%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO306^5 : 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 : n018.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 03:25:19 PM UTC 2025
% Result : Theorem 1.07s 1.27s
% Output : Proof 1.07s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cS,type,
cS: $i > $o ).
thf(ty_cT,type,
cT: $i > $o ).
thf(sP1,plain,
( sP1
<=> ( ! [X1: $i] :
~ ( ( cS @ X1 )
=> ~ ( cT @ X1 ) )
=> ! [X1: $i] :
~ ( ( cS @ X1 )
=> ~ ( cT @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ! [X1: $i > $o] :
( ( !! @ X1 )
=> ( !! @ X1 ) )
=> sP1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
~ ( ( cS @ X1 )
=> ~ ( cT @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cDUP_BUG_2,conjecture,
sP2 ).
thf(h0,negated_conjecture,
~ sP2,
inference(assume_negation,[status(cth)],[cDUP_BUG_2]) ).
thf(1,plain,
( sP1
| ~ sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( sP1
| sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( sP2
| ~ sP1 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,h0]) ).
thf(0,theorem,
sP2,
inference(contra,[status(thm),contra(discharge,[h0])],[4,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO306^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n018.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 : Thu Oct 9 00:40:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 1.07/1.27 % SZS status Theorem
% 1.07/1.27 % Mode: mode506
% 1.07/1.27 % Inferences: 2
% 1.07/1.27 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------