TSTP Solution File: SYO091^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO091^5 : 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 : n016.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 : Thu Jul 21 19:30:15 EDT 2022
% Result : Theorem 0.19s 0.34s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__2,type,
eigen__2: $o ).
thf(ty_eigen__1,type,
eigen__1: $o ).
thf(ty_eigen__0,type,
eigen__0: $o ).
thf(sP1,plain,
( sP1
<=> eigen__1 ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> eigen__0 ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> eigen__2 ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cTHM50Q,conjecture,
! [X1: $o,X2: $o,X3: $o] :
( ( ( X1 = X2 )
= X3 )
= ( X1
= ( X2 = X3 ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $o,X2: $o,X3: $o] :
( ( ( X1 = X2 )
= X3 )
= ( X1
= ( X2 = X3 ) ) ),
inference(assume_negation,[status(cth)],[cTHM50Q]) ).
thf(h1,assumption,
~ ! [X1: $o,X2: $o] :
( ( ( sP2 = X1 )
= X2 )
= ( sP2
= ( X1 = X2 ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: $o] :
( ( ( sP2 = sP1 )
= X1 )
= ( sP2
= ( sP1 = X1 ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
( ( sP2 = sP1 )
= sP3 )
!= ( sP2
= ( sP1 = sP3 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
( ( sP2 = sP1 )
= sP3 ),
introduced(assumption,[]) ).
thf(h5,assumption,
( sP2
= ( sP1 = sP3 ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
( sP2 = sP1 )
!= sP3,
introduced(assumption,[]) ).
thf(h7,assumption,
sP2
!= ( sP1 = sP3 ),
introduced(assumption,[]) ).
thf(h8,assumption,
sP2 = sP1,
introduced(assumption,[]) ).
thf(h9,assumption,
sP3,
introduced(assumption,[]) ).
thf(h10,assumption,
sP2 != sP1,
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h12,assumption,
sP2,
introduced(assumption,[]) ).
thf(h13,assumption,
sP1,
introduced(assumption,[]) ).
thf(h14,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h15,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h16,assumption,
sP1 = sP3,
introduced(assumption,[]) ).
thf(h17,assumption,
sP1 != sP3,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h16,h12,h13,h8,h9,h4,h5,h3,h2,h1,h0])],[h9,h9]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h12,h16,h12,h13,h8,h9,h4,h5,h3,h2,h1,h0])],[h13,h15]) ).
thf(3,plain,
$false,
inference(tab_be,[status(thm),assumptions([h12,h16,h12,h13,h8,h9,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h13,h9]),tab_be(discharge,[h15,h11])],[h16,1,2,h13,h9,h15,h11]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h14,h17,h12,h13,h8,h9,h4,h5,h3,h2,h1,h0])],[h12,h14]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h14,h17,h12,h13,h8,h9,h4,h5,h3,h2,h1,h0])],[h9,h11]) ).
thf(6,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h14,h17,h12,h13,h8,h9,h4,h5,h3,h2,h1,h0]),tab_bq(discharge,[h13,h9]),tab_bq(discharge,[h15,h11])],[h17,4,5,h13,h9,h15,h11]) ).
thf(7,plain,
$false,
inference(tab_be,[status(thm),assumptions([h12,h13,h8,h9,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h12,h16]),tab_be(discharge,[h14,h17])],[h5,3,6,h12,h16,h14,h17]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h16,h14,h15,h8,h9,h4,h5,h3,h2,h1,h0])],[h9,h9]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h12,h16,h14,h15,h8,h9,h4,h5,h3,h2,h1,h0])],[h12,h14]) ).
thf(10,plain,
$false,
inference(tab_be,[status(thm),assumptions([h12,h16,h14,h15,h8,h9,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h13,h9]),tab_be(discharge,[h15,h11])],[h16,8,9,h13,h9,h15,h11]) ).
thf(11,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h14,h17,h14,h15,h8,h9,h4,h5,h3,h2,h1,h0])],[h13,h15]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h14,h17,h14,h15,h8,h9,h4,h5,h3,h2,h1,h0])],[h9,h11]) ).
thf(13,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h14,h17,h14,h15,h8,h9,h4,h5,h3,h2,h1,h0]),tab_bq(discharge,[h13,h9]),tab_bq(discharge,[h15,h11])],[h17,11,12,h13,h9,h15,h11]) ).
thf(14,plain,
$false,
inference(tab_be,[status(thm),assumptions([h14,h15,h8,h9,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h12,h16]),tab_be(discharge,[h14,h17])],[h5,10,13,h12,h16,h14,h17]) ).
thf(15,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h8,h9,h4,h5,h3,h2,h1,h0]),tab_bq(discharge,[h12,h13]),tab_bq(discharge,[h14,h15])],[h8,7,14,h12,h13,h14,h15]) ).
thf(16,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h16,h12,h13,h10,h11,h4,h5,h3,h2,h1,h0])],[h13,h13]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h12,h16,h12,h13,h10,h11,h4,h5,h3,h2,h1,h0])],[h11,h11]) ).
thf(18,plain,
$false,
inference(tab_be,[status(thm),assumptions([h12,h16,h12,h13,h10,h11,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h13,h9]),tab_be(discharge,[h15,h11])],[h16,16,17,h13,h9,h15,h11]) ).
thf(19,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h14,h17,h12,h13,h10,h11,h4,h5,h3,h2,h1,h0])],[h9,h11]) ).
thf(20,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h14,h17,h12,h13,h10,h11,h4,h5,h3,h2,h1,h0])],[h12,h14]) ).
thf(21,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h14,h17,h12,h13,h10,h11,h4,h5,h3,h2,h1,h0]),tab_bq(discharge,[h13,h9]),tab_bq(discharge,[h15,h11])],[h17,19,20,h13,h9,h15,h11]) ).
thf(22,plain,
$false,
inference(tab_be,[status(thm),assumptions([h12,h13,h10,h11,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h12,h16]),tab_be(discharge,[h14,h17])],[h5,18,21,h12,h16,h14,h17]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h16,h14,h15,h10,h11,h4,h5,h3,h2,h1,h0])],[h12,h14]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h12,h16,h14,h15,h10,h11,h4,h5,h3,h2,h1,h0])],[h11,h11]) ).
thf(25,plain,
$false,
inference(tab_be,[status(thm),assumptions([h12,h16,h14,h15,h10,h11,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h13,h9]),tab_be(discharge,[h15,h11])],[h16,23,24,h13,h9,h15,h11]) ).
thf(26,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h14,h17,h14,h15,h10,h11,h4,h5,h3,h2,h1,h0])],[h9,h11]) ).
thf(27,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h14,h17,h14,h15,h10,h11,h4,h5,h3,h2,h1,h0])],[h15,h15]) ).
thf(28,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h14,h17,h14,h15,h10,h11,h4,h5,h3,h2,h1,h0]),tab_bq(discharge,[h13,h9]),tab_bq(discharge,[h15,h11])],[h17,26,27,h13,h9,h15,h11]) ).
thf(29,plain,
$false,
inference(tab_be,[status(thm),assumptions([h14,h15,h10,h11,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h12,h16]),tab_be(discharge,[h14,h17])],[h5,25,28,h12,h16,h14,h17]) ).
thf(30,plain,
$false,
inference(tab_be,[status(thm),assumptions([h10,h11,h4,h5,h3,h2,h1,h0]),tab_be(discharge,[h12,h13]),tab_be(discharge,[h14,h15])],[h10,22,29,h12,h13,h14,h15]) ).
thf(31,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h4,h5,h3,h2,h1,h0]),tab_bq(discharge,[h8,h9]),tab_bq(discharge,[h10,h11])],[h4,15,30,h8,h9,h10,h11]) ).
thf(32,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h16,h12,h13,h8,h9,h6,h7,h3,h2,h1,h0])],[h9,h9]) ).
thf(33,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h12,h16,h12,h13,h8,h9,h6,h7,h3,h2,h1,h0])],[h13,h15]) ).
thf(34,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h12,h16,h12,h13,h8,h9,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h13,h9]),tab_bq(discharge,[h15,h11])],[h16,32,33,h13,h9,h15,h11]) ).
thf(35,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h14,h17,h12,h13,h8,h9,h6,h7,h3,h2,h1,h0])],[h12,h14]) ).
thf(36,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h14,h17,h12,h13,h8,h9,h6,h7,h3,h2,h1,h0])],[h11,h9]) ).
thf(37,plain,
$false,
inference(tab_be,[status(thm),assumptions([h14,h17,h12,h13,h8,h9,h6,h7,h3,h2,h1,h0]),tab_be(discharge,[h13,h9]),tab_be(discharge,[h15,h11])],[h17,35,36,h13,h9,h15,h11]) ).
thf(38,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h12,h13,h8,h9,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h12,h16]),tab_bq(discharge,[h14,h17])],[h7,34,37,h12,h16,h14,h17]) ).
thf(39,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h16,h14,h15,h8,h9,h6,h7,h3,h2,h1,h0])],[h9,h9]) ).
thf(40,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h12,h16,h14,h15,h8,h9,h6,h7,h3,h2,h1,h0])],[h12,h14]) ).
thf(41,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h12,h16,h14,h15,h8,h9,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h13,h9]),tab_bq(discharge,[h15,h11])],[h16,39,40,h13,h9,h15,h11]) ).
thf(42,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h14,h17,h14,h15,h8,h9,h6,h7,h3,h2,h1,h0])],[h13,h15]) ).
thf(43,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h14,h17,h14,h15,h8,h9,h6,h7,h3,h2,h1,h0])],[h11,h9]) ).
thf(44,plain,
$false,
inference(tab_be,[status(thm),assumptions([h14,h17,h14,h15,h8,h9,h6,h7,h3,h2,h1,h0]),tab_be(discharge,[h13,h9]),tab_be(discharge,[h15,h11])],[h17,42,43,h13,h9,h15,h11]) ).
thf(45,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h14,h15,h8,h9,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h12,h16]),tab_bq(discharge,[h14,h17])],[h7,41,44,h12,h16,h14,h17]) ).
thf(46,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h8,h9,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h12,h13]),tab_bq(discharge,[h14,h15])],[h8,38,45,h12,h13,h14,h15]) ).
thf(47,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h16,h12,h13,h10,h11,h6,h7,h3,h2,h1,h0])],[h13,h13]) ).
thf(48,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h12,h16,h12,h13,h10,h11,h6,h7,h3,h2,h1,h0])],[h11,h11]) ).
thf(49,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h12,h16,h12,h13,h10,h11,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h13,h9]),tab_bq(discharge,[h15,h11])],[h16,47,48,h13,h9,h15,h11]) ).
thf(50,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h14,h17,h12,h13,h10,h11,h6,h7,h3,h2,h1,h0])],[h11,h9]) ).
thf(51,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h14,h17,h12,h13,h10,h11,h6,h7,h3,h2,h1,h0])],[h12,h14]) ).
thf(52,plain,
$false,
inference(tab_be,[status(thm),assumptions([h14,h17,h12,h13,h10,h11,h6,h7,h3,h2,h1,h0]),tab_be(discharge,[h13,h9]),tab_be(discharge,[h15,h11])],[h17,50,51,h13,h9,h15,h11]) ).
thf(53,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h12,h13,h10,h11,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h12,h16]),tab_bq(discharge,[h14,h17])],[h7,49,52,h12,h16,h14,h17]) ).
thf(54,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h16,h14,h15,h10,h11,h6,h7,h3,h2,h1,h0])],[h12,h14]) ).
thf(55,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h12,h16,h14,h15,h10,h11,h6,h7,h3,h2,h1,h0])],[h11,h11]) ).
thf(56,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h12,h16,h14,h15,h10,h11,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h13,h9]),tab_bq(discharge,[h15,h11])],[h16,54,55,h13,h9,h15,h11]) ).
thf(57,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h14,h17,h14,h15,h10,h11,h6,h7,h3,h2,h1,h0])],[h11,h9]) ).
thf(58,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h11,h14,h17,h14,h15,h10,h11,h6,h7,h3,h2,h1,h0])],[h15,h15]) ).
thf(59,plain,
$false,
inference(tab_be,[status(thm),assumptions([h14,h17,h14,h15,h10,h11,h6,h7,h3,h2,h1,h0]),tab_be(discharge,[h13,h9]),tab_be(discharge,[h15,h11])],[h17,57,58,h13,h9,h15,h11]) ).
thf(60,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h14,h15,h10,h11,h6,h7,h3,h2,h1,h0]),tab_bq(discharge,[h12,h16]),tab_bq(discharge,[h14,h17])],[h7,56,59,h12,h16,h14,h17]) ).
thf(61,plain,
$false,
inference(tab_be,[status(thm),assumptions([h10,h11,h6,h7,h3,h2,h1,h0]),tab_be(discharge,[h12,h13]),tab_be(discharge,[h14,h15])],[h10,53,60,h12,h13,h14,h15]) ).
thf(62,plain,
$false,
inference(tab_be,[status(thm),assumptions([h6,h7,h3,h2,h1,h0]),tab_be(discharge,[h8,h9]),tab_be(discharge,[h10,h11])],[h6,46,61,h8,h9,h10,h11]) ).
thf(63,plain,
$false,
inference(tab_be,[status(thm),assumptions([h3,h2,h1,h0]),tab_be(discharge,[h4,h5]),tab_be(discharge,[h6,h7])],[h3,31,62,h4,h5,h6,h7]) ).
thf(64,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,63,h3]) ).
thf(65,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,64,h2]) ).
thf(66,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,65,h1]) ).
thf(0,theorem,
! [X1: $o,X2: $o,X3: $o] :
( ( ( X1 = X2 )
= X3 )
= ( X1
= ( X2 = X3 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[66,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO091^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.32 % Computer : n016.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Sat Jul 9 14:25:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.34 % SZS status Theorem
% 0.19/0.34 % Mode: mode213
% 0.19/0.34 % Inferences: 0
% 0.19/0.34 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------