TSTP Solution File: SYO170^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO170^5 : 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 : n009.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 19:30:38 EDT 2022
% Result : Theorem 28.19s 28.36s
% Output : Proof 28.19s
% 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_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 )
= ( cP @ X1 @ X5 @ X6 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cP @ a @ e @ a ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cP @ b @ a @ ab ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] : ( cP @ e @ X1 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( cP @ b @ ab @ a ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ( cP @ a @ a @ X2 )
=> ~ ( cP @ a @ X1 @ X3 ) )
=> ( ( cP @ X2 @ X1 @ X4 )
= ( cP @ a @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( ( cP @ X1 @ X2 @ X4 )
=> ~ ( cP @ X2 @ X3 @ X5 ) )
=> ( ( cP @ X4 @ X3 @ X6 )
= ( cP @ X1 @ X5 @ X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( cP @ b @ b @ e )
=> ~ sP5 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( cP @ a @ a @ e ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( cP @ e @ b @ b )
= ( cP @ a @ ab @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ( cP @ b @ b @ X2 )
=> ~ ( cP @ b @ X1 @ X3 ) )
=> ( ( cP @ X2 @ X1 @ X4 )
= ( cP @ b @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cP @ b @ b @ X1 )
=> ~ ( cP @ b @ ab @ X2 ) )
=> ( ( cP @ X1 @ ab @ X3 )
= ( cP @ b @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ( cP @ b @ X1 @ X3 )
=> ~ ( cP @ X1 @ X2 @ X4 ) )
=> ( ( cP @ X3 @ X2 @ X5 )
= ( cP @ b @ X4 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i] :
( ~ ( ( cP @ a @ ab @ b )
=> ~ ( cP @ ab @ ab @ e ) )
=> ( ( cP @ b @ ab @ X1 )
= ( cP @ a @ e @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cP @ a @ ab @ X1 )
=> ~ ( cP @ ab @ ab @ X2 ) )
=> ( ( cP @ X1 @ ab @ X3 )
= ( cP @ a @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ~ ( ( cP @ a @ ab @ b )
=> ~ ( cP @ ab @ ab @ e ) )
=> ( sP5 = sP2 ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( cP @ a @ b @ ab ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( ~ sP8
=> ( ( cP @ e @ ab @ ab )
= sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( cP @ a @ ab @ b )
=> ~ ( cP @ ab @ ab @ e ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ( cP @ a @ a @ X1 )
=> ~ ( cP @ a @ b @ X2 ) )
=> ( ( cP @ X1 @ b @ X3 )
= ( cP @ a @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: $i] :
( ~ sP8
=> ( ( cP @ e @ ab @ X1 )
= ( cP @ b @ a @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( sP5 = sP2 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cP @ a @ ab @ b )
=> ~ ( cP @ ab @ ab @ X1 ) )
=> ( ( cP @ b @ ab @ X2 )
= ( cP @ a @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( cP @ ab @ ab @ e ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: $i] : ( cP @ X1 @ X1 @ e ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( cP @ e @ ab @ ab ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $i] : ( cP @ X1 @ e @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( cP @ b @ b @ e ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( sP9
=> ~ sP17 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ! [X1: $i] :
( ~ sP29
=> ( ( cP @ e @ b @ X1 )
= ( cP @ a @ ab @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( sP17
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( cP @ a @ ab @ b ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ( cP @ a @ X1 @ X3 )
=> ~ ( cP @ X1 @ X2 @ X4 ) )
=> ( ( cP @ X3 @ X2 @ X5 )
= ( cP @ a @ X4 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( ~ sP1
=> sP31 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: $i,X2: $i] :
( ~ ( sP28
=> ~ ( cP @ b @ ab @ X1 ) )
=> ( ( cP @ e @ ab @ X2 )
= ( cP @ b @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( sP4
=> ~ sP27 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( sP26 = sP3 ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ! [X1: $i,X2: $i] :
( ~ ( sP9
=> ~ ( cP @ a @ b @ X1 ) )
=> ( ( cP @ e @ b @ X2 )
= ( cP @ a @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ~ sP36
=> ~ sP25 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( ~ sP29
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( cP @ e @ b @ b ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ( cP @ a @ ab @ X2 )
=> ~ ( cP @ ab @ X1 @ X3 ) )
=> ( ( cP @ X2 @ X1 @ X4 )
= ( cP @ a @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(cTHM105,conjecture,
sP34 ).
thf(h0,negated_conjecture,
~ sP34,
inference(assume_negation,[status(cth)],[cTHM105]) ).
thf(1,plain,
( ~ sP29
| ~ sP9
| ~ sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP8
| ~ sP28
| ~ sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP37
| ~ sP26
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP10
| ~ sP41
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP19
| ~ sP32
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP40
| sP29
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP22
| sP5
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP18
| sP8
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP16
| sP19
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP30
| sP40 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP21
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP14
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP38
| sP30 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP35
| sP21 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP23
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP20
| sP38 ),
inference(all_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP12
| sP35 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP15
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP42
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP25
| sP24 ),
inference(all_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP4
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP33
| sP42 ),
inference(all_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP11
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP6
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP33
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP7
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP25
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP4
| sP41 ),
inference(all_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP7
| sP33 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP25
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP27
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(33,plain,
( sP36
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(34,plain,
( sP36
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(35,plain,
( sP39
| sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(36,plain,
( sP39
| ~ sP36 ),
inference(prop_rule,[status(thm)],]) ).
thf(37,plain,
( sP31
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( sP31
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(39,plain,
( sP1
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( sP1
| ~ sP39 ),
inference(prop_rule,[status(thm)],]) ).
thf(41,plain,
( sP34
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( sP34
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,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,h0]) ).
thf(0,theorem,
sP34,
inference(contra,[status(thm),contra(discharge,[h0])],[43,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO170^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 04:58:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 28.19/28.36 % SZS status Theorem
% 28.19/28.36 % Mode: mode454
% 28.19/28.36 % Inferences: 11205
% 28.19/28.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------