TSTP Solution File: ALG284^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG284^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QA5iAhIlgv true
% Computer : n010.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 : Wed Aug 30 17:12:43 EDT 2023
% Result : Theorem 1.52s 0.90s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 60 ( 44 unt; 5 typ; 0 def)
% Number of atoms : 89 ( 65 equ; 0 cnn)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 394 ( 7 ~; 0 |; 8 &; 353 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% ( 23 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 106 ( 23 ^; 83 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i ).
thf(cJ_type,type,
cJ: $i > $i ).
thf(cE_type,type,
cE: $i ).
thf(cP_type,type,
cP: $i > $i > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(cTHM18_pme,conjecture,
( ( ! [Xy: $i] :
( ( cP @ ( cJ @ Xy ) @ Xy )
= cE )
& ! [Xx: $i] :
( ( cP @ cE @ Xx )
= Xx )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
= ( cP @ Xx @ ( cP @ Xy @ Xz ) ) ) )
=> ! [X: $i,Y: $i] :
( ( cJ @ ( cP @ X @ Y ) )
= ( cP @ ( cJ @ Y ) @ ( cJ @ X ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xy: $i] :
( ( cP @ ( cJ @ Xy ) @ Xy )
= cE )
& ! [Xx: $i] :
( ( cP @ cE @ Xx )
= Xx )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
= ( cP @ Xx @ ( cP @ Xy @ Xz ) ) ) )
=> ! [X: $i,Y: $i] :
( ( cJ @ ( cP @ X @ Y ) )
= ( cP @ ( cJ @ Y ) @ ( cJ @ X ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM18_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( ( cP @ ( cJ @ Y0 ) @ Y0 )
= cE ) )
& ( !!
@ ^ [Y0: $i] :
( ( cP @ cE @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( cP @ ( cP @ Y0 @ Y1 ) @ Y2 )
= ( cP @ Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cJ @ ( cP @ Y0 @ Y1 ) )
= ( cP @ ( cJ @ Y1 ) @ ( cJ @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cJ @ ( cP @ Y0 @ Y1 ) )
= ( cP @ ( cJ @ Y1 ) @ ( cJ @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( cJ @ ( cP @ '#sk1' @ Y0 ) )
= ( cP @ ( cJ @ Y0 ) @ ( cJ @ '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
( ( cJ @ ( cP @ '#sk1' @ '#sk2' ) )
!= ( cP @ ( cJ @ '#sk2' ) @ ( cJ @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
( ( cJ @ ( cP @ '#sk1' @ '#sk2' ) )
!= ( cP @ ( cJ @ '#sk2' ) @ ( cJ @ '#sk1' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i] :
( ( cP @ ( cJ @ Y0 ) @ Y0 )
= cE ) )
& ( !!
@ ^ [Y0: $i] :
( ( cP @ cE @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( cP @ ( cP @ Y0 @ Y1 ) @ Y2 )
= ( cP @ Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( ( cP @ ( cJ @ Y0 ) @ Y0 )
= cE ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( ( cP @ ( cJ @ X2 ) @ X2 )
= cE ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ( cP @ ( cJ @ X2 ) @ X2 )
= cE ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11_001,plain,
! [X2: $i] :
( ( cP @ ( cJ @ X2 ) @ X2 )
= cE ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( cP @ ( cP @ Y0 @ Y1 ) @ Y2 )
= ( cP @ Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cP @ ( cP @ X2 @ Y0 ) @ Y1 )
= ( cP @ X2 @ ( cP @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( cP @ ( cP @ X2 @ X4 ) @ Y0 )
= ( cP @ X2 @ ( cP @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( cP @ ( cP @ X2 @ X4 ) @ X6 )
= ( cP @ X2 @ ( cP @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( cP @ ( cP @ X2 @ X4 ) @ X6 )
= ( cP @ X2 @ ( cP @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( cP @ cE @ X0 )
= ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl16]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( ( cP @ cE @ Y0 )
= Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ( cP @ cE @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ( cP @ cE @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( X0
= ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl12]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( X0
= ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl26]) ).
thf(zip_derived_cl26_002,plain,
! [X0: $i,X1: $i] :
( X0
= ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl12]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( cE
= ( cP @ ( cJ @ ( cJ @ ( cJ @ X0 ) ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl26]) ).
thf(zip_derived_cl26_003,plain,
! [X0: $i,X1: $i] :
( X0
= ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl12]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( X0
= ( cP @ ( cJ @ ( cJ @ ( cJ @ ( cJ @ X0 ) ) ) ) @ cE ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl26]) ).
thf(zip_derived_cl36_004,plain,
! [X0: $i] :
( X0
= ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl26]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( cJ @ ( cJ @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl36]) ).
thf(zip_derived_cl11_005,plain,
! [X2: $i] :
( ( cP @ ( cJ @ X2 ) @ X2 )
= cE ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( cP @ X0 @ ( cJ @ X0 ) )
= cE ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl11]) ).
thf(zip_derived_cl16_006,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( cP @ ( cP @ X2 @ X4 ) @ X6 )
= ( cP @ X2 @ ( cP @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl26_007,plain,
! [X0: $i,X1: $i] :
( X0
= ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl12]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( X0
= ( cP @ ( cJ @ ( cP @ X2 @ X1 ) ) @ ( cP @ X2 @ ( cP @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl26]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i] :
( ( cJ @ X0 )
= ( cP @ ( cJ @ ( cP @ X1 @ X0 ) ) @ ( cP @ X1 @ cE ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl106,zip_derived_cl34]) ).
thf(zip_derived_cl36_008,plain,
! [X0: $i] :
( X0
= ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl26]) ).
thf(zip_derived_cl89_009,plain,
! [X0: $i] :
( ( cJ @ ( cJ @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl36]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( X0
= ( cP @ X0 @ cE ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl89]) ).
thf(zip_derived_cl198,plain,
! [X0: $i,X1: $i] :
( ( cJ @ X0 )
= ( cP @ ( cJ @ ( cP @ X1 @ X0 ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl101]) ).
thf(zip_derived_cl89_010,plain,
! [X0: $i] :
( ( cJ @ ( cJ @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl36]) ).
thf(zip_derived_cl11_011,plain,
! [X2: $i] :
( ( cP @ ( cJ @ X2 ) @ X2 )
= cE ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl34_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( X0
= ( cP @ ( cJ @ ( cP @ X2 @ X1 ) ) @ ( cP @ X2 @ ( cP @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl26]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i] :
( X0
= ( cP @ ( cJ @ ( cP @ X1 @ ( cJ @ X0 ) ) ) @ ( cP @ X1 @ cE ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl34]) ).
thf(zip_derived_cl101_013,plain,
! [X0: $i] :
( X0
= ( cP @ X0 @ cE ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl89]) ).
thf(zip_derived_cl197,plain,
! [X0: $i,X1: $i] :
( X0
= ( cP @ ( cJ @ ( cP @ X1 @ ( cJ @ X0 ) ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl101]) ).
thf(zip_derived_cl106_014,plain,
! [X0: $i] :
( ( cP @ X0 @ ( cJ @ X0 ) )
= cE ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl11]) ).
thf(zip_derived_cl16_015,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( cP @ ( cP @ X2 @ X4 ) @ X6 )
= ( cP @ X2 @ ( cP @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i] :
( ( cP @ cE @ X0 )
= ( cP @ X1 @ ( cP @ ( cJ @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl106,zip_derived_cl16]) ).
thf(zip_derived_cl12_016,plain,
! [X2: $i] :
( ( cP @ cE @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i] :
( X0
= ( cP @ X1 @ ( cP @ ( cJ @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl12]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i] :
( X1
= ( cP @ ( cP @ X1 @ ( cJ @ X0 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl139]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i] :
( X1
= ( cP @ ( cP @ X1 @ X0 ) @ ( cJ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl275]) ).
thf(zip_derived_cl434,plain,
! [X0: $i,X1: $i] :
( ( cJ @ ( cP @ X1 @ X0 ) )
= ( cP @ ( cJ @ X0 ) @ ( cJ @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl329]) ).
thf(zip_derived_cl713,plain,
( ( cJ @ ( cP @ '#sk1' @ '#sk2' ) )
!= ( cJ @ ( cP @ '#sk1' @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl434]) ).
thf(zip_derived_cl714,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl713]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG284^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QA5iAhIlgv true
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 04:16:49 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.52/0.90 % Solved by lams/35_full_unif4.sh.
% 1.52/0.90 % done 102 iterations in 0.085s
% 1.52/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.52/0.90 % SZS output start Refutation
% See solution above
% 1.52/0.90
% 1.52/0.90
% 1.52/0.90 % Terminating...
% 1.93/0.97 % Runner terminated.
% 1.93/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------