TSTP Solution File: SYO526^1 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO526^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n029.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 : 300s
% DateTime : Fri Sep 1 04:47:22 EDT 2023
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_b,type,
b: $o ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_f,type,
f: $i > $o ).
thf(ty_a,type,
a: $o ).
thf(ty_g,type,
g: $i > $o ).
thf(sP1,plain,
( sP1
<=> a ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
( ( f @ X1 )
= sP1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( f @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( g @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i] :
( ( f @ X1 )
= ( g @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( sP3 = sP1 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( f = g ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> b ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( sP3 = sP4 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( f
= ( ^ [X1: $i] : sP1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(gb,conjecture,
( g
= ( ^ [X1: $i] : sP8 ) ) ).
thf(h0,negated_conjecture,
( g
!= ( ^ [X1: $i] : sP8 ) ),
inference(assume_negation,[status(cth)],[gb]) ).
thf(h1,assumption,
~ ! [X1: $i] :
( ( g @ X1 )
= sP8 ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP4 != sP8,
introduced(assumption,[]) ).
thf(h3,assumption,
sP4,
introduced(assumption,[]) ).
thf(h4,assumption,
sP8,
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h6,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h7,assumption,
sP1,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h4,h3,h4,h2,h1,h0])],[h4,h4]) ).
thf(2,plain,
( ~ sP9
| sP3
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP6
| ~ sP3
| sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP2
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP5
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP10
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP7
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(fa,axiom,
sP10 ).
thf(fg,axiom,
sP7 ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h6,h3,h4,h2,h1,h0])],[2,3,4,5,6,7,h3,fa,fg,h8]) ).
thf(ab,axiom,
sP1 = sP8 ).
thf(9,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_bq(discharge,[h7,h4]),tab_bq(discharge,[h8,h6])],[ab,1,8,h7,h4,h8,h6]) ).
thf(10,plain,
( ~ sP9
| ~ sP3
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP5
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP6
| sP3
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP2
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP10
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP7
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h4,h5,h6,h2,h1,h0])],[10,11,12,13,14,15,h5,fa,fg,h7]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h6,h5,h6,h2,h1,h0])],[h6,h6]) ).
thf(18,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h5,h6,h2,h1,h0]),tab_bq(discharge,[h7,h4]),tab_bq(discharge,[h8,h6])],[ab,16,17,h7,h4,h8,h6]) ).
thf(19,plain,
$false,
inference(tab_be,[status(thm),assumptions([h2,h1,h0]),tab_be(discharge,[h3,h4]),tab_be(discharge,[h5,h6])],[h2,9,18,h3,h4,h5,h6]) ).
thf(20,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__0)],[h1,19,h2]) ).
thf(21,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h0]),tab_fe(discharge,[h1])],[h0,20,h1]) ).
thf(0,theorem,
( g
= ( ^ [X1: $i] : sP8 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[21,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO526^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 04:44:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % Mode: cade22grackle2xfee4
% 0.20/0.40 % Steps: 31
% 0.20/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------