TSTP Solution File: SYO132^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO132^5 : 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 : n008.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 19:30:27 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cS,type,
cS: $i > $o ).
thf(ty_cP,type,
cP: ( $i > $o ) > $o ).
thf(ty_cT,type,
cT: $i > $o ).
thf(ty_cX,type,
cX: $i ).
thf(sP1,plain,
( sP1
<=> ( cS = cT ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( cS @ cX )
= ( cT @ cX ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
( ( cS @ X1 )
= ( cT @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( cT @ cX ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( cP @ cT ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( cS @ cX ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( cP @ cS ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(cTHM503,conjecture,
( ~ ( ~ ( sP7
=> ~ sP4 )
=> ~ sP1 )
=> ~ ( sP5
=> ~ sP6 ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( sP7
=> ~ sP4 )
=> ~ sP1 )
=> ~ ( sP5
=> ~ sP6 ) ),
inference(assume_negation,[status(cth)],[cTHM503]) ).
thf(h1,assumption,
~ ( ~ ( sP7
=> ~ sP4 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
( sP5
=> ~ sP6 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP7
=> ~ sP4 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
sP7,
introduced(assumption,[]) ).
thf(h6,assumption,
sP4,
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP7
| sP5
| ~ sP1 ),
inference(mating_rule,[status(thm)],]) ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h5,h6,h3,h4,h1,h2,h0])],[1,h5,h4,h7]) ).
thf(3,plain,
( ~ sP2
| sP6
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP3
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP1
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h5,h6,h3,h4,h1,h2,h0])],[3,4,5,h6,h4,h8]) ).
thf(7,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h2,2,6,h7,h8]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,7,h5,h6]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,8,h3,h4]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,9,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( sP7
=> ~ sP4 )
=> ~ sP1 )
=> ~ ( sP5
=> ~ sP6 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[10,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO132^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n008.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 18:23:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % SZS status Theorem
% 0.12/0.36 % Mode: mode213
% 0.12/0.36 % Inferences: 21
% 0.12/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------