TSTP Solution File: SEV387^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV387^5 : 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 : n028.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 18:06:09 EDT 2022
% Result : Theorem 0.18s 0.35s
% Output : Proof 0.18s
% 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(cGAZING_THM44_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 ) )
=> ~ ( ( X1 @ X4 )
=> ~ ( X3 @ X4 ) ) )
=> ~ ( ~ ( ( X1 @ X4 )
=> ~ ( X3 @ X4 ) )
=> ~ ( ( X1 @ X4 )
=> ~ ( X2 @ 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 ) )
=> ~ ( ( X1 @ X4 )
=> ~ ( X3 @ X4 ) ) )
=> ~ ( ~ ( ( X1 @ X4 )
=> ~ ( X3 @ X4 ) )
=> ~ ( ( X1 @ X4 )
=> ~ ( X2 @ X4 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cGAZING_THM44_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 ) )
=> ~ ( ( eigen__0 @ X3 )
=> ~ ( X2 @ X3 ) ) )
=> ~ ( ~ ( ( eigen__0 @ X3 )
=> ~ ( X2 @ X3 ) )
=> ~ ( ( eigen__0 @ X3 )
=> ~ ( X1 @ 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 ) )
=> ~ ( ( eigen__0 @ X2 )
=> ~ ( X1 @ X2 ) ) )
=> ~ ( ~ ( ( eigen__0 @ X2 )
=> ~ ( X1 @ X2 ) )
=> ~ ( ( eigen__0 @ X2 )
=> ~ ( eigen__1 @ 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__0 @ X1 )
=> ~ ( eigen__2 @ X1 ) ) )
=> ~ ( ~ ( ( eigen__0 @ X1 )
=> ~ ( eigen__2 @ X1 ) )
=> ~ ( ( eigen__0 @ X1 )
=> ~ ( eigen__1 @ 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__0 @ X1 )
=> ~ ( eigen__2 @ X1 ) ) )
=> ~ ( ~ ( ( eigen__0 @ X1 )
=> ~ ( eigen__2 @ X1 ) )
=> ~ ( ( eigen__0 @ X1 )
=> ~ ( eigen__1 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
( ~ ( sP3
=> ~ ( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ) ) )
!= ( ( ~ ( sP3
=> ~ sP2 )
=> ~ ( sP3
=> ~ sP1 ) )
=> ~ ( ~ ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( sP3
=> ~ ( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
( ( ~ ( sP3
=> ~ sP2 )
=> ~ ( sP3
=> ~ sP1 ) )
=> ~ ( ~ ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
( sP3
=> ~ ( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ( ~ ( sP3
=> ~ sP2 )
=> ~ ( sP3
=> ~ sP1 ) )
=> ~ ( ~ ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ) ),
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,
( ~ ( sP3
=> ~ sP2 )
=> ~ ( sP3
=> ~ sP1 ) ),
introduced(assumption,[]) ).
thf(h17,assumption,
( ~ ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
( sP3
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( sP3
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h20,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h21,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h22,assumption,
( sP3
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h23,assumption,
~ ( sP3
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h20,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h22,h20,h18,h16,h17,h14,h15,h12,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,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,1,2,h20,h15]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h14,h23,h20,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h20,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,4,h10,h14]) ).
thf(6,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h23])],[h17,3,5,h22,h23]) ).
thf(7,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h21,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h22,h21,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(9,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h21,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,7,8,h20,h15]) ).
thf(10,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h14,h23,h21,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h21,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,10,h10,h14]) ).
thf(12,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h23])],[h17,9,11,h22,h23]) ).
thf(13,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h18,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,6,12,h20,h21]) ).
thf(h24,assumption,
sP1,
introduced(assumption,[]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h10,h24,h19,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(15,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h22,h10,h24,h19,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h10,h24,h19,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,14,15,h20,h15]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h14,h23,h10,h24,h19,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h10,h24,h19,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,17,h10,h14]) ).
thf(19,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h24,h19,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h23])],[h17,16,18,h22,h23]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h24])],[h19,19,h10,h24]) ).
thf(21,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h16,h17,h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h18]),tab_imp(discharge,[h19])],[h16,13,20,h18,h19]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h15,h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h16,h17])],[h7,21,h16,h17]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h14,h15])],[h12,22,h14,h15]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h20,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(25,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h22,h20,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(26,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h20,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,24,25,h20,h15]) ).
thf(27,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h14,h23,h20,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h20,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,27,h10,h14]) ).
thf(29,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h23])],[h17,26,28,h22,h23]) ).
thf(30,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h21,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(31,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h22,h21,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(32,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h21,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,30,31,h20,h15]) ).
thf(33,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h14,h23,h21,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(34,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h21,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,33,h10,h14]) ).
thf(35,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h23])],[h17,32,34,h22,h23]) ).
thf(36,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h18,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,29,35,h20,h21]) ).
thf(37,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h22,h10,h24,h19,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(38,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h22,h10,h24,h19,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(39,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h22,h10,h24,h19,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,37,38,h20,h15]) ).
thf(40,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h14,h23,h10,h24,h19,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(41,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h10,h24,h19,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,40,h10,h14]) ).
thf(42,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h24,h19,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h23])],[h17,39,41,h22,h23]) ).
thf(43,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h24])],[h19,42,h10,h24]) ).
thf(44,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h16,h17,h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h18]),tab_imp(discharge,[h19])],[h16,36,43,h18,h19]) ).
thf(45,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h24,h21,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h16,h17])],[h7,44,h16,h17]) ).
thf(46,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h24,h21])],[h13,45,h24,h21]) ).
thf(47,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h11,23,46,h12,h13]) ).
thf(48,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h6,47,h10,h11]) ).
thf(h25,assumption,
~ ( ( sP2
=> sP1 )
=> ~ ( sP1
=> sP2 ) ),
introduced(assumption,[]) ).
thf(h26,assumption,
~ ( ~ ( sP3
=> ~ sP2 )
=> ~ ( sP3
=> ~ sP1 ) ),
introduced(assumption,[]) ).
thf(h27,assumption,
~ ( ~ ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ),
introduced(assumption,[]) ).
thf(49,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h14,h23,h22,h26,h20,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(50,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h10,h14,h23,h22,h26,h20,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(51,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h14,h23,h22,h26,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,49,50,h20,h15]) ).
thf(52,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h22,h26,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,51,h10,h14]) ).
thf(53,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h26,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h22])],[h26,52,h23,h22]) ).
thf(54,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h24,h19,h18,h27,h20,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(55,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h21,h10,h24,h19,h18,h27,h20,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(56,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h24,h19,h18,h27,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,54,55,h20,h21]) ).
thf(57,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h18,h27,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h24])],[h19,56,h10,h24]) ).
thf(58,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h19,h18])],[h27,57,h19,h18]) ).
thf(59,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h9,53,58,h26,h27]) ).
thf(h28,assumption,
( sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(h29,assumption,
( sP1
=> sP2 ),
introduced(assumption,[]) ).
thf(60,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h14,h23,h22,h26,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(61,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h10,h14,h23,h22,h26,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(62,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h14,h23,h22,h26,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,60,61,h20,h15]) ).
thf(63,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h22,h26,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,62,h10,h14]) ).
thf(64,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h26,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h22])],[h26,63,h23,h22]) ).
thf(65,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h24,h19,h18,h27,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(66,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h21,h10,h24,h19,h18,h27,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(67,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h24,h19,h18,h27,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,65,66,h20,h21]) ).
thf(68,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h18,h27,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h24])],[h19,67,h10,h24]) ).
thf(69,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h19,h18])],[h27,68,h19,h18]) ).
thf(70,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h9,64,69,h26,h27]) ).
thf(71,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h14,h23,h22,h26,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(72,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h10,h14,h23,h22,h26,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(73,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h14,h23,h22,h26,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,71,72,h20,h15]) ).
thf(74,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h22,h26,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,73,h10,h14]) ).
thf(75,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h26,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h22])],[h26,74,h23,h22]) ).
thf(76,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h24,h19,h18,h27,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(77,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h21,h10,h24,h19,h18,h27,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(78,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h24,h19,h18,h27,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,76,77,h20,h21]) ).
thf(79,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h18,h27,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h24])],[h19,78,h10,h24]) ).
thf(80,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h19,h18])],[h27,79,h19,h18]) ).
thf(81,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h9,75,80,h26,h27]) ).
thf(82,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h14])],[h29,70,81,h15,h14]) ).
thf(83,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h14,h23,h22,h26,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(84,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h10,h14,h23,h22,h26,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(85,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h14,h23,h22,h26,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,83,84,h20,h15]) ).
thf(86,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h22,h26,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,85,h10,h14]) ).
thf(87,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h26,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h22])],[h26,86,h23,h22]) ).
thf(88,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h24,h19,h18,h27,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(89,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h21,h10,h24,h19,h18,h27,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(90,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h24,h19,h18,h27,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,88,89,h20,h21]) ).
thf(91,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h18,h27,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h24])],[h19,90,h10,h24]) ).
thf(92,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h19,h18])],[h27,91,h19,h18]) ).
thf(93,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h9,87,92,h26,h27]) ).
thf(94,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h14,h23,h22,h26,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(95,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h10,h14,h23,h22,h26,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h24,h15]) ).
thf(96,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h14,h23,h22,h26,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h15])],[h22,94,95,h20,h15]) ).
thf(97,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h22,h26,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h14])],[h23,96,h10,h14]) ).
thf(98,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h26,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h22])],[h26,97,h23,h22]) ).
thf(99,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h10,h24,h19,h18,h27,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h10,h20]) ).
thf(100,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h21,h10,h24,h19,h18,h27,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h14,h21]) ).
thf(101,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h24,h19,h18,h27,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,99,100,h20,h21]) ).
thf(102,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h18,h27,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h24])],[h19,101,h10,h24]) ).
thf(103,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h19,h18])],[h27,102,h19,h18]) ).
thf(104,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h9,98,103,h26,h27]) ).
thf(105,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h24,h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h14])],[h29,93,104,h15,h14]) ).
thf(106,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h24])],[h28,82,105,h21,h24]) ).
thf(107,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h25,106,h28,h29]) ).
thf(108,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h25])],[h8,59,107,h20,h25]) ).
thf(109,plain,
$false,
inference(tab_be,[status(thm),assumptions([h5,h4,h3,h2,h1,h0]),tab_be(discharge,[h6,h7]),tab_be(discharge,[h8,h9])],[h5,48,108,h6,h7,h8,h9]) ).
thf(110,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__3)],[h4,109,h5]) ).
thf(111,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h3,h2,h1,h0]),tab_fe(discharge,[h4])],[h3,110,h4]) ).
thf(112,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,111,h3]) ).
thf(113,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,112,h2]) ).
thf(114,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,113,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 ) )
=> ~ ( ( X1 @ X4 )
=> ~ ( X3 @ X4 ) ) )
=> ~ ( ~ ( ( X1 @ X4 )
=> ~ ( X3 @ X4 ) )
=> ~ ( ( X1 @ X4 )
=> ~ ( X2 @ X4 ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[114,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV387^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 28 06:29:26 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.35 % SZS status Theorem
% 0.18/0.35 % Mode: mode213
% 0.18/0.35 % Inferences: 0
% 0.18/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------