TSTP Solution File: SEU974^5 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEU974^5 : 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 : 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 : 300s
% DateTime : Thu Aug 31 17:38:03 EDT 2023
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_cR,type,
cR: a > a ).
thf(ty_eigen__1,type,
eigen__1: a ).
thf(ty_cZ,type,
cZ: a ).
thf(ty_eigen__0,type,
eigen__0: a ).
thf(ty_cP,type,
cP: a > a > a ).
thf(ty_eigen__2,type,
eigen__2: a > $o ).
thf(ty_cL,type,
cL: a > a ).
thf(sP1,plain,
( sP1
<=> ! [X1: a,X2: a] :
( ( eigen__2 @ ( cP @ X1 @ X2 ) )
=> ~ ( ~ ( ( ( X2 = cZ )
=> ( X1 = cZ ) )
=> ~ ( eigen__2 @ ( cP @ ( cL @ X1 ) @ ( cL @ X2 ) ) ) )
=> ~ ( eigen__2 @ ( cP @ ( cR @ X1 ) @ ( cR @ X2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__2 @ ( cP @ ( cR @ eigen__0 ) @ ( cR @ eigen__1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ~ ( ( ( eigen__1 = cZ )
=> ( eigen__0 = cZ ) )
=> ~ ( eigen__2 @ ( cP @ ( cL @ eigen__0 ) @ ( cL @ eigen__1 ) ) ) )
=> ~ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: a] :
( ( eigen__2 @ ( cP @ eigen__0 @ X1 ) )
=> ~ ( ~ ( ( ( X1 = cZ )
=> ( eigen__0 = cZ ) )
=> ~ ( eigen__2 @ ( cP @ ( cL @ eigen__0 ) @ ( cL @ X1 ) ) ) )
=> ~ ( eigen__2 @ ( cP @ ( cR @ eigen__0 ) @ ( cR @ X1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( eigen__2 @ ( cP @ eigen__0 @ eigen__1 ) )
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( eigen__2 @ ( cP @ eigen__0 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: a > $o] :
( ( X1 @ ( cP @ ( cR @ eigen__0 ) @ ( cR @ eigen__1 ) ) )
=> ~ ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ~ ( ~ ( ( ( X3 = cZ )
=> ( X2 = cZ ) )
=> ~ ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) )
=> ~ ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( sP2
=> ~ sP1 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(cPU_LEM2C_pme,conjecture,
( ~ ( ~ ( ~ ( ~ ( ~ ( ( ( cL @ cZ )
= cZ )
=> ( ( cR @ cZ )
!= cZ ) )
=> ~ ! [X1: a,X2: a] :
( ( cL @ ( cP @ X1 @ X2 ) )
= X1 ) )
=> ~ ! [X1: a,X2: a] :
( ( cR @ ( cP @ X1 @ X2 ) )
= X2 ) )
=> ~ ! [X1: a] :
( ( X1 != cZ )
= ( X1
= ( cP @ ( cL @ X1 ) @ ( cR @ X1 ) ) ) ) )
=> ~ ! [X1: a > $o] :
( ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ~ ( ~ ( ( ( X2 = cZ )
= ( X3 = cZ ) )
=> ~ ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) )
=> ~ ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) ) ) )
=> ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ( X2 = X3 ) ) ) )
=> ! [X1: a,X2: a] :
( ~ ! [X3: a > $o] :
( ( X3 @ ( cP @ X1 @ X2 ) )
=> ~ ! [X4: a,X5: a] :
( ( X3 @ ( cP @ X4 @ X5 ) )
=> ~ ( ~ ( ( ( X5 = cZ )
=> ( X4 = cZ ) )
=> ~ ( X3 @ ( cP @ ( cL @ X4 ) @ ( cL @ X5 ) ) ) )
=> ~ ( X3 @ ( cP @ ( cR @ X4 ) @ ( cR @ X5 ) ) ) ) ) )
=> ~ ! [X3: a > $o] :
( ( X3 @ ( cP @ ( cR @ X1 ) @ ( cR @ X2 ) ) )
=> ~ ! [X4: a,X5: a] :
( ( X3 @ ( cP @ X4 @ X5 ) )
=> ~ ( ~ ( ( ( X5 = cZ )
=> ( X4 = cZ ) )
=> ~ ( X3 @ ( cP @ ( cL @ X4 ) @ ( cL @ X5 ) ) ) )
=> ~ ( X3 @ ( cP @ ( cR @ X4 ) @ ( cR @ X5 ) ) ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ( cL @ cZ )
= cZ )
=> ( ( cR @ cZ )
!= cZ ) )
=> ~ ! [X1: a,X2: a] :
( ( cL @ ( cP @ X1 @ X2 ) )
= X1 ) )
=> ~ ! [X1: a,X2: a] :
( ( cR @ ( cP @ X1 @ X2 ) )
= X2 ) )
=> ~ ! [X1: a] :
( ( X1 != cZ )
= ( X1
= ( cP @ ( cL @ X1 ) @ ( cR @ X1 ) ) ) ) )
=> ~ ! [X1: a > $o] :
( ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ~ ( ~ ( ( ( X2 = cZ )
= ( X3 = cZ ) )
=> ~ ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) )
=> ~ ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) ) ) )
=> ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ( X2 = X3 ) ) ) )
=> ! [X1: a,X2: a] :
( ~ ! [X3: a > $o] :
( ( X3 @ ( cP @ X1 @ X2 ) )
=> ~ ! [X4: a,X5: a] :
( ( X3 @ ( cP @ X4 @ X5 ) )
=> ~ ( ~ ( ( ( X5 = cZ )
=> ( X4 = cZ ) )
=> ~ ( X3 @ ( cP @ ( cL @ X4 ) @ ( cL @ X5 ) ) ) )
=> ~ ( X3 @ ( cP @ ( cR @ X4 ) @ ( cR @ X5 ) ) ) ) ) )
=> ~ ! [X3: a > $o] :
( ( X3 @ ( cP @ ( cR @ X1 ) @ ( cR @ X2 ) ) )
=> ~ ! [X4: a,X5: a] :
( ( X3 @ ( cP @ X4 @ X5 ) )
=> ~ ( ~ ( ( ( X5 = cZ )
=> ( X4 = cZ ) )
=> ~ ( X3 @ ( cP @ ( cL @ X4 ) @ ( cL @ X5 ) ) ) )
=> ~ ( X3 @ ( cP @ ( cR @ X4 ) @ ( cR @ X5 ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cPU_LEM2C_pme]) ).
thf(h1,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ( ( cL @ cZ )
= cZ )
=> ( ( cR @ cZ )
!= cZ ) )
=> ~ ! [X1: a,X2: a] :
( ( cL @ ( cP @ X1 @ X2 ) )
= X1 ) )
=> ~ ! [X1: a,X2: a] :
( ( cR @ ( cP @ X1 @ X2 ) )
= X2 ) )
=> ~ ! [X1: a] :
( ( X1 != cZ )
= ( X1
= ( cP @ ( cL @ X1 ) @ ( cR @ X1 ) ) ) ) )
=> ~ ! [X1: a > $o] :
( ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ~ ( ~ ( ( ( X2 = cZ )
= ( X3 = cZ ) )
=> ~ ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) )
=> ~ ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) ) ) )
=> ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ( X2 = X3 ) ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: a,X2: a] :
( ~ ! [X3: a > $o] :
( ( X3 @ ( cP @ X1 @ X2 ) )
=> ~ ! [X4: a,X5: a] :
( ( X3 @ ( cP @ X4 @ X5 ) )
=> ~ ( ~ ( ( ( X5 = cZ )
=> ( X4 = cZ ) )
=> ~ ( X3 @ ( cP @ ( cL @ X4 ) @ ( cL @ X5 ) ) ) )
=> ~ ( X3 @ ( cP @ ( cR @ X4 ) @ ( cR @ X5 ) ) ) ) ) )
=> ~ ! [X3: a > $o] :
( ( X3 @ ( cP @ ( cR @ X1 ) @ ( cR @ X2 ) ) )
=> ~ ! [X4: a,X5: a] :
( ( X3 @ ( cP @ X4 @ X5 ) )
=> ~ ( ~ ( ( ( X5 = cZ )
=> ( X4 = cZ ) )
=> ~ ( X3 @ ( cP @ ( cL @ X4 ) @ ( cL @ X5 ) ) ) )
=> ~ ( X3 @ ( cP @ ( cR @ X4 ) @ ( cR @ X5 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ ( ~ ( ~ ( ( ( cL @ cZ )
= cZ )
=> ( ( cR @ cZ )
!= cZ ) )
=> ~ ! [X1: a,X2: a] :
( ( cL @ ( cP @ X1 @ X2 ) )
= X1 ) )
=> ~ ! [X1: a,X2: a] :
( ( cR @ ( cP @ X1 @ X2 ) )
= X2 ) )
=> ~ ! [X1: a] :
( ( X1 != cZ )
= ( X1
= ( cP @ ( cL @ X1 ) @ ( cR @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
! [X1: a > $o] :
( ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ~ ( ~ ( ( ( X2 = cZ )
= ( X3 = cZ ) )
=> ~ ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) )
=> ~ ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) ) ) )
=> ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ( X2 = X3 ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( ~ ( ~ ( ( ( cL @ cZ )
= cZ )
=> ( ( cR @ cZ )
!= cZ ) )
=> ~ ! [X1: a,X2: a] :
( ( cL @ ( cP @ X1 @ X2 ) )
= X1 ) )
=> ~ ! [X1: a,X2: a] :
( ( cR @ ( cP @ X1 @ X2 ) )
= X2 ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
! [X1: a] :
( ( X1 != cZ )
= ( X1
= ( cP @ ( cL @ X1 ) @ ( cR @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ~ ( ( ( cL @ cZ )
= cZ )
=> ( ( cR @ cZ )
!= cZ ) )
=> ~ ! [X1: a,X2: a] :
( ( cL @ ( cP @ X1 @ X2 ) )
= X1 ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
! [X1: a,X2: a] :
( ( cR @ ( cP @ X1 @ X2 ) )
= X2 ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ( ( cL @ cZ )
= cZ )
=> ( ( cR @ cZ )
!= cZ ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
! [X1: a,X2: a] :
( ( cL @ ( cP @ X1 @ X2 ) )
= X1 ),
introduced(assumption,[]) ).
thf(h11,assumption,
( ( cL @ cZ )
= cZ ),
introduced(assumption,[]) ).
thf(h12,assumption,
( ( cR @ cZ )
= cZ ),
introduced(assumption,[]) ).
thf(h13,assumption,
~ ! [X1: a] :
( ~ ! [X2: a > $o] :
( ( X2 @ ( cP @ eigen__0 @ X1 ) )
=> ~ ! [X3: a,X4: a] :
( ( X2 @ ( cP @ X3 @ X4 ) )
=> ~ ( ~ ( ( ( X4 = cZ )
=> ( X3 = cZ ) )
=> ~ ( X2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) ) )
=> ~ ( X2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) ) ) ) )
=> ~ ! [X2: a > $o] :
( ( X2 @ ( cP @ ( cR @ eigen__0 ) @ ( cR @ X1 ) ) )
=> ~ ! [X3: a,X4: a] :
( ( X2 @ ( cP @ X3 @ X4 ) )
=> ~ ( ~ ( ( ( X4 = cZ )
=> ( X3 = cZ ) )
=> ~ ( X2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) ) )
=> ~ ( X2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h14,assumption,
~ ( ~ ! [X1: a > $o] :
( ( X1 @ ( cP @ eigen__0 @ eigen__1 ) )
=> ~ ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ~ ( ~ ( ( ( X3 = cZ )
=> ( X2 = cZ ) )
=> ~ ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) )
=> ~ ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) ) ) ) )
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ ! [X1: a > $o] :
( ( X1 @ ( cP @ eigen__0 @ eigen__1 ) )
=> ~ ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ~ ( ~ ( ( ( X3 = cZ )
=> ( X2 = cZ ) )
=> ~ ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) )
=> ~ ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h16,assumption,
sP7,
introduced(assumption,[]) ).
thf(h17,assumption,
~ ( sP6
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h18,assumption,
sP6,
introduced(assumption,[]) ).
thf(h19,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP8
| ~ sP2
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP7
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( sP3
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP5
| ~ sP6
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP4
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP1
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h18,h19,h17,h15,h16,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0])],[1,2,3,4,5,6,h18,h19,h16]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h15,h16,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h18,h19])],[h17,7,h18,h19]) ).
thf(9,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h15,h16,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__2)],[h15,8,h17]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h14,9,h15,h16]) ).
thf(11,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__1)],[h13,10,h14]) ).
thf(12,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__0)],[h2,11,h13]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,12,h11,h12]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,13,h9,h10]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h5,14,h7,h8]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,15,h5,h6]) ).
thf(17,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,16,h3,h4]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,17,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( ~ ( ~ ( ~ ( ( ( cL @ cZ )
= cZ )
=> ( ( cR @ cZ )
!= cZ ) )
=> ~ ! [X1: a,X2: a] :
( ( cL @ ( cP @ X1 @ X2 ) )
= X1 ) )
=> ~ ! [X1: a,X2: a] :
( ( cR @ ( cP @ X1 @ X2 ) )
= X2 ) )
=> ~ ! [X1: a] :
( ( X1 != cZ )
= ( X1
= ( cP @ ( cL @ X1 ) @ ( cR @ X1 ) ) ) ) )
=> ~ ! [X1: a > $o] :
( ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ~ ( ~ ( ( ( X2 = cZ )
= ( X3 = cZ ) )
=> ~ ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) )
=> ~ ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) ) ) )
=> ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ( X2 = X3 ) ) ) )
=> ! [X1: a,X2: a] :
( ~ ! [X3: a > $o] :
( ( X3 @ ( cP @ X1 @ X2 ) )
=> ~ ! [X4: a,X5: a] :
( ( X3 @ ( cP @ X4 @ X5 ) )
=> ~ ( ~ ( ( ( X5 = cZ )
=> ( X4 = cZ ) )
=> ~ ( X3 @ ( cP @ ( cL @ X4 ) @ ( cL @ X5 ) ) ) )
=> ~ ( X3 @ ( cP @ ( cR @ X4 ) @ ( cR @ X5 ) ) ) ) ) )
=> ~ ! [X3: a > $o] :
( ( X3 @ ( cP @ ( cR @ X1 ) @ ( cR @ X2 ) ) )
=> ~ ! [X4: a,X5: a] :
( ( X3 @ ( cP @ X4 @ X5 ) )
=> ~ ( ~ ( ( ( X5 = cZ )
=> ( X4 = cZ ) )
=> ~ ( X3 @ ( cP @ ( cL @ X4 ) @ ( cL @ X5 ) ) ) )
=> ~ ( X3 @ ( cP @ ( cR @ X4 ) @ ( cR @ X5 ) ) ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[18,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU974^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n024.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 : 300
% 0.12/0.33 % DateTime : Wed Aug 23 14:02:54 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 % Mode: cade22grackle2xfee4
% 0.18/0.41 % Steps: 242
% 0.18/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------