TSTP Solution File: SYN356^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYN356^5 : 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 : n021.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 11:43:04 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cR,type,
cR: $i > $i > $o ).
thf(ty_cB,type,
cB: $i ).
thf(ty_cA,type,
cA: $i ).
thf(ty_cQ,type,
cQ: $i > $i > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i,X2: $i] :
( ( cQ @ X1 @ X2 )
=> ( cQ @ X1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
( ( cR @ cA @ X1 )
=> ~ ( ( cR @ X1 @ cA )
=> ~ ( cQ @ cA @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( cR @ cA @ cB )
=> ~ ( cQ @ cB @ cA ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( cR @ cB @ cA )
=> ~ ( cQ @ cA @ cB ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( cR @ cA @ cB )
=> ~ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
( ( cQ @ cB @ X1 )
=> ( cQ @ cB @ cB ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( cQ @ cA @ cB )
=> ( cQ @ cA @ cA ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cQ @ cA @ cB ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( cR @ cB @ cA )
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( cQ @ cB @ cA ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i,X2: $i] :
( ( cR @ X1 @ X2 )
=> ~ ( ( cR @ X2 @ X1 )
=> ~ ( cQ @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( cQ @ cA @ cA ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( cR @ cB @ cA ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i] :
( ( cR @ cB @ X1 )
=> ~ ( ( cR @ X1 @ cB )
=> ~ ( cQ @ cB @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( cQ @ cB @ cB ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i] :
( ( cQ @ cA @ X1 )
=> sP12 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( cR @ cA @ cB ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( sP10
=> sP15 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(cLX2107,conjecture,
( ~ ( ~ ( sP17
=> ~ sP11 )
=> ~ sP1 )
=> ~ ( sP12
=> ~ sP15 ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( sP17
=> ~ sP11 )
=> ~ sP1 )
=> ~ ( sP12
=> ~ sP15 ) ),
inference(assume_negation,[status(cth)],[cLX2107]) ).
thf(h1,assumption,
~ ( ~ ( sP17
=> ~ sP11 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
( sP12
=> ~ sP15 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP17
=> ~ sP11 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
sP17,
introduced(assumption,[]) ).
thf(h6,assumption,
sP11,
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP12,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP15,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP1
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP16
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP7
| ~ sP8
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP4
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP11
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP2
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP5
| ~ sP17
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h5,h6,h3,h4,h1,h2,h0])],[1,2,3,4,5,6,7,h5,h6,h4,h7]) ).
thf(9,plain,
( ~ sP1
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP6
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP18
| ~ sP10
| sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( sP4
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( sP3
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP11
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP2
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP5
| ~ sP17
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP11
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP14
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP9
| ~ sP13
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h5,h6,h3,h4,h1,h2,h0])],[9,10,11,12,13,14,15,16,17,18,19,h5,h6,h4,h8]) ).
thf(21,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h2,8,20,h7,h8]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,21,h5,h6]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,22,h3,h4]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,23,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( sP17
=> ~ sP11 )
=> ~ sP1 )
=> ~ ( sP12
=> ~ sP15 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[24,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN356^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n021.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 : Tue Jul 12 07:19:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % SZS status Theorem
% 0.12/0.36 % Mode: mode213
% 0.12/0.36 % Inferences: 23
% 0.12/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------