%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO500^1.007 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n027.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 : Thu Oct 9 03:25:53 PM UTC 2025
% Result : Theorem 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_f6,type,
f6: $o > $o ).
thf(ty_f4,type,
f4: $o > $o ).
thf(ty_f0,type,
f0: $o > $o ).
thf(ty_f3,type,
f3: $o > $o ).
thf(ty_f2,type,
f2: $o > $o ).
thf(ty_f1,type,
f1: $o > $o ).
thf(ty_f5,type,
f5: $o > $o ).
thf(ty_x,type,
x: $o ).
thf(sP1,plain,
( sP1
<=> ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( f5 @ ( f6 @ x ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
= sP2 )
=> ( sP2
= ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( f6 @ ( f6 @ x ) )
= ( f6 @ x ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( f2 @ ( f2 @ sP6 ) )
= ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ sP4 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) )
= ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( f1 @ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( f2 @ ( f2 @ sP6 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( f3 @ ( f4 @ ( f5 @ ( f5 @ sP4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( f4 @ ( f5 @ ( f5 @ sP4 ) ) )
= ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ( f5 @ sP4 )
= sP4 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( sP3 = sP10 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP2 = sP11 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( sP2
= ( f1 @ ( f2 @ ( f3 @ ( f3 @ sP12 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( f6 @ x ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( sP4
= ( f5 @ sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( sP3
= ( f0 @ sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ( ( f3 @ ( f3 @ sP12 ) )
= ( f2 @ sP6 ) )
=> ( ( f2 @ sP6 )
= ( f3 @ ( f3 @ sP12 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ sP20 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( f4 @ ( f5 @ ( f5 @ sP4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( f4 @ ( f5 @ ( f6 @ ( f6 @ sP20 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( f2 @ sP6 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( f3 @ ( f3 @ sP12 ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( f5 @ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( sP11
= ( f2 @ sP28 ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( sP20
= ( f6 @ ( f6 @ sP20 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( f6 @ ( f6 @ sP20 ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( f5 @ sP29 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( sP13 = sP28 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: $o] :
( ( sP11 = X1 )
=> ( X1 = sP11 ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( ( f5 @ sP32 )
= sP33 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( sP33
= ( f5 @ sP32 ) ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( sP33 = sP26 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( x
= ( f6 @ sP20 ) ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( sP29 = sP32 ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( ( f4 @ sP24 )
= sP12 ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( ( sP20 = x )
=> ( x = sP20 ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( ( f2 @ sP28 )
= sP11 ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( sP33 = sP24 ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( ( sP20
= ( f6 @ sP20 ) )
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( sP28 = sP13 ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( ( f0 @ sP3 )
= sP10 ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ( sP24 = sP26 ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( f1 @ ( f2 @ sP28 ) ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ( f3 @ sP12 ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( sP32 = sP20 ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( sP10
= ( f0 @ sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( f2 @ sP28 ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( sP44
=> ( sP24 = sP33 ) ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> x ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( f0 @ ( f0 @ sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( ( f4 @ sP24 )
= sP50 ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( ( f4 @ sP24 )
= sP25 ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( sP49 = sP53 ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ( sP28 = sP27 ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( ( f6 @ sP20 )
= sP55 ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( sP11 = sP2 ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ( ( sP32 = sP29 )
=> sP40 ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( sP12 = sP50 ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( ( f0 @ sP3 )
= sP3 ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ( sP10 = sP56 ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ! [X1: $o] :
( ( sP33 = X1 )
=> ( X1 = sP33 ) ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ( f5 @ sP32 ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ! [X1: $o] :
( ( sP28 = X1 )
=> ( X1 = sP28 ) ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( sP6 = sP27 ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ( f0 @ sP56 ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ( sP28 = sP6 ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ( sP53 = sP49 ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ( sP49 = sP2 ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( f6 @ sP20 ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( sP20 = sP55 ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(sP77,plain,
( sP77
<=> ( sP27 = sP28 ) ),
introduced(definition,[new_symbols(definition,[sP77])]) ).
thf(sP78,plain,
( sP78
<=> ( sP20 = sP75 ) ),
introduced(definition,[new_symbols(definition,[sP78])]) ).
thf(sP79,plain,
( sP79
<=> ( sP50
= ( f4 @ sP24 ) ) ),
introduced(definition,[new_symbols(definition,[sP79])]) ).
thf(sP80,plain,
( sP80
<=> ( ( f0 @ sP3 )
= sP56 ) ),
introduced(definition,[new_symbols(definition,[sP80])]) ).
thf(sP81,plain,
( sP81
<=> ( sP26 = sP24 ) ),
introduced(definition,[new_symbols(definition,[sP81])]) ).
thf(sP82,plain,
( sP82
<=> ( sP32 = sP29 ) ),
introduced(definition,[new_symbols(definition,[sP82])]) ).
thf(sP83,plain,
( sP83
<=> ( sP27 = sP6 ) ),
introduced(definition,[new_symbols(definition,[sP83])]) ).
thf(sP84,plain,
( sP84
<=> ( sP6 = sP13 ) ),
introduced(definition,[new_symbols(definition,[sP84])]) ).
thf(sP85,plain,
( sP85
<=> ( sP24 = sP33 ) ),
introduced(definition,[new_symbols(definition,[sP85])]) ).
thf(sP86,plain,
( sP86
<=> ( sP56
= ( f0 @ sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP86])]) ).
thf(sP87,plain,
( sP87
<=> ( sP50 = sP12 ) ),
introduced(definition,[new_symbols(definition,[sP87])]) ).
thf(sP88,plain,
( sP88
<=> ! [X1: $o] :
( ( ( f4 @ sP24 )
= X1 )
=> ( X1
= ( f4 @ sP24 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP88])]) ).
thf(sP89,plain,
( sP89
<=> ( f4 @ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP89])]) ).
thf(sP90,plain,
( sP90
<=> ( sP55 = sP20 ) ),
introduced(definition,[new_symbols(definition,[sP90])]) ).
thf(sP91,plain,
( sP91
<=> ( sP57
=> sP79 ) ),
introduced(definition,[new_symbols(definition,[sP91])]) ).
thf(sP92,plain,
( sP92
<=> ( sP4 = sP20 ) ),
introduced(definition,[new_symbols(definition,[sP92])]) ).
thf(sP93,plain,
( sP93
<=> ( sP56 = sP10 ) ),
introduced(definition,[new_symbols(definition,[sP93])]) ).
thf(sP94,plain,
( sP94
<=> ! [X1: $o] :
( ( sP20 = X1 )
=> ( X1 = sP20 ) ) ),
introduced(definition,[new_symbols(definition,[sP94])]) ).
thf(sP95,plain,
( sP95
<=> ( sP10 = sP3 ) ),
introduced(definition,[new_symbols(definition,[sP95])]) ).
thf(sP96,plain,
( sP96
<=> ( sP12 = sP89 ) ),
introduced(definition,[new_symbols(definition,[sP96])]) ).
thf(sP97,plain,
( sP97
<=> ! [X1: $o] :
( ( sP32 = X1 )
=> ( X1 = sP32 ) ) ),
introduced(definition,[new_symbols(definition,[sP97])]) ).
thf(sP98,plain,
( sP98
<=> ( f0 @ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP98])]) ).
thf(sP99,plain,
( sP99
<=> ( sP20 = sP4 ) ),
introduced(definition,[new_symbols(definition,[sP99])]) ).
thf(kaminski7,conjecture,
sP1 = sP71 ).
thf(h0,negated_conjecture,
sP1 != sP71,
inference(assume_negation,[status(cth)],[kaminski7]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
sP71,
introduced(assumption,[]) ).
thf(h3,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP71,
introduced(assumption,[]) ).
thf(1,plain,
( sP78
| ~ sP20
| ~ sP75 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( sP78
| sP20
| sP75 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP45
| ~ sP78
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP94
| sP45 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
( sP76
| ~ sP20
| ~ sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( sP76
| sP20
| sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP42
| ~ sP76
| sP90 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP94
| sP42 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP32
| sP75
| ~ sP7 ),
inference(mating_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP20
| sP75
| ~ sP90 ),
inference(mating_rule,[status(thm)],[]) ).
thf(11,plain,
( ~ sP75
| sP32
| ~ sP78 ),
inference(mating_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP75
| sP20
| ~ sP76 ),
inference(mating_rule,[status(thm)],[]) ).
thf(13,plain,
( sP61
| ~ sP75
| ~ sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(14,plain,
( sP39
| sP55
| sP75 ),
inference(prop_rule,[status(thm)],[]) ).
thf(15,plain,
( ~ sP32
| sP20
| ~ sP61 ),
inference(mating_rule,[status(thm)],[]) ).
thf(16,plain,
( ~ sP20
| sP32
| ~ sP39 ),
inference(mating_rule,[status(thm)],[]) ).
thf(17,plain,
( sP51
| ~ sP32
| ~ sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(18,plain,
( sP92
| sP4
| sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( sP31
| sP20
| sP32 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
( sP99
| ~ sP20
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(21,plain,
( ~ sP18
| sP94 ),
inference(all_rule,[status(thm)],[]) ).
thf(22,plain,
( ~ sP68
| sP4
| ~ sP51 ),
inference(mating_rule,[status(thm)],[]) ).
thf(23,plain,
( ~ sP29
| sP4
| ~ sP92 ),
inference(mating_rule,[status(thm)],[]) ).
thf(24,plain,
( ~ sP4
| sP68
| ~ sP31 ),
inference(mating_rule,[status(thm)],[]) ).
thf(25,plain,
( ~ sP4
| sP29
| ~ sP99 ),
inference(mating_rule,[status(thm)],[]) ).
thf(26,plain,
( sP15
| sP29
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(27,plain,
( sP21
| ~ sP4
| ~ sP29 ),
inference(prop_rule,[status(thm)],[]) ).
thf(28,plain,
( ~ sP33
| sP29
| ~ sP15 ),
inference(mating_rule,[status(thm)],[]) ).
thf(29,plain,
( ~ sP29
| sP33
| ~ sP21 ),
inference(mating_rule,[status(thm)],[]) ).
thf(30,plain,
( sP82
| ~ sP32
| ~ sP29 ),
inference(prop_rule,[status(thm)],[]) ).
thf(31,plain,
( sP82
| sP32
| sP29 ),
inference(prop_rule,[status(thm)],[]) ).
thf(32,plain,
( ~ sP63
| ~ sP82
| sP40 ),
inference(prop_rule,[status(thm)],[]) ).
thf(33,plain,
( ~ sP97
| sP63 ),
inference(all_rule,[status(thm)],[]) ).
thf(34,plain,
( ~ sP18
| sP97 ),
inference(all_rule,[status(thm)],[]) ).
thf(35,plain,
( ~ sP33
| sP68
| ~ sP40 ),
inference(mating_rule,[status(thm)],[]) ).
thf(36,plain,
( ~ sP68
| sP33
| ~ sP82 ),
inference(mating_rule,[status(thm)],[]) ).
thf(37,plain,
( sP37
| ~ sP33
| ~ sP68 ),
inference(prop_rule,[status(thm)],[]) ).
thf(38,plain,
( sP9
| sP26
| sP68 ),
inference(prop_rule,[status(thm)],[]) ).
thf(39,plain,
( sP36
| ~ sP68
| ~ sP33 ),
inference(prop_rule,[status(thm)],[]) ).
thf(40,plain,
( sP36
| sP68
| sP33 ),
inference(prop_rule,[status(thm)],[]) ).
thf(41,plain,
( ~ sP25
| sP26
| ~ sP37 ),
inference(mating_rule,[status(thm)],[]) ).
thf(42,plain,
( ~ sP24
| sP26
| ~ sP9 ),
inference(mating_rule,[status(thm)],[]) ).
thf(43,plain,
( ~ sP26
| sP25
| ~ sP36 ),
inference(mating_rule,[status(thm)],[]) ).
thf(44,plain,
( sP48
| sP24
| sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(45,plain,
( sP38
| ~ sP33
| ~ sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(46,plain,
( sP81
| ~ sP26
| ~ sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(47,plain,
( ~ sP89
| sP24
| ~ sP48 ),
inference(mating_rule,[status(thm)],[]) ).
thf(48,plain,
( ~ sP25
| sP24
| ~ sP38 ),
inference(mating_rule,[status(thm)],[]) ).
thf(49,plain,
( ~ sP24
| sP89
| ~ sP81 ),
inference(mating_rule,[status(thm)],[]) ).
thf(50,plain,
( sP44
| ~ sP33
| ~ sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(51,plain,
( sP44
| sP33
| sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(52,plain,
( ~ sP54
| ~ sP44
| sP85 ),
inference(prop_rule,[status(thm)],[]) ).
thf(53,plain,
( ~ sP67
| sP54 ),
inference(all_rule,[status(thm)],[]) ).
thf(54,plain,
( ~ sP18
| sP67 ),
inference(all_rule,[status(thm)],[]) ).
thf(55,plain,
( ~ sP89
| sP25
| ~ sP85 ),
inference(mating_rule,[status(thm)],[]) ).
thf(56,plain,
( ~ sP25
| sP89
| ~ sP44 ),
inference(mating_rule,[status(thm)],[]) ).
thf(57,plain,
( sP58
| ~ sP89
| ~ sP25 ),
inference(prop_rule,[status(thm)],[]) ).
thf(58,plain,
( sP58
| sP89
| sP25 ),
inference(prop_rule,[status(thm)],[]) ).
thf(59,plain,
( sP14
| ~ sP25
| ~ sP89 ),
inference(prop_rule,[status(thm)],[]) ).
thf(60,plain,
( sP14
| sP25
| sP89 ),
inference(prop_rule,[status(thm)],[]) ).
thf(61,plain,
( ~ sP13
| sP12
| ~ sP58 ),
inference(mating_rule,[status(thm)],[]) ).
thf(62,plain,
( ~ sP12
| sP13
| ~ sP14 ),
inference(mating_rule,[status(thm)],[]) ).
thf(63,plain,
( sP87
| sP50
| sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(64,plain,
( sP41
| ~ sP89
| ~ sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(65,plain,
( sP64
| ~ sP12
| ~ sP50 ),
inference(prop_rule,[status(thm)],[]) ).
thf(66,plain,
( sP96
| sP12
| sP89 ),
inference(prop_rule,[status(thm)],[]) ).
thf(67,plain,
( ~ sP28
| sP50
| ~ sP87 ),
inference(mating_rule,[status(thm)],[]) ).
thf(68,plain,
( ~ sP13
| sP50
| ~ sP41 ),
inference(mating_rule,[status(thm)],[]) ).
thf(69,plain,
( ~ sP50
| sP28
| ~ sP64 ),
inference(mating_rule,[status(thm)],[]) ).
thf(70,plain,
( ~ sP50
| sP13
| ~ sP96 ),
inference(mating_rule,[status(thm)],[]) ).
thf(71,plain,
( sP57
| ~ sP89
| ~ sP50 ),
inference(prop_rule,[status(thm)],[]) ).
thf(72,plain,
( sP57
| sP89
| sP50 ),
inference(prop_rule,[status(thm)],[]) ).
thf(73,plain,
( ~ sP91
| ~ sP57
| sP79 ),
inference(prop_rule,[status(thm)],[]) ).
thf(74,plain,
( ~ sP88
| sP91 ),
inference(all_rule,[status(thm)],[]) ).
thf(75,plain,
( ~ sP18
| sP88 ),
inference(all_rule,[status(thm)],[]) ).
thf(76,plain,
( ~ sP28
| sP13
| ~ sP79 ),
inference(mating_rule,[status(thm)],[]) ).
thf(77,plain,
( ~ sP13
| sP28
| ~ sP57 ),
inference(mating_rule,[status(thm)],[]) ).
thf(78,plain,
( sP46
| ~ sP28
| ~ sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(79,plain,
( sP84
| sP6
| sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(80,plain,
( sP34
| ~ sP13
| ~ sP28 ),
inference(prop_rule,[status(thm)],[]) ).
thf(81,plain,
( sP34
| sP13
| sP28 ),
inference(prop_rule,[status(thm)],[]) ).
thf(82,plain,
( ~ sP53
| sP6
| ~ sP46 ),
inference(mating_rule,[status(thm)],[]) ).
thf(83,plain,
( ~ sP27
| sP6
| ~ sP84 ),
inference(mating_rule,[status(thm)],[]) ).
thf(84,plain,
( ~ sP6
| sP53
| ~ sP34 ),
inference(mating_rule,[status(thm)],[]) ).
thf(85,plain,
( sP83
| sP27
| sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(86,plain,
( sP72
| ~ sP28
| ~ sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(87,plain,
( sP70
| ~ sP6
| ~ sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(88,plain,
( ~ sP11
| sP27
| ~ sP83 ),
inference(mating_rule,[status(thm)],[]) ).
thf(89,plain,
( ~ sP53
| sP27
| ~ sP72 ),
inference(mating_rule,[status(thm)],[]) ).
thf(90,plain,
( ~ sP27
| sP11
| ~ sP70 ),
inference(mating_rule,[status(thm)],[]) ).
thf(91,plain,
( sP60
| ~ sP28
| ~ sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(92,plain,
( sP60
| sP28
| sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(93,plain,
( ~ sP23
| ~ sP60
| sP77 ),
inference(prop_rule,[status(thm)],[]) ).
thf(94,plain,
( ~ sP69
| sP23 ),
inference(all_rule,[status(thm)],[]) ).
thf(95,plain,
( ~ sP18
| sP69 ),
inference(all_rule,[status(thm)],[]) ).
thf(96,plain,
( ~ sP11
| sP53
| ~ sP77 ),
inference(mating_rule,[status(thm)],[]) ).
thf(97,plain,
( ~ sP53
| sP11
| ~ sP60 ),
inference(mating_rule,[status(thm)],[]) ).
thf(98,plain,
( sP30
| ~ sP11
| ~ sP53 ),
inference(prop_rule,[status(thm)],[]) ).
thf(99,plain,
( sP59
| sP49
| sP53 ),
inference(prop_rule,[status(thm)],[]) ).
thf(100,plain,
( sP43
| ~ sP53
| ~ sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(101,plain,
( sP43
| sP53
| sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(102,plain,
( ~ sP3
| sP49
| ~ sP30 ),
inference(mating_rule,[status(thm)],[]) ).
thf(103,plain,
( ~ sP2
| sP49
| ~ sP59 ),
inference(mating_rule,[status(thm)],[]) ).
thf(104,plain,
( ~ sP49
| sP3
| ~ sP43 ),
inference(mating_rule,[status(thm)],[]) ).
thf(105,plain,
( sP19
| sP2
| sP49 ),
inference(prop_rule,[status(thm)],[]) ).
thf(106,plain,
( sP8
| ~ sP11
| ~ sP49 ),
inference(prop_rule,[status(thm)],[]) ).
thf(107,plain,
( sP74
| ~ sP49
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(108,plain,
( ~ sP10
| sP2
| ~ sP19 ),
inference(mating_rule,[status(thm)],[]) ).
thf(109,plain,
( ~ sP3
| sP2
| ~ sP8 ),
inference(mating_rule,[status(thm)],[]) ).
thf(110,plain,
( ~ sP2
| sP10
| ~ sP74 ),
inference(mating_rule,[status(thm)],[]) ).
thf(111,plain,
( sP62
| ~ sP11
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(112,plain,
( sP62
| sP11
| sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(113,plain,
( ~ sP5
| ~ sP62
| sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(114,plain,
( ~ sP35
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(115,plain,
( ~ sP18
| sP35 ),
inference(all_rule,[status(thm)],[]) ).
thf(116,plain,
( ~ sP10
| sP3
| ~ sP17 ),
inference(mating_rule,[status(thm)],[]) ).
thf(117,plain,
( ~ sP3
| sP10
| ~ sP62 ),
inference(mating_rule,[status(thm)],[]) ).
thf(118,plain,
( sP95
| ~ sP10
| ~ sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(119,plain,
( sP65
| sP98
| sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(120,plain,
( ~ sP1
| sP98
| ~ sP95 ),
inference(mating_rule,[status(thm)],[]) ).
thf(121,plain,
( ~ sP56
| sP98
| ~ sP65 ),
inference(mating_rule,[status(thm)],[]) ).
thf(122,plain,
( sP52
| ~ sP10
| ~ sP98 ),
inference(prop_rule,[status(thm)],[]) ).
thf(123,plain,
( sP80
| ~ sP98
| ~ sP56 ),
inference(prop_rule,[status(thm)],[]) ).
thf(124,plain,
( ~ sP1
| sP56
| ~ sP52 ),
inference(mating_rule,[status(thm)],[]) ).
thf(125,plain,
( ~ sP56
| sP71
| ~ sP80 ),
inference(mating_rule,[status(thm)],[]) ).
thf(126,plain,
( sP66
| sP10
| sP56 ),
inference(prop_rule,[status(thm)],[]) ).
thf(127,plain,
sP18,
inference(eq_sym,[status(thm)],[]) ).
thf(128,plain,
( ~ sP1
| sP71
| ~ sP66 ),
inference(mating_rule,[status(thm)],[]) ).
thf(129,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h2,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,h1,h2]) ).
thf(130,plain,
( sP78
| ~ sP20
| ~ sP75 ),
inference(prop_rule,[status(thm)],[]) ).
thf(131,plain,
( sP78
| sP20
| sP75 ),
inference(prop_rule,[status(thm)],[]) ).
thf(132,plain,
( ~ sP45
| ~ sP78
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(133,plain,
( ~ sP94
| sP45 ),
inference(all_rule,[status(thm)],[]) ).
thf(134,plain,
( sP76
| ~ sP20
| ~ sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(135,plain,
( sP76
| sP20
| sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(136,plain,
( ~ sP42
| ~ sP76
| sP90 ),
inference(prop_rule,[status(thm)],[]) ).
thf(137,plain,
( ~ sP94
| sP42 ),
inference(all_rule,[status(thm)],[]) ).
thf(138,plain,
( ~ sP32
| sP75
| ~ sP7 ),
inference(mating_rule,[status(thm)],[]) ).
thf(139,plain,
( ~ sP20
| sP75
| ~ sP90 ),
inference(mating_rule,[status(thm)],[]) ).
thf(140,plain,
( ~ sP75
| sP32
| ~ sP78 ),
inference(mating_rule,[status(thm)],[]) ).
thf(141,plain,
( ~ sP75
| sP20
| ~ sP76 ),
inference(mating_rule,[status(thm)],[]) ).
thf(142,plain,
( sP61
| ~ sP75
| ~ sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(143,plain,
( sP39
| sP55
| sP75 ),
inference(prop_rule,[status(thm)],[]) ).
thf(144,plain,
( ~ sP32
| sP20
| ~ sP61 ),
inference(mating_rule,[status(thm)],[]) ).
thf(145,plain,
( ~ sP20
| sP32
| ~ sP39 ),
inference(mating_rule,[status(thm)],[]) ).
thf(146,plain,
( sP51
| ~ sP32
| ~ sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(147,plain,
( sP92
| sP4
| sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(148,plain,
( sP31
| sP20
| sP32 ),
inference(prop_rule,[status(thm)],[]) ).
thf(149,plain,
( sP99
| ~ sP20
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(150,plain,
( ~ sP18
| sP94 ),
inference(all_rule,[status(thm)],[]) ).
thf(151,plain,
( ~ sP68
| sP4
| ~ sP51 ),
inference(mating_rule,[status(thm)],[]) ).
thf(152,plain,
( ~ sP29
| sP4
| ~ sP92 ),
inference(mating_rule,[status(thm)],[]) ).
thf(153,plain,
( ~ sP4
| sP68
| ~ sP31 ),
inference(mating_rule,[status(thm)],[]) ).
thf(154,plain,
( ~ sP4
| sP29
| ~ sP99 ),
inference(mating_rule,[status(thm)],[]) ).
thf(155,plain,
( sP15
| sP29
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(156,plain,
( sP21
| ~ sP4
| ~ sP29 ),
inference(prop_rule,[status(thm)],[]) ).
thf(157,plain,
( ~ sP33
| sP29
| ~ sP15 ),
inference(mating_rule,[status(thm)],[]) ).
thf(158,plain,
( ~ sP29
| sP33
| ~ sP21 ),
inference(mating_rule,[status(thm)],[]) ).
thf(159,plain,
( sP82
| ~ sP32
| ~ sP29 ),
inference(prop_rule,[status(thm)],[]) ).
thf(160,plain,
( sP82
| sP32
| sP29 ),
inference(prop_rule,[status(thm)],[]) ).
thf(161,plain,
( ~ sP63
| ~ sP82
| sP40 ),
inference(prop_rule,[status(thm)],[]) ).
thf(162,plain,
( ~ sP97
| sP63 ),
inference(all_rule,[status(thm)],[]) ).
thf(163,plain,
( ~ sP18
| sP97 ),
inference(all_rule,[status(thm)],[]) ).
thf(164,plain,
( ~ sP33
| sP68
| ~ sP40 ),
inference(mating_rule,[status(thm)],[]) ).
thf(165,plain,
( ~ sP68
| sP33
| ~ sP82 ),
inference(mating_rule,[status(thm)],[]) ).
thf(166,plain,
( sP37
| ~ sP33
| ~ sP68 ),
inference(prop_rule,[status(thm)],[]) ).
thf(167,plain,
( sP9
| sP26
| sP68 ),
inference(prop_rule,[status(thm)],[]) ).
thf(168,plain,
( sP36
| ~ sP68
| ~ sP33 ),
inference(prop_rule,[status(thm)],[]) ).
thf(169,plain,
( sP36
| sP68
| sP33 ),
inference(prop_rule,[status(thm)],[]) ).
thf(170,plain,
( ~ sP25
| sP26
| ~ sP37 ),
inference(mating_rule,[status(thm)],[]) ).
thf(171,plain,
( ~ sP24
| sP26
| ~ sP9 ),
inference(mating_rule,[status(thm)],[]) ).
thf(172,plain,
( ~ sP26
| sP25
| ~ sP36 ),
inference(mating_rule,[status(thm)],[]) ).
thf(173,plain,
( sP48
| sP24
| sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(174,plain,
( sP38
| ~ sP33
| ~ sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(175,plain,
( sP81
| ~ sP26
| ~ sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(176,plain,
( ~ sP89
| sP24
| ~ sP48 ),
inference(mating_rule,[status(thm)],[]) ).
thf(177,plain,
( ~ sP25
| sP24
| ~ sP38 ),
inference(mating_rule,[status(thm)],[]) ).
thf(178,plain,
( ~ sP24
| sP89
| ~ sP81 ),
inference(mating_rule,[status(thm)],[]) ).
thf(179,plain,
( sP44
| ~ sP33
| ~ sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(180,plain,
( sP44
| sP33
| sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(181,plain,
( ~ sP54
| ~ sP44
| sP85 ),
inference(prop_rule,[status(thm)],[]) ).
thf(182,plain,
( ~ sP67
| sP54 ),
inference(all_rule,[status(thm)],[]) ).
thf(183,plain,
( ~ sP18
| sP67 ),
inference(all_rule,[status(thm)],[]) ).
thf(184,plain,
( ~ sP89
| sP25
| ~ sP85 ),
inference(mating_rule,[status(thm)],[]) ).
thf(185,plain,
( ~ sP25
| sP89
| ~ sP44 ),
inference(mating_rule,[status(thm)],[]) ).
thf(186,plain,
( sP58
| ~ sP89
| ~ sP25 ),
inference(prop_rule,[status(thm)],[]) ).
thf(187,plain,
( sP58
| sP89
| sP25 ),
inference(prop_rule,[status(thm)],[]) ).
thf(188,plain,
( sP14
| ~ sP25
| ~ sP89 ),
inference(prop_rule,[status(thm)],[]) ).
thf(189,plain,
( sP14
| sP25
| sP89 ),
inference(prop_rule,[status(thm)],[]) ).
thf(190,plain,
( ~ sP13
| sP12
| ~ sP58 ),
inference(mating_rule,[status(thm)],[]) ).
thf(191,plain,
( ~ sP12
| sP13
| ~ sP14 ),
inference(mating_rule,[status(thm)],[]) ).
thf(192,plain,
( sP87
| sP50
| sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(193,plain,
( sP41
| ~ sP89
| ~ sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(194,plain,
( sP64
| ~ sP12
| ~ sP50 ),
inference(prop_rule,[status(thm)],[]) ).
thf(195,plain,
( sP96
| sP12
| sP89 ),
inference(prop_rule,[status(thm)],[]) ).
thf(196,plain,
( ~ sP28
| sP50
| ~ sP87 ),
inference(mating_rule,[status(thm)],[]) ).
thf(197,plain,
( ~ sP13
| sP50
| ~ sP41 ),
inference(mating_rule,[status(thm)],[]) ).
thf(198,plain,
( ~ sP50
| sP28
| ~ sP64 ),
inference(mating_rule,[status(thm)],[]) ).
thf(199,plain,
( ~ sP50
| sP13
| ~ sP96 ),
inference(mating_rule,[status(thm)],[]) ).
thf(200,plain,
( sP57
| ~ sP89
| ~ sP50 ),
inference(prop_rule,[status(thm)],[]) ).
thf(201,plain,
( sP57
| sP89
| sP50 ),
inference(prop_rule,[status(thm)],[]) ).
thf(202,plain,
( ~ sP91
| ~ sP57
| sP79 ),
inference(prop_rule,[status(thm)],[]) ).
thf(203,plain,
( ~ sP88
| sP91 ),
inference(all_rule,[status(thm)],[]) ).
thf(204,plain,
( ~ sP18
| sP88 ),
inference(all_rule,[status(thm)],[]) ).
thf(205,plain,
( ~ sP28
| sP13
| ~ sP79 ),
inference(mating_rule,[status(thm)],[]) ).
thf(206,plain,
( ~ sP13
| sP28
| ~ sP57 ),
inference(mating_rule,[status(thm)],[]) ).
thf(207,plain,
( sP46
| ~ sP28
| ~ sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(208,plain,
( sP84
| sP6
| sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(209,plain,
( sP34
| ~ sP13
| ~ sP28 ),
inference(prop_rule,[status(thm)],[]) ).
thf(210,plain,
( sP34
| sP13
| sP28 ),
inference(prop_rule,[status(thm)],[]) ).
thf(211,plain,
( ~ sP53
| sP6
| ~ sP46 ),
inference(mating_rule,[status(thm)],[]) ).
thf(212,plain,
( ~ sP27
| sP6
| ~ sP84 ),
inference(mating_rule,[status(thm)],[]) ).
thf(213,plain,
( ~ sP6
| sP53
| ~ sP34 ),
inference(mating_rule,[status(thm)],[]) ).
thf(214,plain,
( sP83
| sP27
| sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(215,plain,
( sP72
| ~ sP28
| ~ sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(216,plain,
( sP70
| ~ sP6
| ~ sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(217,plain,
( ~ sP11
| sP27
| ~ sP83 ),
inference(mating_rule,[status(thm)],[]) ).
thf(218,plain,
( ~ sP53
| sP27
| ~ sP72 ),
inference(mating_rule,[status(thm)],[]) ).
thf(219,plain,
( ~ sP27
| sP11
| ~ sP70 ),
inference(mating_rule,[status(thm)],[]) ).
thf(220,plain,
( sP60
| ~ sP28
| ~ sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(221,plain,
( sP60
| sP28
| sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(222,plain,
( ~ sP23
| ~ sP60
| sP77 ),
inference(prop_rule,[status(thm)],[]) ).
thf(223,plain,
( ~ sP69
| sP23 ),
inference(all_rule,[status(thm)],[]) ).
thf(224,plain,
( ~ sP18
| sP69 ),
inference(all_rule,[status(thm)],[]) ).
thf(225,plain,
( ~ sP11
| sP53
| ~ sP77 ),
inference(mating_rule,[status(thm)],[]) ).
thf(226,plain,
( ~ sP53
| sP11
| ~ sP60 ),
inference(mating_rule,[status(thm)],[]) ).
thf(227,plain,
( sP30
| ~ sP11
| ~ sP53 ),
inference(prop_rule,[status(thm)],[]) ).
thf(228,plain,
( sP59
| sP49
| sP53 ),
inference(prop_rule,[status(thm)],[]) ).
thf(229,plain,
( sP43
| sP53
| sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(230,plain,
( sP73
| ~ sP53
| ~ sP49 ),
inference(prop_rule,[status(thm)],[]) ).
thf(231,plain,
( ~ sP3
| sP49
| ~ sP30 ),
inference(mating_rule,[status(thm)],[]) ).
thf(232,plain,
( ~ sP2
| sP49
| ~ sP59 ),
inference(mating_rule,[status(thm)],[]) ).
thf(233,plain,
( ~ sP49
| sP3
| ~ sP43 ),
inference(mating_rule,[status(thm)],[]) ).
thf(234,plain,
( ~ sP49
| sP2
| ~ sP73 ),
inference(mating_rule,[status(thm)],[]) ).
thf(235,plain,
( sP19
| sP2
| sP49 ),
inference(prop_rule,[status(thm)],[]) ).
thf(236,plain,
( sP74
| ~ sP49
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(237,plain,
( ~ sP10
| sP2
| ~ sP19 ),
inference(mating_rule,[status(thm)],[]) ).
thf(238,plain,
( ~ sP2
| sP10
| ~ sP74 ),
inference(mating_rule,[status(thm)],[]) ).
thf(239,plain,
( sP62
| ~ sP11
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(240,plain,
( sP62
| sP11
| sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(241,plain,
( ~ sP5
| ~ sP62
| sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(242,plain,
( ~ sP35
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(243,plain,
( ~ sP18
| sP35 ),
inference(all_rule,[status(thm)],[]) ).
thf(244,plain,
( ~ sP10
| sP3
| ~ sP17 ),
inference(mating_rule,[status(thm)],[]) ).
thf(245,plain,
( ~ sP3
| sP10
| ~ sP62 ),
inference(mating_rule,[status(thm)],[]) ).
thf(246,plain,
( sP16
| sP3
| sP10 ),
inference(prop_rule,[status(thm)],[]) ).
thf(247,plain,
( sP22
| ~ sP3
| ~ sP98 ),
inference(prop_rule,[status(thm)],[]) ).
thf(248,plain,
( ~ sP98
| sP1
| ~ sP16 ),
inference(mating_rule,[status(thm)],[]) ).
thf(249,plain,
( ~ sP98
| sP56
| ~ sP22 ),
inference(mating_rule,[status(thm)],[]) ).
thf(250,plain,
( sP86
| sP56
| sP98 ),
inference(prop_rule,[status(thm)],[]) ).
thf(251,plain,
( sP47
| sP98
| sP10 ),
inference(prop_rule,[status(thm)],[]) ).
thf(252,plain,
( ~ sP71
| sP56
| ~ sP86 ),
inference(mating_rule,[status(thm)],[]) ).
thf(253,plain,
( ~ sP56
| sP1
| ~ sP47 ),
inference(mating_rule,[status(thm)],[]) ).
thf(254,plain,
( sP93
| ~ sP56
| ~ sP10 ),
inference(prop_rule,[status(thm)],[]) ).
thf(255,plain,
sP18,
inference(eq_sym,[status(thm)],[]) ).
thf(256,plain,
( ~ sP71
| sP1
| ~ sP93 ),
inference(mating_rule,[status(thm)],[]) ).
thf(257,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h3,h4,h0])],[130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,h3,h4]) ).
thf(258,plain,
$false,
inference(tab_be,[status(thm),assumptions([h0]),tab_be(discharge,[h1,h2]),tab_be(discharge,[h3,h4])],[h0,129,257,h1,h2,h3,h4]) ).
thf(0,theorem,
sP1 = sP71,
inference(contra,[status(thm),contra(discharge,[h0])],[258,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO500^1.007 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Oct 9 00:29:38 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 % Mode: mode213
% 0.19/0.43 % Inferences: 844
% 0.19/0.43 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------