TSTP Solution File: PUZ136^1 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : PUZ136^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n024.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 13:22:00 EDT 2023
% Result : Theorem 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_kronus,type,
kronus: $i ).
thf(ty_horus,type,
horus: $i ).
thf(ty_zeus,type,
zeus: $i ).
thf(ty_sutekh,type,
sutekh: $i ).
thf(sP1,plain,
( sP1
<=> ( parent @ sutekh @ horus ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( horus = sutekh ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( sutekh = kronus ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( horus = kronus ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i] : ( X1 = kronus ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( kronus = horus ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> $false ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( parent @ kronus @ kronus ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i,X2: $i] :
( ( X1 = kronus )
=> ( X2 = kronus ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( zeus = kronus ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i > $o,X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( X1 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( parent @ kronus @ zeus ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( kronus = sutekh ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(hotwo,conjecture,
~ sP11 ).
thf(h0,negated_conjecture,
sP11,
inference(assume_negation,[status(cth)],[hotwo]) ).
thf(1,plain,
( ~ sP3
| sP2
| ~ sP6
| sP7 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP4
| sP13
| sP7
| ~ sP2 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP4
| sP6
| ~ sP4
| sP7 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP5
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP5
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP5
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP9
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP11
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP8
| sP1
| ~ sP6
| ~ sP13 ),
inference(mating_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP12
| sP8
| ~ sP10
| sP7 ),
inference(mating_rule,[status(thm)],]) ).
thf(11,plain,
~ sP7,
inference(prop_rule,[status(thm)],]) ).
thf(ax2,axiom,
~ sP1 ).
thf(ax1,axiom,
sP12 ).
thf(12,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,h0,ax2,ax1]) ).
thf(0,theorem,
~ sP11,
inference(contra,[status(thm),contra(discharge,[h0])],[12,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ136^1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n024.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 : Sat Aug 26 22:10:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 % Mode: cade22grackle2xfee4
% 0.19/0.41 % Steps: 822
% 0.19/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------