TSTP Solution File: LCL686+1.020 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL686+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:48:56 EDT 2024
% Result : Theorem 0.11s 0.38s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 125
% Syntax : Number of formulae : 163 ( 10 unt; 0 def)
% Number of atoms : 5644 ( 0 equ)
% Maximal formula atoms : 590 ( 34 avg)
% Number of connectives : 9187 (3706 ~;3104 |;2372 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 192 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 180 ( 179 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 1026 ( 874 !; 152 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1966,plain,
$false,
inference(subsumption_resolution,[],[f1964,f1875]) ).
fof(f1875,plain,
p1(sK119(sK179)),
inference(subsumption_resolution,[],[f1874,f1785]) ).
fof(f1785,plain,
( p2(sK119(sK179))
| p1(sK119(sK179)) ),
inference(resolution,[],[f614,f913]) ).
fof(f913,plain,
sP114(sK179),
inference(resolution,[],[f494,f909]) ).
fof(f909,plain,
sP117(sK179),
inference(resolution,[],[f907,f906]) ).
fof(f906,plain,
! [X2] :
( ~ r1(sK179,X2)
| sP117(X2) ),
inference(cnf_transformation,[],[f490]) ).
fof(f490,plain,
( ! [X2] :
( sP117(X2)
| ~ r1(sK179,X2) )
& r1(sK178,sK179)
& p1(sK181)
& r1(sK180,sK181)
& p60(sK180)
& r1(sK178,sK180) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK178,sK179,sK180,sK181])],[f485,f489,f488,f487,f486]) ).
fof(f486,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( sP117(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
& ? [X3] :
( ? [X4] :
( p1(X4)
& r1(X3,X4) )
& p60(X3)
& r1(X0,X3) ) )
=> ( ? [X1] :
( ! [X2] :
( sP117(X2)
| ~ r1(X1,X2) )
& r1(sK178,X1) )
& ? [X3] :
( ? [X4] :
( p1(X4)
& r1(X3,X4) )
& p60(X3)
& r1(sK178,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f487,plain,
( ? [X1] :
( ! [X2] :
( sP117(X2)
| ~ r1(X1,X2) )
& r1(sK178,X1) )
=> ( ! [X2] :
( sP117(X2)
| ~ r1(sK179,X2) )
& r1(sK178,sK179) ) ),
introduced(choice_axiom,[]) ).
fof(f488,plain,
( ? [X3] :
( ? [X4] :
( p1(X4)
& r1(X3,X4) )
& p60(X3)
& r1(sK178,X3) )
=> ( ? [X4] :
( p1(X4)
& r1(sK180,X4) )
& p60(sK180)
& r1(sK178,sK180) ) ),
introduced(choice_axiom,[]) ).
fof(f489,plain,
( ? [X4] :
( p1(X4)
& r1(sK180,X4) )
=> ( p1(sK181)
& r1(sK180,sK181) ) ),
introduced(choice_axiom,[]) ).
fof(f485,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( sP117(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
& ? [X3] :
( ? [X4] :
( p1(X4)
& r1(X3,X4) )
& p60(X3)
& r1(X0,X3) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( sP117(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
& ? [X121] :
( ? [X122] :
( p1(X122)
& r1(X121,X122) )
& p60(X121)
& r1(X0,X121) ) ),
inference(definition_folding,[],[f8,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,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]) ).
fof(f11,plain,
! [X118] :
( ! [X119] :
( ( ( ~ p58(X119)
| p59(X119) )
& ( p58(X119)
| ~ p59(X119) ) )
| ~ r1(X118,X119) )
| ~ sP0(X118) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
! [X116] :
( ? [X118] :
( sP0(X118)
& ? [X120] : r1(X118,X120)
& r1(X116,X118) )
| ~ sP1(X116) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f13,plain,
! [X116] :
( ! [X117] :
( ( ( ~ p57(X117)
| p58(X117) )
& ( p57(X117)
| ~ p58(X117) ) )
| ~ r1(X116,X117) )
| ~ sP2(X116) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X114] :
( ? [X116] :
( sP2(X116)
& sP1(X116)
& r1(X114,X116) )
| ~ sP3(X114) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f15,plain,
! [X114] :
( ! [X115] :
( ( ( ~ p56(X115)
| p57(X115) )
& ( p56(X115)
| ~ p57(X115) ) )
| ~ r1(X114,X115) )
| ~ sP4(X114) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f16,plain,
! [X112] :
( ? [X114] :
( sP4(X114)
& sP3(X114)
& r1(X112,X114) )
| ~ sP5(X112) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f17,plain,
! [X112] :
( ! [X113] :
( ( ( ~ p55(X113)
| p56(X113) )
& ( p55(X113)
| ~ p56(X113) ) )
| ~ r1(X112,X113) )
| ~ sP6(X112) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
! [X110] :
( ? [X112] :
( sP6(X112)
& sP5(X112)
& r1(X110,X112) )
| ~ sP7(X110) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f19,plain,
! [X110] :
( ! [X111] :
( ( ( ~ p54(X111)
| p55(X111) )
& ( p54(X111)
| ~ p55(X111) ) )
| ~ r1(X110,X111) )
| ~ sP8(X110) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f20,plain,
! [X108] :
( ? [X110] :
( sP8(X110)
& sP7(X110)
& r1(X108,X110) )
| ~ sP9(X108) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f21,plain,
! [X108] :
( ! [X109] :
( ( ( ~ p53(X109)
| p54(X109) )
& ( p53(X109)
| ~ p54(X109) ) )
| ~ r1(X108,X109) )
| ~ sP10(X108) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f22,plain,
! [X106] :
( ? [X108] :
( sP10(X108)
& sP9(X108)
& r1(X106,X108) )
| ~ sP11(X106) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f23,plain,
! [X106] :
( ! [X107] :
( ( ( ~ p52(X107)
| p53(X107) )
& ( p52(X107)
| ~ p53(X107) ) )
| ~ r1(X106,X107) )
| ~ sP12(X106) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f24,plain,
! [X104] :
( ? [X106] :
( sP12(X106)
& sP11(X106)
& r1(X104,X106) )
| ~ sP13(X104) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f25,plain,
! [X104] :
( ! [X105] :
( ( ( ~ p51(X105)
| p52(X105) )
& ( p51(X105)
| ~ p52(X105) ) )
| ~ r1(X104,X105) )
| ~ sP14(X104) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f26,plain,
! [X102] :
( ? [X104] :
( sP14(X104)
& sP13(X104)
& r1(X102,X104) )
| ~ sP15(X102) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f27,plain,
! [X102] :
( ! [X103] :
( ( ( ~ p50(X103)
| p51(X103) )
& ( p50(X103)
| ~ p51(X103) ) )
| ~ r1(X102,X103) )
| ~ sP16(X102) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f28,plain,
! [X100] :
( ? [X102] :
( sP16(X102)
& sP15(X102)
& r1(X100,X102) )
| ~ sP17(X100) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f29,plain,
! [X100] :
( ! [X101] :
( ( ( ~ p49(X101)
| p50(X101) )
& ( p49(X101)
| ~ p50(X101) ) )
| ~ r1(X100,X101) )
| ~ sP18(X100) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f30,plain,
! [X98] :
( ? [X100] :
( sP18(X100)
& sP17(X100)
& r1(X98,X100) )
| ~ sP19(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f31,plain,
! [X98] :
( ! [X99] :
( ( ( ~ p48(X99)
| p49(X99) )
& ( p48(X99)
| ~ p49(X99) ) )
| ~ r1(X98,X99) )
| ~ sP20(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f32,plain,
! [X96] :
( ? [X98] :
( sP20(X98)
& sP19(X98)
& r1(X96,X98) )
| ~ sP21(X96) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f33,plain,
! [X96] :
( ! [X97] :
( ( ( ~ p47(X97)
| p48(X97) )
& ( p47(X97)
| ~ p48(X97) ) )
| ~ r1(X96,X97) )
| ~ sP22(X96) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f34,plain,
! [X94] :
( ? [X96] :
( sP22(X96)
& sP21(X96)
& r1(X94,X96) )
| ~ sP23(X94) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f35,plain,
! [X94] :
( ! [X95] :
( ( ( ~ p46(X95)
| p47(X95) )
& ( p46(X95)
| ~ p47(X95) ) )
| ~ r1(X94,X95) )
| ~ sP24(X94) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f36,plain,
! [X92] :
( ? [X94] :
( sP24(X94)
& sP23(X94)
& r1(X92,X94) )
| ~ sP25(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f37,plain,
! [X92] :
( ! [X93] :
( ( ( ~ p45(X93)
| p46(X93) )
& ( p45(X93)
| ~ p46(X93) ) )
| ~ r1(X92,X93) )
| ~ sP26(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f38,plain,
! [X90] :
( ? [X92] :
( sP26(X92)
& sP25(X92)
& r1(X90,X92) )
| ~ sP27(X90) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f39,plain,
! [X90] :
( ! [X91] :
( ( ( ~ p44(X91)
| p45(X91) )
& ( p44(X91)
| ~ p45(X91) ) )
| ~ r1(X90,X91) )
| ~ sP28(X90) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f40,plain,
! [X88] :
( ? [X90] :
( sP28(X90)
& sP27(X90)
& r1(X88,X90) )
| ~ sP29(X88) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f41,plain,
! [X88] :
( ! [X89] :
( ( ( ~ p43(X89)
| p44(X89) )
& ( p43(X89)
| ~ p44(X89) ) )
| ~ r1(X88,X89) )
| ~ sP30(X88) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f42,plain,
! [X86] :
( ? [X88] :
( sP30(X88)
& sP29(X88)
& r1(X86,X88) )
| ~ sP31(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f43,plain,
! [X86] :
( ! [X87] :
( ( ( ~ p42(X87)
| p43(X87) )
& ( p42(X87)
| ~ p43(X87) ) )
| ~ r1(X86,X87) )
| ~ sP32(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f44,plain,
! [X84] :
( ? [X86] :
( sP32(X86)
& sP31(X86)
& r1(X84,X86) )
| ~ sP33(X84) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f45,plain,
! [X84] :
( ! [X85] :
( ( ( ~ p41(X85)
| p42(X85) )
& ( p41(X85)
| ~ p42(X85) ) )
| ~ r1(X84,X85) )
| ~ sP34(X84) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f46,plain,
! [X82] :
( ? [X84] :
( sP34(X84)
& sP33(X84)
& r1(X82,X84) )
| ~ sP35(X82) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f47,plain,
! [X82] :
( ! [X83] :
( ( ( ~ p40(X83)
| p41(X83) )
& ( p40(X83)
| ~ p41(X83) ) )
| ~ r1(X82,X83) )
| ~ sP36(X82) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f48,plain,
! [X80] :
( ? [X82] :
( sP36(X82)
& sP35(X82)
& r1(X80,X82) )
| ~ sP37(X80) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f49,plain,
! [X80] :
( ! [X81] :
( ( ( ~ p39(X81)
| p40(X81) )
& ( p39(X81)
| ~ p40(X81) ) )
| ~ r1(X80,X81) )
| ~ sP38(X80) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f50,plain,
! [X78] :
( ? [X80] :
( sP38(X80)
& sP37(X80)
& r1(X78,X80) )
| ~ sP39(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f51,plain,
! [X78] :
( ! [X79] :
( ( ( ~ p38(X79)
| p39(X79) )
& ( p38(X79)
| ~ p39(X79) ) )
| ~ r1(X78,X79) )
| ~ sP40(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f52,plain,
! [X76] :
( ? [X78] :
( sP40(X78)
& sP39(X78)
& r1(X76,X78) )
| ~ sP41(X76) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f53,plain,
! [X76] :
( ! [X77] :
( ( ( ~ p37(X77)
| p38(X77) )
& ( p37(X77)
| ~ p38(X77) ) )
| ~ r1(X76,X77) )
| ~ sP42(X76) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f54,plain,
! [X74] :
( ? [X76] :
( sP42(X76)
& sP41(X76)
& r1(X74,X76) )
| ~ sP43(X74) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f55,plain,
! [X74] :
( ! [X75] :
( ( ( ~ p36(X75)
| p37(X75) )
& ( p36(X75)
| ~ p37(X75) ) )
| ~ r1(X74,X75) )
| ~ sP44(X74) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f56,plain,
! [X72] :
( ? [X74] :
( sP44(X74)
& sP43(X74)
& r1(X72,X74) )
| ~ sP45(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f57,plain,
! [X72] :
( ! [X73] :
( ( ( ~ p35(X73)
| p36(X73) )
& ( p35(X73)
| ~ p36(X73) ) )
| ~ r1(X72,X73) )
| ~ sP46(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f58,plain,
! [X70] :
( ? [X72] :
( sP46(X72)
& sP45(X72)
& r1(X70,X72) )
| ~ sP47(X70) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f59,plain,
! [X70] :
( ! [X71] :
( ( ( ~ p34(X71)
| p35(X71) )
& ( p34(X71)
| ~ p35(X71) ) )
| ~ r1(X70,X71) )
| ~ sP48(X70) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f60,plain,
! [X68] :
( ? [X70] :
( sP48(X70)
& sP47(X70)
& r1(X68,X70) )
| ~ sP49(X68) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f61,plain,
! [X68] :
( ! [X69] :
( ( ( ~ p33(X69)
| p34(X69) )
& ( p33(X69)
| ~ p34(X69) ) )
| ~ r1(X68,X69) )
| ~ sP50(X68) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f62,plain,
! [X66] :
( ? [X68] :
( sP50(X68)
& sP49(X68)
& r1(X66,X68) )
| ~ sP51(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f63,plain,
! [X66] :
( ! [X67] :
( ( ( ~ p32(X67)
| p33(X67) )
& ( p32(X67)
| ~ p33(X67) ) )
| ~ r1(X66,X67) )
| ~ sP52(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f64,plain,
! [X64] :
( ? [X66] :
( sP52(X66)
& sP51(X66)
& r1(X64,X66) )
| ~ sP53(X64) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f65,plain,
! [X64] :
( ! [X65] :
( ( ( ~ p31(X65)
| p32(X65) )
& ( p31(X65)
| ~ p32(X65) ) )
| ~ r1(X64,X65) )
| ~ sP54(X64) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f66,plain,
! [X62] :
( ? [X64] :
( sP54(X64)
& sP53(X64)
& r1(X62,X64) )
| ~ sP55(X62) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f67,plain,
! [X62] :
( ! [X63] :
( ( ( ~ p30(X63)
| p31(X63) )
& ( p30(X63)
| ~ p31(X63) ) )
| ~ r1(X62,X63) )
| ~ sP56(X62) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f68,plain,
! [X60] :
( ? [X62] :
( sP56(X62)
& sP55(X62)
& r1(X60,X62) )
| ~ sP57(X60) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f69,plain,
! [X60] :
( ! [X61] :
( ( ( ~ p29(X61)
| p30(X61) )
& ( p29(X61)
| ~ p30(X61) ) )
| ~ r1(X60,X61) )
| ~ sP58(X60) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f70,plain,
! [X58] :
( ? [X60] :
( sP58(X60)
& sP57(X60)
& r1(X58,X60) )
| ~ sP59(X58) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f71,plain,
! [X58] :
( ! [X59] :
( ( ( ~ p28(X59)
| p29(X59) )
& ( p28(X59)
| ~ p29(X59) ) )
| ~ r1(X58,X59) )
| ~ sP60(X58) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f72,plain,
! [X56] :
( ? [X58] :
( sP60(X58)
& sP59(X58)
& r1(X56,X58) )
| ~ sP61(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f73,plain,
! [X56] :
( ! [X57] :
( ( ( ~ p27(X57)
| p28(X57) )
& ( p27(X57)
| ~ p28(X57) ) )
| ~ r1(X56,X57) )
| ~ sP62(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f74,plain,
! [X54] :
( ? [X56] :
( sP62(X56)
& sP61(X56)
& r1(X54,X56) )
| ~ sP63(X54) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f75,plain,
! [X54] :
( ! [X55] :
( ( ( ~ p26(X55)
| p27(X55) )
& ( p26(X55)
| ~ p27(X55) ) )
| ~ r1(X54,X55) )
| ~ sP64(X54) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f76,plain,
! [X52] :
( ? [X54] :
( sP64(X54)
& sP63(X54)
& r1(X52,X54) )
| ~ sP65(X52) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f77,plain,
! [X52] :
( ! [X53] :
( ( ( ~ p25(X53)
| p26(X53) )
& ( p25(X53)
| ~ p26(X53) ) )
| ~ r1(X52,X53) )
| ~ sP66(X52) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f78,plain,
! [X50] :
( ? [X52] :
( sP66(X52)
& sP65(X52)
& r1(X50,X52) )
| ~ sP67(X50) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f79,plain,
! [X50] :
( ! [X51] :
( ( ( ~ p24(X51)
| p25(X51) )
& ( p24(X51)
| ~ p25(X51) ) )
| ~ r1(X50,X51) )
| ~ sP68(X50) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f80,plain,
! [X48] :
( ? [X50] :
( sP68(X50)
& sP67(X50)
& r1(X48,X50) )
| ~ sP69(X48) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f81,plain,
! [X48] :
( ! [X49] :
( ( ( ~ p23(X49)
| p24(X49) )
& ( p23(X49)
| ~ p24(X49) ) )
| ~ r1(X48,X49) )
| ~ sP70(X48) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f82,plain,
! [X46] :
( ? [X48] :
( sP70(X48)
& sP69(X48)
& r1(X46,X48) )
| ~ sP71(X46) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f83,plain,
! [X46] :
( ! [X47] :
( ( ( ~ p22(X47)
| p23(X47) )
& ( p22(X47)
| ~ p23(X47) ) )
| ~ r1(X46,X47) )
| ~ sP72(X46) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f84,plain,
! [X44] :
( ? [X46] :
( sP72(X46)
& sP71(X46)
& r1(X44,X46) )
| ~ sP73(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f85,plain,
! [X44] :
( ! [X45] :
( ( ( ~ p21(X45)
| p22(X45) )
& ( p21(X45)
| ~ p22(X45) ) )
| ~ r1(X44,X45) )
| ~ sP74(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f86,plain,
! [X42] :
( ? [X44] :
( sP74(X44)
& sP73(X44)
& r1(X42,X44) )
| ~ sP75(X42) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f87,plain,
! [X42] :
( ! [X43] :
( ( ( ~ p20(X43)
| p21(X43) )
& ( p20(X43)
| ~ p21(X43) ) )
| ~ r1(X42,X43) )
| ~ sP76(X42) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f88,plain,
! [X40] :
( ? [X42] :
( sP76(X42)
& sP75(X42)
& r1(X40,X42) )
| ~ sP77(X40) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f89,plain,
! [X40] :
( ! [X41] :
( ( ( ~ p19(X41)
| p20(X41) )
& ( p19(X41)
| ~ p20(X41) ) )
| ~ r1(X40,X41) )
| ~ sP78(X40) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f90,plain,
! [X38] :
( ? [X40] :
( sP78(X40)
& sP77(X40)
& r1(X38,X40) )
| ~ sP79(X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f91,plain,
! [X38] :
( ! [X39] :
( ( ( ~ p18(X39)
| p19(X39) )
& ( p18(X39)
| ~ p19(X39) ) )
| ~ r1(X38,X39) )
| ~ sP80(X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f92,plain,
! [X36] :
( ? [X38] :
( sP80(X38)
& sP79(X38)
& r1(X36,X38) )
| ~ sP81(X36) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f93,plain,
! [X36] :
( ! [X37] :
( ( ( ~ p17(X37)
| p18(X37) )
& ( p17(X37)
| ~ p18(X37) ) )
| ~ r1(X36,X37) )
| ~ sP82(X36) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f94,plain,
! [X34] :
( ? [X36] :
( sP82(X36)
& sP81(X36)
& r1(X34,X36) )
| ~ sP83(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f95,plain,
! [X34] :
( ! [X35] :
( ( ( ~ p16(X35)
| p17(X35) )
& ( p16(X35)
| ~ p17(X35) ) )
| ~ r1(X34,X35) )
| ~ sP84(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f96,plain,
! [X32] :
( ? [X34] :
( sP84(X34)
& sP83(X34)
& r1(X32,X34) )
| ~ sP85(X32) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f97,plain,
! [X32] :
( ! [X33] :
( ( ( ~ p15(X33)
| p16(X33) )
& ( p15(X33)
| ~ p16(X33) ) )
| ~ r1(X32,X33) )
| ~ sP86(X32) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f98,plain,
! [X30] :
( ? [X32] :
( sP86(X32)
& sP85(X32)
& r1(X30,X32) )
| ~ sP87(X30) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f99,plain,
! [X30] :
( ! [X31] :
( ( ( ~ p14(X31)
| p15(X31) )
& ( p14(X31)
| ~ p15(X31) ) )
| ~ r1(X30,X31) )
| ~ sP88(X30) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f100,plain,
! [X28] :
( ? [X30] :
( sP88(X30)
& sP87(X30)
& r1(X28,X30) )
| ~ sP89(X28) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f101,plain,
! [X28] :
( ! [X29] :
( ( ( ~ p13(X29)
| p14(X29) )
& ( p13(X29)
| ~ p14(X29) ) )
| ~ r1(X28,X29) )
| ~ sP90(X28) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f102,plain,
! [X26] :
( ? [X28] :
( sP90(X28)
& sP89(X28)
& r1(X26,X28) )
| ~ sP91(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f103,plain,
! [X26] :
( ! [X27] :
( ( ( ~ p12(X27)
| p13(X27) )
& ( p12(X27)
| ~ p13(X27) ) )
| ~ r1(X26,X27) )
| ~ sP92(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f104,plain,
! [X24] :
( ? [X26] :
( sP92(X26)
& sP91(X26)
& r1(X24,X26) )
| ~ sP93(X24) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f105,plain,
! [X24] :
( ! [X25] :
( ( ( ~ p11(X25)
| p12(X25) )
& ( p11(X25)
| ~ p12(X25) ) )
| ~ r1(X24,X25) )
| ~ sP94(X24) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f106,plain,
! [X22] :
( ? [X24] :
( sP94(X24)
& sP93(X24)
& r1(X22,X24) )
| ~ sP95(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f107,plain,
! [X22] :
( ! [X23] :
( ( ( ~ p10(X23)
| p11(X23) )
& ( p10(X23)
| ~ p11(X23) ) )
| ~ r1(X22,X23) )
| ~ sP96(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f108,plain,
! [X20] :
( ? [X22] :
( sP96(X22)
& sP95(X22)
& r1(X20,X22) )
| ~ sP97(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f109,plain,
! [X20] :
( ! [X21] :
( ( ( ~ p9(X21)
| p10(X21) )
& ( p9(X21)
| ~ p10(X21) ) )
| ~ r1(X20,X21) )
| ~ sP98(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f110,plain,
! [X18] :
( ? [X20] :
( sP98(X20)
& sP97(X20)
& r1(X18,X20) )
| ~ sP99(X18) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f111,plain,
! [X18] :
( ! [X19] :
( ( ( ~ p8(X19)
| p9(X19) )
& ( p8(X19)
| ~ p9(X19) ) )
| ~ r1(X18,X19) )
| ~ sP100(X18) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f112,plain,
! [X16] :
( ? [X18] :
( sP100(X18)
& sP99(X18)
& r1(X16,X18) )
| ~ sP101(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f113,plain,
! [X16] :
( ! [X17] :
( ( ( ~ p7(X17)
| p8(X17) )
& ( p7(X17)
| ~ p8(X17) ) )
| ~ r1(X16,X17) )
| ~ sP102(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f114,plain,
! [X14] :
( ? [X16] :
( sP102(X16)
& sP101(X16)
& r1(X14,X16) )
| ~ sP103(X14) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f115,plain,
! [X14] :
( ! [X15] :
( ( ( ~ p6(X15)
| p7(X15) )
& ( p6(X15)
| ~ p7(X15) ) )
| ~ r1(X14,X15) )
| ~ sP104(X14) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f116,plain,
! [X12] :
( ? [X14] :
( sP104(X14)
& sP103(X14)
& r1(X12,X14) )
| ~ sP105(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f117,plain,
! [X12] :
( ! [X13] :
( ( ( ~ p5(X13)
| p6(X13) )
& ( p5(X13)
| ~ p6(X13) ) )
| ~ r1(X12,X13) )
| ~ sP106(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f118,plain,
! [X10] :
( ? [X12] :
( sP106(X12)
& sP105(X12)
& r1(X10,X12) )
| ~ sP107(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f119,plain,
! [X10] :
( ! [X11] :
( ( ( ~ p4(X11)
| p5(X11) )
& ( p4(X11)
| ~ p5(X11) ) )
| ~ r1(X10,X11) )
| ~ sP108(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f120,plain,
! [X8] :
( ? [X10] :
( sP108(X10)
& sP107(X10)
& r1(X8,X10) )
| ~ sP109(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f121,plain,
! [X8] :
( ! [X9] :
( ( ( ~ p3(X9)
| p4(X9) )
& ( p3(X9)
| ~ p4(X9) ) )
| ~ r1(X8,X9) )
| ~ sP110(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f122,plain,
! [X6] :
( ? [X8] :
( sP110(X8)
& sP109(X8)
& r1(X6,X8) )
| ~ sP111(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f123,plain,
! [X6] :
( ! [X7] :
( ( ( ~ p2(X7)
| p3(X7) )
& ( p2(X7)
| ~ p3(X7) ) )
| ~ r1(X6,X7) )
| ~ sP112(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f124,plain,
! [X2] :
( ? [X6] :
( sP112(X6)
& sP111(X6)
& r1(X2,X6) )
| ~ sP113(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f125,plain,
! [X2] :
( ? [X3] :
( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) )
& ( ~ p2(X3)
| ~ p3(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p5(X3)
| p4(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( p8(X3)
| p7(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( p9(X3)
| p8(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p10(X3)
| ~ p11(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p12(X3)
| p11(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p13(X3)
| p12(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p14(X3)
| p13(X3) )
& ( ~ p14(X3)
| ~ p15(X3) )
& ( p15(X3)
| p14(X3) )
& ( ~ p15(X3)
| ~ p16(X3) )
& ( p16(X3)
| p15(X3) )
& ( ~ p16(X3)
| ~ p17(X3) )
& ( p17(X3)
| p16(X3) )
& ( ~ p17(X3)
| ~ p18(X3) )
& ( p18(X3)
| p17(X3) )
& ( ~ p18(X3)
| ~ p19(X3) )
& ( p19(X3)
| p18(X3) )
& ( ~ p19(X3)
| ~ p20(X3) )
& ( p20(X3)
| p19(X3) )
& ( ~ p20(X3)
| ~ p21(X3) )
& ( p21(X3)
| p20(X3) )
& ( ~ p21(X3)
| ~ p22(X3) )
& ( p22(X3)
| p21(X3) )
& ( ~ p22(X3)
| ~ p23(X3) )
& ( p23(X3)
| p22(X3) )
& ( ~ p23(X3)
| ~ p24(X3) )
& ( p24(X3)
| p23(X3) )
& ( ~ p24(X3)
| ~ p25(X3) )
& ( p25(X3)
| p24(X3) )
& ( ~ p25(X3)
| ~ p26(X3) )
& ( p26(X3)
| p25(X3) )
& ( ~ p26(X3)
| ~ p27(X3) )
& ( p27(X3)
| p26(X3) )
& ( ~ p27(X3)
| ~ p28(X3) )
& ( p28(X3)
| p27(X3) )
& ( ~ p28(X3)
| ~ p29(X3) )
& ( p29(X3)
| p28(X3) )
& ( ~ p29(X3)
| ~ p30(X3) )
& ( p30(X3)
| p29(X3) )
& ( ~ p30(X3)
| ~ p31(X3) )
& ( p31(X3)
| p30(X3) )
& ( ~ p31(X3)
| ~ p32(X3) )
& ( p32(X3)
| p31(X3) )
& ( ~ p32(X3)
| ~ p33(X3) )
& ( p33(X3)
| p32(X3) )
& ( ~ p33(X3)
| ~ p34(X3) )
& ( p34(X3)
| p33(X3) )
& ( ~ p34(X3)
| ~ p35(X3) )
& ( p35(X3)
| p34(X3) )
& ( ~ p35(X3)
| ~ p36(X3) )
& ( p36(X3)
| p35(X3) )
& ( ~ p36(X3)
| ~ p37(X3) )
& ( p37(X3)
| p36(X3) )
& ( ~ p37(X3)
| ~ p38(X3) )
& ( p38(X3)
| p37(X3) )
& ( ~ p38(X3)
| ~ p39(X3) )
& ( p39(X3)
| p38(X3) )
& ( ~ p39(X3)
| ~ p40(X3) )
& ( p40(X3)
| p39(X3) )
& ( ~ p40(X3)
| ~ p41(X3) )
& ( p41(X3)
| p40(X3) )
& ( ~ p41(X3)
| ~ p42(X3) )
& ( p42(X3)
| p41(X3) )
& ( ~ p42(X3)
| ~ p43(X3) )
& ( p43(X3)
| p42(X3) )
& ( ~ p43(X3)
| ~ p44(X3) )
& ( p44(X3)
| p43(X3) )
& ( ~ p44(X3)
| ~ p45(X3) )
& ( p45(X3)
| p44(X3) )
& ( ~ p45(X3)
| ~ p46(X3) )
& ( p46(X3)
| p45(X3) )
& ( ~ p46(X3)
| ~ p47(X3) )
& ( p47(X3)
| p46(X3) )
& ( ~ p47(X3)
| ~ p48(X3) )
& ( p48(X3)
| p47(X3) )
& ( ~ p48(X3)
| ~ p49(X3) )
& ( p49(X3)
| p48(X3) )
& ( ~ p49(X3)
| ~ p50(X3) )
& ( p50(X3)
| p49(X3) )
& ( ~ p50(X3)
| ~ p51(X3) )
& ( p51(X3)
| p50(X3) )
& ( ~ p51(X3)
| ~ p52(X3) )
& ( p52(X3)
| p51(X3) )
& ( ~ p52(X3)
| ~ p53(X3) )
& ( p53(X3)
| p52(X3) )
& ( ~ p53(X3)
| ~ p54(X3) )
& ( p54(X3)
| p53(X3) )
& ( ~ p54(X3)
| ~ p55(X3) )
& ( p55(X3)
| p54(X3) )
& ( ~ p55(X3)
| ~ p56(X3) )
& ( p56(X3)
| p55(X3) )
& ( ~ p56(X3)
| ~ p57(X3) )
& ( p57(X3)
| p56(X3) )
& ( ~ p57(X3)
| ~ p58(X3) )
& ( p58(X3)
| p57(X3) )
& ( ~ p58(X3)
| ~ p59(X3) )
& ( p59(X3)
| p58(X3) )
& r1(X2,X3) )
| ~ sP114(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f126,plain,
! [X2] :
( ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X2,X5) )
| ~ sP115(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f127,plain,
! [X2] :
( ? [X4] :
( ~ p60(X4)
& r1(X2,X4) )
| ~ sP116(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f128,plain,
! [X2] :
( ( sP114(X2)
& sP116(X2)
& sP115(X2)
& sP113(X2) )
| ~ sP117(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f8,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ( ? [X3] :
( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) )
& ( ~ p2(X3)
| ~ p3(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p5(X3)
| p4(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( p8(X3)
| p7(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( p9(X3)
| p8(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p10(X3)
| ~ p11(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p12(X3)
| p11(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p13(X3)
| p12(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p14(X3)
| p13(X3) )
& ( ~ p14(X3)
| ~ p15(X3) )
& ( p15(X3)
| p14(X3) )
& ( ~ p15(X3)
| ~ p16(X3) )
& ( p16(X3)
| p15(X3) )
& ( ~ p16(X3)
| ~ p17(X3) )
& ( p17(X3)
| p16(X3) )
& ( ~ p17(X3)
| ~ p18(X3) )
& ( p18(X3)
| p17(X3) )
& ( ~ p18(X3)
| ~ p19(X3) )
& ( p19(X3)
| p18(X3) )
& ( ~ p19(X3)
| ~ p20(X3) )
& ( p20(X3)
| p19(X3) )
& ( ~ p20(X3)
| ~ p21(X3) )
& ( p21(X3)
| p20(X3) )
& ( ~ p21(X3)
| ~ p22(X3) )
& ( p22(X3)
| p21(X3) )
& ( ~ p22(X3)
| ~ p23(X3) )
& ( p23(X3)
| p22(X3) )
& ( ~ p23(X3)
| ~ p24(X3) )
& ( p24(X3)
| p23(X3) )
& ( ~ p24(X3)
| ~ p25(X3) )
& ( p25(X3)
| p24(X3) )
& ( ~ p25(X3)
| ~ p26(X3) )
& ( p26(X3)
| p25(X3) )
& ( ~ p26(X3)
| ~ p27(X3) )
& ( p27(X3)
| p26(X3) )
& ( ~ p27(X3)
| ~ p28(X3) )
& ( p28(X3)
| p27(X3) )
& ( ~ p28(X3)
| ~ p29(X3) )
& ( p29(X3)
| p28(X3) )
& ( ~ p29(X3)
| ~ p30(X3) )
& ( p30(X3)
| p29(X3) )
& ( ~ p30(X3)
| ~ p31(X3) )
& ( p31(X3)
| p30(X3) )
& ( ~ p31(X3)
| ~ p32(X3) )
& ( p32(X3)
| p31(X3) )
& ( ~ p32(X3)
| ~ p33(X3) )
& ( p33(X3)
| p32(X3) )
& ( ~ p33(X3)
| ~ p34(X3) )
& ( p34(X3)
| p33(X3) )
& ( ~ p34(X3)
| ~ p35(X3) )
& ( p35(X3)
| p34(X3) )
& ( ~ p35(X3)
| ~ p36(X3) )
& ( p36(X3)
| p35(X3) )
& ( ~ p36(X3)
| ~ p37(X3) )
& ( p37(X3)
| p36(X3) )
& ( ~ p37(X3)
| ~ p38(X3) )
& ( p38(X3)
| p37(X3) )
& ( ~ p38(X3)
| ~ p39(X3) )
& ( p39(X3)
| p38(X3) )
& ( ~ p39(X3)
| ~ p40(X3) )
& ( p40(X3)
| p39(X3) )
& ( ~ p40(X3)
| ~ p41(X3) )
& ( p41(X3)
| p40(X3) )
& ( ~ p41(X3)
| ~ p42(X3) )
& ( p42(X3)
| p41(X3) )
& ( ~ p42(X3)
| ~ p43(X3) )
& ( p43(X3)
| p42(X3) )
& ( ~ p43(X3)
| ~ p44(X3) )
& ( p44(X3)
| p43(X3) )
& ( ~ p44(X3)
| ~ p45(X3) )
& ( p45(X3)
| p44(X3) )
& ( ~ p45(X3)
| ~ p46(X3) )
& ( p46(X3)
| p45(X3) )
& ( ~ p46(X3)
| ~ p47(X3) )
& ( p47(X3)
| p46(X3) )
& ( ~ p47(X3)
| ~ p48(X3) )
& ( p48(X3)
| p47(X3) )
& ( ~ p48(X3)
| ~ p49(X3) )
& ( p49(X3)
| p48(X3) )
& ( ~ p49(X3)
| ~ p50(X3) )
& ( p50(X3)
| p49(X3) )
& ( ~ p50(X3)
| ~ p51(X3) )
& ( p51(X3)
| p50(X3) )
& ( ~ p51(X3)
| ~ p52(X3) )
& ( p52(X3)
| p51(X3) )
& ( ~ p52(X3)
| ~ p53(X3) )
& ( p53(X3)
| p52(X3) )
& ( ~ p53(X3)
| ~ p54(X3) )
& ( p54(X3)
| p53(X3) )
& ( ~ p54(X3)
| ~ p55(X3) )
& ( p55(X3)
| p54(X3) )
& ( ~ p55(X3)
| ~ p56(X3) )
& ( p56(X3)
| p55(X3) )
& ( ~ p56(X3)
| ~ p57(X3) )
& ( p57(X3)
| p56(X3) )
& ( ~ p57(X3)
| ~ p58(X3) )
& ( p58(X3)
| p57(X3) )
& ( ~ p58(X3)
| ~ p59(X3) )
& ( p59(X3)
| p58(X3) )
& r1(X2,X3) )
& ? [X4] :
( ~ p60(X4)
& r1(X2,X4) )
& ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X2,X5) )
& ? [X6] :
( ! [X7] :
( ( ( ~ p2(X7)
| p3(X7) )
& ( p2(X7)
| ~ p3(X7) ) )
| ~ r1(X6,X7) )
& ? [X8] :
( ! [X9] :
( ( ( ~ p3(X9)
| p4(X9) )
& ( p3(X9)
| ~ p4(X9) ) )
| ~ r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( ( ( ~ p4(X11)
| p5(X11) )
& ( p4(X11)
| ~ p5(X11) ) )
| ~ r1(X10,X11) )
& ? [X12] :
( ! [X13] :
( ( ( ~ p5(X13)
| p6(X13) )
& ( p5(X13)
| ~ p6(X13) ) )
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( ( ( ~ p6(X15)
| p7(X15) )
& ( p6(X15)
| ~ p7(X15) ) )
| ~ r1(X14,X15) )
& ? [X16] :
( ! [X17] :
( ( ( ~ p7(X17)
| p8(X17) )
& ( p7(X17)
| ~ p8(X17) ) )
| ~ r1(X16,X17) )
& ? [X18] :
( ! [X19] :
( ( ( ~ p8(X19)
| p9(X19) )
& ( p8(X19)
| ~ p9(X19) ) )
| ~ r1(X18,X19) )
& ? [X20] :
( ! [X21] :
( ( ( ~ p9(X21)
| p10(X21) )
& ( p9(X21)
| ~ p10(X21) ) )
| ~ r1(X20,X21) )
& ? [X22] :
( ! [X23] :
( ( ( ~ p10(X23)
| p11(X23) )
& ( p10(X23)
| ~ p11(X23) ) )
| ~ r1(X22,X23) )
& ? [X24] :
( ! [X25] :
( ( ( ~ p11(X25)
| p12(X25) )
& ( p11(X25)
| ~ p12(X25) ) )
| ~ r1(X24,X25) )
& ? [X26] :
( ! [X27] :
( ( ( ~ p12(X27)
| p13(X27) )
& ( p12(X27)
| ~ p13(X27) ) )
| ~ r1(X26,X27) )
& ? [X28] :
( ! [X29] :
( ( ( ~ p13(X29)
| p14(X29) )
& ( p13(X29)
| ~ p14(X29) ) )
| ~ r1(X28,X29) )
& ? [X30] :
( ! [X31] :
( ( ( ~ p14(X31)
| p15(X31) )
& ( p14(X31)
| ~ p15(X31) ) )
| ~ r1(X30,X31) )
& ? [X32] :
( ! [X33] :
( ( ( ~ p15(X33)
| p16(X33) )
& ( p15(X33)
| ~ p16(X33) ) )
| ~ r1(X32,X33) )
& ? [X34] :
( ! [X35] :
( ( ( ~ p16(X35)
| p17(X35) )
& ( p16(X35)
| ~ p17(X35) ) )
| ~ r1(X34,X35) )
& ? [X36] :
( ! [X37] :
( ( ( ~ p17(X37)
| p18(X37) )
& ( p17(X37)
| ~ p18(X37) ) )
| ~ r1(X36,X37) )
& ? [X38] :
( ! [X39] :
( ( ( ~ p18(X39)
| p19(X39) )
& ( p18(X39)
| ~ p19(X39) ) )
| ~ r1(X38,X39) )
& ? [X40] :
( ! [X41] :
( ( ( ~ p19(X41)
| p20(X41) )
& ( p19(X41)
| ~ p20(X41) ) )
| ~ r1(X40,X41) )
& ? [X42] :
( ! [X43] :
( ( ( ~ p20(X43)
| p21(X43) )
& ( p20(X43)
| ~ p21(X43) ) )
| ~ r1(X42,X43) )
& ? [X44] :
( ! [X45] :
( ( ( ~ p21(X45)
| p22(X45) )
& ( p21(X45)
| ~ p22(X45) ) )
| ~ r1(X44,X45) )
& ? [X46] :
( ! [X47] :
( ( ( ~ p22(X47)
| p23(X47) )
& ( p22(X47)
| ~ p23(X47) ) )
| ~ r1(X46,X47) )
& ? [X48] :
( ! [X49] :
( ( ( ~ p23(X49)
| p24(X49) )
& ( p23(X49)
| ~ p24(X49) ) )
| ~ r1(X48,X49) )
& ? [X50] :
( ! [X51] :
( ( ( ~ p24(X51)
| p25(X51) )
& ( p24(X51)
| ~ p25(X51) ) )
| ~ r1(X50,X51) )
& ? [X52] :
( ! [X53] :
( ( ( ~ p25(X53)
| p26(X53) )
& ( p25(X53)
| ~ p26(X53) ) )
| ~ r1(X52,X53) )
& ? [X54] :
( ! [X55] :
( ( ( ~ p26(X55)
| p27(X55) )
& ( p26(X55)
| ~ p27(X55) ) )
| ~ r1(X54,X55) )
& ? [X56] :
( ! [X57] :
( ( ( ~ p27(X57)
| p28(X57) )
& ( p27(X57)
| ~ p28(X57) ) )
| ~ r1(X56,X57) )
& ? [X58] :
( ! [X59] :
( ( ( ~ p28(X59)
| p29(X59) )
& ( p28(X59)
| ~ p29(X59) ) )
| ~ r1(X58,X59) )
& ? [X60] :
( ! [X61] :
( ( ( ~ p29(X61)
| p30(X61) )
& ( p29(X61)
| ~ p30(X61) ) )
| ~ r1(X60,X61) )
& ? [X62] :
( ! [X63] :
( ( ( ~ p30(X63)
| p31(X63) )
& ( p30(X63)
| ~ p31(X63) ) )
| ~ r1(X62,X63) )
& ? [X64] :
( ! [X65] :
( ( ( ~ p31(X65)
| p32(X65) )
& ( p31(X65)
| ~ p32(X65) ) )
| ~ r1(X64,X65) )
& ? [X66] :
( ! [X67] :
( ( ( ~ p32(X67)
| p33(X67) )
& ( p32(X67)
| ~ p33(X67) ) )
| ~ r1(X66,X67) )
& ? [X68] :
( ! [X69] :
( ( ( ~ p33(X69)
| p34(X69) )
& ( p33(X69)
| ~ p34(X69) ) )
| ~ r1(X68,X69) )
& ? [X70] :
( ! [X71] :
( ( ( ~ p34(X71)
| p35(X71) )
& ( p34(X71)
| ~ p35(X71) ) )
| ~ r1(X70,X71) )
& ? [X72] :
( ! [X73] :
( ( ( ~ p35(X73)
| p36(X73) )
& ( p35(X73)
| ~ p36(X73) ) )
| ~ r1(X72,X73) )
& ? [X74] :
( ! [X75] :
( ( ( ~ p36(X75)
| p37(X75) )
& ( p36(X75)
| ~ p37(X75) ) )
| ~ r1(X74,X75) )
& ? [X76] :
( ! [X77] :
( ( ( ~ p37(X77)
| p38(X77) )
& ( p37(X77)
| ~ p38(X77) ) )
| ~ r1(X76,X77) )
& ? [X78] :
( ! [X79] :
( ( ( ~ p38(X79)
| p39(X79) )
& ( p38(X79)
| ~ p39(X79) ) )
| ~ r1(X78,X79) )
& ? [X80] :
( ! [X81] :
( ( ( ~ p39(X81)
| p40(X81) )
& ( p39(X81)
| ~ p40(X81) ) )
| ~ r1(X80,X81) )
& ? [X82] :
( ! [X83] :
( ( ( ~ p40(X83)
| p41(X83) )
& ( p40(X83)
| ~ p41(X83) ) )
| ~ r1(X82,X83) )
& ? [X84] :
( ! [X85] :
( ( ( ~ p41(X85)
| p42(X85) )
& ( p41(X85)
| ~ p42(X85) ) )
| ~ r1(X84,X85) )
& ? [X86] :
( ! [X87] :
( ( ( ~ p42(X87)
| p43(X87) )
& ( p42(X87)
| ~ p43(X87) ) )
| ~ r1(X86,X87) )
& ? [X88] :
( ! [X89] :
( ( ( ~ p43(X89)
| p44(X89) )
& ( p43(X89)
| ~ p44(X89) ) )
| ~ r1(X88,X89) )
& ? [X90] :
( ! [X91] :
( ( ( ~ p44(X91)
| p45(X91) )
& ( p44(X91)
| ~ p45(X91) ) )
| ~ r1(X90,X91) )
& ? [X92] :
( ! [X93] :
( ( ( ~ p45(X93)
| p46(X93) )
& ( p45(X93)
| ~ p46(X93) ) )
| ~ r1(X92,X93) )
& ? [X94] :
( ! [X95] :
( ( ( ~ p46(X95)
| p47(X95) )
& ( p46(X95)
| ~ p47(X95) ) )
| ~ r1(X94,X95) )
& ? [X96] :
( ! [X97] :
( ( ( ~ p47(X97)
| p48(X97) )
& ( p47(X97)
| ~ p48(X97) ) )
| ~ r1(X96,X97) )
& ? [X98] :
( ! [X99] :
( ( ( ~ p48(X99)
| p49(X99) )
& ( p48(X99)
| ~ p49(X99) ) )
| ~ r1(X98,X99) )
& ? [X100] :
( ! [X101] :
( ( ( ~ p49(X101)
| p50(X101) )
& ( p49(X101)
| ~ p50(X101) ) )
| ~ r1(X100,X101) )
& ? [X102] :
( ! [X103] :
( ( ( ~ p50(X103)
| p51(X103) )
& ( p50(X103)
| ~ p51(X103) ) )
| ~ r1(X102,X103) )
& ? [X104] :
( ! [X105] :
( ( ( ~ p51(X105)
| p52(X105) )
& ( p51(X105)
| ~ p52(X105) ) )
| ~ r1(X104,X105) )
& ? [X106] :
( ! [X107] :
( ( ( ~ p52(X107)
| p53(X107) )
& ( p52(X107)
| ~ p53(X107) ) )
| ~ r1(X106,X107) )
& ? [X108] :
( ! [X109] :
( ( ( ~ p53(X109)
| p54(X109) )
& ( p53(X109)
| ~ p54(X109) ) )
| ~ r1(X108,X109) )
& ? [X110] :
( ! [X111] :
( ( ( ~ p54(X111)
| p55(X111) )
& ( p54(X111)
| ~ p55(X111) ) )
| ~ r1(X110,X111) )
& ? [X112] :
( ! [X113] :
( ( ( ~ p55(X113)
| p56(X113) )
& ( p55(X113)
| ~ p56(X113) ) )
| ~ r1(X112,X113) )
& ? [X114] :
( ! [X115] :
( ( ( ~ p56(X115)
| p57(X115) )
& ( p56(X115)
| ~ p57(X115) ) )
| ~ r1(X114,X115) )
& ? [X116] :
( ! [X117] :
( ( ( ~ p57(X117)
| p58(X117) )
& ( p57(X117)
| ~ p58(X117) ) )
| ~ r1(X116,X117) )
& ? [X118] :
( ! [X119] :
( ( ( ~ p58(X119)
| p59(X119) )
& ( p58(X119)
| ~ p59(X119) ) )
| ~ r1(X118,X119) )
& ? [X120] : r1(X118,X120)
& r1(X116,X118) )
& r1(X114,X116) )
& r1(X112,X114) )
& r1(X110,X112) )
& r1(X108,X110) )
& r1(X106,X108) )
& r1(X104,X106) )
& r1(X102,X104) )
& r1(X100,X102) )
& r1(X98,X100) )
& r1(X96,X98) )
& r1(X94,X96) )
& r1(X92,X94) )
& r1(X90,X92) )
& r1(X88,X90) )
& r1(X86,X88) )
& r1(X84,X86) )
& r1(X82,X84) )
& r1(X80,X82) )
& r1(X78,X80) )
& r1(X76,X78) )
& r1(X74,X76) )
& r1(X72,X74) )
& r1(X70,X72) )
& r1(X68,X70) )
& r1(X66,X68) )
& r1(X64,X66) )
& r1(X62,X64) )
& r1(X60,X62) )
& r1(X58,X60) )
& r1(X56,X58) )
& r1(X54,X56) )
& r1(X52,X54) )
& r1(X50,X52) )
& r1(X48,X50) )
& r1(X46,X48) )
& r1(X44,X46) )
& r1(X42,X44) )
& r1(X40,X42) )
& r1(X38,X40) )
& r1(X36,X38) )
& r1(X34,X36) )
& r1(X32,X34) )
& r1(X30,X32) )
& r1(X28,X30) )
& r1(X26,X28) )
& r1(X24,X26) )
& r1(X22,X24) )
& r1(X20,X22) )
& r1(X18,X20) )
& r1(X16,X18) )
& r1(X14,X16) )
& r1(X12,X14) )
& r1(X10,X12) )
& r1(X8,X10) )
& r1(X6,X8) )
& r1(X2,X6) ) )
| ~ r1(X1,X2) )
& r1(X0,X1) )
& ? [X121] :
( ? [X122] :
( p1(X122)
& r1(X121,X122) )
& p60(X121)
& r1(X0,X121) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ( ! [X3] :
( ( p1(X3)
& p2(X3) )
| ( ~ p2(X3)
& ~ p1(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p3(X3)
& p4(X3) )
| ( ~ p4(X3)
& ~ p3(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p6(X3)
& ~ p5(X3) )
| ( p6(X3)
& p7(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p7(X3)
& p8(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( p8(X3)
& p9(X3) )
| ( ~ p9(X3)
& ~ p8(X3) )
| ( p9(X3)
& p10(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p11(X3)
& p12(X3) )
| ( ~ p12(X3)
& ~ p11(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ( p14(X3)
& p15(X3) )
| ( ~ p15(X3)
& ~ p14(X3) )
| ( p15(X3)
& p16(X3) )
| ( ~ p16(X3)
& ~ p15(X3) )
| ( p16(X3)
& p17(X3) )
| ( ~ p17(X3)
& ~ p16(X3) )
| ( p17(X3)
& p18(X3) )
| ( ~ p18(X3)
& ~ p17(X3) )
| ( p18(X3)
& p19(X3) )
| ( ~ p19(X3)
& ~ p18(X3) )
| ( p19(X3)
& p20(X3) )
| ( ~ p20(X3)
& ~ p19(X3) )
| ( p20(X3)
& p21(X3) )
| ( ~ p21(X3)
& ~ p20(X3) )
| ( p21(X3)
& p22(X3) )
| ( ~ p22(X3)
& ~ p21(X3) )
| ( p22(X3)
& p23(X3) )
| ( ~ p23(X3)
& ~ p22(X3) )
| ( p23(X3)
& p24(X3) )
| ( ~ p24(X3)
& ~ p23(X3) )
| ( p24(X3)
& p25(X3) )
| ( ~ p25(X3)
& ~ p24(X3) )
| ( p25(X3)
& p26(X3) )
| ( ~ p26(X3)
& ~ p25(X3) )
| ( p26(X3)
& p27(X3) )
| ( ~ p27(X3)
& ~ p26(X3) )
| ( p27(X3)
& p28(X3) )
| ( ~ p28(X3)
& ~ p27(X3) )
| ( p28(X3)
& p29(X3) )
| ( ~ p29(X3)
& ~ p28(X3) )
| ( p29(X3)
& p30(X3) )
| ( ~ p30(X3)
& ~ p29(X3) )
| ( p30(X3)
& p31(X3) )
| ( ~ p31(X3)
& ~ p30(X3) )
| ( p31(X3)
& p32(X3) )
| ( ~ p32(X3)
& ~ p31(X3) )
| ( p32(X3)
& p33(X3) )
| ( ~ p33(X3)
& ~ p32(X3) )
| ( p33(X3)
& p34(X3) )
| ( ~ p34(X3)
& ~ p33(X3) )
| ( p34(X3)
& p35(X3) )
| ( ~ p35(X3)
& ~ p34(X3) )
| ( p35(X3)
& p36(X3) )
| ( ~ p36(X3)
& ~ p35(X3) )
| ( p36(X3)
& p37(X3) )
| ( ~ p37(X3)
& ~ p36(X3) )
| ( p37(X3)
& p38(X3) )
| ( ~ p38(X3)
& ~ p37(X3) )
| ( p38(X3)
& p39(X3) )
| ( ~ p39(X3)
& ~ p38(X3) )
| ( p39(X3)
& p40(X3) )
| ( ~ p40(X3)
& ~ p39(X3) )
| ( p40(X3)
& p41(X3) )
| ( ~ p41(X3)
& ~ p40(X3) )
| ( p41(X3)
& p42(X3) )
| ( ~ p42(X3)
& ~ p41(X3) )
| ( p42(X3)
& p43(X3) )
| ( ~ p43(X3)
& ~ p42(X3) )
| ( p43(X3)
& p44(X3) )
| ( ~ p44(X3)
& ~ p43(X3) )
| ( p44(X3)
& p45(X3) )
| ( ~ p45(X3)
& ~ p44(X3) )
| ( p45(X3)
& p46(X3) )
| ( ~ p46(X3)
& ~ p45(X3) )
| ( p46(X3)
& p47(X3) )
| ( ~ p47(X3)
& ~ p46(X3) )
| ( p47(X3)
& p48(X3) )
| ( ~ p48(X3)
& ~ p47(X3) )
| ( p48(X3)
& p49(X3) )
| ( ~ p49(X3)
& ~ p48(X3) )
| ( p49(X3)
& p50(X3) )
| ( ~ p50(X3)
& ~ p49(X3) )
| ( p50(X3)
& p51(X3) )
| ( ~ p51(X3)
& ~ p50(X3) )
| ( p51(X3)
& p52(X3) )
| ( ~ p52(X3)
& ~ p51(X3) )
| ( p52(X3)
& p53(X3) )
| ( ~ p53(X3)
& ~ p52(X3) )
| ( p53(X3)
& p54(X3) )
| ( ~ p54(X3)
& ~ p53(X3) )
| ( p54(X3)
& p55(X3) )
| ( ~ p55(X3)
& ~ p54(X3) )
| ( p55(X3)
& p56(X3) )
| ( ~ p56(X3)
& ~ p55(X3) )
| ( p56(X3)
& p57(X3) )
| ( ~ p57(X3)
& ~ p56(X3) )
| ( p57(X3)
& p58(X3) )
| ( ~ p58(X3)
& ~ p57(X3) )
| ( p58(X3)
& p59(X3) )
| ( ~ p59(X3)
& ~ p58(X3) )
| ~ r1(X2,X3) )
| ! [X4] :
( p60(X4)
| ~ r1(X2,X4) )
| ~ ! [X5] :
( ~ ( ( p1(X5)
& ~ p2(X5) )
| ( ~ p1(X5)
& p2(X5) ) )
| ~ r1(X2,X5) )
| ! [X6] :
( ~ ! [X7] :
( ~ ( ( p2(X7)
& ~ p3(X7) )
| ( ~ p2(X7)
& p3(X7) ) )
| ~ r1(X6,X7) )
| ! [X8] :
( ~ ! [X9] :
( ~ ( ( p3(X9)
& ~ p4(X9) )
| ( ~ p3(X9)
& p4(X9) ) )
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( ~ ( ( p4(X11)
& ~ p5(X11) )
| ( ~ p4(X11)
& p5(X11) ) )
| ~ r1(X10,X11) )
| ! [X12] :
( ~ ! [X13] :
( ~ ( ( p5(X13)
& ~ p6(X13) )
| ( ~ p5(X13)
& p6(X13) ) )
| ~ r1(X12,X13) )
| ! [X14] :
( ~ ! [X15] :
( ~ ( ( p6(X15)
& ~ p7(X15) )
| ( ~ p6(X15)
& p7(X15) ) )
| ~ r1(X14,X15) )
| ! [X16] :
( ~ ! [X17] :
( ~ ( ( p7(X17)
& ~ p8(X17) )
| ( ~ p7(X17)
& p8(X17) ) )
| ~ r1(X16,X17) )
| ! [X18] :
( ~ ! [X19] :
( ~ ( ( p8(X19)
& ~ p9(X19) )
| ( ~ p8(X19)
& p9(X19) ) )
| ~ r1(X18,X19) )
| ! [X20] :
( ~ ! [X21] :
( ~ ( ( p9(X21)
& ~ p10(X21) )
| ( ~ p9(X21)
& p10(X21) ) )
| ~ r1(X20,X21) )
| ! [X22] :
( ~ ! [X23] :
( ~ ( ( p10(X23)
& ~ p11(X23) )
| ( ~ p10(X23)
& p11(X23) ) )
| ~ r1(X22,X23) )
| ! [X24] :
( ~ ! [X25] :
( ~ ( ( p11(X25)
& ~ p12(X25) )
| ( ~ p11(X25)
& p12(X25) ) )
| ~ r1(X24,X25) )
| ! [X26] :
( ~ ! [X27] :
( ~ ( ( p12(X27)
& ~ p13(X27) )
| ( ~ p12(X27)
& p13(X27) ) )
| ~ r1(X26,X27) )
| ! [X28] :
( ~ ! [X29] :
( ~ ( ( p13(X29)
& ~ p14(X29) )
| ( ~ p13(X29)
& p14(X29) ) )
| ~ r1(X28,X29) )
| ! [X30] :
( ~ ! [X31] :
( ~ ( ( p14(X31)
& ~ p15(X31) )
| ( ~ p14(X31)
& p15(X31) ) )
| ~ r1(X30,X31) )
| ! [X32] :
( ~ ! [X33] :
( ~ ( ( p15(X33)
& ~ p16(X33) )
| ( ~ p15(X33)
& p16(X33) ) )
| ~ r1(X32,X33) )
| ! [X34] :
( ~ ! [X35] :
( ~ ( ( p16(X35)
& ~ p17(X35) )
| ( ~ p16(X35)
& p17(X35) ) )
| ~ r1(X34,X35) )
| ! [X36] :
( ~ ! [X37] :
( ~ ( ( p17(X37)
& ~ p18(X37) )
| ( ~ p17(X37)
& p18(X37) ) )
| ~ r1(X36,X37) )
| ! [X38] :
( ~ ! [X39] :
( ~ ( ( p18(X39)
& ~ p19(X39) )
| ( ~ p18(X39)
& p19(X39) ) )
| ~ r1(X38,X39) )
| ! [X40] :
( ~ ! [X41] :
( ~ ( ( p19(X41)
& ~ p20(X41) )
| ( ~ p19(X41)
& p20(X41) ) )
| ~ r1(X40,X41) )
| ! [X42] :
( ~ ! [X43] :
( ~ ( ( p20(X43)
& ~ p21(X43) )
| ( ~ p20(X43)
& p21(X43) ) )
| ~ r1(X42,X43) )
| ! [X44] :
( ~ ! [X45] :
( ~ ( ( p21(X45)
& ~ p22(X45) )
| ( ~ p21(X45)
& p22(X45) ) )
| ~ r1(X44,X45) )
| ! [X46] :
( ~ ! [X47] :
( ~ ( ( p22(X47)
& ~ p23(X47) )
| ( ~ p22(X47)
& p23(X47) ) )
| ~ r1(X46,X47) )
| ! [X48] :
( ~ ! [X49] :
( ~ ( ( p23(X49)
& ~ p24(X49) )
| ( ~ p23(X49)
& p24(X49) ) )
| ~ r1(X48,X49) )
| ! [X50] :
( ~ ! [X51] :
( ~ ( ( p24(X51)
& ~ p25(X51) )
| ( ~ p24(X51)
& p25(X51) ) )
| ~ r1(X50,X51) )
| ! [X52] :
( ~ ! [X53] :
( ~ ( ( p25(X53)
& ~ p26(X53) )
| ( ~ p25(X53)
& p26(X53) ) )
| ~ r1(X52,X53) )
| ! [X54] :
( ~ ! [X55] :
( ~ ( ( p26(X55)
& ~ p27(X55) )
| ( ~ p26(X55)
& p27(X55) ) )
| ~ r1(X54,X55) )
| ! [X56] :
( ~ ! [X57] :
( ~ ( ( p27(X57)
& ~ p28(X57) )
| ( ~ p27(X57)
& p28(X57) ) )
| ~ r1(X56,X57) )
| ! [X58] :
( ~ ! [X59] :
( ~ ( ( p28(X59)
& ~ p29(X59) )
| ( ~ p28(X59)
& p29(X59) ) )
| ~ r1(X58,X59) )
| ! [X60] :
( ~ ! [X61] :
( ~ ( ( p29(X61)
& ~ p30(X61) )
| ( ~ p29(X61)
& p30(X61) ) )
| ~ r1(X60,X61) )
| ! [X62] :
( ~ ! [X63] :
( ~ ( ( p30(X63)
& ~ p31(X63) )
| ( ~ p30(X63)
& p31(X63) ) )
| ~ r1(X62,X63) )
| ! [X64] :
( ~ ! [X65] :
( ~ ( ( p31(X65)
& ~ p32(X65) )
| ( ~ p31(X65)
& p32(X65) ) )
| ~ r1(X64,X65) )
| ! [X66] :
( ~ ! [X67] :
( ~ ( ( p32(X67)
& ~ p33(X67) )
| ( ~ p32(X67)
& p33(X67) ) )
| ~ r1(X66,X67) )
| ! [X68] :
( ~ ! [X69] :
( ~ ( ( p33(X69)
& ~ p34(X69) )
| ( ~ p33(X69)
& p34(X69) ) )
| ~ r1(X68,X69) )
| ! [X70] :
( ~ ! [X71] :
( ~ ( ( p34(X71)
& ~ p35(X71) )
| ( ~ p34(X71)
& p35(X71) ) )
| ~ r1(X70,X71) )
| ! [X72] :
( ~ ! [X73] :
( ~ ( ( p35(X73)
& ~ p36(X73) )
| ( ~ p35(X73)
& p36(X73) ) )
| ~ r1(X72,X73) )
| ! [X74] :
( ~ ! [X75] :
( ~ ( ( p36(X75)
& ~ p37(X75) )
| ( ~ p36(X75)
& p37(X75) ) )
| ~ r1(X74,X75) )
| ! [X76] :
( ~ ! [X77] :
( ~ ( ( p37(X77)
& ~ p38(X77) )
| ( ~ p37(X77)
& p38(X77) ) )
| ~ r1(X76,X77) )
| ! [X78] :
( ~ ! [X79] :
( ~ ( ( p38(X79)
& ~ p39(X79) )
| ( ~ p38(X79)
& p39(X79) ) )
| ~ r1(X78,X79) )
| ! [X80] :
( ~ ! [X81] :
( ~ ( ( p39(X81)
& ~ p40(X81) )
| ( ~ p39(X81)
& p40(X81) ) )
| ~ r1(X80,X81) )
| ! [X82] :
( ~ ! [X83] :
( ~ ( ( p40(X83)
& ~ p41(X83) )
| ( ~ p40(X83)
& p41(X83) ) )
| ~ r1(X82,X83) )
| ! [X84] :
( ~ ! [X85] :
( ~ ( ( p41(X85)
& ~ p42(X85) )
| ( ~ p41(X85)
& p42(X85) ) )
| ~ r1(X84,X85) )
| ! [X86] :
( ~ ! [X87] :
( ~ ( ( p42(X87)
& ~ p43(X87) )
| ( ~ p42(X87)
& p43(X87) ) )
| ~ r1(X86,X87) )
| ! [X88] :
( ~ ! [X89] :
( ~ ( ( p43(X89)
& ~ p44(X89) )
| ( ~ p43(X89)
& p44(X89) ) )
| ~ r1(X88,X89) )
| ! [X90] :
( ~ ! [X91] :
( ~ ( ( p44(X91)
& ~ p45(X91) )
| ( ~ p44(X91)
& p45(X91) ) )
| ~ r1(X90,X91) )
| ! [X92] :
( ~ ! [X93] :
( ~ ( ( p45(X93)
& ~ p46(X93) )
| ( ~ p45(X93)
& p46(X93) ) )
| ~ r1(X92,X93) )
| ! [X94] :
( ~ ! [X95] :
( ~ ( ( p46(X95)
& ~ p47(X95) )
| ( ~ p46(X95)
& p47(X95) ) )
| ~ r1(X94,X95) )
| ! [X96] :
( ~ ! [X97] :
( ~ ( ( p47(X97)
& ~ p48(X97) )
| ( ~ p47(X97)
& p48(X97) ) )
| ~ r1(X96,X97) )
| ! [X98] :
( ~ ! [X99] :
( ~ ( ( p48(X99)
& ~ p49(X99) )
| ( ~ p48(X99)
& p49(X99) ) )
| ~ r1(X98,X99) )
| ! [X100] :
( ~ ! [X101] :
( ~ ( ( p49(X101)
& ~ p50(X101) )
| ( ~ p49(X101)
& p50(X101) ) )
| ~ r1(X100,X101) )
| ! [X102] :
( ~ ! [X103] :
( ~ ( ( p50(X103)
& ~ p51(X103) )
| ( ~ p50(X103)
& p51(X103) ) )
| ~ r1(X102,X103) )
| ! [X104] :
( ~ ! [X105] :
( ~ ( ( p51(X105)
& ~ p52(X105) )
| ( ~ p51(X105)
& p52(X105) ) )
| ~ r1(X104,X105) )
| ! [X106] :
( ~ ! [X107] :
( ~ ( ( p52(X107)
& ~ p53(X107) )
| ( ~ p52(X107)
& p53(X107) ) )
| ~ r1(X106,X107) )
| ! [X108] :
( ~ ! [X109] :
( ~ ( ( p53(X109)
& ~ p54(X109) )
| ( ~ p53(X109)
& p54(X109) ) )
| ~ r1(X108,X109) )
| ! [X110] :
( ~ ! [X111] :
( ~ ( ( p54(X111)
& ~ p55(X111) )
| ( ~ p54(X111)
& p55(X111) ) )
| ~ r1(X110,X111) )
| ! [X112] :
( ~ ! [X113] :
( ~ ( ( p55(X113)
& ~ p56(X113) )
| ( ~ p55(X113)
& p56(X113) ) )
| ~ r1(X112,X113) )
| ! [X114] :
( ~ ! [X115] :
( ~ ( ( p56(X115)
& ~ p57(X115) )
| ( ~ p56(X115)
& p57(X115) ) )
| ~ r1(X114,X115) )
| ! [X116] :
( ~ ! [X117] :
( ~ ( ( p57(X117)
& ~ p58(X117) )
| ( ~ p57(X117)
& p58(X117) ) )
| ~ r1(X116,X117) )
| ! [X118] :
( ~ ! [X119] :
( ~ ( ( p58(X119)
& ~ p59(X119) )
| ( ~ p58(X119)
& p59(X119) ) )
| ~ r1(X118,X119) )
| ! [X120] : ~ r1(X118,X120)
| ~ r1(X116,X118) )
| ~ r1(X114,X116) )
| ~ r1(X112,X114) )
| ~ r1(X110,X112) )
| ~ r1(X108,X110) )
| ~ r1(X106,X108) )
| ~ r1(X104,X106) )
| ~ r1(X102,X104) )
| ~ r1(X100,X102) )
| ~ r1(X98,X100) )
| ~ r1(X96,X98) )
| ~ r1(X94,X96) )
| ~ r1(X92,X94) )
| ~ r1(X90,X92) )
| ~ r1(X88,X90) )
| ~ r1(X86,X88) )
| ~ r1(X84,X86) )
| ~ r1(X82,X84) )
| ~ r1(X80,X82) )
| ~ r1(X78,X80) )
| ~ r1(X76,X78) )
| ~ r1(X74,X76) )
| ~ r1(X72,X74) )
| ~ r1(X70,X72) )
| ~ r1(X68,X70) )
| ~ r1(X66,X68) )
| ~ r1(X64,X66) )
| ~ r1(X62,X64) )
| ~ r1(X60,X62) )
| ~ r1(X58,X60) )
| ~ r1(X56,X58) )
| ~ r1(X54,X56) )
| ~ r1(X52,X54) )
| ~ r1(X50,X52) )
| ~ r1(X48,X50) )
| ~ r1(X46,X48) )
| ~ r1(X44,X46) )
| ~ r1(X42,X44) )
| ~ r1(X40,X42) )
| ~ r1(X38,X40) )
| ~ r1(X36,X38) )
| ~ r1(X34,X36) )
| ~ r1(X32,X34) )
| ~ r1(X30,X32) )
| ~ r1(X28,X30) )
| ~ r1(X26,X28) )
| ~ r1(X24,X26) )
| ~ r1(X22,X24) )
| ~ r1(X20,X22) )
| ~ r1(X18,X20) )
| ~ r1(X16,X18) )
| ~ r1(X14,X16) )
| ~ r1(X12,X14) )
| ~ r1(X10,X12) )
| ~ r1(X8,X10) )
| ~ r1(X6,X8) )
| ~ r1(X2,X6) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ! [X121] :
( ! [X122] :
( ~ p1(X122)
| ~ r1(X121,X122) )
| ~ p60(X121)
| ~ r1(X0,X121) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ( ! [X3] :
( ( p1(X3)
& p2(X3) )
| ( ~ p2(X3)
& ~ p1(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p3(X3)
& p4(X3) )
| ( ~ p4(X3)
& ~ p3(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p6(X3)
& ~ p5(X3) )
| ( p6(X3)
& p7(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p7(X3)
& p8(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( p8(X3)
& p9(X3) )
| ( ~ p9(X3)
& ~ p8(X3) )
| ( p9(X3)
& p10(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p11(X3)
& p12(X3) )
| ( ~ p12(X3)
& ~ p11(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ( p14(X3)
& p15(X3) )
| ( ~ p15(X3)
& ~ p14(X3) )
| ( p15(X3)
& p16(X3) )
| ( ~ p16(X3)
& ~ p15(X3) )
| ( p16(X3)
& p17(X3) )
| ( ~ p17(X3)
& ~ p16(X3) )
| ( p17(X3)
& p18(X3) )
| ( ~ p18(X3)
& ~ p17(X3) )
| ( p18(X3)
& p19(X3) )
| ( ~ p19(X3)
& ~ p18(X3) )
| ( p19(X3)
& p20(X3) )
| ( ~ p20(X3)
& ~ p19(X3) )
| ( p20(X3)
& p21(X3) )
| ( ~ p21(X3)
& ~ p20(X3) )
| ( p21(X3)
& p22(X3) )
| ( ~ p22(X3)
& ~ p21(X3) )
| ( p22(X3)
& p23(X3) )
| ( ~ p23(X3)
& ~ p22(X3) )
| ( p23(X3)
& p24(X3) )
| ( ~ p24(X3)
& ~ p23(X3) )
| ( p24(X3)
& p25(X3) )
| ( ~ p25(X3)
& ~ p24(X3) )
| ( p25(X3)
& p26(X3) )
| ( ~ p26(X3)
& ~ p25(X3) )
| ( p26(X3)
& p27(X3) )
| ( ~ p27(X3)
& ~ p26(X3) )
| ( p27(X3)
& p28(X3) )
| ( ~ p28(X3)
& ~ p27(X3) )
| ( p28(X3)
& p29(X3) )
| ( ~ p29(X3)
& ~ p28(X3) )
| ( p29(X3)
& p30(X3) )
| ( ~ p30(X3)
& ~ p29(X3) )
| ( p30(X3)
& p31(X3) )
| ( ~ p31(X3)
& ~ p30(X3) )
| ( p31(X3)
& p32(X3) )
| ( ~ p32(X3)
& ~ p31(X3) )
| ( p32(X3)
& p33(X3) )
| ( ~ p33(X3)
& ~ p32(X3) )
| ( p33(X3)
& p34(X3) )
| ( ~ p34(X3)
& ~ p33(X3) )
| ( p34(X3)
& p35(X3) )
| ( ~ p35(X3)
& ~ p34(X3) )
| ( p35(X3)
& p36(X3) )
| ( ~ p36(X3)
& ~ p35(X3) )
| ( p36(X3)
& p37(X3) )
| ( ~ p37(X3)
& ~ p36(X3) )
| ( p37(X3)
& p38(X3) )
| ( ~ p38(X3)
& ~ p37(X3) )
| ( p38(X3)
& p39(X3) )
| ( ~ p39(X3)
& ~ p38(X3) )
| ( p39(X3)
& p40(X3) )
| ( ~ p40(X3)
& ~ p39(X3) )
| ( p40(X3)
& p41(X3) )
| ( ~ p41(X3)
& ~ p40(X3) )
| ( p41(X3)
& p42(X3) )
| ( ~ p42(X3)
& ~ p41(X3) )
| ( p42(X3)
& p43(X3) )
| ( ~ p43(X3)
& ~ p42(X3) )
| ( p43(X3)
& p44(X3) )
| ( ~ p44(X3)
& ~ p43(X3) )
| ( p44(X3)
& p45(X3) )
| ( ~ p45(X3)
& ~ p44(X3) )
| ( p45(X3)
& p46(X3) )
| ( ~ p46(X3)
& ~ p45(X3) )
| ( p46(X3)
& p47(X3) )
| ( ~ p47(X3)
& ~ p46(X3) )
| ( p47(X3)
& p48(X3) )
| ( ~ p48(X3)
& ~ p47(X3) )
| ( p48(X3)
& p49(X3) )
| ( ~ p49(X3)
& ~ p48(X3) )
| ( p49(X3)
& p50(X3) )
| ( ~ p50(X3)
& ~ p49(X3) )
| ( p50(X3)
& p51(X3) )
| ( ~ p51(X3)
& ~ p50(X3) )
| ( p51(X3)
& p52(X3) )
| ( ~ p52(X3)
& ~ p51(X3) )
| ( p52(X3)
& p53(X3) )
| ( ~ p53(X3)
& ~ p52(X3) )
| ( p53(X3)
& p54(X3) )
| ( ~ p54(X3)
& ~ p53(X3) )
| ( p54(X3)
& p55(X3) )
| ( ~ p55(X3)
& ~ p54(X3) )
| ( p55(X3)
& p56(X3) )
| ( ~ p56(X3)
& ~ p55(X3) )
| ( p56(X3)
& p57(X3) )
| ( ~ p57(X3)
& ~ p56(X3) )
| ( p57(X3)
& p58(X3) )
| ( ~ p58(X3)
& ~ p57(X3) )
| ( p58(X3)
& p59(X3) )
| ( ~ p59(X3)
& ~ p58(X3) )
| ~ r1(X2,X3) )
| ! [X4] :
( p60(X4)
| ~ r1(X2,X4) )
| ~ ! [X5] :
( ~ ( ( p1(X5)
& ~ p2(X5) )
| ( ~ p1(X5)
& p2(X5) ) )
| ~ r1(X2,X5) )
| ! [X6] :
( ~ ! [X7] :
( ~ ( ( p2(X7)
& ~ p3(X7) )
| ( ~ p2(X7)
& p3(X7) ) )
| ~ r1(X6,X7) )
| ! [X8] :
( ~ ! [X9] :
( ~ ( ( p3(X9)
& ~ p4(X9) )
| ( ~ p3(X9)
& p4(X9) ) )
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( ~ ( ( p4(X11)
& ~ p5(X11) )
| ( ~ p4(X11)
& p5(X11) ) )
| ~ r1(X10,X11) )
| ! [X12] :
( ~ ! [X13] :
( ~ ( ( p5(X13)
& ~ p6(X13) )
| ( ~ p5(X13)
& p6(X13) ) )
| ~ r1(X12,X13) )
| ! [X14] :
( ~ ! [X15] :
( ~ ( ( p6(X15)
& ~ p7(X15) )
| ( ~ p6(X15)
& p7(X15) ) )
| ~ r1(X14,X15) )
| ! [X16] :
( ~ ! [X17] :
( ~ ( ( p7(X17)
& ~ p8(X17) )
| ( ~ p7(X17)
& p8(X17) ) )
| ~ r1(X16,X17) )
| ! [X18] :
( ~ ! [X19] :
( ~ ( ( p8(X19)
& ~ p9(X19) )
| ( ~ p8(X19)
& p9(X19) ) )
| ~ r1(X18,X19) )
| ! [X20] :
( ~ ! [X21] :
( ~ ( ( p9(X21)
& ~ p10(X21) )
| ( ~ p9(X21)
& p10(X21) ) )
| ~ r1(X20,X21) )
| ! [X22] :
( ~ ! [X23] :
( ~ ( ( p10(X23)
& ~ p11(X23) )
| ( ~ p10(X23)
& p11(X23) ) )
| ~ r1(X22,X23) )
| ! [X24] :
( ~ ! [X25] :
( ~ ( ( p11(X25)
& ~ p12(X25) )
| ( ~ p11(X25)
& p12(X25) ) )
| ~ r1(X24,X25) )
| ! [X26] :
( ~ ! [X27] :
( ~ ( ( p12(X27)
& ~ p13(X27) )
| ( ~ p12(X27)
& p13(X27) ) )
| ~ r1(X26,X27) )
| ! [X28] :
( ~ ! [X29] :
( ~ ( ( p13(X29)
& ~ p14(X29) )
| ( ~ p13(X29)
& p14(X29) ) )
| ~ r1(X28,X29) )
| ! [X30] :
( ~ ! [X31] :
( ~ ( ( p14(X31)
& ~ p15(X31) )
| ( ~ p14(X31)
& p15(X31) ) )
| ~ r1(X30,X31) )
| ! [X32] :
( ~ ! [X33] :
( ~ ( ( p15(X33)
& ~ p16(X33) )
| ( ~ p15(X33)
& p16(X33) ) )
| ~ r1(X32,X33) )
| ! [X34] :
( ~ ! [X35] :
( ~ ( ( p16(X35)
& ~ p17(X35) )
| ( ~ p16(X35)
& p17(X35) ) )
| ~ r1(X34,X35) )
| ! [X36] :
( ~ ! [X37] :
( ~ ( ( p17(X37)
& ~ p18(X37) )
| ( ~ p17(X37)
& p18(X37) ) )
| ~ r1(X36,X37) )
| ! [X38] :
( ~ ! [X39] :
( ~ ( ( p18(X39)
& ~ p19(X39) )
| ( ~ p18(X39)
& p19(X39) ) )
| ~ r1(X38,X39) )
| ! [X40] :
( ~ ! [X41] :
( ~ ( ( p19(X41)
& ~ p20(X41) )
| ( ~ p19(X41)
& p20(X41) ) )
| ~ r1(X40,X41) )
| ! [X42] :
( ~ ! [X43] :
( ~ ( ( p20(X43)
& ~ p21(X43) )
| ( ~ p20(X43)
& p21(X43) ) )
| ~ r1(X42,X43) )
| ! [X44] :
( ~ ! [X45] :
( ~ ( ( p21(X45)
& ~ p22(X45) )
| ( ~ p21(X45)
& p22(X45) ) )
| ~ r1(X44,X45) )
| ! [X46] :
( ~ ! [X47] :
( ~ ( ( p22(X47)
& ~ p23(X47) )
| ( ~ p22(X47)
& p23(X47) ) )
| ~ r1(X46,X47) )
| ! [X48] :
( ~ ! [X49] :
( ~ ( ( p23(X49)
& ~ p24(X49) )
| ( ~ p23(X49)
& p24(X49) ) )
| ~ r1(X48,X49) )
| ! [X50] :
( ~ ! [X51] :
( ~ ( ( p24(X51)
& ~ p25(X51) )
| ( ~ p24(X51)
& p25(X51) ) )
| ~ r1(X50,X51) )
| ! [X52] :
( ~ ! [X53] :
( ~ ( ( p25(X53)
& ~ p26(X53) )
| ( ~ p25(X53)
& p26(X53) ) )
| ~ r1(X52,X53) )
| ! [X54] :
( ~ ! [X55] :
( ~ ( ( p26(X55)
& ~ p27(X55) )
| ( ~ p26(X55)
& p27(X55) ) )
| ~ r1(X54,X55) )
| ! [X56] :
( ~ ! [X57] :
( ~ ( ( p27(X57)
& ~ p28(X57) )
| ( ~ p27(X57)
& p28(X57) ) )
| ~ r1(X56,X57) )
| ! [X58] :
( ~ ! [X59] :
( ~ ( ( p28(X59)
& ~ p29(X59) )
| ( ~ p28(X59)
& p29(X59) ) )
| ~ r1(X58,X59) )
| ! [X60] :
( ~ ! [X61] :
( ~ ( ( p29(X61)
& ~ p30(X61) )
| ( ~ p29(X61)
& p30(X61) ) )
| ~ r1(X60,X61) )
| ! [X62] :
( ~ ! [X63] :
( ~ ( ( p30(X63)
& ~ p31(X63) )
| ( ~ p30(X63)
& p31(X63) ) )
| ~ r1(X62,X63) )
| ! [X64] :
( ~ ! [X65] :
( ~ ( ( p31(X65)
& ~ p32(X65) )
| ( ~ p31(X65)
& p32(X65) ) )
| ~ r1(X64,X65) )
| ! [X66] :
( ~ ! [X67] :
( ~ ( ( p32(X67)
& ~ p33(X67) )
| ( ~ p32(X67)
& p33(X67) ) )
| ~ r1(X66,X67) )
| ! [X68] :
( ~ ! [X69] :
( ~ ( ( p33(X69)
& ~ p34(X69) )
| ( ~ p33(X69)
& p34(X69) ) )
| ~ r1(X68,X69) )
| ! [X70] :
( ~ ! [X71] :
( ~ ( ( p34(X71)
& ~ p35(X71) )
| ( ~ p34(X71)
& p35(X71) ) )
| ~ r1(X70,X71) )
| ! [X72] :
( ~ ! [X73] :
( ~ ( ( p35(X73)
& ~ p36(X73) )
| ( ~ p35(X73)
& p36(X73) ) )
| ~ r1(X72,X73) )
| ! [X74] :
( ~ ! [X75] :
( ~ ( ( p36(X75)
& ~ p37(X75) )
| ( ~ p36(X75)
& p37(X75) ) )
| ~ r1(X74,X75) )
| ! [X76] :
( ~ ! [X77] :
( ~ ( ( p37(X77)
& ~ p38(X77) )
| ( ~ p37(X77)
& p38(X77) ) )
| ~ r1(X76,X77) )
| ! [X78] :
( ~ ! [X79] :
( ~ ( ( p38(X79)
& ~ p39(X79) )
| ( ~ p38(X79)
& p39(X79) ) )
| ~ r1(X78,X79) )
| ! [X80] :
( ~ ! [X81] :
( ~ ( ( p39(X81)
& ~ p40(X81) )
| ( ~ p39(X81)
& p40(X81) ) )
| ~ r1(X80,X81) )
| ! [X82] :
( ~ ! [X83] :
( ~ ( ( p40(X83)
& ~ p41(X83) )
| ( ~ p40(X83)
& p41(X83) ) )
| ~ r1(X82,X83) )
| ! [X84] :
( ~ ! [X85] :
( ~ ( ( p41(X85)
& ~ p42(X85) )
| ( ~ p41(X85)
& p42(X85) ) )
| ~ r1(X84,X85) )
| ! [X86] :
( ~ ! [X87] :
( ~ ( ( p42(X87)
& ~ p43(X87) )
| ( ~ p42(X87)
& p43(X87) ) )
| ~ r1(X86,X87) )
| ! [X88] :
( ~ ! [X89] :
( ~ ( ( p43(X89)
& ~ p44(X89) )
| ( ~ p43(X89)
& p44(X89) ) )
| ~ r1(X88,X89) )
| ! [X90] :
( ~ ! [X91] :
( ~ ( ( p44(X91)
& ~ p45(X91) )
| ( ~ p44(X91)
& p45(X91) ) )
| ~ r1(X90,X91) )
| ! [X92] :
( ~ ! [X93] :
( ~ ( ( p45(X93)
& ~ p46(X93) )
| ( ~ p45(X93)
& p46(X93) ) )
| ~ r1(X92,X93) )
| ! [X94] :
( ~ ! [X95] :
( ~ ( ( p46(X95)
& ~ p47(X95) )
| ( ~ p46(X95)
& p47(X95) ) )
| ~ r1(X94,X95) )
| ! [X96] :
( ~ ! [X97] :
( ~ ( ( p47(X97)
& ~ p48(X97) )
| ( ~ p47(X97)
& p48(X97) ) )
| ~ r1(X96,X97) )
| ! [X98] :
( ~ ! [X99] :
( ~ ( ( p48(X99)
& ~ p49(X99) )
| ( ~ p48(X99)
& p49(X99) ) )
| ~ r1(X98,X99) )
| ! [X100] :
( ~ ! [X101] :
( ~ ( ( p49(X101)
& ~ p50(X101) )
| ( ~ p49(X101)
& p50(X101) ) )
| ~ r1(X100,X101) )
| ! [X102] :
( ~ ! [X103] :
( ~ ( ( p50(X103)
& ~ p51(X103) )
| ( ~ p50(X103)
& p51(X103) ) )
| ~ r1(X102,X103) )
| ! [X104] :
( ~ ! [X105] :
( ~ ( ( p51(X105)
& ~ p52(X105) )
| ( ~ p51(X105)
& p52(X105) ) )
| ~ r1(X104,X105) )
| ! [X106] :
( ~ ! [X107] :
( ~ ( ( p52(X107)
& ~ p53(X107) )
| ( ~ p52(X107)
& p53(X107) ) )
| ~ r1(X106,X107) )
| ! [X108] :
( ~ ! [X109] :
( ~ ( ( p53(X109)
& ~ p54(X109) )
| ( ~ p53(X109)
& p54(X109) ) )
| ~ r1(X108,X109) )
| ! [X110] :
( ~ ! [X111] :
( ~ ( ( p54(X111)
& ~ p55(X111) )
| ( ~ p54(X111)
& p55(X111) ) )
| ~ r1(X110,X111) )
| ! [X112] :
( ~ ! [X113] :
( ~ ( ( p55(X113)
& ~ p56(X113) )
| ( ~ p55(X113)
& p56(X113) ) )
| ~ r1(X112,X113) )
| ! [X114] :
( ~ ! [X115] :
( ~ ( ( p56(X115)
& ~ p57(X115) )
| ( ~ p56(X115)
& p57(X115) ) )
| ~ r1(X114,X115) )
| ! [X116] :
( ~ ! [X117] :
( ~ ( ( p57(X117)
& ~ p58(X117) )
| ( ~ p57(X117)
& p58(X117) ) )
| ~ r1(X116,X117) )
| ! [X118] :
( ~ ! [X119] :
( ~ ( ( p58(X119)
& ~ p59(X119) )
| ( ~ p58(X119)
& p59(X119) ) )
| ~ r1(X118,X119) )
| ! [X120] : ~ r1(X118,X120)
| ~ r1(X116,X118) )
| ~ r1(X114,X116) )
| ~ r1(X112,X114) )
| ~ r1(X110,X112) )
| ~ r1(X108,X110) )
| ~ r1(X106,X108) )
| ~ r1(X104,X106) )
| ~ r1(X102,X104) )
| ~ r1(X100,X102) )
| ~ r1(X98,X100) )
| ~ r1(X96,X98) )
| ~ r1(X94,X96) )
| ~ r1(X92,X94) )
| ~ r1(X90,X92) )
| ~ r1(X88,X90) )
| ~ r1(X86,X88) )
| ~ r1(X84,X86) )
| ~ r1(X82,X84) )
| ~ r1(X80,X82) )
| ~ r1(X78,X80) )
| ~ r1(X76,X78) )
| ~ r1(X74,X76) )
| ~ r1(X72,X74) )
| ~ r1(X70,X72) )
| ~ r1(X68,X70) )
| ~ r1(X66,X68) )
| ~ r1(X64,X66) )
| ~ r1(X62,X64) )
| ~ r1(X60,X62) )
| ~ r1(X58,X60) )
| ~ r1(X56,X58) )
| ~ r1(X54,X56) )
| ~ r1(X52,X54) )
| ~ r1(X50,X52) )
| ~ r1(X48,X50) )
| ~ r1(X46,X48) )
| ~ r1(X44,X46) )
| ~ r1(X42,X44) )
| ~ r1(X40,X42) )
| ~ r1(X38,X40) )
| ~ r1(X36,X38) )
| ~ r1(X34,X36) )
| ~ r1(X32,X34) )
| ~ r1(X30,X32) )
| ~ r1(X28,X30) )
| ~ r1(X26,X28) )
| ~ r1(X24,X26) )
| ~ r1(X22,X24) )
| ~ r1(X20,X22) )
| ~ r1(X18,X20) )
| ~ r1(X16,X18) )
| ~ r1(X14,X16) )
| ~ r1(X12,X14) )
| ~ r1(X10,X12) )
| ~ r1(X8,X10) )
| ~ r1(X6,X8) )
| ~ r1(X2,X6) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ! [X121] :
( ! [X122] :
( ~ p1(X122)
| ~ r1(X121,X122) )
| ~ p60(X121)
| ~ r1(X0,X121) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ( ! [X3] :
( ( p1(X3)
& p2(X3) )
| ( ~ p2(X3)
& ~ p1(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p3(X3)
& p4(X3) )
| ( ~ p4(X3)
& ~ p3(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p6(X3)
& ~ p5(X3) )
| ( p6(X3)
& p7(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p7(X3)
& p8(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( p8(X3)
& p9(X3) )
| ( ~ p9(X3)
& ~ p8(X3) )
| ( p9(X3)
& p10(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p11(X3)
& p12(X3) )
| ( ~ p12(X3)
& ~ p11(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ( p14(X3)
& p15(X3) )
| ( ~ p15(X3)
& ~ p14(X3) )
| ( p15(X3)
& p16(X3) )
| ( ~ p16(X3)
& ~ p15(X3) )
| ( p16(X3)
& p17(X3) )
| ( ~ p17(X3)
& ~ p16(X3) )
| ( p17(X3)
& p18(X3) )
| ( ~ p18(X3)
& ~ p17(X3) )
| ( p18(X3)
& p19(X3) )
| ( ~ p19(X3)
& ~ p18(X3) )
| ( p19(X3)
& p20(X3) )
| ( ~ p20(X3)
& ~ p19(X3) )
| ( p20(X3)
& p21(X3) )
| ( ~ p21(X3)
& ~ p20(X3) )
| ( p21(X3)
& p22(X3) )
| ( ~ p22(X3)
& ~ p21(X3) )
| ( p22(X3)
& p23(X3) )
| ( ~ p23(X3)
& ~ p22(X3) )
| ( p23(X3)
& p24(X3) )
| ( ~ p24(X3)
& ~ p23(X3) )
| ( p24(X3)
& p25(X3) )
| ( ~ p25(X3)
& ~ p24(X3) )
| ( p25(X3)
& p26(X3) )
| ( ~ p26(X3)
& ~ p25(X3) )
| ( p26(X3)
& p27(X3) )
| ( ~ p27(X3)
& ~ p26(X3) )
| ( p27(X3)
& p28(X3) )
| ( ~ p28(X3)
& ~ p27(X3) )
| ( p28(X3)
& p29(X3) )
| ( ~ p29(X3)
& ~ p28(X3) )
| ( p29(X3)
& p30(X3) )
| ( ~ p30(X3)
& ~ p29(X3) )
| ( p30(X3)
& p31(X3) )
| ( ~ p31(X3)
& ~ p30(X3) )
| ( p31(X3)
& p32(X3) )
| ( ~ p32(X3)
& ~ p31(X3) )
| ( p32(X3)
& p33(X3) )
| ( ~ p33(X3)
& ~ p32(X3) )
| ( p33(X3)
& p34(X3) )
| ( ~ p34(X3)
& ~ p33(X3) )
| ( p34(X3)
& p35(X3) )
| ( ~ p35(X3)
& ~ p34(X3) )
| ( p35(X3)
& p36(X3) )
| ( ~ p36(X3)
& ~ p35(X3) )
| ( p36(X3)
& p37(X3) )
| ( ~ p37(X3)
& ~ p36(X3) )
| ( p37(X3)
& p38(X3) )
| ( ~ p38(X3)
& ~ p37(X3) )
| ( p38(X3)
& p39(X3) )
| ( ~ p39(X3)
& ~ p38(X3) )
| ( p39(X3)
& p40(X3) )
| ( ~ p40(X3)
& ~ p39(X3) )
| ( p40(X3)
& p41(X3) )
| ( ~ p41(X3)
& ~ p40(X3) )
| ( p41(X3)
& p42(X3) )
| ( ~ p42(X3)
& ~ p41(X3) )
| ( p42(X3)
& p43(X3) )
| ( ~ p43(X3)
& ~ p42(X3) )
| ( p43(X3)
& p44(X3) )
| ( ~ p44(X3)
& ~ p43(X3) )
| ( p44(X3)
& p45(X3) )
| ( ~ p45(X3)
& ~ p44(X3) )
| ( p45(X3)
& p46(X3) )
| ( ~ p46(X3)
& ~ p45(X3) )
| ( p46(X3)
& p47(X3) )
| ( ~ p47(X3)
& ~ p46(X3) )
| ( p47(X3)
& p48(X3) )
| ( ~ p48(X3)
& ~ p47(X3) )
| ( p48(X3)
& p49(X3) )
| ( ~ p49(X3)
& ~ p48(X3) )
| ( p49(X3)
& p50(X3) )
| ( ~ p50(X3)
& ~ p49(X3) )
| ( p50(X3)
& p51(X3) )
| ( ~ p51(X3)
& ~ p50(X3) )
| ( p51(X3)
& p52(X3) )
| ( ~ p52(X3)
& ~ p51(X3) )
| ( p52(X3)
& p53(X3) )
| ( ~ p53(X3)
& ~ p52(X3) )
| ( p53(X3)
& p54(X3) )
| ( ~ p54(X3)
& ~ p53(X3) )
| ( p54(X3)
& p55(X3) )
| ( ~ p55(X3)
& ~ p54(X3) )
| ( p55(X3)
& p56(X3) )
| ( ~ p56(X3)
& ~ p55(X3) )
| ( p56(X3)
& p57(X3) )
| ( ~ p57(X3)
& ~ p56(X3) )
| ( p57(X3)
& p58(X3) )
| ( ~ p58(X3)
& ~ p57(X3) )
| ( p58(X3)
& p59(X3) )
| ( ~ p59(X3)
& ~ p58(X3) )
| ~ r1(X2,X3) )
| ! [X4] :
( p60(X4)
| ~ r1(X2,X4) )
| ~ ! [X5] :
( ~ ( ( p1(X5)
& ~ p2(X5) )
| ( ~ p1(X5)
& p2(X5) ) )
| ~ r1(X2,X5) )
| ! [X6] :
( ~ ! [X7] :
( ~ ( ( p2(X7)
& ~ p3(X7) )
| ( ~ p2(X7)
& p3(X7) ) )
| ~ r1(X6,X7) )
| ! [X8] :
( ~ ! [X9] :
( ~ ( ( p3(X9)
& ~ p4(X9) )
| ( ~ p3(X9)
& p4(X9) ) )
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( ~ ( ( p4(X11)
& ~ p5(X11) )
| ( ~ p4(X11)
& p5(X11) ) )
| ~ r1(X10,X11) )
| ! [X12] :
( ~ ! [X13] :
( ~ ( ( p5(X13)
& ~ p6(X13) )
| ( ~ p5(X13)
& p6(X13) ) )
| ~ r1(X12,X13) )
| ! [X14] :
( ~ ! [X15] :
( ~ ( ( p6(X15)
& ~ p7(X15) )
| ( ~ p6(X15)
& p7(X15) ) )
| ~ r1(X14,X15) )
| ! [X16] :
( ~ ! [X17] :
( ~ ( ( p7(X17)
& ~ p8(X17) )
| ( ~ p7(X17)
& p8(X17) ) )
| ~ r1(X16,X17) )
| ! [X18] :
( ~ ! [X19] :
( ~ ( ( p8(X19)
& ~ p9(X19) )
| ( ~ p8(X19)
& p9(X19) ) )
| ~ r1(X18,X19) )
| ! [X20] :
( ~ ! [X21] :
( ~ ( ( p9(X21)
& ~ p10(X21) )
| ( ~ p9(X21)
& p10(X21) ) )
| ~ r1(X20,X21) )
| ! [X22] :
( ~ ! [X23] :
( ~ ( ( p10(X23)
& ~ p11(X23) )
| ( ~ p10(X23)
& p11(X23) ) )
| ~ r1(X22,X23) )
| ! [X24] :
( ~ ! [X25] :
( ~ ( ( p11(X25)
& ~ p12(X25) )
| ( ~ p11(X25)
& p12(X25) ) )
| ~ r1(X24,X25) )
| ! [X26] :
( ~ ! [X27] :
( ~ ( ( p12(X27)
& ~ p13(X27) )
| ( ~ p12(X27)
& p13(X27) ) )
| ~ r1(X26,X27) )
| ! [X28] :
( ~ ! [X29] :
( ~ ( ( p13(X29)
& ~ p14(X29) )
| ( ~ p13(X29)
& p14(X29) ) )
| ~ r1(X28,X29) )
| ! [X30] :
( ~ ! [X31] :
( ~ ( ( p14(X31)
& ~ p15(X31) )
| ( ~ p14(X31)
& p15(X31) ) )
| ~ r1(X30,X31) )
| ! [X32] :
( ~ ! [X33] :
( ~ ( ( p15(X33)
& ~ p16(X33) )
| ( ~ p15(X33)
& p16(X33) ) )
| ~ r1(X32,X33) )
| ! [X34] :
( ~ ! [X35] :
( ~ ( ( p16(X35)
& ~ p17(X35) )
| ( ~ p16(X35)
& p17(X35) ) )
| ~ r1(X34,X35) )
| ! [X36] :
( ~ ! [X37] :
( ~ ( ( p17(X37)
& ~ p18(X37) )
| ( ~ p17(X37)
& p18(X37) ) )
| ~ r1(X36,X37) )
| ! [X38] :
( ~ ! [X39] :
( ~ ( ( p18(X39)
& ~ p19(X39) )
| ( ~ p18(X39)
& p19(X39) ) )
| ~ r1(X38,X39) )
| ! [X40] :
( ~ ! [X41] :
( ~ ( ( p19(X41)
& ~ p20(X41) )
| ( ~ p19(X41)
& p20(X41) ) )
| ~ r1(X40,X41) )
| ! [X42] :
( ~ ! [X43] :
( ~ ( ( p20(X43)
& ~ p21(X43) )
| ( ~ p20(X43)
& p21(X43) ) )
| ~ r1(X42,X43) )
| ! [X44] :
( ~ ! [X45] :
( ~ ( ( p21(X45)
& ~ p22(X45) )
| ( ~ p21(X45)
& p22(X45) ) )
| ~ r1(X44,X45) )
| ! [X46] :
( ~ ! [X47] :
( ~ ( ( p22(X47)
& ~ p23(X47) )
| ( ~ p22(X47)
& p23(X47) ) )
| ~ r1(X46,X47) )
| ! [X48] :
( ~ ! [X49] :
( ~ ( ( p23(X49)
& ~ p24(X49) )
| ( ~ p23(X49)
& p24(X49) ) )
| ~ r1(X48,X49) )
| ! [X50] :
( ~ ! [X51] :
( ~ ( ( p24(X51)
& ~ p25(X51) )
| ( ~ p24(X51)
& p25(X51) ) )
| ~ r1(X50,X51) )
| ! [X52] :
( ~ ! [X53] :
( ~ ( ( p25(X53)
& ~ p26(X53) )
| ( ~ p25(X53)
& p26(X53) ) )
| ~ r1(X52,X53) )
| ! [X54] :
( ~ ! [X55] :
( ~ ( ( p26(X55)
& ~ p27(X55) )
| ( ~ p26(X55)
& p27(X55) ) )
| ~ r1(X54,X55) )
| ! [X56] :
( ~ ! [X57] :
( ~ ( ( p27(X57)
& ~ p28(X57) )
| ( ~ p27(X57)
& p28(X57) ) )
| ~ r1(X56,X57) )
| ! [X58] :
( ~ ! [X59] :
( ~ ( ( p28(X59)
& ~ p29(X59) )
| ( ~ p28(X59)
& p29(X59) ) )
| ~ r1(X58,X59) )
| ! [X60] :
( ~ ! [X61] :
( ~ ( ( p29(X61)
& ~ p30(X61) )
| ( ~ p29(X61)
& p30(X61) ) )
| ~ r1(X60,X61) )
| ! [X62] :
( ~ ! [X63] :
( ~ ( ( p30(X63)
& ~ p31(X63) )
| ( ~ p30(X63)
& p31(X63) ) )
| ~ r1(X62,X63) )
| ! [X64] :
( ~ ! [X65] :
( ~ ( ( p31(X65)
& ~ p32(X65) )
| ( ~ p31(X65)
& p32(X65) ) )
| ~ r1(X64,X65) )
| ! [X66] :
( ~ ! [X67] :
( ~ ( ( p32(X67)
& ~ p33(X67) )
| ( ~ p32(X67)
& p33(X67) ) )
| ~ r1(X66,X67) )
| ! [X68] :
( ~ ! [X69] :
( ~ ( ( p33(X69)
& ~ p34(X69) )
| ( ~ p33(X69)
& p34(X69) ) )
| ~ r1(X68,X69) )
| ! [X70] :
( ~ ! [X71] :
( ~ ( ( p34(X71)
& ~ p35(X71) )
| ( ~ p34(X71)
& p35(X71) ) )
| ~ r1(X70,X71) )
| ! [X72] :
( ~ ! [X73] :
( ~ ( ( p35(X73)
& ~ p36(X73) )
| ( ~ p35(X73)
& p36(X73) ) )
| ~ r1(X72,X73) )
| ! [X74] :
( ~ ! [X75] :
( ~ ( ( p36(X75)
& ~ p37(X75) )
| ( ~ p36(X75)
& p37(X75) ) )
| ~ r1(X74,X75) )
| ! [X76] :
( ~ ! [X77] :
( ~ ( ( p37(X77)
& ~ p38(X77) )
| ( ~ p37(X77)
& p38(X77) ) )
| ~ r1(X76,X77) )
| ! [X78] :
( ~ ! [X79] :
( ~ ( ( p38(X79)
& ~ p39(X79) )
| ( ~ p38(X79)
& p39(X79) ) )
| ~ r1(X78,X79) )
| ! [X80] :
( ~ ! [X81] :
( ~ ( ( p39(X81)
& ~ p40(X81) )
| ( ~ p39(X81)
& p40(X81) ) )
| ~ r1(X80,X81) )
| ! [X82] :
( ~ ! [X83] :
( ~ ( ( p40(X83)
& ~ p41(X83) )
| ( ~ p40(X83)
& p41(X83) ) )
| ~ r1(X82,X83) )
| ! [X84] :
( ~ ! [X85] :
( ~ ( ( p41(X85)
& ~ p42(X85) )
| ( ~ p41(X85)
& p42(X85) ) )
| ~ r1(X84,X85) )
| ! [X86] :
( ~ ! [X87] :
( ~ ( ( p42(X87)
& ~ p43(X87) )
| ( ~ p42(X87)
& p43(X87) ) )
| ~ r1(X86,X87) )
| ! [X88] :
( ~ ! [X89] :
( ~ ( ( p43(X89)
& ~ p44(X89) )
| ( ~ p43(X89)
& p44(X89) ) )
| ~ r1(X88,X89) )
| ! [X90] :
( ~ ! [X91] :
( ~ ( ( p44(X91)
& ~ p45(X91) )
| ( ~ p44(X91)
& p45(X91) ) )
| ~ r1(X90,X91) )
| ! [X92] :
( ~ ! [X93] :
( ~ ( ( p45(X93)
& ~ p46(X93) )
| ( ~ p45(X93)
& p46(X93) ) )
| ~ r1(X92,X93) )
| ! [X94] :
( ~ ! [X95] :
( ~ ( ( p46(X95)
& ~ p47(X95) )
| ( ~ p46(X95)
& p47(X95) ) )
| ~ r1(X94,X95) )
| ! [X96] :
( ~ ! [X97] :
( ~ ( ( p47(X97)
& ~ p48(X97) )
| ( ~ p47(X97)
& p48(X97) ) )
| ~ r1(X96,X97) )
| ! [X98] :
( ~ ! [X99] :
( ~ ( ( p48(X99)
& ~ p49(X99) )
| ( ~ p48(X99)
& p49(X99) ) )
| ~ r1(X98,X99) )
| ! [X100] :
( ~ ! [X101] :
( ~ ( ( p49(X101)
& ~ p50(X101) )
| ( ~ p49(X101)
& p50(X101) ) )
| ~ r1(X100,X101) )
| ! [X102] :
( ~ ! [X103] :
( ~ ( ( p50(X103)
& ~ p51(X103) )
| ( ~ p50(X103)
& p51(X103) ) )
| ~ r1(X102,X103) )
| ! [X104] :
( ~ ! [X105] :
( ~ ( ( p51(X105)
& ~ p52(X105) )
| ( ~ p51(X105)
& p52(X105) ) )
| ~ r1(X104,X105) )
| ! [X106] :
( ~ ! [X107] :
( ~ ( ( p52(X107)
& ~ p53(X107) )
| ( ~ p52(X107)
& p53(X107) ) )
| ~ r1(X106,X107) )
| ! [X108] :
( ~ ! [X109] :
( ~ ( ( p53(X109)
& ~ p54(X109) )
| ( ~ p53(X109)
& p54(X109) ) )
| ~ r1(X108,X109) )
| ! [X110] :
( ~ ! [X111] :
( ~ ( ( p54(X111)
& ~ p55(X111) )
| ( ~ p54(X111)
& p55(X111) ) )
| ~ r1(X110,X111) )
| ! [X112] :
( ~ ! [X113] :
( ~ ( ( p55(X113)
& ~ p56(X113) )
| ( ~ p55(X113)
& p56(X113) ) )
| ~ r1(X112,X113) )
| ! [X114] :
( ~ ! [X115] :
( ~ ( ( p56(X115)
& ~ p57(X115) )
| ( ~ p56(X115)
& p57(X115) ) )
| ~ r1(X114,X115) )
| ! [X116] :
( ~ ! [X117] :
( ~ ( ( p57(X117)
& ~ p58(X117) )
| ( ~ p57(X117)
& p58(X117) ) )
| ~ r1(X116,X117) )
| ! [X118] :
( ~ ! [X119] :
( ~ ( ( p58(X119)
& ~ p59(X119) )
| ( ~ p58(X119)
& p59(X119) ) )
| ~ r1(X118,X119) )
| ! [X120] :
( $false
| ~ r1(X118,X120) )
| ~ r1(X116,X118) )
| ~ r1(X114,X116) )
| ~ r1(X112,X114) )
| ~ r1(X110,X112) )
| ~ r1(X108,X110) )
| ~ r1(X106,X108) )
| ~ r1(X104,X106) )
| ~ r1(X102,X104) )
| ~ r1(X100,X102) )
| ~ r1(X98,X100) )
| ~ r1(X96,X98) )
| ~ r1(X94,X96) )
| ~ r1(X92,X94) )
| ~ r1(X90,X92) )
| ~ r1(X88,X90) )
| ~ r1(X86,X88) )
| ~ r1(X84,X86) )
| ~ r1(X82,X84) )
| ~ r1(X80,X82) )
| ~ r1(X78,X80) )
| ~ r1(X76,X78) )
| ~ r1(X74,X76) )
| ~ r1(X72,X74) )
| ~ r1(X70,X72) )
| ~ r1(X68,X70) )
| ~ r1(X66,X68) )
| ~ r1(X64,X66) )
| ~ r1(X62,X64) )
| ~ r1(X60,X62) )
| ~ r1(X58,X60) )
| ~ r1(X56,X58) )
| ~ r1(X54,X56) )
| ~ r1(X52,X54) )
| ~ r1(X50,X52) )
| ~ r1(X48,X50) )
| ~ r1(X46,X48) )
| ~ r1(X44,X46) )
| ~ r1(X42,X44) )
| ~ r1(X40,X42) )
| ~ r1(X38,X40) )
| ~ r1(X36,X38) )
| ~ r1(X34,X36) )
| ~ r1(X32,X34) )
| ~ r1(X30,X32) )
| ~ r1(X28,X30) )
| ~ r1(X26,X28) )
| ~ r1(X24,X26) )
| ~ r1(X22,X24) )
| ~ r1(X20,X22) )
| ~ r1(X18,X20) )
| ~ r1(X16,X18) )
| ~ r1(X14,X16) )
| ~ r1(X12,X14) )
| ~ r1(X10,X12) )
| ~ r1(X8,X10) )
| ~ r1(X6,X8) )
| ~ r1(X2,X6) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ! [X121] :
( ! [X122] :
( ~ p1(X122)
| ~ r1(X121,X122) )
| ~ p60(X121)
| ~ r1(X0,X121) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p1(X1) )
| ( p2(X1)
& p3(X1) )
| ( ~ p3(X1)
& ~ p2(X1) )
| ( p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& ~ p3(X1) )
| ( p4(X1)
& p5(X1) )
| ( ~ p5(X1)
& ~ p4(X1) )
| ( p5(X1)
& p6(X1) )
| ( ~ p6(X1)
& ~ p5(X1) )
| ( p6(X1)
& p7(X1) )
| ( ~ p7(X1)
& ~ p6(X1) )
| ( p7(X1)
& p8(X1) )
| ( ~ p8(X1)
& ~ p7(X1) )
| ( p8(X1)
& p9(X1) )
| ( ~ p9(X1)
& ~ p8(X1) )
| ( p9(X1)
& p10(X1) )
| ( ~ p10(X1)
& ~ p9(X1) )
| ( p10(X1)
& p11(X1) )
| ( ~ p11(X1)
& ~ p10(X1) )
| ( p11(X1)
& p12(X1) )
| ( ~ p12(X1)
& ~ p11(X1) )
| ( p12(X1)
& p13(X1) )
| ( ~ p13(X1)
& ~ p12(X1) )
| ( p13(X1)
& p14(X1) )
| ( ~ p14(X1)
& ~ p13(X1) )
| ( p14(X1)
& p15(X1) )
| ( ~ p15(X1)
& ~ p14(X1) )
| ( p15(X1)
& p16(X1) )
| ( ~ p16(X1)
& ~ p15(X1) )
| ( p16(X1)
& p17(X1) )
| ( ~ p17(X1)
& ~ p16(X1) )
| ( p17(X1)
& p18(X1) )
| ( ~ p18(X1)
& ~ p17(X1) )
| ( p18(X1)
& p19(X1) )
| ( ~ p19(X1)
& ~ p18(X1) )
| ( p19(X1)
& p20(X1) )
| ( ~ p20(X1)
& ~ p19(X1) )
| ( p20(X1)
& p21(X1) )
| ( ~ p21(X1)
& ~ p20(X1) )
| ( p21(X1)
& p22(X1) )
| ( ~ p22(X1)
& ~ p21(X1) )
| ( p22(X1)
& p23(X1) )
| ( ~ p23(X1)
& ~ p22(X1) )
| ( p23(X1)
& p24(X1) )
| ( ~ p24(X1)
& ~ p23(X1) )
| ( p24(X1)
& p25(X1) )
| ( ~ p25(X1)
& ~ p24(X1) )
| ( p25(X1)
& p26(X1) )
| ( ~ p26(X1)
& ~ p25(X1) )
| ( p26(X1)
& p27(X1) )
| ( ~ p27(X1)
& ~ p26(X1) )
| ( p27(X1)
& p28(X1) )
| ( ~ p28(X1)
& ~ p27(X1) )
| ( p28(X1)
& p29(X1) )
| ( ~ p29(X1)
& ~ p28(X1) )
| ( p29(X1)
& p30(X1) )
| ( ~ p30(X1)
& ~ p29(X1) )
| ( p30(X1)
& p31(X1) )
| ( ~ p31(X1)
& ~ p30(X1) )
| ( p31(X1)
& p32(X1) )
| ( ~ p32(X1)
& ~ p31(X1) )
| ( p32(X1)
& p33(X1) )
| ( ~ p33(X1)
& ~ p32(X1) )
| ( p33(X1)
& p34(X1) )
| ( ~ p34(X1)
& ~ p33(X1) )
| ( p34(X1)
& p35(X1) )
| ( ~ p35(X1)
& ~ p34(X1) )
| ( p35(X1)
& p36(X1) )
| ( ~ p36(X1)
& ~ p35(X1) )
| ( p36(X1)
& p37(X1) )
| ( ~ p37(X1)
& ~ p36(X1) )
| ( p37(X1)
& p38(X1) )
| ( ~ p38(X1)
& ~ p37(X1) )
| ( p38(X1)
& p39(X1) )
| ( ~ p39(X1)
& ~ p38(X1) )
| ( p39(X1)
& p40(X1) )
| ( ~ p40(X1)
& ~ p39(X1) )
| ( p40(X1)
& p41(X1) )
| ( ~ p41(X1)
& ~ p40(X1) )
| ( p41(X1)
& p42(X1) )
| ( ~ p42(X1)
& ~ p41(X1) )
| ( p42(X1)
& p43(X1) )
| ( ~ p43(X1)
& ~ p42(X1) )
| ( p43(X1)
& p44(X1) )
| ( ~ p44(X1)
& ~ p43(X1) )
| ( p44(X1)
& p45(X1) )
| ( ~ p45(X1)
& ~ p44(X1) )
| ( p45(X1)
& p46(X1) )
| ( ~ p46(X1)
& ~ p45(X1) )
| ( p46(X1)
& p47(X1) )
| ( ~ p47(X1)
& ~ p46(X1) )
| ( p47(X1)
& p48(X1) )
| ( ~ p48(X1)
& ~ p47(X1) )
| ( p48(X1)
& p49(X1) )
| ( ~ p49(X1)
& ~ p48(X1) )
| ( p49(X1)
& p50(X1) )
| ( ~ p50(X1)
& ~ p49(X1) )
| ( p50(X1)
& p51(X1) )
| ( ~ p51(X1)
& ~ p50(X1) )
| ( p51(X1)
& p52(X1) )
| ( ~ p52(X1)
& ~ p51(X1) )
| ( p52(X1)
& p53(X1) )
| ( ~ p53(X1)
& ~ p52(X1) )
| ( p53(X1)
& p54(X1) )
| ( ~ p54(X1)
& ~ p53(X1) )
| ( p54(X1)
& p55(X1) )
| ( ~ p55(X1)
& ~ p54(X1) )
| ( p55(X1)
& p56(X1) )
| ( ~ p56(X1)
& ~ p55(X1) )
| ( p56(X1)
& p57(X1) )
| ( ~ p57(X1)
& ~ p56(X1) )
| ( p57(X1)
& p58(X1) )
| ( ~ p58(X1)
& ~ p57(X1) )
| ( p58(X1)
& p59(X1) )
| ( ~ p59(X1)
& ~ p58(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( p60(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( p1(X1)
& ~ p2(X1) )
| ( ~ p1(X1)
& p2(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p2(X0)
& ~ p3(X0) )
| ( ~ p2(X0)
& p3(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p3(X1)
& ~ p4(X1) )
| ( ~ p3(X1)
& p4(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p4(X0)
& ~ p5(X0) )
| ( ~ p4(X0)
& p5(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p5(X1)
& ~ p6(X1) )
| ( ~ p5(X1)
& p6(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p6(X0)
& ~ p7(X0) )
| ( ~ p6(X0)
& p7(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p7(X1)
& ~ p8(X1) )
| ( ~ p7(X1)
& p8(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p8(X0)
& ~ p9(X0) )
| ( ~ p8(X0)
& p9(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p9(X1)
& ~ p10(X1) )
| ( ~ p9(X1)
& p10(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p10(X0)
& ~ p11(X0) )
| ( ~ p10(X0)
& p11(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p11(X1)
& ~ p12(X1) )
| ( ~ p11(X1)
& p12(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p12(X0)
& ~ p13(X0) )
| ( ~ p12(X0)
& p13(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p13(X1)
& ~ p14(X1) )
| ( ~ p13(X1)
& p14(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p14(X0)
& ~ p15(X0) )
| ( ~ p14(X0)
& p15(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p15(X1)
& ~ p16(X1) )
| ( ~ p15(X1)
& p16(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p16(X0)
& ~ p17(X0) )
| ( ~ p16(X0)
& p17(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p17(X1)
& ~ p18(X1) )
| ( ~ p17(X1)
& p18(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p18(X0)
& ~ p19(X0) )
| ( ~ p18(X0)
& p19(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p19(X1)
& ~ p20(X1) )
| ( ~ p19(X1)
& p20(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p20(X0)
& ~ p21(X0) )
| ( ~ p20(X0)
& p21(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p21(X1)
& ~ p22(X1) )
| ( ~ p21(X1)
& p22(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p22(X0)
& ~ p23(X0) )
| ( ~ p22(X0)
& p23(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p23(X1)
& ~ p24(X1) )
| ( ~ p23(X1)
& p24(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p24(X0)
& ~ p25(X0) )
| ( ~ p24(X0)
& p25(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p25(X1)
& ~ p26(X1) )
| ( ~ p25(X1)
& p26(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p26(X0)
& ~ p27(X0) )
| ( ~ p26(X0)
& p27(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p27(X1)
& ~ p28(X1) )
| ( ~ p27(X1)
& p28(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p28(X0)
& ~ p29(X0) )
| ( ~ p28(X0)
& p29(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p29(X1)
& ~ p30(X1) )
| ( ~ p29(X1)
& p30(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p30(X0)
& ~ p31(X0) )
| ( ~ p30(X0)
& p31(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p31(X1)
& ~ p32(X1) )
| ( ~ p31(X1)
& p32(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p32(X0)
& ~ p33(X0) )
| ( ~ p32(X0)
& p33(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p33(X1)
& ~ p34(X1) )
| ( ~ p33(X1)
& p34(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p34(X0)
& ~ p35(X0) )
| ( ~ p34(X0)
& p35(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p35(X1)
& ~ p36(X1) )
| ( ~ p35(X1)
& p36(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p36(X0)
& ~ p37(X0) )
| ( ~ p36(X0)
& p37(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p37(X1)
& ~ p38(X1) )
| ( ~ p37(X1)
& p38(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p38(X0)
& ~ p39(X0) )
| ( ~ p38(X0)
& p39(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p39(X1)
& ~ p40(X1) )
| ( ~ p39(X1)
& p40(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p40(X0)
& ~ p41(X0) )
| ( ~ p40(X0)
& p41(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p41(X1)
& ~ p42(X1) )
| ( ~ p41(X1)
& p42(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p42(X0)
& ~ p43(X0) )
| ( ~ p42(X0)
& p43(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p43(X1)
& ~ p44(X1) )
| ( ~ p43(X1)
& p44(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p44(X0)
& ~ p45(X0) )
| ( ~ p44(X0)
& p45(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p45(X1)
& ~ p46(X1) )
| ( ~ p45(X1)
& p46(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p46(X0)
& ~ p47(X0) )
| ( ~ p46(X0)
& p47(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p47(X1)
& ~ p48(X1) )
| ( ~ p47(X1)
& p48(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p48(X0)
& ~ p49(X0) )
| ( ~ p48(X0)
& p49(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p49(X1)
& ~ p50(X1) )
| ( ~ p49(X1)
& p50(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p50(X0)
& ~ p51(X0) )
| ( ~ p50(X0)
& p51(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p51(X1)
& ~ p52(X1) )
| ( ~ p51(X1)
& p52(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p52(X0)
& ~ p53(X0) )
| ( ~ p52(X0)
& p53(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p53(X1)
& ~ p54(X1) )
| ( ~ p53(X1)
& p54(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p54(X0)
& ~ p55(X0) )
| ( ~ p54(X0)
& p55(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p55(X1)
& ~ p56(X1) )
| ( ~ p55(X1)
& p56(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p56(X0)
& ~ p57(X0) )
| ( ~ p56(X0)
& p57(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p57(X1)
& ~ p58(X1) )
| ( ~ p57(X1)
& p58(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p58(X0)
& ~ p59(X0) )
| ( ~ p58(X0)
& p59(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ 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) )
| ~ 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) )
| ~ 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] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ p60(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p1(X1) )
| ( p2(X1)
& p3(X1) )
| ( ~ p3(X1)
& ~ p2(X1) )
| ( p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& ~ p3(X1) )
| ( p4(X1)
& p5(X1) )
| ( ~ p5(X1)
& ~ p4(X1) )
| ( p5(X1)
& p6(X1) )
| ( ~ p6(X1)
& ~ p5(X1) )
| ( p6(X1)
& p7(X1) )
| ( ~ p7(X1)
& ~ p6(X1) )
| ( p7(X1)
& p8(X1) )
| ( ~ p8(X1)
& ~ p7(X1) )
| ( p8(X1)
& p9(X1) )
| ( ~ p9(X1)
& ~ p8(X1) )
| ( p9(X1)
& p10(X1) )
| ( ~ p10(X1)
& ~ p9(X1) )
| ( p10(X1)
& p11(X1) )
| ( ~ p11(X1)
& ~ p10(X1) )
| ( p11(X1)
& p12(X1) )
| ( ~ p12(X1)
& ~ p11(X1) )
| ( p12(X1)
& p13(X1) )
| ( ~ p13(X1)
& ~ p12(X1) )
| ( p13(X1)
& p14(X1) )
| ( ~ p14(X1)
& ~ p13(X1) )
| ( p14(X1)
& p15(X1) )
| ( ~ p15(X1)
& ~ p14(X1) )
| ( p15(X1)
& p16(X1) )
| ( ~ p16(X1)
& ~ p15(X1) )
| ( p16(X1)
& p17(X1) )
| ( ~ p17(X1)
& ~ p16(X1) )
| ( p17(X1)
& p18(X1) )
| ( ~ p18(X1)
& ~ p17(X1) )
| ( p18(X1)
& p19(X1) )
| ( ~ p19(X1)
& ~ p18(X1) )
| ( p19(X1)
& p20(X1) )
| ( ~ p20(X1)
& ~ p19(X1) )
| ( p20(X1)
& p21(X1) )
| ( ~ p21(X1)
& ~ p20(X1) )
| ( p21(X1)
& p22(X1) )
| ( ~ p22(X1)
& ~ p21(X1) )
| ( p22(X1)
& p23(X1) )
| ( ~ p23(X1)
& ~ p22(X1) )
| ( p23(X1)
& p24(X1) )
| ( ~ p24(X1)
& ~ p23(X1) )
| ( p24(X1)
& p25(X1) )
| ( ~ p25(X1)
& ~ p24(X1) )
| ( p25(X1)
& p26(X1) )
| ( ~ p26(X1)
& ~ p25(X1) )
| ( p26(X1)
& p27(X1) )
| ( ~ p27(X1)
& ~ p26(X1) )
| ( p27(X1)
& p28(X1) )
| ( ~ p28(X1)
& ~ p27(X1) )
| ( p28(X1)
& p29(X1) )
| ( ~ p29(X1)
& ~ p28(X1) )
| ( p29(X1)
& p30(X1) )
| ( ~ p30(X1)
& ~ p29(X1) )
| ( p30(X1)
& p31(X1) )
| ( ~ p31(X1)
& ~ p30(X1) )
| ( p31(X1)
& p32(X1) )
| ( ~ p32(X1)
& ~ p31(X1) )
| ( p32(X1)
& p33(X1) )
| ( ~ p33(X1)
& ~ p32(X1) )
| ( p33(X1)
& p34(X1) )
| ( ~ p34(X1)
& ~ p33(X1) )
| ( p34(X1)
& p35(X1) )
| ( ~ p35(X1)
& ~ p34(X1) )
| ( p35(X1)
& p36(X1) )
| ( ~ p36(X1)
& ~ p35(X1) )
| ( p36(X1)
& p37(X1) )
| ( ~ p37(X1)
& ~ p36(X1) )
| ( p37(X1)
& p38(X1) )
| ( ~ p38(X1)
& ~ p37(X1) )
| ( p38(X1)
& p39(X1) )
| ( ~ p39(X1)
& ~ p38(X1) )
| ( p39(X1)
& p40(X1) )
| ( ~ p40(X1)
& ~ p39(X1) )
| ( p40(X1)
& p41(X1) )
| ( ~ p41(X1)
& ~ p40(X1) )
| ( p41(X1)
& p42(X1) )
| ( ~ p42(X1)
& ~ p41(X1) )
| ( p42(X1)
& p43(X1) )
| ( ~ p43(X1)
& ~ p42(X1) )
| ( p43(X1)
& p44(X1) )
| ( ~ p44(X1)
& ~ p43(X1) )
| ( p44(X1)
& p45(X1) )
| ( ~ p45(X1)
& ~ p44(X1) )
| ( p45(X1)
& p46(X1) )
| ( ~ p46(X1)
& ~ p45(X1) )
| ( p46(X1)
& p47(X1) )
| ( ~ p47(X1)
& ~ p46(X1) )
| ( p47(X1)
& p48(X1) )
| ( ~ p48(X1)
& ~ p47(X1) )
| ( p48(X1)
& p49(X1) )
| ( ~ p49(X1)
& ~ p48(X1) )
| ( p49(X1)
& p50(X1) )
| ( ~ p50(X1)
& ~ p49(X1) )
| ( p50(X1)
& p51(X1) )
| ( ~ p51(X1)
& ~ p50(X1) )
| ( p51(X1)
& p52(X1) )
| ( ~ p52(X1)
& ~ p51(X1) )
| ( p52(X1)
& p53(X1) )
| ( ~ p53(X1)
& ~ p52(X1) )
| ( p53(X1)
& p54(X1) )
| ( ~ p54(X1)
& ~ p53(X1) )
| ( p54(X1)
& p55(X1) )
| ( ~ p55(X1)
& ~ p54(X1) )
| ( p55(X1)
& p56(X1) )
| ( ~ p56(X1)
& ~ p55(X1) )
| ( p56(X1)
& p57(X1) )
| ( ~ p57(X1)
& ~ p56(X1) )
| ( p57(X1)
& p58(X1) )
| ( ~ p58(X1)
& ~ p57(X1) )
| ( p58(X1)
& p59(X1) )
| ( ~ p59(X1)
& ~ p58(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( p60(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( p1(X1)
& ~ p2(X1) )
| ( ~ p1(X1)
& p2(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p2(X0)
& ~ p3(X0) )
| ( ~ p2(X0)
& p3(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p3(X1)
& ~ p4(X1) )
| ( ~ p3(X1)
& p4(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p4(X0)
& ~ p5(X0) )
| ( ~ p4(X0)
& p5(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p5(X1)
& ~ p6(X1) )
| ( ~ p5(X1)
& p6(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p6(X0)
& ~ p7(X0) )
| ( ~ p6(X0)
& p7(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p7(X1)
& ~ p8(X1) )
| ( ~ p7(X1)
& p8(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p8(X0)
& ~ p9(X0) )
| ( ~ p8(X0)
& p9(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p9(X1)
& ~ p10(X1) )
| ( ~ p9(X1)
& p10(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p10(X0)
& ~ p11(X0) )
| ( ~ p10(X0)
& p11(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p11(X1)
& ~ p12(X1) )
| ( ~ p11(X1)
& p12(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p12(X0)
& ~ p13(X0) )
| ( ~ p12(X0)
& p13(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p13(X1)
& ~ p14(X1) )
| ( ~ p13(X1)
& p14(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p14(X0)
& ~ p15(X0) )
| ( ~ p14(X0)
& p15(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p15(X1)
& ~ p16(X1) )
| ( ~ p15(X1)
& p16(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p16(X0)
& ~ p17(X0) )
| ( ~ p16(X0)
& p17(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p17(X1)
& ~ p18(X1) )
| ( ~ p17(X1)
& p18(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p18(X0)
& ~ p19(X0) )
| ( ~ p18(X0)
& p19(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p19(X1)
& ~ p20(X1) )
| ( ~ p19(X1)
& p20(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p20(X0)
& ~ p21(X0) )
| ( ~ p20(X0)
& p21(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p21(X1)
& ~ p22(X1) )
| ( ~ p21(X1)
& p22(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p22(X0)
& ~ p23(X0) )
| ( ~ p22(X0)
& p23(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p23(X1)
& ~ p24(X1) )
| ( ~ p23(X1)
& p24(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p24(X0)
& ~ p25(X0) )
| ( ~ p24(X0)
& p25(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p25(X1)
& ~ p26(X1) )
| ( ~ p25(X1)
& p26(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p26(X0)
& ~ p27(X0) )
| ( ~ p26(X0)
& p27(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p27(X1)
& ~ p28(X1) )
| ( ~ p27(X1)
& p28(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p28(X0)
& ~ p29(X0) )
| ( ~ p28(X0)
& p29(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p29(X1)
& ~ p30(X1) )
| ( ~ p29(X1)
& p30(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p30(X0)
& ~ p31(X0) )
| ( ~ p30(X0)
& p31(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p31(X1)
& ~ p32(X1) )
| ( ~ p31(X1)
& p32(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p32(X0)
& ~ p33(X0) )
| ( ~ p32(X0)
& p33(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p33(X1)
& ~ p34(X1) )
| ( ~ p33(X1)
& p34(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p34(X0)
& ~ p35(X0) )
| ( ~ p34(X0)
& p35(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p35(X1)
& ~ p36(X1) )
| ( ~ p35(X1)
& p36(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p36(X0)
& ~ p37(X0) )
| ( ~ p36(X0)
& p37(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p37(X1)
& ~ p38(X1) )
| ( ~ p37(X1)
& p38(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p38(X0)
& ~ p39(X0) )
| ( ~ p38(X0)
& p39(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p39(X1)
& ~ p40(X1) )
| ( ~ p39(X1)
& p40(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p40(X0)
& ~ p41(X0) )
| ( ~ p40(X0)
& p41(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p41(X1)
& ~ p42(X1) )
| ( ~ p41(X1)
& p42(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p42(X0)
& ~ p43(X0) )
| ( ~ p42(X0)
& p43(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p43(X1)
& ~ p44(X1) )
| ( ~ p43(X1)
& p44(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p44(X0)
& ~ p45(X0) )
| ( ~ p44(X0)
& p45(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p45(X1)
& ~ p46(X1) )
| ( ~ p45(X1)
& p46(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p46(X0)
& ~ p47(X0) )
| ( ~ p46(X0)
& p47(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p47(X1)
& ~ p48(X1) )
| ( ~ p47(X1)
& p48(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p48(X0)
& ~ p49(X0) )
| ( ~ p48(X0)
& p49(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p49(X1)
& ~ p50(X1) )
| ( ~ p49(X1)
& p50(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p50(X0)
& ~ p51(X0) )
| ( ~ p50(X0)
& p51(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p51(X1)
& ~ p52(X1) )
| ( ~ p51(X1)
& p52(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p52(X0)
& ~ p53(X0) )
| ( ~ p52(X0)
& p53(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p53(X1)
& ~ p54(X1) )
| ( ~ p53(X1)
& p54(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p54(X0)
& ~ p55(X0) )
| ( ~ p54(X0)
& p55(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p55(X1)
& ~ p56(X1) )
| ( ~ p55(X1)
& p56(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p56(X0)
& ~ p57(X0) )
| ( ~ p56(X0)
& p57(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p57(X1)
& ~ p58(X1) )
| ( ~ p57(X1)
& p58(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p58(X0)
& ~ p59(X0) )
| ( ~ p58(X0)
& p59(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ 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) )
| ~ 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) )
| ~ 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] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ p60(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f907,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f494,plain,
! [X0] :
( ~ sP117(X0)
| sP114(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( sP114(X0)
& sP116(X0)
& sP115(X0)
& sP113(X0) )
| ~ sP117(X0) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X2] :
( ( sP114(X2)
& sP116(X2)
& sP115(X2)
& sP113(X2) )
| ~ sP117(X2) ),
inference(nnf_transformation,[],[f128]) ).
fof(f614,plain,
! [X0] :
( ~ sP114(X0)
| p1(sK119(X0))
| p2(sK119(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( ( ~ p1(sK119(X0))
| ~ p2(sK119(X0)) )
& ( p2(sK119(X0))
| p1(sK119(X0)) )
& ( ~ p2(sK119(X0))
| ~ p3(sK119(X0)) )
& ( p3(sK119(X0))
| p2(sK119(X0)) )
& ( ~ p3(sK119(X0))
| ~ p4(sK119(X0)) )
& ( p4(sK119(X0))
| p3(sK119(X0)) )
& ( ~ p4(sK119(X0))
| ~ p5(sK119(X0)) )
& ( p5(sK119(X0))
| p4(sK119(X0)) )
& ( ~ p5(sK119(X0))
| ~ p6(sK119(X0)) )
& ( p6(sK119(X0))
| p5(sK119(X0)) )
& ( ~ p6(sK119(X0))
| ~ p7(sK119(X0)) )
& ( p7(sK119(X0))
| p6(sK119(X0)) )
& ( ~ p7(sK119(X0))
| ~ p8(sK119(X0)) )
& ( p8(sK119(X0))
| p7(sK119(X0)) )
& ( ~ p8(sK119(X0))
| ~ p9(sK119(X0)) )
& ( p9(sK119(X0))
| p8(sK119(X0)) )
& ( ~ p9(sK119(X0))
| ~ p10(sK119(X0)) )
& ( p10(sK119(X0))
| p9(sK119(X0)) )
& ( ~ p10(sK119(X0))
| ~ p11(sK119(X0)) )
& ( p11(sK119(X0))
| p10(sK119(X0)) )
& ( ~ p11(sK119(X0))
| ~ p12(sK119(X0)) )
& ( p12(sK119(X0))
| p11(sK119(X0)) )
& ( ~ p12(sK119(X0))
| ~ p13(sK119(X0)) )
& ( p13(sK119(X0))
| p12(sK119(X0)) )
& ( ~ p13(sK119(X0))
| ~ p14(sK119(X0)) )
& ( p14(sK119(X0))
| p13(sK119(X0)) )
& ( ~ p14(sK119(X0))
| ~ p15(sK119(X0)) )
& ( p15(sK119(X0))
| p14(sK119(X0)) )
& ( ~ p15(sK119(X0))
| ~ p16(sK119(X0)) )
& ( p16(sK119(X0))
| p15(sK119(X0)) )
& ( ~ p16(sK119(X0))
| ~ p17(sK119(X0)) )
& ( p17(sK119(X0))
| p16(sK119(X0)) )
& ( ~ p17(sK119(X0))
| ~ p18(sK119(X0)) )
& ( p18(sK119(X0))
| p17(sK119(X0)) )
& ( ~ p18(sK119(X0))
| ~ p19(sK119(X0)) )
& ( p19(sK119(X0))
| p18(sK119(X0)) )
& ( ~ p19(sK119(X0))
| ~ p20(sK119(X0)) )
& ( p20(sK119(X0))
| p19(sK119(X0)) )
& ( ~ p20(sK119(X0))
| ~ p21(sK119(X0)) )
& ( p21(sK119(X0))
| p20(sK119(X0)) )
& ( ~ p21(sK119(X0))
| ~ p22(sK119(X0)) )
& ( p22(sK119(X0))
| p21(sK119(X0)) )
& ( ~ p22(sK119(X0))
| ~ p23(sK119(X0)) )
& ( p23(sK119(X0))
| p22(sK119(X0)) )
& ( ~ p23(sK119(X0))
| ~ p24(sK119(X0)) )
& ( p24(sK119(X0))
| p23(sK119(X0)) )
& ( ~ p24(sK119(X0))
| ~ p25(sK119(X0)) )
& ( p25(sK119(X0))
| p24(sK119(X0)) )
& ( ~ p25(sK119(X0))
| ~ p26(sK119(X0)) )
& ( p26(sK119(X0))
| p25(sK119(X0)) )
& ( ~ p26(sK119(X0))
| ~ p27(sK119(X0)) )
& ( p27(sK119(X0))
| p26(sK119(X0)) )
& ( ~ p27(sK119(X0))
| ~ p28(sK119(X0)) )
& ( p28(sK119(X0))
| p27(sK119(X0)) )
& ( ~ p28(sK119(X0))
| ~ p29(sK119(X0)) )
& ( p29(sK119(X0))
| p28(sK119(X0)) )
& ( ~ p29(sK119(X0))
| ~ p30(sK119(X0)) )
& ( p30(sK119(X0))
| p29(sK119(X0)) )
& ( ~ p30(sK119(X0))
| ~ p31(sK119(X0)) )
& ( p31(sK119(X0))
| p30(sK119(X0)) )
& ( ~ p31(sK119(X0))
| ~ p32(sK119(X0)) )
& ( p32(sK119(X0))
| p31(sK119(X0)) )
& ( ~ p32(sK119(X0))
| ~ p33(sK119(X0)) )
& ( p33(sK119(X0))
| p32(sK119(X0)) )
& ( ~ p33(sK119(X0))
| ~ p34(sK119(X0)) )
& ( p34(sK119(X0))
| p33(sK119(X0)) )
& ( ~ p34(sK119(X0))
| ~ p35(sK119(X0)) )
& ( p35(sK119(X0))
| p34(sK119(X0)) )
& ( ~ p35(sK119(X0))
| ~ p36(sK119(X0)) )
& ( p36(sK119(X0))
| p35(sK119(X0)) )
& ( ~ p36(sK119(X0))
| ~ p37(sK119(X0)) )
& ( p37(sK119(X0))
| p36(sK119(X0)) )
& ( ~ p37(sK119(X0))
| ~ p38(sK119(X0)) )
& ( p38(sK119(X0))
| p37(sK119(X0)) )
& ( ~ p38(sK119(X0))
| ~ p39(sK119(X0)) )
& ( p39(sK119(X0))
| p38(sK119(X0)) )
& ( ~ p39(sK119(X0))
| ~ p40(sK119(X0)) )
& ( p40(sK119(X0))
| p39(sK119(X0)) )
& ( ~ p40(sK119(X0))
| ~ p41(sK119(X0)) )
& ( p41(sK119(X0))
| p40(sK119(X0)) )
& ( ~ p41(sK119(X0))
| ~ p42(sK119(X0)) )
& ( p42(sK119(X0))
| p41(sK119(X0)) )
& ( ~ p42(sK119(X0))
| ~ p43(sK119(X0)) )
& ( p43(sK119(X0))
| p42(sK119(X0)) )
& ( ~ p43(sK119(X0))
| ~ p44(sK119(X0)) )
& ( p44(sK119(X0))
| p43(sK119(X0)) )
& ( ~ p44(sK119(X0))
| ~ p45(sK119(X0)) )
& ( p45(sK119(X0))
| p44(sK119(X0)) )
& ( ~ p45(sK119(X0))
| ~ p46(sK119(X0)) )
& ( p46(sK119(X0))
| p45(sK119(X0)) )
& ( ~ p46(sK119(X0))
| ~ p47(sK119(X0)) )
& ( p47(sK119(X0))
| p46(sK119(X0)) )
& ( ~ p47(sK119(X0))
| ~ p48(sK119(X0)) )
& ( p48(sK119(X0))
| p47(sK119(X0)) )
& ( ~ p48(sK119(X0))
| ~ p49(sK119(X0)) )
& ( p49(sK119(X0))
| p48(sK119(X0)) )
& ( ~ p49(sK119(X0))
| ~ p50(sK119(X0)) )
& ( p50(sK119(X0))
| p49(sK119(X0)) )
& ( ~ p50(sK119(X0))
| ~ p51(sK119(X0)) )
& ( p51(sK119(X0))
| p50(sK119(X0)) )
& ( ~ p51(sK119(X0))
| ~ p52(sK119(X0)) )
& ( p52(sK119(X0))
| p51(sK119(X0)) )
& ( ~ p52(sK119(X0))
| ~ p53(sK119(X0)) )
& ( p53(sK119(X0))
| p52(sK119(X0)) )
& ( ~ p53(sK119(X0))
| ~ p54(sK119(X0)) )
& ( p54(sK119(X0))
| p53(sK119(X0)) )
& ( ~ p54(sK119(X0))
| ~ p55(sK119(X0)) )
& ( p55(sK119(X0))
| p54(sK119(X0)) )
& ( ~ p55(sK119(X0))
| ~ p56(sK119(X0)) )
& ( p56(sK119(X0))
| p55(sK119(X0)) )
& ( ~ p56(sK119(X0))
| ~ p57(sK119(X0)) )
& ( p57(sK119(X0))
| p56(sK119(X0)) )
& ( ~ p57(sK119(X0))
| ~ p58(sK119(X0)) )
& ( p58(sK119(X0))
| p57(sK119(X0)) )
& ( ~ p58(sK119(X0))
| ~ p59(sK119(X0)) )
& ( p59(sK119(X0))
| p58(sK119(X0)) )
& r1(X0,sK119(X0)) )
| ~ sP114(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK119])],[f139,f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( ( ~ p1(X1)
| ~ p2(X1) )
& ( p2(X1)
| p1(X1) )
& ( ~ p2(X1)
| ~ p3(X1) )
& ( p3(X1)
| p2(X1) )
& ( ~ p3(X1)
| ~ p4(X1) )
& ( p4(X1)
| p3(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p5(X1)
| p4(X1) )
& ( ~ p5(X1)
| ~ p6(X1) )
& ( p6(X1)
| p5(X1) )
& ( ~ p6(X1)
| ~ p7(X1) )
& ( p7(X1)
| p6(X1) )
& ( ~ p7(X1)
| ~ p8(X1) )
& ( p8(X1)
| p7(X1) )
& ( ~ p8(X1)
| ~ p9(X1) )
& ( p9(X1)
| p8(X1) )
& ( ~ p9(X1)
| ~ p10(X1) )
& ( p10(X1)
| p9(X1) )
& ( ~ p10(X1)
| ~ p11(X1) )
& ( p11(X1)
| p10(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p12(X1)
| p11(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( p13(X1)
| p12(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( p14(X1)
| p13(X1) )
& ( ~ p14(X1)
| ~ p15(X1) )
& ( p15(X1)
| p14(X1) )
& ( ~ p15(X1)
| ~ p16(X1) )
& ( p16(X1)
| p15(X1) )
& ( ~ p16(X1)
| ~ p17(X1) )
& ( p17(X1)
| p16(X1) )
& ( ~ p17(X1)
| ~ p18(X1) )
& ( p18(X1)
| p17(X1) )
& ( ~ p18(X1)
| ~ p19(X1) )
& ( p19(X1)
| p18(X1) )
& ( ~ p19(X1)
| ~ p20(X1) )
& ( p20(X1)
| p19(X1) )
& ( ~ p20(X1)
| ~ p21(X1) )
& ( p21(X1)
| p20(X1) )
& ( ~ p21(X1)
| ~ p22(X1) )
& ( p22(X1)
| p21(X1) )
& ( ~ p22(X1)
| ~ p23(X1) )
& ( p23(X1)
| p22(X1) )
& ( ~ p23(X1)
| ~ p24(X1) )
& ( p24(X1)
| p23(X1) )
& ( ~ p24(X1)
| ~ p25(X1) )
& ( p25(X1)
| p24(X1) )
& ( ~ p25(X1)
| ~ p26(X1) )
& ( p26(X1)
| p25(X1) )
& ( ~ p26(X1)
| ~ p27(X1) )
& ( p27(X1)
| p26(X1) )
& ( ~ p27(X1)
| ~ p28(X1) )
& ( p28(X1)
| p27(X1) )
& ( ~ p28(X1)
| ~ p29(X1) )
& ( p29(X1)
| p28(X1) )
& ( ~ p29(X1)
| ~ p30(X1) )
& ( p30(X1)
| p29(X1) )
& ( ~ p30(X1)
| ~ p31(X1) )
& ( p31(X1)
| p30(X1) )
& ( ~ p31(X1)
| ~ p32(X1) )
& ( p32(X1)
| p31(X1) )
& ( ~ p32(X1)
| ~ p33(X1) )
& ( p33(X1)
| p32(X1) )
& ( ~ p33(X1)
| ~ p34(X1) )
& ( p34(X1)
| p33(X1) )
& ( ~ p34(X1)
| ~ p35(X1) )
& ( p35(X1)
| p34(X1) )
& ( ~ p35(X1)
| ~ p36(X1) )
& ( p36(X1)
| p35(X1) )
& ( ~ p36(X1)
| ~ p37(X1) )
& ( p37(X1)
| p36(X1) )
& ( ~ p37(X1)
| ~ p38(X1) )
& ( p38(X1)
| p37(X1) )
& ( ~ p38(X1)
| ~ p39(X1) )
& ( p39(X1)
| p38(X1) )
& ( ~ p39(X1)
| ~ p40(X1) )
& ( p40(X1)
| p39(X1) )
& ( ~ p40(X1)
| ~ p41(X1) )
& ( p41(X1)
| p40(X1) )
& ( ~ p41(X1)
| ~ p42(X1) )
& ( p42(X1)
| p41(X1) )
& ( ~ p42(X1)
| ~ p43(X1) )
& ( p43(X1)
| p42(X1) )
& ( ~ p43(X1)
| ~ p44(X1) )
& ( p44(X1)
| p43(X1) )
& ( ~ p44(X1)
| ~ p45(X1) )
& ( p45(X1)
| p44(X1) )
& ( ~ p45(X1)
| ~ p46(X1) )
& ( p46(X1)
| p45(X1) )
& ( ~ p46(X1)
| ~ p47(X1) )
& ( p47(X1)
| p46(X1) )
& ( ~ p47(X1)
| ~ p48(X1) )
& ( p48(X1)
| p47(X1) )
& ( ~ p48(X1)
| ~ p49(X1) )
& ( p49(X1)
| p48(X1) )
& ( ~ p49(X1)
| ~ p50(X1) )
& ( p50(X1)
| p49(X1) )
& ( ~ p50(X1)
| ~ p51(X1) )
& ( p51(X1)
| p50(X1) )
& ( ~ p51(X1)
| ~ p52(X1) )
& ( p52(X1)
| p51(X1) )
& ( ~ p52(X1)
| ~ p53(X1) )
& ( p53(X1)
| p52(X1) )
& ( ~ p53(X1)
| ~ p54(X1) )
& ( p54(X1)
| p53(X1) )
& ( ~ p54(X1)
| ~ p55(X1) )
& ( p55(X1)
| p54(X1) )
& ( ~ p55(X1)
| ~ p56(X1) )
& ( p56(X1)
| p55(X1) )
& ( ~ p56(X1)
| ~ p57(X1) )
& ( p57(X1)
| p56(X1) )
& ( ~ p57(X1)
| ~ p58(X1) )
& ( p58(X1)
| p57(X1) )
& ( ~ p58(X1)
| ~ p59(X1) )
& ( p59(X1)
| p58(X1) )
& r1(X0,X1) )
=> ( ( ~ p1(sK119(X0))
| ~ p2(sK119(X0)) )
& ( p2(sK119(X0))
| p1(sK119(X0)) )
& ( ~ p2(sK119(X0))
| ~ p3(sK119(X0)) )
& ( p3(sK119(X0))
| p2(sK119(X0)) )
& ( ~ p3(sK119(X0))
| ~ p4(sK119(X0)) )
& ( p4(sK119(X0))
| p3(sK119(X0)) )
& ( ~ p4(sK119(X0))
| ~ p5(sK119(X0)) )
& ( p5(sK119(X0))
| p4(sK119(X0)) )
& ( ~ p5(sK119(X0))
| ~ p6(sK119(X0)) )
& ( p6(sK119(X0))
| p5(sK119(X0)) )
& ( ~ p6(sK119(X0))
| ~ p7(sK119(X0)) )
& ( p7(sK119(X0))
| p6(sK119(X0)) )
& ( ~ p7(sK119(X0))
| ~ p8(sK119(X0)) )
& ( p8(sK119(X0))
| p7(sK119(X0)) )
& ( ~ p8(sK119(X0))
| ~ p9(sK119(X0)) )
& ( p9(sK119(X0))
| p8(sK119(X0)) )
& ( ~ p9(sK119(X0))
| ~ p10(sK119(X0)) )
& ( p10(sK119(X0))
| p9(sK119(X0)) )
& ( ~ p10(sK119(X0))
| ~ p11(sK119(X0)) )
& ( p11(sK119(X0))
| p10(sK119(X0)) )
& ( ~ p11(sK119(X0))
| ~ p12(sK119(X0)) )
& ( p12(sK119(X0))
| p11(sK119(X0)) )
& ( ~ p12(sK119(X0))
| ~ p13(sK119(X0)) )
& ( p13(sK119(X0))
| p12(sK119(X0)) )
& ( ~ p13(sK119(X0))
| ~ p14(sK119(X0)) )
& ( p14(sK119(X0))
| p13(sK119(X0)) )
& ( ~ p14(sK119(X0))
| ~ p15(sK119(X0)) )
& ( p15(sK119(X0))
| p14(sK119(X0)) )
& ( ~ p15(sK119(X0))
| ~ p16(sK119(X0)) )
& ( p16(sK119(X0))
| p15(sK119(X0)) )
& ( ~ p16(sK119(X0))
| ~ p17(sK119(X0)) )
& ( p17(sK119(X0))
| p16(sK119(X0)) )
& ( ~ p17(sK119(X0))
| ~ p18(sK119(X0)) )
& ( p18(sK119(X0))
| p17(sK119(X0)) )
& ( ~ p18(sK119(X0))
| ~ p19(sK119(X0)) )
& ( p19(sK119(X0))
| p18(sK119(X0)) )
& ( ~ p19(sK119(X0))
| ~ p20(sK119(X0)) )
& ( p20(sK119(X0))
| p19(sK119(X0)) )
& ( ~ p20(sK119(X0))
| ~ p21(sK119(X0)) )
& ( p21(sK119(X0))
| p20(sK119(X0)) )
& ( ~ p21(sK119(X0))
| ~ p22(sK119(X0)) )
& ( p22(sK119(X0))
| p21(sK119(X0)) )
& ( ~ p22(sK119(X0))
| ~ p23(sK119(X0)) )
& ( p23(sK119(X0))
| p22(sK119(X0)) )
& ( ~ p23(sK119(X0))
| ~ p24(sK119(X0)) )
& ( p24(sK119(X0))
| p23(sK119(X0)) )
& ( ~ p24(sK119(X0))
| ~ p25(sK119(X0)) )
& ( p25(sK119(X0))
| p24(sK119(X0)) )
& ( ~ p25(sK119(X0))
| ~ p26(sK119(X0)) )
& ( p26(sK119(X0))
| p25(sK119(X0)) )
& ( ~ p26(sK119(X0))
| ~ p27(sK119(X0)) )
& ( p27(sK119(X0))
| p26(sK119(X0)) )
& ( ~ p27(sK119(X0))
| ~ p28(sK119(X0)) )
& ( p28(sK119(X0))
| p27(sK119(X0)) )
& ( ~ p28(sK119(X0))
| ~ p29(sK119(X0)) )
& ( p29(sK119(X0))
| p28(sK119(X0)) )
& ( ~ p29(sK119(X0))
| ~ p30(sK119(X0)) )
& ( p30(sK119(X0))
| p29(sK119(X0)) )
& ( ~ p30(sK119(X0))
| ~ p31(sK119(X0)) )
& ( p31(sK119(X0))
| p30(sK119(X0)) )
& ( ~ p31(sK119(X0))
| ~ p32(sK119(X0)) )
& ( p32(sK119(X0))
| p31(sK119(X0)) )
& ( ~ p32(sK119(X0))
| ~ p33(sK119(X0)) )
& ( p33(sK119(X0))
| p32(sK119(X0)) )
& ( ~ p33(sK119(X0))
| ~ p34(sK119(X0)) )
& ( p34(sK119(X0))
| p33(sK119(X0)) )
& ( ~ p34(sK119(X0))
| ~ p35(sK119(X0)) )
& ( p35(sK119(X0))
| p34(sK119(X0)) )
& ( ~ p35(sK119(X0))
| ~ p36(sK119(X0)) )
& ( p36(sK119(X0))
| p35(sK119(X0)) )
& ( ~ p36(sK119(X0))
| ~ p37(sK119(X0)) )
& ( p37(sK119(X0))
| p36(sK119(X0)) )
& ( ~ p37(sK119(X0))
| ~ p38(sK119(X0)) )
& ( p38(sK119(X0))
| p37(sK119(X0)) )
& ( ~ p38(sK119(X0))
| ~ p39(sK119(X0)) )
& ( p39(sK119(X0))
| p38(sK119(X0)) )
& ( ~ p39(sK119(X0))
| ~ p40(sK119(X0)) )
& ( p40(sK119(X0))
| p39(sK119(X0)) )
& ( ~ p40(sK119(X0))
| ~ p41(sK119(X0)) )
& ( p41(sK119(X0))
| p40(sK119(X0)) )
& ( ~ p41(sK119(X0))
| ~ p42(sK119(X0)) )
& ( p42(sK119(X0))
| p41(sK119(X0)) )
& ( ~ p42(sK119(X0))
| ~ p43(sK119(X0)) )
& ( p43(sK119(X0))
| p42(sK119(X0)) )
& ( ~ p43(sK119(X0))
| ~ p44(sK119(X0)) )
& ( p44(sK119(X0))
| p43(sK119(X0)) )
& ( ~ p44(sK119(X0))
| ~ p45(sK119(X0)) )
& ( p45(sK119(X0))
| p44(sK119(X0)) )
& ( ~ p45(sK119(X0))
| ~ p46(sK119(X0)) )
& ( p46(sK119(X0))
| p45(sK119(X0)) )
& ( ~ p46(sK119(X0))
| ~ p47(sK119(X0)) )
& ( p47(sK119(X0))
| p46(sK119(X0)) )
& ( ~ p47(sK119(X0))
| ~ p48(sK119(X0)) )
& ( p48(sK119(X0))
| p47(sK119(X0)) )
& ( ~ p48(sK119(X0))
| ~ p49(sK119(X0)) )
& ( p49(sK119(X0))
| p48(sK119(X0)) )
& ( ~ p49(sK119(X0))
| ~ p50(sK119(X0)) )
& ( p50(sK119(X0))
| p49(sK119(X0)) )
& ( ~ p50(sK119(X0))
| ~ p51(sK119(X0)) )
& ( p51(sK119(X0))
| p50(sK119(X0)) )
& ( ~ p51(sK119(X0))
| ~ p52(sK119(X0)) )
& ( p52(sK119(X0))
| p51(sK119(X0)) )
& ( ~ p52(sK119(X0))
| ~ p53(sK119(X0)) )
& ( p53(sK119(X0))
| p52(sK119(X0)) )
& ( ~ p53(sK119(X0))
| ~ p54(sK119(X0)) )
& ( p54(sK119(X0))
| p53(sK119(X0)) )
& ( ~ p54(sK119(X0))
| ~ p55(sK119(X0)) )
& ( p55(sK119(X0))
| p54(sK119(X0)) )
& ( ~ p55(sK119(X0))
| ~ p56(sK119(X0)) )
& ( p56(sK119(X0))
| p55(sK119(X0)) )
& ( ~ p56(sK119(X0))
| ~ p57(sK119(X0)) )
& ( p57(sK119(X0))
| p56(sK119(X0)) )
& ( ~ p57(sK119(X0))
| ~ p58(sK119(X0)) )
& ( p58(sK119(X0))
| p57(sK119(X0)) )
& ( ~ p58(sK119(X0))
| ~ p59(sK119(X0)) )
& ( p59(sK119(X0))
| p58(sK119(X0)) )
& r1(X0,sK119(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( ? [X1] :
( ( ~ p1(X1)
| ~ p2(X1) )
& ( p2(X1)
| p1(X1) )
& ( ~ p2(X1)
| ~ p3(X1) )
& ( p3(X1)
| p2(X1) )
& ( ~ p3(X1)
| ~ p4(X1) )
& ( p4(X1)
| p3(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p5(X1)
| p4(X1) )
& ( ~ p5(X1)
| ~ p6(X1) )
& ( p6(X1)
| p5(X1) )
& ( ~ p6(X1)
| ~ p7(X1) )
& ( p7(X1)
| p6(X1) )
& ( ~ p7(X1)
| ~ p8(X1) )
& ( p8(X1)
| p7(X1) )
& ( ~ p8(X1)
| ~ p9(X1) )
& ( p9(X1)
| p8(X1) )
& ( ~ p9(X1)
| ~ p10(X1) )
& ( p10(X1)
| p9(X1) )
& ( ~ p10(X1)
| ~ p11(X1) )
& ( p11(X1)
| p10(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p12(X1)
| p11(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( p13(X1)
| p12(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( p14(X1)
| p13(X1) )
& ( ~ p14(X1)
| ~ p15(X1) )
& ( p15(X1)
| p14(X1) )
& ( ~ p15(X1)
| ~ p16(X1) )
& ( p16(X1)
| p15(X1) )
& ( ~ p16(X1)
| ~ p17(X1) )
& ( p17(X1)
| p16(X1) )
& ( ~ p17(X1)
| ~ p18(X1) )
& ( p18(X1)
| p17(X1) )
& ( ~ p18(X1)
| ~ p19(X1) )
& ( p19(X1)
| p18(X1) )
& ( ~ p19(X1)
| ~ p20(X1) )
& ( p20(X1)
| p19(X1) )
& ( ~ p20(X1)
| ~ p21(X1) )
& ( p21(X1)
| p20(X1) )
& ( ~ p21(X1)
| ~ p22(X1) )
& ( p22(X1)
| p21(X1) )
& ( ~ p22(X1)
| ~ p23(X1) )
& ( p23(X1)
| p22(X1) )
& ( ~ p23(X1)
| ~ p24(X1) )
& ( p24(X1)
| p23(X1) )
& ( ~ p24(X1)
| ~ p25(X1) )
& ( p25(X1)
| p24(X1) )
& ( ~ p25(X1)
| ~ p26(X1) )
& ( p26(X1)
| p25(X1) )
& ( ~ p26(X1)
| ~ p27(X1) )
& ( p27(X1)
| p26(X1) )
& ( ~ p27(X1)
| ~ p28(X1) )
& ( p28(X1)
| p27(X1) )
& ( ~ p28(X1)
| ~ p29(X1) )
& ( p29(X1)
| p28(X1) )
& ( ~ p29(X1)
| ~ p30(X1) )
& ( p30(X1)
| p29(X1) )
& ( ~ p30(X1)
| ~ p31(X1) )
& ( p31(X1)
| p30(X1) )
& ( ~ p31(X1)
| ~ p32(X1) )
& ( p32(X1)
| p31(X1) )
& ( ~ p32(X1)
| ~ p33(X1) )
& ( p33(X1)
| p32(X1) )
& ( ~ p33(X1)
| ~ p34(X1) )
& ( p34(X1)
| p33(X1) )
& ( ~ p34(X1)
| ~ p35(X1) )
& ( p35(X1)
| p34(X1) )
& ( ~ p35(X1)
| ~ p36(X1) )
& ( p36(X1)
| p35(X1) )
& ( ~ p36(X1)
| ~ p37(X1) )
& ( p37(X1)
| p36(X1) )
& ( ~ p37(X1)
| ~ p38(X1) )
& ( p38(X1)
| p37(X1) )
& ( ~ p38(X1)
| ~ p39(X1) )
& ( p39(X1)
| p38(X1) )
& ( ~ p39(X1)
| ~ p40(X1) )
& ( p40(X1)
| p39(X1) )
& ( ~ p40(X1)
| ~ p41(X1) )
& ( p41(X1)
| p40(X1) )
& ( ~ p41(X1)
| ~ p42(X1) )
& ( p42(X1)
| p41(X1) )
& ( ~ p42(X1)
| ~ p43(X1) )
& ( p43(X1)
| p42(X1) )
& ( ~ p43(X1)
| ~ p44(X1) )
& ( p44(X1)
| p43(X1) )
& ( ~ p44(X1)
| ~ p45(X1) )
& ( p45(X1)
| p44(X1) )
& ( ~ p45(X1)
| ~ p46(X1) )
& ( p46(X1)
| p45(X1) )
& ( ~ p46(X1)
| ~ p47(X1) )
& ( p47(X1)
| p46(X1) )
& ( ~ p47(X1)
| ~ p48(X1) )
& ( p48(X1)
| p47(X1) )
& ( ~ p48(X1)
| ~ p49(X1) )
& ( p49(X1)
| p48(X1) )
& ( ~ p49(X1)
| ~ p50(X1) )
& ( p50(X1)
| p49(X1) )
& ( ~ p50(X1)
| ~ p51(X1) )
& ( p51(X1)
| p50(X1) )
& ( ~ p51(X1)
| ~ p52(X1) )
& ( p52(X1)
| p51(X1) )
& ( ~ p52(X1)
| ~ p53(X1) )
& ( p53(X1)
| p52(X1) )
& ( ~ p53(X1)
| ~ p54(X1) )
& ( p54(X1)
| p53(X1) )
& ( ~ p54(X1)
| ~ p55(X1) )
& ( p55(X1)
| p54(X1) )
& ( ~ p55(X1)
| ~ p56(X1) )
& ( p56(X1)
| p55(X1) )
& ( ~ p56(X1)
| ~ p57(X1) )
& ( p57(X1)
| p56(X1) )
& ( ~ p57(X1)
| ~ p58(X1) )
& ( p58(X1)
| p57(X1) )
& ( ~ p58(X1)
| ~ p59(X1) )
& ( p59(X1)
| p58(X1) )
& r1(X0,X1) )
| ~ sP114(X0) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X2] :
( ? [X3] :
( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) )
& ( ~ p2(X3)
| ~ p3(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p5(X3)
| p4(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( p8(X3)
| p7(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( p9(X3)
| p8(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p10(X3)
| ~ p11(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p12(X3)
| p11(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p13(X3)
| p12(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p14(X3)
| p13(X3) )
& ( ~ p14(X3)
| ~ p15(X3) )
& ( p15(X3)
| p14(X3) )
& ( ~ p15(X3)
| ~ p16(X3) )
& ( p16(X3)
| p15(X3) )
& ( ~ p16(X3)
| ~ p17(X3) )
& ( p17(X3)
| p16(X3) )
& ( ~ p17(X3)
| ~ p18(X3) )
& ( p18(X3)
| p17(X3) )
& ( ~ p18(X3)
| ~ p19(X3) )
& ( p19(X3)
| p18(X3) )
& ( ~ p19(X3)
| ~ p20(X3) )
& ( p20(X3)
| p19(X3) )
& ( ~ p20(X3)
| ~ p21(X3) )
& ( p21(X3)
| p20(X3) )
& ( ~ p21(X3)
| ~ p22(X3) )
& ( p22(X3)
| p21(X3) )
& ( ~ p22(X3)
| ~ p23(X3) )
& ( p23(X3)
| p22(X3) )
& ( ~ p23(X3)
| ~ p24(X3) )
& ( p24(X3)
| p23(X3) )
& ( ~ p24(X3)
| ~ p25(X3) )
& ( p25(X3)
| p24(X3) )
& ( ~ p25(X3)
| ~ p26(X3) )
& ( p26(X3)
| p25(X3) )
& ( ~ p26(X3)
| ~ p27(X3) )
& ( p27(X3)
| p26(X3) )
& ( ~ p27(X3)
| ~ p28(X3) )
& ( p28(X3)
| p27(X3) )
& ( ~ p28(X3)
| ~ p29(X3) )
& ( p29(X3)
| p28(X3) )
& ( ~ p29(X3)
| ~ p30(X3) )
& ( p30(X3)
| p29(X3) )
& ( ~ p30(X3)
| ~ p31(X3) )
& ( p31(X3)
| p30(X3) )
& ( ~ p31(X3)
| ~ p32(X3) )
& ( p32(X3)
| p31(X3) )
& ( ~ p32(X3)
| ~ p33(X3) )
& ( p33(X3)
| p32(X3) )
& ( ~ p33(X3)
| ~ p34(X3) )
& ( p34(X3)
| p33(X3) )
& ( ~ p34(X3)
| ~ p35(X3) )
& ( p35(X3)
| p34(X3) )
& ( ~ p35(X3)
| ~ p36(X3) )
& ( p36(X3)
| p35(X3) )
& ( ~ p36(X3)
| ~ p37(X3) )
& ( p37(X3)
| p36(X3) )
& ( ~ p37(X3)
| ~ p38(X3) )
& ( p38(X3)
| p37(X3) )
& ( ~ p38(X3)
| ~ p39(X3) )
& ( p39(X3)
| p38(X3) )
& ( ~ p39(X3)
| ~ p40(X3) )
& ( p40(X3)
| p39(X3) )
& ( ~ p40(X3)
| ~ p41(X3) )
& ( p41(X3)
| p40(X3) )
& ( ~ p41(X3)
| ~ p42(X3) )
& ( p42(X3)
| p41(X3) )
& ( ~ p42(X3)
| ~ p43(X3) )
& ( p43(X3)
| p42(X3) )
& ( ~ p43(X3)
| ~ p44(X3) )
& ( p44(X3)
| p43(X3) )
& ( ~ p44(X3)
| ~ p45(X3) )
& ( p45(X3)
| p44(X3) )
& ( ~ p45(X3)
| ~ p46(X3) )
& ( p46(X3)
| p45(X3) )
& ( ~ p46(X3)
| ~ p47(X3) )
& ( p47(X3)
| p46(X3) )
& ( ~ p47(X3)
| ~ p48(X3) )
& ( p48(X3)
| p47(X3) )
& ( ~ p48(X3)
| ~ p49(X3) )
& ( p49(X3)
| p48(X3) )
& ( ~ p49(X3)
| ~ p50(X3) )
& ( p50(X3)
| p49(X3) )
& ( ~ p50(X3)
| ~ p51(X3) )
& ( p51(X3)
| p50(X3) )
& ( ~ p51(X3)
| ~ p52(X3) )
& ( p52(X3)
| p51(X3) )
& ( ~ p52(X3)
| ~ p53(X3) )
& ( p53(X3)
| p52(X3) )
& ( ~ p53(X3)
| ~ p54(X3) )
& ( p54(X3)
| p53(X3) )
& ( ~ p54(X3)
| ~ p55(X3) )
& ( p55(X3)
| p54(X3) )
& ( ~ p55(X3)
| ~ p56(X3) )
& ( p56(X3)
| p55(X3) )
& ( ~ p56(X3)
| ~ p57(X3) )
& ( p57(X3)
| p56(X3) )
& ( ~ p57(X3)
| ~ p58(X3) )
& ( p58(X3)
| p57(X3) )
& ( ~ p58(X3)
| ~ p59(X3) )
& ( p59(X3)
| p58(X3) )
& r1(X2,X3) )
| ~ sP114(X2) ),
inference(nnf_transformation,[],[f125]) ).
fof(f1874,plain,
( ~ p2(sK119(sK179))
| p1(sK119(sK179)) ),
inference(subsumption_resolution,[],[f1860,f911]) ).
fof(f911,plain,
sP115(sK179),
inference(resolution,[],[f492,f909]) ).
fof(f492,plain,
! [X0] :
( ~ sP117(X0)
| sP115(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f1860,plain,
( ~ p2(sK119(sK179))
| p1(sK119(sK179))
| ~ sP115(sK179) ),
inference(resolution,[],[f497,f955]) ).
fof(f955,plain,
r1(sK179,sK119(sK179)),
inference(resolution,[],[f499,f913]) ).
fof(f499,plain,
! [X0] :
( ~ sP114(X0)
| r1(X0,sK119(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f497,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| p1(X1)
| ~ sP115(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( ( ~ p1(X1)
| p2(X1) )
& ( p1(X1)
| ~ p2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP115(X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X2] :
( ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X2,X5) )
| ~ sP115(X2) ),
inference(nnf_transformation,[],[f126]) ).
fof(f1964,plain,
~ p1(sK119(sK179)),
inference(resolution,[],[f1961,f1809]) ).
fof(f1809,plain,
( ~ p2(sK119(sK179))
| ~ p1(sK119(sK179)) ),
inference(resolution,[],[f615,f913]) ).
fof(f615,plain,
! [X0] :
( ~ sP114(X0)
| ~ p2(sK119(X0))
| ~ p1(sK119(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1961,plain,
p2(sK119(sK179)),
inference(subsumption_resolution,[],[f1960,f911]) ).
fof(f1960,plain,
( p2(sK119(sK179))
| ~ sP115(sK179) ),
inference(subsumption_resolution,[],[f1946,f1875]) ).
fof(f1946,plain,
( p2(sK119(sK179))
| ~ p1(sK119(sK179))
| ~ sP115(sK179) ),
inference(resolution,[],[f498,f955]) ).
fof(f498,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p1(X1)
| ~ sP115(X0) ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL686+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:30:19 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (11284)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (11290)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35 % (11289)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35 % (11288)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35 % (11287)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)
% 0.11/0.36 % (11291)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)
% 0.11/0.36 % (11285)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36 % (11286)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.37 % (11289)First to succeed.
% 0.11/0.38 TRYING [1]
% 0.11/0.38 TRYING [2]
% 0.11/0.38 % (11289)Refutation found. Thanks to Tanya!
% 0.11/0.38 % SZS status Theorem for theBenchmark
% 0.11/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.39 % (11289)------------------------------
% 0.11/0.39 % (11289)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.39 % (11289)Termination reason: Refutation
% 0.11/0.39
% 0.11/0.39 % (11289)Memory used [KB]: 1930
% 0.11/0.39 % (11289)Time elapsed: 0.032 s
% 0.11/0.39 % (11289)Instructions burned: 71 (million)
% 0.11/0.39 % (11289)------------------------------
% 0.11/0.39 % (11289)------------------------------
% 0.11/0.39 % (11284)Success in time 0.059 s
%------------------------------------------------------------------------------