TSTP Solution File: SYO136^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO136^5 : 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 : n005.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 19:30:28 EDT 2022
% Result : Theorem 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cP,type,
cP: $i > $o ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_cB,type,
cB: $o ).
thf(ty_cQ,type,
cQ: $i > $o ).
thf(ty_x,type,
x: $i ).
thf(sP1,plain,
( sP1
<=> ( cQ @ x ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
~ ( cQ @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cADDHYP3,conjecture,
( ( ( ~ ! [X1: $i] :
~ ( cP @ X1 )
=> cB )
=> cB )
=> ( sP1
=> ~ sP2 ) ) ).
thf(h0,negated_conjecture,
~ ( ( ( ~ ! [X1: $i] :
~ ( cP @ X1 )
=> cB )
=> cB )
=> ( sP1
=> ~ sP2 ) ),
inference(assume_negation,[status(cth)],[cADDHYP3]) ).
thf(h1,assumption,
( ( ~ ! [X1: $i] :
~ ( cP @ X1 )
=> cB )
=> cB ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP1
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ ! [X1: $i] :
~ ( cP @ X1 )
=> cB ),
introduced(assumption,[]) ).
thf(h4,assumption,
cB,
introduced(assumption,[]) ).
thf(h5,assumption,
~ ! [X1: $i] :
~ ( cP @ X1 ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ cB,
introduced(assumption,[]) ).
thf(h7,assumption,
cP @ eigen__0,
introduced(assumption,[]) ).
thf(h8,assumption,
sP1,
introduced(assumption,[]) ).
thf(h9,assumption,
sP2,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP2
| ~ sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h9,h7,h5,h6,h3,h1,h2,h0])],[1,h8,h9]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h8,h9])],[h2,2,h8,h9]) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h6,h3,h1,h2,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__0)],[h5,3,h7]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,4,h5,h6]) ).
thf(6,plain,
( ~ sP2
| ~ sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h9,h4,h1,h2,h0])],[6,h8,h9]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h4,h1,h2,h0]),tab_negimp(discharge,[h8,h9])],[h2,7,h8,h9]) ).
thf(9,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,5,8,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,
( ( ( ~ ! [X1: $i] :
~ ( cP @ X1 )
=> cB )
=> cB )
=> ( sP1
=> ~ sP2 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[10,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO136^5 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n005.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 20:08:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % Mode: mode213
% 0.19/0.36 % Inferences: 3
% 0.19/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------