TSTP Solution File: SEV194^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV194^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 18:05:18 EDT 2022
% Result : Theorem 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_cP,type,
cP: a > a > a ).
thf(ty_eigen__0,type,
eigen__0: a > a > a > $o ).
thf(ty_c0,type,
c0: a ).
thf(ty_x,type,
x: a ).
thf(sP1,plain,
( sP1
<=> ! [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__0 @ X4 @ X6 @ X8 ) )
=> ~ ( eigen__0 @ X5 @ X7 @ X9 ) ) )
=> ( eigen__0 @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ( c0 = c0 )
=> ( x != x ) )
=> ~ ( ( x = c0 )
=> ( c0 != x ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: a] :
( ( ~ ( ( ( c0 = c0 )
=> ( x != X1 ) )
=> ~ ( ( x = c0 )
=> ( c0 != X1 ) ) )
=> ~ ! [X2: a,X3: a,X4: a,X5: a,X6: a,X7: a] :
( ~ ( ~ ( ~ ( ( c0
= ( cP @ X2 @ X3 ) )
=> ( x
!= ( cP @ X4 @ X5 ) ) )
=> ( X1
!= ( cP @ X6 @ X7 ) ) )
=> ~ ( eigen__0 @ X2 @ X4 @ X6 ) )
=> ~ ( eigen__0 @ X3 @ X5 @ X7 ) ) )
=> ( eigen__0 @ c0 @ x @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: a,X2: a] :
( ( ~ ( ( ( c0 = c0 )
=> ( X1 != X2 ) )
=> ~ ( ( X1 = c0 )
=> ( c0 != X2 ) ) )
=> ~ ! [X3: a,X4: a,X5: a,X6: a,X7: a,X8: a] :
( ~ ( ~ ( ~ ( ( c0
= ( cP @ X3 @ X4 ) )
=> ( X1
!= ( cP @ X5 @ X6 ) ) )
=> ( X2
!= ( cP @ X7 @ X8 ) ) )
=> ~ ( eigen__0 @ X3 @ X5 @ X7 ) )
=> ~ ( eigen__0 @ X4 @ X6 @ X8 ) ) )
=> ( eigen__0 @ c0 @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( c0 = c0 )
=> ( x != x ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( c0 = c0 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ sP2
=> ~ ! [X1: a,X2: a,X3: a,X4: a,X5: a,X6: a] :
( ~ ( ~ ( ~ ( ( c0
= ( cP @ X1 @ X2 ) )
=> ( x
!= ( cP @ X3 @ X4 ) ) )
=> ( x
!= ( cP @ X5 @ X6 ) ) )
=> ~ ( eigen__0 @ X1 @ X3 @ X5 ) )
=> ~ ( eigen__0 @ X2 @ X4 @ X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( eigen__0 @ c0 @ x @ x ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( x = x ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( sP7
=> sP8 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(cS_INCL_LEM2_pme,conjecture,
! [X1: a > a > a > $o] :
( ~ ( ~ $false
=> ~ ! [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 ) ) )
=> ~ ( X1 @ X5 @ X7 @ X9 ) )
=> ~ ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ c0 @ x @ x ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: a > a > a > $o] :
( ~ ( ~ $false
=> ~ ! [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 ) ) )
=> ~ ( X1 @ X5 @ X7 @ X9 ) )
=> ~ ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ c0 @ x @ x ) ),
inference(assume_negation,[status(cth)],[cS_INCL_LEM2_pme]) ).
thf(h1,assumption,
~ ( ~ ( ~ $false
=> ~ sP1 )
=> sP8 ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( ~ $false
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h4,assumption,
~ $false,
introduced(assumption,[]) ).
thf(h5,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
sP9,
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
sP6,
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP5
| ~ sP6
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP2
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP7
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP1
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP4
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP3
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP10
| ~ sP7
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h4,h5,h2,h3,h1,h0])],[1,2,3,4,5,6,7,8,9,h5,h3]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h2,h3,h1,h0]),tab_negimp(discharge,[h4,h5])],[h2,10,h4,h5]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,11,h2,h3]) ).
thf(13,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,12,h1]) ).
thf(0,theorem,
! [X1: a > a > a > $o] :
( ~ ( ~ $false
=> ~ ! [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 ) ) )
=> ~ ( X1 @ X5 @ X7 @ X9 ) )
=> ~ ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ c0 @ x @ x ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[13,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV194^5 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n028.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 : Tue Jun 28 16:33:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % Mode: mode213
% 0.19/0.36 % Inferences: 11
% 0.19/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------