TSTP Solution File: SEV065^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV065^5 : 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 : n007.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 18:04:42 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_b,type,
b: $tType ).
thf(ty_eigen__2,type,
eigen__2: b > a > $o ).
thf(ty_eigen__1,type,
eigen__1: a ).
thf(ty_eigen__0,type,
eigen__0: b ).
thf(ty_eigen__4,type,
eigen__4: a ).
thf(ty_eigen__3,type,
eigen__3: b ).
thf(sP1,plain,
( sP1
<=> ( eigen__3 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: a] :
( ( eigen__4 = X1 )
=> ( X1 = eigen__4 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( eigen__1 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: a,X2: a] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: b] :
( ( eigen__3 = X1 )
=> ( X1 = eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( eigen__0 = eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( eigen__4 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( eigen__2 @ eigen__3 @ eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( sP7
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: b,X2: b] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( sP1
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( eigen__2 @ eigen__0 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(cTHM177_pme,conjecture,
! [X1: b,X2: a,X3: b > a > $o] :
( ( X3 @ X1 @ X2 )
=> ( ( ^ [X4: b,X5: a] :
( ( ( X3 @ X4 @ X5 )
=> ~ ( ( X4 = X1 )
=> ( X5 != X2 ) ) )
=> ~ ( ( X4 = X1 )
=> ( X5 != X2 ) ) ) )
= X3 ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: b,X2: a,X3: b > a > $o] :
( ( X3 @ X1 @ X2 )
=> ( ( ^ [X4: b,X5: a] :
( ( ( X3 @ X4 @ X5 )
=> ~ ( ( X4 = X1 )
=> ( X5 != X2 ) ) )
=> ~ ( ( X4 = X1 )
=> ( X5 != X2 ) ) ) )
= X3 ) ),
inference(assume_negation,[status(cth)],[cTHM177_pme]) ).
thf(h1,assumption,
~ ! [X1: a,X2: b > a > $o] :
( ( X2 @ eigen__0 @ X1 )
=> ( ( ^ [X3: b,X4: a] :
( ( ( X2 @ X3 @ X4 )
=> ~ ( ( X3 = eigen__0 )
=> ( X4 != X1 ) ) )
=> ~ ( ( X3 = eigen__0 )
=> ( X4 != X1 ) ) ) )
= X2 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: b > a > $o] :
( ( X1 @ eigen__0 @ eigen__1 )
=> ( ( ^ [X2: b,X3: a] :
( ( ( X1 @ X2 @ X3 )
=> ~ ( ( X2 = eigen__0 )
=> ( X3 != eigen__1 ) ) )
=> ~ ( ( X2 = eigen__0 )
=> ( X3 != eigen__1 ) ) ) )
= X1 ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP12
=> ( ( ^ [X1: b,X2: a] :
( ( ( eigen__2 @ X1 @ X2 )
=> ~ ( ( X1 = eigen__0 )
=> ( X2 != eigen__1 ) ) )
=> ~ ( ( X1 = eigen__0 )
=> ( X2 != eigen__1 ) ) ) )
= eigen__2 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP12,
introduced(assumption,[]) ).
thf(h5,assumption,
( ^ [X1: b,X2: a] :
( ( ( eigen__2 @ X1 @ X2 )
=> ~ ( ( X1 = eigen__0 )
=> ( X2 != eigen__1 ) ) )
=> ~ ( ( X1 = eigen__0 )
=> ( X2 != eigen__1 ) ) ) )
!= eigen__2,
introduced(assumption,[]) ).
thf(h6,assumption,
~ ! [X1: b] :
( ( ^ [X2: a] :
( ( ( eigen__2 @ X1 @ X2 )
=> ~ ( ( X1 = eigen__0 )
=> ( X2 != eigen__1 ) ) )
=> ~ ( ( X1 = eigen__0 )
=> ( X2 != eigen__1 ) ) ) )
= ( eigen__2 @ X1 ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
( ^ [X1: a] :
( ( ( eigen__2 @ eigen__3 @ X1 )
=> ~ ( sP1
=> ( X1 != eigen__1 ) ) )
=> ~ ( sP1
=> ( X1 != eigen__1 ) ) ) )
!= ( eigen__2 @ eigen__3 ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ ! [X1: a] :
( ( ( ( eigen__2 @ eigen__3 @ X1 )
=> ~ ( sP1
=> ( X1 != eigen__1 ) ) )
=> ~ ( sP1
=> ( X1 != eigen__1 ) ) )
= ( eigen__2 @ eigen__3 @ X1 ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
( ( sP8
=> ~ ( sP1
=> ~ sP7 ) )
=> ~ ( sP1
=> ~ sP7 ) )
!= sP8,
introduced(assumption,[]) ).
thf(h10,assumption,
( ( sP8
=> ~ ( sP1
=> ~ sP7 ) )
=> ~ ( sP1
=> ~ sP7 ) ),
introduced(assumption,[]) ).
thf(h11,assumption,
sP8,
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( ( sP8
=> ~ ( sP1
=> ~ sP7 ) )
=> ~ ( sP1
=> ~ sP7 ) ),
introduced(assumption,[]) ).
thf(h13,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h14,assumption,
~ ( sP8
=> ~ ( sP1
=> ~ sP7 ) ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( sP1
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h16,assumption,
( sP1
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h17,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h18,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h11,h16,h14,h10,h11,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0])],[h11,h11]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h18,h11,h16,h14,h10,h11,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0])],[h11,h11]) ).
thf(3,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h11,h16,h14,h10,h11,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h18])],[h16,1,2,h17,h18]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h10,h11,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_negimp(discharge,[h11,h16])],[h14,3,h11,h16]) ).
thf(h19,assumption,
sP1,
introduced(assumption,[]) ).
thf(h20,assumption,
sP7,
introduced(assumption,[]) ).
thf(5,plain,
( ~ sP12
| sP8
| ~ sP6
| ~ sP3 ),
inference(mating_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP11
| ~ sP1
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP5
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP10
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
sP10,
inference(eq_sym,[status(thm)],]) ).
thf(10,plain,
( ~ sP9
| ~ sP7
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP2
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP4
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
sP4,
inference(eq_sym,[status(thm)],]) ).
thf(14,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h19,h20,h15,h10,h11,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0])],[5,6,7,8,9,10,11,12,13,h4,h19,h20,h11]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h10,h11,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_negimp(discharge,[h19,h20])],[h15,14,h19,h20]) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h11,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h10,4,15,h14,h15]) ).
thf(h21,assumption,
( sP8
=> ~ ( sP1
=> ~ sP7 ) ),
introduced(assumption,[]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h13,h21,h16,h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0])],[h13,h13]) ).
thf(18,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h18,h13,h21,h16,h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0])],[h13,h13]) ).
thf(19,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h21,h16,h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h18])],[h16,17,18,h17,h18]) ).
thf(20,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h19,h20,h15,h21,h16,h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0])],[h19,h17]) ).
thf(21,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h18,h19,h20,h15,h21,h16,h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0])],[h20,h18]) ).
thf(22,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h19,h20,h15,h21,h16,h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h18])],[h16,20,21,h17,h18]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h21,h16,h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_negimp(discharge,[h19,h20])],[h15,22,h19,h20]) ).
thf(24,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h16,h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h15])],[h21,19,23,h13,h15]) ).
thf(25,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h13,h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_negimp(discharge,[h21,h16])],[h12,24,h21,h16]) ).
thf(26,plain,
$false,
inference(tab_be,[status(thm),assumptions([h9,h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h10,h11]),tab_be(discharge,[h12,h13])],[h9,16,25,h10,h11,h12,h13]) ).
thf(27,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h8,h7,h6,h4,h5,h3,h2,h1,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__4)],[h8,26,h9]) ).
thf(28,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h7,h6,h4,h5,h3,h2,h1,h0]),tab_fe(discharge,[h8])],[h7,27,h8]) ).
thf(29,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h4,h5,h3,h2,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__3)],[h6,28,h7]) ).
thf(30,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h4,h5,h3,h2,h1,h0]),tab_fe(discharge,[h6])],[h5,29,h6]) ).
thf(31,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h2,h1,h0]),tab_negimp(discharge,[h4,h5])],[h3,30,h4,h5]) ).
thf(32,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,31,h3]) ).
thf(33,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,32,h2]) ).
thf(34,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,33,h1]) ).
thf(0,theorem,
! [X1: b,X2: a,X3: b > a > $o] :
( ( X3 @ X1 @ X2 )
=> ( ( ^ [X4: b,X5: a] :
( ( ( X3 @ X4 @ X5 )
=> ~ ( ( X4 = X1 )
=> ( X5 != X2 ) ) )
=> ~ ( ( X4 = X1 )
=> ( X5 != X2 ) ) ) )
= X3 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[34,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV065^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 15:02:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % Mode: mode213
% 0.13/0.36 % Inferences: 5
% 0.13/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------