%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM713^1 : 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.cZ3K3GPogX true
% Computer : n017.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 04:48:07 PM UTC 2025
% Result : Theorem 0.58s 0.77s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 14 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 87 ( 9 ~; 0 |; 0 &; 78 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(y_type,type,
y: nat ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(z_type,type,
z: nat ).
thf(x_type,type,
x: nat ).
thf(sk__type,type,
sk_: nat ).
thf(m,axiom,
~ ! [Xx_0: nat] :
( x
!= ( pl @ y @ Xx_0 ) ) ).
thf(zip_derived_cl0,plain,
( x
= ( pl @ y @ sk_ ) ),
inference(cnf,[status(esa)],[m]) ).
thf(satz29,axiom,
! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ) ).
thf(zip_derived_cl2,plain,
! [X0: nat,X1: nat] :
( ( ts @ X1 @ X0 )
= ( ts @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(satz30,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ Xx @ ( pl @ Xy @ Xz ) )
= ( pl @ ( ts @ Xx @ Xy ) @ ( ts @ Xx @ Xz ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( pl @ X1 @ X2 ) )
= ( pl @ ( ts @ X0 @ X1 ) @ ( ts @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[satz30]) ).
thf(zip_derived_cl5,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( pl @ X1 @ X2 ) )
= ( pl @ ( ts @ X1 @ X0 ) @ ( ts @ X0 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(satz32a,conjecture,
~ ! [Xx_0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ Xx_0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
! [Xx_0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ Xx_0 ) ),
inference('cnf.neg',[status(esa)],[satz32a]) ).
thf(zip_derived_cl4,plain,
! [X0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X0: nat] :
( ( ts @ x @ z )
!= ( ts @ z @ ( pl @ y @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl25,plain,
( ( ts @ x @ z )
!= ( ts @ z @ x ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).
thf(zip_derived_cl2_001,plain,
! [X0: nat,X1: nat] :
( ( ts @ X1 @ X0 )
= ( ts @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl27,plain,
( ( ts @ x @ z )
!= ( ts @ x @ z ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl2]) ).
thf(zip_derived_cl28,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM713^1 : TPTP v9.2.0. Released v3.7.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cZ3K3GPogX true
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:26:53 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
% 0.14/0.37 % Running in HO mode
% 0.55/0.70 % Total configuration time : 828
% 0.55/0.70 % Estimated wc time : 1656
% 0.55/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % Solved by lams/40_c.s.sh.
% 0.58/0.77 % done 8 iterations in 0.011s
% 0.58/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.77 % SZS output start Refutation
% See solution above
% 0.58/0.77
% 0.58/0.77
% 0.58/0.77 % Terminating...
% 1.75/0.88 % Runner terminated.
% 1.75/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------