%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO345^5 : 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 : n029.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 03:25:22 PM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cH,type,
cH: $o > $i ).
thf(sP1,plain,
( sP1
<=> ( ( cH @ ~ $false )
= ( cH
@ ( ( cH @ ~ $false )
= ( cH @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ~ $false )
= ( ( cH @ ~ $false )
= ( cH @ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> $false ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( cH
@ ( ( cH @ ~ sP3 )
= ( cH @ sP3 ) ) )
= ( cH @ sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( ( cH @ ~ sP3 )
= ( cH @ sP3 ) )
= sP3 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( cH @ ~ sP3 )
= ( cH @ sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(cTHM615,conjecture,
sP4 ).
thf(h0,negated_conjecture,
~ sP4,
inference(assume_negation,[status(cth)],[cTHM615]) ).
thf(1,plain,
( sP2
| sP3
| ~ sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( sP1
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP6
| sP4
| ~ sP1
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],[]) ).
thf(4,plain,
~ sP3,
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( sP5
| sP6
| sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( sP4
| ~ sP5 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,h0]) ).
thf(0,theorem,
sP4,
inference(contra,[status(thm),contra(discharge,[h0])],[7,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO345^5 : TPTP v9.2.0. 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 : n029.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 : 300
% 0.12/0.34 % DateTime : Thu Oct 9 00:42:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % Mode: mode213
% 0.12/0.37 % Inferences: 23
% 0.12/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------