%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM684^1 : 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.XHx7ixjV7Q true
% Computer : n007.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 04:47:59 PM UTC 2025
% Result : Theorem 0.51s 0.72s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 49 ( 3 ~; 1 |; 0 &; 44 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': nat > nat > nat ).
thf(y_type,type,
y: nat ).
thf(z_type,type,
z: nat ).
thf(x_type,type,
x: nat ).
thf(i,axiom,
( ( pl @ z @ x )
= ( pl @ z @ y ) ) ).
thf(zip_derived_cl0,plain,
( ( pl @ z @ x )
= ( pl @ z @ y ) ),
inference(cnf,[status(esa)],[i]) ).
thf(satz6,axiom,
! [Xx: nat,Xy: nat] :
( ( pl @ Xx @ Xy )
= ( pl @ Xy @ Xx ) ) ).
thf(zip_derived_cl2,plain,
! [X0: nat,X1: nat] :
( ( pl @ X1 @ X0 )
= ( pl @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz6]) ).
thf(zip_derived_cl2_001,plain,
! [X0: nat,X1: nat] :
( ( pl @ X1 @ X0 )
= ( pl @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz6]) ).
thf(zip_derived_cl4,plain,
( ( pl @ x @ z )
= ( pl @ y @ z ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl2,zip_derived_cl2]) ).
thf(satz20b,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ( pl @ Xx @ Xz )
= ( pl @ Xy @ Xz ) )
=> ( Xx = Xy ) ) ).
thf(zip_derived_cl1,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( X1 = X0 )
| ( ( pl @ X1 @ X2 )
!= ( pl @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[satz20b]) ).
thf(zip_derived_cl20,plain,
! [X1: nat,X2: nat] :
( ( '#_fresh_sk1' @ X2 @ ( pl @ X1 @ X2 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl36,plain,
( ( '#_fresh_sk1' @ z @ ( pl @ x @ z ) )
= y ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl20]) ).
thf(zip_derived_cl20_002,plain,
! [X1: nat,X2: nat] :
( ( '#_fresh_sk1' @ X2 @ ( pl @ X1 @ X2 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl44,plain,
x = y,
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl20]) ).
thf(satz20e,conjecture,
x = y ).
thf(zf_stmt_0,negated_conjecture,
x != y,
inference('cnf.neg',[status(esa)],[satz20e]) ).
thf(zip_derived_cl3,plain,
x != y,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl44,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM684^1 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XHx7ixjV7Q true
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:18:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.50/0.63 % Total configuration time : 828
% 0.50/0.63 % Estimated wc time : 1656
% 0.50/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.72 % Solved by lams/40_c.s.sh.
% 0.51/0.72 % done 5 iterations in 0.013s
% 0.51/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.72 % SZS output start Refutation
% See solution above
% 0.51/0.72
% 0.51/0.72
% 0.51/0.73 % Terminating...
% 0.59/0.82 % Runner terminated.
% 0.59/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------