TSTP Solution File: SEV191^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV191^5 : 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 : n008.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 18:05:17 EDT 2022
% Result : Theorem 0.19s 0.59s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_eigen__6,type,
eigen__6: a ).
thf(ty_eigen__2,type,
eigen__2: a > a > a > $o ).
thf(ty_cP,type,
cP: a > a > a ).
thf(ty_eigen__7,type,
eigen__7: a ).
thf(ty_eigen__1,type,
eigen__1: a > a > a > $o ).
thf(ty_eigen__0,type,
eigen__0: a > a > a > $o ).
thf(ty_eigen__4,type,
eigen__4: a ).
thf(ty_eigen__5,type,
eigen__5: a ).
thf(ty_eigen__11,type,
eigen__11: a ).
thf(ty_eigen__3,type,
eigen__3: a ).
thf(ty_eigen__10,type,
eigen__10: a ).
thf(ty_eigen__8,type,
eigen__8: a ).
thf(ty_eigen__9,type,
eigen__9: a ).
thf(ty_c0,type,
c0: a ).
thf(sP1,plain,
( sP1
<=> ( eigen__4 = c0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ eigen__6 @ eigen__7 ) )
=> ( eigen__4
!= ( cP @ eigen__8 @ eigen__9 ) ) )
=> ( eigen__5
!= ( cP @ eigen__10 @ eigen__11 ) ) )
=> ~ ( eigen__2 @ eigen__6 @ eigen__8 @ eigen__10 ) )
=> ~ ( eigen__2 @ eigen__7 @ eigen__9 @ eigen__11 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( eigen__1 @ eigen__6 @ eigen__8 @ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( eigen__2 @ eigen__6 @ eigen__8 @ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: a,X2: a,X3: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ eigen__6 @ eigen__7 ) )
=> ( eigen__4
!= ( cP @ eigen__8 @ X1 ) ) )
=> ( eigen__5
!= ( cP @ X2 @ X3 ) ) )
=> ~ ( eigen__2 @ eigen__6 @ eigen__8 @ X2 ) )
=> ~ ( eigen__2 @ eigen__7 @ X1 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( eigen__3
= ( cP @ eigen__6 @ eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ ( ~ ( sP6
=> ( eigen__4
!= ( cP @ eigen__8 @ eigen__9 ) ) )
=> ( eigen__5
!= ( cP @ eigen__10 @ eigen__11 ) ) )
=> ~ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ~ ( sP6
=> ( eigen__4
!= ( cP @ eigen__8 @ eigen__9 ) ) )
=> ( eigen__5
!= ( cP @ eigen__10 @ eigen__11 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( eigen__3 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: a] :
( ~ ( ~ ( ~ ( sP6
=> ( eigen__4
!= ( cP @ eigen__8 @ eigen__9 ) ) )
=> ( eigen__5
!= ( cP @ eigen__10 @ X1 ) ) )
=> ~ sP4 )
=> ~ ( eigen__2 @ eigen__7 @ eigen__9 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: a,X2: a,X3: a,X4: a] :
( ~ ( ~ ( ~ ( sP6
=> ( eigen__4
!= ( cP @ X1 @ X2 ) ) )
=> ( eigen__5
!= ( cP @ X3 @ X4 ) ) )
=> ~ ( eigen__2 @ eigen__6 @ X1 @ X3 ) )
=> ~ ( eigen__2 @ eigen__7 @ X2 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: a] :
( ( eigen__1 @ eigen__7 @ eigen__9 @ X1 )
=> ( eigen__2 @ eigen__7 @ eigen__9 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: a,X2: a,X3: a,X4: a,X5: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ eigen__6 @ X1 ) )
=> ( eigen__4
!= ( cP @ X2 @ X3 ) ) )
=> ( eigen__5
!= ( cP @ X4 @ X5 ) ) )
=> ~ ( eigen__2 @ eigen__6 @ X2 @ X4 ) )
=> ~ ( eigen__2 @ X1 @ X3 @ X5 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( eigen__2 @ eigen__7 @ eigen__9 @ eigen__11 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( eigen__1 @ eigen__7 @ eigen__9 @ eigen__11 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( sP6
=> ( eigen__4
!= ( cP @ eigen__8 @ eigen__9 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: a,X2: a] :
( ( eigen__1 @ eigen__6 @ X1 @ X2 )
=> ( eigen__2 @ eigen__6 @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( eigen__4
= ( cP @ eigen__8 @ eigen__9 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: a,X2: a,X3: a] :
( ( eigen__1 @ X1 @ X2 @ X3 )
=> ( eigen__2 @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( eigen__3 = c0 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: a,X2: a,X3: a,X4: a,X5: a,X6: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ X1 @ X2 ) )
=> ( eigen__4
!= ( cP @ X3 @ X4 ) ) )
=> ( eigen__5
!= ( cP @ X5 @ X6 ) ) )
=> ~ ( eigen__2 @ X1 @ X3 @ X5 ) )
=> ~ ( eigen__2 @ X2 @ X4 @ X6 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: a,X2: a] :
( ~ ( ~ ( ~ sP16
=> ( eigen__5
!= ( cP @ X1 @ X2 ) ) )
=> ~ ( eigen__2 @ eigen__6 @ eigen__8 @ X1 ) )
=> ~ ( eigen__2 @ eigen__7 @ eigen__9 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ! [X1: a,X2: a] :
( ( eigen__1 @ eigen__7 @ X1 @ X2 )
=> ( eigen__2 @ eigen__7 @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( eigen__5
= ( cP @ eigen__10 @ eigen__11 ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( eigen__4 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( sP3
=> sP4 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( sP15
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ! [X1: a] :
( ( eigen__1 @ eigen__6 @ eigen__8 @ X1 )
=> ( eigen__2 @ eigen__6 @ eigen__8 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(cS_JOINFN_MONOTONE_pme,conjecture,
~ ( ! [X1: a > a > a > $o] :
( ~ $false
=> ~ $false )
=> ~ ! [X1: a > a > a > $o,X2: a > a > a > $o] :
( ~ ( ~ $false
=> ~ ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ X4 @ X5 )
=> ( X2 @ X3 @ X4 @ X5 ) ) )
=> ! [X3: a,X4: a,X5: a] :
( ( ~ ( ( ( X3 = c0 )
=> ( X4 != X5 ) )
=> ~ ( ( X4 = c0 )
=> ( X3 != X5 ) ) )
=> ~ ! [X6: a,X7: a,X8: a,X9: a,X10: a,X11: a] :
( ~ ( ~ ( ~ ( ( X3
= ( cP @ X6 @ X7 ) )
=> ( X4
!= ( cP @ X8 @ X9 ) ) )
=> ( X5
!= ( cP @ X10 @ X11 ) ) )
=> ~ ( X1 @ X6 @ X8 @ X10 ) )
=> ~ ( X1 @ X7 @ X9 @ X11 ) ) )
=> ( ~ ( ( ( X3 = c0 )
=> ( X4 != X5 ) )
=> ~ ( ( X4 = c0 )
=> ( X3 != X5 ) ) )
=> ~ ! [X6: a,X7: a,X8: a,X9: a,X10: a,X11: a] :
( ~ ( ~ ( ~ ( ( X3
= ( cP @ X6 @ X7 ) )
=> ( X4
!= ( cP @ X8 @ X9 ) ) )
=> ( X5
!= ( cP @ X10 @ X11 ) ) )
=> ~ ( X2 @ X6 @ X8 @ X10 ) )
=> ~ ( X2 @ X7 @ X9 @ X11 ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
( ! [X1: a > a > a > $o] :
( ~ $false
=> ~ $false )
=> ~ ! [X1: a > a > a > $o,X2: a > a > a > $o] :
( ~ ( ~ $false
=> ~ ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ X4 @ X5 )
=> ( X2 @ X3 @ X4 @ X5 ) ) )
=> ! [X3: a,X4: a,X5: a] :
( ( ~ ( ( ( X3 = c0 )
=> ( X4 != X5 ) )
=> ~ ( ( X4 = c0 )
=> ( X3 != X5 ) ) )
=> ~ ! [X6: a,X7: a,X8: a,X9: a,X10: a,X11: a] :
( ~ ( ~ ( ~ ( ( X3
= ( cP @ X6 @ X7 ) )
=> ( X4
!= ( cP @ X8 @ X9 ) ) )
=> ( X5
!= ( cP @ X10 @ X11 ) ) )
=> ~ ( X1 @ X6 @ X8 @ X10 ) )
=> ~ ( X1 @ X7 @ X9 @ X11 ) ) )
=> ( ~ ( ( ( X3 = c0 )
=> ( X4 != X5 ) )
=> ~ ( ( X4 = c0 )
=> ( X3 != X5 ) ) )
=> ~ ! [X6: a,X7: a,X8: a,X9: a,X10: a,X11: a] :
( ~ ( ~ ( ~ ( ( X3
= ( cP @ X6 @ X7 ) )
=> ( X4
!= ( cP @ X8 @ X9 ) ) )
=> ( X5
!= ( cP @ X10 @ X11 ) ) )
=> ~ ( X2 @ X6 @ X8 @ X10 ) )
=> ~ ( X2 @ X7 @ X9 @ X11 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cS_JOINFN_MONOTONE_pme]) ).
thf(h1,assumption,
~ ! [X1: a > a > a > $o] :
( ~ $false
=> ~ $false ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: a > a > a > $o,X2: a > a > a > $o] :
( ~ ( ~ $false
=> ~ ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ X4 @ X5 )
=> ( X2 @ X3 @ X4 @ X5 ) ) )
=> ! [X3: a,X4: a,X5: a] :
( ( ~ ( ( ( X3 = c0 )
=> ( X4 != X5 ) )
=> ~ ( ( X4 = c0 )
=> ( X3 != X5 ) ) )
=> ~ ! [X6: a,X7: a,X8: a,X9: a,X10: a,X11: a] :
( ~ ( ~ ( ~ ( ( X3
= ( cP @ X6 @ X7 ) )
=> ( X4
!= ( cP @ X8 @ X9 ) ) )
=> ( X5
!= ( cP @ X10 @ X11 ) ) )
=> ~ ( X1 @ X6 @ X8 @ X10 ) )
=> ~ ( X1 @ X7 @ X9 @ X11 ) ) )
=> ( ~ ( ( ( X3 = c0 )
=> ( X4 != X5 ) )
=> ~ ( ( X4 = c0 )
=> ( X3 != X5 ) ) )
=> ~ ! [X6: a,X7: a,X8: a,X9: a,X10: a,X11: a] :
( ~ ( ~ ( ~ ( ( X3
= ( cP @ X6 @ X7 ) )
=> ( X4
!= ( cP @ X8 @ X9 ) ) )
=> ( X5
!= ( cP @ X10 @ X11 ) ) )
=> ~ ( X2 @ X6 @ X8 @ X10 ) )
=> ~ ( X2 @ X7 @ X9 @ X11 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ $false
=> ~ $false ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ $false,
introduced(assumption,[]) ).
thf(h5,assumption,
$false,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_false,[status(thm),assumptions([h4,h5,h3,h1,h0])],[h5]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h1,h0]),tab_negimp(discharge,[h4,h5])],[h3,1,h4,h5]) ).
thf(3,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__0)],[h1,2,h3]) ).
thf(h6,assumption,
~ ! [X1: a > a > a > $o] :
( ~ ( ~ $false
=> ~ ! [X2: a,X3: a,X4: a] :
( ( eigen__1 @ X2 @ X3 @ X4 )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ! [X2: a,X3: a,X4: a] :
( ( ~ ( ( ( X2 = c0 )
=> ( X3 != X4 ) )
=> ~ ( ( X3 = c0 )
=> ( X2 != X4 ) ) )
=> ~ ! [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ~ ( ~ ( ~ ( ( X2
= ( cP @ X5 @ X6 ) )
=> ( X3
!= ( cP @ X7 @ X8 ) ) )
=> ( X4
!= ( cP @ X9 @ X10 ) ) )
=> ~ ( eigen__1 @ X5 @ X7 @ X9 ) )
=> ~ ( eigen__1 @ X6 @ X8 @ X10 ) ) )
=> ( ~ ( ( ( X2 = c0 )
=> ( X3 != X4 ) )
=> ~ ( ( X3 = c0 )
=> ( X2 != X4 ) ) )
=> ~ ! [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ~ ( ~ ( ~ ( ( X2
= ( cP @ X5 @ X6 ) )
=> ( X3
!= ( cP @ X7 @ X8 ) ) )
=> ( X4
!= ( cP @ X9 @ X10 ) ) )
=> ~ ( X1 @ X5 @ X7 @ X9 ) )
=> ~ ( X1 @ X6 @ X8 @ X10 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ~ ( ~ $false
=> ~ sP19 )
=> ! [X1: a,X2: a,X3: a] :
( ( ~ ( ( ( X1 = c0 )
=> ( X2 != X3 ) )
=> ~ ( ( X2 = c0 )
=> ( X1 != X3 ) ) )
=> ~ ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ~ ( ~ ( ~ ( ( X1
= ( cP @ X4 @ X5 ) )
=> ( X2
!= ( cP @ X6 @ X7 ) ) )
=> ( X3
!= ( cP @ X8 @ X9 ) ) )
=> ~ ( eigen__1 @ X4 @ X6 @ X8 ) )
=> ~ ( eigen__1 @ X5 @ X7 @ X9 ) ) )
=> ( ~ ( ( ( X1 = c0 )
=> ( X2 != X3 ) )
=> ~ ( ( X2 = c0 )
=> ( X1 != X3 ) ) )
=> ~ ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ~ ( ~ ( ~ ( ( X1
= ( cP @ X4 @ X5 ) )
=> ( X2
!= ( cP @ X6 @ X7 ) ) )
=> ( X3
!= ( cP @ X8 @ X9 ) ) )
=> ~ ( eigen__2 @ X4 @ X6 @ X8 ) )
=> ~ ( eigen__2 @ X5 @ X7 @ X9 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ ( ~ $false
=> ~ sP19 ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ! [X1: a,X2: a,X3: a] :
( ( ~ ( ( ( X1 = c0 )
=> ( X2 != X3 ) )
=> ~ ( ( X2 = c0 )
=> ( X1 != X3 ) ) )
=> ~ ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ~ ( ~ ( ~ ( ( X1
= ( cP @ X4 @ X5 ) )
=> ( X2
!= ( cP @ X6 @ X7 ) ) )
=> ( X3
!= ( cP @ X8 @ X9 ) ) )
=> ~ ( eigen__1 @ X4 @ X6 @ X8 ) )
=> ~ ( eigen__1 @ X5 @ X7 @ X9 ) ) )
=> ( ~ ( ( ( X1 = c0 )
=> ( X2 != X3 ) )
=> ~ ( ( X2 = c0 )
=> ( X1 != X3 ) ) )
=> ~ ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ~ ( ~ ( ~ ( ( X1
= ( cP @ X4 @ X5 ) )
=> ( X2
!= ( cP @ X6 @ X7 ) ) )
=> ( X3
!= ( cP @ X8 @ X9 ) ) )
=> ~ ( eigen__2 @ X4 @ X6 @ X8 ) )
=> ~ ( eigen__2 @ X5 @ X7 @ X9 ) ) ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP19,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ! [X1: a,X2: a] :
( ( ~ ( ( sP20
=> ( X1 != X2 ) )
=> ~ ( ( X1 = c0 )
=> ( eigen__3 != X2 ) ) )
=> ~ ! [X3: a,X4: a,X5: a,X6: a,X7: a,X8: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ X3 @ X4 ) )
=> ( X1
!= ( cP @ X5 @ X6 ) ) )
=> ( X2
!= ( cP @ X7 @ X8 ) ) )
=> ~ ( eigen__1 @ X3 @ X5 @ X7 ) )
=> ~ ( eigen__1 @ X4 @ X6 @ X8 ) ) )
=> ( ~ ( ( sP20
=> ( X1 != X2 ) )
=> ~ ( ( X1 = c0 )
=> ( eigen__3 != X2 ) ) )
=> ~ ! [X3: a,X4: a,X5: a,X6: a,X7: a,X8: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ X3 @ X4 ) )
=> ( X1
!= ( cP @ X5 @ X6 ) ) )
=> ( X2
!= ( cP @ X7 @ X8 ) ) )
=> ~ ( eigen__2 @ X3 @ X5 @ X7 ) )
=> ~ ( eigen__2 @ X4 @ X6 @ X8 ) ) ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
~ ! [X1: a] :
( ( ~ ( ( sP20
=> ( eigen__4 != X1 ) )
=> ~ ( sP1
=> ( eigen__3 != X1 ) ) )
=> ~ ! [X2: a,X3: a,X4: a,X5: a,X6: a,X7: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ X2 @ X3 ) )
=> ( eigen__4
!= ( cP @ X4 @ X5 ) ) )
=> ( X1
!= ( cP @ X6 @ X7 ) ) )
=> ~ ( eigen__1 @ X2 @ X4 @ X6 ) )
=> ~ ( eigen__1 @ X3 @ X5 @ X7 ) ) )
=> ( ~ ( ( sP20
=> ( eigen__4 != X1 ) )
=> ~ ( sP1
=> ( eigen__3 != X1 ) ) )
=> ~ ! [X2: a,X3: a,X4: a,X5: a,X6: a,X7: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ X2 @ X3 ) )
=> ( eigen__4
!= ( cP @ X4 @ X5 ) ) )
=> ( X1
!= ( cP @ X6 @ X7 ) ) )
=> ~ ( eigen__2 @ X2 @ X4 @ X6 ) )
=> ~ ( eigen__2 @ X3 @ X5 @ X7 ) ) ) ),
introduced(assumption,[]) ).
thf(h13,assumption,
~ ( ( ~ ( ( sP20
=> ~ sP25 )
=> ~ ( sP1
=> ~ sP9 ) )
=> ~ ! [X1: a,X2: a,X3: a,X4: a,X5: a,X6: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ X1 @ X2 ) )
=> ( eigen__4
!= ( cP @ X3 @ X4 ) ) )
=> ( eigen__5
!= ( cP @ X5 @ X6 ) ) )
=> ~ ( eigen__1 @ X1 @ X3 @ X5 ) )
=> ~ ( eigen__1 @ X2 @ X4 @ X6 ) ) )
=> ( ~ ( ( sP20
=> ~ sP25 )
=> ~ ( sP1
=> ~ sP9 ) )
=> ~ sP21 ) ),
introduced(assumption,[]) ).
thf(h14,assumption,
( ~ ( ( sP20
=> ~ sP25 )
=> ~ ( sP1
=> ~ sP9 ) )
=> ~ ! [X1: a,X2: a,X3: a,X4: a,X5: a,X6: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ X1 @ X2 ) )
=> ( eigen__4
!= ( cP @ X3 @ X4 ) ) )
=> ( eigen__5
!= ( cP @ X5 @ X6 ) ) )
=> ~ ( eigen__1 @ X1 @ X3 @ X5 ) )
=> ~ ( eigen__1 @ X2 @ X4 @ X6 ) ) ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( ~ ( ( sP20
=> ~ sP25 )
=> ~ ( sP1
=> ~ sP9 ) )
=> ~ sP21 ),
introduced(assumption,[]) ).
thf(h16,assumption,
( ( sP20
=> ~ sP25 )
=> ~ ( sP1
=> ~ sP9 ) ),
introduced(assumption,[]) ).
thf(h17,assumption,
~ ! [X1: a,X2: a,X3: a,X4: a,X5: a,X6: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ X1 @ X2 ) )
=> ( eigen__4
!= ( cP @ X3 @ X4 ) ) )
=> ( eigen__5
!= ( cP @ X5 @ X6 ) ) )
=> ~ ( eigen__1 @ X1 @ X3 @ X5 ) )
=> ~ ( eigen__1 @ X2 @ X4 @ X6 ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
~ ( sP20
=> ~ sP25 ),
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( sP1
=> ~ sP9 ),
introduced(assumption,[]) ).
thf(h20,assumption,
sP20,
introduced(assumption,[]) ).
thf(h21,assumption,
sP25,
introduced(assumption,[]) ).
thf(h22,assumption,
~ ( ( sP20
=> ~ sP25 )
=> ~ ( sP1
=> ~ sP9 ) ),
introduced(assumption,[]) ).
thf(h23,assumption,
sP21,
introduced(assumption,[]) ).
thf(h24,assumption,
( sP20
=> ~ sP25 ),
introduced(assumption,[]) ).
thf(h25,assumption,
( sP1
=> ~ sP9 ),
introduced(assumption,[]) ).
thf(h26,assumption,
~ sP20,
introduced(assumption,[]) ).
thf(h27,assumption,
~ sP25,
introduced(assumption,[]) ).
thf(h28,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h29,assumption,
~ sP9,
introduced(assumption,[]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h28,h26,h24,h25,h22,h23,h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[h20,h26]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h29,h26,h24,h25,h22,h23,h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[h20,h26]) ).
thf(6,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h26,h24,h25,h22,h23,h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h28]),tab_imp(discharge,[h29])],[h25,4,5,h28,h29]) ).
thf(7,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h28,h27,h24,h25,h22,h23,h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[h21,h27]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h29,h27,h24,h25,h22,h23,h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[h21,h27]) ).
thf(9,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h27,h24,h25,h22,h23,h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h28]),tab_imp(discharge,[h29])],[h25,7,8,h28,h29]) ).
thf(10,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h24,h25,h22,h23,h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h24,6,9,h26,h27]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h22,h23,h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h24,h25])],[h22,10,h24,h25]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h21,h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h22,h23])],[h15,11,h22,h23]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h20,h21])],[h18,12,h20,h21]) ).
thf(h30,assumption,
sP1,
introduced(assumption,[]) ).
thf(h31,assumption,
sP9,
introduced(assumption,[]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h28,h26,h24,h25,h22,h23,h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[h30,h28]) ).
thf(15,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h29,h26,h24,h25,h22,h23,h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[h31,h29]) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h26,h24,h25,h22,h23,h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h28]),tab_imp(discharge,[h29])],[h25,14,15,h28,h29]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h28,h27,h24,h25,h22,h23,h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[h30,h28]) ).
thf(18,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h29,h27,h24,h25,h22,h23,h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[h31,h29]) ).
thf(19,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h27,h24,h25,h22,h23,h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h28]),tab_imp(discharge,[h29])],[h25,17,18,h28,h29]) ).
thf(20,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h24,h25,h22,h23,h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h24,16,19,h26,h27]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h22,h23,h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h24,h25])],[h22,20,h24,h25]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h30,h31,h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h22,h23])],[h15,21,h22,h23]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h30,h31])],[h19,22,h30,h31]) ).
thf(24,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h16,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h18]),tab_imp(discharge,[h19])],[h16,13,23,h18,h19]) ).
thf(h32,assumption,
~ ! [X1: a,X2: a,X3: a,X4: a,X5: a] :
( ~ ( ~ ( ~ ( ( eigen__3
= ( cP @ eigen__6 @ X1 ) )
=> ( eigen__4
!= ( cP @ X2 @ X3 ) ) )
=> ( eigen__5
!= ( cP @ X4 @ X5 ) ) )
=> ~ ( eigen__1 @ eigen__6 @ X2 @ X4 ) )
=> ~ ( eigen__1 @ X1 @ X3 @ X5 ) ),
introduced(assumption,[]) ).
thf(h33,assumption,
~ ! [X1: a,X2: a,X3: a,X4: a] :
( ~ ( ~ ( ~ ( sP6
=> ( eigen__4
!= ( cP @ X1 @ X2 ) ) )
=> ( eigen__5
!= ( cP @ X3 @ X4 ) ) )
=> ~ ( eigen__1 @ eigen__6 @ X1 @ X3 ) )
=> ~ ( eigen__1 @ eigen__7 @ X2 @ X4 ) ),
introduced(assumption,[]) ).
thf(h34,assumption,
~ ! [X1: a,X2: a,X3: a] :
( ~ ( ~ ( ~ ( sP6
=> ( eigen__4
!= ( cP @ eigen__8 @ X1 ) ) )
=> ( eigen__5
!= ( cP @ X2 @ X3 ) ) )
=> ~ ( eigen__1 @ eigen__6 @ eigen__8 @ X2 ) )
=> ~ ( eigen__1 @ eigen__7 @ X1 @ X3 ) ),
introduced(assumption,[]) ).
thf(h35,assumption,
~ ! [X1: a,X2: a] :
( ~ ( ~ ( ~ sP16
=> ( eigen__5
!= ( cP @ X1 @ X2 ) ) )
=> ~ ( eigen__1 @ eigen__6 @ eigen__8 @ X1 ) )
=> ~ ( eigen__1 @ eigen__7 @ eigen__9 @ X2 ) ),
introduced(assumption,[]) ).
thf(h36,assumption,
~ ! [X1: a] :
( ~ ( ~ ( ~ sP16
=> ( eigen__5
!= ( cP @ eigen__10 @ X1 ) ) )
=> ~ sP3 )
=> ~ ( eigen__1 @ eigen__7 @ eigen__9 @ X1 ) ),
introduced(assumption,[]) ).
thf(h37,assumption,
~ ( ~ ( ~ sP8
=> ~ sP3 )
=> ~ sP15 ),
introduced(assumption,[]) ).
thf(h38,assumption,
~ ( ~ sP8
=> ~ sP3 ),
introduced(assumption,[]) ).
thf(h39,assumption,
sP15,
introduced(assumption,[]) ).
thf(h40,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h41,assumption,
sP3,
introduced(assumption,[]) ).
thf(h42,assumption,
~ sP16,
introduced(assumption,[]) ).
thf(h43,assumption,
sP24,
introduced(assumption,[]) ).
thf(h44,assumption,
sP6,
introduced(assumption,[]) ).
thf(h45,assumption,
sP18,
introduced(assumption,[]) ).
thf(25,plain,
( ~ sP19
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP23
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP12
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP27
| ~ sP15
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP19
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP17
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP28
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP26
| ~ sP3
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP21
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(35,plain,
( ~ sP11
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP5
| sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP22
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP10
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(39,plain,
( ~ sP2
| sP7
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( ~ sP7
| sP8
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(41,plain,
( ~ sP8
| sP16
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( ~ sP16
| ~ sP6
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h28,h26,h24,h25,h22,h23,h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,h10,h44,h45,h43,h41,h39,h23]) ).
thf(44,plain,
( ~ sP19
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(45,plain,
( ~ sP23
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(46,plain,
( ~ sP12
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(47,plain,
( ~ sP27
| ~ sP15
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(48,plain,
( ~ sP19
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(49,plain,
( ~ sP17
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(50,plain,
( ~ sP28
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(51,plain,
( ~ sP26
| ~ sP3
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(52,plain,
( ~ sP21
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(53,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(54,plain,
( ~ sP11
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(55,plain,
( ~ sP5
| sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(56,plain,
( ~ sP22
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(57,plain,
( ~ sP10
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(58,plain,
( ~ sP2
| sP7
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(59,plain,
( ~ sP7
| sP8
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(60,plain,
( ~ sP8
| sP16
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(61,plain,
( ~ sP16
| ~ sP6
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(62,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h29,h26,h24,h25,h22,h23,h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,h10,h44,h45,h43,h41,h39,h23]) ).
thf(63,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h26,h24,h25,h22,h23,h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h28]),tab_imp(discharge,[h29])],[h25,43,62,h28,h29]) ).
thf(64,plain,
( ~ sP19
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(65,plain,
( ~ sP23
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(66,plain,
( ~ sP12
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(67,plain,
( ~ sP27
| ~ sP15
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(68,plain,
( ~ sP19
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(69,plain,
( ~ sP17
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(70,plain,
( ~ sP28
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(71,plain,
( ~ sP26
| ~ sP3
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(72,plain,
( ~ sP21
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(73,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(74,plain,
( ~ sP11
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(75,plain,
( ~ sP5
| sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(76,plain,
( ~ sP22
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(77,plain,
( ~ sP10
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(78,plain,
( ~ sP2
| sP7
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(79,plain,
( ~ sP7
| sP8
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(80,plain,
( ~ sP8
| sP16
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(81,plain,
( ~ sP16
| ~ sP6
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(82,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h28,h27,h24,h25,h22,h23,h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,h10,h44,h45,h43,h41,h39,h23]) ).
thf(83,plain,
( ~ sP19
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(84,plain,
( ~ sP23
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(85,plain,
( ~ sP12
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(86,plain,
( ~ sP27
| ~ sP15
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(87,plain,
( ~ sP19
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(88,plain,
( ~ sP17
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(89,plain,
( ~ sP28
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(90,plain,
( ~ sP26
| ~ sP3
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(91,plain,
( ~ sP21
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(92,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(93,plain,
( ~ sP11
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(94,plain,
( ~ sP5
| sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(95,plain,
( ~ sP22
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(96,plain,
( ~ sP10
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(97,plain,
( ~ sP2
| sP7
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(98,plain,
( ~ sP7
| sP8
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(99,plain,
( ~ sP8
| sP16
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(100,plain,
( ~ sP16
| ~ sP6
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(101,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h29,h27,h24,h25,h22,h23,h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0])],[83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,h10,h44,h45,h43,h41,h39,h23]) ).
thf(102,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h27,h24,h25,h22,h23,h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h28]),tab_imp(discharge,[h29])],[h25,82,101,h28,h29]) ).
thf(103,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h24,h25,h22,h23,h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h24,63,102,h26,h27]) ).
thf(104,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h22,h23,h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h24,h25])],[h22,103,h24,h25]) ).
thf(105,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h44,h45,h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h22,h23])],[h15,104,h22,h23]) ).
thf(106,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h42,h43,h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h44,h45])],[h42,105,h44,h45]) ).
thf(107,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h40,h41,h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h42,h43])],[h40,106,h42,h43]) ).
thf(108,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h38,h39,h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h40,h41])],[h38,107,h40,h41]) ).
thf(109,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h37,h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h38,h39])],[h37,108,h38,h39]) ).
thf(110,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h36,h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h37]),tab_negall(eigenvar,eigen__11)],[h36,109,h37]) ).
thf(111,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h35,h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h36]),tab_negall(eigenvar,eigen__10)],[h35,110,h36]) ).
thf(112,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h34,h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h35]),tab_negall(eigenvar,eigen__9)],[h34,111,h35]) ).
thf(113,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h33,h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h34]),tab_negall(eigenvar,eigen__8)],[h33,112,h34]) ).
thf(114,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h32,h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h33]),tab_negall(eigenvar,eigen__7)],[h32,113,h33]) ).
thf(115,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h17,h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h32]),tab_negall(eigenvar,eigen__6)],[h17,114,h32]) ).
thf(116,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h15,h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_imp(discharge,[h16]),tab_imp(discharge,[h17])],[h14,24,115,h16,h17]) ).
thf(117,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h14,h15])],[h13,116,h14,h15]) ).
thf(118,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h12,h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__5)],[h12,117,h13]) ).
thf(119,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h11,h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__4)],[h11,118,h12]) ).
thf(120,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h10,h8,h9,h7,h6,h2,h0]),tab_negall(discharge,[h11]),tab_negall(eigenvar,eigen__3)],[h9,119,h11]) ).
thf(121,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h9,h7,h6,h2,h0]),tab_negimp(discharge,[h4,h10])],[h8,120,h4,h10]) ).
thf(122,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h6,h2,h0]),tab_negimp(discharge,[h8,h9])],[h7,121,h8,h9]) ).
thf(123,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h2,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__2)],[h6,122,h7]) ).
thf(124,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__1)],[h2,123,h6]) ).
thf(125,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[h0,3,124,h1,h2]) ).
thf(0,theorem,
~ ( ! [X1: a > a > a > $o] :
( ~ $false
=> ~ $false )
=> ~ ! [X1: a > a > a > $o,X2: a > a > a > $o] :
( ~ ( ~ $false
=> ~ ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ X4 @ X5 )
=> ( X2 @ X3 @ X4 @ X5 ) ) )
=> ! [X3: a,X4: a,X5: a] :
( ( ~ ( ( ( X3 = c0 )
=> ( X4 != X5 ) )
=> ~ ( ( X4 = c0 )
=> ( X3 != X5 ) ) )
=> ~ ! [X6: a,X7: a,X8: a,X9: a,X10: a,X11: a] :
( ~ ( ~ ( ~ ( ( X3
= ( cP @ X6 @ X7 ) )
=> ( X4
!= ( cP @ X8 @ X9 ) ) )
=> ( X5
!= ( cP @ X10 @ X11 ) ) )
=> ~ ( X1 @ X6 @ X8 @ X10 ) )
=> ~ ( X1 @ X7 @ X9 @ X11 ) ) )
=> ( ~ ( ( ( X3 = c0 )
=> ( X4 != X5 ) )
=> ~ ( ( X4 = c0 )
=> ( X3 != X5 ) ) )
=> ~ ! [X6: a,X7: a,X8: a,X9: a,X10: a,X11: a] :
( ~ ( ~ ( ~ ( ( X3
= ( cP @ X6 @ X7 ) )
=> ( X4
!= ( cP @ X8 @ X9 ) ) )
=> ( X5
!= ( cP @ X10 @ X11 ) ) )
=> ~ ( X2 @ X6 @ X8 @ X10 ) )
=> ~ ( X2 @ X7 @ X9 @ X11 ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[125,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV191^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 14:01:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.59 % SZS status Theorem
% 0.19/0.59 % Mode: mode213
% 0.19/0.59 % Inferences: 36
% 0.19/0.59 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------