TSTP Solution File: SYO088^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO088^5 : 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 : n008.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 19:30:14 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $o ).
thf(ty_p,type,
p: $o ).
thf(ty_d,type,
d: $o ).
thf(ty_s,type,
s: $o ).
thf(ty_b,type,
b: $o ).
thf(ty_t,type,
t: $o ).
thf(ty_c,type,
c: $o ).
thf(sP1,plain,
( sP1
<=> s ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> p ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> b ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> a ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> d ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> t ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> c ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(cARR_COM_DMG5,conjecture,
( ( ( sP2
=> ~ ( ~ ( ~ ( sP4
=> ~ sP3 )
=> ~ sP7 )
=> ~ sP5 ) )
=> ( sP1
=> sP6 ) )
=> ( ( ( ~ ( sP4
=> ~ sP3 )
=> ( sP7
=> ~ sP5 ) )
=> ~ sP2 )
=> ( sP1
=> sP6 ) ) ) ).
thf(h0,negated_conjecture,
~ ( ( ( sP2
=> ~ ( ~ ( ~ ( sP4
=> ~ sP3 )
=> ~ sP7 )
=> ~ sP5 ) )
=> ( sP1
=> sP6 ) )
=> ( ( ( ~ ( sP4
=> ~ sP3 )
=> ( sP7
=> ~ sP5 ) )
=> ~ sP2 )
=> ( sP1
=> sP6 ) ) ),
inference(assume_negation,[status(cth)],[cARR_COM_DMG5]) ).
thf(h1,assumption,
( ( sP2
=> ~ ( ~ ( ~ ( sP4
=> ~ sP3 )
=> ~ sP7 )
=> ~ sP5 ) )
=> ( sP1
=> sP6 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( ( ( ~ ( sP4
=> ~ sP3 )
=> ( sP7
=> ~ sP5 ) )
=> ~ sP2 )
=> ( sP1
=> sP6 ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP2
=> ~ ( ~ ( ~ ( sP4
=> ~ sP3 )
=> ~ sP7 )
=> ~ sP5 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
( sP1
=> sP6 ),
introduced(assumption,[]) ).
thf(h5,assumption,
sP2,
introduced(assumption,[]) ).
thf(h6,assumption,
( ~ ( ~ ( sP4
=> ~ sP3 )
=> ~ sP7 )
=> ~ sP5 ),
introduced(assumption,[]) ).
thf(h7,assumption,
( ~ ( sP4
=> ~ sP3 )
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h9,assumption,
( sP4
=> ~ sP3 ),
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h12,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h13,assumption,
( ( ~ ( sP4
=> ~ sP3 )
=> ( sP7
=> ~ sP5 ) )
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h14,assumption,
~ ( sP1
=> sP6 ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( ~ ( sP4
=> ~ sP3 )
=> ( sP7
=> ~ sP5 ) ),
introduced(assumption,[]) ).
thf(h16,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h17,assumption,
~ ( sP4
=> ~ sP3 ),
introduced(assumption,[]) ).
thf(h18,assumption,
~ ( sP7
=> ~ sP5 ),
introduced(assumption,[]) ).
thf(h19,assumption,
sP4,
introduced(assumption,[]) ).
thf(h20,assumption,
sP3,
introduced(assumption,[]) ).
thf(h21,assumption,
sP7,
introduced(assumption,[]) ).
thf(h22,assumption,
sP5,
introduced(assumption,[]) ).
thf(h23,assumption,
sP1,
introduced(assumption,[]) ).
thf(h24,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h13,h14,h11,h9,h7,h5,h6,h3,h1,h2,h0])],[h19,h11]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h13,h14,h11,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,1,h23,h24]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h13,h14,h11,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h18,2,h21,h22]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h13,h14,h11,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,3,h19,h20]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h11,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,4,h17,h18]) ).
thf(6,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h16,h13,h14,h11,h9,h7,h5,h6,h3,h1,h2,h0])],[h5,h16]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h13,h14,h11,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,6,h23,h24]) ).
thf(8,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h11,h9,h7,h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,5,7,h15,h16]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h2,8,h13,h14]) ).
thf(10,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h13,h14,h12,h9,h7,h5,h6,h3,h1,h2,h0])],[h20,h12]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h13,h14,h12,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,10,h23,h24]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h13,h14,h12,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h18,11,h21,h22]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h13,h14,h12,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,12,h19,h20]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h12,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,13,h17,h18]) ).
thf(15,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h16,h13,h14,h12,h9,h7,h5,h6,h3,h1,h2,h0])],[h5,h16]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h13,h14,h12,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,15,h23,h24]) ).
thf(17,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h12,h9,h7,h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,14,16,h15,h16]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h9,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h2,17,h13,h14]) ).
thf(19,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[h9,9,18,h11,h12]) ).
thf(20,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h13,h14,h10,h7,h5,h6,h3,h1,h2,h0])],[h21,h10]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h13,h14,h10,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,20,h23,h24]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h13,h14,h10,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h18,21,h21,h22]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h13,h14,h10,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,22,h19,h20]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h10,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,23,h17,h18]) ).
thf(25,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h16,h13,h14,h10,h7,h5,h6,h3,h1,h2,h0])],[h5,h16]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h13,h14,h10,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,25,h23,h24]) ).
thf(27,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h10,h7,h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,24,26,h15,h16]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h2,27,h13,h14]) ).
thf(29,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[h7,19,28,h9,h10]) ).
thf(30,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h13,h14,h8,h5,h6,h3,h1,h2,h0])],[h22,h8]) ).
thf(31,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h13,h14,h8,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,30,h23,h24]) ).
thf(32,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h13,h14,h8,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h18,31,h21,h22]) ).
thf(33,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h13,h14,h8,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,32,h19,h20]) ).
thf(34,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h8,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,33,h17,h18]) ).
thf(35,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h16,h13,h14,h8,h5,h6,h3,h1,h2,h0])],[h5,h16]) ).
thf(36,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h13,h14,h8,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,35,h23,h24]) ).
thf(37,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h8,h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,34,36,h15,h16]) ).
thf(38,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h2,37,h13,h14]) ).
thf(39,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h6,29,38,h7,h8]) ).
thf(40,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,39,h5,h6]) ).
thf(h25,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h26,assumption,
sP6,
introduced(assumption,[]) ).
thf(41,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h13,h14,h25,h4,h1,h2,h0])],[h23,h25]) ).
thf(42,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h13,h14,h25,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,41,h23,h24]) ).
thf(43,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h13,h14,h25,h4,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h18,42,h21,h22]) ).
thf(44,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h13,h14,h25,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,43,h19,h20]) ).
thf(45,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h25,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,44,h17,h18]) ).
thf(46,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h16,h13,h14,h25,h4,h1,h2,h0])],[h23,h25]) ).
thf(47,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h13,h14,h25,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,46,h23,h24]) ).
thf(48,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h25,h4,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,45,47,h15,h16]) ).
thf(49,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h25,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h2,48,h13,h14]) ).
thf(50,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h13,h14,h26,h4,h1,h2,h0])],[h26,h24]) ).
thf(51,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h13,h14,h26,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,50,h23,h24]) ).
thf(52,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h13,h14,h26,h4,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h18,51,h21,h22]) ).
thf(53,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h13,h14,h26,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,52,h19,h20]) ).
thf(54,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h26,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,53,h17,h18]) ).
thf(55,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h23,h24,h16,h13,h14,h26,h4,h1,h2,h0])],[h26,h24]) ).
thf(56,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h13,h14,h26,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h14,55,h23,h24]) ).
thf(57,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h26,h4,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,54,56,h15,h16]) ).
thf(58,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h26,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h2,57,h13,h14]) ).
thf(59,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h4,h1,h2,h0]),tab_imp(discharge,[h25]),tab_imp(discharge,[h26])],[h4,49,58,h25,h26]) ).
thf(60,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,40,59,h3,h4]) ).
thf(61,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,60,h1,h2]) ).
thf(0,theorem,
( ( ( sP2
=> ~ ( ~ ( ~ ( sP4
=> ~ sP3 )
=> ~ sP7 )
=> ~ sP5 ) )
=> ( sP1
=> sP6 ) )
=> ( ( ( ~ ( sP4
=> ~ sP3 )
=> ( sP7
=> ~ sP5 ) )
=> ~ sP2 )
=> ( sP1
=> sP6 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[61,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO088^5 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n008.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 : 600
% 0.13/0.34 % DateTime : Sat Jul 9 11:23:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % Mode: mode213
% 0.13/0.36 % Inferences: 0
% 0.13/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------