%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM830^5 : TPTP v9.2.0. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3ig5iL2XXK 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 : Thu Oct 2 04:48:27 PM UTC 2025
% Result : Theorem 0.58s 0.82s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 67 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 425 ( 7 ~; 0 |; 15 &; 379 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 72 ( 20 ^; 52 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(n_type,type,
n: $tType ).
thf(c_star_type,type,
c_star: n > n > n ).
thf(cPA_4_type,type,
cPA_4: $o ).
thf(cS_type,type,
cS: n > n ).
thf(cPA_2_type,type,
cPA_2: $o ).
thf(cPA_3_type,type,
cPA_3: $o ).
thf(cPA_1_type,type,
cPA_1: $o ).
thf(c_plus_type,type,
c_plus: n > n > n ).
thf(c0_type,type,
c0: n ).
thf(cPA_4_def,axiom,
( cPA_4
= ( ! [Xx: n,Xy: n] :
( ( c_star @ Xx @ ( cS @ Xy ) )
= ( c_plus @ ( c_star @ Xx @ Xy ) @ Xx ) ) ) ) ).
thf('0',plain,
( cPA_4
= ( ! [X4: n,X6: n] :
( ( c_star @ X4 @ ( cS @ X6 ) )
= ( c_plus @ ( c_star @ X4 @ X6 ) @ X4 ) ) ) ),
define([status(thm)]) ).
thf(cPA_3_def,axiom,
( cPA_3
= ( ! [Xx: n] :
( ( c_star @ Xx @ c0 )
= c0 ) ) ) ).
thf('1',plain,
( cPA_3
= ( ! [X4: n] :
( ( c_star @ X4 @ c0 )
= c0 ) ) ),
define([status(thm)]) ).
thf(cPA_2_def,axiom,
( cPA_2
= ( ! [Xx: n,Xy: n] :
( ( c_plus @ Xx @ ( cS @ Xy ) )
= ( cS @ ( c_plus @ Xx @ Xy ) ) ) ) ) ).
thf('2',plain,
( cPA_2
= ( ! [X4: n,X6: n] :
( ( c_plus @ X4 @ ( cS @ X6 ) )
= ( cS @ ( c_plus @ X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(cPA_1_def,axiom,
( cPA_1
= ( ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= Xx ) ) ) ).
thf('3',plain,
( cPA_1
= ( ! [X4: n] :
( ( c_plus @ X4 @ c0 )
= X4 ) ) ),
define([status(thm)]) ).
thf(cPA_THM1,conjecture,
( ( cPA_1
& cPA_2
& cPA_3
& cPA_4 )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X12: n,X14: n] :
( ( c_star @ X12 @ ( cS @ X14 ) )
= ( c_plus @ ( c_star @ X12 @ X14 ) @ X12 ) )
& ! [X10: n] :
( ( c_star @ X10 @ c0 )
= c0 )
& ! [X6: n,X8: n] :
( ( c_plus @ X6 @ ( cS @ X8 ) )
= ( cS @ ( c_plus @ X6 @ X8 ) ) )
& ! [X4: n] :
( ( c_plus @ X4 @ c0 )
= X4 ) )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X12: n,X14: n] :
( ( c_star @ X12 @ ( cS @ X14 ) )
= ( c_plus @ ( c_star @ X12 @ X14 ) @ X12 ) )
& ! [X10: n] :
( ( c_star @ X10 @ c0 )
= c0 )
& ! [X6: n,X8: n] :
( ( c_plus @ X6 @ ( cS @ X8 ) )
= ( cS @ ( c_plus @ X6 @ X8 ) ) )
& ! [X4: n] :
( ( c_plus @ X4 @ c0 )
= X4 ) )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_star @ Y0 @ ( cS @ Y1 ) )
= ( c_plus @ ( c_star @ Y0 @ Y1 ) @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: n] :
( ( c_star @ Y0 @ c0 )
= c0 ) )
& ( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_star @ Y0 @ ( cS @ Y1 ) )
= ( c_plus @ ( c_star @ Y0 @ Y1 ) @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: n] :
( ( c_star @ Y0 @ c0 )
= c0 ) )
& ( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_star @ Y0 @ ( cS @ Y1 ) )
= ( c_plus @ ( c_star @ Y0 @ Y1 ) @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X2: n] :
( !!
@ ^ [Y0: n] :
( ( c_star @ X2 @ ( cS @ Y0 ) )
= ( c_plus @ ( c_star @ X2 @ Y0 ) @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
! [X2: n,X4: n] :
( ( c_star @ X2 @ ( cS @ X4 ) )
= ( c_plus @ ( c_star @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: n,X4: n] :
( ( c_star @ X2 @ ( cS @ X4 ) )
= ( c_plus @ ( c_star @ X2 @ X4 ) @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16_001,plain,
! [X2: n,X4: n] :
( ( c_star @ X2 @ ( cS @ X4 ) )
= ( c_plus @ ( c_star @ X2 @ X4 ) @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: n] :
( ( c_star @ Y0 @ c0 )
= c0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: n] :
( ( c_star @ X2 @ c0 )
= c0 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X2: n] :
( ( c_star @ X2 @ c0 )
= c0 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
( ( c_plus @ ( c_plus @ c0 @ ( cS @ ( cS @ c0 ) ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl16,zip_derived_cl16,zip_derived_cl13]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
! [X2: n] :
( ( c_plus @ X2 @ c0 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X2: n] :
( ( c_plus @ X2 @ c0 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
! [X2: n] :
( !!
@ ^ [Y0: n] :
( ( c_plus @ X2 @ ( cS @ Y0 ) )
= ( cS @ ( c_plus @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
! [X2: n,X4: n] :
( ( c_plus @ X2 @ ( cS @ X4 ) )
= ( cS @ ( c_plus @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: n,X4: n] :
( ( c_plus @ X2 @ ( cS @ X4 ) )
= ( cS @ ( c_plus @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( cS @ c0 ) )
= ( cS @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl19_002,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( cS @ c0 ) )
= ( cS @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl19_003,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( cS @ c0 ) )
= ( cS @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl19_004,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( cS @ c0 ) )
= ( cS @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
( ( c_plus @ ( c_plus @ c0 @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) )
!= ( c_plus @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl19,zip_derived_cl19,zip_derived_cl19,zip_derived_cl19]) ).
thf(zip_derived_cl19_005,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( cS @ c0 ) )
= ( cS @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl17_006,plain,
! [X2: n,X4: n] :
( ( c_plus @ X2 @ ( cS @ X4 ) )
= ( cS @ ( c_plus @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl24,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( cS @ ( cS @ c0 ) ) )
= ( cS @ ( cS @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl17]) ).
thf(zip_derived_cl19_007,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( cS @ c0 ) )
= ( cS @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl30,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) )
= ( cS @ ( cS @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl19]) ).
thf(zip_derived_cl19_008,plain,
! [X0: n] :
( ( c_plus @ X0 @ ( cS @ c0 ) )
= ( cS @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl33,plain,
! [X0: n] :
( ( c_plus @ ( cS @ X0 ) @ ( cS @ c0 ) )
= ( c_plus @ X0 @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl19]) ).
thf(zip_derived_cl46,plain,
( ( c_plus @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) )
!= ( c_plus @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) @ ( c_plus @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl33]) ).
thf(zip_derived_cl47,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM830^5 : TPTP v9.2.0. Bugfixed v5.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3ig5iL2XXK true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:41:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.55/0.68 % Total configuration time : 828
% 0.55/0.68 % Estimated wc time : 1656
% 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.82 % Solved by lams/20_acsne_simpl.sh.
% 0.58/0.82 % done 9 iterations in 0.016s
% 0.58/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.82 % SZS output start Refutation
% See solution above
% 0.58/0.82
% 0.58/0.82
% 0.58/0.82 % Terminating...
% 0.63/0.87 % Runner terminated.
% 0.63/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------