TSTP Solution File: SEU925^5 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEU925^5 : 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 : n008.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 17:37:54 EDT 2023
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(sP1,plain,
( sP1
<=> ( ( ^ [X1: $i] : ( eigen__0 = X1 ) )
= ( ^ [X1: $i] : ( eigen__1 = X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( eigen__0 = eigen__1 )
= ~ $false ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> $false ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
( ( eigen__0 = X1 )
= ( eigen__1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( eigen__0 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(cTHM7_TPS2_pme,conjecture,
! [X1: $i,X2: $i] :
( ( ( ^ [X3: $i] : ( X1 = X3 ) )
= ( ^ [X3: $i] : ( X2 = X3 ) ) )
=> ( X1 = X2 ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $i,X2: $i] :
( ( ( ^ [X3: $i] : ( X1 = X3 ) )
= ( ^ [X3: $i] : ( X2 = X3 ) ) )
=> ( X1 = X2 ) ),
inference(assume_negation,[status(cth)],[cTHM7_TPS2_pme]) ).
thf(h1,assumption,
~ ! [X1: $i] :
( ( ( (=) @ eigen__0 )
= ( (=) @ X1 ) )
=> ( eigen__0 = X1 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( ( ( (=) @ eigen__0 )
= ( (=) @ eigen__1 ) )
=> sP5 ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP2
| sP5
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP4
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
~ sP3,
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP1
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h3,h4,h2,h1,h0])],[1,2,3,4,h3,h4]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,5,h3,h4]) ).
thf(7,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,6,h2]) ).
thf(8,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,7,h1]) ).
thf(0,theorem,
! [X1: $i,X2: $i] :
( ( ( ^ [X3: $i] : ( X1 = X3 ) )
= ( ^ [X3: $i] : ( X2 = X3 ) ) )
=> ( X1 = X2 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[8,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU925^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.15/0.33 % Computer : n008.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Wed Aug 23 16:00:17 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.38 % SZS status Theorem
% 0.19/0.38 % Mode: cade22grackle2xfee4
% 0.19/0.38 % Steps: 11
% 0.19/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------