%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO232^5 : 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 : n005.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 03:25:11 PM UTC 2025
% Result : Theorem 0.14s 0.37s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_cP,type,
cP: a > $o ).
thf(ty_y,type,
y: $i ).
thf(ty_cB,type,
cB: $o ).
thf(ty_x,type,
x: a ).
thf(sP1,plain,
( sP1
<=> ( cP @ x ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: a] :
~ ( cP @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cADDHYP4,conjecture,
( ( ( y = y )
=> cB )
=> ( sP1
=> ~ sP2 ) ) ).
thf(h0,negated_conjecture,
~ ( ( ( y = y )
=> cB )
=> ( sP1
=> ~ sP2 ) ),
inference(assume_negation,[status(cth)],[cADDHYP4]) ).
thf(h1,assumption,
( ( y = y )
=> cB ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP1
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h3,assumption,
y != y,
introduced(assumption,[]) ).
thf(h4,assumption,
cB,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_negrefl,[status(thm),assumptions([h3,h1,h2,h0])],[h3]) ).
thf(h5,assumption,
sP1,
introduced(assumption,[]) ).
thf(h6,assumption,
sP2,
introduced(assumption,[]) ).
thf(2,plain,
( ~ sP2
| ~ sP1 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h5,h6,h4,h1,h2,h0])],[2,h5,h6]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h2,3,h5,h6]) ).
thf(5,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,1,4,h3,h4]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,5,h1,h2]) ).
thf(0,theorem,
( ( ( y = y )
=> cB )
=> ( sP1
=> ~ sP2 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[6,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO232^5 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Oct 9 00:40:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % SZS status Theorem
% 0.14/0.37 % Mode: mode213
% 0.14/0.37 % Inferences: 2
% 0.14/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------