%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM728^1 : 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.zPsSB2Mv8W 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 04:48:08 PM UTC 2025
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 74 ( 4 ~; 1 |; 0 &; 68 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(frac_type,type,
frac: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(eq_type,type,
eq: frac > frac > $o ).
thf(c2x_type,type,
c2x: frac > nat ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(c1x_type,type,
c1x: frac > nat ).
thf(fr_type,type,
fr: nat > nat > frac ).
thf(n_type,type,
n: nat ).
thf(x_type,type,
x: frac ).
thf(satz38,axiom,
! [Xx: frac,Xy: frac] :
( ( eq @ Xx @ Xy )
=> ( eq @ Xy @ Xx ) ) ).
thf(zip_derived_cl0,plain,
! [X0: frac,X1: frac] :
( ( eq @ X0 @ X1 )
| ~ ( eq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[satz38]) ).
thf(satz40a,conjecture,
eq @ ( fr @ ( ts @ ( c1x @ x ) @ n ) @ ( ts @ ( c2x @ x ) @ n ) ) @ x ).
thf(zf_stmt_0,negated_conjecture,
~ ( eq @ ( fr @ ( ts @ ( c1x @ x ) @ n ) @ ( ts @ ( c2x @ x ) @ n ) ) @ x ),
inference('cnf.neg',[status(esa)],[satz40a]) ).
thf(zip_derived_cl2,plain,
~ ( eq @ ( fr @ ( ts @ ( c1x @ x ) @ n ) @ ( ts @ ( c2x @ x ) @ n ) ) @ x ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
~ ( eq @ x @ ( fr @ ( ts @ ( c1x @ x ) @ n ) @ ( ts @ ( c2x @ x ) @ n ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(satz40,axiom,
! [Xx: frac,Xn: nat] : ( eq @ Xx @ ( fr @ ( ts @ ( c1x @ Xx ) @ Xn ) @ ( ts @ ( c2x @ Xx ) @ Xn ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: frac,X1: nat] : ( eq @ X0 @ ( fr @ ( ts @ ( c1x @ X0 ) @ X1 ) @ ( ts @ ( c2x @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[satz40]) ).
thf(zip_derived_cl15,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM728^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zPsSB2Mv8W true
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:24:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.68 % Total configuration time : 828
% 0.56/0.68 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76 % Solved by lams/40_c.s.sh.
% 0.58/0.76 % done 2 iterations in 0.014s
% 0.58/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.76 % SZS output start Refutation
% See solution above
% 0.58/0.76
% 0.58/0.76
% 0.58/0.76 % Terminating...
% 1.58/0.78 % Runner terminated.
% 1.58/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------