%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM750^1 : 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.b9qQDjPLZN true
% Computer : n008.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 04:48:13 PM UTC 2025
% Result : Theorem 0.55s 0.86s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 158 ( 7 ~; 4 |; 0 &; 123 @)
% ( 0 <=>; 13 =>; 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 : 7 ( 5 usr; 5 con; 0-2 aty)
% ( 11 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 35 ( 11 ^; 24 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(frac_type,type,
frac: $tType ).
thf(eq_type,type,
eq: frac > frac > $o ).
thf(y_type,type,
y: frac ).
thf(pf_type,type,
pf: frac > frac > frac ).
thf(z_type,type,
z: frac ).
thf(x_type,type,
x: frac ).
thf(satz62b,conjecture,
eq @ ( pf @ x @ z ) @ ( pf @ y @ z ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( eq @ ( pf @ x @ z ) @ ( pf @ y @ z ) ),
inference('cnf.neg',[status(esa)],[satz62b]) ).
thf(zip_derived_cl3,plain,
~ ( eq @ ( pf @ x @ z ) @ ( pf @ y @ z ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(satz56,axiom,
! [Xx: frac,Xy: frac,Xz: frac,Xu: frac] :
( ( eq @ Xx @ Xy )
=> ( ( eq @ Xz @ Xu )
=> ( eq @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xu ) ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( !!
@ ^ [Y3: frac] :
( ( eq @ Y0 @ Y1 )
=> ( ( eq @ Y2 @ Y3 )
=> ( eq @ ( pf @ Y0 @ Y2 ) @ ( pf @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz56]) ).
thf(zip_derived_cl5,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( ( eq @ X2 @ Y0 )
=> ( ( eq @ Y1 @ Y2 )
=> ( eq @ ( pf @ X2 @ Y1 ) @ ( pf @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: frac,X4: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( eq @ X2 @ X4 )
=> ( ( eq @ Y0 @ Y1 )
=> ( eq @ ( pf @ X2 @ Y0 ) @ ( pf @ X4 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: frac,X4: frac,X6: frac] :
( !!
@ ^ [Y0: frac] :
( ( eq @ X2 @ X4 )
=> ( ( eq @ X6 @ Y0 )
=> ( eq @ ( pf @ X2 @ X6 ) @ ( pf @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: frac,X4: frac,X6: frac,X8: frac] :
( ( eq @ X2 @ X4 )
=> ( ( eq @ X6 @ X8 )
=> ( eq @ ( pf @ X2 @ X6 ) @ ( pf @ X4 @ X8 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: frac,X4: frac,X6: frac,X8: frac] :
( ~ ( eq @ X2 @ X4 )
| ( ( eq @ X6 @ X8 )
=> ( eq @ ( pf @ X2 @ X6 ) @ ( pf @ X4 @ X8 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: frac,X4: frac,X6: frac,X8: frac] :
( ~ ( eq @ X6 @ X8 )
| ( eq @ ( pf @ X2 @ X6 ) @ ( pf @ X4 @ X8 ) )
| ~ ( eq @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
( ~ ( eq @ x @ y )
| ~ ( eq @ z @ z ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(e,axiom,
eq @ x @ y ).
thf(zip_derived_cl0,plain,
eq @ x @ y,
inference(cnf,[status(esa)],[e]) ).
thf(satz37,axiom,
! [Xx: frac] : ( eq @ Xx @ Xx ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: frac] : ( eq @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[satz37]) ).
thf(zip_derived_cl4,plain,
! [X2: frac] : ( eq @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl15,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl0,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.21 % Problem : NUM750^1 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.22 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.b9qQDjPLZN true
% 0.13/0.44 % Computer : n008.cluster.edu
% 0.13/0.44 % Model : x86_64 x86_64
% 0.13/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.44 % Memory : 8042.1875MB
% 0.13/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.44 % CPULimit : 300
% 0.13/0.44 % WCLimit : 300
% 0.13/0.44 % DateTime : Wed Oct 1 16:41:54 EDT 2025
% 0.13/0.44 % CPUTime :
% 0.13/0.44 % Running portfolio for 300 s
% 0.13/0.44 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.45 % Number of cores: 8
% 0.13/0.45 % Python version: Python 3.6.8
% 0.13/0.45 % Running in HO mode
% 0.55/0.77 % Total configuration time : 828
% 0.55/0.77 % Estimated wc time : 1656
% 0.55/0.77 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.86 % Solved by lams/35_full_unif4.sh.
% 0.55/0.86 % done 3 iterations in 0.010s
% 0.55/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.86 % SZS output start Refutation
% See solution above
% 0.55/0.86
% 0.55/0.86
% 0.55/0.86 % Terminating...
% 0.58/0.88 % Runner terminated.
% 1.62/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------