TSTP Solution File: SEV401^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV401^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0mVy7ByAVT true
% Computer : n026.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 20:00:40 EDT 2023
% Result : Theorem 1.50s 0.83s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 260 ( 2 equ; 0 cnn)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 543 ( 27 ~; 19 |; 8 &; 368 @)
% ( 6 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% ( 54 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 106 ( 54 ^; 52 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': a ).
thf(cG_type,type,
cG: ( a > $o ) > a > $o ).
thf(cF_type,type,
cF: ( a > $o ) > a > $o ).
thf('#sk21_type',type,
'#sk21': ( a > $o ) > ( a > $o ) > a ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf(cTHM67_pme,conjecture,
( ( ! [S: a > $o,Xx: a] :
( ( S @ Xx )
=> ( cG @ ( cF @ S ) @ Xx ) )
& ! [S: a > $o,Xx: a] :
( ( S @ Xx )
=> ( cF @ ( cG @ S ) @ Xx ) )
& ! [S: a > $o,T: a > $o] :
( ! [Xx: a] :
( ( S @ Xx )
=> ( T @ Xx ) )
=> ! [Xx: a] :
( ( cF @ T @ Xx )
=> ( cF @ S @ Xx ) ) ) )
=> ! [S: a > $o,Xx: a] :
( ( cF @ ( cG @ ( cF @ S ) ) @ Xx )
<=> ( cF @ S @ Xx ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [S: a > $o,Xx: a] :
( ( S @ Xx )
=> ( cG @ ( cF @ S ) @ Xx ) )
& ! [S: a > $o,Xx: a] :
( ( S @ Xx )
=> ( cF @ ( cG @ S ) @ Xx ) )
& ! [S: a > $o,T: a > $o] :
( ! [Xx: a] :
( ( S @ Xx )
=> ( T @ Xx ) )
=> ! [Xx: a] :
( ( cF @ T @ Xx )
=> ( cF @ S @ Xx ) ) ) )
=> ! [S: a > $o,Xx: a] :
( ( cF @ ( cG @ ( cF @ S ) ) @ Xx )
<=> ( cF @ S @ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cTHM67_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cG @ ( cF @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cF @ ( cG @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( cF @ Y0 @ Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( cF @ ( cG @ ( cF @ Y0 ) ) @ Y1 )
<=> ( cF @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( cF @ ( cG @ ( cF @ Y0 ) ) @ Y1 )
<=> ( cF @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: a] :
( ( cF @ ( cG @ ( cF @ '#sk1' ) ) @ Y0 )
<=> ( cF @ '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl13,plain,
~ ( ( cF @ ( cG @ ( cF @ '#sk1' ) ) @ '#sk2' )
<=> ( cF @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl18,plain,
( ( cF @ ( cG @ ( cF @ '#sk1' ) ) @ '#sk2' )
!= ( cF @ '#sk1' @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl38,plain,
( ~ ( cF @ ( cG @ ( cF @ '#sk1' ) ) @ '#sk2' )
| ~ ( cF @ '#sk1' @ '#sk2' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cG @ ( cF @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cF @ ( cG @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( cF @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cF @ ( cG @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cF @ ( cG @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl35,plain,
( !!
@ ^ [Y0: a] :
( ( cF @ '#sk1' @ Y0 )
=> ( cF @ ( cG @ ( cF @ '#sk1' ) ) @ Y0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl109,plain,
! [X2: a] :
( ( cF @ '#sk1' @ X2 )
=> ( cF @ ( cG @ ( cF @ '#sk1' ) ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl110,plain,
! [X2: a] :
( ~ ( cF @ '#sk1' @ X2 )
| ( cF @ ( cG @ ( cF @ '#sk1' ) ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl114,plain,
( ~ ( cF @ '#sk1' @ '#sk2' )
| ~ ( cF @ '#sk1' @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl110]) ).
thf(zip_derived_cl119,plain,
~ ( cF @ '#sk1' @ '#sk2' ),
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl18_001,plain,
( ( cF @ ( cG @ ( cF @ '#sk1' ) ) @ '#sk2' )
!= ( cF @ '#sk1' @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl119_002,plain,
~ ( cF @ '#sk1' @ '#sk2' ),
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl125,plain,
cF @ ( cG @ ( cF @ '#sk1' ) ) @ '#sk2',
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl119]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( cF @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( cF @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl16,plain,
! [X2: a > $o,X4: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X4 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cF @ X4 @ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl21,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF @ X4 @ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( ( X2 @ ( '#sk21' @ X2 @ X4 ) )
=> ( X4 @ ( '#sk21' @ X2 @ X4 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF @ X4 @ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl24,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( X4 @ ( '#sk21' @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: a] :
( ( cF @ X4 @ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl26,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ( ( cF @ X4 @ X6 )
=> ( cF @ X2 @ X6 ) )
| ~ ( X4 @ ( '#sk21' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cF @ X4 @ X6 )
| ( cF @ X2 @ X6 )
| ~ ( X4 @ ( '#sk21' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl127,plain,
! [X0: a > $o] :
( ~ ( cG @ ( cF @ '#sk1' ) @ ( '#sk21' @ X0 @ ( cG @ ( cF @ '#sk1' ) ) ) )
| ( cF @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl28]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cG @ ( cF @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cG @ ( cF @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( cG @ ( cF @ '#sk1' ) @ Y0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl75,plain,
! [X2: a] :
( ( '#sk1' @ X2 )
=> ( cG @ ( cF @ '#sk1' ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl76,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( cG @ ( cF @ '#sk1' ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl152,plain,
! [X0: a > $o] :
( ( cF @ X0 @ '#sk2' )
| ~ ( '#sk1' @ ( '#sk21' @ X0 @ ( cG @ ( cF @ '#sk1' ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl76]) ).
thf(zip_derived_cl125_003,plain,
cF @ ( cG @ ( cF @ '#sk1' ) ) @ '#sk2',
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl119]) ).
thf(zip_derived_cl11_004,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( cF @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( cF @ '#sk1' @ Y1 ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl129,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cF @ X2 @ Y0 )
=> ( cF @ '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl134,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( X2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF @ X2 @ Y0 )
=> ( cF @ '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl135,plain,
! [X2: a > $o] :
( ~ ( ( '#sk1' @ ( '#sk21' @ '#sk1' @ X2 ) )
=> ( X2 @ ( '#sk21' @ '#sk1' @ X2 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF @ X2 @ Y0 )
=> ( cF @ '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl136,plain,
! [X2: a > $o] :
( ( '#sk1' @ ( '#sk21' @ '#sk1' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cF @ X2 @ Y0 )
=> ( cF @ '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl138,plain,
! [X2: a > $o,X4: a] :
( ( ( cF @ X2 @ X4 )
=> ( cF @ '#sk1' @ X4 ) )
| ( '#sk1' @ ( '#sk21' @ '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl140,plain,
! [X2: a > $o,X4: a] :
( ~ ( cF @ X2 @ X4 )
| ( cF @ '#sk1' @ X4 )
| ( '#sk1' @ ( '#sk21' @ '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl142,plain,
( ( '#sk1' @ ( '#sk21' @ '#sk1' @ ( cG @ ( cF @ '#sk1' ) ) ) )
| ( cF @ '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl140]) ).
thf(zip_derived_cl119_005,plain,
~ ( cF @ '#sk1' @ '#sk2' ),
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl150,plain,
'#sk1' @ ( '#sk21' @ '#sk1' @ ( cG @ ( cF @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl119]) ).
thf(zip_derived_cl181,plain,
cF @ '#sk1' @ '#sk2',
inference('sup+',[status(thm)],[zip_derived_cl152,zip_derived_cl150]) ).
thf(zip_derived_cl185,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV401^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0mVy7ByAVT true
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 02:17:02 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.21/0.62 % Total configuration time : 828
% 0.21/0.62 % Estimated wc time : 1656
% 0.21/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.50/0.83 % Solved by lams/35_full_unif4.sh.
% 1.50/0.83 % done 37 iterations in 0.110s
% 1.50/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.50/0.83 % SZS output start Refutation
% See solution above
% 1.50/0.83
% 1.50/0.83
% 1.50/0.83 % Terminating...
% 2.37/0.95 % Runner terminated.
% 2.37/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------