TSTP Solution File: SYO024^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO024^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n023.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 19:29:36 EDT 2022
% Result : Theorem 0.14s 0.35s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__0,type,
eigen__0: ( $o > $o > $o ) > $o ).
thf(sP1,plain,
( sP1
<=> ( eigen__0
@ ^ [X1: $o,X2: $o] :
~ ( X1
=> ~ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(def_leibeq,definition,
( leibeq
= ( ^ [X1: $o > $o > $o,X2: $o > $o > $o] :
! [X3: ( $o > $o > $o ) > $o] :
( ( X3 @ X1 )
=> ( X3 @ X2 ) ) ) ) ).
thf(conj,conjecture,
! [X1: ( $o > $o > $o ) > $o] :
( ( X1
@ ^ [X2: $o,X3: $o] :
~ ( X2
=> ~ X3 ) )
=> ( X1
@ ^ [X2: $o,X3: $o] :
~ ( X2
=> ~ X3 ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: ( $o > $o > $o ) > $o] :
( ( X1
@ ^ [X2: $o,X3: $o] :
~ ( X2
=> ~ X3 ) )
=> ( X1
@ ^ [X2: $o,X3: $o] :
~ ( X2
=> ~ X3 ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(h1,assumption,
~ ( sP1
=> sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP1,
introduced(assumption,[]) ).
thf(h3,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h2,h3,h1,h0])],[h2,h3]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,1,h2,h3]) ).
thf(3,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,2,h1]) ).
thf(0,theorem,
! [X1: ( $o > $o > $o ) > $o] :
( ( X1
@ ^ [X2: $o,X3: $o] :
~ ( X2
=> ~ X3 ) )
=> ( X1
@ ^ [X2: $o,X3: $o] :
~ ( X2
=> ~ X3 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO024^1 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n023.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 : Sat Jul 9 07:01:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % SZS status Theorem
% 0.14/0.35 % Mode: mode213
% 0.14/0.35 % Inferences: 0
% 0.14/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------