TSTP Solution File: SWW469^1 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SWW469^1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -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 : 300s
% DateTime : Fri Sep 1 00:44:58 EDT 2023
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_state,type,
state: $tType ).
thf(ty_eigen__2,type,
eigen__2: state ).
thf(ty_eigen__0,type,
eigen__0: state ).
thf(ty_eigen__1,type,
eigen__1: state ).
thf(ty_hoare_1821564147gleton,type,
hoare_1821564147gleton: $o ).
thf(sP1,plain,
( sP1
<=> hoare_1821564147gleton ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__2 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: state] : ( X1 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( eigen__1 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( eigen__0 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( eigen__1 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> $false ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(conj_1,conjecture,
! [X1: state] :
~ ! [X2: state] : ( X2 = X1 ) ).
thf(h0,negated_conjecture,
~ ! [X1: state] :
~ ! [X2: state] : ( X2 = X1 ),
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(h1,assumption,
sP3,
introduced(assumption,[]) ).
thf(h2,assumption,
sP1,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ! [X1: state,X2: state] : ( X1 = X2 ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
! [X1: state,X2: state] : ( X1 = X2 ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( !! @ ( (=) @ eigen__1 ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP4
| sP5
| ~ sP4
| sP7 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP2
| sP6
| ~ sP5
| sP7 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(3,plain,
~ sP7,
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP3
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP3
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h6,h2,h3,h1,h0])],[1,2,3,4,5,h1,h7]) ).
thf(7,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h2,h3,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__2)],[h6,6,h7]) ).
thf(8,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h3,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__1)],[h3,7,h6]) ).
thf(conj_0,axiom,
sP1 ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h4,h5,h1,h0])],[conj_0,h4]) ).
thf(fact_0_state__not__singleton__def,axiom,
( sP1
= ( ~ ! [X1: state,X2: state] : ( X1 = X2 ) ) ) ).
thf(10,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h1,h0]),tab_bq(discharge,[h2,h3]),tab_bq(discharge,[h4,h5])],[fact_0_state__not__singleton__def,8,9,h2,h3,h4,h5]) ).
thf(11,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,10,h1]) ).
thf(0,theorem,
! [X1: state] :
~ ! [X2: state] : ( X2 = X1 ),
inference(contra,[status(thm),contra(discharge,[h0])],[11,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW469^1 : TPTP v8.1.2. Released v5.3.0.
% 0.04/0.13 % Command : lash -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 : 300
% 0.12/0.34 % DateTime : Sun Aug 27 19:59:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.38 % SZS status Theorem
% 0.19/0.38 % Mode: cade22grackle2xfee4
% 0.19/0.38 % Steps: 25
% 0.19/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------