%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM687^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DK7laESrr7 true
% Computer : n006.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 04:47:59 PM UTC 2025
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 13 equ; 1 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 308 ( 16 ~; 9 |; 0 &; 233 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 7 con; 0-2 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 70 ( 20 ^; 50 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(u_type,type,
u: nat ).
thf(y_type,type,
y: nat ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(more_type,type,
more: nat > nat > $o ).
thf(z_type,type,
z: nat ).
thf(x_type,type,
x: nat ).
thf(satz19g,axiom,
! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
( ( Xx = Xy )
=> ( ( more @ Xz @ Xu )
=> ( more @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xu ) ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( !!
@ ^ [Y3: nat] :
( ( Y0 = Y1 )
=> ( ( more @ Y2 @ Y3 )
=> ( more @ ( pl @ Y0 @ Y2 ) @ ( pl @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz19g]) ).
thf(zip_derived_cl9,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( X2 = Y0 )
=> ( ( more @ Y1 @ Y2 )
=> ( more @ ( pl @ X2 @ Y1 ) @ ( pl @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( X2 = X4 )
=> ( ( more @ Y0 @ Y1 )
=> ( more @ ( pl @ X2 @ Y0 ) @ ( pl @ X4 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: nat,X4: nat,X6: nat] :
( !!
@ ^ [Y0: nat] :
( ( X2 = X4 )
=> ( ( more @ X6 @ Y0 )
=> ( more @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ( X2 = X4 )
=> ( ( more @ X6 @ X8 )
=> ( more @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X8 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ( X2 != X4 )
| ( ( more @ X6 @ X8 )
=> ( more @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X8 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ( X2 != X4 )
| ( ( more @ X6 @ X8 )
=> ( more @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X8 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X4: nat,X6: nat,X8: nat] :
( ( more @ X6 @ X8 )
=> ( more @ ( pl @ X4 @ X6 ) @ ( pl @ X4 @ X8 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X4: nat,X6: nat,X8: nat] :
( ~ ( more @ X6 @ X8 )
| ( more @ ( pl @ X4 @ X6 ) @ ( pl @ X4 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(satz22a,conjecture,
more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
inference('cnf.neg',[status(esa)],[satz22a]) ).
thf(zip_derived_cl5,plain,
~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_001,plain,
~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(satz21,axiom,
! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
( ( more @ Xx @ Xy )
=> ( ( more @ Xz @ Xu )
=> ( more @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xu ) ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( !!
@ ^ [Y3: nat] :
( ( more @ Y0 @ Y1 )
=> ( ( more @ Y2 @ Y3 )
=> ( more @ ( pl @ Y0 @ Y2 ) @ ( pl @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz21]) ).
thf(zip_derived_cl17,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( more @ X2 @ Y0 )
=> ( ( more @ Y1 @ Y2 )
=> ( more @ ( pl @ X2 @ Y1 ) @ ( pl @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl18,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( more @ X2 @ X4 )
=> ( ( more @ Y0 @ Y1 )
=> ( more @ ( pl @ X2 @ Y0 ) @ ( pl @ X4 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X2: nat,X4: nat,X6: nat] :
( !!
@ ^ [Y0: nat] :
( ( more @ X2 @ X4 )
=> ( ( more @ X6 @ Y0 )
=> ( more @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ( more @ X2 @ X4 )
=> ( ( more @ X6 @ X8 )
=> ( more @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X8 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ~ ( more @ X2 @ X4 )
| ( ( more @ X6 @ X8 )
=> ( more @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X8 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ~ ( more @ X6 @ X8 )
| ( more @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X8 ) )
| ~ ( more @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl24,plain,
( ~ ( more @ x @ y )
| ~ ( more @ z @ u ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl22]) ).
thf(n,axiom,
more @ z @ u ).
thf(zip_derived_cl1,plain,
more @ z @ u,
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl27,plain,
~ ( more @ x @ y ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl1]) ).
thf(m,axiom,
( ~ ( more @ x @ y )
=> ( x = y ) ) ).
thf(zip_derived_cl0,plain,
( ( (~) @ ( more @ x @ y ) )
=> ( x = y ) ),
inference(cnf,[status(esa)],[m]) ).
thf(zip_derived_cl6,plain,
( ( more @ x @ y )
| ( x = y ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
( ( more @ x @ y )
| ( x = y ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl31,plain,
x = y,
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl7]) ).
thf(zip_derived_cl35,plain,
~ ( more @ ( pl @ x @ z ) @ ( pl @ x @ u ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl31]) ).
thf(zip_derived_cl42,plain,
~ ( more @ z @ u ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl35]) ).
thf(zip_derived_cl1_002,plain,
more @ z @ u,
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl48,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM687^1 : TPTP v9.2.0. Released v3.7.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DK7laESrr7 true
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:25:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.52/0.62 % Total configuration time : 828
% 0.52/0.62 % Estimated wc time : 1656
% 0.52/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75 % Solved by lams/35_full_unif4.sh.
% 0.55/0.75 % done 12 iterations in 0.013s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% See solution above
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.75 % Terminating...
% 0.62/0.84 % Runner terminated.
% 0.62/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------