TSTP Solution File: ITP167^1 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP167^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -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 Aug 31 04:02:41 EDT 2023
% Result : Theorem 129.69s 129.94s
% Output : Proof 129.69s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_int,type,
int: $tType ).
thf(ty_list_char,type,
list_char: $tType ).
thf(ty_com,type,
com: $tType ).
thf(ty_c2,type,
c2: com ).
thf(ty_relati2102071307_hoare,type,
relati2102071307_hoare: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(ty_relati775585786_valid,type,
relati775585786_valid: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(ty_skip,type,
skip: com ).
thf(ty_q,type,
q: ( list_char > int ) > ( list_char > int ) > $o ).
thf(ty_relati1310524937decomp,type,
relati1310524937decomp: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > $o ).
thf(ty_c,type,
c: com ).
thf(ty_p,type,
p: ( list_char > int ) > ( list_char > int ) > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: com,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ X1 @ X2 @ X3 @ X4 )
=> ( relati775585786_valid @ X1 @ X2 @ X3 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( relati775585786_valid @ p @ c @ c2 @ q ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
=> ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ p @ c @ X1 @ X2 )
=> ( relati2102071307_hoare @ p @ c @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ p @ c @ c2 @ X1 )
=> ( relati775585786_valid @ p @ c @ c2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ X1 @ X2 @ X3 )
=> ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ X1 )
=> ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: com,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X1 @ X2 @ X3 @ X4 )
=> ~ ( ( relati775585786_valid @ X1 @ X2 @ skip @ ( relati1310524937decomp @ X1 @ X2 @ X3 @ X4 ) )
=> ~ ( relati775585786_valid @ ( relati1310524937decomp @ X1 @ X2 @ X3 @ X4 ) @ skip @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ~ ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
=> ~ ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) )
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ p @ c @ skip @ X1 )
=> ( relati2102071307_hoare @ p @ c @ skip @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ p @ c @ skip @ X1 )
=> ( relati775585786_valid @ p @ c @ skip @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ X1 @ X2 @ X3 )
=> ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( relati2102071307_hoare @ p @ c @ c2 @ q ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
=> ~ ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ X1 @ X2 ) )
=> ( relati775585786_valid @ p @ c @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( sP2
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( ( relati775585786_valid @ p @ c @ skip @ X1 )
=> ~ ( relati775585786_valid @ X1 @ skip @ X2 @ X3 ) )
=> ( relati775585786_valid @ p @ c @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
=> ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
=> ~ sP13 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ X1 @ X2 )
=> ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
=> ~ ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ X1 ) )
=> ( relati775585786_valid @ p @ c @ c2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( ( relati775585786_valid @ p @ X1 @ skip @ X2 )
=> ~ ( relati775585786_valid @ X2 @ skip @ X3 @ X4 ) )
=> ( relati775585786_valid @ p @ X1 @ X3 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ! [X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ p @ X1 @ X2 @ X3 )
=> ( relati2102071307_hoare @ p @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
=> sP13 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ X1 @ X2 )
=> ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( sP14
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X4: com,X5: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( ( relati775585786_valid @ X1 @ X2 @ skip @ X3 )
=> ~ ( relati775585786_valid @ X3 @ skip @ X4 @ X5 ) )
=> ( relati775585786_valid @ X1 @ X2 @ X4 @ X5 ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
=> ~ ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: com,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X1 @ X2 @ X3 @ X4 )
=> ( relati2102071307_hoare @ X1 @ X2 @ X3 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ! [X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ p @ c @ X1 @ X2 )
=> ~ ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ X1 @ X2 ) )
=> ~ ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ X1 @ X2 ) @ skip @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ X1 )
=> ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ p @ c @ c2 @ X1 )
=> ~ ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ X1 ) )
=> ~ ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ X1 ) @ skip @ c2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( sP2
=> ~ sP19 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ p @ c @ c2 @ X1 )
=> ( relati2102071307_hoare @ p @ c @ c2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( sP14 = ~ sP29 ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ! [X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ p @ X1 @ X2 @ X3 )
=> ~ ( ( relati775585786_valid @ p @ X1 @ skip @ ( relati1310524937decomp @ p @ X1 @ X2 @ X3 ) )
=> ~ ( relati775585786_valid @ ( relati1310524937decomp @ p @ X1 @ X2 @ X3 ) @ skip @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( sP13
=> sP38 ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ! [X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ p @ X1 @ X2 @ X3 )
=> ( relati775585786_valid @ p @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ! [X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ p @ c @ X1 @ X2 )
=> ( relati775585786_valid @ p @ c @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(conj_0,conjecture,
sP37 ).
thf(h0,negated_conjecture,
~ sP37,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP19
| ~ sP27
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP9
| sP19
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( sP19
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP19
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP21
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP34
| ~ sP2
| ~ sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP15
| sP21 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP33
| sP34 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP17
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP31
| sP33 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP22
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP39
| sP31 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP28
| sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP8
| sP39 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP40
| ~ sP13
| sP38 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP18
| ~ sP27
| sP36 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP16
| ~ sP2
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP32
| sP40 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP10
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP35
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP20
| sP32 ),
inference(all_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP4
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP4
| sP35 ),
inference(all_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP6
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP23
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP30
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP30
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP24
| ~ sP38
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP3
| ~ sP36
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP26
| ~ sP14
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP7
| sP24 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP11
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP5
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP25
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(35,plain,
( ~ sP42
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP42
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP12
| sP25 ),
inference(all_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP41
| sP42 ),
inference(all_rule,[status(thm)],]) ).
thf(39,plain,
( ~ sP1
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(40,plain,
( ~ sP1
| sP41 ),
inference(all_rule,[status(thm)],]) ).
thf(41,plain,
( ~ sP29
| ~ sP36
| ~ sP38 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( sP29
| sP38 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,plain,
( sP29
| sP36 ),
inference(prop_rule,[status(thm)],]) ).
thf(44,plain,
( sP37
| ~ sP14
| sP29 ),
inference(prop_rule,[status(thm)],]) ).
thf(45,plain,
( sP37
| sP14
| ~ sP29 ),
inference(prop_rule,[status(thm)],]) ).
thf(fact_9_ir__valid__decomp2,axiom,
sP28 ).
thf(fact_8_ir__valid__decomp1,axiom,
sP8 ).
thf(fact_1_completeness,axiom,
sP30 ).
thf(fact_0_soundness,axiom,
sP1 ).
thf(46,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,fact_9_ir__valid__decomp2,fact_8_ir__valid__decomp1,fact_1_completeness,fact_0_soundness,h0]) ).
thf(0,theorem,
sP37,
inference(contra,[status(thm),contra(discharge,[h0])],[46,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP167^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n012.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 : 300
% 0.13/0.34 % DateTime : Sun Aug 27 16:48:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 129.69/129.94 % SZS status Theorem
% 129.69/129.94 % Mode: cade22sinegrackle2xec37
% 129.69/129.94 % Steps: 31888
% 129.69/129.94 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------