TSTP Solution File: PUZ047^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : PUZ047^5 : 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 : n017.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 : Mon Jul 18 18:24:38 EDT 2022
% Result : Theorem 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_b,type,
b: $tType ).
thf(ty_cS,type,
cS: a ).
thf(ty_cG,type,
cG: b > b ).
thf(ty_cP,type,
cP: a > a > a > a > b > $o ).
thf(ty_cL,type,
cL: b > b ).
thf(ty_cO,type,
cO: b ).
thf(ty_cD,type,
cD: b > b ).
thf(ty_cW,type,
cW: b > b ).
thf(ty_cN,type,
cN: a ).
thf(sP1,plain,
( sP1
<=> ! [X1: a,X2: b] :
( ( cP @ cS @ cS @ cS @ X1 @ X2 )
=> ( cP @ cN @ cS @ cN @ X1 @ ( cG @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cG @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cP @ cN @ cN @ cN @ cS @ ( cW @ ( cL @ ( cG @ cO ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( cP @ cN @ cN @ cS @ cN @ ( cD @ ( cG @ ( cW @ ( cL @ ( cG @ cO ) ) ) ) ) )
=> ( cP @ cS @ cN @ cS @ cN @ ( cL @ ( cD @ ( cG @ ( cW @ ( cL @ ( cG @ cO ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: a,X2: a,X3: b] :
( ( cP @ cS @ X1 @ cS @ X2 @ X3 )
=> ( cP @ cN @ X1 @ cN @ X2 @ ( cG @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( sP3
=> ( cP @ cS @ cN @ cS @ cS @ ( cG @ ( cW @ ( cL @ ( cG @ cO ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( cP @ cS @ cN @ cS @ cS @ ( cG @ ( cW @ ( cL @ ( cG @ cO ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cP @ cN @ cN @ cS @ cN @ ( cD @ ( cG @ ( cW @ ( cL @ ( cG @ cO ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cS @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cD @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: a,X2: b] :
( ( cP @ cN @ cN @ cN @ X1 @ X2 )
=> ( cP @ cS @ cN @ cS @ X1 @ ( cG @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( sP7
=> sP8 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( cP @ cN @ cS @ cN @ cS @ ( cG @ cO ) )
=> ( cP @ cS @ cS @ cN @ cS @ ( cL @ ( cG @ cO ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: a,X2: b] :
( ( cP @ cS @ cN @ cS @ X1 @ X2 )
=> ( cP @ cN @ cN @ cN @ X1 @ ( cG @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: a,X2: a,X3: b] :
( ( cP @ cN @ X1 @ cN @ X2 @ X3 )
=> ( cP @ cS @ X1 @ cS @ X2 @ ( cG @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( cP @ cN @ cS @ cN @ cS @ ( cG @ cO ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cG @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( cP @ cS @ cN @ cS @ cN @ ( cL @ ( cD @ ( cG @ ( cW @ ( cL @ ( cG @ cO ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cN @ cN @ cS @ ( cW @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cN @ cN @ ( cG @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( cP @ cN @ cN @ cN @ cN @ ( cG @ ( cL @ ( cD @ ( cG @ ( cW @ ( cL @ ( cG @ cO ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( cP @ cS @ cS @ cN @ cS @ ( cL @ ( cG @ cO ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( cP @ cS @ cS @ cS @ cS @ cO ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ! [X1: b] :
~ ( cP @ cN @ cN @ cN @ cN @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( sP17
=> sP20 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: b] :
( ( cP @ cN @ cS @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cL @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cN @ ( cL @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( sP21
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( sP22
=> sP15 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(cTHM100A,conjecture,
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 )
=> ~ sP14 )
=> ~ sP9 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cS @ cN @ cN @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cD @ X1 ) ) ) )
=> ~ sP23 ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 )
=> ~ sP14 )
=> ~ sP9 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cS @ cN @ cN @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cD @ X1 ) ) ) )
=> ~ sP23 ),
inference(assume_negation,[status(cth)],[cTHM100A]) ).
thf(h1,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 )
=> ~ sP14 )
=> ~ sP9 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cS @ cN @ cN @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cD @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP23,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 )
=> ~ sP14 )
=> ~ sP9 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
! [X1: b] :
( ( cP @ cN @ cS @ cN @ cN @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cD @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 )
=> ~ sP14 )
=> ~ sP9 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 )
=> ~ sP14 )
=> ~ sP9 ),
introduced(assumption,[]) ).
thf(h8,assumption,
! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 )
=> ~ sP14 ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP9,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 ),
introduced(assumption,[]) ).
thf(h12,assumption,
sP14,
introduced(assumption,[]) ).
thf(h13,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h14,assumption,
sP5,
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 ),
introduced(assumption,[]) ).
thf(h16,assumption,
! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h17,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
sP18,
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h20,assumption,
! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h21,assumption,
~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 ),
introduced(assumption,[]) ).
thf(h22,assumption,
! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h23,assumption,
~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h24,assumption,
sP25,
introduced(assumption,[]) ).
thf(h25,assumption,
~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 ),
introduced(assumption,[]) ).
thf(h26,assumption,
! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h27,assumption,
~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h28,assumption,
sP26,
introduced(assumption,[]) ).
thf(h29,assumption,
sP22,
introduced(assumption,[]) ).
thf(h30,assumption,
! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ),
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP23
| ~ sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP13
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP19
| sP24 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP24
| ~ sP17
| sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP26
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP4
| ~ sP8
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP9
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP11
| ~ sP7
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP5
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP14
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP10
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP2
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP6
| ~ sP3
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP18
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP27
| ~ sP21
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP25
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP12
| ~ sP15
| sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP5
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP1
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP16
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP28
| ~ sP22
| sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,h29,h28,h24,h18,h14,h12,h10,h2]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h29,h30])],[h27,22,h29,h30]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h27,h28])],[h25,23,h27,h28]) ).
thf(25,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h25,h26])],[h23,24,h25,h26]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h21,25,h23,h24]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h19,26,h21,h22]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,27,h19,h20]) ).
thf(29,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,28,h17,h18]) ).
thf(30,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h13,29,h15,h16]) ).
thf(31,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,30,h13,h14]) ).
thf(32,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,31,h11,h12]) ).
thf(33,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,32,h9,h10]) ).
thf(34,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h5,33,h7,h8]) ).
thf(35,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,34,h5,h6]) ).
thf(36,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,35,h3,h4]) ).
thf(37,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,36,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP22
=> ~ ! [X1: b] :
( ( cP @ cS @ cN @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X1 ) ) ) )
=> ~ sP26 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X1 ) ) ) )
=> ~ sP25 )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cS @ cN @ X1 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X1 ) ) ) )
=> ~ sP18 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cN @ cS @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X1 ) ) ) )
=> ~ sP5 )
=> ~ sP14 )
=> ~ sP9 )
=> ~ ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) ) ) )
=> ~ ! [X1: b] :
( ( cP @ cN @ cS @ cN @ cN @ X1 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cD @ X1 ) ) ) )
=> ~ sP23 ),
inference(contra,[status(thm),contra(discharge,[h0])],[37,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ047^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n017.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 May 29 01:47:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 % Mode: mode213
% 0.12/0.40 % Inferences: 141
% 0.12/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------