%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG286^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0EaRsWEVHM true
% Computer : n022.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 04:28:34 PM UTC 2025
% Result : Theorem 0.40s 0.74s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 40 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 90 ( 72 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 215 ( 22 ~; 2 |; 16 &; 145 @)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% ( 17 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 41 ( 17 ^; 24 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(x_type,type,
x: a ).
thf(u_type,type,
u: a ).
thf(cR_type,type,
cR: a > a ).
thf(cL_type,type,
cL: a > a ).
thf(cP_type,type,
cP: a > a > a ).
thf(y_type,type,
y: a ).
thf(cZ_type,type,
cZ: a ).
thf(cPU_PAIR_NOT_ZERO_pme,conjecture,
( ( ! [Xt: a] :
( ( Xt != cZ )
<=> ( Xt
= ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
& ! [Xx0: a,Xy0: a] :
( ( cR @ ( cP @ Xx0 @ Xy0 ) )
= Xy0 )
& ! [Xx0: a,Xy0: a] :
( ( cL @ ( cP @ Xx0 @ Xy0 ) )
= Xx0 )
& ( ( cR @ cZ )
= cZ )
& ( ( cL @ cZ )
= cZ ) )
=> ( ( u
= ( cP @ x @ y ) )
=> ( u != cZ ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xt: a] :
( ( Xt != cZ )
<=> ( Xt
= ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
& ! [Xx0: a,Xy0: a] :
( ( cR @ ( cP @ Xx0 @ Xy0 ) )
= Xy0 )
& ! [Xx0: a,Xy0: a] :
( ( cL @ ( cP @ Xx0 @ Xy0 ) )
= Xx0 )
& ( ( cR @ cZ )
= cZ )
& ( ( cL @ cZ )
= cZ ) )
=> ( ( u
= ( cP @ x @ y ) )
=> ( u != cZ ) ) ),
inference('cnf.neg',[status(esa)],[cPU_PAIR_NOT_ZERO_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( ( Y0 != cZ )
<=> ( Y0
= ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cR @ ( cP @ Y0 @ Y1 ) )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cL @ ( cP @ Y0 @ Y1 ) )
= Y0 ) ) )
& ( ( cR @ cZ )
= cZ )
& ( ( cL @ cZ )
= cZ ) )
=> ( ( u
= ( cP @ x @ y ) )
=> ( u != cZ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( ( u
= ( cP @ x @ y ) )
=> ( u != cZ ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
( u
= ( cP @ x @ y ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl15,plain,
( u
= ( cP @ x @ y ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl9,plain,
~ ( ( u != cZ ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl16,plain,
u = cZ,
inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl22,plain,
( cZ
= ( cP @ x @ y ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl22_001,plain,
( cZ
= ( cP @ x @ y ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: a] :
( ( Y0 != cZ )
<=> ( Y0
= ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cR @ ( cP @ Y0 @ Y1 ) )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cL @ ( cP @ Y0 @ Y1 ) )
= Y0 ) ) )
& ( ( cR @ cZ )
= cZ )
& ( ( cL @ cZ )
= cZ ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cR @ ( cP @ Y0 @ Y1 ) )
= Y1 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( cR @ ( cP @ X2 @ Y0 ) )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl18,plain,
! [X2: a,X4: a] :
( ( cR @ ( cP @ X2 @ X4 ) )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
! [X2: a,X4: a] :
( ( cR @ ( cP @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
( ( cR @ cZ )
= y ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl20]) ).
thf(zip_derived_cl6,plain,
( ( cR @ cZ )
= cZ ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
( ( cR @ cZ )
= cZ ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl25,plain,
cZ = y,
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl13]) ).
thf(zip_derived_cl27,plain,
( cZ
= ( cP @ x @ cZ ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl25]) ).
thf(zip_derived_cl27_002,plain,
( cZ
= ( cP @ x @ cZ ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl25]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cL @ ( cP @ Y0 @ Y1 ) )
= Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( cL @ ( cP @ X2 @ Y0 ) )
= X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl19,plain,
! [X2: a,X4: a] :
( ( cL @ ( cP @ X2 @ X4 ) )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl21,plain,
! [X2: a,X4: a] :
( ( cL @ ( cP @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30,plain,
( ( cL @ cZ )
= x ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl21]) ).
thf(zip_derived_cl7,plain,
( ( cL @ cZ )
= cZ ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl14,plain,
( ( cL @ cZ )
= cZ ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl32,plain,
cZ = x,
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl14]) ).
thf(zip_derived_cl34,plain,
( cZ
= ( cP @ cZ @ cZ ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl32]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: a] :
( ( Y0 != cZ )
<=> ( Y0
= ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
! [X2: a] :
( ( X2 != cZ )
<=> ( X2
= ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( ( X2 != cZ )
= ( X2
= ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl39,plain,
! [X2: a] :
( ( X2 != cZ )
| ( X2
!= ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl43,plain,
! [X2: a] :
( ( X2 != cZ )
| ( X2
!= ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl44,plain,
( cZ
!= ( cP @ ( cL @ cZ ) @ ( cR @ cZ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl14_003,plain,
( ( cL @ cZ )
= cZ ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13_004,plain,
( ( cR @ cZ )
= cZ ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl50,plain,
( cZ
!= ( cP @ cZ @ cZ ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl14,zip_derived_cl13]) ).
thf(zip_derived_cl75,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34,zip_derived_cl50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : ALG286^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0EaRsWEVHM true
% 0.08/0.31 % Computer : n022.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Wed Oct 1 17:04:08 EDT 2025
% 0.13/0.31 % CPUTime :
% 0.13/0.31 % Running portfolio for 300 s
% 0.13/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.31 % Number of cores: 8
% 0.13/0.31 % Python version: Python 3.6.8
% 0.13/0.31 % Running in HO mode
% 0.39/0.57 % Total configuration time : 828
% 0.39/0.57 % Estimated wc time : 1656
% 0.39/0.57 % Estimated cpu time (8 cpus) : 207.0
% 0.40/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.40/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.40/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.40/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.40/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.40/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.40/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.40/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.40/0.74 % Solved by lams/35_full_unif4.sh.
% 0.40/0.74 % done 16 iterations in 0.012s
% 0.40/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.40/0.74 % SZS output start Refutation
% See solution above
% 0.40/0.74
% 0.40/0.74
% 0.40/0.74 % Terminating...
% 0.42/0.79 % Runner terminated.
% 0.42/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------