%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG254^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1O4GXZzUDr true
% Computer : n020.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 04:28:27 PM UTC 2025
% Result : Theorem 0.60s 0.88s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 43 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 159 ( 7 ~; 4 |; 8 &; 128 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 12 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(subst_type,type,
subst: $tType ).
thf(sk__24_type,type,
sk__24: subst ).
thf(sk__23_type,type,
sk__23: subst ).
thf(substmonoid_type,type,
substmonoid: $o ).
thf(sk__21_type,type,
sk__21: subst ).
thf(id_type,type,
id: subst ).
thf(comp_type,type,
comp: subst > subst > subst ).
thf(sk__25_type,type,
sk__25: subst ).
thf(axidl_type,type,
axidl: $o ).
thf(axassoc_type,type,
axassoc: $o ).
thf(sk__22_type,type,
sk__22: subst ).
thf(axidr_type,type,
axidr: $o ).
thf(substmonoid_lthm_type,type,
substmonoid_lthm: $o ).
thf(substmonoid_lthm,axiom,
( substmonoid_lthm
= ( axidl
=> ( axassoc
=> ( axidr
=> substmonoid ) ) ) ) ).
thf('0',plain,
( substmonoid_lthm
= ( axidl
=> ( axassoc
=> ( axidr
=> substmonoid ) ) ) ),
define([status(thm)]) ).
thf(substmonoid,axiom,
( substmonoid
= ( ! [M: subst] :
( ( comp @ M @ id )
= M )
& ! [M: subst] :
( ( comp @ id @ M )
= M )
& ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) ) ) ).
thf('1',plain,
( substmonoid
= ( ! [X4: subst] :
( ( comp @ X4 @ id )
= X4 )
& ! [X6: subst] :
( ( comp @ id @ X6 )
= X6 )
& ! [X8: subst,X10: subst,X12: subst] :
( ( comp @ ( comp @ X8 @ X10 ) @ X12 )
= ( comp @ X8 @ ( comp @ X10 @ X12 ) ) ) ) ),
define([status(thm)]) ).
thf(axidr,axiom,
( axidr
= ( ! [M: subst] :
( ( comp @ M @ id )
= M ) ) ) ).
thf('2',plain,
( axidr
= ( ! [X4: subst] :
( ( comp @ X4 @ id )
= X4 ) ) ),
define([status(thm)]) ).
thf(axassoc,axiom,
( axassoc
= ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) ) ) ).
thf('3',plain,
( axassoc
= ( ! [X4: subst,X6: subst,X8: subst] :
( ( comp @ ( comp @ X4 @ X6 ) @ X8 )
= ( comp @ X4 @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(axidl,axiom,
( axidl
= ( ! [M: subst] :
( ( comp @ id @ M )
= M ) ) ) ).
thf('4',plain,
( axidl
= ( ! [X4: subst] :
( ( comp @ id @ X4 )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
substmonoid_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: subst] :
( ( comp @ id @ X4 )
= X4 )
=> ( ! [X6: subst,X8: subst,X10: subst] :
( ( comp @ ( comp @ X6 @ X8 ) @ X10 )
= ( comp @ X6 @ ( comp @ X8 @ X10 ) ) )
=> ( ! [X12: subst] :
( ( comp @ X12 @ id )
= X12 )
=> ( ! [X14: subst] :
( ( comp @ X14 @ id )
= X14 )
& ! [X16: subst] :
( ( comp @ id @ X16 )
= X16 )
& ! [X18: subst,X20: subst,X22: subst] :
( ( comp @ ( comp @ X18 @ X20 ) @ X22 )
= ( comp @ X18 @ ( comp @ X20 @ X22 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: subst] :
( ( comp @ id @ X4 )
= X4 )
=> ( ! [X6: subst,X8: subst,X10: subst] :
( ( comp @ ( comp @ X6 @ X8 ) @ X10 )
= ( comp @ X6 @ ( comp @ X8 @ X10 ) ) )
=> ( ! [X12: subst] :
( ( comp @ X12 @ id )
= X12 )
=> ( ! [X14: subst] :
( ( comp @ X14 @ id )
= X14 )
& ! [X16: subst] :
( ( comp @ id @ X16 )
= X16 )
& ! [X18: subst,X20: subst,X22: subst] :
( ( comp @ ( comp @ X18 @ X20 ) @ X22 )
= ( comp @ X18 @ ( comp @ X20 @ X22 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( ( ( comp @ sk__21 @ id )
!= sk__21 )
| ( ( comp @ id @ sk__22 )
!= sk__22 )
| ( ( comp @ ( comp @ sk__23 @ sk__24 ) @ sk__25 )
!= ( comp @ sk__23 @ ( comp @ sk__24 @ sk__25 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X1: subst] :
( ( comp @ X1 @ id )
= X1 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: subst] :
( ( comp @ id @ X0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: subst,X3: subst,X4: subst] :
( ( comp @ ( comp @ X2 @ X3 ) @ X4 )
= ( comp @ X2 @ ( comp @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
( ( sk__21 != sk__21 )
| ( sk__22 != sk__22 )
| ( ( comp @ sk__23 @ ( comp @ sk__24 @ sk__25 ) )
!= ( comp @ sk__23 @ ( comp @ sk__24 @ sk__25 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl23,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ALG254^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1O4GXZzUDr true
% 0.14/0.36 % Computer : n020.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 16:58:38 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
% 0.22/0.37 % Python version: Python 3.6.8
% 0.22/0.37 % Running in HO mode
% 0.58/0.70 % Total configuration time : 828
% 0.58/0.70 % Estimated wc time : 1656
% 0.58/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.88 % Solved by lams/40_c.s.sh.
% 0.60/0.88 % done 5 iterations in 0.032s
% 0.60/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.88 % SZS output start Refutation
% See solution above
% 0.60/0.88
% 0.60/0.88
% 0.60/0.89 % Terminating...
% 0.67/1.00 % Runner terminated.
% 0.67/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------