TSTP Solution File: SYO549^1 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO549^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n026.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 : Fri Sep 1 04:47:27 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_f,type,
f: $o > $o ).
thf(ty_g,type,
g: $o > $o ).
thf(ty_p,type,
p: ( $o > $o ) > ( $o > $o ) > $o ).
thf(sP1,plain,
( sP1
<=> ( p @ f @ g ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(pfgc,conjecture,
sP1 ).
thf(h0,negated_conjecture,
~ sP1,
inference(assume_negation,[status(cth)],[pfgc]) ).
thf(pfg,axiom,
sP1 ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h0])],[pfg,h0]) ).
thf(0,theorem,
sP1,
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYO549^1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 00:16:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % Mode: cade22grackle2xfee4
% 0.13/0.36 % Steps: 0
% 0.13/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------