TSTP Solution File: SYO499^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO499^1 : 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 : n024.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 19:32:58 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $o ).
thf(ty_g1,type,
g1: $o > $i ).
thf(ty_b,type,
b: $o ).
thf(ty_c,type,
c: $o ).
thf(ty_f2,type,
f2: $o > $i ).
thf(ty_g,type,
g: $o > $i ).
thf(ty_f1,type,
f1: $o > $i ).
thf(ty_g2,type,
g2: $o > $i ).
thf(ty_f,type,
f: $o > $i ).
thf(sP1,plain,
( sP1
<=> ( ( f2 @ b )
= ( g2 @ c ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( f1 @ c )
= ( f1 @ a ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( b = a ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( sP3
=> ( a = b ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> c ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( g2 @ b )
= ( g2 @ sP5 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( a = b ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( f @ b )
= ( g @ a ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( g @ a )
= ( g @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> a ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( sP5 = sP10 )
=> ( sP10 = sP5 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( sP10 = sP5 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( b = sP5 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( f2 @ sP5 )
= ( f2 @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: $o] :
( ( sP5 = X1 )
=> ( X1 = sP5 ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( f @ sP10 )
= ( g @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: $o] :
( ( b = X1 )
=> ( X1 = b ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> b ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ( f1 @ sP5 )
= ( g1 @ sP10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( sP5 = sP19 ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ( f2 @ sP5 )
= ( g2 @ sP19 ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( sP21
=> sP13 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ( f @ sP19 )
= ( f @ sP10 ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( sP5 = sP10 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( ( f1 @ sP10 )
= ( g1 @ sP5 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( ( g1 @ sP10 )
= ( g1 @ sP5 ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(con,conjecture,
( ~ ( ~ ( ~ ( ~ ( ~ sP16
=> ~ sP8 )
=> sP26 )
=> ~ sP20 )
=> sP1 )
=> ~ sP22 ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( ~ ( ~ ( ~ sP16
=> ~ sP8 )
=> sP26 )
=> ~ sP20 )
=> sP1 )
=> ~ sP22 ),
inference(assume_negation,[status(cth)],[con]) ).
thf(h1,assumption,
~ ( ~ ( ~ ( ~ ( ~ sP16
=> ~ sP8 )
=> sP26 )
=> ~ sP20 )
=> sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP22,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ ( ~ ( ~ sP16
=> ~ sP8 )
=> sP26 )
=> ~ sP20 ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( ~ ( ~ sP16
=> ~ sP8 )
=> sP26 ),
introduced(assumption,[]) ).
thf(h6,assumption,
sP20,
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ~ sP16
=> ~ sP8 ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP26,
introduced(assumption,[]) ).
thf(h9,assumption,
~ sP16,
introduced(assumption,[]) ).
thf(h10,assumption,
sP8,
introduced(assumption,[]) ).
thf(1,plain,
( sP3
| ~ sP19
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP3
| sP19
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP4
| ~ sP3
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP17
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( sP25
| ~ sP5
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( sP25
| sP5
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP11
| ~ sP25
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP15
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( sP21
| ~ sP5
| ~ sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( sP21
| sP5
| sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP18
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP23
| ~ sP21
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP15
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP18
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
sP18,
inference(eq_sym,[status(thm)],]) ).
thf(16,plain,
( sP9
| ~ sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( sP24
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( sP27
| ~ sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( sP2
| ~ sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( sP6
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( sP14
| ~ sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP8
| sP16
| ~ sP24
| ~ sP9 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP20
| sP26
| ~ sP2
| ~ sP27 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP22
| sP1
| ~ sP14
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(25,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,h9,h10,h8,h6,h4,h2]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,25,h9,h10]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h5,26,h7,h8]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,27,h5,h6]) ).
thf(29,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,28,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,
( ~ ( ~ ( ~ ( ~ ( ~ sP16
=> ~ sP8 )
=> sP26 )
=> ~ sP20 )
=> sP1 )
=> ~ sP22 ),
inference(contra,[status(thm),contra(discharge,[h0])],[30,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO499^1 : 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
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 9 08:39:28 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.42 % SZS status Theorem
% 0.18/0.42 % Mode: mode213
% 0.18/0.42 % Inferences: 131
% 0.18/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------