TSTP Solution File: SEV286^5 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEV286^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n006.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 : 300s
% DateTime : Thu Aug 31 19:33:13 EDT 2023
% Result : Theorem 0.21s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_b,type,
b: $tType ).
thf(ty_a,type,
a: $tType ).
thf(ty_eigen__2,type,
eigen__2: a ).
thf(ty_eigen__0,type,
eigen__0: a > b ).
thf(ty_eigen__1,type,
eigen__1: a ).
thf(sP1,plain,
( sP1
<=> ( eigen__1 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( eigen__0 @ eigen__1 )
= ( eigen__0 @ eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cEC_eq_,conjecture,
! [X1: a > b,X2: a,X3: a] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
= ( X1 @ X3 ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: a > b,X2: a,X3: a] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
= ( X1 @ X3 ) ) ),
inference(assume_negation,[status(cth)],[cEC_eq_]) ).
thf(h1,assumption,
~ ! [X1: a,X2: a] :
( ( X1 = X2 )
=> ( ( eigen__0 @ X1 )
= ( eigen__0 @ X2 ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: a] :
( ( eigen__1 = X1 )
=> ( ( eigen__0 @ eigen__1 )
= ( eigen__0 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP1
=> sP2 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(1,plain,
( sP2
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h4,h5,h3,h2,h1,h0])],[1,h4,h5]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h2,h1,h0]),tab_negimp(discharge,[h4,h5])],[h3,2,h4,h5]) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,3,h3]) ).
thf(5,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,4,h2]) ).
thf(6,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,5,h1]) ).
thf(0,theorem,
! [X1: a > b,X2: a,X3: a] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
= ( X1 @ X3 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[6,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV286^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n006.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 : 300
% 0.14/0.34 % DateTime : Thu Aug 24 01:54:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.39 % SZS status Theorem
% 0.21/0.39 % Mode: cade22grackle2xfee4
% 0.21/0.39 % Steps: 2
% 0.21/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------