%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO386^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n010.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 03:25:28 PM UTC 2025
% Result : Theorem 0.55s 0.83s
% Output : Proof 0.55s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $i ).
thf(ty_d,type,
d: $i ).
thf(ty_cQ_1,type,
cQ_1: $i > $i > $i > $o ).
thf(ty_b,type,
b: $i ).
thf(ty_cQ_2,type,
cQ_2: $i > $i > $i > $o ).
thf(ty_cQ_3,type,
cQ_3: $i > $i > $i > $o ).
thf(ty_cQ_4,type,
cQ_4: $i > $i > $i > $o ).
thf(ty_cP_3,type,
cP_3: $i > $i > $o ).
thf(ty_c,type,
c: $i ).
thf(ty_cP_1,type,
cP_1: $i > $i > $o ).
thf(ty_cP_2,type,
cP_2: $i > $i > $o ).
thf(ty_f,type,
f: $i > $i ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( ~ ( ~ ( ( cQ_3 @ X1 @ X2 @ X3 )
=> ~ ( cP_3 @ ( f @ X1 ) @ X4 ) )
=> ~ ( cP_3 @ ( f @ X2 ) @ X5 ) )
=> ~ ( cP_3 @ ( f @ X3 ) @ X6 ) )
=> ( cQ_4 @ X4 @ X5 @ X6 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cQ_1 @ a @ b @ c ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( cP_1 @ b @ b )
=> ( cP_1 @ ( f @ b ) @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
( ( cP_3 @ a @ X1 )
=> ( cP_3 @ ( f @ a ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ~ ( ~ ( ~ ( ( cQ_2 @ a @ b @ c )
=> ~ ( cP_2 @ ( f @ a ) @ a ) )
=> ~ ( cP_2 @ ( f @ b ) @ b ) )
=> ~ ( cP_2 @ ( f @ c ) @ c ) )
=> ( cQ_3 @ a @ b @ c ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ~ ( sP2
=> ~ ( cP_1 @ ( f @ a ) @ a ) )
=> ~ ( cP_1 @ ( f @ b ) @ X1 ) )
=> ~ ( cP_1 @ ( f @ c ) @ X2 ) )
=> ( cQ_2 @ a @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i] :
( ( cP_2 @ b @ X1 )
=> ( cP_2 @ ( f @ b ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cP_3 @ a @ a ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( cP_1 @ ( f @ c ) @ c ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( cP_1 @ a @ a )
=> ( cP_1 @ ( f @ a ) @ a ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( cQ_2 @ a @ b @ c ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( cP_1 @ ( f @ b ) @ b ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( cQ_4 @ a @ b @ c ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i] :
( ( cP_1 @ c @ X1 )
=> ( cP_1 @ ( f @ c ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ~ ( ~ ( ~ ( sP2
=> ~ ( cP_1 @ ( f @ a ) @ a ) )
=> ~ sP12 )
=> ~ sP9 )
=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( cP_2 @ a @ a )
=> ( cP_2 @ ( f @ a ) @ a ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( cP_2 @ ( f @ b ) @ b ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( cP_3 @ c @ c ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: $i] :
( ( cP_1 @ b @ X1 )
=> ( cP_1 @ ( f @ b ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: $i] :
( ( cP_1 @ a @ X1 )
=> ( cP_1 @ ( f @ a ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( sP8
=> ( cP_3 @ ( f @ a ) @ a ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( sP18
=> ( cP_3 @ ( f @ c ) @ c ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ( cP_2 @ b @ b )
=> sP17 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: $i] :
( ( cP_2 @ a @ X1 )
=> ( cP_2 @ ( f @ a ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ~ ( ~ ( ( cQ_1 @ a @ X1 @ X2 )
=> ~ ( cP_1 @ ( f @ a ) @ X3 ) )
=> ~ ( cP_1 @ ( f @ X1 ) @ X4 ) )
=> ~ ( cP_1 @ ( f @ X2 ) @ X5 ) )
=> ( cQ_2 @ X3 @ X4 @ X5 ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( cP_3 @ ( f @ a ) @ a ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ~ ( ~ ( ( cQ_2 @ a @ X1 @ X2 )
=> ~ ( cP_2 @ ( f @ a ) @ X3 ) )
=> ~ ( cP_2 @ ( f @ X1 ) @ X4 ) )
=> ~ ( cP_2 @ ( f @ X2 ) @ X5 ) )
=> ( cQ_3 @ X3 @ X4 @ X5 ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( cP_3 @ b @ b ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ~ ( ~ ( ( cQ_3 @ a @ b @ X1 )
=> ~ ( cP_3 @ ( f @ a ) @ X2 ) )
=> ~ ( cP_3 @ ( f @ b ) @ X3 ) )
=> ~ ( cP_3 @ ( f @ X1 ) @ X4 ) )
=> ( cQ_4 @ X2 @ X3 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ~ ( sP2
=> ~ ( cP_1 @ ( f @ a ) @ a ) )
=> ~ sP12 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ( cP_1 @ c @ c )
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( cQ_3 @ a @ b @ c ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( cP_1 @ c @ c ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ~ ( ~ ( sP11
=> ~ ( cP_2 @ ( f @ a ) @ X1 ) )
=> ~ ( cP_2 @ ( f @ b ) @ X2 ) )
=> ~ ( cP_2 @ ( f @ c ) @ X3 ) )
=> ( cQ_3 @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( ~ sP30
=> ~ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ! [X1: $i] :
( ( cP_2 @ c @ X1 )
=> ( cP_2 @ ( f @ c ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( cP_1 @ a @ a ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( cP_2 @ a @ a ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ~ ( ~ ( sP11
=> ~ ( cP_2 @ ( f @ a ) @ a ) )
=> ~ sP17 )
=> ~ ( cP_2 @ ( f @ c ) @ c ) ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ! [X1: $i,X2: $i] :
( ( cP_2 @ X1 @ X2 )
=> ( cP_2 @ ( f @ X1 ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( ~ ( ~ ( sP32
=> ~ sP26 )
=> ~ ( cP_3 @ ( f @ b ) @ b ) )
=> ~ ( cP_3 @ ( f @ c ) @ c ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( cP_2 @ c @ c ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ! [X1: $i] :
( ( cP_3 @ b @ X1 )
=> ( cP_3 @ ( f @ b ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( sP2
=> ~ ( cP_1 @ ( f @ a ) @ a ) ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( cP_2 @ ( f @ a ) @ a ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( cP_3 @ ( f @ c ) @ c ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( cP_3 @ ( f @ b ) @ b ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ! [X1: $i,X2: $i] :
( ( cP_3 @ X1 @ X2 )
=> ( cP_3 @ ( f @ X1 ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( sP11
=> ~ sP45 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ! [X1: $i] :
~ ( cQ_4 @ a @ b @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( ~ sP49
=> ~ sP17 ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ! [X1: $i] :
( ( cP_3 @ c @ X1 )
=> ( cP_3 @ ( f @ c ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ! [X1: $i,X2: $i] :
~ ( cQ_4 @ a @ X1 @ X2 ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ! [X1: $i,X2: $i,X3: $i] :
~ ( cQ_4 @ X1 @ X2 @ X3 ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ( cP_1 @ ( f @ a ) @ a ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( ~ sP41
=> sP13 ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ~ ( ~ ( ( cQ_2 @ a @ b @ X1 )
=> ~ ( cP_2 @ ( f @ a ) @ X2 ) )
=> ~ ( cP_2 @ ( f @ b ) @ X3 ) )
=> ~ ( cP_2 @ ( f @ X1 ) @ X4 ) )
=> ( cQ_3 @ X2 @ X3 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ~ ( ~ ( ( cQ_1 @ a @ b @ X1 )
=> ~ ( cP_1 @ ( f @ a ) @ X2 ) )
=> ~ ( cP_1 @ ( f @ b ) @ X3 ) )
=> ~ ( cP_1 @ ( f @ X1 ) @ X4 ) )
=> ( cQ_2 @ X2 @ X3 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( ~ ( sP32
=> ~ sP26 )
=> ~ sP47 ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ! [X1: $i] :
( ~ ( ~ sP59
=> ~ ( cP_3 @ ( f @ c ) @ X1 ) )
=> ( cQ_4 @ a @ b @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( ~ ( ~ ( ( cQ_2 @ X1 @ X2 @ X3 )
=> ~ ( cP_2 @ ( f @ X1 ) @ X4 ) )
=> ~ ( cP_2 @ ( f @ X2 ) @ X5 ) )
=> ~ ( cP_2 @ ( f @ X3 ) @ X6 ) )
=> ( cQ_3 @ X4 @ X5 @ X6 ) ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ~ ( sP32
=> ~ sP26 )
=> ~ ( cP_3 @ ( f @ b ) @ X1 ) )
=> ~ ( cP_3 @ ( f @ c ) @ X2 ) )
=> ( cQ_4 @ a @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ( cP_2 @ b @ b ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( sP42
=> ( cP_2 @ ( f @ c ) @ c ) ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ~ ( ~ ( sP2
=> ~ ( cP_1 @ ( f @ a ) @ X1 ) )
=> ~ ( cP_1 @ ( f @ b ) @ X2 ) )
=> ~ ( cP_1 @ ( f @ c ) @ X3 ) )
=> ( cQ_2 @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ! [X1: $i,X2: $i] :
( ( cP_1 @ X1 @ X2 )
=> ( cP_1 @ ( f @ X1 ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ! [X1: $i] :
( ~ ( ~ sP30
=> ~ ( cP_1 @ ( f @ c ) @ X1 ) )
=> ( cQ_2 @ a @ b @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( ~ ( ~ ( ( cQ_1 @ X1 @ X2 @ X3 )
=> ~ ( cP_1 @ ( f @ X1 ) @ X4 ) )
=> ~ ( cP_1 @ ( f @ X2 ) @ X5 ) )
=> ~ ( cP_1 @ ( f @ X3 ) @ X6 ) )
=> ( cQ_2 @ X4 @ X5 @ X6 ) ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ~ ( ~ ( sP32
=> ~ ( cP_3 @ ( f @ a ) @ X1 ) )
=> ~ ( cP_3 @ ( f @ b ) @ X2 ) )
=> ~ ( cP_3 @ ( f @ c ) @ X3 ) )
=> ( cQ_4 @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( cP_2 @ ( f @ c ) @ c ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ~ sP49
=> ~ ( cP_2 @ ( f @ b ) @ X1 ) )
=> ~ ( cP_2 @ ( f @ c ) @ X2 ) )
=> ( cQ_3 @ a @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ( sP32
=> ~ sP26 ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ~ ( ~ ( ( cQ_3 @ a @ X1 @ X2 )
=> ~ ( cP_3 @ ( f @ a ) @ X3 ) )
=> ~ ( cP_3 @ ( f @ X1 ) @ X4 ) )
=> ~ ( cP_3 @ ( f @ X2 ) @ X5 ) )
=> ( cQ_4 @ X3 @ X4 @ X5 ) ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ! [X1: $i] :
( ~ ( ~ sP51
=> ~ ( cP_2 @ ( f @ c ) @ X1 ) )
=> ( cQ_3 @ a @ b @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( sP28
=> sP47 ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( cP_1 @ b @ b ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(cTHM409_3,conjecture,
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 )
=> ~ sP28 )
=> ~ sP18 )
=> ~ ( !! @ ( cP_3 @ d ) ) )
=> ~ sP48 )
=> ~ sP1 )
=> ~ sP54 ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 )
=> ~ sP28 )
=> ~ sP18 )
=> ~ ( !! @ ( cP_3 @ d ) ) )
=> ~ sP48 )
=> ~ sP1 )
=> ~ sP54 ),
inference(assume_negation,[status(cth)],[cTHM409_3]) ).
thf(h1,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 )
=> ~ sP28 )
=> ~ sP18 )
=> ~ ( !! @ ( cP_3 @ d ) ) )
=> ~ sP48 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP54,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 )
=> ~ sP28 )
=> ~ sP18 )
=> ~ ( !! @ ( cP_3 @ d ) ) )
=> ~ sP48 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 )
=> ~ sP28 )
=> ~ sP18 )
=> ~ ( !! @ ( cP_3 @ d ) ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
sP48,
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 )
=> ~ sP28 )
=> ~ sP18 ),
introduced(assumption,[]) ).
thf(h8,assumption,
!! @ ( cP_3 @ d ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 )
=> ~ sP28 ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP18,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 ),
introduced(assumption,[]) ).
thf(h12,assumption,
sP28,
introduced(assumption,[]) ).
thf(h13,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 ),
introduced(assumption,[]) ).
thf(h14,assumption,
sP8,
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 ),
introduced(assumption,[]) ).
thf(h16,assumption,
sP61,
introduced(assumption,[]) ).
thf(h17,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
sP40,
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 ),
introduced(assumption,[]) ).
thf(h20,assumption,
!! @ ( cP_2 @ d ),
introduced(assumption,[]) ).
thf(h21,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 ),
introduced(assumption,[]) ).
thf(h22,assumption,
sP42,
introduced(assumption,[]) ).
thf(h23,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 ),
introduced(assumption,[]) ).
thf(h24,assumption,
sP63,
introduced(assumption,[]) ).
thf(h25,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 ),
introduced(assumption,[]) ).
thf(h26,assumption,
sP38,
introduced(assumption,[]) ).
thf(h27,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 ),
introduced(assumption,[]) ).
thf(h28,assumption,
sP68,
introduced(assumption,[]) ).
thf(h29,assumption,
~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) ),
introduced(assumption,[]) ).
thf(h30,assumption,
sP66,
introduced(assumption,[]) ).
thf(h31,assumption,
~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 ),
introduced(assumption,[]) ).
thf(h32,assumption,
!! @ ( cP_1 @ d ),
introduced(assumption,[]) ).
thf(h33,assumption,
~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 ),
introduced(assumption,[]) ).
thf(h34,assumption,
sP33,
introduced(assumption,[]) ).
thf(h35,assumption,
~ ( sP2
=> ~ sP37 ),
introduced(assumption,[]) ).
thf(h36,assumption,
sP76,
introduced(assumption,[]) ).
thf(h37,assumption,
sP2,
introduced(assumption,[]) ).
thf(h38,assumption,
sP37,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP50
| ~ sP13 ),
inference(all_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP54
| sP53 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP53
| sP50 ),
inference(all_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP58
| sP65 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP65
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP6
| sP67 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP67
| sP15 ),
inference(all_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP15
| sP35
| sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP35
| sP30
| ~ sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP30
| sP44
| ~ sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(11,plain,
( ~ sP44
| ~ sP2
| ~ sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP68
| sP25 ),
inference(all_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP25
| sP58 ),
inference(all_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP57
| sP34 ),
inference(all_rule,[status(thm)],[]) ).
thf(15,plain,
( ~ sP34
| sP71 ),
inference(all_rule,[status(thm)],[]) ).
thf(16,plain,
( ~ sP71
| sP74 ),
inference(all_rule,[status(thm)],[]) ).
thf(17,plain,
( ~ sP74
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(18,plain,
( ~ sP5
| sP39
| sP32 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( ~ sP39
| sP51
| ~ sP70 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
( ~ sP51
| sP49
| ~ sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(21,plain,
( ~ sP49
| ~ sP11
| ~ sP45 ),
inference(prop_rule,[status(thm)],[]) ).
thf(22,plain,
( ~ sP61
| sP27 ),
inference(all_rule,[status(thm)],[]) ).
thf(23,plain,
( ~ sP27
| sP57 ),
inference(all_rule,[status(thm)],[]) ).
thf(24,plain,
( ~ sP29
| sP69 ),
inference(all_rule,[status(thm)],[]) ).
thf(25,plain,
( ~ sP69
| sP62 ),
inference(all_rule,[status(thm)],[]) ).
thf(26,plain,
( ~ sP62
| sP60 ),
inference(all_rule,[status(thm)],[]) ).
thf(27,plain,
( ~ sP60
| sP56 ),
inference(all_rule,[status(thm)],[]) ).
thf(28,plain,
( ~ sP56
| sP41
| sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(29,plain,
( ~ sP41
| sP59
| ~ sP46 ),
inference(prop_rule,[status(thm)],[]) ).
thf(30,plain,
( ~ sP59
| sP72
| ~ sP47 ),
inference(prop_rule,[status(thm)],[]) ).
thf(31,plain,
( ~ sP72
| ~ sP32
| ~ sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(32,plain,
( ~ sP1
| sP73 ),
inference(all_rule,[status(thm)],[]) ).
thf(33,plain,
( ~ sP73
| sP29 ),
inference(all_rule,[status(thm)],[]) ).
thf(34,plain,
( ~ sP66
| sP20 ),
inference(all_rule,[status(thm)],[]) ).
thf(35,plain,
( ~ sP20
| sP10 ),
inference(all_rule,[status(thm)],[]) ).
thf(36,plain,
( ~ sP10
| ~ sP37
| sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(37,plain,
( ~ sP66
| sP19 ),
inference(all_rule,[status(thm)],[]) ).
thf(38,plain,
( ~ sP19
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(39,plain,
( ~ sP3
| ~ sP76
| sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(40,plain,
( ~ sP66
| sP14 ),
inference(all_rule,[status(thm)],[]) ).
thf(41,plain,
( ~ sP14
| sP31 ),
inference(all_rule,[status(thm)],[]) ).
thf(42,plain,
( ~ sP31
| ~ sP33
| sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(43,plain,
( ~ sP40
| sP24 ),
inference(all_rule,[status(thm)],[]) ).
thf(44,plain,
( ~ sP24
| sP16 ),
inference(all_rule,[status(thm)],[]) ).
thf(45,plain,
( ~ sP16
| ~ sP38
| sP45 ),
inference(prop_rule,[status(thm)],[]) ).
thf(46,plain,
( ~ sP40
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(47,plain,
( ~ sP7
| sP23 ),
inference(all_rule,[status(thm)],[]) ).
thf(48,plain,
( ~ sP23
| ~ sP63
| sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(49,plain,
( ~ sP40
| sP36 ),
inference(all_rule,[status(thm)],[]) ).
thf(50,plain,
( ~ sP36
| sP64 ),
inference(all_rule,[status(thm)],[]) ).
thf(51,plain,
( ~ sP64
| ~ sP42
| sP70 ),
inference(prop_rule,[status(thm)],[]) ).
thf(52,plain,
( ~ sP48
| sP4 ),
inference(all_rule,[status(thm)],[]) ).
thf(53,plain,
( ~ sP4
| sP21 ),
inference(all_rule,[status(thm)],[]) ).
thf(54,plain,
( ~ sP21
| ~ sP8
| sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(55,plain,
( ~ sP48
| sP43 ),
inference(all_rule,[status(thm)],[]) ).
thf(56,plain,
( ~ sP43
| sP75 ),
inference(all_rule,[status(thm)],[]) ).
thf(57,plain,
( ~ sP75
| ~ sP28
| sP47 ),
inference(prop_rule,[status(thm)],[]) ).
thf(58,plain,
( ~ sP48
| sP52 ),
inference(all_rule,[status(thm)],[]) ).
thf(59,plain,
( ~ sP52
| sP22 ),
inference(all_rule,[status(thm)],[]) ).
thf(60,plain,
( ~ sP22
| ~ sP18
| sP46 ),
inference(prop_rule,[status(thm)],[]) ).
thf(61,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,h37,h38,h36,h34,h30,h28,h26,h24,h22,h18,h16,h14,h12,h10,h6,h4,h2]) ).
thf(62,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])],[h35,61,h37,h38]) ).
thf(63,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])],[h33,62,h35,h36]) ).
thf(64,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])],[h31,63,h33,h34]) ).
thf(65,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])],[h29,64,h31,h32]) ).
thf(66,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])],[h27,65,h29,h30]) ).
thf(67,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])],[h25,66,h27,h28]) ).
thf(68,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])],[h23,67,h25,h26]) ).
thf(69,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])],[h21,68,h23,h24]) ).
thf(70,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])],[h19,69,h21,h22]) ).
thf(71,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])],[h17,70,h19,h20]) ).
thf(72,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])],[h15,71,h17,h18]) ).
thf(73,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])],[h13,72,h15,h16]) ).
thf(74,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])],[h11,73,h13,h14]) ).
thf(75,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,74,h11,h12]) ).
thf(76,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,75,h9,h10]) ).
thf(77,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h5,76,h7,h8]) ).
thf(78,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,77,h5,h6]) ).
thf(79,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,78,h3,h4]) ).
thf(80,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,79,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP2
=> ~ sP37 )
=> ~ sP76 )
=> ~ sP33 )
=> ~ ( !! @ ( cP_1 @ d ) ) )
=> ~ sP66 )
=> ~ sP68 )
=> ~ sP38 )
=> ~ sP63 )
=> ~ sP42 )
=> ~ ( !! @ ( cP_2 @ d ) ) )
=> ~ sP40 )
=> ~ sP61 )
=> ~ sP8 )
=> ~ sP28 )
=> ~ sP18 )
=> ~ ( !! @ ( cP_3 @ d ) ) )
=> ~ sP48 )
=> ~ sP1 )
=> ~ sP54 ),
inference(contra,[status(thm),contra(discharge,[h0])],[80,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO386^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Oct 9 00:34:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.55/0.83 % SZS status Theorem
% 0.55/0.83 % Mode: mode213
% 0.55/0.83 % Inferences: 162
% 0.55/0.83 % SZS output start Proof
% See solution above
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