TSTP Solution File: SYO207^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO207^5 : 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 : n027.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 19:30:52 EDT 2022
% Result : Theorem 0.14s 0.37s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__1,type,
eigen__1: $o ).
thf(ty_eigen__0,type,
eigen__0: $o ).
thf(sP1,plain,
( sP1
<=> eigen__1 ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> eigen__0 ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cCT26,conjecture,
! [X1: $o,X2: $o] :
( ( X1 = X2 )
= ( X2 = X1 ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $o,X2: $o] :
( ( X1 = X2 )
= ( X2 = X1 ) ),
inference(assume_negation,[status(cth)],[cCT26]) ).
thf(h1,assumption,
~ ! [X1: $o] :
( ( sP2 = X1 )
= ( X1 = sP2 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
( sP2 = sP1 )
!= ( sP1 = sP2 ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP2 = sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
sP1 = sP2,
introduced(assumption,[]) ).
thf(h5,assumption,
sP2 != sP1,
introduced(assumption,[]) ).
thf(h6,assumption,
sP1 != sP2,
introduced(assumption,[]) ).
thf(h7,assumption,
sP2,
introduced(assumption,[]) ).
thf(h8,assumption,
sP1,
introduced(assumption,[]) ).
thf(h9,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h7,h7,h8,h3,h4,h2,h1,h0])],[h7,h7]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h7,h8,h3,h4,h2,h1,h0])],[h8,h10]) ).
thf(3,plain,
$false,
inference(tab_be,[status(thm),assumptions([h7,h8,h3,h4,h2,h1,h0]),tab_be(discharge,[h8,h7]),tab_be(discharge,[h10,h9])],[h4,1,2,h8,h7,h10,h9]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h7,h9,h10,h3,h4,h2,h1,h0])],[h8,h10]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h9,h10,h3,h4,h2,h1,h0])],[h9,h9]) ).
thf(6,plain,
$false,
inference(tab_be,[status(thm),assumptions([h9,h10,h3,h4,h2,h1,h0]),tab_be(discharge,[h8,h7]),tab_be(discharge,[h10,h9])],[h4,4,5,h8,h7,h10,h9]) ).
thf(7,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_bq(discharge,[h7,h8]),tab_bq(discharge,[h9,h10])],[h3,3,6,h7,h8,h9,h10]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h7,h7,h8,h5,h6,h2,h1,h0])],[h8,h8]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h7,h8,h5,h6,h2,h1,h0])],[h7,h9]) ).
thf(10,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h7,h8,h5,h6,h2,h1,h0]),tab_bq(discharge,[h8,h7]),tab_bq(discharge,[h10,h9])],[h6,8,9,h8,h7,h10,h9]) ).
thf(11,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h7,h9,h10,h5,h6,h2,h1,h0])],[h7,h9]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h9,h10,h5,h6,h2,h1,h0])],[h10,h10]) ).
thf(13,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h9,h10,h5,h6,h2,h1,h0]),tab_bq(discharge,[h8,h7]),tab_bq(discharge,[h10,h9])],[h6,11,12,h8,h7,h10,h9]) ).
thf(14,plain,
$false,
inference(tab_be,[status(thm),assumptions([h5,h6,h2,h1,h0]),tab_be(discharge,[h7,h8]),tab_be(discharge,[h9,h10])],[h5,10,13,h7,h8,h9,h10]) ).
thf(15,plain,
$false,
inference(tab_be,[status(thm),assumptions([h2,h1,h0]),tab_be(discharge,[h3,h4]),tab_be(discharge,[h5,h6])],[h2,7,14,h3,h4,h5,h6]) ).
thf(16,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,15,h2]) ).
thf(17,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,16,h1]) ).
thf(0,theorem,
! [X1: $o,X2: $o] :
( ( X1 = X2 )
= ( X2 = X1 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO207^5 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 12:29:16 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % SZS status Theorem
% 0.14/0.37 % Mode: mode213
% 0.14/0.37 % Inferences: 0
% 0.14/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------