TSTP Solution File: PUZ136^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : PUZ136^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n028.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 : Mon Jul 18 18:26:06 EDT 2022
% Result : Theorem 1.99s 2.26s
% Output : Proof 1.99s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_zeus,type,
zeus: $i ).
thf(ty_parent,type,
parent: $i > $i > $o ).
thf(ty_sutekh,type,
sutekh: $i ).
thf(ty_horus,type,
horus: $i ).
thf(ty_kronus,type,
kronus: $i ).
thf(sP1,plain,
( sP1
<=> ( parent @ kronus @ zeus ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i,X2: $i] :
( ( parent @ kronus @ X1 )
=> ( parent @ kronus @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
( sP1
=> ( parent @ kronus @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
( ( parent @ kronus @ horus )
=> ( parent @ X1 @ horus ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i,X2: $i] :
( ( parent @ X1 @ horus )
=> ( parent @ X2 @ horus ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( sP1
=> ( parent @ kronus @ sutekh ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( parent @ kronus @ horus ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( parent @ kronus @ sutekh )
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i] :
( ( parent @ kronus @ sutekh )
=> ( parent @ kronus @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( parent @ sutekh @ horus ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( parent @ kronus @ sutekh ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $i > $o,X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( X1 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( sP7
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(hotwo,conjecture,
~ sP12 ).
thf(h0,negated_conjecture,
sP12,
inference(assume_negation,[status(cth)],[hotwo]) ).
thf(1,plain,
( ~ sP3
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP6
| ~ sP1
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP9
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP8
| ~ sP11
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP4
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP13
| ~ sP7
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP5
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP2
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP2
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP12
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP12
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(ax2,axiom,
~ sP10 ).
thf(ax1,axiom,
sP1 ).
thf(12,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,ax2,ax1,h0]) ).
thf(0,theorem,
~ sP12,
inference(contra,[status(thm),contra(discharge,[h0])],[12,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ136^1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n028.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 : Sat May 28 21:42:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.99/2.26 % SZS status Theorem
% 1.99/2.26 % Mode: mode506
% 1.99/2.26 % Inferences: 38867
% 1.99/2.26 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------