TSTP Solution File: SET601^3 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SET601^3 : TPTP v8.1.0. Released v3.6.0.
% 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 04:54:16 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__2,type,
eigen__2: $i > $o ).
thf(ty_eigen__1,type,
eigen__1: $i > $o ).
thf(ty_eigen__0,type,
eigen__0: $i > $o ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(sP1,plain,
( sP1
<=> ( eigen__0 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__2 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( eigen__1 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(def_in,definition,
( in
= ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ) ).
thf(def_is_a,definition,
( is_a
= ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ) ).
thf(def_emptyset,definition,
( emptyset
= ( ^ [X1: $i] : $false ) ) ).
thf(def_unord_pair,definition,
( unord_pair
= ( ^ [X1: $i,X2: $i,X3: $i] :
( ( X3 != X1 )
=> ( X3 = X2 ) ) ) ) ).
thf(def_singleton,definition,
( singleton
= ( ^ [X1: $i,X2: $i] : ( X2 = X1 ) ) ) ).
thf(def_union,definition,
( union
= ( ^ [X1: $i > $o,X2: $i > $o,X3: $i] :
( ~ ( X1 @ X3 )
=> ( X2 @ X3 ) ) ) ) ).
thf(def_excl_union,definition,
( excl_union
= ( ^ [X1: $i > $o,X2: $i > $o,X3: $i] :
( ( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ~ ( ~ ( X1 @ X3 )
=> ~ ( X2 @ X3 ) ) ) ) ) ).
thf(def_intersection,definition,
( intersection
= ( ^ [X1: $i > $o,X2: $i > $o,X3: $i] :
~ ( ( X1 @ X3 )
=> ~ ( X2 @ X3 ) ) ) ) ).
thf(def_setminus,definition,
( setminus
= ( ^ [X1: $i > $o,X2: $i > $o,X3: $i] :
~ ( ( X1 @ X3 )
=> ( X2 @ X3 ) ) ) ) ).
thf(def_complement,definition,
( complement
= ( ^ [X1: $i > $o,X2: $i] :
~ ( X1 @ X2 ) ) ) ).
thf(def_disjoint,definition,
( disjoint
= ( ^ [X1: $i > $o,X2: $i > $o] :
( ( intersection @ X1 @ X2 )
= emptyset ) ) ) ).
thf(def_subset,definition,
( subset
= ( ^ [X1: $i > $o,X2: $i > $o] :
! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) ) ) ) ).
thf(def_meets,definition,
( meets
= ( ^ [X1: $i > $o,X2: $i > $o] :
~ ! [X3: $i] :
( ( X1 @ X3 )
=> ~ ( X2 @ X3 ) ) ) ) ).
thf(def_misses,definition,
( misses
= ( ^ [X1: $i > $o,X2: $i > $o] :
! [X3: $i] :
( ( X1 @ X3 )
=> ~ ( X2 @ X3 ) ) ) ) ).
thf(thm,conjecture,
! [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ^ [X4: $i] :
( ~ ~ ( ( X1 @ X4 )
=> ~ ( X2 @ X4 ) )
=> ( ~ ~ ( ( X2 @ X4 )
=> ~ ( X3 @ X4 ) )
=> ~ ( ( X3 @ X4 )
=> ~ ( X1 @ X4 ) ) ) ) )
= ( ^ [X4: $i] :
~ ( ( ~ ( X1 @ X4 )
=> ( X2 @ X4 ) )
=> ~ ~ ( ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) )
=> ~ ( ~ ( X3 @ X4 )
=> ( X1 @ X4 ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ^ [X4: $i] :
( ( ( X1 @ X4 )
=> ~ ( X2 @ X4 ) )
=> ( ( ( X2 @ X4 )
=> ~ ( X3 @ X4 ) )
=> ~ ( ( X3 @ X4 )
=> ~ ( X1 @ X4 ) ) ) ) )
= ( ^ [X4: $i] :
~ ( ( ~ ( X1 @ X4 )
=> ( X2 @ X4 ) )
=> ( ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) )
=> ~ ( ~ ( X3 @ X4 )
=> ( X1 @ X4 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[thm]) ).
thf(h1,assumption,
~ ! [X1: $i > $o,X2: $i > $o] :
( ( ^ [X3: $i] :
( ( ( eigen__0 @ X3 )
=> ~ ( X1 @ X3 ) )
=> ( ( ( X1 @ X3 )
=> ~ ( X2 @ X3 ) )
=> ~ ( ( X2 @ X3 )
=> ~ ( eigen__0 @ X3 ) ) ) ) )
= ( ^ [X3: $i] :
~ ( ( ~ ( eigen__0 @ X3 )
=> ( X1 @ X3 ) )
=> ( ( ~ ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ~ ( ~ ( X2 @ X3 )
=> ( eigen__0 @ X3 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: $i > $o] :
( ( ^ [X2: $i] :
( ( ( eigen__0 @ X2 )
=> ~ ( eigen__1 @ X2 ) )
=> ( ( ( eigen__1 @ X2 )
=> ~ ( X1 @ X2 ) )
=> ~ ( ( X1 @ X2 )
=> ~ ( eigen__0 @ X2 ) ) ) ) )
= ( ^ [X2: $i] :
~ ( ( ~ ( eigen__0 @ X2 )
=> ( eigen__1 @ X2 ) )
=> ( ( ~ ( eigen__1 @ X2 )
=> ( X1 @ X2 ) )
=> ~ ( ~ ( X1 @ X2 )
=> ( eigen__0 @ X2 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
( ^ [X1: $i] :
( ( ( eigen__0 @ X1 )
=> ~ ( eigen__1 @ X1 ) )
=> ( ( ( eigen__1 @ X1 )
=> ~ ( eigen__2 @ X1 ) )
=> ~ ( ( eigen__2 @ X1 )
=> ~ ( eigen__0 @ X1 ) ) ) ) )
!= ( ^ [X1: $i] :
~ ( ( ~ ( eigen__0 @ X1 )
=> ( eigen__1 @ X1 ) )
=> ( ( ~ ( eigen__1 @ X1 )
=> ( eigen__2 @ X1 ) )
=> ~ ( ~ ( eigen__2 @ X1 )
=> ( eigen__0 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ ! [X1: $i] :
( ( ( ( eigen__0 @ X1 )
=> ~ ( eigen__1 @ X1 ) )
=> ( ( ( eigen__1 @ X1 )
=> ~ ( eigen__2 @ X1 ) )
=> ~ ( ( eigen__2 @ X1 )
=> ~ ( eigen__0 @ X1 ) ) ) )
= ( ~ ( ( ~ ( eigen__0 @ X1 )
=> ( eigen__1 @ X1 ) )
=> ( ( ~ ( eigen__1 @ X1 )
=> ( eigen__2 @ X1 ) )
=> ~ ( ~ ( eigen__2 @ X1 )
=> ( eigen__0 @ X1 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
( ( sP1
=> ~ sP3 )
=> ( ( sP3
=> ~ sP2 )
=> ~ ( sP2
=> ~ sP1 ) ) )
!= ( ~ ( ( ~ sP1
=> sP3 )
=> ( ( ~ sP3
=> sP2 )
=> ~ ( ~ sP2
=> sP1 ) ) ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
( ( sP1
=> ~ sP3 )
=> ( ( sP3
=> ~ sP2 )
=> ~ ( sP2
=> ~ sP1 ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ( ~ sP1
=> sP3 )
=> ( ( ~ sP3
=> sP2 )
=> ~ ( ~ sP2
=> sP1 ) ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ ( ( sP1
=> ~ sP3 )
=> ( ( sP3
=> ~ sP2 )
=> ~ ( sP2
=> ~ sP1 ) ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
( ( ~ sP1
=> sP3 )
=> ( ( ~ sP3
=> sP2 )
=> ~ ( ~ sP2
=> sP1 ) ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( sP1
=> ~ sP3 ),
introduced(assumption,[]) ).
thf(h11,assumption,
( ( sP3
=> ~ sP2 )
=> ~ ( sP2
=> ~ sP1 ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
sP1,
introduced(assumption,[]) ).
thf(h13,assumption,
sP3,
introduced(assumption,[]) ).
thf(h14,assumption,
~ ( ~ sP1
=> sP3 ),
introduced(assumption,[]) ).
thf(h15,assumption,
( ( ~ sP3
=> sP2 )
=> ~ ( ~ sP2
=> sP1 ) ),
introduced(assumption,[]) ).
thf(h16,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h17,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h17,h14,h12,h13,h10,h6,h7,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h12,h13,h10,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h16,h17])],[h14,1,h16,h17]) ).
thf(h18,assumption,
~ ( ~ sP3
=> sP2 ),
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( ~ sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(h20,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(3,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h20,h18,h15,h12,h13,h10,h6,h7,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h15,h12,h13,h10,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h17,h20])],[h18,3,h17,h20]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h16,h19,h15,h12,h13,h10,h6,h7,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h15,h12,h13,h10,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h20,h16])],[h19,5,h20,h16]) ).
thf(7,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h12,h13,h10,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h18]),tab_imp(discharge,[h19])],[h15,4,6,h18,h19]) ).
thf(8,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h7,2,7,h14,h15]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h12,h13])],[h10,8,h12,h13]) ).
thf(h21,assumption,
~ ( sP3
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h22,assumption,
~ ( sP2
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h23,assumption,
sP2,
introduced(assumption,[]) ).
thf(10,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h17,h14,h13,h23,h21,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h13,h23,h21,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h16,h17])],[h14,10,h16,h17]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h20,h18,h15,h13,h23,h21,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h15,h13,h23,h21,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h17,h20])],[h18,12,h17,h20]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h16,h19,h15,h13,h23,h21,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h15,h13,h23,h21,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h20,h16])],[h19,14,h20,h16]) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h13,h23,h21,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h18]),tab_imp(discharge,[h19])],[h15,13,15,h18,h19]) ).
thf(17,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h23,h21,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h7,11,16,h14,h15]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h13,h23])],[h21,17,h13,h23]) ).
thf(19,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h17,h14,h23,h12,h22,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h23,h12,h22,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h16,h17])],[h14,19,h16,h17]) ).
thf(21,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h20,h18,h15,h23,h12,h22,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h15,h23,h12,h22,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h17,h20])],[h18,21,h17,h20]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h20,h16,h19,h15,h23,h12,h22,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h15,h23,h12,h22,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h20,h16])],[h19,23,h20,h16]) ).
thf(25,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h23,h12,h22,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h18]),tab_imp(discharge,[h19])],[h15,22,24,h18,h19]) ).
thf(26,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h12,h22,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h7,20,25,h14,h15]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h22,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h12])],[h22,26,h23,h12]) ).
thf(28,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h22])],[h11,18,27,h21,h22]) ).
thf(29,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h6,9,28,h10,h11]) ).
thf(h24,assumption,
( sP1
=> ~ sP3 ),
introduced(assumption,[]) ).
thf(h25,assumption,
~ ( ( sP3
=> ~ sP2 )
=> ~ ( sP2
=> ~ sP1 ) ),
introduced(assumption,[]) ).
thf(h26,assumption,
( sP3
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h27,assumption,
( sP2
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h28,assumption,
( ~ sP1
=> sP3 ),
introduced(assumption,[]) ).
thf(h29,assumption,
~ ( ( ~ sP3
=> sP2 )
=> ~ ( ~ sP2
=> sP1 ) ),
introduced(assumption,[]) ).
thf(h30,assumption,
( ~ sP3
=> sP2 ),
introduced(assumption,[]) ).
thf(h31,assumption,
( ~ sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(30,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h12,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(31,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h12,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(32,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h12,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,30,31,h23,h12]) ).
thf(33,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h12,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(34,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h12,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(35,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h12,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,33,34,h23,h12]) ).
thf(36,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h12,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,32,35,h13,h23]) ).
thf(37,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,36,h30,h31]) ).
thf(38,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h13,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(39,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h13,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(40,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h13,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,38,39,h23,h12]) ).
thf(41,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h13,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(42,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h13,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(43,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h13,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,41,42,h23,h12]) ).
thf(44,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h13,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,40,43,h13,h23]) ).
thf(45,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,44,h30,h31]) ).
thf(46,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h28,37,45,h12,h13]) ).
thf(47,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h9,46,h28,h29]) ).
thf(48,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h12,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(49,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h12,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(50,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h12,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,48,49,h23,h12]) ).
thf(51,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h12,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(52,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h12,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(53,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h12,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,51,52,h23,h12]) ).
thf(54,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h12,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,50,53,h13,h23]) ).
thf(55,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,54,h30,h31]) ).
thf(56,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h13,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(57,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h13,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(58,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h13,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,56,57,h23,h12]) ).
thf(59,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h13,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(60,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h13,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(61,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h13,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,59,60,h23,h12]) ).
thf(62,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h13,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,58,61,h13,h23]) ).
thf(63,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,62,h30,h31]) ).
thf(64,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h28,55,63,h12,h13]) ).
thf(65,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h9,64,h28,h29]) ).
thf(66,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h16])],[h27,47,65,h20,h16]) ).
thf(67,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h12,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(68,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h12,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(69,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h12,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,67,68,h23,h12]) ).
thf(70,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h12,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(71,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h12,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(72,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h12,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,70,71,h23,h12]) ).
thf(73,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h12,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,69,72,h13,h23]) ).
thf(74,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,73,h30,h31]) ).
thf(75,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h13,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(76,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h13,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(77,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h13,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,75,76,h23,h12]) ).
thf(78,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h13,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(79,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h13,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(80,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h13,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,78,79,h23,h12]) ).
thf(81,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h13,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,77,80,h13,h23]) ).
thf(82,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,81,h30,h31]) ).
thf(83,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h28,74,82,h12,h13]) ).
thf(84,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h9,83,h28,h29]) ).
thf(85,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h12,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(86,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h12,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(87,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h12,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,85,86,h23,h12]) ).
thf(88,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h12,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(89,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h12,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(90,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h12,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,88,89,h23,h12]) ).
thf(91,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h12,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,87,90,h13,h23]) ).
thf(92,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,91,h30,h31]) ).
thf(93,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h13,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(94,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h13,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(95,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h13,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,93,94,h23,h12]) ).
thf(96,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h13,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(97,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h13,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(98,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h13,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,96,97,h23,h12]) ).
thf(99,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h13,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,95,98,h13,h23]) ).
thf(100,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,99,h30,h31]) ).
thf(101,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h28,92,100,h12,h13]) ).
thf(102,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h9,101,h28,h29]) ).
thf(103,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h16])],[h27,84,102,h20,h16]) ).
thf(104,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h26,h27,h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h20])],[h26,66,103,h17,h20]) ).
thf(105,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h26,h27])],[h25,104,h26,h27]) ).
thf(106,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h12,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(107,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h12,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(108,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h12,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,106,107,h23,h12]) ).
thf(109,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h12,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(110,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h12,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(111,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h12,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,109,110,h23,h12]) ).
thf(112,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h12,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,108,111,h13,h23]) ).
thf(113,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,112,h30,h31]) ).
thf(114,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h13,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(115,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h13,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(116,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h13,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,114,115,h23,h12]) ).
thf(117,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h13,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(118,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h13,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(119,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h13,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,117,118,h23,h12]) ).
thf(120,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h13,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,116,119,h13,h23]) ).
thf(121,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,120,h30,h31]) ).
thf(122,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h28,113,121,h12,h13]) ).
thf(123,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h9,122,h28,h29]) ).
thf(124,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h12,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(125,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h12,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(126,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h12,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,124,125,h23,h12]) ).
thf(127,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h12,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(128,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h12,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(129,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h12,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,127,128,h23,h12]) ).
thf(130,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h12,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,126,129,h13,h23]) ).
thf(131,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,130,h30,h31]) ).
thf(132,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h13,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(133,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h13,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(134,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h13,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,132,133,h23,h12]) ).
thf(135,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h13,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(136,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h13,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(137,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h13,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,135,136,h23,h12]) ).
thf(138,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h13,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,134,137,h13,h23]) ).
thf(139,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,138,h30,h31]) ).
thf(140,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h28,131,139,h12,h13]) ).
thf(141,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h9,140,h28,h29]) ).
thf(142,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h16])],[h27,123,141,h20,h16]) ).
thf(143,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h12,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(144,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h12,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(145,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h12,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,143,144,h23,h12]) ).
thf(146,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h12,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(147,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h12,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(148,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h12,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,146,147,h23,h12]) ).
thf(149,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h12,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,145,148,h13,h23]) ).
thf(150,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,149,h30,h31]) ).
thf(151,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h13,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(152,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h13,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h13,h17]) ).
thf(153,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h13,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,151,152,h23,h12]) ).
thf(154,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h13,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(155,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h13,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(156,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h13,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,154,155,h23,h12]) ).
thf(157,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h13,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,153,156,h13,h23]) ).
thf(158,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,157,h30,h31]) ).
thf(159,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h28,150,158,h12,h13]) ).
thf(160,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h9,159,h28,h29]) ).
thf(161,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h12,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(162,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h12,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(163,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h12,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,161,162,h23,h12]) ).
thf(164,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h12,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(165,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h12,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(166,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h12,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,164,165,h23,h12]) ).
thf(167,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h12,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,163,166,h13,h23]) ).
thf(168,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,167,h30,h31]) ).
thf(169,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h13,h30,h31,h13,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(170,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h30,h31,h13,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(171,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h30,h31,h13,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,169,170,h23,h12]) ).
thf(172,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h23,h30,h31,h13,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h23,h20]) ).
thf(173,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h23,h30,h31,h13,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h16]) ).
thf(174,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h30,h31,h13,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h12])],[h31,172,173,h23,h12]) ).
thf(175,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h31,h13,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h23])],[h30,171,174,h13,h23]) ).
thf(176,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,175,h30,h31]) ).
thf(177,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h28,h29,h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h28,168,176,h12,h13]) ).
thf(178,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h9,177,h28,h29]) ).
thf(179,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h16])],[h27,160,178,h20,h16]) ).
thf(180,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h26,h27,h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h20])],[h26,142,179,h17,h20]) ).
thf(181,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h26,h27])],[h25,180,h26,h27]) ).
thf(182,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h24,h25,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h16]),tab_imp(discharge,[h17])],[h24,105,181,h16,h17]) ).
thf(183,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h24,h25])],[h8,182,h24,h25]) ).
thf(184,plain,
$false,
inference(tab_be,[status(thm),assumptions([h5,h4,h3,h2,h1,h0]),tab_be(discharge,[h6,h7]),tab_be(discharge,[h8,h9])],[h5,29,183,h6,h7,h8,h9]) ).
thf(185,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__3)],[h4,184,h5]) ).
thf(186,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h3,h2,h1,h0]),tab_fe(discharge,[h4])],[h3,185,h4]) ).
thf(187,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,186,h3]) ).
thf(188,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,187,h2]) ).
thf(189,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,188,h1]) ).
thf(0,theorem,
! [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ^ [X4: $i] :
( ~ ~ ( ( X1 @ X4 )
=> ~ ( X2 @ X4 ) )
=> ( ~ ~ ( ( X2 @ X4 )
=> ~ ( X3 @ X4 ) )
=> ~ ( ( X3 @ X4 )
=> ~ ( X1 @ X4 ) ) ) ) )
= ( ^ [X4: $i] :
~ ( ( ~ ( X1 @ X4 )
=> ( X2 @ X4 ) )
=> ~ ~ ( ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) )
=> ~ ( ~ ( X3 @ X4 )
=> ( X1 @ X4 ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[189,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET601^3 : TPTP v8.1.0. Released v3.6.0.
% 0.06/0.12 % 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 : Sun Jul 10 04:48:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % SZS status Theorem
% 0.12/0.35 % Mode: mode213
% 0.12/0.35 % Inferences: 0
% 0.12/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------