%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV012^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n007.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 : 300s
% DateTime : Thu Oct 9 02:56:07 PM UTC 2025
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : Derivation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 50 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 42 ( 16 ^; 26 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__2,type,
eigen__2: $o ).
thf(ty_eigen__1,type,
eigen__1: $o ).
thf(ty_eigen__0,type,
eigen__0: $o ).
thf(ty_eigen__4,type,
eigen__4: $o ).
thf(ty_eigen__3,type,
eigen__3: $o ).
thf(cTHM519_pme,conjecture,
~ ( ~ ( ! [X1: $o,X2: $o] :
( ~ $false
=> ~ $false )
=> ~ ! [X1: $o,X2: $o,X3: $o] :
( ~ $false
=> ~ $false ) )
=> ( ( ^ [X1: $o,X2: $o] : ~ $false )
!= ( ^ [X1: $o,X2: $o] : ~ $false ) ) ) ).
thf(h0,negated_conjecture,
( ~ ( ! [X1: $o,X2: $o] :
( ~ $false
=> ~ $false )
=> ~ ! [X1: $o,X2: $o,X3: $o] :
( ~ $false
=> ~ $false ) )
=> ( ( ^ [X1: $o,X2: $o] : ~ $false )
!= ( ^ [X1: $o,X2: $o] : ~ $false ) ) ),
inference(assume_negation,[status(cth)],[cTHM519_pme]) ).
thf(h1,assumption,
( ! [X1: $o,X2: $o] :
( ~ $false
=> ~ $false )
=> ~ ! [X1: $o,X2: $o,X3: $o] :
( ~ $false
=> ~ $false ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
( ( ^ [X1: $o,X2: $o] : ~ $false )
!= ( ^ [X1: $o,X2: $o] : ~ $false ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ! [X1: $o,X2: $o] :
( ~ $false
=> ~ $false ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ ! [X1: $o,X2: $o,X3: $o] :
( ~ $false
=> ~ $false ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ! [X1: $o] :
( ~ $false
=> ~ $false ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( ~ $false
=> ~ $false ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ $false,
introduced(assumption,[]) ).
thf(h8,assumption,
$false,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_false,[status(thm),assumptions([h7,h8,h6,h5,h3,h1,h0])],[h8]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h5,h3,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,1,h7,h8]) ).
thf(3,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h3,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__1)],[h5,2,h6]) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[h3,3,h5]) ).
thf(5,plain,
$false,
inference(tab_false,[status(thm),assumptions([h7,h8,h6,h5,h3,h4,h1,h0])],[h8]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h5,h3,h4,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,5,h7,h8]) ).
thf(7,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h3,h4,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__4)],[h5,6,h6]) ).
thf(8,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h4,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__3)],[h3,7,h5]) ).
thf(9,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h4,8,h3]) ).
thf(10,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,4,9,h3,h4]) ).
thf(11,plain,
$false,
inference(tab_negrefl,[status(thm),assumptions([h2,h0])],[h2]) ).
thf(12,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[h0,10,11,h1,h2]) ).
thf(0,theorem,
~ ( ~ ( ! [X1: $o,X2: $o] :
( ~ $false
=> ~ $false )
=> ~ ! [X1: $o,X2: $o,X3: $o] :
( ~ $false
=> ~ $false ) )
=> ( ( ^ [X1: $o,X2: $o] : ~ $false )
!= ( ^ [X1: $o,X2: $o] : ~ $false ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[12,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV012^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 8 19:26:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % Mode: mode213
% 0.13/0.36 % Inferences: 0
% 0.13/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------