TSTP Solution File: SYO079^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO079^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n004.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 : 600s
% DateTime : Thu Jul 21 19:30:11 EDT 2022
% Result : Theorem 0.14s 0.35s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cP,type,
cP: $o ).
thf(ty_cR,type,
cR: $o ).
thf(ty_cQ,type,
cQ: $o ).
thf(sP1,plain,
( sP1
<=> cQ ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> cP ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> cR ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cTHM50_A,conjecture,
( ( ( sP2 = sP1 )
= sP3 )
=> ( sP2
= ( sP1 = sP3 ) ) ) ).
thf(h0,negated_conjecture,
~ ( ( ( sP2 = sP1 )
= sP3 )
=> ( sP2
= ( sP1 = sP3 ) ) ),
inference(assume_negation,[status(cth)],[cTHM50_A]) ).
thf(h1,assumption,
( ( sP2 = sP1 )
= sP3 ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP2
!= ( sP1 = sP3 ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP2 = sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
sP3,
introduced(assumption,[]) ).
thf(h5,assumption,
sP2 != sP1,
introduced(assumption,[]) ).
thf(h6,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h7,assumption,
sP2,
introduced(assumption,[]) ).
thf(h8,assumption,
sP1,
introduced(assumption,[]) ).
thf(h9,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h11,assumption,
sP1 = sP3,
introduced(assumption,[]) ).
thf(h12,assumption,
sP1 != sP3,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h4,h7,h11,h7,h8,h3,h4,h1,h2,h0])],[h4,h4]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h6,h7,h11,h7,h8,h3,h4,h1,h2,h0])],[h8,h10]) ).
thf(3,plain,
$false,
inference(tab_be,[status(thm),assumptions([h7,h11,h7,h8,h3,h4,h1,h2,h0]),tab_be(discharge,[h8,h4]),tab_be(discharge,[h10,h6])],[h11,1,2,h8,h4,h10,h6]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h4,h9,h12,h7,h8,h3,h4,h1,h2,h0])],[h7,h9]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h6,h9,h12,h7,h8,h3,h4,h1,h2,h0])],[h4,h6]) ).
thf(6,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h9,h12,h7,h8,h3,h4,h1,h2,h0]),tab_bq(discharge,[h8,h4]),tab_bq(discharge,[h10,h6])],[h12,4,5,h8,h4,h10,h6]) ).
thf(7,plain,
$false,
inference(tab_be,[status(thm),assumptions([h7,h8,h3,h4,h1,h2,h0]),tab_be(discharge,[h7,h11]),tab_be(discharge,[h9,h12])],[h2,3,6,h7,h11,h9,h12]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h4,h7,h11,h9,h10,h3,h4,h1,h2,h0])],[h4,h4]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h6,h7,h11,h9,h10,h3,h4,h1,h2,h0])],[h7,h9]) ).
thf(10,plain,
$false,
inference(tab_be,[status(thm),assumptions([h7,h11,h9,h10,h3,h4,h1,h2,h0]),tab_be(discharge,[h8,h4]),tab_be(discharge,[h10,h6])],[h11,8,9,h8,h4,h10,h6]) ).
thf(11,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h4,h9,h12,h9,h10,h3,h4,h1,h2,h0])],[h8,h10]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h6,h9,h12,h9,h10,h3,h4,h1,h2,h0])],[h4,h6]) ).
thf(13,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h9,h12,h9,h10,h3,h4,h1,h2,h0]),tab_bq(discharge,[h8,h4]),tab_bq(discharge,[h10,h6])],[h12,11,12,h8,h4,h10,h6]) ).
thf(14,plain,
$false,
inference(tab_be,[status(thm),assumptions([h9,h10,h3,h4,h1,h2,h0]),tab_be(discharge,[h7,h11]),tab_be(discharge,[h9,h12])],[h2,10,13,h7,h11,h9,h12]) ).
thf(15,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_bq(discharge,[h7,h8]),tab_bq(discharge,[h9,h10])],[h3,7,14,h7,h8,h9,h10]) ).
thf(16,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h4,h7,h11,h7,h8,h5,h6,h1,h2,h0])],[h8,h8]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h6,h7,h11,h7,h8,h5,h6,h1,h2,h0])],[h6,h6]) ).
thf(18,plain,
$false,
inference(tab_be,[status(thm),assumptions([h7,h11,h7,h8,h5,h6,h1,h2,h0]),tab_be(discharge,[h8,h4]),tab_be(discharge,[h10,h6])],[h11,16,17,h8,h4,h10,h6]) ).
thf(19,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h4,h9,h12,h7,h8,h5,h6,h1,h2,h0])],[h4,h6]) ).
thf(20,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h6,h9,h12,h7,h8,h5,h6,h1,h2,h0])],[h7,h9]) ).
thf(21,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h9,h12,h7,h8,h5,h6,h1,h2,h0]),tab_bq(discharge,[h8,h4]),tab_bq(discharge,[h10,h6])],[h12,19,20,h8,h4,h10,h6]) ).
thf(22,plain,
$false,
inference(tab_be,[status(thm),assumptions([h7,h8,h5,h6,h1,h2,h0]),tab_be(discharge,[h7,h11]),tab_be(discharge,[h9,h12])],[h2,18,21,h7,h11,h9,h12]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h4,h7,h11,h9,h10,h5,h6,h1,h2,h0])],[h7,h9]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h6,h7,h11,h9,h10,h5,h6,h1,h2,h0])],[h6,h6]) ).
thf(25,plain,
$false,
inference(tab_be,[status(thm),assumptions([h7,h11,h9,h10,h5,h6,h1,h2,h0]),tab_be(discharge,[h8,h4]),tab_be(discharge,[h10,h6])],[h11,23,24,h8,h4,h10,h6]) ).
thf(26,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h4,h9,h12,h9,h10,h5,h6,h1,h2,h0])],[h4,h6]) ).
thf(27,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h6,h9,h12,h9,h10,h5,h6,h1,h2,h0])],[h10,h10]) ).
thf(28,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h9,h12,h9,h10,h5,h6,h1,h2,h0]),tab_bq(discharge,[h8,h4]),tab_bq(discharge,[h10,h6])],[h12,26,27,h8,h4,h10,h6]) ).
thf(29,plain,
$false,
inference(tab_be,[status(thm),assumptions([h9,h10,h5,h6,h1,h2,h0]),tab_be(discharge,[h7,h11]),tab_be(discharge,[h9,h12])],[h2,25,28,h7,h11,h9,h12]) ).
thf(30,plain,
$false,
inference(tab_be,[status(thm),assumptions([h5,h6,h1,h2,h0]),tab_be(discharge,[h7,h8]),tab_be(discharge,[h9,h10])],[h5,22,29,h7,h8,h9,h10]) ).
thf(31,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h1,h2,h0]),tab_bq(discharge,[h3,h4]),tab_bq(discharge,[h5,h6])],[h1,15,30,h3,h4,h5,h6]) ).
thf(32,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,31,h1,h2]) ).
thf(0,theorem,
( ( ( sP2 = sP1 )
= sP3 )
=> ( sP2
= ( sP1 = sP3 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[32,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO079^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 10:47:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % SZS status Theorem
% 0.14/0.35 % Mode: mode213
% 0.14/0.35 % Inferences: 0
% 0.14/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------