TSTP Solution File: PUZ094^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : PUZ094^5 : 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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:26:02 EDT 2022
% Result : Theorem 0.37s 0.59s
% Output : Proof 0.37s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_plant,type,
plant: $i > $o ).
thf(ty_fox,type,
fox: $i > $o ).
thf(ty_bird,type,
bird: $i > $o ).
thf(ty_a_grain,type,
a_grain: $i ).
thf(ty_a_wolf,type,
a_wolf: $i ).
thf(ty_sf,type,
sf: $i > $i ).
thf(ty_a_bird,type,
a_bird: $i ).
thf(ty_msmaller,type,
msmaller: $i > $i > $o ).
thf(ty_a_snail,type,
a_snail: $i ).
thf(ty_grain,type,
grain: $i > $o ).
thf(ty_animal,type,
animal: $i > $o ).
thf(ty_eats,type,
eats: $i > $i > $o ).
thf(ty_wolf,type,
wolf: $i > $o ).
thf(ty_snail,type,
snail: $i > $o ).
thf(ty_a_fox,type,
a_fox: $i ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i] :
( ~ ( eats @ X1 @ ( sf @ X1 ) )
=> ~ ( snail @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
( ~ ( animal @ X1 )
=> ~ ( wolf @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( msmaller @ a_fox @ a_wolf ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ ( ( bird @ a_bird )
=> ~ ( snail @ a_snail ) )
=> ~ ( eats @ a_bird @ a_snail ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ~ ( ~ ( ~ ( eats @ a_fox @ ( sf @ a_snail ) )
=> ( eats @ a_fox @ a_bird ) )
=> ~ ( animal @ a_fox ) )
=> ~ ( plant @ ( sf @ a_snail ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( msmaller @ a_bird @ a_fox ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( msmaller @ X1 @ X2 )
=> ~ ( fox @ X1 ) )
=> ~ ( wolf @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( eats @ a_wolf @ a_fox ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i] :
( ~ ( ~ ( msmaller @ a_fox @ X1 )
=> ~ ( fox @ a_fox ) )
=> ~ ( wolf @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i] :
( ~ ( ( wolf @ X1 )
=> ~ ( fox @ a_fox ) )
=> ~ ( eats @ X1 @ a_fox ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ X1 @ X2 )
=> ( eats @ X1 @ X3 ) )
=> ~ ( animal @ X1 ) )
=> ~ ( plant @ X2 ) )
=> ~ ( animal @ X3 ) )
=> ~ ( plant @ X4 ) )
=> ~ ( msmaller @ X3 @ X1 ) )
=> ~ ( eats @ X3 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( eats @ a_bird @ ( sf @ a_snail ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ~ ( ~ ( ~ sP12
=> ( eats @ a_bird @ a_snail ) )
=> ~ ( animal @ a_bird ) )
=> ~ ( plant @ ( sf @ a_snail ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ~ ( ( wolf @ a_wolf )
=> ~ ( fox @ a_fox ) )
=> ~ sP8 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ~ sP12
=> ( eats @ a_bird @ a_snail ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ~ ( ~ ( msmaller @ a_snail @ a_bird )
=> ~ ( snail @ a_snail ) )
=> ~ ( bird @ a_bird ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ~ ( ~ sP6
=> ~ ( bird @ a_bird ) )
=> ~ ( fox @ a_fox ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( ~ ( ~ ( ~ ( ~ sP13
=> ~ ( animal @ a_snail ) )
=> ~ ( plant @ ( sf @ a_snail ) ) )
=> ~ ( msmaller @ a_snail @ a_bird ) )
=> ~ ( eats @ a_snail @ ( sf @ a_snail ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_wolf @ X1 )
=> ( eats @ a_wolf @ X2 ) )
=> ~ ( animal @ a_wolf ) )
=> ~ ( plant @ X1 ) )
=> ~ ( animal @ X2 ) )
=> ~ ( plant @ X3 ) )
=> ~ ( msmaller @ X2 @ a_wolf ) )
=> ~ ( eats @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ~ ( ~ sP13
=> ~ ( animal @ a_snail ) )
=> ~ ( plant @ ( sf @ a_snail ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: $i,X2: $i] :
( ~ ( ( wolf @ X1 )
=> ~ ( grain @ X2 ) )
=> ~ ( eats @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_bird @ X1 )
=> ( eats @ a_bird @ X2 ) )
=> ~ ( animal @ a_bird ) )
=> ~ ( plant @ X1 ) )
=> ~ ( animal @ X2 ) )
=> ~ ( plant @ X3 ) )
=> ~ ( msmaller @ X2 @ a_bird ) )
=> ~ ( eats @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ~ ( eats @ a_wolf @ a_grain )
=> sP8 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ~ sP3
=> ~ ( fox @ a_fox ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( eats @ a_wolf @ a_grain ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP23
=> ~ ( animal @ a_wolf ) )
=> ~ ( plant @ a_grain ) )
=> ~ ( animal @ a_fox ) )
=> ~ ( plant @ X1 ) )
=> ~ sP3 )
=> ~ ( eats @ a_fox @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( ( bird @ a_bird )
=> ~ ( snail @ a_snail ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( animal @ a_bird ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( ~ ( plant @ a_grain )
=> ~ ( grain @ a_grain ) ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ~ sP5
=> ~ sP28 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ( wolf @ a_wolf )
=> ~ ( grain @ a_grain ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( eats @ a_fox @ a_bird ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ! [X1: $i] :
( ~ ( ~ ( msmaller @ a_snail @ X1 )
=> ~ ( snail @ a_snail ) )
=> ~ ( bird @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( ~ ( animal @ a_wolf )
=> ~ ( wolf @ a_wolf ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: $i] :
( ~ ( ~ ( msmaller @ a_bird @ X1 )
=> ~ ( bird @ a_bird ) )
=> ~ ( fox @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( ~ ( ~ ( ~ ( ( animal @ a_fox )
=> ~ sP28 )
=> ~ ( grain @ a_grain ) )
=> ~ sP32 )
=> ~ ( eats @ a_bird @ a_grain ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( eats @ a_bird @ a_snail ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ! [X1: $i,X2: $i] :
( ~ ( ( wolf @ X2 )
=> ~ ( fox @ X1 ) )
=> ~ ( eats @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ~ ( ~ ( ( animal @ a_fox )
=> ~ sP28 )
=> ~ ( grain @ a_grain ) )
=> ~ sP32 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( ( animal @ a_fox )
=> ~ sP28 ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( ~ ( ~ ( ~ sP23
=> ~ ( animal @ a_wolf ) )
=> ~ ( plant @ a_grain ) )
=> ~ ( animal @ a_fox ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ! [X1: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_bird @ a_grain )
=> sP37 )
=> ~ sP28 )
=> ~ ( plant @ a_grain ) )
=> ~ ( animal @ a_snail ) )
=> ~ ( plant @ X1 ) )
=> ~ ( msmaller @ a_snail @ a_bird ) )
=> ~ ( eats @ a_snail @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_fox @ ( sf @ a_snail ) )
=> ( eats @ a_fox @ X1 ) )
=> ~ ( animal @ a_fox ) )
=> ~ ( plant @ ( sf @ a_snail ) ) )
=> ~ ( animal @ X1 ) )
=> ~ ( plant @ X2 ) )
=> ~ ( msmaller @ X1 @ a_fox ) )
=> ~ ( eats @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( animal @ a_fox ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( ( wolf @ a_wolf )
=> ~ ( fox @ a_fox ) ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ! [X1: $i] :
( ~ ( animal @ X1 )
=> ~ ( snail @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( ~ ( msmaller @ a_snail @ a_bird )
=> ~ ( snail @ a_snail ) ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ! [X1: $i] :
( ~ ( animal @ X1 )
=> ~ ( fox @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( ~ ( ~ ( eats @ a_fox @ ( sf @ a_snail ) )
=> sP32 )
=> ~ sP44 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP25
=> ( eats @ a_wolf @ X1 ) )
=> ~ ( animal @ a_wolf ) )
=> ~ ( plant @ a_grain ) )
=> ~ ( animal @ X1 ) )
=> ~ ( plant @ X2 ) )
=> ~ ( msmaller @ X1 @ a_wolf ) )
=> ~ ( eats @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( animal @ a_snail ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_bird @ a_grain )
=> sP37 )
=> ~ sP28 )
=> ~ ( plant @ a_grain ) )
=> ~ sP51 )
=> ~ ( plant @ ( sf @ a_snail ) ) ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( ~ ( ~ sP23
=> ~ ( animal @ a_wolf ) )
=> ~ ( plant @ a_grain ) ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( snail @ a_snail ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( msmaller @ X1 @ X2 )
=> ~ ( snail @ X1 ) )
=> ~ ( bird @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ! [X1: $i] :
( ~ ( plant @ X1 )
=> ~ ( grain @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( ~ ( eats @ a_snail @ ( sf @ a_snail ) )
=> ~ sP54 ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( ~ sP20
=> ~ ( msmaller @ a_snail @ a_bird ) ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( ~ ( ~ ( ~ ( eats @ a_bird @ a_grain )
=> sP37 )
=> ~ sP28 )
=> ~ ( plant @ a_grain ) ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ! [X1: $i] :
( ~ ( ~ ( ~ ( ~ sP13
=> ~ sP51 )
=> ~ ( plant @ X1 ) )
=> ~ ( msmaller @ a_snail @ a_bird ) )
=> ~ ( eats @ a_snail @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( eats @ a_fox @ ( sf @ a_snail ) ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( ~ sP40
=> ~ ( grain @ a_grain ) ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ( animal @ a_wolf ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ! [X1: $i] :
( ~ ( ~ ( ~ sP30
=> ~ ( plant @ X1 ) )
=> ~ sP6 )
=> ~ ( eats @ a_bird @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( ~ sP6
=> ~ ( bird @ a_bird ) ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ( ~ sP15
=> ~ sP28 ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ( ~ ( ~ sP52
=> ~ ( msmaller @ a_snail @ a_bird ) )
=> ~ ( eats @ a_snail @ ( sf @ a_snail ) ) ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ( plant @ a_grain ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ( ~ ( ~ ( ~ sP41
=> ~ ( plant @ ( sf @ a_snail ) ) )
=> ~ sP3 )
=> ~ sP61 ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( ~ ( plant @ ( sf @ a_snail ) )
=> ~ sP54 ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ( wolf @ a_wolf ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ! [X1: $i] :
( ~ ( plant @ ( sf @ X1 ) )
=> ~ ( snail @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ( plant @ ( sf @ a_snail ) ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ( ~ sP30
=> ~ sP73 ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ~ ( ~ ( ( animal @ X1 )
=> ~ ( animal @ X2 ) )
=> ~ ( grain @ X3 ) )
=> ~ ( eats @ X1 @ X2 ) )
=> ~ ( eats @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( ~ sP61
=> sP32 ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(sP77,plain,
( sP77
<=> ( ~ sP24
=> ~ sP71 ) ),
introduced(definition,[new_symbols(definition,[sP77])]) ).
thf(sP78,plain,
( sP78
<=> ( ~ sP28
=> ~ ( bird @ a_bird ) ) ),
introduced(definition,[new_symbols(definition,[sP78])]) ).
thf(sP79,plain,
( sP79
<=> ( ~ sP13
=> ~ sP51 ) ),
introduced(definition,[new_symbols(definition,[sP79])]) ).
thf(sP80,plain,
( sP80
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( msmaller @ X1 @ X2 )
=> ~ ( bird @ X1 ) )
=> ~ ( fox @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP80])]) ).
thf(sP81,plain,
( sP81
<=> ! [X1: $i] :
( ~ ( ~ ( ~ sP40
=> ~ ( grain @ X1 ) )
=> ~ sP32 )
=> ~ ( eats @ a_bird @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP81])]) ).
thf(sP82,plain,
( sP82
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP12
=> ( eats @ a_bird @ X1 ) )
=> ~ sP28 )
=> ~ sP73 )
=> ~ ( animal @ X1 ) )
=> ~ ( plant @ X2 ) )
=> ~ ( msmaller @ X1 @ a_bird ) )
=> ~ ( eats @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP82])]) ).
thf(sP83,plain,
( sP83
<=> ( grain @ a_grain ) ),
introduced(definition,[new_symbols(definition,[sP83])]) ).
thf(sP84,plain,
( sP84
<=> ( msmaller @ a_snail @ a_bird ) ),
introduced(definition,[new_symbols(definition,[sP84])]) ).
thf(sP85,plain,
( sP85
<=> ( ~ sP44
=> ~ ( fox @ a_fox ) ) ),
introduced(definition,[new_symbols(definition,[sP85])]) ).
thf(sP86,plain,
( sP86
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_fox @ X1 )
=> ( eats @ a_fox @ X2 ) )
=> ~ sP44 )
=> ~ ( plant @ X1 ) )
=> ~ ( animal @ X2 ) )
=> ~ ( plant @ X3 ) )
=> ~ ( msmaller @ X2 @ a_fox ) )
=> ~ ( eats @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP86])]) ).
thf(sP87,plain,
( sP87
<=> ( fox @ a_fox ) ),
introduced(definition,[new_symbols(definition,[sP87])]) ).
thf(sP88,plain,
( sP88
<=> ( bird @ a_bird ) ),
introduced(definition,[new_symbols(definition,[sP88])]) ).
thf(sP89,plain,
( sP89
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_bird @ a_grain )
=> ( eats @ a_bird @ X1 ) )
=> ~ sP28 )
=> ~ sP68 )
=> ~ ( animal @ X1 ) )
=> ~ ( plant @ X2 ) )
=> ~ ( msmaller @ X1 @ a_bird ) )
=> ~ ( eats @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP89])]) ).
thf(sP90,plain,
( sP90
<=> ( ~ sP59
=> ~ sP51 ) ),
introduced(definition,[new_symbols(definition,[sP90])]) ).
thf(sP91,plain,
( sP91
<=> ( eats @ a_bird @ a_grain ) ),
introduced(definition,[new_symbols(definition,[sP91])]) ).
thf(sP92,plain,
( sP92
<=> ! [X1: $i] :
( ~ ( sP88
=> ~ ( snail @ X1 ) )
=> ~ ( eats @ a_bird @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP92])]) ).
thf(sP93,plain,
( sP93
<=> ( ~ sP91
=> sP37 ) ),
introduced(definition,[new_symbols(definition,[sP93])]) ).
thf(sP94,plain,
( sP94
<=> ( ~ sP23
=> ~ sP63 ) ),
introduced(definition,[new_symbols(definition,[sP94])]) ).
thf(sP95,plain,
( sP95
<=> ( ~ ( ~ sP41
=> ~ sP73 )
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP95])]) ).
thf(sP96,plain,
( sP96
<=> ! [X1: $i,X2: $i] :
( ~ ( ( bird @ X1 )
=> ~ ( snail @ X2 ) )
=> ~ ( eats @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP96])]) ).
thf(sP97,plain,
( sP97
<=> ( ~ sP31
=> ~ sP25 ) ),
introduced(definition,[new_symbols(definition,[sP97])]) ).
thf(sP98,plain,
( sP98
<=> ( ~ sP51
=> ~ sP54 ) ),
introduced(definition,[new_symbols(definition,[sP98])]) ).
thf(sP99,plain,
( sP99
<=> ( ~ sP41
=> ~ sP73 ) ),
introduced(definition,[new_symbols(definition,[sP99])]) ).
thf(sP100,plain,
( sP100
<=> ( eats @ a_snail @ ( sf @ a_snail ) ) ),
introduced(definition,[new_symbols(definition,[sP100])]) ).
thf(sP101,plain,
( sP101
<=> ( ~ sP93
=> ~ sP28 ) ),
introduced(definition,[new_symbols(definition,[sP101])]) ).
thf(sP102,plain,
( sP102
<=> ( ~ ( ~ sP74
=> ~ sP6 )
=> ~ sP12 ) ),
introduced(definition,[new_symbols(definition,[sP102])]) ).
thf(sP103,plain,
( sP103
<=> ! [X1: $i] :
( ~ ( sP71
=> ~ ( grain @ X1 ) )
=> ~ ( eats @ a_wolf @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP103])]) ).
thf(sP104,plain,
( sP104
<=> ( ~ sP52
=> ~ sP84 ) ),
introduced(definition,[new_symbols(definition,[sP104])]) ).
thf(sP105,plain,
( sP105
<=> ! [X1: $i] :
( ~ ( animal @ X1 )
=> ~ ( bird @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP105])]) ).
thf(sP106,plain,
( sP106
<=> ( ~ sP74
=> ~ sP6 ) ),
introduced(definition,[new_symbols(definition,[sP106])]) ).
thf(sP107,plain,
( sP107
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ~ ( sP44
=> ~ ( animal @ X1 ) )
=> ~ ( grain @ X2 ) )
=> ~ ( eats @ a_fox @ X1 ) )
=> ~ ( eats @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP107])]) ).
thf(cPUZ031_2,conjecture,
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 )
=> ~ sP38 )
=> ~ sP21 )
=> ~ sP96 )
=> ~ sP72 )
=> ~ sP1 )
=> ~ sP75 ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 )
=> ~ sP38 )
=> ~ sP21 )
=> ~ sP96 )
=> ~ sP72 )
=> ~ sP1 )
=> ~ sP75 ),
inference(assume_negation,[status(cth)],[cPUZ031_2]) ).
thf(h1,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 )
=> ~ sP38 )
=> ~ sP21 )
=> ~ sP96 )
=> ~ sP72 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP75,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 )
=> ~ sP38 )
=> ~ sP21 )
=> ~ sP96 )
=> ~ sP72 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 )
=> ~ sP38 )
=> ~ sP21 )
=> ~ sP96 ),
introduced(assumption,[]) ).
thf(h6,assumption,
sP72,
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 )
=> ~ sP38 )
=> ~ sP21 ),
introduced(assumption,[]) ).
thf(h8,assumption,
sP96,
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 )
=> ~ sP38 ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP21,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h12,assumption,
sP38,
introduced(assumption,[]) ).
thf(h13,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 ),
introduced(assumption,[]) ).
thf(h14,assumption,
sP7,
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 ),
introduced(assumption,[]) ).
thf(h16,assumption,
sP80,
introduced(assumption,[]) ).
thf(h17,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 ),
introduced(assumption,[]) ).
thf(h18,assumption,
sP55,
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 ),
introduced(assumption,[]) ).
thf(h20,assumption,
sP11,
introduced(assumption,[]) ).
thf(h21,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 ),
introduced(assumption,[]) ).
thf(h22,assumption,
sP56,
introduced(assumption,[]) ).
thf(h23,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 ),
introduced(assumption,[]) ).
thf(h24,assumption,
sP83,
introduced(assumption,[]) ).
thf(h25,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 ),
introduced(assumption,[]) ).
thf(h26,assumption,
sP54,
introduced(assumption,[]) ).
thf(h27,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 ),
introduced(assumption,[]) ).
thf(h28,assumption,
sP88,
introduced(assumption,[]) ).
thf(h29,assumption,
~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 ),
introduced(assumption,[]) ).
thf(h30,assumption,
sP87,
introduced(assumption,[]) ).
thf(h31,assumption,
~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 ),
introduced(assumption,[]) ).
thf(h32,assumption,
sP71,
introduced(assumption,[]) ).
thf(h33,assumption,
~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 ),
introduced(assumption,[]) ).
thf(h34,assumption,
sP46,
introduced(assumption,[]) ).
thf(h35,assumption,
~ ( sP2
=> ~ sP48 ),
introduced(assumption,[]) ).
thf(h36,assumption,
sP105,
introduced(assumption,[]) ).
thf(h37,assumption,
sP2,
introduced(assumption,[]) ).
thf(h38,assumption,
sP48,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP75
| sP107 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP107
| sP81 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP81
| sP36 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP36
| sP39
| ~ sP91 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP39
| sP62
| ~ sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP62
| sP40
| ~ sP83 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP40
| ~ sP44
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP19
| sP50 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP50
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP26
| sP69 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP69
| sP95
| ~ sP61 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP95
| sP99
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP99
| sP41
| ~ sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP41
| sP53
| ~ sP44 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP53
| sP94
| ~ sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP94
| sP23
| ~ sP63 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP23
| sP25
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP11
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP11
| sP86 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP86
| sP43 ),
inference(all_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP43
| sP64 ),
inference(all_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP64
| sP102 ),
inference(all_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP102
| sP106
| ~ sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP106
| sP74
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP74
| sP30
| ~ sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP30
| sP5
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP5
| sP49
| ~ sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP49
| sP76
| ~ sP44 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP76
| sP61
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP22
| sP89 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP89
| sP42 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP42
| sP67 ),
inference(all_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP67
| sP104
| ~ sP100 ),
inference(prop_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP104
| sP52
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(35,plain,
( ~ sP52
| sP90
| ~ sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP90
| sP59
| ~ sP51 ),
inference(prop_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP59
| sP101
| ~ sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP101
| sP93
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(39,plain,
( ~ sP93
| sP91
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( ~ sP22
| sP82 ),
inference(all_rule,[status(thm)],]) ).
thf(41,plain,
( ~ sP82
| sP60 ),
inference(all_rule,[status(thm)],]) ).
thf(42,plain,
( ~ sP60
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(43,plain,
( ~ sP18
| sP58
| ~ sP100 ),
inference(prop_rule,[status(thm)],]) ).
thf(44,plain,
( ~ sP58
| sP20
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(45,plain,
( ~ sP20
| sP79
| ~ sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(46,plain,
( ~ sP79
| sP13
| ~ sP51 ),
inference(prop_rule,[status(thm)],]) ).
thf(47,plain,
( ~ sP13
| sP66
| ~ sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(48,plain,
( ~ sP66
| sP15
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( ~ sP15
| sP12
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( ~ sP11
| sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(51,plain,
( ~ sP2
| sP34 ),
inference(all_rule,[status(thm)],]) ).
thf(52,plain,
( ~ sP34
| sP63
| ~ sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(53,plain,
( ~ sP48
| sP85 ),
inference(all_rule,[status(thm)],]) ).
thf(54,plain,
( ~ sP85
| sP44
| ~ sP87 ),
inference(prop_rule,[status(thm)],]) ).
thf(55,plain,
( ~ sP105
| sP78 ),
inference(all_rule,[status(thm)],]) ).
thf(56,plain,
( ~ sP78
| sP28
| ~ sP88 ),
inference(prop_rule,[status(thm)],]) ).
thf(57,plain,
( ~ sP46
| sP98 ),
inference(all_rule,[status(thm)],]) ).
thf(58,plain,
( ~ sP98
| sP51
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(59,plain,
( ~ sP21
| sP103 ),
inference(all_rule,[status(thm)],]) ).
thf(60,plain,
( ~ sP103
| sP97 ),
inference(all_rule,[status(thm)],]) ).
thf(61,plain,
( ~ sP97
| sP31
| ~ sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(62,plain,
( ~ sP31
| ~ sP71
| ~ sP83 ),
inference(prop_rule,[status(thm)],]) ).
thf(63,plain,
( ~ sP7
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(64,plain,
( ~ sP9
| sP77 ),
inference(all_rule,[status(thm)],]) ).
thf(65,plain,
( ~ sP77
| sP24
| ~ sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(66,plain,
( ~ sP24
| sP3
| ~ sP87 ),
inference(prop_rule,[status(thm)],]) ).
thf(67,plain,
( ~ sP38
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(68,plain,
( ~ sP10
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(69,plain,
( ~ sP14
| sP45
| ~ sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(70,plain,
( ~ sP45
| ~ sP71
| ~ sP87 ),
inference(prop_rule,[status(thm)],]) ).
thf(71,plain,
( ~ sP80
| sP35 ),
inference(all_rule,[status(thm)],]) ).
thf(72,plain,
( ~ sP35
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(73,plain,
( ~ sP17
| sP65
| ~ sP87 ),
inference(prop_rule,[status(thm)],]) ).
thf(74,plain,
( ~ sP65
| sP6
| ~ sP88 ),
inference(prop_rule,[status(thm)],]) ).
thf(75,plain,
( ~ sP55
| sP33 ),
inference(all_rule,[status(thm)],]) ).
thf(76,plain,
( ~ sP33
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(77,plain,
( ~ sP16
| sP47
| ~ sP88 ),
inference(prop_rule,[status(thm)],]) ).
thf(78,plain,
( ~ sP47
| sP84
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(79,plain,
( ~ sP96
| sP92 ),
inference(all_rule,[status(thm)],]) ).
thf(80,plain,
( ~ sP92
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(81,plain,
( ~ sP4
| sP27
| ~ sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(82,plain,
( ~ sP27
| ~ sP88
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(83,plain,
( ~ sP1
| sP57 ),
inference(all_rule,[status(thm)],]) ).
thf(84,plain,
( ~ sP57
| sP100
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(85,plain,
( ~ sP72
| sP70 ),
inference(all_rule,[status(thm)],]) ).
thf(86,plain,
( ~ sP70
| sP73
| ~ sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(87,plain,
( ~ sP56
| sP29 ),
inference(all_rule,[status(thm)],]) ).
thf(88,plain,
( ~ sP29
| sP68
| ~ sP83 ),
inference(prop_rule,[status(thm)],]) ).
thf(89,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h37,h38,h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,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,h37,h38,h36,h34,h32,h30,h28,h26,h24,h22,h20,h18,h16,h14,h12,h10,h8,h6,h4,h2]) ).
thf(90,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h37,h38])],[h35,89,h37,h38]) ).
thf(91,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h35,h36])],[h33,90,h35,h36]) ).
thf(92,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h33,h34])],[h31,91,h33,h34]) ).
thf(93,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h31,h32])],[h29,92,h31,h32]) ).
thf(94,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h29,h30])],[h27,93,h29,h30]) ).
thf(95,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h27,h28])],[h25,94,h27,h28]) ).
thf(96,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h25,h26])],[h23,95,h25,h26]) ).
thf(97,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h21,96,h23,h24]) ).
thf(98,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h19,97,h21,h22]) ).
thf(99,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,98,h19,h20]) ).
thf(100,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,99,h17,h18]) ).
thf(101,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h13,100,h15,h16]) ).
thf(102,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,101,h13,h14]) ).
thf(103,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,102,h11,h12]) ).
thf(104,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,103,h9,h10]) ).
thf(105,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h5,104,h7,h8]) ).
thf(106,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,105,h5,h6]) ).
thf(107,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,106,h3,h4]) ).
thf(108,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,107,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP48 )
=> ~ sP105 )
=> ~ sP46 )
=> ~ sP71 )
=> ~ sP87 )
=> ~ sP88 )
=> ~ sP54 )
=> ~ sP83 )
=> ~ sP56 )
=> ~ sP11 )
=> ~ sP55 )
=> ~ sP80 )
=> ~ sP7 )
=> ~ sP38 )
=> ~ sP21 )
=> ~ sP96 )
=> ~ sP72 )
=> ~ sP1 )
=> ~ sP75 ),
inference(contra,[status(thm),contra(discharge,[h0])],[108,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ094^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 02:40:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/0.59 % SZS status Theorem
% 0.37/0.59 % Mode: mode213
% 0.37/0.59 % Inferences: 52
% 0.37/0.59 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------