TSTP Solution File: SEV013^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV013^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n005.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 : Tue Jul 19 18:04:27 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_eigen__2,type,
eigen__2: a ).
thf(ty_eigen__1,type,
eigen__1: a ).
thf(ty_eigen__0,type,
eigen__0: a ).
thf(ty_eigen__4,type,
eigen__4: a ).
thf(ty_eigen__5,type,
eigen__5: a ).
thf(ty_eigen__3,type,
eigen__3: a ).
thf(sP1,plain,
( sP1
<=> ( eigen__4 = eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__1 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( sP2
=> ( eigen__2 = eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( eigen__3 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: a] :
( ( eigen__1 = X1 )
=> ( X1 = eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( eigen__4 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP4
=> sP1 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: a,X2: a] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( eigen__2 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( eigen__3 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: a] :
( ( eigen__3 = X1 )
=> ( X1 = eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(cTHM511_pme,conjecture,
~ ( ~ ( ! [X1: a] : ( X1 = X1 )
=> ~ sP8 )
=> ~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( X1 = X2 )
=> ( X2 != X3 ) )
=> ( X1 = X3 ) ) ) ).
thf(h0,negated_conjecture,
( ~ ( ! [X1: a] : ( X1 = X1 )
=> ~ sP8 )
=> ~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( X1 = X2 )
=> ( X2 != X3 ) )
=> ( X1 = X3 ) ) ),
inference(assume_negation,[status(cth)],[cTHM511_pme]) ).
thf(h1,assumption,
( ! [X1: a] : ( X1 = X1 )
=> ~ sP8 ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( X1 = X2 )
=> ( X2 != X3 ) )
=> ( X1 = X3 ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ! [X1: a] : ( X1 = X1 ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h5,assumption,
eigen__0 != eigen__0,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_negrefl,[status(thm),assumptions([h5,h3,h1,h0])],[h5]) ).
thf(2,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[h3,1,h5]) ).
thf(h6,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h8,assumption,
sP2,
introduced(assumption,[]) ).
thf(h9,assumption,
~ sP9,
introduced(assumption,[]) ).
thf(3,plain,
( ~ sP3
| ~ sP2
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP5
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP8
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
sP8,
inference(eq_sym,[status(thm)],]) ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h9,h7,h6,h4,h1,h0])],[3,4,5,6,h8,h9]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h6,h4,h1,h0]),tab_negimp(discharge,[h8,h9])],[h7,7,h8,h9]) ).
thf(9,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h4,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__2)],[h6,8,h7]) ).
thf(10,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__1)],[h4,9,h6]) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,2,10,h3,h4]) ).
thf(h10,assumption,
~ ! [X1: a,X2: a] :
( ~ ( ( eigen__3 = X1 )
=> ( X1 != X2 ) )
=> ( eigen__3 = X2 ) ),
introduced(assumption,[]) ).
thf(h11,assumption,
~ ! [X1: a] :
( ~ ( sP4
=> ( eigen__4 != X1 ) )
=> ( eigen__3 = X1 ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( ~ ( sP4
=> ~ sP6 )
=> sP10 ),
introduced(assumption,[]) ).
thf(h13,assumption,
~ ( sP4
=> ~ sP6 ),
introduced(assumption,[]) ).
thf(h14,assumption,
~ sP10,
introduced(assumption,[]) ).
thf(h15,assumption,
sP4,
introduced(assumption,[]) ).
thf(h16,assumption,
sP6,
introduced(assumption,[]) ).
thf(12,plain,
( ~ sP6
| sP10
| ~ sP1
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP7
| ~ sP4
| sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP11
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP8
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
sP8,
inference(eq_sym,[status(thm)],]) ).
thf(17,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h15,h16,h13,h14,h12,h11,h10,h2,h0])],[12,13,14,15,16,h15,h16,h14]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h12,h11,h10,h2,h0]),tab_negimp(discharge,[h15,h16])],[h13,17,h15,h16]) ).
thf(19,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h11,h10,h2,h0]),tab_negimp(discharge,[h13,h14])],[h12,18,h13,h14]) ).
thf(20,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h11,h10,h2,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__5)],[h11,19,h12]) ).
thf(21,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h10,h2,h0]),tab_negall(discharge,[h11]),tab_negall(eigenvar,eigen__4)],[h10,20,h11]) ).
thf(22,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h0]),tab_negall(discharge,[h10]),tab_negall(eigenvar,eigen__3)],[h2,21,h10]) ).
thf(23,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[h0,11,22,h1,h2]) ).
thf(0,theorem,
~ ( ~ ( ! [X1: a] : ( X1 = X1 )
=> ~ sP8 )
=> ~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( X1 = X2 )
=> ( X2 != X3 ) )
=> ( X1 = X3 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[23,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV013^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 16:06:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % SZS status Theorem
% 0.12/0.36 % Mode: mode213
% 0.12/0.36 % Inferences: 5
% 0.12/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------