%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG278^5 : TPTP v9.2.0. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tzEEzdFkkp true
% Computer : n015.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 04:28:33 PM UTC 2025
% Result : Theorem 0.97s 1.78s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 43 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 151 ( 3 ~; 0 |; 10 &; 135 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 21 ^; 52 !; 5 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(g_type,type,
g: $tType ).
thf(sk__9_type,type,
sk__9: g > g ).
thf(cGRP_LEFT_UNIT_type,type,
cGRP_LEFT_UNIT: ( g > g > g ) > g > $o ).
thf(sk__6_type,type,
sk__6: g > g > g ).
thf(cGRP_ASSOC_type,type,
cGRP_ASSOC: ( g > g > g ) > $o ).
thf(sk__8_type,type,
sk__8: g ).
thf(cGRP_LEFT_INVERSE_type,type,
cGRP_LEFT_INVERSE: ( g > g > g ) > g > $o ).
thf(cGROUP2_type,type,
cGROUP2: ( g > g > g ) > g > $o ).
thf(sk__7_type,type,
sk__7: g ).
thf(cGROUP2_def,axiom,
( cGROUP2
= ( ^ [Xf: g > g > g,Xe: g] :
( ( cGRP_ASSOC @ Xf )
& ( cGRP_LEFT_UNIT @ Xf @ Xe )
& ( cGRP_LEFT_INVERSE @ Xf @ Xe ) ) ) ) ).
thf(cGRP_LEFT_UNIT_def,axiom,
( cGRP_LEFT_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( Xf @ Xe @ Xa )
= Xa ) ) ) ).
thf('0',plain,
( cGRP_LEFT_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( Xf @ Xe @ Xa )
= Xa ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_LEFT_UNIT_def]) ).
thf('1',plain,
( cGRP_LEFT_UNIT
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
( ( V_1 @ V_2 @ X4 )
= X4 ) ) ),
define([status(thm)]) ).
thf(cGRP_LEFT_INVERSE_def,axiom,
( cGRP_LEFT_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( Xf @ Xb @ Xa )
= Xe ) ) ) ).
thf('2',plain,
( cGRP_LEFT_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( Xf @ Xb @ Xa )
= Xe ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_LEFT_INVERSE_def]) ).
thf('3',plain,
( cGRP_LEFT_INVERSE
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
? [X6: g] :
( ( V_1 @ X6 @ X4 )
= V_2 ) ) ),
define([status(thm)]) ).
thf(cGRP_ASSOC_def,axiom,
( cGRP_ASSOC
= ( ^ [Xf: g > g > g] :
! [Xa: g,Xb: g,Xc: g] :
( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
= ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) ) ) ) ).
thf('4',plain,
( cGRP_ASSOC
= ( ^ [Xf: g > g > g] :
! [Xa: g,Xb: g,Xc: g] :
( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
= ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_ASSOC_def]) ).
thf('5',plain,
( cGRP_ASSOC
= ( ^ [V_1: g > g > g] :
! [X4: g,X6: g,X8: g] :
( ( V_1 @ ( V_1 @ X4 @ X6 ) @ X8 )
= ( V_1 @ X4 @ ( V_1 @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( cGROUP2
= ( ^ [Xf: g > g > g,Xe: g] :
( ( cGRP_ASSOC @ Xf )
& ( cGRP_LEFT_UNIT @ Xf @ Xe )
& ( cGRP_LEFT_INVERSE @ Xf @ Xe ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGROUP2_def,'1','3','5']) ).
thf('7',plain,
( cGROUP2
= ( ^ [V_1: g > g > g,V_2: g] :
( ( cGRP_ASSOC @ V_1 )
& ( cGRP_LEFT_UNIT @ V_1 @ V_2 )
& ( cGRP_LEFT_INVERSE @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cE12A1,conjecture,
! [Xf: g > g > g,Xe: g] :
( ( cGROUP2 @ Xf @ Xe )
=> ! [Xa: g] :
( ( Xf @ Xa @ Xe )
= Xa ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: g > g > g,X6: g] :
( ( ! [X8: g,X10: g,X12: g] :
( ( X4 @ ( X4 @ X8 @ X10 ) @ X12 )
= ( X4 @ X8 @ ( X4 @ X10 @ X12 ) ) )
& ! [X14: g] :
( ( X4 @ X6 @ X14 )
= X14 )
& ! [X16: g] :
? [X18: g] :
( ( X4 @ X18 @ X16 )
= X6 ) )
=> ! [X20: g] :
( ( X4 @ X20 @ X6 )
= X20 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: g > g > g,X6: g] :
( ( ! [X8: g,X10: g,X12: g] :
( ( X4 @ ( X4 @ X8 @ X10 ) @ X12 )
= ( X4 @ X8 @ ( X4 @ X10 @ X12 ) ) )
& ! [X14: g] :
( ( X4 @ X6 @ X14 )
= X14 )
& ! [X16: g] :
? [X18: g] :
( ( X4 @ X18 @ X16 )
= X6 ) )
=> ! [X20: g] :
( ( X4 @ X20 @ X6 )
= X20 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
( ( sk__6 @ sk__8 @ sk__7 )
!= sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: g] :
( ( sk__6 @ ( sk__9 @ X0 ) @ X0 )
= sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_001,plain,
! [X0: g] :
( ( sk__6 @ ( sk__9 @ X0 ) @ X0 )
= sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: g,X3: g,X4: g] :
( ( sk__6 @ ( sk__6 @ X2 @ X3 ) @ X4 )
= ( sk__6 @ X2 @ ( sk__6 @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: g,X1: g] :
( ( sk__6 @ sk__7 @ X0 )
= ( sk__6 @ ( sk__9 @ X1 ) @ ( sk__6 @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
! [X1: g] :
( ( sk__6 @ sk__7 @ X1 )
= X1 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X0: g,X1: g] :
( X0
= ( sk__6 @ ( sk__9 @ X1 ) @ ( sk__6 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl21,plain,
! [X0: g] :
( X0
= ( sk__6 @ ( sk__9 @ ( sk__9 @ X0 ) ) @ sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).
thf(zip_derived_cl12_002,plain,
! [X0: g,X1: g] :
( X0
= ( sk__6 @ ( sk__9 @ X1 ) @ ( sk__6 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl12_003,plain,
! [X0: g,X1: g] :
( X0
= ( sk__6 @ ( sk__9 @ X1 ) @ ( sk__6 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl18,plain,
! [X0: g,X1: g] :
( ( sk__6 @ X1 @ X0 )
= ( sk__6 @ ( sk__9 @ ( sk__9 @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl69,plain,
! [X0: g] :
( ( sk__6 @ X0 @ sk__7 )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).
thf(zip_derived_cl81,plain,
sk__8 != sk__8,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl69]) ).
thf(zip_derived_cl82,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.82 % Problem : ALG278^5 : TPTP v9.2.0. Bugfixed v5.3.0.
% 0.09/0.89 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tzEEzdFkkp true
% 0.11/1.22 % Computer : n015.cluster.edu
% 0.11/1.22 % Model : x86_64 x86_64
% 0.11/1.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.22 % Memory : 8042.1875MB
% 0.11/1.22 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.22 % CPULimit : 300
% 0.11/1.22 % WCLimit : 300
% 0.11/1.22 % DateTime : Wed Oct 1 17:03:39 EDT 2025
% 0.11/1.22 % CPUTime :
% 0.11/1.22 % Running portfolio for 300 s
% 0.11/1.22 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/1.22 % Number of cores: 8
% 0.14/1.23 % Python version: Python 3.6.8
% 0.14/1.23 % Running in HO mode
% 0.15/1.56 % Total configuration time : 828
% 0.15/1.56 % Estimated wc time : 1656
% 0.15/1.56 % Estimated cpu time (8 cpus) : 207.0
% 0.15/1.66 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.80/1.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.97/1.78 % Solved by lams/40_c.s.sh.
% 0.97/1.78 % done 21 iterations in 0.018s
% 0.97/1.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.97/1.78 % SZS output start Refutation
% See solution above
% 0.97/1.78
% 0.97/1.78
% 0.97/1.78 % Terminating...
% 1.14/2.29 % Runner terminated.
% 1.14/2.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------