%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM747^1 : 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.VB7RHIiYFZ 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 04:48:12 PM UTC 2025
% Result : Theorem 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 154 ( 3 ~; 1 |; 0 &; 137 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% ( 9 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 28 ( 9 ^; 19 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(frac_type,type,
frac: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(pf_type,type,
pf: frac > frac > frac ).
thf(x2_type,type,
x2: nat ).
thf(fr_type,type,
fr: nat > nat > frac ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(eq_type,type,
eq: frac > frac > $o ).
thf(n_type,type,
n: nat ).
thf(x1_type,type,
x1: nat ).
thf(satz57a,conjecture,
eq @ ( fr @ ( pl @ x1 @ x2 ) @ n ) @ ( pf @ ( fr @ x1 @ n ) @ ( fr @ x2 @ n ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( eq @ ( fr @ ( pl @ x1 @ x2 ) @ n ) @ ( pf @ ( fr @ x1 @ n ) @ ( fr @ x2 @ n ) ) ),
inference('cnf.neg',[status(esa)],[satz57a]) ).
thf(zip_derived_cl2,plain,
~ ( eq @ ( fr @ ( pl @ x1 @ x2 ) @ n ) @ ( pf @ ( fr @ x1 @ n ) @ ( fr @ x2 @ n ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(satz57,axiom,
! [Xx1: nat,Xx2: nat,Xn: nat] : ( eq @ ( pf @ ( fr @ Xx1 @ Xn ) @ ( fr @ Xx2 @ Xn ) ) @ ( fr @ ( pl @ Xx1 @ Xx2 ) @ Xn ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] : ( eq @ ( pf @ ( fr @ Y0 @ Y2 ) @ ( fr @ Y1 @ Y2 ) ) @ ( fr @ ( pl @ Y0 @ Y1 ) @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[satz57]) ).
thf(zip_derived_cl8,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] : ( eq @ ( pf @ ( fr @ X2 @ Y1 ) @ ( fr @ Y0 @ Y1 ) ) @ ( fr @ ( pl @ X2 @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] : ( eq @ ( pf @ ( fr @ X2 @ Y0 ) @ ( fr @ X4 @ Y0 ) ) @ ( fr @ ( pl @ X2 @ X4 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: nat,X4: nat,X6: nat] : ( eq @ ( pf @ ( fr @ X2 @ X6 ) @ ( fr @ X4 @ X6 ) ) @ ( fr @ ( pl @ X2 @ X4 ) @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(satz38,axiom,
! [Xx: frac,Xy: frac] :
( ( eq @ Xx @ Xy )
=> ( eq @ Xy @ Xx ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( eq @ Y0 @ Y1 )
=> ( eq @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz38]) ).
thf(zip_derived_cl3,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( ( eq @ X2 @ Y0 )
=> ( eq @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
! [X2: frac,X4: frac] :
( ( eq @ X2 @ X4 )
=> ( eq @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: frac,X4: frac] :
( ~ ( eq @ X2 @ X4 )
| ( eq @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X0: nat,X1: nat,X2: nat] : ( eq @ ( fr @ ( pl @ X2 @ X1 ) @ X0 ) @ ( pf @ ( fr @ X2 @ X0 ) @ ( fr @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM747^1 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VB7RHIiYFZ true
% 0.13/0.36 % Computer : n009.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:32:08 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.56/0.65 % Total configuration time : 828
% 0.56/0.65 % Estimated wc time : 1656
% 0.56/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77 % Solved by lams/35_full_unif4.sh.
% 0.57/0.77 % done 3 iterations in 0.009s
% 0.57/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.77 % SZS output start Refutation
% See solution above
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 % Terminating...
% 0.58/0.85 % Runner terminated.
% 1.80/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------