TSTP Solution File: SYO125^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO125^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -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 : Fri Sep 1 04:45:20 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cP,type,
cP: $o ).
thf(ty_cQ,type,
cQ: $o ).
thf(ty_cR,type,
cR: $o ).
thf(sP1,plain,
( sP1
<=> cP ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> cQ ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> cR ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cTRIV4,conjecture,
( ~ ( ( sP1 = sP2 )
=> ( sP2 != sP3 ) )
=> ( sP1 = sP3 ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ( sP1 = sP2 )
=> ( sP2 != sP3 ) )
=> ( sP1 = sP3 ) ),
inference(assume_negation,[status(cth)],[cTRIV4]) ).
thf(h1,assumption,
~ ( ( sP1 = sP2 )
=> ( sP2 != sP3 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP1 != sP3,
introduced(assumption,[]) ).
thf(h3,assumption,
sP1 = sP2,
introduced(assumption,[]) ).
thf(h4,assumption,
sP2 = sP3,
introduced(assumption,[]) ).
thf(h5,assumption,
sP1,
introduced(assumption,[]) ).
thf(h6,assumption,
sP2,
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h9,assumption,
sP3,
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h5,h9,h6,h9,h5,h6,h3,h4,h1,h2,h0])],[h9,h9]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h10,h6,h9,h5,h6,h3,h4,h1,h2,h0])],[h5,h7]) ).
thf(3,plain,
$false,
inference(tab_be,[status(thm),assumptions([h6,h9,h5,h6,h3,h4,h1,h2,h0]),tab_be(discharge,[h5,h9]),tab_be(discharge,[h7,h10])],[h2,1,2,h5,h9,h7,h10]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h5,h9,h8,h10,h5,h6,h3,h4,h1,h2,h0])],[h6,h8]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h10,h8,h10,h5,h6,h3,h4,h1,h2,h0])],[h10,h10]) ).
thf(6,plain,
$false,
inference(tab_be,[status(thm),assumptions([h8,h10,h5,h6,h3,h4,h1,h2,h0]),tab_be(discharge,[h5,h9]),tab_be(discharge,[h7,h10])],[h2,4,5,h5,h9,h7,h10]) ).
thf(7,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_bq(discharge,[h6,h9]),tab_bq(discharge,[h8,h10])],[h4,3,6,h6,h9,h8,h10]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h5,h9,h6,h9,h7,h8,h3,h4,h1,h2,h0])],[h9,h9]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h10,h6,h9,h7,h8,h3,h4,h1,h2,h0])],[h6,h8]) ).
thf(10,plain,
$false,
inference(tab_be,[status(thm),assumptions([h6,h9,h7,h8,h3,h4,h1,h2,h0]),tab_be(discharge,[h5,h9]),tab_be(discharge,[h7,h10])],[h2,8,9,h5,h9,h7,h10]) ).
thf(11,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h5,h9,h8,h10,h7,h8,h3,h4,h1,h2,h0])],[h5,h7]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h10,h8,h10,h7,h8,h3,h4,h1,h2,h0])],[h10,h10]) ).
thf(13,plain,
$false,
inference(tab_be,[status(thm),assumptions([h8,h10,h7,h8,h3,h4,h1,h2,h0]),tab_be(discharge,[h5,h9]),tab_be(discharge,[h7,h10])],[h2,11,12,h5,h9,h7,h10]) ).
thf(14,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h7,h8,h3,h4,h1,h2,h0]),tab_bq(discharge,[h6,h9]),tab_bq(discharge,[h8,h10])],[h4,10,13,h6,h9,h8,h10]) ).
thf(15,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_bq(discharge,[h5,h6]),tab_bq(discharge,[h7,h8])],[h3,7,14,h5,h6,h7,h8]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,15,h3,h4]) ).
thf(17,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,16,h1,h2]) ).
thf(0,theorem,
( ~ ( ( sP1 = sP2 )
=> ( sP2 != sP3 ) )
=> ( sP1 = sP3 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO125^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : lash -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 : Sat Aug 26 01:25:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % SZS status Theorem
% 0.13/0.37 % Mode: cade22grackle2xfee4
% 0.13/0.37 % Steps: 0
% 0.13/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------