TSTP Solution File: SYO179^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO179^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n006.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 : 600s
% DateTime : Thu Jul 21 19:30:40 EDT 2022
% Result : Theorem 26.39s 26.32s
% Output : Proof 26.39s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cG,type,
cG: $i > $i > $o ).
thf(ty_cC,type,
cC: $i ).
thf(ty_cR,type,
cR: $i > $i > $o ).
thf(ty_cE,type,
cE: $i ).
thf(ty_cB,type,
cB: $i ).
thf(ty_cA,type,
cA: $i ).
thf(ty_cD,type,
cD: $i ).
thf(ty_cF,type,
cF: $i ).
thf(sP1,plain,
( sP1
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( cR @ cA @ cB )
=> ( cG @ cA @ cB ) )
=> ~ ( ~ ( cR @ cA @ cC )
=> ( cG @ cA @ cC ) ) )
=> ~ ( ~ ( cR @ cA @ cD )
=> ( cG @ cA @ cD ) ) )
=> ~ ( ~ ( cR @ cA @ cE )
=> ( cG @ cA @ cE ) ) )
=> ~ ( ~ ( cR @ cA @ cF )
=> ( cG @ cA @ cF ) ) )
=> ~ ( ~ ( cR @ cB @ cC )
=> ( cG @ cB @ cC ) ) )
=> ~ ( ~ ( cR @ cB @ cD )
=> ( cG @ cB @ cD ) ) )
=> ~ ( ~ ( cR @ cB @ cE )
=> ( cG @ cB @ cE ) ) )
=> ~ ( ~ ( cR @ cB @ cF )
=> ( cG @ cB @ cF ) ) )
=> ~ ( ~ ( cR @ cC @ cD )
=> ( cG @ cC @ cD ) ) )
=> ~ ( ~ ( cR @ cC @ cE )
=> ( cG @ cC @ cE ) ) )
=> ~ ( ~ ( cR @ cC @ cF )
=> ( cG @ cC @ cF ) ) )
=> ~ ( ~ ( cR @ cD @ cE )
=> ( cG @ cD @ cE ) ) )
=> ~ ( ~ ( cR @ cD @ cF )
=> ( cG @ cD @ cF ) ) )
=> ~ ( ~ ( cR @ cE @ cF )
=> ( cG @ cE @ cF ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( cR @ cA @ cB )
=> ( cG @ cA @ cB ) )
=> ~ ( ~ ( cR @ cA @ cC )
=> ( cG @ cA @ cC ) ) )
=> ~ ( ~ ( cR @ cA @ cD )
=> ( cG @ cA @ cD ) ) )
=> ~ ( ~ ( cR @ cA @ cE )
=> ( cG @ cA @ cE ) ) )
=> ~ ( ~ ( cR @ cA @ cF )
=> ( cG @ cA @ cF ) ) )
=> ~ ( ~ ( cR @ cB @ cC )
=> ( cG @ cB @ cC ) ) )
=> ~ ( ~ ( cR @ cB @ cD )
=> ( cG @ cB @ cD ) ) )
=> ~ ( ~ ( cR @ cB @ cE )
=> ( cG @ cB @ cE ) ) )
=> ~ ( ~ ( cR @ cB @ cF )
=> ( cG @ cB @ cF ) ) )
=> ~ ( ~ ( cR @ cC @ cD )
=> ( cG @ cC @ cD ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cG @ cB @ cD ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ ( ( cR @ cB @ cD )
=> ~ ( cR @ cB @ cE ) )
=> ~ ( cR @ cD @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ~ ( cR @ cB @ cF )
=> ( cG @ cB @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
( ~ ( ( cG @ cA @ cD )
=> ~ ( cG @ cA @ X1 ) )
=> ~ ( cG @ cD @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ ( ( cR @ cA @ cB )
=> ~ ( cR @ cA @ cE ) )
=> ~ ( cR @ cB @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i] :
( ~ ( ( cR @ cC @ cD )
=> ~ ( cR @ cC @ X1 ) )
=> ~ ( cR @ cD @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( cG @ cB @ cF ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( cR @ cB @ cC )
=> ~ ( cR @ cB @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cG @ X1 @ X2 )
=> ~ ( cG @ X1 @ X3 ) )
=> ~ ( cG @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( cR @ cC @ cE )
=> ~ ( cR @ cC @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( cG @ cB @ cE ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( cR @ cB @ cC ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ( cG @ cA @ cC )
=> ~ ( cG @ cA @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ~ ( ( cG @ cA @ cB )
=> ~ ( cG @ cA @ cD ) )
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( cR @ cB @ cD ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( cR @ cE @ cF ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: $i] :
( ~ ( ( cR @ cB @ cE )
=> ~ ( cR @ cB @ X1 ) )
=> ~ ( cR @ cE @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ( cG @ cA @ cC )
=> ~ ( cG @ cA @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ~ sP20
=> ~ ( cG @ cC @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ~ sP14
=> ( cG @ cB @ cC ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ( cR @ cA @ cD )
=> ~ ( cR @ cA @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ( cG @ cC @ cD )
=> ~ ( cG @ cC @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: $i] :
( ~ ( ( cG @ cB @ cC )
=> ~ ( cG @ cB @ X1 ) )
=> ~ ( cG @ cC @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cG @ cB @ X1 )
=> ~ ( cG @ cB @ X2 ) )
=> ~ ( cG @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( ~ ( ( cR @ cA @ cB )
=> ~ ( cR @ cA @ cF ) )
=> ~ ( cR @ cB @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( sP17
=> ~ ( cR @ cB @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( ~ ( cR @ cB @ cE )
=> sP13 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ~ sP17
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ~ ( ( cR @ cA @ cB )
=> ~ ( cR @ cA @ cD ) )
=> ~ sP17 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ~ sP15
=> ~ ( cG @ cC @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( ~ sP28
=> ~ ( cR @ cD @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( ~ sP18
=> ( cG @ cE @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( ~ ( ( cR @ cB @ cE )
=> ~ ( cR @ cB @ cF ) )
=> ~ sP18 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( ~ ( ~ ( ( ~ ( cR @ cA @ cB )
=> ( cG @ cA @ cB ) )
=> ~ ( ~ ( cR @ cA @ cC )
=> ( cG @ cA @ cC ) ) )
=> ~ ( ~ ( cR @ cA @ cD )
=> ( cG @ cA @ cD ) ) )
=> ~ ( ~ ( cR @ cA @ cE )
=> ( cG @ cA @ cE ) ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( cG @ cB @ cC ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ! [X1: $i] :
( ~ ( ( cR @ cA @ cE )
=> ~ ( cR @ cA @ X1 ) )
=> ~ ( cR @ cE @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ~ ( ~ ( ~ ( ~ sP36
=> ~ ( ~ ( cR @ cA @ cF )
=> ( cG @ cA @ cF ) ) )
=> ~ sP22 )
=> ~ sP30 )
=> ~ sP29 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( ~ ( cR @ cA @ cD )
=> ( cG @ cA @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( ~ ( ( cG @ cA @ cD )
=> ~ ( cG @ cA @ cF ) )
=> ~ ( cG @ cD @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( sP14
=> ~ ( cR @ cB @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( ( cR @ cA @ cB )
=> ~ ( cR @ cA @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( ( cG @ cC @ cD )
=> ~ ( cG @ cC @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ! [X1: $i] :
( ~ ( ( cG @ cA @ cB )
=> ~ ( cG @ cA @ X1 ) )
=> ~ ( cG @ cB @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( ( cG @ cA @ cC )
=> ~ ( cG @ cA @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( cR @ cC @ cF ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ( ~ sP24
=> ~ ( cG @ cD @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( ~ ( ( ~ ( cR @ cA @ cB )
=> ( cG @ cA @ cB ) )
=> ~ ( ~ ( cR @ cA @ cC )
=> ( cG @ cA @ cC ) ) )
=> ~ sP40 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ( ( cG @ cA @ cE )
=> ~ ( cG @ cA @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( ~ ( sP13
=> ~ sP9 )
=> ~ ( cG @ cE @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( ~ ( ( cR @ cA @ cC )
=> ~ ( cR @ cA @ cD ) )
=> ~ ( cR @ cC @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( ~ ( ( cR @ cA @ cD )
=> ~ ( cR @ cA @ cE ) )
=> ~ ( cR @ cD @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( cR @ cB @ cF ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ( cR @ cA @ cD ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( ( cR @ cA @ cE )
=> ~ ( cR @ cA @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( ~ sP10
=> ~ ( cR @ cC @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( cG @ cA @ cB ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ! [X1: $i] :
( ~ ( ( cG @ cC @ cD )
=> ~ ( cG @ cC @ X1 ) )
=> ~ ( cG @ cD @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cG @ cC @ X1 )
=> ~ ( cG @ cC @ X2 ) )
=> ~ ( cG @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( cR @ cB @ cE ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( sP61
=> ~ sP54 ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ! [X1: $i] :
( ~ ( ( cG @ cA @ cE )
=> ~ ( cG @ cA @ X1 ) )
=> ~ ( cG @ cE @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( cG @ cC @ cE ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( ( cR @ cA @ cB )
=> ~ ( cR @ cA @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ( ~ ( sP37
=> ~ sP13 )
=> ~ sP64 ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ! [X1: $i] :
( ~ ( sP17
=> ~ ( cR @ cB @ X1 ) )
=> ~ ( cR @ cD @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cR @ X1 @ X2 )
=> ~ ( cR @ X1 @ X3 ) )
=> ~ ( cR @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ( sP58
=> ~ ( cG @ cA @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( sP37
=> ~ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ( ~ sP42
=> ~ ( cR @ cC @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ( cG @ cA @ cD ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ( ( cR @ cC @ cD )
=> ~ sP47 ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ( cR @ cA @ cB ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( ~ ( sP37
=> ~ sP3 )
=> ~ ( cG @ cC @ cD ) ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cR @ cB @ X1 )
=> ~ ( cR @ cB @ X2 ) )
=> ~ ( cR @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(sP77,plain,
( sP77
<=> ( cG @ cA @ cE ) ),
introduced(definition,[new_symbols(definition,[sP77])]) ).
thf(sP78,plain,
( sP78
<=> ! [X1: $i] :
( ~ ( ( cR @ cC @ cE )
=> ~ ( cR @ cC @ X1 ) )
=> ~ ( cR @ cE @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP78])]) ).
thf(sP79,plain,
( sP79
<=> ( ( cR @ cA @ cC )
=> ~ ( cR @ cA @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP79])]) ).
thf(sP80,plain,
( sP80
<=> ( ~ sP36
=> ~ ( ~ ( cR @ cA @ cF )
=> ( cG @ cA @ cF ) ) ) ),
introduced(definition,[new_symbols(definition,[sP80])]) ).
thf(sP81,plain,
( sP81
<=> ( sP74
=> ~ ( cR @ cA @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP81])]) ).
thf(sP82,plain,
( sP82
<=> ( ~ ( sP58
=> ~ sP77 )
=> ~ sP13 ) ),
introduced(definition,[new_symbols(definition,[sP82])]) ).
thf(sP83,plain,
( sP83
<=> ! [X1: $i] :
( ~ ( ( cR @ cA @ cC )
=> ~ ( cR @ cA @ X1 ) )
=> ~ ( cR @ cC @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP83])]) ).
thf(sP84,plain,
( sP84
<=> ( sP37
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP84])]) ).
thf(sP85,plain,
( sP85
<=> ( ~ ( ( cR @ cC @ cD )
=> ~ ( cR @ cC @ cE ) )
=> ~ ( cR @ cD @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP85])]) ).
thf(sP86,plain,
( sP86
<=> ( ~ sP47
=> ( cG @ cC @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP86])]) ).
thf(sP87,plain,
( sP87
<=> ( ~ ( sP58
=> ~ ( cG @ cA @ cF ) )
=> ~ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP87])]) ).
thf(sP88,plain,
( sP88
<=> ( ~ ( ~ sP80
=> ~ sP22 )
=> ~ sP30 ) ),
introduced(definition,[new_symbols(definition,[sP88])]) ).
thf(sP89,plain,
( sP89
<=> ( sP58
=> ~ ( cG @ cA @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP89])]) ).
thf(sP90,plain,
( sP90
<=> ( cG @ cD @ cE ) ),
introduced(definition,[new_symbols(definition,[sP90])]) ).
thf(sP91,plain,
( sP91
<=> ( ~ sP73
=> ~ ( cR @ cD @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP91])]) ).
thf(sP92,plain,
( sP92
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cR @ cC @ X1 )
=> ~ ( cR @ cC @ X2 ) )
=> ~ ( cR @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP92])]) ).
thf(sP93,plain,
( sP93
<=> ! [X1: $i] :
( ~ ( sP74
=> ~ ( cR @ cA @ X1 ) )
=> ~ ( cR @ cB @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP93])]) ).
thf(sP94,plain,
( sP94
<=> ( ( cR @ cA @ cC )
=> ~ ( cR @ cA @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP94])]) ).
thf(sP95,plain,
( sP95
<=> ( sP3
=> ~ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP95])]) ).
thf(sP96,plain,
( sP96
<=> ( cG @ cA @ cF ) ),
introduced(definition,[new_symbols(definition,[sP96])]) ).
thf(sP97,plain,
( sP97
<=> ( sP64
=> ~ ( cG @ cC @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP97])]) ).
thf(sP98,plain,
( sP98
<=> ( ~ ( cR @ cD @ cE )
=> sP90 ) ),
introduced(definition,[new_symbols(definition,[sP98])]) ).
thf(sP99,plain,
( sP99
<=> ( sP58
=> ~ ( cG @ cA @ cC ) ) ),
introduced(definition,[new_symbols(definition,[sP99])]) ).
thf(sP100,plain,
( sP100
<=> ( cG @ cA @ cC ) ),
introduced(definition,[new_symbols(definition,[sP100])]) ).
thf(sP101,plain,
( sP101
<=> ( ~ sP56
=> ~ sP18 ) ),
introduced(definition,[new_symbols(definition,[sP101])]) ).
thf(sP102,plain,
( sP102
<=> ( sP3
=> ~ sP13 ) ),
introduced(definition,[new_symbols(definition,[sP102])]) ).
thf(sP103,plain,
( sP103
<=> ( ~ ( cR @ cD @ cF )
=> ( cG @ cD @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP103])]) ).
thf(sP104,plain,
( sP104
<=> ( sP58
=> ~ sP77 ) ),
introduced(definition,[new_symbols(definition,[sP104])]) ).
thf(sP105,plain,
( sP105
<=> ( cG @ cE @ cF ) ),
introduced(definition,[new_symbols(definition,[sP105])]) ).
thf(sP106,plain,
( sP106
<=> ( cR @ cC @ cE ) ),
introduced(definition,[new_symbols(definition,[sP106])]) ).
thf(sP107,plain,
( sP107
<=> ( ~ ( sP72
=> ~ sP77 )
=> ~ sP90 ) ),
introduced(definition,[new_symbols(definition,[sP107])]) ).
thf(sP108,plain,
( sP108
<=> ( sP74
=> ~ ( cR @ cA @ cC ) ) ),
introduced(definition,[new_symbols(definition,[sP108])]) ).
thf(sP109,plain,
( sP109
<=> ( ~ ( cR @ cA @ cC )
=> sP100 ) ),
introduced(definition,[new_symbols(definition,[sP109])]) ).
thf(sP110,plain,
( sP110
<=> ! [X1: $i] :
( ~ ( sP100
=> ~ ( cG @ cA @ X1 ) )
=> ~ ( cG @ cC @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP110])]) ).
thf(sP111,plain,
( sP111
<=> ( ~ sP80
=> ~ sP22 ) ),
introduced(definition,[new_symbols(definition,[sP111])]) ).
thf(sP112,plain,
( sP112
<=> ( ~ sP106
=> sP64 ) ),
introduced(definition,[new_symbols(definition,[sP112])]) ).
thf(sP113,plain,
( sP113
<=> ( ~ sP2
=> ~ sP112 ) ),
introduced(definition,[new_symbols(definition,[sP113])]) ).
thf(sP114,plain,
( sP114
<=> ( ~ sP39
=> ~ sP5 ) ),
introduced(definition,[new_symbols(definition,[sP114])]) ).
thf(sP115,plain,
( sP115
<=> ( sP68
=> ~ sP11 ) ),
introduced(definition,[new_symbols(definition,[sP115])]) ).
thf(sP116,plain,
( sP116
<=> ( ~ sP50
=> ~ sP105 ) ),
introduced(definition,[new_symbols(definition,[sP116])]) ).
thf(sP117,plain,
( sP117
<=> ( sP55
=> ~ ( cR @ cA @ cE ) ) ),
introduced(definition,[new_symbols(definition,[sP117])]) ).
thf(sP118,plain,
( sP118
<=> ( cG @ cC @ cF ) ),
introduced(definition,[new_symbols(definition,[sP118])]) ).
thf(sP119,plain,
( sP119
<=> ( ~ sP1
=> sP115 ) ),
introduced(definition,[new_symbols(definition,[sP119])]) ).
thf(sP120,plain,
( sP120
<=> ( sP72
=> ~ sP77 ) ),
introduced(definition,[new_symbols(definition,[sP120])]) ).
thf(sP121,plain,
( sP121
<=> ( ~ ( cR @ cA @ cF )
=> sP96 ) ),
introduced(definition,[new_symbols(definition,[sP121])]) ).
thf(sP122,plain,
( sP122
<=> ( cR @ cA @ cE ) ),
introduced(definition,[new_symbols(definition,[sP122])]) ).
thf(sP123,plain,
( sP123
<=> ( ~ sP95
=> ~ ( cG @ cD @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP123])]) ).
thf(sP124,plain,
( sP124
<=> ( ~ sP102
=> ~ sP90 ) ),
introduced(definition,[new_symbols(definition,[sP124])]) ).
thf(sP125,plain,
( sP125
<=> ( ~ sP46
=> ~ sP118 ) ),
introduced(definition,[new_symbols(definition,[sP125])]) ).
thf(sP126,plain,
( sP126
<=> ( ~ ( ~ sP113
=> ~ sP86 )
=> ~ sP98 ) ),
introduced(definition,[new_symbols(definition,[sP126])]) ).
thf(sP127,plain,
( sP127
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cR @ cA @ X1 )
=> ~ ( cR @ cA @ X2 ) )
=> ~ ( cR @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP127])]) ).
thf(sP128,plain,
( sP128
<=> ( ~ sP12
=> ~ sP18 ) ),
introduced(definition,[new_symbols(definition,[sP128])]) ).
thf(sP129,plain,
( sP129
<=> ( sP17
=> ~ sP61 ) ),
introduced(definition,[new_symbols(definition,[sP129])]) ).
thf(sP130,plain,
( sP130
<=> ( sP37
=> ~ sP13 ) ),
introduced(definition,[new_symbols(definition,[sP130])]) ).
thf(sP131,plain,
( sP131
<=> ( ~ sP113
=> ~ sP86 ) ),
introduced(definition,[new_symbols(definition,[sP131])]) ).
thf(sP132,plain,
( sP132
<=> ( cG @ cC @ cD ) ),
introduced(definition,[new_symbols(definition,[sP132])]) ).
thf(sP133,plain,
( sP133
<=> ! [X1: $i] :
( ~ ( sP3
=> ~ ( cG @ cB @ X1 ) )
=> ~ ( cG @ cD @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP133])]) ).
thf(sP134,plain,
( sP134
<=> ( ~ sP79
=> ~ sP106 ) ),
introduced(definition,[new_symbols(definition,[sP134])]) ).
thf(sP135,plain,
( sP135
<=> ( ~ sP74
=> sP58 ) ),
introduced(definition,[new_symbols(definition,[sP135])]) ).
thf(sP136,plain,
( sP136
<=> ! [X1: $i] :
( ~ ( sP55
=> ~ ( cR @ cA @ X1 ) )
=> ~ ( cR @ cD @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP136])]) ).
thf(sP137,plain,
( sP137
<=> ( ~ sP99
=> ~ sP37 ) ),
introduced(definition,[new_symbols(definition,[sP137])]) ).
thf(sP138,plain,
( sP138
<=> ! [X1: $i] :
( ~ ( sP64
=> ~ ( cG @ cC @ X1 ) )
=> ~ ( cG @ cE @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP138])]) ).
thf(sP139,plain,
( sP139
<=> ( cG @ cD @ cF ) ),
introduced(definition,[new_symbols(definition,[sP139])]) ).
thf(sP140,plain,
( sP140
<=> ! [X1: $i] :
( ~ ( sP14
=> ~ ( cR @ cB @ X1 ) )
=> ~ ( cR @ cC @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP140])]) ).
thf(sP141,plain,
( sP141
<=> ( ~ sP23
=> ~ ( cR @ cD @ cF ) ) ),
introduced(definition,[new_symbols(definition,[sP141])]) ).
thf(sP142,plain,
( sP142
<=> ( ~ sP70
=> ~ sP118 ) ),
introduced(definition,[new_symbols(definition,[sP142])]) ).
thf(sP143,plain,
( sP143
<=> ! [X1: $i] :
( ~ ( sP13
=> ~ ( cG @ cB @ X1 ) )
=> ~ ( cG @ cE @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP143])]) ).
thf(sP144,plain,
( sP144
<=> ( ( cR @ cA @ cC )
=> ~ sP55 ) ),
introduced(definition,[new_symbols(definition,[sP144])]) ).
thf(sP145,plain,
( sP145
<=> ( cR @ cD @ cF ) ),
introduced(definition,[new_symbols(definition,[sP145])]) ).
thf(sP146,plain,
( sP146
<=> ( ~ sP94
=> ~ sP47 ) ),
introduced(definition,[new_symbols(definition,[sP146])]) ).
thf(sP147,plain,
( sP147
<=> ( cR @ cA @ cC ) ),
introduced(definition,[new_symbols(definition,[sP147])]) ).
thf(sP148,plain,
( sP148
<=> ( cR @ cC @ cD ) ),
introduced(definition,[new_symbols(definition,[sP148])]) ).
thf(sP149,plain,
( sP149
<=> ( ~ sP108
=> ~ sP14 ) ),
introduced(definition,[new_symbols(definition,[sP149])]) ).
thf(sP150,plain,
( sP150
<=> ( ~ sP44
=> ~ sP90 ) ),
introduced(definition,[new_symbols(definition,[sP150])]) ).
thf(sP151,plain,
( sP151
<=> ( ~ sP126
=> ~ sP103 ) ),
introduced(definition,[new_symbols(definition,[sP151])]) ).
thf(sP152,plain,
( sP152
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cG @ cA @ X1 )
=> ~ ( cG @ cA @ X2 ) )
=> ~ ( cG @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP152])]) ).
thf(sP153,plain,
( sP153
<=> ( ~ sP122
=> sP77 ) ),
introduced(definition,[new_symbols(definition,[sP153])]) ).
thf(sP154,plain,
( sP154
<=> ( sP135
=> ~ sP109 ) ),
introduced(definition,[new_symbols(definition,[sP154])]) ).
thf(sP155,plain,
( sP155
<=> ( sP13
=> ~ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP155])]) ).
thf(sP156,plain,
( sP156
<=> ( ~ sP148
=> sP132 ) ),
introduced(definition,[new_symbols(definition,[sP156])]) ).
thf(sP157,plain,
( sP157
<=> ( sP148
=> ~ sP106 ) ),
introduced(definition,[new_symbols(definition,[sP157])]) ).
thf(sP158,plain,
( sP158
<=> ( cR @ cA @ cF ) ),
introduced(definition,[new_symbols(definition,[sP158])]) ).
thf(sP159,plain,
( sP159
<=> ( sP14
=> ~ sP54 ) ),
introduced(definition,[new_symbols(definition,[sP159])]) ).
thf(sP160,plain,
( sP160
<=> ( cR @ cD @ cE ) ),
introduced(definition,[new_symbols(definition,[sP160])]) ).
thf(sP161,plain,
( sP161
<=> ( ~ sP97
=> ~ sP105 ) ),
introduced(definition,[new_symbols(definition,[sP161])]) ).
thf(sP162,plain,
( sP162
<=> ( ~ sP159
=> ~ sP47 ) ),
introduced(definition,[new_symbols(definition,[sP162])]) ).
thf(sP163,plain,
( sP163
<=> ( sP72
=> ~ sP96 ) ),
introduced(definition,[new_symbols(definition,[sP163])]) ).
thf(cSIX_THEOREM_B,conjecture,
sP119 ).
thf(h0,negated_conjecture,
~ sP119,
inference(assume_negation,[status(cth)],[cSIX_THEOREM_B]) ).
thf(1,plain,
( ~ sP76
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP19
| sP35 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP35
| sP62
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP62
| ~ sP61
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP67
| sP33 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP33
| sP28
| ~ sP145 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP28
| ~ sP17
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP76
| sP67 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP67
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP4
| sP129
| ~ sP160 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP129
| ~ sP17
| ~ sP61 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP140
| sP162 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP162
| sP159
| ~ sP47 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP159
| ~ sP14
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP140
| sP71 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP71
| sP42
| ~ sP106 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP42
| ~ sP14
| ~ sP61 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP76
| sP140 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP140
| sP57 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP57
| sP10
| ~ sP148 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP10
| ~ sP14
| ~ sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP26
| sP143 ),
inference(all_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP143
| sP51 ),
inference(all_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP51
| sP155
| ~ sP105 ),
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP155
| ~ sP13
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP133
| sP123 ),
inference(all_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP123
| sP95
| ~ sP139 ),
inference(prop_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP95
| ~ sP3
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP26
| sP133 ),
inference(all_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP133
| sP124 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP124
| sP102
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP102
| ~ sP3
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP25
| sP142 ),
inference(all_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP142
| sP70
| ~ sP118 ),
inference(prop_rule,[status(thm)],]) ).
thf(35,plain,
( ~ sP70
| ~ sP37
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP25
| sP66 ),
inference(all_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP66
| sP130
| ~ sP64 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP130
| ~ sP37
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(39,plain,
( ~ sP26
| sP25 ),
inference(all_rule,[status(thm)],]) ).
thf(40,plain,
( ~ sP25
| sP75 ),
inference(all_rule,[status(thm)],]) ).
thf(41,plain,
( ~ sP75
| sP84
| ~ sP132 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( ~ sP84
| ~ sP37
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,plain,
( ~ sP92
| sP78 ),
inference(all_rule,[status(thm)],]) ).
thf(44,plain,
( ~ sP78
| sP128 ),
inference(all_rule,[status(thm)],]) ).
thf(45,plain,
( ~ sP128
| sP12
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(46,plain,
( ~ sP12
| ~ sP106
| ~ sP47 ),
inference(prop_rule,[status(thm)],]) ).
thf(47,plain,
( ~ sP8
| sP91 ),
inference(all_rule,[status(thm)],]) ).
thf(48,plain,
( ~ sP91
| sP73
| ~ sP145 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( ~ sP73
| ~ sP148
| ~ sP47 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( ~ sP92
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(51,plain,
( ~ sP8
| sP85 ),
inference(all_rule,[status(thm)],]) ).
thf(52,plain,
( ~ sP85
| sP157
| ~ sP160 ),
inference(prop_rule,[status(thm)],]) ).
thf(53,plain,
( ~ sP157
| ~ sP148
| ~ sP106 ),
inference(prop_rule,[status(thm)],]) ).
thf(54,plain,
( ~ sP60
| sP138 ),
inference(all_rule,[status(thm)],]) ).
thf(55,plain,
( ~ sP138
| sP161 ),
inference(all_rule,[status(thm)],]) ).
thf(56,plain,
( ~ sP161
| sP97
| ~ sP105 ),
inference(prop_rule,[status(thm)],]) ).
thf(57,plain,
( ~ sP97
| ~ sP64
| ~ sP118 ),
inference(prop_rule,[status(thm)],]) ).
thf(58,plain,
( ~ sP59
| sP48 ),
inference(all_rule,[status(thm)],]) ).
thf(59,plain,
( ~ sP48
| sP24
| ~ sP139 ),
inference(prop_rule,[status(thm)],]) ).
thf(60,plain,
( ~ sP24
| ~ sP132
| ~ sP118 ),
inference(prop_rule,[status(thm)],]) ).
thf(61,plain,
( ~ sP60
| sP59 ),
inference(all_rule,[status(thm)],]) ).
thf(62,plain,
( ~ sP59
| sP150 ),
inference(all_rule,[status(thm)],]) ).
thf(63,plain,
( ~ sP150
| sP44
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(64,plain,
( ~ sP44
| ~ sP132
| ~ sP64 ),
inference(prop_rule,[status(thm)],]) ).
thf(65,plain,
( ~ sP68
| sP76 ),
inference(all_rule,[status(thm)],]) ).
thf(66,plain,
( ~ sP11
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(67,plain,
( ~ sP68
| sP92 ),
inference(all_rule,[status(thm)],]) ).
thf(68,plain,
( ~ sP11
| sP60 ),
inference(all_rule,[status(thm)],]) ).
thf(69,plain,
( ~ sP127
| sP38 ),
inference(all_rule,[status(thm)],]) ).
thf(70,plain,
( ~ sP38
| sP101 ),
inference(all_rule,[status(thm)],]) ).
thf(71,plain,
( ~ sP101
| sP56
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(72,plain,
( ~ sP56
| ~ sP122
| ~ sP158 ),
inference(prop_rule,[status(thm)],]) ).
thf(73,plain,
( ~ sP136
| sP141 ),
inference(all_rule,[status(thm)],]) ).
thf(74,plain,
( ~ sP141
| sP23
| ~ sP145 ),
inference(prop_rule,[status(thm)],]) ).
thf(75,plain,
( ~ sP23
| ~ sP55
| ~ sP158 ),
inference(prop_rule,[status(thm)],]) ).
thf(76,plain,
( ~ sP127
| sP136 ),
inference(all_rule,[status(thm)],]) ).
thf(77,plain,
( ~ sP136
| sP53 ),
inference(all_rule,[status(thm)],]) ).
thf(78,plain,
( ~ sP53
| sP117
| ~ sP160 ),
inference(prop_rule,[status(thm)],]) ).
thf(79,plain,
( ~ sP117
| ~ sP55
| ~ sP122 ),
inference(prop_rule,[status(thm)],]) ).
thf(80,plain,
( ~ sP83
| sP146 ),
inference(all_rule,[status(thm)],]) ).
thf(81,plain,
( ~ sP146
| sP94
| ~ sP47 ),
inference(prop_rule,[status(thm)],]) ).
thf(82,plain,
( ~ sP94
| ~ sP147
| ~ sP158 ),
inference(prop_rule,[status(thm)],]) ).
thf(83,plain,
( ~ sP83
| sP134 ),
inference(all_rule,[status(thm)],]) ).
thf(84,plain,
( ~ sP134
| sP79
| ~ sP106 ),
inference(prop_rule,[status(thm)],]) ).
thf(85,plain,
( ~ sP79
| ~ sP147
| ~ sP122 ),
inference(prop_rule,[status(thm)],]) ).
thf(86,plain,
( ~ sP127
| sP83 ),
inference(all_rule,[status(thm)],]) ).
thf(87,plain,
( ~ sP83
| sP52 ),
inference(all_rule,[status(thm)],]) ).
thf(88,plain,
( ~ sP52
| sP144
| ~ sP148 ),
inference(prop_rule,[status(thm)],]) ).
thf(89,plain,
( ~ sP144
| ~ sP147
| ~ sP55 ),
inference(prop_rule,[status(thm)],]) ).
thf(90,plain,
( ~ sP93
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(91,plain,
( ~ sP27
| sP81
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(92,plain,
( ~ sP81
| ~ sP74
| ~ sP158 ),
inference(prop_rule,[status(thm)],]) ).
thf(93,plain,
( ~ sP93
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(94,plain,
( ~ sP7
| sP65
| ~ sP61 ),
inference(prop_rule,[status(thm)],]) ).
thf(95,plain,
( ~ sP65
| ~ sP74
| ~ sP122 ),
inference(prop_rule,[status(thm)],]) ).
thf(96,plain,
( ~ sP93
| sP31 ),
inference(all_rule,[status(thm)],]) ).
thf(97,plain,
( ~ sP31
| sP43
| ~ sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(98,plain,
( ~ sP43
| ~ sP74
| ~ sP55 ),
inference(prop_rule,[status(thm)],]) ).
thf(99,plain,
( ~ sP127
| sP93 ),
inference(all_rule,[status(thm)],]) ).
thf(100,plain,
( ~ sP93
| sP149 ),
inference(all_rule,[status(thm)],]) ).
thf(101,plain,
( ~ sP149
| sP108
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(102,plain,
( ~ sP108
| ~ sP74
| ~ sP147 ),
inference(prop_rule,[status(thm)],]) ).
thf(103,plain,
( ~ sP152
| sP63 ),
inference(all_rule,[status(thm)],]) ).
thf(104,plain,
( ~ sP63
| sP116 ),
inference(all_rule,[status(thm)],]) ).
thf(105,plain,
( ~ sP116
| sP50
| ~ sP105 ),
inference(prop_rule,[status(thm)],]) ).
thf(106,plain,
( ~ sP50
| ~ sP77
| ~ sP96 ),
inference(prop_rule,[status(thm)],]) ).
thf(107,plain,
( ~ sP6
| sP41 ),
inference(all_rule,[status(thm)],]) ).
thf(108,plain,
( ~ sP41
| sP163
| ~ sP139 ),
inference(prop_rule,[status(thm)],]) ).
thf(109,plain,
( ~ sP163
| ~ sP72
| ~ sP96 ),
inference(prop_rule,[status(thm)],]) ).
thf(110,plain,
( ~ sP152
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(111,plain,
( ~ sP6
| sP107 ),
inference(all_rule,[status(thm)],]) ).
thf(112,plain,
( ~ sP107
| sP120
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(113,plain,
( ~ sP120
| ~ sP72
| ~ sP77 ),
inference(prop_rule,[status(thm)],]) ).
thf(114,plain,
( ~ sP110
| sP125 ),
inference(all_rule,[status(thm)],]) ).
thf(115,plain,
( ~ sP125
| sP46
| ~ sP118 ),
inference(prop_rule,[status(thm)],]) ).
thf(116,plain,
( ~ sP46
| ~ sP100
| ~ sP96 ),
inference(prop_rule,[status(thm)],]) ).
thf(117,plain,
( ~ sP110
| sP21 ),
inference(all_rule,[status(thm)],]) ).
thf(118,plain,
( ~ sP21
| sP20
| ~ sP64 ),
inference(prop_rule,[status(thm)],]) ).
thf(119,plain,
( ~ sP20
| ~ sP100
| ~ sP77 ),
inference(prop_rule,[status(thm)],]) ).
thf(120,plain,
( ~ sP152
| sP110 ),
inference(all_rule,[status(thm)],]) ).
thf(121,plain,
( ~ sP110
| sP32 ),
inference(all_rule,[status(thm)],]) ).
thf(122,plain,
( ~ sP32
| sP15
| ~ sP132 ),
inference(prop_rule,[status(thm)],]) ).
thf(123,plain,
( ~ sP15
| ~ sP100
| ~ sP72 ),
inference(prop_rule,[status(thm)],]) ).
thf(124,plain,
( ~ sP45
| sP87 ),
inference(all_rule,[status(thm)],]) ).
thf(125,plain,
( ~ sP87
| sP89
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(126,plain,
( ~ sP89
| ~ sP58
| ~ sP96 ),
inference(prop_rule,[status(thm)],]) ).
thf(127,plain,
( ~ sP45
| sP82 ),
inference(all_rule,[status(thm)],]) ).
thf(128,plain,
( ~ sP82
| sP104
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(129,plain,
( ~ sP104
| ~ sP58
| ~ sP77 ),
inference(prop_rule,[status(thm)],]) ).
thf(130,plain,
( ~ sP45
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(131,plain,
( ~ sP16
| sP69
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(132,plain,
( ~ sP69
| ~ sP58
| ~ sP72 ),
inference(prop_rule,[status(thm)],]) ).
thf(133,plain,
( ~ sP152
| sP45 ),
inference(all_rule,[status(thm)],]) ).
thf(134,plain,
( ~ sP45
| sP137 ),
inference(all_rule,[status(thm)],]) ).
thf(135,plain,
( ~ sP137
| sP99
| ~ sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(136,plain,
( ~ sP99
| ~ sP58
| ~ sP100 ),
inference(prop_rule,[status(thm)],]) ).
thf(137,plain,
( ~ sP68
| sP127 ),
inference(all_rule,[status(thm)],]) ).
thf(138,plain,
( ~ sP11
| sP152 ),
inference(all_rule,[status(thm)],]) ).
thf(139,plain,
( ~ sP109
| sP147
| sP100 ),
inference(prop_rule,[status(thm)],]) ).
thf(140,plain,
( ~ sP135
| sP74
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(141,plain,
( ~ sP40
| sP55
| sP72 ),
inference(prop_rule,[status(thm)],]) ).
thf(142,plain,
( sP154
| sP109 ),
inference(prop_rule,[status(thm)],]) ).
thf(143,plain,
( sP154
| sP135 ),
inference(prop_rule,[status(thm)],]) ).
thf(144,plain,
( ~ sP153
| sP122
| sP77 ),
inference(prop_rule,[status(thm)],]) ).
thf(145,plain,
( sP49
| sP40 ),
inference(prop_rule,[status(thm)],]) ).
thf(146,plain,
( sP49
| ~ sP154 ),
inference(prop_rule,[status(thm)],]) ).
thf(147,plain,
( ~ sP121
| sP158
| sP96 ),
inference(prop_rule,[status(thm)],]) ).
thf(148,plain,
( sP36
| sP153 ),
inference(prop_rule,[status(thm)],]) ).
thf(149,plain,
( sP36
| ~ sP49 ),
inference(prop_rule,[status(thm)],]) ).
thf(150,plain,
( ~ sP22
| sP14
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(151,plain,
( sP80
| sP121 ),
inference(prop_rule,[status(thm)],]) ).
thf(152,plain,
( sP80
| ~ sP36 ),
inference(prop_rule,[status(thm)],]) ).
thf(153,plain,
( ~ sP30
| sP17
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(154,plain,
( sP111
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(155,plain,
( sP111
| ~ sP80 ),
inference(prop_rule,[status(thm)],]) ).
thf(156,plain,
( ~ sP29
| sP61
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(157,plain,
( sP88
| sP30 ),
inference(prop_rule,[status(thm)],]) ).
thf(158,plain,
( sP88
| ~ sP111 ),
inference(prop_rule,[status(thm)],]) ).
thf(159,plain,
( ~ sP5
| sP54
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(160,plain,
( sP39
| sP29 ),
inference(prop_rule,[status(thm)],]) ).
thf(161,plain,
( sP39
| ~ sP88 ),
inference(prop_rule,[status(thm)],]) ).
thf(162,plain,
( ~ sP156
| sP148
| sP132 ),
inference(prop_rule,[status(thm)],]) ).
thf(163,plain,
( sP114
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(164,plain,
( sP114
| ~ sP39 ),
inference(prop_rule,[status(thm)],]) ).
thf(165,plain,
( ~ sP112
| sP106
| sP64 ),
inference(prop_rule,[status(thm)],]) ).
thf(166,plain,
( sP2
| sP156 ),
inference(prop_rule,[status(thm)],]) ).
thf(167,plain,
( sP2
| ~ sP114 ),
inference(prop_rule,[status(thm)],]) ).
thf(168,plain,
( ~ sP86
| sP47
| sP118 ),
inference(prop_rule,[status(thm)],]) ).
thf(169,plain,
( sP113
| sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(170,plain,
( sP113
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(171,plain,
( ~ sP98
| sP160
| sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(172,plain,
( sP131
| sP86 ),
inference(prop_rule,[status(thm)],]) ).
thf(173,plain,
( sP131
| ~ sP113 ),
inference(prop_rule,[status(thm)],]) ).
thf(174,plain,
( ~ sP103
| sP145
| sP139 ),
inference(prop_rule,[status(thm)],]) ).
thf(175,plain,
( sP126
| sP98 ),
inference(prop_rule,[status(thm)],]) ).
thf(176,plain,
( sP126
| ~ sP131 ),
inference(prop_rule,[status(thm)],]) ).
thf(177,plain,
( ~ sP34
| sP18
| sP105 ),
inference(prop_rule,[status(thm)],]) ).
thf(178,plain,
( sP151
| sP103 ),
inference(prop_rule,[status(thm)],]) ).
thf(179,plain,
( sP151
| ~ sP126 ),
inference(prop_rule,[status(thm)],]) ).
thf(180,plain,
( sP115
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(181,plain,
( sP115
| sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(182,plain,
( sP1
| sP34 ),
inference(prop_rule,[status(thm)],]) ).
thf(183,plain,
( sP1
| ~ sP151 ),
inference(prop_rule,[status(thm)],]) ).
thf(184,plain,
( sP119
| ~ sP115 ),
inference(prop_rule,[status(thm)],]) ).
thf(185,plain,
( sP119
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(186,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,h0]) ).
thf(0,theorem,
sP119,
inference(contra,[status(thm),contra(discharge,[h0])],[186,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO179^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 07:07:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 26.39/26.32 % SZS status Theorem
% 26.39/26.32 % Mode: mode454
% 26.39/26.32 % Inferences: 1220
% 26.39/26.32 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------