%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM737^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ffV1K6NEr2 true
% Computer : n009.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 04:48:09 PM UTC 2025
% Result : Theorem 57.10s 10.04s
% Output : Refutation 57.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 29 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 415 ( 6 ~; 4 |; 0 &; 378 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 93 ( 20 ^; 73 !; 0 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(frac_type,type,
frac: $tType ).
thf(u_type,type,
u: frac ).
thf(num_type,type,
num: frac > nat ).
thf(y_type,type,
y: frac ).
thf(more_type,type,
more: nat > nat > $o ).
thf(den_type,type,
den: frac > nat ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(z_type,type,
z: frac ).
thf(x_type,type,
x: frac ).
thf(m,axiom,
more @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ).
thf(zip_derived_cl0,plain,
more @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ),
inference(cnf,[status(esa)],[m]) ).
thf(satz44,conjecture,
more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) ),
inference('cnf.neg',[status(esa)],[satz44]) ).
thf(zip_derived_cl8,plain,
~ ( more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(f,axiom,
( ( ts @ ( num @ y ) @ ( den @ u ) )
= ( ts @ ( num @ u ) @ ( den @ y ) ) ) ).
thf(zip_derived_cl2,plain,
( ( ts @ ( num @ y ) @ ( den @ u ) )
= ( ts @ ( num @ u ) @ ( den @ y ) ) ),
inference(cnf,[status(esa)],[f]) ).
thf(satz31,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ ( ts @ Xx @ Xy ) @ Xz )
= ( ts @ Xx @ ( ts @ Xy @ Xz ) ) ) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( ts @ ( ts @ Y0 @ Y1 ) @ Y2 )
= ( ts @ Y0 @ ( ts @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz31]) ).
thf(zip_derived_cl102,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ ( ts @ X2 @ Y0 ) @ Y1 )
= ( ts @ X2 @ ( ts @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl103,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ Y0 )
= ( ts @ X2 @ ( ts @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl104,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl105,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl113,plain,
! [X0: nat] :
( ( ts @ ( ts @ ( num @ y ) @ ( den @ u ) ) @ X0 )
= ( ts @ ( num @ u ) @ ( ts @ ( den @ y ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl105]) ).
thf(zip_derived_cl105_001,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl132,plain,
! [X0: nat] :
( ( ts @ ( num @ y ) @ ( ts @ ( den @ u ) @ X0 ) )
= ( ts @ ( num @ u ) @ ( ts @ ( den @ y ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl105]) ).
thf(zip_derived_cl105_002,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl104]) ).
thf(satz29,axiom,
! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ Y0 @ Y1 )
= ( ts @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl41,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ts @ X2 @ Y0 )
= ( ts @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl42,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl43,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl110,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( ts @ X2 @ X1 ) )
= ( ts @ X2 @ ( ts @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl43]) ).
thf(zip_derived_cl43_003,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl299,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ ( ts @ X0 @ X2 ) @ X1 )
= ( ts @ X2 @ ( ts @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl43]) ).
thf(e,axiom,
( ( ts @ ( num @ x ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ x ) ) ) ).
thf(zip_derived_cl1,plain,
( ( ts @ ( num @ x ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ x ) ) ),
inference(cnf,[status(esa)],[e]) ).
thf(zip_derived_cl105_004,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl114,plain,
! [X0: nat] :
( ( ts @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ X0 )
= ( ts @ ( num @ z ) @ ( ts @ ( den @ x ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl105]) ).
thf(zip_derived_cl105_005,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl133,plain,
! [X0: nat] :
( ( ts @ ( num @ x ) @ ( ts @ ( den @ z ) @ X0 ) )
= ( ts @ ( num @ z ) @ ( ts @ ( den @ x ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl105]) ).
thf(satz32d,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( more @ Xx @ Xy )
=> ( more @ ( ts @ Xz @ Xx ) @ ( ts @ Xz @ Xy ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( more @ Y0 @ Y1 )
=> ( more @ ( ts @ Y2 @ Y0 ) @ ( ts @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz32d]) ).
thf(zip_derived_cl5_006,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ Y0 @ Y1 )
= ( ts @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl43_007,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(satz33a,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( more @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xz ) )
=> ( more @ Xx @ Xy ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( more @ ( ts @ Y0 @ Y2 ) @ ( ts @ Y1 @ Y2 ) )
=> ( more @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz33a]) ).
thf(zip_derived_cl48,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( more @ ( ts @ X2 @ Y1 ) @ ( ts @ Y0 @ Y1 ) )
=> ( more @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl49,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( ( more @ ( ts @ X2 @ Y0 ) @ ( ts @ X4 @ Y0 ) )
=> ( more @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl50,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( more @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ X6 ) )
=> ( more @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl51,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( more @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ X6 ) )
| ( more @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl54,plain,
! [X0: nat,X1: nat,X2: nat] :
( ~ ( more @ ( ts @ X1 @ X0 ) @ ( ts @ X2 @ X1 ) )
| ( more @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl51]) ).
thf(zip_derived_cl105_008,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl51_009,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( more @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ X6 ) )
| ( more @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl108,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ~ ( more @ ( ts @ X2 @ ( ts @ X1 @ X0 ) ) @ ( ts @ X3 @ X0 ) )
| ( more @ ( ts @ X2 @ X1 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl51]) ).
thf(zip_derived_cl1762,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl8,zip_derived_cl132,zip_derived_cl299,zip_derived_cl133,zip_derived_cl4,zip_derived_cl5,zip_derived_cl54,zip_derived_cl108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.25 % Problem : NUM737^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.26 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ffV1K6NEr2 true
% 0.09/0.49 % Computer : n009.cluster.edu
% 0.09/0.49 % Model : x86_64 x86_64
% 0.09/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.49 % Memory : 8042.1875MB
% 0.09/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.49 % CPULimit : 300
% 0.09/0.49 % WCLimit : 300
% 0.09/0.49 % DateTime : Wed Oct 1 16:49:23 EDT 2025
% 0.09/0.49 % CPUTime :
% 0.09/0.49 % Running portfolio for 300 s
% 0.09/0.49 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.49 % Number of cores: 8
% 0.09/0.50 % Python version: Python 3.6.8
% 0.09/0.50 % Running in HO mode
% 0.29/0.81 % Total configuration time : 828
% 0.29/0.81 % Estimated wc time : 1656
% 0.29/0.81 % Estimated cpu time (8 cpus) : 207.0
% 0.30/0.89 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.30/0.89 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.30/0.92 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.30/0.96 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.30/0.96 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.30/1.00 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.30/1.03 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.30/1.04 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 57.10/10.04 % Solved by lams/15_e_short1.sh.
% 57.10/10.04 % done 154 iterations in 8.942s
% 57.10/10.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 57.10/10.04 % SZS output start Refutation
% See solution above
% 57.10/10.04
% 57.10/10.04
% 57.10/10.04 % Terminating...
% 57.68/10.23 % Runner terminated.
% 57.73/10.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------