~ sP39(X0)
| r1(X0,sK82(X0)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( p101(sK82(X0))
& ~ p102(sK82(X0))
& p2(sK82(X0))
& r1(X0,sK82(X0)) )
| ~ sP39(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK82])],[f177,f178]) ).
fof(f178,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK82(X0))
& ~ p102(sK82(X0))
& p2(sK82(X0))
& r1(X0,sK82(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
| ~ sP39(X0) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X20] :
( ? [X63] :
( p101(X63)
& ~ p102(X63)
& p2(X63)
& r1(X20,X63) )
| ~ sP39(X20) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X20] :
( ? [X63] :
( p101(X63)
& ~ p102(X63)
& p2(X63)
& r1(X20,X63) )
| ~ sP39(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f872,plain,
sP39(sK122),
inference(subsumption_resolution,[],[f871,f643]) ).
fof(f643,plain,
p100(sK122),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
( p100(sK122)
& ~ p101(sK122)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP81(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(X10,X11) )
| ~ 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(sK122,X1) )
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( p8(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(sK122,X21) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK122])],[f336,f337]) ).
fof(f337,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP81(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(X10,X11) )
| ~ 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) )
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( p8(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X0,X21) ) )
=> ( p100(sK122)
& ~ p101(sK122)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP81(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(X10,X11) )
| ~ 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(sK122,X1) )
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( p8(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(sK122,X21) ) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP81(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(X10,X11) )
| ~ 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) )
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( p8(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X0,X21) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP81(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(X10,X11) )
| ~ 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) )
& ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(definition_folding,[],[f8,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
! [X20] :
( ? [X102] :
( p120(X102)
& ~ p21(X102)
& r1(X20,X102) )
| ~ sP0(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X20] :
( ? [X101] :
( p120(X101)
& p21(X101)
& r1(X20,X101) )
| ~ sP1(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X20] :
( ? [X100] :
( p119(X100)
& ~ p120(X100)
& ~ p20(X100)
& r1(X20,X100) )
| ~ sP2(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X20] :
( ? [X99] :
( p119(X99)
& ~ p120(X99)
& p20(X99)
& r1(X20,X99) )
| ~ sP3(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X20] :
( ? [X98] :
( p118(X98)
& ~ p119(X98)
& ~ p19(X98)
& r1(X20,X98) )
| ~ sP4(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X20] :
( ? [X97] :
( p118(X97)
& ~ p119(X97)
& p19(X97)
& r1(X20,X97) )
| ~ sP5(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X20] :
( ? [X96] :
( p117(X96)
& ~ p118(X96)
& ~ p18(X96)
& r1(X20,X96) )
| ~ sP6(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X20] :
( ? [X95] :
( p117(X95)
& ~ p118(X95)
& p18(X95)
& r1(X20,X95) )
| ~ sP7(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X20] :
( ? [X94] :
( p116(X94)
& ~ p117(X94)
& ~ p17(X94)
& r1(X20,X94) )
| ~ sP8(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X20] :
( ? [X93] :
( p116(X93)
& ~ p117(X93)
& p17(X93)
& r1(X20,X93) )
| ~ sP9(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X20] :
( ? [X92] :
( p115(X92)
& ~ p116(X92)
& ~ p16(X92)
& r1(X20,X92) )
| ~ sP10(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X20] :
( ? [X91] :
( p115(X91)
& ~ p116(X91)
& p16(X91)
& r1(X20,X91) )
| ~ sP11(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
! [X20] :
( ? [X90] :
( p114(X90)
& ~ p115(X90)
& ~ p15(X90)
& r1(X20,X90) )
| ~ sP12(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f22,plain,
! [X20] :
( ? [X89] :
( p114(X89)
& ~ p115(X89)
& p15(X89)
& r1(X20,X89) )
| ~ sP13(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
! [X20] :
( ? [X88] :
( p113(X88)
& ~ p114(X88)
& ~ p14(X88)
& r1(X20,X88) )
| ~ sP14(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
! [X20] :
( ? [X87] :
( p113(X87)
& ~ p114(X87)
& p14(X87)
& r1(X20,X87) )
| ~ sP15(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
! [X20] :
( ? [X86] :
( p112(X86)
& ~ p113(X86)
& ~ p13(X86)
& r1(X20,X86) )
| ~ sP16(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
! [X20] :
( ? [X85] :
( p112(X85)
& ~ p113(X85)
& p13(X85)
& r1(X20,X85) )
| ~ sP17(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
! [X20] :
( ? [X84] :
( p111(X84)
& ~ p112(X84)
& ~ p12(X84)
& r1(X20,X84) )
| ~ sP18(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
! [X20] :
( ? [X83] :
( p111(X83)
& ~ p112(X83)
& p12(X83)
& r1(X20,X83) )
| ~ sP19(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
! [X20] :
( ? [X82] :
( p110(X82)
& ~ p111(X82)
& ~ p11(X82)
& r1(X20,X82) )
| ~ sP20(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
! [X20] :
( ? [X81] :
( p110(X81)
& ~ p111(X81)
& p11(X81)
& r1(X20,X81) )
| ~ sP21(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
! [X20] :
( ? [X80] :
( p109(X80)
& ~ p110(X80)
& ~ p10(X80)
& r1(X20,X80) )
| ~ sP22(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f32,plain,
! [X20] :
( ? [X79] :
( p109(X79)
& ~ p110(X79)
& p10(X79)
& r1(X20,X79) )
| ~ sP23(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f33,plain,
! [X20] :
( ? [X78] :
( p108(X78)
& ~ p109(X78)
& ~ p9(X78)
& r1(X20,X78) )
| ~ sP24(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f34,plain,
! [X20] :
( ? [X77] :
( p108(X77)
& ~ p109(X77)
& p9(X77)
& r1(X20,X77) )
| ~ sP25(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f35,plain,
! [X20] :
( ? [X76] :
( p107(X76)
& ~ p108(X76)
& ~ p8(X76)
& r1(X20,X76) )
| ~ sP26(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f36,plain,
! [X20] :
( ? [X75] :
( p107(X75)
& ~ p108(X75)
& p8(X75)
& r1(X20,X75) )
| ~ sP27(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f37,plain,
! [X20] :
( ? [X74] :
( p106(X74)
& ~ p107(X74)
& ~ p7(X74)
& r1(X20,X74) )
| ~ sP28(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f38,plain,
! [X20] :
( ? [X73] :
( p106(X73)
& ~ p107(X73)
& p7(X73)
& r1(X20,X73) )
| ~ sP29(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f39,plain,
! [X20] :
( ? [X72] :
( p105(X72)
& ~ p106(X72)
& ~ p6(X72)
& r1(X20,X72) )
| ~ sP30(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f40,plain,
! [X20] :
( ? [X71] :
( p105(X71)
& ~ p106(X71)
& p6(X71)
& r1(X20,X71) )
| ~ sP31(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f41,plain,
! [X20] :
( ? [X70] :
( p104(X70)
& ~ p105(X70)
& ~ p5(X70)
& r1(X20,X70) )
| ~ sP32(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f42,plain,
! [X20] :
( ? [X69] :
( p104(X69)
& ~ p105(X69)
& p5(X69)
& r1(X20,X69) )
| ~ sP33(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f43,plain,
! [X20] :
( ? [X68] :
( p103(X68)
& ~ p104(X68)
& ~ p4(X68)
& r1(X20,X68) )
| ~ sP34(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f44,plain,
! [X20] :
( ? [X67] :
( p103(X67)
& ~ p104(X67)
& p4(X67)
& r1(X20,X67) )
| ~ sP35(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f45,plain,
! [X20] :
( ? [X66] :
( p102(X66)
& ~ p103(X66)
& ~ p3(X66)
& r1(X20,X66) )
| ~ sP36(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f46,plain,
! [X20] :
( ? [X65] :
( p102(X65)
& ~ p103(X65)
& p3(X65)
& r1(X20,X65) )
| ~ sP37(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f47,plain,
! [X20] :
( ? [X64] :
( p101(X64)
& ~ p102(X64)
& ~ p2(X64)
& r1(X20,X64) )
| ~ sP38(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f49,plain,
! [X20] :
( ~ p119(X20)
| p120(X20)
| ( sP1(X20)
& sP0(X20) )
| ~ sP40(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f50,plain,
! [X20] :
( ~ p118(X20)
| p119(X20)
| ( sP3(X20)
& sP2(X20) )
| ~ sP41(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f51,plain,
! [X20] :
( ~ p117(X20)
| p118(X20)
| ( sP5(X20)
& sP4(X20) )
| ~ sP42(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f52,plain,
! [X20] :
( ~ p116(X20)
| p117(X20)
| ( sP7(X20)
& sP6(X20) )
| ~ sP43(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f53,plain,
! [X20] :
( ~ p115(X20)
| p116(X20)
| ( sP9(X20)
& sP8(X20) )
| ~ sP44(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f54,plain,
! [X20] :
( ~ p114(X20)
| p115(X20)
| ( sP11(X20)
& sP10(X20) )
| ~ sP45(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f55,plain,
! [X20] :
( ~ p113(X20)
| p114(X20)
| ( sP13(X20)
& sP12(X20) )
| ~ sP46(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f56,plain,
! [X20] :
( ~ p112(X20)
| p113(X20)
| ( sP15(X20)
& sP14(X20) )
| ~ sP47(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f57,plain,
! [X20] :
( ~ p111(X20)
| p112(X20)
| ( sP17(X20)
& sP16(X20) )
| ~ sP48(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f58,plain,
! [X20] :
( ~ p110(X20)
| p111(X20)
| ( sP19(X20)
& sP18(X20) )
| ~ sP49(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f59,plain,
! [X20] :
( ~ p109(X20)
| p110(X20)
| ( sP21(X20)
& sP20(X20) )
| ~ sP50(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f60,plain,
! [X20] :
( ~ p108(X20)
| p109(X20)
| ( sP23(X20)
& sP22(X20) )
| ~ sP51(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f61,plain,
! [X20] :
( ~ p107(X20)
| p108(X20)
| ( sP25(X20)
& sP24(X20) )
| ~ sP52(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f62,plain,
! [X20] :
( ~ p106(X20)
| p107(X20)
| ( sP27(X20)
& sP26(X20) )
| ~ sP53(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f63,plain,
! [X20] :
( ~ p105(X20)
| p106(X20)
| ( sP29(X20)
& sP28(X20) )
| ~ sP54(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f64,plain,
! [X20] :
( ~ p104(X20)
| p105(X20)
| ( sP31(X20)
& sP30(X20) )
| ~ sP55(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f65,plain,
! [X20] :
( ~ p103(X20)
| p104(X20)
| ( sP33(X20)
& sP32(X20) )
| ~ sP56(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f66,plain,
! [X20] :
( ~ p102(X20)
| p103(X20)
| ( sP35(X20)
& sP34(X20) )
| ~ sP57(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f67,plain,
! [X20] :
( ~ p101(X20)
| p102(X20)
| ( sP37(X20)
& sP36(X20) )
| ~ sP58(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f68,plain,
! [X20] :
( ~ p100(X20)
| p101(X20)
| ( sP39(X20)
& sP38(X20) )
| ~ sP59(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f69,plain,
! [X20] :
( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) )
| ~ sP60(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f70,plain,
! [X20] :
( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) )
| ~ sP61(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f71,plain,
! [X20] :
( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) )
| ~ sP62(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f72,plain,
! [X20] :
( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) )
| ~ sP63(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f73,plain,
! [X20] :
( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) )
| ~ sP64(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f74,plain,
! [X20] :
( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) )
| ~ sP65(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f75,plain,
! [X20] :
( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) )
| ~ sP66(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f76,plain,
! [X20] :
( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) )
| ~ sP67(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f77,plain,
! [X20] :
( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) )
| ~ sP68(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f78,plain,
! [X20] :
( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) )
| ~ sP69(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f79,plain,
! [X20] :
( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) )
| ~ sP70(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f80,plain,
! [X20] :
( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) )
| ~ sP71(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f81,plain,
! [X20] :
( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) )
| ~ sP72(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f82,plain,
! [X20] :
( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) )
| ~ sP73(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f83,plain,
! [X20] :
( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) )
| ~ sP74(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f84,plain,
! [X20] :
( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) )
| ~ sP75(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f85,plain,
! [X20] :
( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) )
| ~ sP76(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f86,plain,
! [X20] :
( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) )
| ~ sP77(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f87,plain,
! [X20] :
( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) )
| ~ sP78(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f88,plain,
! [X20] :
( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) )
| ~ sP79(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f89,plain,
! [X20] :
( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) )
| ~ sP80(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f90,plain,
! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& sP80(X20)
& sP79(X20)
& sP78(X20)
& sP77(X20)
& sP76(X20)
& sP75(X20)
& sP74(X20)
& sP73(X20)
& sP72(X20)
& sP71(X20)
& sP70(X20)
& sP69(X20)
& sP68(X20)
& sP67(X20)
& sP66(X20)
& sP65(X20)
& sP64(X20)
& sP63(X20)
& sP62(X20)
& sP61(X20)
& sP60(X20)
& sP59(X20)
& sP58(X20)
& sP57(X20)
& sP56(X20)
& sP55(X20)
& sP54(X20)
& sP53(X20)
& sP52(X20)
& sP51(X20)
& sP50(X20)
& sP49(X20)
& sP48(X20)
& sP47(X20)
& sP46(X20)
& sP45(X20)
& sP44(X20)
& sP43(X20)
& sP42(X20)
& sP41(X20)
& sP40(X20) )
| ~ sP81(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ p100(X20)
| p101(X20)
| ( ? [X63] :
( p101(X63)
& ~ p102(X63)
& p2(X63)
& r1(X20,X63) )
& ? [X64] :
( p101(X64)
& ~ p102(X64)
& ~ p2(X64)
& r1(X20,X64) ) ) )
& ( ~ p101(X20)
| p102(X20)
| ( ? [X65] :
( p102(X65)
& ~ p103(X65)
& p3(X65)
& r1(X20,X65) )
& ? [X66] :
( p102(X66)
& ~ p103(X66)
& ~ p3(X66)
& r1(X20,X66) ) ) )
& ( ~ p102(X20)
| p103(X20)
| ( ? [X67] :
( p103(X67)
& ~ p104(X67)
& p4(X67)
& r1(X20,X67) )
& ? [X68] :
( p103(X68)
& ~ p104(X68)
& ~ p4(X68)
& r1(X20,X68) ) ) )
& ( ~ p103(X20)
| p104(X20)
| ( ? [X69] :
( p104(X69)
& ~ p105(X69)
& p5(X69)
& r1(X20,X69) )
& ? [X70] :
( p104(X70)
& ~ p105(X70)
& ~ p5(X70)
& r1(X20,X70) ) ) )
& ( ~ p104(X20)
| p105(X20)
| ( ? [X71] :
( p105(X71)
& ~ p106(X71)
& p6(X71)
& r1(X20,X71) )
& ? [X72] :
( p105(X72)
& ~ p106(X72)
& ~ p6(X72)
& r1(X20,X72) ) ) )
& ( ~ p105(X20)
| p106(X20)
| ( ? [X73] :
( p106(X73)
& ~ p107(X73)
& p7(X73)
& r1(X20,X73) )
& ? [X74] :
( p106(X74)
& ~ p107(X74)
& ~ p7(X74)
& r1(X20,X74) ) ) )
& ( ~ p106(X20)
| p107(X20)
| ( ? [X75] :
( p107(X75)
& ~ p108(X75)
& p8(X75)
& r1(X20,X75) )
& ? [X76] :
( p107(X76)
& ~ p108(X76)
& ~ p8(X76)
& r1(X20,X76) ) ) )
& ( ~ p107(X20)
| p108(X20)
| ( ? [X77] :
( p108(X77)
& ~ p109(X77)
& p9(X77)
& r1(X20,X77) )
& ? [X78] :
( p108(X78)
& ~ p109(X78)
& ~ p9(X78)
& r1(X20,X78) ) ) )
& ( ~ p108(X20)
| p109(X20)
| ( ? [X79] :
( p109(X79)
& ~ p110(X79)
& p10(X79)
& r1(X20,X79) )
& ? [X80] :
( p109(X80)
& ~ p110(X80)
& ~ p10(X80)
& r1(X20,X80) ) ) )
& ( ~ p109(X20)
| p110(X20)
| ( ? [X81] :
( p110(X81)
& ~ p111(X81)
& p11(X81)
& r1(X20,X81) )
& ? [X82] :
( p110(X82)
& ~ p111(X82)
& ~ p11(X82)
& r1(X20,X82) ) ) )
& ( ~ p110(X20)
| p111(X20)
| ( ? [X83] :
( p111(X83)
& ~ p112(X83)
& p12(X83)
& r1(X20,X83) )
& ? [X84] :
( p111(X84)
& ~ p112(X84)
& ~ p12(X84)
& r1(X20,X84) ) ) )
& ( ~ p111(X20)
| p112(X20)
| ( ? [X85] :
( p112(X85)
& ~ p113(X85)
& p13(X85)
& r1(X20,X85) )
& ? [X86] :
( p112(X86)
& ~ p113(X86)
& ~ p13(X86)
& r1(X20,X86) ) ) )
& ( ~ p112(X20)
| p113(X20)
| ( ? [X87] :
( p113(X87)
& ~ p114(X87)
& p14(X87)
& r1(X20,X87) )
& ? [X88] :
( p113(X88)
& ~ p114(X88)
& ~ p14(X88)
& r1(X20,X88) ) ) )
& ( ~ p113(X20)
| p114(X20)
| ( ? [X89] :
( p114(X89)
& ~ p115(X89)
& p15(X89)
& r1(X20,X89) )
& ? [X90] :
( p114(X90)
& ~ p115(X90)
& ~ p15(X90)
& r1(X20,X90) ) ) )
& ( ~ p114(X20)
| p115(X20)
| ( ? [X91] :
( p115(X91)
& ~ p116(X91)
& p16(X91)
& r1(X20,X91) )
& ? [X92] :
( p115(X92)
& ~ p116(X92)
& ~ p16(X92)
& r1(X20,X92) ) ) )
& ( ~ p115(X20)
| p116(X20)
| ( ? [X93] :
( p116(X93)
& ~ p117(X93)
& p17(X93)
& r1(X20,X93) )
& ? [X94] :
( p116(X94)
& ~ p117(X94)
& ~ p17(X94)
& r1(X20,X94) ) ) )
& ( ~ p116(X20)
| p117(X20)
| ( ? [X95] :
( p117(X95)
& ~ p118(X95)
& p18(X95)
& r1(X20,X95) )
& ? [X96] :
( p117(X96)
& ~ p118(X96)
& ~ p18(X96)
& r1(X20,X96) ) ) )
& ( ~ p117(X20)
| p118(X20)
| ( ? [X97] :
( p118(X97)
& ~ p119(X97)
& p19(X97)
& r1(X20,X97) )
& ? [X98] :
( p118(X98)
& ~ p119(X98)
& ~ p19(X98)
& r1(X20,X98) ) ) )
& ( ~ p118(X20)
| p119(X20)
| ( ? [X99] :
( p119(X99)
& ~ p120(X99)
& p20(X99)
& r1(X20,X99) )
& ? [X100] :
( p119(X100)
& ~ p120(X100)
& ~ p20(X100)
& r1(X20,X100) ) ) )
& ( ~ p119(X20)
| p120(X20)
| ( ? [X101] :
( p120(X101)
& p21(X101)
& r1(X20,X101) )
& ? [X102] :
( p120(X102)
& ~ p21(X102)
& r1(X20,X102) ) ) ) )
| ~ 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(X10,X11) )
| ~ 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) )
& ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ p100(X20)
| p101(X20)
| ( ? [X63] :
( p101(X63)
& ~ p102(X63)
& p2(X63)
& r1(X20,X63) )
& ? [X64] :
( p101(X64)
& ~ p102(X64)
& ~ p2(X64)
& r1(X20,X64) ) ) )
& ( ~ p101(X20)
| p102(X20)
| ( ? [X65] :
( p102(X65)
& ~ p103(X65)
& p3(X65)
& r1(X20,X65) )
& ? [X66] :
( p102(X66)
& ~ p103(X66)
& ~ p3(X66)
& r1(X20,X66) ) ) )
& ( ~ p102(X20)
| p103(X20)
| ( ? [X67] :
( p103(X67)
& ~ p104(X67)
& p4(X67)
& r1(X20,X67) )
& ? [X68] :
( p103(X68)
& ~ p104(X68)
& ~ p4(X68)
& r1(X20,X68) ) ) )
& ( ~ p103(X20)
| p104(X20)
| ( ? [X69] :
( p104(X69)
& ~ p105(X69)
& p5(X69)
& r1(X20,X69) )
& ? [X70] :
( p104(X70)
& ~ p105(X70)
& ~ p5(X70)
& r1(X20,X70) ) ) )
& ( ~ p104(X20)
| p105(X20)
| ( ? [X71] :
( p105(X71)
& ~ p106(X71)
& p6(X71)
& r1(X20,X71) )
& ? [X72] :
( p105(X72)
& ~ p106(X72)
& ~ p6(X72)
& r1(X20,X72) ) ) )
& ( ~ p105(X20)
| p106(X20)
| ( ? [X73] :
( p106(X73)
& ~ p107(X73)
& p7(X73)
& r1(X20,X73) )
& ? [X74] :
( p106(X74)
& ~ p107(X74)
& ~ p7(X74)
& r1(X20,X74) ) ) )
& ( ~ p106(X20)
| p107(X20)
| ( ? [X75] :
( p107(X75)
& ~ p108(X75)
& p8(X75)
& r1(X20,X75) )
& ? [X76] :
( p107(X76)
& ~ p108(X76)
& ~ p8(X76)
& r1(X20,X76) ) ) )
& ( ~ p107(X20)
| p108(X20)
| ( ? [X77] :
( p108(X77)
& ~ p109(X77)
& p9(X77)
& r1(X20,X77) )
& ? [X78] :
( p108(X78)
& ~ p109(X78)
& ~ p9(X78)
& r1(X20,X78) ) ) )
& ( ~ p108(X20)
| p109(X20)
| ( ? [X79] :
( p109(X79)
& ~ p110(X79)
& p10(X79)
& r1(X20,X79) )
& ? [X80] :
( p109(X80)
& ~ p110(X80)
& ~ p10(X80)
& r1(X20,X80) ) ) )
& ( ~ p109(X20)
| p110(X20)
| ( ? [X81] :
( p110(X81)
& ~ p111(X81)
& p11(X81)
& r1(X20,X81) )
& ? [X82] :
( p110(X82)
& ~ p111(X82)
& ~ p11(X82)
& r1(X20,X82) ) ) )
& ( ~ p110(X20)
| p111(X20)
| ( ? [X83] :
( p111(X83)
& ~ p112(X83)
& p12(X83)
& r1(X20,X83) )
& ? [X84] :
( p111(X84)
& ~ p112(X84)
& ~ p12(X84)
& r1(X20,X84) ) ) )
& ( ~ p111(X20)
| p112(X20)
| ( ? [X85] :
( p112(X85)
& ~ p113(X85)
& p13(X85)
& r1(X20,X85) )
& ? [X86] :
( p112(X86)
& ~ p113(X86)
& ~ p13(X86)
& r1(X20,X86) ) ) )
& ( ~ p112(X20)
| p113(X20)
| ( ? [X87] :
( p113(X87)
& ~ p114(X87)
& p14(X87)
& r1(X20,X87) )
& ? [X88] :
( p113(X88)
& ~ p114(X88)
& ~ p14(X88)
& r1(X20,X88) ) ) )
& ( ~ p113(X20)
| p114(X20)
| ( ? [X89] :
( p114(X89)
& ~ p115(X89)
& p15(X89)
& r1(X20,X89) )
& ? [X90] :
( p114(X90)
& ~ p115(X90)
& ~ p15(X90)
& r1(X20,X90) ) ) )
& ( ~ p114(X20)
| p115(X20)
| ( ? [X91] :
( p115(X91)
& ~ p116(X91)
& p16(X91)
& r1(X20,X91) )
& ? [X92] :
( p115(X92)
& ~ p116(X92)
& ~ p16(X92)
& r1(X20,X92) ) ) )
& ( ~ p115(X20)
| p116(X20)
| ( ? [X93] :
( p116(X93)
& ~ p117(X93)
& p17(X93)
& r1(X20,X93) )
& ? [X94] :
( p116(X94)
& ~ p117(X94)
& ~ p17(X94)
& r1(X20,X94) ) ) )
& ( ~ p116(X20)
| p117(X20)
| ( ? [X95] :
( p117(X95)
& ~ p118(X95)
& p18(X95)
& r1(X20,X95) )
& ? [X96] :
( p117(X96)
& ~ p118(X96)
& ~ p18(X96)
& r1(X20,X96) ) ) )
& ( ~ p117(X20)
| p118(X20)
| ( ? [X97] :
( p118(X97)
& ~ p119(X97)
& p19(X97)
& r1(X20,X97) )
& ? [X98] :
( p118(X98)
& ~ p119(X98)
& ~ p19(X98)
& r1(X20,X98) ) ) )
& ( ~ p118(X20)
| p119(X20)
| ( ? [X99] :
( p119(X99)
& ~ p120(X99)
& p20(X99)
& r1(X20,X99) )
& ? [X100] :
( p119(X100)
& ~ p120(X100)
& ~ p20(X100)
& r1(X20,X100) ) ) )
& ( ~ p119(X20)
| p120(X20)
| ( ? [X101] :
( p120(X101)
& p21(X101)
& r1(X20,X101) )
& ? [X102] :
( p120(X102)
& ~ p21(X102)
& r1(X20,X102) ) ) ) )
| ~ 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(X10,X11) )
| ~ 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) )
& ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X63] :
( ~ ( p101(X63)
& ~ p102(X63)
& p2(X63) )
| ~ r1(X20,X63) )
& ~ ! [X64] :
( ~ ( p101(X64)
& ~ p102(X64)
& ~ p2(X64) )
| ~ r1(X20,X64) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X65] :
( ~ ( p102(X65)
& ~ p103(X65)
& p3(X65) )
| ~ r1(X20,X65) )
& ~ ! [X66] :
( ~ ( p102(X66)
& ~ p103(X66)
& ~ p3(X66) )
| ~ r1(X20,X66) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X67] :
( ~ ( p103(X67)
& ~ p104(X67)
& p4(X67) )
| ~ r1(X20,X67) )
& ~ ! [X68] :
( ~ ( p103(X68)
& ~ p104(X68)
& ~ p4(X68) )
| ~ r1(X20,X68) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X69] :
( ~ ( p104(X69)
& ~ p105(X69)
& p5(X69) )
| ~ r1(X20,X69) )
& ~ ! [X70] :
( ~ ( p104(X70)
& ~ p105(X70)
& ~ p5(X70) )
| ~ r1(X20,X70) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& p6(X71) )
| ~ r1(X20,X71) )
& ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& ~ p6(X72) )
| ~ r1(X20,X72) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X73] :
( ~ ( p106(X73)
& ~ p107(X73)
& p7(X73) )
| ~ r1(X20,X73) )
& ~ ! [X74] :
( ~ ( p106(X74)
& ~ p107(X74)
& ~ p7(X74) )
| ~ r1(X20,X74) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X75] :
( ~ ( p107(X75)
& ~ p108(X75)
& p8(X75) )
| ~ r1(X20,X75) )
& ~ ! [X76] :
( ~ ( p107(X76)
& ~ p108(X76)
& ~ p8(X76) )
| ~ r1(X20,X76) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X77] :
( ~ ( p108(X77)
& ~ p109(X77)
& p9(X77) )
| ~ r1(X20,X77) )
& ~ ! [X78] :
( ~ ( p108(X78)
& ~ p109(X78)
& ~ p9(X78) )
| ~ r1(X20,X78) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X79] :
( ~ ( p109(X79)
& ~ p110(X79)
& p10(X79) )
| ~ r1(X20,X79) )
& ~ ! [X80] :
( ~ ( p109(X80)
& ~ p110(X80)
& ~ p10(X80) )
| ~ r1(X20,X80) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X81] :
( ~ ( p110(X81)
& ~ p111(X81)
& p11(X81) )
| ~ r1(X20,X81) )
& ~ ! [X82] :
( ~ ( p110(X82)
& ~ p111(X82)
& ~ p11(X82) )
| ~ r1(X20,X82) ) ) )
& ( ~ ( p110(X20)
& ~ p111(X20) )
| ( ~ ! [X83] :
( ~ ( p111(X83)
& ~ p112(X83)
& p12(X83) )
| ~ r1(X20,X83) )
& ~ ! [X84] :
( ~ ( p111(X84)
& ~ p112(X84)
& ~ p12(X84) )
| ~ r1(X20,X84) ) ) )
& ( ~ ( p111(X20)
& ~ p112(X20) )
| ( ~ ! [X85] :
( ~ ( p112(X85)
& ~ p113(X85)
& p13(X85) )
| ~ r1(X20,X85) )
& ~ ! [X86] :
( ~ ( p112(X86)
& ~ p113(X86)
& ~ p13(X86) )
| ~ r1(X20,X86) ) ) )
& ( ~ ( p112(X20)
& ~ p113(X20) )
| ( ~ ! [X87] :
( ~ ( p113(X87)
& ~ p114(X87)
& p14(X87) )
| ~ r1(X20,X87) )
& ~ ! [X88] :
( ~ ( p113(X88)
& ~ p114(X88)
& ~ p14(X88) )
| ~ r1(X20,X88) ) ) )
& ( ~ ( p113(X20)
& ~ p114(X20) )
| ( ~ ! [X89] :
( ~ ( p114(X89)
& ~ p115(X89)
& p15(X89) )
| ~ r1(X20,X89) )
& ~ ! [X90] :
( ~ ( p114(X90)
& ~ p115(X90)
& ~ p15(X90) )
| ~ r1(X20,X90) ) ) )
& ( ~ ( p114(X20)
& ~ p115(X20) )
| ( ~ ! [X91] :
( ~ ( p115(X91)
& ~ p116(X91)
& p16(X91) )
| ~ r1(X20,X91) )
& ~ ! [X92] :
( ~ ( p115(X92)
& ~ p116(X92)
& ~ p16(X92) )
| ~ r1(X20,X92) ) ) )
& ( ~ ( p115(X20)
& ~ p116(X20) )
| ( ~ ! [X93] :
( ~ ( p116(X93)
& ~ p117(X93)
& p17(X93) )
| ~ r1(X20,X93) )
& ~ ! [X94] :
( ~ ( p116(X94)
& ~ p117(X94)
& ~ p17(X94) )
| ~ r1(X20,X94) ) ) )
& ( ~ ( p116(X20)
& ~ p117(X20) )
| ( ~ ! [X95] :
( ~ ( p117(X95)
& ~ p118(X95)
& p18(X95) )
| ~ r1(X20,X95) )
& ~ ! [X96] :
( ~ ( p117(X96)
& ~ p118(X96)
& ~ p18(X96) )
| ~ r1(X20,X96) ) ) )
& ( ~ ( p117(X20)
& ~ p118(X20) )
| ( ~ ! [X97] :
( ~ ( p118(X97)
& ~ p119(X97)
& p19(X97) )
| ~ r1(X20,X97) )
& ~ ! [X98] :
( ~ ( p118(X98)
& ~ p119(X98)
& ~ p19(X98) )
| ~ r1(X20,X98) ) ) )
& ( ~ ( p118(X20)
& ~ p119(X20) )
| ( ~ ! [X99] :
( ~ ( p119(X99)
& ~ p120(X99)
& p20(X99) )
| ~ r1(X20,X99) )
& ~ ! [X100] :
( ~ ( p119(X100)
& ~ p120(X100)
& ~ p20(X100) )
| ~ r1(X20,X100) ) ) )
& ( ~ ( p119(X20)
& ~ p120(X20) )
| ( ~ ! [X101] :
( ~ ( p120(X101)
& p21(X101) )
| ~ r1(X20,X101) )
& ~ ! [X102] :
( ~ ( p120(X102)
& ~ p21(X102) )
| ~ r1(X20,X102) ) ) ) )
| ~ 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(X10,X11) )
| ~ 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) ) )
| ~ ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p121(X20)
| p120(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X63] :
( ~ ( p101(X63)
& ~ p102(X63)
& p2(X63) )
| ~ r1(X20,X63) )
& ~ ! [X64] :
( ~ ( p101(X64)
& ~ p102(X64)
& ~ p2(X64) )
| ~ r1(X20,X64) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X65] :
( ~ ( p102(X65)
& ~ p103(X65)
& p3(X65) )
| ~ r1(X20,X65) )
& ~ ! [X66] :
( ~ ( p102(X66)
& ~ p103(X66)
& ~ p3(X66) )
| ~ r1(X20,X66) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X67] :
( ~ ( p103(X67)
& ~ p104(X67)
& p4(X67) )
| ~ r1(X20,X67) )
& ~ ! [X68] :
( ~ ( p103(X68)
& ~ p104(X68)
& ~ p4(X68) )
| ~ r1(X20,X68) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X69] :
( ~ ( p104(X69)
& ~ p105(X69)
& p5(X69) )
| ~ r1(X20,X69) )
& ~ ! [X70] :
( ~ ( p104(X70)
& ~ p105(X70)
& ~ p5(X70) )
| ~ r1(X20,X70) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& p6(X71) )
| ~ r1(X20,X71) )
& ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& ~ p6(X72) )
| ~ r1(X20,X72) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X73] :
( ~ ( p106(X73)
& ~ p107(X73)
& p7(X73) )
| ~ r1(X20,X73) )
& ~ ! [X74] :
( ~ ( p106(X74)
& ~ p107(X74)
& ~ p7(X74) )
| ~ r1(X20,X74) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X75] :
( ~ ( p107(X75)
& ~ p108(X75)
& p8(X75) )
| ~ r1(X20,X75) )
& ~ ! [X76] :
( ~ ( p107(X76)
& ~ p108(X76)
& ~ p8(X76) )
| ~ r1(X20,X76) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X77] :
( ~ ( p108(X77)
& ~ p109(X77)
& p9(X77) )
| ~ r1(X20,X77) )
& ~ ! [X78] :
( ~ ( p108(X78)
& ~ p109(X78)
& ~ p9(X78) )
| ~ r1(X20,X78) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X79] :
( ~ ( p109(X79)
& ~ p110(X79)
& p10(X79) )
| ~ r1(X20,X79) )
& ~ ! [X80] :
( ~ ( p109(X80)
& ~ p110(X80)
& ~ p10(X80) )
| ~ r1(X20,X80) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X81] :
( ~ ( p110(X81)
& ~ p111(X81)
& p11(X81) )
| ~ r1(X20,X81) )
& ~ ! [X82] :
( ~ ( p110(X82)
& ~ p111(X82)
& ~ p11(X82) )
| ~ r1(X20,X82) ) ) )
& ( ~ ( p110(X20)
& ~ p111(X20) )
| ( ~ ! [X83] :
( ~ ( p111(X83)
& ~ p112(X83)
& p12(X83) )
| ~ r1(X20,X83) )
& ~ ! [X84] :
( ~ ( p111(X84)
& ~ p112(X84)
& ~ p12(X84) )
| ~ r1(X20,X84) ) ) )
& ( ~ ( p111(X20)
& ~ p112(X20) )
| ( ~ ! [X85] :
( ~ ( p112(X85)
& ~ p113(X85)
& p13(X85) )
| ~ r1(X20,X85) )
& ~ ! [X86] :
( ~ ( p112(X86)
& ~ p113(X86)
& ~ p13(X86) )
| ~ r1(X20,X86) ) ) )
& ( ~ ( p112(X20)
& ~ p113(X20) )
| ( ~ ! [X87] :
( ~ ( p113(X87)
& ~ p114(X87)
& p14(X87) )
| ~ r1(X20,X87) )
& ~ ! [X88] :
( ~ ( p113(X88)
& ~ p114(X88)
& ~ p14(X88) )
| ~ r1(X20,X88) ) ) )
& ( ~ ( p113(X20)
& ~ p114(X20) )
| ( ~ ! [X89] :
( ~ ( p114(X89)
& ~ p115(X89)
& p15(X89) )
| ~ r1(X20,X89) )
& ~ ! [X90] :
( ~ ( p114(X90)
& ~ p115(X90)
& ~ p15(X90) )
| ~ r1(X20,X90) ) ) )
& ( ~ ( p114(X20)
& ~ p115(X20) )
| ( ~ ! [X91] :
( ~ ( p115(X91)
& ~ p116(X91)
& p16(X91) )
| ~ r1(X20,X91) )
& ~ ! [X92] :
( ~ ( p115(X92)
& ~ p116(X92)
& ~ p16(X92) )
| ~ r1(X20,X92) ) ) )
& ( ~ ( p115(X20)
& ~ p116(X20) )
| ( ~ ! [X93] :
( ~ ( p116(X93)
& ~ p117(X93)
& p17(X93) )
| ~ r1(X20,X93) )
& ~ ! [X94] :
( ~ ( p116(X94)
& ~ p117(X94)
& ~ p17(X94) )
| ~ r1(X20,X94) ) ) )
& ( ~ ( p116(X20)
& ~ p117(X20) )
| ( ~ ! [X95] :
( ~ ( p117(X95)
& ~ p118(X95)
& p18(X95) )
| ~ r1(X20,X95) )
& ~ ! [X96] :
( ~ ( p117(X96)
& ~ p118(X96)
& ~ p18(X96) )
| ~ r1(X20,X96) ) ) )
& ( ~ ( p117(X20)
& ~ p118(X20) )
| ( ~ ! [X97] :
( ~ ( p118(X97)
& ~ p119(X97)
& p19(X97) )
| ~ r1(X20,X97) )
& ~ ! [X98] :
( ~ ( p118(X98)
& ~ p119(X98)
& ~ p19(X98) )
| ~ r1(X20,X98) ) ) )
& ( ~ ( p118(X20)
& ~ p119(X20) )
| ( ~ ! [X99] :
( ~ ( p119(X99)
& ~ p120(X99)
& p20(X99) )
| ~ r1(X20,X99) )
& ~ ! [X100] :
( ~ ( p119(X100)
& ~ p120(X100)
& ~ p20(X100) )
| ~ r1(X20,X100) ) ) )
& ( ~ ( p119(X20)
& ~ p120(X20) )
| ( ~ ! [X101] :
( ~ ( p120(X101)
& ~ p121(X101)
& p21(X101) )
| ~ r1(X20,X101) )
& ~ ! [X102] :
( ~ ( p120(X102)
& ~ p121(X102)
& ~ p21(X102) )
| ~ r1(X20,X102) ) ) ) )
| ~ 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(X10,X11) )
| ~ 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) ) )
| ~ ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p121(X20)
| p120(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X63] :
( ~ ( p101(X63)
& ~ p102(X63)
& p2(X63) )
| ~ r1(X20,X63) )
& ~ ! [X64] :
( ~ ( p101(X64)
& ~ p102(X64)
& ~ p2(X64) )
| ~ r1(X20,X64) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X65] :
( ~ ( p102(X65)
& ~ p103(X65)
& p3(X65) )
| ~ r1(X20,X65) )
& ~ ! [X66] :
( ~ ( p102(X66)
& ~ p103(X66)
& ~ p3(X66) )
| ~ r1(X20,X66) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X67] :
( ~ ( p103(X67)
& ~ p104(X67)
& p4(X67) )
| ~ r1(X20,X67) )
& ~ ! [X68] :
( ~ ( p103(X68)
& ~ p104(X68)
& ~ p4(X68) )
| ~ r1(X20,X68) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X69] :
( ~ ( p104(X69)
& ~ p105(X69)
& p5(X69) )
| ~ r1(X20,X69) )
& ~ ! [X70] :
( ~ ( p104(X70)
& ~ p105(X70)
& ~ p5(X70) )
| ~ r1(X20,X70) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& p6(X71) )
| ~ r1(X20,X71) )
& ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& ~ p6(X72) )
| ~ r1(X20,X72) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X73] :
( ~ ( p106(X73)
& ~ p107(X73)
& p7(X73) )
| ~ r1(X20,X73) )
& ~ ! [X74] :
( ~ ( p106(X74)
& ~ p107(X74)
& ~ p7(X74) )
| ~ r1(X20,X74) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X75] :
( ~ ( p107(X75)
& ~ p108(X75)
& p8(X75) )
| ~ r1(X20,X75) )
& ~ ! [X76] :
( ~ ( p107(X76)
& ~ p108(X76)
& ~ p8(X76) )
| ~ r1(X20,X76) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X77] :
( ~ ( p108(X77)
& ~ p109(X77)
& p9(X77) )
| ~ r1(X20,X77) )
& ~ ! [X78] :
( ~ ( p108(X78)
& ~ p109(X78)
& ~ p9(X78) )
| ~ r1(X20,X78) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X79] :
( ~ ( p109(X79)
& ~ p110(X79)
& p10(X79) )
| ~ r1(X20,X79) )
& ~ ! [X80] :
( ~ ( p109(X80)
& ~ p110(X80)
& ~ p10(X80) )
| ~ r1(X20,X80) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X81] :
( ~ ( p110(X81)
& ~ p111(X81)
& p11(X81) )
| ~ r1(X20,X81) )
& ~ ! [X82] :
( ~ ( p110(X82)
& ~ p111(X82)
& ~ p11(X82) )
| ~ r1(X20,X82) ) ) )
& ( ~ ( p110(X20)
& ~ p111(X20) )
| ( ~ ! [X83] :
( ~ ( p111(X83)
& ~ p112(X83)
& p12(X83) )
| ~ r1(X20,X83) )
& ~ ! [X84] :
( ~ ( p111(X84)
& ~ p112(X84)
& ~ p12(X84) )
| ~ r1(X20,X84) ) ) )
& ( ~ ( p111(X20)
& ~ p112(X20) )
| ( ~ ! [X85] :
( ~ ( p112(X85)
& ~ p113(X85)
& p13(X85) )
| ~ r1(X20,X85) )
& ~ ! [X86] :
( ~ ( p112(X86)
& ~ p113(X86)
& ~ p13(X86) )
| ~ r1(X20,X86) ) ) )
& ( ~ ( p112(X20)
& ~ p113(X20) )
| ( ~ ! [X87] :
( ~ ( p113(X87)
& ~ p114(X87)
& p14(X87) )
| ~ r1(X20,X87) )
& ~ ! [X88] :
( ~ ( p113(X88)
& ~ p114(X88)
& ~ p14(X88) )
| ~ r1(X20,X88) ) ) )
& ( ~ ( p113(X20)
& ~ p114(X20) )
| ( ~ ! [X89] :
( ~ ( p114(X89)
& ~ p115(X89)
& p15(X89) )
| ~ r1(X20,X89) )
& ~ ! [X90] :
( ~ ( p114(X90)
& ~ p115(X90)
& ~ p15(X90) )
| ~ r1(X20,X90) ) ) )
& ( ~ ( p114(X20)
& ~ p115(X20) )
| ( ~ ! [X91] :
( ~ ( p115(X91)
& ~ p116(X91)
& p16(X91) )
| ~ r1(X20,X91) )
& ~ ! [X92] :
( ~ ( p115(X92)
& ~ p116(X92)
& ~ p16(X92) )
| ~ r1(X20,X92) ) ) )
& ( ~ ( p115(X20)
& ~ p116(X20) )
| ( ~ ! [X93] :
( ~ ( p116(X93)
& ~ p117(X93)
& p17(X93) )
| ~ r1(X20,X93) )
& ~ ! [X94] :
( ~ ( p116(X94)
& ~ p117(X94)
& ~ p17(X94) )
| ~ r1(X20,X94) ) ) )
& ( ~ ( p116(X20)
& ~ p117(X20) )
| ( ~ ! [X95] :
( ~ ( p117(X95)
& ~ p118(X95)
& p18(X95) )
| ~ r1(X20,X95) )
& ~ ! [X96] :
( ~ ( p117(X96)
& ~ p118(X96)
& ~ p18(X96) )
| ~ r1(X20,X96) ) ) )
& ( ~ ( p117(X20)
& ~ p118(X20) )
| ( ~ ! [X97] :
( ~ ( p118(X97)
& ~ p119(X97)
& p19(X97) )
| ~ r1(X20,X97) )
& ~ ! [X98] :
( ~ ( p118(X98)
& ~ p119(X98)
& ~ p19(X98) )
| ~ r1(X20,X98) ) ) )
& ( ~ ( p118(X20)
& ~ p119(X20) )
| ( ~ ! [X99] :
( ~ ( p119(X99)
& ~ p120(X99)
& p20(X99) )
| ~ r1(X20,X99) )
& ~ ! [X100] :
( ~ ( p119(X100)
& ~ p120(X100)
& ~ p20(X100) )
| ~ r1(X20,X100) ) ) )
& ( ~ ( p119(X20)
& ~ p120(X20) )
| ( ~ ! [X101] :
( ~ ( p120(X101)
& ~ p121(X101)
& p21(X101) )
| ~ r1(X20,X101) )
& ~ ! [X102] :
( ~ ( p120(X102)
& ~ p121(X102)
& ~ p21(X102) )
| ~ r1(X20,X102) ) ) ) )
| ~ 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(X10,X11) )
| ~ 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) ) )
| ~ ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [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) )
& ( ~ p112(X0)
| p111(X0) )
& ( ~ p113(X0)
| p112(X0) )
& ( ~ p114(X0)
| p113(X0) )
& ( ~ p115(X0)
| p114(X0) )
& ( ~ p116(X0)
| p115(X0) )
& ( ~ p117(X0)
| p116(X0) )
& ( ~ p118(X0)
| p117(X0) )
& ( ~ p119(X0)
| p118(X0) )
& ( ~ p120(X0)
| p119(X0) )
& ( ~ p121(X0)
| p120(X0) )
& ( ~ 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) ) ) ) )
& ( ~ p111(X0)
| ( ( ~ p12(X0)
| ! [X1] :
( ~ p111(X1)
| p12(X1)
| ~ r1(X0,X1) ) )
& ( p12(X0)
| ! [X1] :
( ~ p111(X1)
| ~ p12(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p112(X0)
| ( ( ~ p13(X0)
| ! [X1] :
( ~ p112(X1)
| p13(X1)
| ~ r1(X0,X1) ) )
& ( p13(X0)
| ! [X1] :
( ~ p112(X1)
| ~ p13(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p113(X0)
| ( ( ~ p14(X0)
| ! [X1] :
( ~ p113(X1)
| p14(X1)
| ~ r1(X0,X1) ) )
& ( p14(X0)
| ! [X1] :
( ~ p113(X1)
| ~ p14(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p114(X0)
| ( ( ~ p15(X0)
| ! [X1] :
( ~ p114(X1)
| p15(X1)
| ~ r1(X0,X1) ) )
& ( p15(X0)
| ! [X1] :
( ~ p114(X1)
| ~ p15(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p115(X0)
| ( ( ~ p16(X0)
| ! [X1] :
( ~ p115(X1)
| p16(X1)
| ~ r1(X0,X1) ) )
& ( p16(X0)
| ! [X1] :
( ~ p115(X1)
| ~ p16(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p116(X0)
| ( ( ~ p17(X0)
| ! [X1] :
( ~ p116(X1)
| p17(X1)
| ~ r1(X0,X1) ) )
& ( p17(X0)
| ! [X1] :
( ~ p116(X1)
| ~ p17(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p117(X0)
| ( ( ~ p18(X0)
| ! [X1] :
( ~ p117(X1)
| p18(X1)
| ~ r1(X0,X1) ) )
& ( p18(X0)
| ! [X1] :
( ~ p117(X1)
| ~ p18(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p118(X0)
| ( ( ~ p19(X0)
| ! [X1] :
( ~ p118(X1)
| p19(X1)
| ~ r1(X0,X1) ) )
& ( p19(X0)
| ! [X1] :
( ~ p118(X1)
| ~ p19(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p119(X0)
| ( ( ~ p20(X0)
| ! [X1] :
( ~ p119(X1)
| p20(X1)
| ~ r1(X0,X1) ) )
& ( p20(X0)
| ! [X1] :
( ~ p119(X1)
| ~ p20(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p120(X0)
| ( ( ~ p21(X0)
| ! [X1] :
( ~ p120(X1)
| p21(X1)
| ~ r1(X0,X1) ) )
& ( p21(X0)
| ! [X1] :
( ~ p120(X1)
| ~ p21(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) ) ) )
& ( ~ ( p110(X0)
& ~ p111(X0) )
| ( ~ ! [X1] :
( ~ ( p111(X1)
& ~ p112(X1)
& p12(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p111(X1)
& ~ p112(X1)
& ~ p12(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p111(X0)
& ~ p112(X0) )
| ( ~ ! [X1] :
( ~ ( p112(X1)
& ~ p113(X1)
& p13(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p112(X1)
& ~ p113(X1)
& ~ p13(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p112(X0)
& ~ p113(X0) )
| ( ~ ! [X1] :
( ~ ( p113(X1)
& ~ p114(X1)
& p14(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p113(X1)
& ~ p114(X1)
& ~ p14(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p113(X0)
& ~ p114(X0) )
| ( ~ ! [X1] :
( ~ ( p114(X1)
& ~ p115(X1)
& p15(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p114(X1)
& ~ p115(X1)
& ~ p15(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p114(X0)
& ~ p115(X0) )
| ( ~ ! [X1] :
( ~ ( p115(X1)
& ~ p116(X1)
& p16(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p115(X1)
& ~ p116(X1)
& ~ p16(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p115(X0)
& ~ p116(X0) )
| ( ~ ! [X1] :
( ~ ( p116(X1)
& ~ p117(X1)
& p17(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p116(X1)
& ~ p117(X1)
& ~ p17(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p116(X0)
& ~ p117(X0) )
| ( ~ ! [X1] :
( ~ ( p117(X1)
& ~ p118(X1)
& p18(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p117(X1)
& ~ p118(X1)
& ~ p18(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p117(X0)
& ~ p118(X0) )
| ( ~ ! [X1] :
( ~ ( p118(X1)
& ~ p119(X1)
& p19(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p118(X1)
& ~ p119(X1)
& ~ p19(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p118(X0)
& ~ p119(X0) )
| ( ~ ! [X1] :
( ~ ( p119(X1)
& ~ p120(X1)
& p20(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p119(X1)
& ~ p120(X1)
& ~ p20(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p119(X0)
& ~ p120(X0) )
| ( ~ ! [X1] :
( ~ ( p120(X1)
& ~ p121(X1)
& p21(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p120(X1)
& ~ p121(X1)
& ~ p21(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) )
| ~ 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] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p8(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) )
| ~ 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] :
( ! [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) )
& ( ~ p112(X0)
| p111(X0) )
& ( ~ p113(X0)
| p112(X0) )
& ( ~ p114(X0)
| p113(X0) )
& ( ~ p115(X0)
| p114(X0) )
& ( ~ p116(X0)
| p115(X0) )
& ( ~ p117(X0)
| p116(X0) )
& ( ~ p118(X0)
| p117(X0) )
& ( ~ p119(X0)
| p118(X0) )
& ( ~ p120(X0)
| p119(X0) )
& ( ~ p121(X0)
| p120(X0) )
& ( ~ 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) ) ) ) )
& ( ~ p111(X0)
| ( ( ~ p12(X0)
| ! [X1] :
( ~ p111(X1)
| p12(X1)
| ~ r1(X0,X1) ) )
& ( p12(X0)
| ! [X1] :
( ~ p111(X1)
| ~ p12(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p112(X0)
| ( ( ~ p13(X0)
| ! [X1] :
( ~ p112(X1)
| p13(X1)
| ~ r1(X0,X1) ) )
& ( p13(X0)
| ! [X1] :
( ~ p112(X1)
| ~ p13(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p113(X0)
| ( ( ~ p14(X0)
| ! [X1] :
( ~ p113(X1)
| p14(X1)
| ~ r1(X0,X1) ) )
& ( p14(X0)
| ! [X1] :
( ~ p113(X1)
| ~ p14(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p114(X0)
| ( ( ~ p15(X0)
| ! [X1] :
( ~ p114(X1)
| p15(X1)
| ~ r1(X0,X1) ) )
& ( p15(X0)
| ! [X1] :
( ~ p114(X1)
| ~ p15(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p115(X0)
| ( ( ~ p16(X0)
| ! [X1] :
( ~ p115(X1)
| p16(X1)
| ~ r1(X0,X1) ) )
& ( p16(X0)
| ! [X1] :
( ~ p115(X1)
| ~ p16(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p116(X0)
| ( ( ~ p17(X0)
| ! [X1] :
( ~ p116(X1)
| p17(X1)
| ~ r1(X0,X1) ) )
& ( p17(X0)
| ! [X1] :
( ~ p116(X1)
| ~ p17(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p117(X0)
| ( ( ~ p18(X0)
| ! [X1] :
( ~ p117(X1)
| p18(X1)
| ~ r1(X0,X1) ) )
& ( p18(X0)
| ! [X1] :
( ~ p117(X1)
| ~ p18(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p118(X0)
| ( ( ~ p19(X0)
| ! [X1] :
( ~ p118(X1)
| p19(X1)
| ~ r1(X0,X1) ) )
& ( p19(X0)
| ! [X1] :
( ~ p118(X1)
| ~ p19(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p119(X0)
| ( ( ~ p20(X0)
| ! [X1] :
( ~ p119(X1)
| p20(X1)
| ~ r1(X0,X1) ) )
& ( p20(X0)
| ! [X1] :
( ~ p119(X1)
| ~ p20(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p120(X0)
| ( ( ~ p21(X0)
| ! [X1] :
( ~ p120(X1)
| p21(X1)
| ~ r1(X0,X1) ) )
& ( p21(X0)
| ! [X1] :
( ~ p120(X1)
| ~ p21(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) ) ) )
& ( ~ ( p110(X0)
& ~ p111(X0) )
| ( ~ ! [X1] :
( ~ ( p111(X1)
& ~ p112(X1)
& p12(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p111(X1)
& ~ p112(X1)
& ~ p12(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p111(X0)
& ~ p112(X0) )
| ( ~ ! [X1] :
( ~ ( p112(X1)
& ~ p113(X1)
& p13(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p112(X1)
& ~ p113(X1)
& ~ p13(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p112(X0)
& ~ p113(X0) )
| ( ~ ! [X1] :
( ~ ( p113(X1)
& ~ p114(X1)
& p14(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p113(X1)
& ~ p114(X1)
& ~ p14(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p113(X0)
& ~ p114(X0) )
| ( ~ ! [X1] :
( ~ ( p114(X1)
& ~ p115(X1)
& p15(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p114(X1)
& ~ p115(X1)
& ~ p15(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p114(X0)
& ~ p115(X0) )
| ( ~ ! [X1] :
( ~ ( p115(X1)
& ~ p116(X1)
& p16(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p115(X1)
& ~ p116(X1)
& ~ p16(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p115(X0)
& ~ p116(X0) )
| ( ~ ! [X1] :
( ~ ( p116(X1)
& ~ p117(X1)
& p17(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p116(X1)
& ~ p117(X1)
& ~ p17(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p116(X0)
& ~ p117(X0) )
| ( ~ ! [X1] :
( ~ ( p117(X1)
& ~ p118(X1)
& p18(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p117(X1)
& ~ p118(X1)
& ~ p18(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p117(X0)
& ~ p118(X0) )
| ( ~ ! [X1] :
( ~ ( p118(X1)
& ~ p119(X1)
& p19(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p118(X1)
& ~ p119(X1)
& ~ p19(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p118(X0)
& ~ p119(X0) )
| ( ~ ! [X1] :
( ~ ( p119(X1)
& ~ p120(X1)
& p20(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p119(X1)
& ~ p120(X1)
& ~ p20(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p119(X0)
& ~ p120(X0) )
| ( ~ ! [X1] :
( ~ ( p120(X1)
& ~ p121(X1)
& p21(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p120(X1)
& ~ p121(X1)
& ~ p21(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) )
| ~ 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] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p8(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) )
| ~ 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/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f871,plain,
( sP39(sK122)
| ~ p100(sK122) ),
inference(subsumption_resolution,[],[f869,f642]) ).
fof(f642,plain,
~ p101(sK122),
inference(cnf_transformation,[],[f338]) ).
fof(f869,plain,
( p101(sK122)
| sP39(sK122)
| ~ p100(sK122) ),
inference(resolution,[],[f788,f443]) ).
fof(f443,plain,
! [X0] :
( ~ sP59(X0)
| p101(X0)
| sP39(X0)
| ~ p100(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( sP39(X0)
& sP38(X0) )
| ~ sP59(X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X20] :
( ~ p100(X20)
| p101(X20)
| ( sP39(X20)
& sP38(X20) )
| ~ sP59(X20) ),
inference(nnf_transformation,[],[f68]) ).
fof(f788,plain,
sP59(sK122),
inference(resolution,[],[f768,f358]) ).
fof(f358,plain,
! [X0] :
( ~ sP81(X0)
| sP59(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p112(X0)
| p111(X0) )
& ( ~ p113(X0)
| p112(X0) )
& ( ~ p114(X0)
| p113(X0) )
& ( ~ p115(X0)
| p114(X0) )
& ( ~ p116(X0)
| p115(X0) )
& ( ~ p117(X0)
| p116(X0) )
& ( ~ p118(X0)
| p117(X0) )
& ( ~ p119(X0)
| p118(X0) )
& ( ~ p120(X0)
| p119(X0) )
& sP80(X0)
& sP79(X0)
& sP78(X0)
& sP77(X0)
& sP76(X0)
& sP75(X0)
& sP74(X0)
& sP73(X0)
& sP72(X0)
& sP71(X0)
& sP70(X0)
& sP69(X0)
& sP68(X0)
& sP67(X0)
& sP66(X0)
& sP65(X0)
& sP64(X0)
& sP63(X0)
& sP62(X0)
& sP61(X0)
& sP60(X0)
& sP59(X0)
& sP58(X0)
& sP57(X0)
& sP56(X0)
& sP55(X0)
& sP54(X0)
& sP53(X0)
& sP52(X0)
& sP51(X0)
& sP50(X0)
& sP49(X0)
& sP48(X0)
& sP47(X0)
& sP46(X0)
& sP45(X0)
& sP44(X0)
& sP43(X0)
& sP42(X0)
& sP41(X0)
& sP40(X0) )
| ~ sP81(X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& sP80(X20)
& sP79(X20)
& sP78(X20)
& sP77(X20)
& sP76(X20)
& sP75(X20)
& sP74(X20)
& sP73(X20)
& sP72(X20)
& sP71(X20)
& sP70(X20)
& sP69(X20)
& sP68(X20)
& sP67(X20)
& sP66(X20)
& sP65(X20)
& sP64(X20)
& sP63(X20)
& sP62(X20)
& sP61(X20)
& sP60(X20)
& sP59(X20)
& sP58(X20)
& sP57(X20)
& sP56(X20)
& sP55(X20)
& sP54(X20)
& sP53(X20)
& sP52(X20)
& sP51(X20)
& sP50(X20)
& sP49(X20)
& sP48(X20)
& sP47(X20)
& sP46(X20)
& sP45(X20)
& sP44(X20)
& sP43(X20)
& sP42(X20)
& sP41(X20)
& sP40(X20) )
| ~ sP81(X20) ),
inference(nnf_transformation,[],[f90]) ).
fof(f768,plain,
sP81(sK122),
inference(resolution,[],[f767,f644]) ).
fof(f644,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f767,plain,
! [X0] :
( ~ r1(sK122,X0)
| sP81(X0) ),
inference(resolution,[],[f766,f644]) ).
fof(f766,plain,
! [X0,X1] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(sK122,X1) ),
inference(resolution,[],[f765,f644]) ).
fof(f765,plain,
! [X2,X0,X1] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(sK122,X2) ),
inference(resolution,[],[f764,f644]) ).
fof(f764,plain,
! [X2,X3,X0,X1] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK122,X3) ),
inference(resolution,[],[f763,f644]) ).
fof(f763,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK122,X4) ),
inference(resolution,[],[f762,f644]) ).
fof(f762,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK122,X5) ),
inference(resolution,[],[f761,f644]) ).
fof(f761,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK122,X6) ),
inference(resolution,[],[f760,f644]) ).
fof(f760,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(sK122,X7) ),
inference(resolution,[],[f759,f644]) ).
fof(f759,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(sK122,X8) ),
inference(resolution,[],[f758,f644]) ).
fof(f758,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(sK122,X9) ),
inference(resolution,[],[f757,f644]) ).
fof(f757,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(sK122,X10) ),
inference(resolution,[],[f756,f644]) ).
fof(f756,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(sK122,X11) ),
inference(resolution,[],[f755,f644]) ).
fof(f755,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(sK122,X12) ),
inference(resolution,[],[f754,f644]) ).
fof(f754,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(sK122,X13) ),
inference(resolution,[],[f753,f644]) ).
fof(f753,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(sK122,X14) ),
inference(resolution,[],[f752,f644]) ).
fof(f752,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK122,X15) ),
inference(resolution,[],[f751,f644]) ).
fof(f751,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(sK122,X16) ),
inference(resolution,[],[f750,f644]) ).
fof(f750,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(sK122,X17) ),
inference(resolution,[],[f741,f644]) ).
fof(f741,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ r1(X1,X0)
| sP81(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK122,X18) ),
inference(resolution,[],[f641,f644]) ).
fof(f641,plain,
! [X2,X3,X10,X11,X18,X8,X19,X9,X16,X14,X7,X6,X4,X1,X17,X15,X5,X12,X13,X20] :
( ~ r1(X19,X20)
| sP81(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(X10,X11)
| ~ 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(sK122,X1) ),
inference(cnf_transformation,[],[f338]) ).
fof(f26944,plain,
~ r1(sK122,sK82(sK122)),
inference(resolution,[],[f26942,f1113]) ).
fof(f1113,plain,
r1(sK82(sK122),sK84(sK82(sK122))),
inference(resolution,[],[f1108,f490]) ).
fof(f490,plain,
! [X0] :
( ~ sP37(X0)
| r1(X0,sK84(X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( p102(sK84(X0))
& ~ p103(sK84(X0))
& p3(sK84(X0))
& r1(X0,sK84(X0)) )
| ~ sP37(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84])],[f185,f186]) ).
fof(f186,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK84(X0))
& ~ p103(sK84(X0))
& p3(sK84(X0))
& r1(X0,sK84(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
| ~ sP37(X0) ),
inference(rectify,[],[f184]) ).
fof(f184,plain,
! [X20] :
( ? [X65] :
( p102(X65)
& ~ p103(X65)
& p3(X65)
& r1(X20,X65) )
| ~ sP37(X20) ),
inference(nnf_transformation,[],[f46]) ).
fof(f1108,plain,
sP37(sK82(sK122)),
inference(subsumption_resolution,[],[f1107,f876]) ).
fof(f876,plain,
p101(sK82(sK122)),
inference(resolution,[],[f872,f485]) ).
fof(f485,plain,
! [X0] :
( ~ sP39(X0)
| p101(sK82(X0)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f1107,plain,
( sP37(sK82(sK122))
| ~ p101(sK82(sK122)) ),
inference(subsumption_resolution,[],[f1105,f877]) ).
fof(f877,plain,
~ p102(sK82(sK122)),
inference(resolution,[],[f872,f484]) ).
fof(f484,plain,
! [X0] :
( ~ sP39(X0)
| ~ p102(sK82(X0)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f1105,plain,
( p102(sK82(sK122))
| sP37(sK82(sK122))
| ~ p101(sK82(sK122)) ),
inference(resolution,[],[f1024,f445]) ).
fof(f445,plain,
! [X0] :
( ~ sP58(X0)
| p102(X0)
| sP37(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( sP37(X0)
& sP36(X0) )
| ~ sP58(X0) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X20] :
( ~ p101(X20)
| p102(X20)
| ( sP37(X20)
& sP36(X20) )
| ~ sP58(X20) ),
inference(nnf_transformation,[],[f67]) ).
fof(f1024,plain,
sP58(sK82(sK122)),
inference(resolution,[],[f884,f357]) ).
fof(f357,plain,
! [X0] :
( ~ sP81(X0)
| sP58(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f884,plain,
sP81(sK82(sK122)),
inference(resolution,[],[f875,f767]) ).
fof(f26942,plain,
! [X0] :
( ~ r1(X0,sK84(sK82(sK122)))
| ~ r1(sK122,X0) ),
inference(resolution,[],[f26940,f1591]) ).
fof(f1591,plain,
r1(sK84(sK82(sK122)),sK86(sK84(sK82(sK122)))),
inference(resolution,[],[f1583,f498]) ).
fof(f498,plain,
! [X0] :
( ~ sP35(X0)
| r1(X0,sK86(X0)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( p103(sK86(X0))
& ~ p104(sK86(X0))
& p4(sK86(X0))
& r1(X0,sK86(X0)) )
| ~ sP35(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK86])],[f193,f194]) ).
fof(f194,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
=> ( p103(sK86(X0))
& ~ p104(sK86(X0))
& p4(sK86(X0))
& r1(X0,sK86(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
| ~ sP35(X0) ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
! [X20] :
( ? [X67] :
( p103(X67)
& ~ p104(X67)
& p4(X67)
& r1(X20,X67) )
| ~ sP35(X20) ),
inference(nnf_transformation,[],[f44]) ).
fof(f1583,plain,
sP35(sK84(sK82(sK122))),
inference(subsumption_resolution,[],[f1582,f1114]) ).
fof(f1114,plain,
p102(sK84(sK82(sK122))),
inference(resolution,[],[f1108,f493]) ).
fof(f493,plain,
! [X0] :
( ~ sP37(X0)
| p102(sK84(X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1582,plain,
( sP35(sK84(sK82(sK122)))
| ~ p102(sK84(sK82(sK122))) ),
inference(subsumption_resolution,[],[f1580,f1115]) ).
fof(f1115,plain,
~ p103(sK84(sK82(sK122))),
inference(resolution,[],[f1108,f492]) ).
fof(f492,plain,
! [X0] :
( ~ sP37(X0)
| ~ p103(sK84(X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1580,plain,
( p103(sK84(sK82(sK122)))
| sP35(sK84(sK82(sK122)))
| ~ p102(sK84(sK82(sK122))) ),
inference(resolution,[],[f1500,f447]) ).
fof(f447,plain,
! [X0] :
( ~ sP57(X0)
| p103(X0)
| sP35(X0)
| ~ p102(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( sP35(X0)
& sP34(X0) )
| ~ sP57(X0) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X20] :
( ~ p102(X20)
| p103(X20)
| ( sP35(X20)
& sP34(X20) )
| ~ sP57(X20) ),
inference(nnf_transformation,[],[f66]) ).
fof(f1500,plain,
sP57(sK84(sK82(sK122))),
inference(resolution,[],[f1482,f356]) ).
fof(f356,plain,
! [X0] :
( ~ sP81(X0)
| sP57(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f1482,plain,
sP81(sK84(sK82(sK122))),
inference(subsumption_resolution,[],[f1441,f875]) ).
fof(f1441,plain,
( sP81(sK84(sK82(sK122)))
| ~ r1(sK122,sK82(sK122)) ),
inference(resolution,[],[f1113,f766]) ).
fof(f26940,plain,
! [X0,X1] :
( ~ r1(X0,sK86(sK84(sK82(sK122))))
| ~ r1(X1,X0)
| ~ r1(sK122,X1) ),
inference(resolution,[],[f26938,f3402]) ).
fof(f3402,plain,
r1(sK86(sK84(sK82(sK122))),sK88(sK86(sK84(sK82(sK122))))),
inference(resolution,[],[f3392,f506]) ).
fof(f506,plain,
! [X0] :
( ~ sP33(X0)
| r1(X0,sK88(X0)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ( p104(sK88(X0))
& ~ p105(sK88(X0))
& p5(sK88(X0))
& r1(X0,sK88(X0)) )
| ~ sP33(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK88])],[f201,f202]) ).
fof(f202,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
=> ( p104(sK88(X0))
& ~ p105(sK88(X0))
& p5(sK88(X0))
& r1(X0,sK88(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
| ~ sP33(X0) ),
inference(rectify,[],[f200]) ).
fof(f200,plain,
! [X20] :
( ? [X69] :
( p104(X69)
& ~ p105(X69)
& p5(X69)
& r1(X20,X69) )
| ~ sP33(X20) ),
inference(nnf_transformation,[],[f42]) ).
fof(f3392,plain,
sP33(sK86(sK84(sK82(sK122)))),
inference(subsumption_resolution,[],[f3391,f1592]) ).
fof(f1592,plain,
p103(sK86(sK84(sK82(sK122)))),
inference(resolution,[],[f1583,f501]) ).
fof(f501,plain,
! [X0] :
( ~ sP35(X0)
| p103(sK86(X0)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f3391,plain,
( sP33(sK86(sK84(sK82(sK122))))
| ~ p103(sK86(sK84(sK82(sK122)))) ),
inference(subsumption_resolution,[],[f3389,f1593]) ).
fof(f1593,plain,
~ p104(sK86(sK84(sK82(sK122)))),
inference(resolution,[],[f1583,f500]) ).
fof(f500,plain,
! [X0] :
( ~ sP35(X0)
| ~ p104(sK86(X0)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f3389,plain,
( p104(sK86(sK84(sK82(sK122))))
| sP33(sK86(sK84(sK82(sK122))))
| ~ p103(sK86(sK84(sK82(sK122)))) ),
inference(resolution,[],[f3310,f449]) ).
fof(f449,plain,
! [X0] :
( ~ sP56(X0)
| p104(X0)
| sP33(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( sP33(X0)
& sP32(X0) )
| ~ sP56(X0) ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
! [X20] :
( ~ p103(X20)
| p104(X20)
| ( sP33(X20)
& sP32(X20) )
| ~ sP56(X20) ),
inference(nnf_transformation,[],[f65]) ).
fof(f3310,plain,
sP56(sK86(sK84(sK82(sK122)))),
inference(resolution,[],[f3293,f355]) ).
fof(f355,plain,
! [X0] :
( ~ sP81(X0)
| sP56(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f3293,plain,
sP81(sK86(sK84(sK82(sK122)))),
inference(subsumption_resolution,[],[f3292,f875]) ).
fof(f3292,plain,
( sP81(sK86(sK84(sK82(sK122))))
| ~ r1(sK122,sK82(sK122)) ),
inference(resolution,[],[f2398,f1113]) ).
fof(f2398,plain,
! [X0] :
( ~ r1(X0,sK84(sK82(sK122)))
| sP81(sK86(sK84(sK82(sK122))))
| ~ r1(sK122,X0) ),
inference(resolution,[],[f1591,f765]) ).
fof(f26938,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK88(sK86(sK84(sK82(sK122)))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(sK122,X2) ),
inference(resolution,[],[f26936,f6406]) ).
fof(f6406,plain,
r1(sK88(sK86(sK84(sK82(sK122)))),sK90(sK88(sK86(sK84(sK82(sK122)))))),
inference(resolution,[],[f6394,f514]) ).
fof(f514,plain,
! [X0] :
( ~ sP31(X0)
| r1(X0,sK90(X0)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ( p105(sK90(X0))
& ~ p106(sK90(X0))
& p6(sK90(X0))
& r1(X0,sK90(X0)) )
| ~ sP31(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90])],[f209,f210]) ).
fof(f210,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& ~ p106(X1)
& p6(X1)
& r1(X0,X1) )
=> ( p105(sK90(X0))
& ~ p106(sK90(X0))
& p6(sK90(X0))
& r1(X0,sK90(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& ~ p106(X1)
& p6(X1)
& r1(X0,X1) )
| ~ sP31(X0) ),
inference(rectify,[],[f208]) ).
fof(f208,plain,
! [X20] :
( ? [X71] :
( p105(X71)
& ~ p106(X71)
& p6(X71)
& r1(X20,X71) )
| ~ sP31(X20) ),
inference(nnf_transformation,[],[f40]) ).
fof(f6394,plain,
sP31(sK88(sK86(sK84(sK82(sK122))))),
inference(subsumption_resolution,[],[f6393,f3403]) ).
fof(f3403,plain,
p104(sK88(sK86(sK84(sK82(sK122))))),
inference(resolution,[],[f3392,f509]) ).
fof(f509,plain,
! [X0] :
( ~ sP33(X0)
| p104(sK88(X0)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f6393,plain,
( sP31(sK88(sK86(sK84(sK82(sK122)))))
| ~ p104(sK88(sK86(sK84(sK82(sK122))))) ),
inference(subsumption_resolution,[],[f6391,f3404]) ).
fof(f3404,plain,
~ p105(sK88(sK86(sK84(sK82(sK122))))),
inference(resolution,[],[f3392,f508]) ).
fof(f508,plain,
! [X0] :
( ~ sP33(X0)
| ~ p105(sK88(X0)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f6391,plain,
( p105(sK88(sK86(sK84(sK82(sK122)))))
| sP31(sK88(sK86(sK84(sK82(sK122)))))
| ~ p104(sK88(sK86(sK84(sK82(sK122))))) ),
inference(resolution,[],[f6313,f451]) ).
fof(f451,plain,
! [X0] :
( ~ sP55(X0)
| p105(X0)
| sP31(X0)
| ~ p104(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| ( sP31(X0)
& sP30(X0) )
| ~ sP55(X0) ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
! [X20] :
( ~ p104(X20)
| p105(X20)
| ( sP31(X20)
& sP30(X20) )
| ~ sP55(X20) ),
inference(nnf_transformation,[],[f64]) ).
fof(f6313,plain,
sP55(sK88(sK86(sK84(sK82(sK122))))),
inference(resolution,[],[f6297,f354]) ).
fof(f354,plain,
! [X0] :
( ~ sP81(X0)
| sP55(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f6297,plain,
sP81(sK88(sK86(sK84(sK82(sK122))))),
inference(subsumption_resolution,[],[f6296,f875]) ).
fof(f6296,plain,
( sP81(sK88(sK86(sK84(sK82(sK122)))))
| ~ r1(sK122,sK82(sK122)) ),
inference(resolution,[],[f6294,f1113]) ).
fof(f6294,plain,
! [X0] :
( ~ r1(X0,sK84(sK82(sK122)))
| sP81(sK88(sK86(sK84(sK82(sK122)))))
| ~ r1(sK122,X0) ),
inference(resolution,[],[f3491,f1591]) ).
fof(f3491,plain,
! [X0,X1] :
( ~ r1(X0,sK86(sK84(sK82(sK122))))
| sP81(sK88(sK86(sK84(sK82(sK122)))))
| ~ r1(X1,X0)
| ~ r1(sK122,X1) ),
inference(resolution,[],[f3402,f764]) ).
fof(f26936,plain,
! [X2,X3,X0,X1] :
( ~ r1(X0,sK90(sK88(sK86(sK84(sK82(sK122))))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK122,X3) ),
inference(resolution,[],[f26909,f12802]) ).
fof(f12802,plain,
r1(sK90(sK88(sK86(sK84(sK82(sK122))))),sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
inference(resolution,[],[f12788,f522]) ).
fof(f522,plain,
! [X0] :
( ~ sP29(X0)
| r1(X0,sK92(X0)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ( p106(sK92(X0))
& ~ p107(sK92(X0))
& p7(sK92(X0))
& r1(X0,sK92(X0)) )
| ~ sP29(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92])],[f217,f218]) ).
fof(f218,plain,
! [X0] :
( ? [X1] :
( p106(X1)
& ~ p107(X1)
& p7(X1)
& r1(X0,X1) )
=> ( p106(sK92(X0))
& ~ p107(sK92(X0))
& p7(sK92(X0))
& r1(X0,sK92(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0] :
( ? [X1] :
( p106(X1)
& ~ p107(X1)
& p7(X1)
& r1(X0,X1) )
| ~ sP29(X0) ),
inference(rectify,[],[f216]) ).
fof(f216,plain,
! [X20] :
( ? [X73] :
( p106(X73)
& ~ p107(X73)
& p7(X73)
& r1(X20,X73) )
| ~ sP29(X20) ),
inference(nnf_transformation,[],[f38]) ).
fof(f12788,plain,
sP29(sK90(sK88(sK86(sK84(sK82(sK122)))))),
inference(subsumption_resolution,[],[f12787,f6407]) ).
fof(f6407,plain,
p105(sK90(sK88(sK86(sK84(sK82(sK122)))))),
inference(resolution,[],[f6394,f517]) ).
fof(f517,plain,
! [X0] :
( ~ sP31(X0)
| p105(sK90(X0)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f12787,plain,
( sP29(sK90(sK88(sK86(sK84(sK82(sK122))))))
| ~ p105(sK90(sK88(sK86(sK84(sK82(sK122)))))) ),
inference(subsumption_resolution,[],[f12785,f6408]) ).
fof(f6408,plain,
~ p106(sK90(sK88(sK86(sK84(sK82(sK122)))))),
inference(resolution,[],[f6394,f516]) ).
fof(f516,plain,
! [X0] :
( ~ sP31(X0)
| ~ p106(sK90(X0)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f12785,plain,
( p106(sK90(sK88(sK86(sK84(sK82(sK122))))))
| sP29(sK90(sK88(sK86(sK84(sK82(sK122))))))
| ~ p105(sK90(sK88(sK86(sK84(sK82(sK122)))))) ),
inference(resolution,[],[f12708,f453]) ).
fof(f453,plain,
! [X0] :
( ~ sP54(X0)
| p106(X0)
| sP29(X0)
| ~ p105(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| ( sP29(X0)
& sP28(X0) )
| ~ sP54(X0) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X20] :
( ~ p105(X20)
| p106(X20)
| ( sP29(X20)
& sP28(X20) )
| ~ sP54(X20) ),
inference(nnf_transformation,[],[f63]) ).
fof(f12708,plain,
sP54(sK90(sK88(sK86(sK84(sK82(sK122)))))),
inference(resolution,[],[f12693,f353]) ).
fof(f353,plain,
! [X0] :
( ~ sP81(X0)
| sP54(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f12693,plain,
sP81(sK90(sK88(sK86(sK84(sK82(sK122)))))),
inference(subsumption_resolution,[],[f12692,f875]) ).
fof(f12692,plain,
( sP81(sK90(sK88(sK86(sK84(sK82(sK122))))))
| ~ r1(sK122,sK82(sK122)) ),
inference(resolution,[],[f12690,f1113]) ).
fof(f12690,plain,
! [X0] :
( ~ r1(X0,sK84(sK82(sK122)))
| sP81(sK90(sK88(sK86(sK84(sK82(sK122))))))
| ~ r1(sK122,X0) ),
inference(resolution,[],[f12688,f1591]) ).
fof(f12688,plain,
! [X0,X1] :
( ~ r1(X0,sK86(sK84(sK82(sK122))))
| sP81(sK90(sK88(sK86(sK84(sK82(sK122))))))
| ~ r1(X1,X0)
| ~ r1(sK122,X1) ),
inference(resolution,[],[f6496,f3402]) ).
fof(f6496,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK88(sK86(sK84(sK82(sK122)))))
| sP81(sK90(sK88(sK86(sK84(sK82(sK122))))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(sK122,X2) ),
inference(resolution,[],[f6406,f763]) ).
fof(f26909,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X0,sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK122,X4) ),
inference(subsumption_resolution,[],[f26829,f26637]) ).
fof(f26637,plain,
~ p8(sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))),
inference(resolution,[],[f26616,f535]) ).
fof(f535,plain,
! [X0] :
( ~ sP26(X0)
| ~ p8(sK95(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ( p107(sK95(X0))
& ~ p108(sK95(X0))
& ~ p8(sK95(X0))
& r1(X0,sK95(X0)) )
| ~ sP26(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95])],[f229,f230]) ).
fof(f230,plain,
! [X0] :
( ? [X1] :
( p107(X1)
& ~ p108(X1)
& ~ p8(X1)
& r1(X0,X1) )
=> ( p107(sK95(X0))
& ~ p108(sK95(X0))
& ~ p8(sK95(X0))
& r1(X0,sK95(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0] :
( ? [X1] :
( p107(X1)
& ~ p108(X1)
& ~ p8(X1)
& r1(X0,X1) )
| ~ sP26(X0) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X20] :
( ? [X76] :
( p107(X76)
& ~ p108(X76)
& ~ p8(X76)
& r1(X20,X76) )
| ~ sP26(X20) ),
inference(nnf_transformation,[],[f35]) ).
fof(f26616,plain,
sP26(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
inference(subsumption_resolution,[],[f26615,f12803]) ).
fof(f12803,plain,
p106(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
inference(resolution,[],[f12788,f525]) ).
fof(f525,plain,
! [X0] :
( ~ sP29(X0)
| p106(sK92(X0)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f26615,plain,
( sP26(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ p106(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))) ),
inference(subsumption_resolution,[],[f26612,f12804]) ).
fof(f12804,plain,
~ p107(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
inference(resolution,[],[f12788,f524]) ).
fof(f524,plain,
! [X0] :
( ~ sP29(X0)
| ~ p107(sK92(X0)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f26612,plain,
( p107(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| sP26(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ p106(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))) ),
inference(resolution,[],[f26535,f454]) ).
fof(f454,plain,
! [X0] :
( ~ sP53(X0)
| p107(X0)
| sP26(X0)
| ~ p106(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ~ p106(X0)
| p107(X0)
| ( sP27(X0)
& sP26(X0) )
| ~ sP53(X0) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X20] :
( ~ p106(X20)
| p107(X20)
| ( sP27(X20)
& sP26(X20) )
| ~ sP53(X20) ),
inference(nnf_transformation,[],[f62]) ).
fof(f26535,plain,
sP53(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
inference(resolution,[],[f26521,f352]) ).
fof(f352,plain,
! [X0] :
( ~ sP81(X0)
| sP53(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f26521,plain,
sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
inference(subsumption_resolution,[],[f26520,f875]) ).
fof(f26520,plain,
( sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ r1(sK122,sK82(sK122)) ),
inference(resolution,[],[f26518,f1113]) ).
fof(f26518,plain,
! [X0] :
( ~ r1(X0,sK84(sK82(sK122)))
| sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ r1(sK122,X0) ),
inference(resolution,[],[f26516,f1591]) ).
fof(f26516,plain,
! [X0,X1] :
( ~ r1(X0,sK86(sK84(sK82(sK122))))
| sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ r1(X1,X0)
| ~ r1(sK122,X1) ),
inference(resolution,[],[f26514,f3402]) ).
fof(f26514,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK88(sK86(sK84(sK82(sK122)))))
| sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(sK122,X2) ),
inference(resolution,[],[f12893,f6406]) ).
fof(f12893,plain,
! [X2,X3,X0,X1] :
( ~ r1(X0,sK90(sK88(sK86(sK84(sK82(sK122))))))
| sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK122,X3) ),
inference(resolution,[],[f12802,f762]) ).
fof(f26829,plain,
! [X2,X3,X0,X1,X4] :
( p8(sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))))
| ~ r1(X0,sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK122,X4) ),
inference(resolution,[],[f26634,f742]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK122,X6) ),
inference(resolution,[],[f740,f644]) ).
fof(f740,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(sK122,X7) ),
inference(resolution,[],[f739,f644]) ).
fof(f739,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(sK122,X8) ),
inference(resolution,[],[f738,f644]) ).
fof(f738,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(sK122,X9) ),
inference(resolution,[],[f737,f644]) ).
fof(f737,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(sK122,X10) ),
inference(resolution,[],[f736,f644]) ).
fof(f736,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(sK122,X11) ),
inference(resolution,[],[f735,f644]) ).
fof(f735,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(sK122,X12) ),
inference(resolution,[],[f734,f644]) ).
fof(f734,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(sK122,X13) ),
inference(resolution,[],[f733,f644]) ).
fof(f733,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(sK122,X14) ),
inference(resolution,[],[f732,f644]) ).
fof(f732,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK122,X15) ),
inference(resolution,[],[f731,f644]) ).
fof(f731,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(sK122,X16) ),
inference(resolution,[],[f730,f644]) ).
fof(f730,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(sK122,X17) ),
inference(resolution,[],[f729,f644]) ).
fof(f729,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ r1(X1,X0)
| p8(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK122,X18) ),
inference(resolution,[],[f640,f644]) ).
fof(f640,plain,
! [X22,X40,X38,X31,X39,X29,X36,X28,X21,X37,X26,X27,X34,X24,X35,X25,X32,X30,X33,X23] :
( ~ r1(X39,X40)
| p8(X40)
| ~ r1(X38,X39)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| ~ r1(X34,X35)
| ~ r1(X33,X34)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(sK122,X21) ),
inference(cnf_transformation,[],[f338]) ).
fof(f26634,plain,
r1(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))),sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))),
inference(resolution,[],[f26616,f534]) ).
fof(f534,plain,
! [X0] :
( ~ sP26(X0)
| r1(X0,sK95(X0)) ),
inference(cnf_transformation,[],[f231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LCL656+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 22:47:10 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (11889)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (11893)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 % (11895)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (11894)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (11890)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (11896)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)
% 0.15/0.33 % (11892)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)
% 0.15/0.33 % (11891)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.35 TRYING [3]
% 0.15/0.35 TRYING [4]
% 0.15/0.35 TRYING [3]
% 0.15/0.35 TRYING [4]
% 0.15/0.35 TRYING [4]
% 0.15/0.35 TRYING [4]
% 0.15/0.36 TRYING [5]
% 0.15/0.36 TRYING [5]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 TRYING [6]
% 0.15/0.39 TRYING [6]
% 0.15/0.39 TRYING [6]
% 0.15/0.39 TRYING [6]
% 0.15/0.40 TRYING [7]
% 0.15/0.42 TRYING [7]
% 0.15/0.43 TRYING [7]
% 0.15/0.43 TRYING [7]
% 0.15/0.44 TRYING [8]
% 0.15/0.51 TRYING [8]
% 0.15/0.51 TRYING [8]
% 0.15/0.52 TRYING [8]
% 0.15/0.52 TRYING [9]
% 3.22/0.78 TRYING [10]
% 4.56/0.98 TRYING [9]
% 4.56/1.00 TRYING [9]
% 5.05/1.05 TRYING [9]
% 14.44/2.39 TRYING [11]
% 19.85/3.14 % (11894)First to succeed.
% 19.85/3.16 % (11894)Refutation found. Thanks to Tanya!
% 19.85/3.16 % SZS status Theorem for theBenchmark
% 19.85/3.16 % SZS output start Proof for theBenchmark
% See solution above
% 19.85/3.16 % (11894)------------------------------
% 19.85/3.16 % (11894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 19.85/3.16 % (11894)Termination reason: Refutation
% 19.85/3.16
% 19.85/3.16 % (11894)Memory used [KB]: 11558
% 19.85/3.16 % (11894)Time elapsed: 2.826 s
% 19.85/3.16 % (11894)Instructions burned: 7661 (million)
% 19.85/3.16 % (11894)------------------------------
% 19.85/3.16 % (11894)------------------------------
% 19.85/3.16 % (11889)Success in time 2.822 s
% 19.85/3.16 11893 Aborted by signal SIGHUP on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.85/3.16 % (11893)------------------------------
% 19.85/3.16 % (11893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 19.85/3.16 % (11893)Termination reason: Unknown
% 19.85/3.16 % (11893)Termination phase: Finite model building SAT solving
% 19.85/3.16
% 19.85/3.16 % (11893)Memory used [KB]: 3424
% 19.85/3.16 % (11893)Time elapsed: 2.829 s
% 19.85/3.16 % (11893)Instructions burned: 7229 (million)
% 19.85/3.16 % (11893)------------------------------
% 19.85/3.16 % (11893)------------------------------
% 19.85/3.16 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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%------------------------------------------------------------------------------