TSTP Solution File: SYO154^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO154^5 : 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 19:30:33 EDT 2022
% Result : Theorem 0.14s 0.36s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $i ).
thf(ty_cP,type,
cP: $i > $o ).
thf(ty_cR,type,
cR: $i > $o ).
thf(ty_cQ,type,
cQ: $i > $o ).
thf(ty_g,type,
g: $i > $i ).
thf(ty_f,type,
f: $i > $i ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i] :
( ( cQ @ X1 )
=> ( cR @ ( g @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cR @ ( g @ ( f @ a ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cQ @ ( f @ a ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( cP @ a )
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i] :
( ( cP @ X1 )
=> ( cQ @ ( f @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
~ ( cR @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP3
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cP @ a ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(cDEMO_TRIV1,conjecture,
( ~ ( ~ ( sP8
=> ~ sP5 )
=> ~ sP1 )
=> ~ sP6 ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( sP8
=> ~ sP5 )
=> ~ sP1 )
=> ~ sP6 ),
inference(assume_negation,[status(cth)],[cDEMO_TRIV1]) ).
thf(h1,assumption,
~ ( ~ ( sP8
=> ~ sP5 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP6,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP8
=> ~ sP5 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
sP8,
introduced(assumption,[]) ).
thf(h6,assumption,
sP5,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP6
| ~ sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP1
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP7
| ~ sP3
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP5
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP4
| ~ sP8
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0])],[1,2,3,4,5,h5,h6,h4,h2]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,6,h5,h6]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,7,h3,h4]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,8,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( sP8
=> ~ sP5 )
=> ~ sP1 )
=> ~ sP6 ),
inference(contra,[status(thm),contra(discharge,[h0])],[9,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO154^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 22:31:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % SZS status Theorem
% 0.14/0.36 % Mode: mode213
% 0.14/0.36 % Inferences: 9
% 0.14/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------