%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG001^5 : 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.z6f92mCYYA 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 04:27:16 PM UTC 2025
% Result : Theorem 0.49s 0.70s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 87 ( 3 ~; 0 |; 2 &; 80 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(g_type,type,
g: $tType ).
thf(a_type,type,
a: $tType ).
thf(sk__2_type,type,
sk__2: g > g > g ).
thf(sk__1_type,type,
sk__1: b > a ).
thf(sk__5_type,type,
sk__5: g ).
thf(sk__6_type,type,
sk__6: g ).
thf(sk__4_type,type,
sk__4: a > a > a ).
thf(sk__3_type,type,
sk__3: b > b > b ).
thf(sk__type,type,
sk_: g > b ).
thf(cTHM133_pme,conjecture,
! [Xh1: g > b,Xh2: b > a,Xf1: g > g > g,Xf2: b > b > b,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) )
=> ! [Xx: g,Xy: g] :
( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xh1: g > b,Xh2: b > a,Xf1: g > g > g,Xf2: b > b > b,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) )
=> ! [Xx: g,Xy: g] :
( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM133_pme]) ).
thf(zip_derived_cl0,plain,
( ( sk__1 @ ( sk_ @ ( sk__2 @ sk__5 @ sk__6 ) ) )
!= ( sk__4 @ ( sk__1 @ ( sk_ @ sk__5 ) ) @ ( sk__1 @ ( sk_ @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: b,X1: b] :
( ( sk__1 @ ( sk__3 @ X0 @ X1 ) )
= ( sk__4 @ ( sk__1 @ X0 ) @ ( sk__1 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X2: g,X3: g] :
( ( sk_ @ ( sk__2 @ X2 @ X3 ) )
= ( sk__3 @ ( sk_ @ X2 ) @ ( sk_ @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
( ( sk__1 @ ( sk_ @ ( sk__2 @ sk__5 @ sk__6 ) ) )
!= ( sk__1 @ ( sk_ @ ( sk__2 @ sk__5 @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG001^5 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z6f92mCYYA true
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:02:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.36 % Running in HO mode
% 0.48/0.60 % Total configuration time : 828
% 0.48/0.60 % Estimated wc time : 1656
% 0.48/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.70 % Solved by lams/40_c.s.sh.
% 0.49/0.70 % done 2 iterations in 0.009s
% 0.49/0.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.70 % SZS output start Refutation
% See solution above
% 0.49/0.70
% 0.49/0.70
% 0.49/0.70 % Terminating...
% 0.54/0.82 % Runner terminated.
% 0.54/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------