TSTP Solution File: SYN375^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYN375^5 : 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 : n012.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 11:43:14 EDT 2022
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__6,type,
eigen__6: $i ).
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_cP,type,
cP: $i > $o ).
thf(ty_eigen__7,type,
eigen__7: $i ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_eigen__4,type,
eigen__4: $i ).
thf(ty_eigen__5,type,
eigen__5: $i ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_eigen__10,type,
eigen__10: $i ).
thf(ty_eigen__8,type,
eigen__8: $i ).
thf(ty_eigen__9,type,
eigen__9: $i ).
thf(sP1,plain,
( sP1
<=> ( cP @ eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cP @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cP @ eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( !! @ cP ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( cP @ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( cP @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i] :
~ ( cP @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(cX2126_BUG,conjecture,
( ~ ( ( sP4
=> ~ sP7 )
=> ~ ( ~ sP7
=> sP4 ) )
=> ( ( ~ sP7 )
= sP4 ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ( sP4
=> ~ sP7 )
=> ~ ( ~ sP7
=> sP4 ) )
=> ( ( ~ sP7 )
= sP4 ) ),
inference(assume_negation,[status(cth)],[cX2126_BUG]) ).
thf(h1,assumption,
~ ( ( sP4
=> ~ sP7 )
=> ~ ( ~ sP7
=> sP4 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
( ~ sP7 )
!= sP4,
introduced(assumption,[]) ).
thf(h3,assumption,
( sP4
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h4,assumption,
( ~ sP7
=> sP4 ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h6,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( cP @ eigen__0 ),
introduced(assumption,[]) ).
thf(h8,assumption,
sP7,
introduced(assumption,[]) ).
thf(h9,assumption,
sP4,
introduced(assumption,[]) ).
thf(h10,assumption,
sP2,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( cP @ eigen__2 ),
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP7
| ~ sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h10,h6,h9,h8,h7,h5,h3,h4,h1,h2,h0])],[1,h8,h10]) ).
thf(3,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h10,h6,h9,h8,h7,h5,h3,h4,h1,h2,h0]),tab_negall(discharge,[h11]),tab_negall(eigenvar,eigen__2)],[h9,2,h11]) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h9,h8,h7,h5,h3,h4,h1,h2,h0]),tab_negall(discharge,[h10]),tab_negall(eigenvar,eigen__1)],[h6,3,h10]) ).
thf(5,plain,
( ~ sP4
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP7
| ~ sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h5,h8,h7,h5,h3,h4,h1,h2,h0])],[5,6,h8,h5]) ).
thf(8,plain,
$false,
inference(tab_be,[status(thm),assumptions([h8,h7,h5,h3,h4,h1,h2,h0]),tab_be(discharge,[h6,h9]),tab_be(discharge,[h8,h5])],[h2,4,7,h6,h9,h8,h5]) ).
thf(h12,assumption,
cP @ eigen__4,
introduced(assumption,[]) ).
thf(h13,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(9,plain,
( ~ sP4
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h13,h12,h6,h9,h9,h7,h5,h3,h4,h1,h2,h0])],[9,h9,h13]) ).
thf(11,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h12,h6,h9,h9,h7,h5,h3,h4,h1,h2,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__5)],[h9,10,h13]) ).
thf(12,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h9,h9,h7,h5,h3,h4,h1,h2,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__4)],[h6,11,h12]) ).
thf(13,plain,
( ~ sP7
| ~ sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP4
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h5,h9,h7,h5,h3,h4,h1,h2,h0])],[13,14,h8,h5]) ).
thf(16,plain,
$false,
inference(tab_be,[status(thm),assumptions([h9,h7,h5,h3,h4,h1,h2,h0]),tab_be(discharge,[h6,h9]),tab_be(discharge,[h8,h5])],[h2,12,15,h6,h9,h8,h5]) ).
thf(17,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h4,8,16,h8,h9]) ).
thf(18,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h3,h4,h1,h2,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__0)],[h5,17,h7]) ).
thf(h14,assumption,
cP @ eigen__6,
introduced(assumption,[]) ).
thf(h15,assumption,
sP1,
introduced(assumption,[]) ).
thf(h16,assumption,
~ ( cP @ eigen__8 ),
introduced(assumption,[]) ).
thf(19,plain,
( ~ sP7
| ~ sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h16,h15,h6,h9,h8,h14,h6,h3,h4,h1,h2,h0])],[19,h8,h15]) ).
thf(21,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h15,h6,h9,h8,h14,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h16]),tab_negall(eigenvar,eigen__8)],[h9,20,h16]) ).
thf(22,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h9,h8,h14,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h15]),tab_negall(eigenvar,eigen__7)],[h6,21,h15]) ).
thf(23,plain,
( ~ sP7
| ~ sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP4
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(25,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h5,h8,h14,h6,h3,h4,h1,h2,h0])],[23,24,h8,h5]) ).
thf(26,plain,
$false,
inference(tab_be,[status(thm),assumptions([h8,h14,h6,h3,h4,h1,h2,h0]),tab_be(discharge,[h6,h9]),tab_be(discharge,[h8,h5])],[h2,22,25,h6,h9,h8,h5]) ).
thf(h17,assumption,
cP @ eigen__9,
introduced(assumption,[]) ).
thf(h18,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(27,plain,
( ~ sP4
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h18,h17,h6,h9,h9,h14,h6,h3,h4,h1,h2,h0])],[27,h9,h18]) ).
thf(29,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h17,h6,h9,h9,h14,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h18]),tab_negall(eigenvar,eigen__10)],[h9,28,h18]) ).
thf(30,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h9,h9,h14,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__9)],[h6,29,h17]) ).
thf(31,plain,
( ~ sP7
| ~ sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP4
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(33,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h5,h9,h14,h6,h3,h4,h1,h2,h0])],[31,32,h8,h5]) ).
thf(34,plain,
$false,
inference(tab_be,[status(thm),assumptions([h9,h14,h6,h3,h4,h1,h2,h0]),tab_be(discharge,[h6,h9]),tab_be(discharge,[h8,h5])],[h2,30,33,h6,h9,h8,h5]) ).
thf(35,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h4,26,34,h8,h9]) ).
thf(36,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__6)],[h6,35,h14]) ).
thf(37,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h3,18,36,h5,h6]) ).
thf(38,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,37,h3,h4]) ).
thf(39,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,38,h1,h2]) ).
thf(0,theorem,
( ~ ( ( sP4
=> ~ sP7 )
=> ~ ( ~ sP7
=> sP4 ) )
=> ( ( ~ sP7 )
= sP4 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[39,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN375^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Tue Jul 12 04:24:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % Mode: mode213
% 0.20/0.40 % Inferences: 43
% 0.20/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------