TSTP Solution File: SYO365^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO365^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n009.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 19:31:39 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cC,type,
cC: $o > $o ).
thf(ty_cA,type,
cA: $o ).
thf(sP1,plain,
( sP1
<=> ( cC @ cA ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(def_cEXT2,definition,
( cEXT2
= ( sP1
=> sP1 ) ) ).
thf(def_cEXT_eq_0,definition,
( cEXT_eq_0
= ( ! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X1 = X2 ) ) ) ) ).
thf(cEXT2A,conjecture,
( ! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X1 = X2 ) )
=> ( sP1
=> sP1 ) ) ).
thf(h0,negated_conjecture,
~ ( ! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X1 = X2 ) )
=> ( sP1
=> sP1 ) ),
inference(assume_negation,[status(cth)],[cEXT2A]) ).
thf(h1,assumption,
! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X1 = X2 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP1
=> sP1 ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h4,h1,h2,h0])],[h3,h4]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h2,1,h3,h4]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,2,h1,h2]) ).
thf(0,theorem,
( ! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X1 = X2 ) )
=> ( sP1
=> sP1 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO365^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 20:18:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % SZS status Theorem
% 0.12/0.35 % Mode: mode213
% 0.12/0.35 % Inferences: 0
% 0.12/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------