TSTP Solution File: SET622^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SET622^5 : 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 : n029.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 04:54:33 EDT 2022
% Result : Theorem 0.20s 0.36s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_eigen__2,type,
eigen__2: a > $o ).
thf(ty_eigen__1,type,
eigen__1: a > $o ).
thf(ty_eigen__0,type,
eigen__0: a > $o ).
thf(ty_eigen__3,type,
eigen__3: a ).
thf(sP1,plain,
( sP1
<=> ( eigen__2 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__1 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( eigen__0 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cBOOL_PROP_98_pme,conjecture,
! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
~ ( ( X1 @ X4 )
=> ( ( ( X2 @ X4 )
=> ( X3 @ X4 ) )
=> ~ ( ( X3 @ X4 )
=> ( X2 @ X4 ) ) ) ) )
= ( ^ [X4: a] :
( ( ( X1 @ X4 )
=> ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ~ ( ~ ( ( X1 @ X4 )
=> ~ ( X2 @ X4 ) )
=> ~ ( X3 @ X4 ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
~ ( ( X1 @ X4 )
=> ( ( ( X2 @ X4 )
=> ( X3 @ X4 ) )
=> ~ ( ( X3 @ X4 )
=> ( X2 @ X4 ) ) ) ) )
= ( ^ [X4: a] :
( ( ( X1 @ X4 )
=> ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ~ ( ~ ( ( X1 @ X4 )
=> ~ ( X2 @ X4 ) )
=> ~ ( X3 @ X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_98_pme]) ).
thf(h1,assumption,
~ ! [X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
~ ( ( eigen__0 @ X3 )
=> ( ( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ~ ( ( X2 @ X3 )
=> ( X1 @ X3 ) ) ) ) )
= ( ^ [X3: a] :
( ( ( eigen__0 @ X3 )
=> ( ~ ( X1 @ X3 )
=> ( X2 @ X3 ) ) )
=> ~ ( ~ ( ( eigen__0 @ X3 )
=> ~ ( X1 @ X3 ) )
=> ~ ( X2 @ X3 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: a > $o] :
( ( ^ [X2: a] :
~ ( ( eigen__0 @ X2 )
=> ( ( ( eigen__1 @ X2 )
=> ( X1 @ X2 ) )
=> ~ ( ( X1 @ X2 )
=> ( eigen__1 @ X2 ) ) ) ) )
= ( ^ [X2: a] :
( ( ( eigen__0 @ X2 )
=> ( ~ ( eigen__1 @ X2 )
=> ( X1 @ X2 ) ) )
=> ~ ( ~ ( ( eigen__0 @ X2 )
=> ~ ( eigen__1 @ X2 ) )
=> ~ ( X1 @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
( ^ [X1: a] :
~ ( ( eigen__0 @ X1 )
=> ( ( ( eigen__1 @ X1 )
=> ( eigen__2 @ X1 ) )
=> ~ ( ( eigen__2 @ X1 )
=> ( eigen__1 @ X1 ) ) ) ) )
!= ( ^ [X1: a] :
( ( ( eigen__0 @ X1 )
=> ( ~ ( eigen__1 @ X1 )
=> ( eigen__2 @ X1 ) ) )
=> ~ ( ~ ( ( eigen__0 @ X1 )
=> ~ ( eigen__1 @ X1 ) )
=> ~ ( eigen__2 @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ ! [X1: a] :
( ( ~ ( ( eigen__0 @ X1 )
=> ( ( ( eigen__1 @ X1 )
=> ( eigen__2 @ X1 ) )
=> ~ ( ( eigen__2 @ X1 )
=> ( eigen__1 @ X1 ) ) ) ) )
= ( ( ( eigen__0 @ X1 )
=> ( ~ ( eigen__1 @ X1 )
=> ( eigen__2 @ X1 ) ) )
=> ~ ( ~ ( ( eigen__0 @ X1 )
=> ~ ( eigen__1 @ X1 ) )
=> ~ ( eigen__2 @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
( ~ ( sP3
=> ( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ) ) )
!= ( ( sP3
=> ( ~ sP2
=> sP1 ) )
=> ~ ( ~ ( sP3
=> ~ sP2 )
=> ~ sP1 ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( sP3
=> ( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
( ( sP3
=> ( ~ sP2
=> sP1 ) )
=> ~ ( ~ ( sP3
=> ~ sP2 )
=> ~ sP1 ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
( sP3
=> ( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ( sP3
=> ( ~ sP2
=> sP1 ) )
=> ~ ( ~ ( sP3
=> ~ sP2 )
=> ~ sP1 ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP3,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
( sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(h13,assumption,
( sP1
=> sP2 ),
introduced(assumption,[]) ).
thf(h14,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h15,assumption,
sP1,
introduced(assumption,[]) ).
thf(h16,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h17,assumption,
sP2,
introduced(assumption,[]) ).
thf(h18,assumption,
( sP3
=> ( ~ sP2
=> sP1 ) ),
introduced(assumption,[]) ).
thf(h19,assumption,
( ~ ( sP3
=> ~ sP2 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h20,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h21,assumption,
( ~ sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(h22,assumption,
( sP3
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h20,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h20,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(3,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h20,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,1,2,h20,h14]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h20,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(5,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,3,4,h22,h16]) ).
thf(6,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h17,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(7,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h17,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(8,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h17,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,6,7,h20,h14]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h17,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(10,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,8,9,h22,h16]) ).
thf(11,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h15,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h15,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(13,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h15,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,11,12,h20,h14]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h15,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(15,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,13,14,h22,h16]) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h15])],[h21,10,15,h17,h15]) ).
thf(17,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h18,h19,h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,5,16,h20,h21]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h7,17,h18,h19]) ).
thf(19,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h20,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(20,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h20,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(21,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h20,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,19,20,h20,h14]) ).
thf(22,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h20,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(23,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,21,22,h22,h16]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h17,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(25,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h17,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(26,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h17,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,24,25,h20,h14]) ).
thf(27,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h17,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(28,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,26,27,h22,h16]) ).
thf(29,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h15,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(30,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h15,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(31,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h15,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,29,30,h20,h14]) ).
thf(32,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h15,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(33,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,31,32,h22,h16]) ).
thf(34,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h15])],[h21,28,33,h17,h15]) ).
thf(35,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h18,h19,h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,23,34,h20,h21]) ).
thf(36,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h7,35,h18,h19]) ).
thf(37,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h16]),tab_imp(discharge,[h17])],[h13,18,36,h16,h17]) ).
thf(38,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h20,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(39,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h20,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(40,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h20,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,38,39,h20,h14]) ).
thf(41,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h20,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(42,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,40,41,h22,h16]) ).
thf(43,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h17,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(44,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h17,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(45,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h17,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,43,44,h20,h14]) ).
thf(46,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h17,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(47,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,45,46,h22,h16]) ).
thf(48,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h15,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(49,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h15,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(50,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h15,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,48,49,h20,h14]) ).
thf(51,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h15,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(52,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,50,51,h22,h16]) ).
thf(53,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h15])],[h21,47,52,h17,h15]) ).
thf(54,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h18,h19,h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,42,53,h20,h21]) ).
thf(55,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h7,54,h18,h19]) ).
thf(56,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h20,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(57,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h20,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(58,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h20,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,56,57,h20,h14]) ).
thf(59,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h20,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(60,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,58,59,h22,h16]) ).
thf(61,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h17,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(62,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h17,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(63,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h17,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,61,62,h20,h14]) ).
thf(64,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h17,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(65,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,63,64,h22,h16]) ).
thf(66,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h15,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(67,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h22,h15,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(68,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h15,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h22,66,67,h20,h14]) ).
thf(69,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h15,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(70,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h16])],[h19,68,69,h22,h16]) ).
thf(71,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h15])],[h21,65,70,h17,h15]) ).
thf(72,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h18,h19,h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,60,71,h20,h21]) ).
thf(73,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h7,72,h18,h19]) ).
thf(74,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h16]),tab_imp(discharge,[h17])],[h13,55,73,h16,h17]) ).
thf(75,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h12,37,74,h14,h15]) ).
thf(76,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h12,h13])],[h11,75,h12,h13]) ).
thf(77,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h6,76,h10,h11]) ).
thf(h23,assumption,
( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ),
introduced(assumption,[]) ).
thf(h24,assumption,
~ ( sP3
=> ( ~ sP2
=> sP1 ) ),
introduced(assumption,[]) ).
thf(h25,assumption,
~ ( ~ ( sP3
=> ~ sP2 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h26,assumption,
~ ( ~ sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(78,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h16,h10,h26,h24,h20,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(79,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h26,h24,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h14,h16])],[h26,78,h14,h16]) ).
thf(80,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h24,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h26])],[h24,79,h10,h26]) ).
thf(h27,assumption,
~ ( sP3
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(81,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h17,h27,h15,h25,h20,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(82,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h15,h25,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h17])],[h27,81,h10,h17]) ).
thf(83,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h25,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h27,h15])],[h25,82,h27,h15]) ).
thf(84,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h24]),tab_imp(discharge,[h25])],[h9,80,83,h24,h25]) ).
thf(h28,assumption,
~ ( sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(h29,assumption,
~ ( sP1
=> sP2 ),
introduced(assumption,[]) ).
thf(85,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h16,h10,h26,h24,h17,h16,h28,h23,h8,h9,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(86,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h26,h24,h17,h16,h28,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h14,h16])],[h26,85,h14,h16]) ).
thf(87,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h24,h17,h16,h28,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h26])],[h24,86,h10,h26]) ).
thf(88,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h17,h27,h15,h25,h17,h16,h28,h23,h8,h9,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(89,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h15,h25,h17,h16,h28,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h17])],[h27,88,h10,h17]) ).
thf(90,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h25,h17,h16,h28,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h27,h15])],[h25,89,h27,h15]) ).
thf(91,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h16,h28,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h24]),tab_imp(discharge,[h25])],[h9,87,90,h24,h25]) ).
thf(92,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h28,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h17,h16])],[h28,91,h17,h16]) ).
thf(93,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h16,h10,h26,h24,h15,h14,h29,h23,h8,h9,h5,h4,h3,h2,h1,h0])],[h15,h16]) ).
thf(94,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h26,h24,h15,h14,h29,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h14,h16])],[h26,93,h14,h16]) ).
thf(95,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h24,h15,h14,h29,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h26])],[h24,94,h10,h26]) ).
thf(96,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h17,h27,h15,h25,h15,h14,h29,h23,h8,h9,h5,h4,h3,h2,h1,h0])],[h17,h14]) ).
thf(97,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h15,h25,h15,h14,h29,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h17])],[h27,96,h10,h17]) ).
thf(98,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h25,h15,h14,h29,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h27,h15])],[h25,97,h27,h15]) ).
thf(99,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h14,h29,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h24]),tab_imp(discharge,[h25])],[h9,95,98,h24,h25]) ).
thf(100,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h29,h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h15,h14])],[h29,99,h15,h14]) ).
thf(101,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h28]),tab_imp(discharge,[h29])],[h23,92,100,h28,h29]) ).
thf(102,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h23])],[h8,84,101,h20,h23]) ).
thf(103,plain,
$false,
inference(tab_be,[status(thm),assumptions([h5,h4,h3,h2,h1,h0]),tab_be(discharge,[h6,h7]),tab_be(discharge,[h8,h9])],[h5,77,102,h6,h7,h8,h9]) ).
thf(104,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__3)],[h4,103,h5]) ).
thf(105,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h3,h2,h1,h0]),tab_fe(discharge,[h4])],[h3,104,h4]) ).
thf(106,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,105,h3]) ).
thf(107,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,106,h2]) ).
thf(108,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,107,h1]) ).
thf(0,theorem,
! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
~ ( ( X1 @ X4 )
=> ( ( ( X2 @ X4 )
=> ( X3 @ X4 ) )
=> ~ ( ( X3 @ X4 )
=> ( X2 @ X4 ) ) ) ) )
= ( ^ [X4: a] :
( ( ( X1 @ X4 )
=> ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ~ ( ~ ( ( X1 @ X4 )
=> ~ ( X2 @ X4 ) )
=> ~ ( X3 @ X4 ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[108,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET622^5 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n029.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 : Sat Jul 9 23:58:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.36 % SZS status Theorem
% 0.20/0.36 % Mode: mode213
% 0.20/0.36 % Inferences: 0
% 0.20/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------