TSTP Solution File: SYO148^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO148^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n001.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 04:45:29 EDT 2023
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_cZ,type,
cZ: a > $o ).
thf(ty_eigen__0,type,
eigen__0: a ).
thf(ty_cY,type,
cY: a > $o ).
thf(ty_cX,type,
cX: a > $o ).
thf(sP1,plain,
( sP1
<=> ( cY @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ~ ( cX @ eigen__0 ) )
= ( sP1
= ( cZ @ eigen__0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( sP1
= ( cZ @ eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( cX @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( cZ @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: a] :
( ( ~ ( cX @ X1 ) )
= ( ( cY @ X1 )
= ( cZ @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(cBOOL25,conjecture,
( sP6
=> ( cX
= ( ^ [X1: a] :
( ( cY @ X1 )
!= ( cZ @ X1 ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ( sP6
=> ( cX
= ( ^ [X1: a] :
( ( cY @ X1 )
!= ( cZ @ X1 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cBOOL25]) ).
thf(h1,assumption,
sP6,
introduced(assumption,[]) ).
thf(h2,assumption,
( cX
!= ( ^ [X1: a] :
( ( cY @ X1 )
!= ( cZ @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ! [X1: a] :
( ( cX @ X1 )
= ( ( cY @ X1 )
!= ( cZ @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
( sP4 != ~ sP3 ),
introduced(assumption,[]) ).
thf(h5,assumption,
sP4,
introduced(assumption,[]) ).
thf(h6,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h8,assumption,
sP3,
introduced(assumption,[]) ).
thf(h9,assumption,
sP1,
introduced(assumption,[]) ).
thf(h10,assumption,
sP5,
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h12,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(1,plain,
( sP3
| ~ sP1
| ~ sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP2
| ~ sP4
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP6
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h9,h10,h5,h6,h4,h3,h1,h2,h0])],[1,2,3,h1,h5,h9,h10]) ).
thf(5,plain,
( sP3
| sP1
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP2
| ~ sP4
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP6
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h12,h5,h6,h4,h3,h1,h2,h0])],[5,6,7,h1,h5,h11,h12]) ).
thf(9,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h5,h6,h4,h3,h1,h2,h0]),tab_bq(discharge,[h9,h10]),tab_bq(discharge,[h11,h12])],[h6,4,8,h9,h10,h11,h12]) ).
thf(10,plain,
( ~ sP3
| ~ sP1
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP2
| sP4
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP6
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h9,h10,h7,h8,h4,h3,h1,h2,h0])],[10,11,12,h1,h7,h9,h10]) ).
thf(14,plain,
( ~ sP3
| sP1
| ~ sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP2
| sP4
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP6
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(17,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h12,h7,h8,h4,h3,h1,h2,h0])],[14,15,16,h1,h7,h11,h12]) ).
thf(18,plain,
$false,
inference(tab_be,[status(thm),assumptions([h7,h8,h4,h3,h1,h2,h0]),tab_be(discharge,[h9,h10]),tab_be(discharge,[h11,h12])],[h8,13,17,h9,h10,h11,h12]) ).
thf(19,plain,
$false,
inference(tab_be,[status(thm),assumptions([h4,h3,h1,h2,h0]),tab_be(discharge,[h5,h6]),tab_be(discharge,[h7,h8])],[h4,9,18,h5,h6,h7,h8]) ).
thf(20,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h1,h2,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__0)],[h3,19,h4]) ).
thf(21,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h1,h2,h0]),tab_fe(discharge,[h3])],[h2,20,h3]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,21,h1,h2]) ).
thf(0,theorem,
( sP6
=> ( cX
= ( ^ [X1: a] :
( ( cY @ X1 )
!= ( cZ @ X1 ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[22,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO148^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n001.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 03:51:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % Mode: cade22grackle2xfee4
% 0.19/0.39 % Steps: 36
% 0.19/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------