%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO169^5 : 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 : n012.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 03:25:02 PM UTC 2025
% Result : Theorem 35.18s 35.35s
% Output : Proof 35.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $i ).
thf(ty_cP,type,
cP: $i > $i > $i > $o ).
thf(ty_b,type,
b: $i ).
thf(ty_cPx,type,
cPx: $i > $i > $o ).
thf(ty_e,type,
e: $i ).
thf(ty_ab,type,
ab: $i ).
thf(sP1,plain,
( sP1
<=> ( ~ ( ~ ( ! [X1: $i] : ( cP @ e @ X1 @ X1 )
=> ~ ! [X1: $i] : ( cP @ X1 @ e @ X1 ) )
=> ~ ! [X1: $i] : ( cP @ X1 @ X1 @ e ) )
=> ~ ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( ( cP @ X1 @ X2 @ X4 )
=> ~ ( cP @ X2 @ X3 @ X5 ) )
=> ( ( cP @ X4 @ X3 @ X6 )
= ( cPx @ X5 @ X6 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( cP @ e @ a @ b )
= ( cPx @ e @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cPx @ b @ b ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( cP @ b @ b @ e ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ( cP @ a @ a @ X2 )
=> ~ ( cP @ a @ X1 @ X3 ) )
=> ( ( cP @ X2 @ X1 @ X4 )
= ( cPx @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( cP @ a @ a @ b )
= sP3 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cP @ e @ b @ X1 )
=> ~ ( cP @ b @ e @ X2 ) )
=> ( ( cP @ X1 @ e @ X3 )
= ( cPx @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( cP @ a @ a @ b )
=> ~ ( cP @ a @ a @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( cPx @ e @ b ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cP @ a @ e @ X1 )
=> ~ ( cP @ e @ b @ X2 ) )
=> ( ( cP @ X1 @ b @ X3 )
= ( cPx @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ~ ( ( cP @ a @ e @ a )
=> ~ ( cP @ e @ a @ b ) )
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( cP @ b @ a @ ab ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cP @ a @ a @ b )
=> ~ ( cP @ a @ a @ X1 ) )
=> ( ( cP @ b @ a @ X2 )
= ( cPx @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( sP4
=> ~ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: $i,X2: $i] :
( ~ ( sP4
=> ~ ( cP @ b @ b @ X1 ) )
=> ( ( cP @ e @ b @ X2 )
= ( cPx @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i] :
( ~ ( ( cP @ a @ a @ e )
=> ~ ( cP @ a @ a @ e ) )
=> ( ( cP @ e @ a @ X1 )
= ( cPx @ e @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( cP @ a @ a @ e ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: $i] :
( ~ sP14
=> ( ( cP @ e @ b @ X1 )
= ( cPx @ e @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( cP @ e @ b @ b )
=> ~ ( cP @ b @ e @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( cP @ e @ b @ b ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ( cP @ a @ b @ ab )
= ( cPx @ b @ ab ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: $i] :
( ~ sP8
=> ( ( cP @ b @ a @ X1 )
= ( cPx @ b @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cP @ a @ a @ X1 )
=> ~ ( cP @ a @ a @ X2 ) )
=> ( ( cP @ X1 @ a @ X3 )
= ( cPx @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cP @ a @ e @ a )
=> ~ ( cP @ e @ a @ X1 ) )
=> ( ( cP @ a @ a @ X2 )
= ( cPx @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: $i] : ( cP @ X1 @ e @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( cP @ a @ e @ a ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $i,X2: $i] :
( ~ ( sP20
=> ~ ( cP @ b @ e @ X1 ) )
=> ( ( cP @ b @ e @ X2 )
= ( cPx @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ! [X1: $i,X2: $i] :
( ~ ( sP17
=> ~ ( cP @ a @ a @ X1 ) )
=> ( ( cP @ e @ a @ X2 )
= ( cPx @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ! [X1: $i,X2: $i] :
( ~ ( sP26
=> ~ ( cP @ e @ b @ X1 ) )
=> ( ( cP @ a @ b @ X2 )
= ( cPx @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ~ sP14
=> ( sP20 = sP9 ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( cP @ e @ a @ b ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ~ sP8
=> ( sP12
= ( cPx @ b @ ab ) ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ! [X1: $i] : ( cP @ e @ X1 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cP @ a @ e @ X1 )
=> ~ ( cP @ e @ a @ X2 ) )
=> ( ( cP @ X1 @ a @ X3 )
= ( cPx @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( sP12
= ( cPx @ b @ ab ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( cP @ a @ a @ b ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ( cP @ e @ X1 @ X3 )
=> ~ ( cP @ X1 @ X2 @ X4 ) )
=> ( ( cP @ X3 @ X2 @ X5 )
= ( cPx @ X4 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( sP26
=> ~ sP31 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ( cP @ b @ b @ X2 )
=> ~ ( cP @ b @ X1 @ X3 ) )
=> ( ( cP @ X2 @ X1 @ X4 )
= ( cPx @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ( cP @ a @ X1 @ X3 )
=> ~ ( cP @ X1 @ X2 @ X4 ) )
=> ( ( cP @ X3 @ X2 @ X5 )
= ( cPx @ X4 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cP @ b @ b @ X1 )
=> ~ ( cP @ b @ b @ X2 ) )
=> ( ( cP @ X1 @ b @ X3 )
= ( cPx @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( ( cP @ a @ b @ ab )
=> sP12 ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( ~ sP19
=> ( ( cP @ b @ e @ b )
= sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( ~ sP1
=> sP42 ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( ( cP @ b @ e @ b )
= sP3 ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( cPx @ b @ ab ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ! [X1: $i] :
( ~ sP38
=> ( ( cP @ a @ a @ X1 )
= ( cPx @ b @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ( sP20 = sP9 ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( sP26
=> ~ sP20 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ( ~ sP49
=> sP21 ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( ( cP @ X1 @ X2 @ X4 )
=> ~ ( cP @ X2 @ X3 @ X5 ) )
=> ( ( cP @ X4 @ X3 @ X6 )
= ( cPx @ X5 @ X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( ~ ( sP33
=> ~ sP25 )
=> ~ ! [X1: $i] : ( cP @ X1 @ X1 @ e ) ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ! [X1: $i] : ( cP @ X1 @ X1 @ e ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( cP @ a @ b @ ab ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ! [X1: $i] :
( ~ sP19
=> ( ( cP @ b @ e @ X1 )
= ( cPx @ b @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( cP @ b @ e @ b ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ! [X1: $i] :
( ~ sP49
=> ( ( cP @ a @ b @ X1 )
= ( cPx @ b @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( sP33
=> ~ sP25 ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ( cP @ a @ e @ X2 )
=> ~ ( cP @ e @ X1 @ X3 ) )
=> ( ( cP @ X2 @ X1 @ X4 )
= ( cPx @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ( ~ ( sP17
=> ~ sP17 )
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ( cP @ b @ X1 @ X3 )
=> ~ ( cP @ X1 @ X2 @ X4 ) )
=> ( ( cP @ X3 @ X2 @ X5 )
= ( cPx @ X4 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ( cP @ e @ b @ X2 )
=> ~ ( cP @ b @ X1 @ X3 ) )
=> ( ( cP @ X2 @ X1 @ X4 )
= ( cPx @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ( sP17
=> ~ sP17 ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(cGRP_COMM,conjecture,
sP44 ).
thf(h0,negated_conjecture,
~ sP44,
inference(assume_negation,[status(cth)],[cGRP_COMM]) ).
thf(1,plain,
( ~ sP38
| ~ sP26
| ~ sP31 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP49
| ~ sP26
| ~ sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP19
| ~ sP20
| ~ sP56 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP14
| ~ sP4
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP45
| ~ sP56
| sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP50
| sP49
| sP21 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP11
| sP38
| sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP43
| sP19
| sP45 ),
inference(prop_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP63
| ~ sP17
| ~ sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP33
| sP20 ),
inference(all_rule,[status(thm)],[]) ).
thf(11,plain,
( ~ sP25
| sP56 ),
inference(all_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP25
| sP26 ),
inference(all_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP2
| sP31
| ~ sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP30
| sP14
| sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(15,plain,
( ~ sP55
| sP43 ),
inference(all_rule,[status(thm)],[]) ).
thf(16,plain,
( ~ sP47
| sP11 ),
inference(all_rule,[status(thm)],[]) ).
thf(17,plain,
( ~ sP57
| sP50 ),
inference(all_rule,[status(thm)],[]) ).
thf(18,plain,
( ~ sP48
| ~ sP20
| sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( ~ sP60
| sP63
| sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
( ~ sP29
| sP57 ),
inference(all_rule,[status(thm)],[]) ).
thf(21,plain,
( ~ sP24
| sP47 ),
inference(all_rule,[status(thm)],[]) ).
thf(22,plain,
( sP58
| sP25 ),
inference(prop_rule,[status(thm)],[]) ).
thf(23,plain,
( sP58
| sP33 ),
inference(prop_rule,[status(thm)],[]) ).
thf(24,plain,
( ~ sP27
| sP55 ),
inference(all_rule,[status(thm)],[]) ).
thf(25,plain,
( ~ sP18
| sP30 ),
inference(all_rule,[status(thm)],[]) ).
thf(26,plain,
( ~ sP34
| sP24 ),
inference(all_rule,[status(thm)],[]) ).
thf(27,plain,
( ~ sP10
| sP29 ),
inference(all_rule,[status(thm)],[]) ).
thf(28,plain,
( ~ sP16
| sP60 ),
inference(all_rule,[status(thm)],[]) ).
thf(29,plain,
( ~ sP28
| sP16 ),
inference(all_rule,[status(thm)],[]) ).
thf(30,plain,
( ~ sP59
| sP10 ),
inference(all_rule,[status(thm)],[]) ).
thf(31,plain,
( ~ sP59
| sP34 ),
inference(all_rule,[status(thm)],[]) ).
thf(32,plain,
( ~ sP15
| sP18 ),
inference(all_rule,[status(thm)],[]) ).
thf(33,plain,
( ~ sP7
| sP27 ),
inference(all_rule,[status(thm)],[]) ).
thf(34,plain,
( ~ sP62
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(35,plain,
( ~ sP37
| sP62 ),
inference(all_rule,[status(thm)],[]) ).
thf(36,plain,
( ~ sP51
| sP37 ),
inference(all_rule,[status(thm)],[]) ).
thf(37,plain,
( ~ sP41
| sP15 ),
inference(all_rule,[status(thm)],[]) ).
thf(38,plain,
( ~ sP40
| sP59 ),
inference(all_rule,[status(thm)],[]) ).
thf(39,plain,
( ~ sP23
| sP28 ),
inference(all_rule,[status(thm)],[]) ).
thf(40,plain,
( ~ sP53
| sP4 ),
inference(all_rule,[status(thm)],[]) ).
thf(41,plain,
( ~ sP53
| sP17 ),
inference(all_rule,[status(thm)],[]) ).
thf(42,plain,
( ~ sP8
| ~ sP36
| ~ sP36 ),
inference(prop_rule,[status(thm)],[]) ).
thf(43,plain,
( sP52
| sP53 ),
inference(prop_rule,[status(thm)],[]) ).
thf(44,plain,
( sP52
| ~ sP58 ),
inference(prop_rule,[status(thm)],[]) ).
thf(45,plain,
( ~ sP35
| sP12
| ~ sP46 ),
inference(prop_rule,[status(thm)],[]) ).
thf(46,plain,
( ~ sP6
| sP36
| ~ sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(47,plain,
( ~ sP21
| ~ sP54
| sP46 ),
inference(prop_rule,[status(thm)],[]) ).
thf(48,plain,
( ~ sP32
| sP8
| sP35 ),
inference(prop_rule,[status(thm)],[]) ).
thf(49,plain,
( ~ sP22
| sP32 ),
inference(all_rule,[status(thm)],[]) ).
thf(50,plain,
( ~ sP13
| sP22 ),
inference(all_rule,[status(thm)],[]) ).
thf(51,plain,
( ~ sP23
| sP13 ),
inference(all_rule,[status(thm)],[]) ).
thf(52,plain,
( ~ sP5
| sP23 ),
inference(all_rule,[status(thm)],[]) ).
thf(53,plain,
( ~ sP40
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(54,plain,
( ~ sP39
| sP41 ),
inference(all_rule,[status(thm)],[]) ).
thf(55,plain,
( ~ sP61
| sP39 ),
inference(all_rule,[status(thm)],[]) ).
thf(56,plain,
( ~ sP51
| sP61 ),
inference(all_rule,[status(thm)],[]) ).
thf(57,plain,
( ~ sP51
| sP40 ),
inference(all_rule,[status(thm)],[]) ).
thf(58,plain,
( sP1
| sP51 ),
inference(prop_rule,[status(thm)],[]) ).
thf(59,plain,
( sP1
| ~ sP52 ),
inference(prop_rule,[status(thm)],[]) ).
thf(60,plain,
( sP42
| ~ sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(61,plain,
( sP42
| sP54 ),
inference(prop_rule,[status(thm)],[]) ).
thf(62,plain,
( sP44
| ~ sP42 ),
inference(prop_rule,[status(thm)],[]) ).
thf(63,plain,
( sP44
| ~ sP1 ),
inference(prop_rule,[status(thm)],[]) ).
thf(64,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,h0]) ).
thf(0,theorem,
sP44,
inference(contra,[status(thm),contra(discharge,[h0])],[64,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO169^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n012.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 01:30:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 35.18/35.35 % SZS status Theorem
% 35.18/35.35 % Mode: mode482
% 35.18/35.35 % Inferences: 25178
% 35.18/35.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------