%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG270^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q7Tg1JrnSw 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 04:28:32 PM UTC 2025
% Result : Theorem 0.43s 2.22s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 93 ( 3 ~; 0 |; 0 &; 88 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk__2_type,type,
sk__2: a ).
thf(sk__type,type,
sk_: a ).
thf(sk__1_type,type,
sk__1: a ).
thf(c_star_type,type,
c_star: a > a > a ).
thf(sk__3_type,type,
sk__3: a ).
thf(cTHM23_pme,conjecture,
( ! [Xx: a,Xy: a,Xz: a] :
( ( c_star @ ( c_star @ Xx @ Xy ) @ Xz )
= ( c_star @ Xx @ ( c_star @ Xy @ Xz ) ) )
=> ! [W: a,X: a,Y: a,Z: a] :
( ( c_star @ ( c_star @ ( c_star @ W @ X ) @ Y ) @ Z )
= ( c_star @ W @ ( c_star @ X @ ( c_star @ Y @ Z ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xx: a,Xy: a,Xz: a] :
( ( c_star @ ( c_star @ Xx @ Xy ) @ Xz )
= ( c_star @ Xx @ ( c_star @ Xy @ Xz ) ) )
=> ! [W: a,X: a,Y: a,Z: a] :
( ( c_star @ ( c_star @ ( c_star @ W @ X ) @ Y ) @ Z )
= ( c_star @ W @ ( c_star @ X @ ( c_star @ Y @ Z ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM23_pme]) ).
thf(zip_derived_cl1,plain,
( ( c_star @ ( c_star @ ( c_star @ sk_ @ sk__1 ) @ sk__2 ) @ sk__3 )
!= ( c_star @ sk_ @ ( c_star @ sk__1 @ ( c_star @ sk__2 @ sk__3 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: a,X1: a,X2: a] :
( ( c_star @ ( c_star @ X0 @ X1 ) @ X2 )
= ( c_star @ X0 @ ( c_star @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: a,X1: a,X2: a] :
( ( c_star @ ( c_star @ X0 @ X1 ) @ X2 )
= ( c_star @ X0 @ ( c_star @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_002,plain,
! [X0: a,X1: a,X2: a] :
( ( c_star @ ( c_star @ X0 @ X1 ) @ X2 )
= ( c_star @ X0 @ ( c_star @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
( ( c_star @ sk_ @ ( c_star @ sk__1 @ ( c_star @ sk__2 @ sk__3 ) ) )
!= ( c_star @ sk_ @ ( c_star @ sk__1 @ ( c_star @ sk__2 @ sk__3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl11,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.82 % Problem : ALG270^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.90 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q7Tg1JrnSw true
% 0.12/1.24 % Computer : n008.cluster.edu
% 0.12/1.24 % Model : x86_64 x86_64
% 0.12/1.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.24 % Memory : 8042.1875MB
% 0.12/1.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/1.24 % CPULimit : 300
% 0.12/1.24 % WCLimit : 300
% 0.12/1.24 % DateTime : Wed Oct 1 16:58:24 EDT 2025
% 0.12/1.25 % CPUTime :
% 0.12/1.25 % Running portfolio for 300 s
% 0.12/1.25 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/1.27 % Number of cores: 8
% 0.16/1.29 % Python version: Python 3.6.8
% 0.16/1.30 % Running in HO mode
% 0.40/1.83 % Total configuration time : 828
% 0.40/1.83 % Estimated wc time : 1656
% 0.40/1.83 % Estimated cpu time (8 cpus) : 207.0
% 0.42/2.01 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.43/2.19 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.43/2.22 % Solved by lams/40_c.s.sh.
% 0.43/2.22 % done 1 iterations in 0.023s
% 0.43/2.22 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/2.22 % SZS output start Refutation
% See solution above
% 0.43/2.22
% 0.43/2.22
% 0.43/2.22 % Terminating...
% 1.41/2.63 % Runner terminated.
% 1.41/2.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------