TSTP Solution File: SYO178^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO178^5 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 19:30:40 EDT 2022
% Result : Theorem 2.12s 2.37s
% Output : Proof 2.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cG,type,
cG: $o ).
thf(ty_cP,type,
cP: $o ).
thf(ty_cL,type,
cL: $o ).
thf(ty_cC,type,
cC: $o ).
thf(ty_cR,type,
cR: $o ).
thf(ty_cE,type,
cE: $o ).
thf(ty_cB,type,
cB: $o ).
thf(ty_cM,type,
cM: $o ).
thf(ty_cF,type,
cF: $o ).
thf(ty_cK,type,
cK: $o ).
thf(ty_cN,type,
cN: $o ).
thf(sP1,plain,
( sP1
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( cL
=> ~ cE )
=> ~ ( cF
=> cB ) )
=> ~ ( ~ ( cL
=> ~ cP )
=> cM ) )
=> ~ ( ~ ( cG
=> cR )
=> cM ) )
=> ~ ( ~ ( ~ cG
=> cP )
=> cR ) )
=> ~ ( ~ ( cK
=> ~ cB )
=> cC ) )
=> ~ ( ~ ( cL
=> ~ cM )
=> cC ) )
=> ~ ( ~ ( ~ cG
=> cR )
=> cK ) )
=> ~ ( ~ ( cR
=> ~ cE )
=> ~ cC ) )
=> ~ ( ~ ( ~ ( cR
=> cN )
=> cF )
=> cP ) )
=> ~ ( ~ ( ~ ( cK
=> ~ cL )
=> ~ cE )
=> ~ cM ) )
=> ~ ( ~ ( ~ ( cG
=> cK )
=> cM )
=> ~ cB ) )
=> ~ ( ~ ( ~ ( cN
=> cP )
=> cF )
=> cC ) )
=> ~ ( ~ ( ~ ( cG
=> ~ cB )
=> cR )
=> ~ cC ) )
=> ~ ( ~ ( ~ ( ~ cK
=> ~ cN )
=> ~ cM )
=> cF ) )
=> ~ ( ~ ( ~ ( cR
=> cK )
=> cM )
=> cG ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ~ cK
=> ~ cN ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ~ ( cR
=> cN )
=> cF ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ ( cN
=> cP )
=> cF ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( cG
=> cK ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> cN ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> cP ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cL
=> ~ sP7 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ~ ( cR
=> ~ cE )
=> ~ cC ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ~ ( cR
=> cK )
=> cM ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ~ sP3
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( cL
=> ~ cE )
=> ~ ( cF
=> cB ) )
=> ~ ( ~ sP8
=> cM ) )
=> ~ ( ~ ( cG
=> cR )
=> cM ) )
=> ~ ( ~ ( ~ cG
=> sP7 )
=> cR ) )
=> ~ ( ~ ( cK
=> ~ cB )
=> cC ) )
=> ~ ( ~ ( cL
=> ~ cM )
=> cC ) )
=> ~ ( ~ ( ~ cG
=> cR )
=> cK ) )
=> ~ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ~ sP5
=> cM ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ~ ( ~ ( cK
=> ~ cL )
=> ~ cE )
=> ~ cM ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ~ ( cL
=> ~ cE )
=> ~ ( cF
=> cB ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> cM ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( cR
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( cR
=> ~ cE ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ~ sP8
=> sP16 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ~ sP4
=> cC ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ~ ( cL
=> ~ sP16 )
=> cC ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ~ ( ~ ( cG
=> ~ cB )
=> cR )
=> ~ cC ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> cL ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> cB ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( ~ ( ~ sP15
=> ~ sP19 )
=> ~ ( ~ ( cG
=> cR )
=> sP16 ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( ~ ( cK
=> ~ sP23 )
=> ~ cE ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( ~ sP15
=> ~ sP19 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( ~ ( ~ ( ~ sP12
=> ~ sP11 )
=> ~ sP14 )
=> ~ ( ~ sP13
=> ~ sP24 ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( ~ ( cE
=> cK )
=> ~ cG ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ~ ( ~ cG
=> sP7 )
=> cR ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ~ cG
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ~ sP25
=> ~ sP30 ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( sP23
=> ~ cE ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( cK
=> ~ sP23 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( cE
=> cK ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( ~ sP13
=> ~ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> cK ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( ~ cG
=> cR ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ~ ( ~ sP28
=> ~ sP20 )
=> ~ sP22 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( cG
=> cR ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( ~ sP10
=> cG ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> cG ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( sP42
=> ~ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( sP37
=> ~ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( cF
=> sP24 ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( ~ sP12
=> ~ sP11 ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( ~ sP28
=> ~ sP20 ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> cC ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> cF ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ( ~ ( ~ sP29
=> sP6 )
=> ~ sP16 ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( ~ sP43
=> cR ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( ~ sP1
=> ~ sP50 ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( ~ ( ~ ( ~ sP32
=> ~ ( ~ sP44
=> sP48 ) )
=> ~ sP21 )
=> ~ ( ~ sP38
=> sP37 ) ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( sP23
=> ~ sP16 ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ( ~ sP39
=> ~ ( ~ ( ~ sP2
=> ~ sP16 )
=> sP49 ) ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( cR
=> sP37 ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( ~ sP46
=> ~ sP14 ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( ~ sP44
=> sP48 ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( ~ sP2
=> ~ sP16 ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ( ~ sP59
=> sP49 ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( sP6
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( ~ sP40
=> sP16 ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ( ~ sP29
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( ~ ( ~ sP32
=> ~ sP58 )
=> ~ sP21 ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( ~ sP32
=> ~ sP58 ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> cR ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ( ~ sP38
=> sP37 ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> cE ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(cPORKCHOP1C,conjecture,
sP52 ).
thf(h0,negated_conjecture,
~ sP52,
inference(assume_negation,[status(cth)],[cPORKCHOP1C]) ).
thf(1,plain,
( sP33
| sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP33
| sP23 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP45
| ~ sP49
| sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP15
| sP45 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP15
| ~ sP33 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP8
| ~ sP23
| ~ sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP19
| sP8
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( sP27
| sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( sP27
| ~ sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP40
| ~ sP42
| sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP62
| sP40
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( sP25
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( sP25
| ~ sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP31
| sP42
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP30
| sP31
| sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( sP32
| sP30 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( sP32
| ~ sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP44
| ~ sP37
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP58
| sP44
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( sP65
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( sP65
| ~ sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP54
| ~ sP23
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP21
| sP54
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
( sP64
| sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
( sP64
| ~ sP65 ),
inference(prop_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP38
| sP42
| sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP17
| ~ sP66
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP67
| sP38
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( sP53
| sP67 ),
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
( sP53
| ~ sP64 ),
inference(prop_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP18
| ~ sP66
| ~ sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP34
| ~ sP37
| ~ sP23 ),
inference(prop_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP9
| sP18
| ~ sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(34,plain,
( sP12
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(35,plain,
( sP12
| ~ sP53 ),
inference(prop_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP3
| sP17
| sP49 ),
inference(prop_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP5
| ~ sP42
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP11
| sP3
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(39,plain,
( sP46
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( sP46
| ~ sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(41,plain,
( ~ sP26
| sP34
| ~ sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( ~ sP61
| ~ sP6
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,plain,
( ~ sP14
| sP26
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(44,plain,
( sP57
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(45,plain,
( sP57
| ~ sP46 ),
inference(prop_rule,[status(thm)],]) ).
thf(46,plain,
( ~ sP13
| sP5
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(47,plain,
( ~ sP43
| ~ sP42
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(48,plain,
( ~ sP36
| sP13
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( sP28
| sP36 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( sP28
| ~ sP57 ),
inference(prop_rule,[status(thm)],]) ).
thf(51,plain,
( ~ sP4
| sP61
| sP49 ),
inference(prop_rule,[status(thm)],]) ).
thf(52,plain,
( ~ sP2
| sP37
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(53,plain,
( ~ sP20
| sP4
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(54,plain,
( sP47
| sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(55,plain,
( sP47
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(56,plain,
( ~ sP51
| sP43
| sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(57,plain,
( ~ sP56
| ~ sP66
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(58,plain,
( ~ sP22
| sP51
| ~ sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(59,plain,
( sP39
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(60,plain,
( sP39
| ~ sP47 ),
inference(prop_rule,[status(thm)],]) ).
thf(61,plain,
( ~ sP59
| sP2
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(62,plain,
( ~ sP35
| ~ sP68
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(63,plain,
( ~ sP29
| sP35
| ~ sP42 ),
inference(prop_rule,[status(thm)],]) ).
thf(64,plain,
( ~ sP60
| sP59
| sP49 ),
inference(prop_rule,[status(thm)],]) ).
thf(65,plain,
( sP55
| sP60 ),
inference(prop_rule,[status(thm)],]) ).
thf(66,plain,
( sP55
| ~ sP39 ),
inference(prop_rule,[status(thm)],]) ).
thf(67,plain,
( ~ sP10
| sP56
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(68,plain,
( ~ sP41
| sP10
| sP42 ),
inference(prop_rule,[status(thm)],]) ).
thf(69,plain,
( sP1
| sP41 ),
inference(prop_rule,[status(thm)],]) ).
thf(70,plain,
( sP1
| ~ sP55 ),
inference(prop_rule,[status(thm)],]) ).
thf(71,plain,
( ~ sP63
| sP29
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(72,plain,
( ~ sP50
| sP63
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(73,plain,
( sP52
| sP50 ),
inference(prop_rule,[status(thm)],]) ).
thf(74,plain,
( sP52
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(75,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,h0]) ).
thf(0,theorem,
sP52,
inference(contra,[status(thm),contra(discharge,[h0])],[75,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO178^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 19:06:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.12/2.37 % SZS status Theorem
% 2.12/2.37 % Mode: mode506
% 2.12/2.37 % Inferences: 311294
% 2.12/2.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------