TSTP Solution File: SYO085^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO085^5 : 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 : n023.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 19:30:13 EDT 2022
% Result : Theorem 0.19s 0.35s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $o ).
thf(ty_d,type,
d: $o ).
thf(ty_s,type,
s: $o ).
thf(ty_b,type,
b: $o ).
thf(ty_c,type,
c: $o ).
thf(sP1,plain,
( sP1
<=> c ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> s ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> b ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> d ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> a ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(cCOM_DMG02,conjecture,
( ( ~ ( ~ ( sP1
=> ~ sP4 )
=> ( sP5
=> ~ sP3 ) )
=> sP2 )
=> ( ~ ( ~ sP2
=> ( sP5
=> ~ sP3 ) )
=> ( sP1
=> ~ sP4 ) ) ) ).
thf(h0,negated_conjecture,
~ ( ( ~ ( ~ ( sP1
=> ~ sP4 )
=> ( sP5
=> ~ sP3 ) )
=> sP2 )
=> ( ~ ( ~ sP2
=> ( sP5
=> ~ sP3 ) )
=> ( sP1
=> ~ sP4 ) ) ),
inference(assume_negation,[status(cth)],[cCOM_DMG02]) ).
thf(h1,assumption,
( ~ ( ~ ( sP1
=> ~ sP4 )
=> ( sP5
=> ~ sP3 ) )
=> sP2 ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( ~ ( ~ sP2
=> ( sP5
=> ~ sP3 ) )
=> ( sP1
=> ~ sP4 ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
( ~ ( sP1
=> ~ sP4 )
=> ( sP5
=> ~ sP3 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP2,
introduced(assumption,[]) ).
thf(h5,assumption,
( sP1
=> ~ sP4 ),
introduced(assumption,[]) ).
thf(h6,assumption,
( sP5
=> ~ sP3 ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ~ sP2
=> ( sP5
=> ~ sP3 ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( sP1
=> ~ sP4 ),
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( sP5
=> ~ sP3 ),
introduced(assumption,[]) ).
thf(h13,assumption,
sP5,
introduced(assumption,[]) ).
thf(h14,assumption,
sP3,
introduced(assumption,[]) ).
thf(h15,assumption,
sP1,
introduced(assumption,[]) ).
thf(h16,assumption,
sP4,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h15,h7]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h10,1,h15,h16]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h12,2,h13,h14]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,3,h11,h12]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h2,4,h9,h10]) ).
thf(6,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h8,h5,h3,h1,h2,h0])],[h16,h8]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h10,6,h15,h16]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h12,7,h13,h14]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,8,h11,h12]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h2,9,h9,h10]) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h3,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h5,5,10,h7,h8]) ).
thf(h17,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h18,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h17,h6,h3,h1,h2,h0])],[h13,h17]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h17,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h10,12,h15,h16]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h17,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h12,13,h13,h14]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h17,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,14,h11,h12]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h2,15,h9,h10]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h18,h6,h3,h1,h2,h0])],[h14,h18]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h18,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h10,17,h15,h16]) ).
thf(19,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h18,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h12,18,h13,h14]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h18,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,19,h11,h12]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h2,20,h9,h10]) ).
thf(22,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h3,h1,h2,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h18])],[h6,16,21,h17,h18]) ).
thf(23,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h3,11,22,h5,h6]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h4,h1,h2,h0])],[h4,h11]) ).
thf(25,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h10,24,h15,h16]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h12,25,h13,h14]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,26,h11,h12]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h2,27,h9,h10]) ).
thf(29,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,23,28,h3,h4]) ).
thf(30,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,29,h1,h2]) ).
thf(0,theorem,
( ( ~ ( ~ ( sP1
=> ~ sP4 )
=> ( sP5
=> ~ sP3 ) )
=> sP2 )
=> ( ~ ( ~ sP2
=> ( sP5
=> ~ sP3 ) )
=> ( sP1
=> ~ sP4 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[30,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO085^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 22:13:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.35 % SZS status Theorem
% 0.19/0.35 % Mode: mode213
% 0.19/0.35 % Inferences: 0
% 0.19/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------