TSTP Solution File: ALG279^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG279^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U4gyBSbVZj true
% Computer : n012.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 : Wed Aug 30 17:12:42 EDT 2023
% Result : Theorem 1.23s 0.81s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 26 unt; 7 typ; 0 def)
% Number of atoms : 50 ( 41 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 144 ( 3 ~; 0 |; 6 &; 132 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 12 ^; 52 !; 5 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(g_type,type,
g: $tType ).
thf(cGRP_RIGHT_UNIT_type,type,
cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).
thf(sk__6_type,type,
sk__6: g > g ).
thf(sk__5_type,type,
sk__5: g ).
thf(cGRP_RIGHT_INVERSE_type,type,
cGRP_RIGHT_INVERSE: ( g > g > g ) > g > $o ).
thf(sk__3_type,type,
sk__3: g > g > g ).
thf(sk__4_type,type,
sk__4: g ).
thf(cGRP_RIGHT_UNIT_def,axiom,
( cGRP_RIGHT_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( Xf @ Xa @ Xe )
= Xa ) ) ) ).
thf('0',plain,
( cGRP_RIGHT_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( Xf @ Xa @ Xe )
= Xa ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_RIGHT_UNIT_def]) ).
thf('1',plain,
( cGRP_RIGHT_UNIT
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
( ( V_1 @ X4 @ V_2 )
= X4 ) ) ),
define([status(thm)]) ).
thf(cGRP_RIGHT_INVERSE_def,axiom,
( cGRP_RIGHT_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( Xf @ Xa @ Xb )
= Xe ) ) ) ).
thf('2',plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( Xf @ Xa @ Xb )
= Xe ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_RIGHT_INVERSE_def]) ).
thf('3',plain,
( cGRP_RIGHT_INVERSE
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
? [X6: g] :
( ( V_1 @ X4 @ X6 )
= V_2 ) ) ),
define([status(thm)]) ).
thf(cE13A2A,conjecture,
! [Xf: g > g > g,Xe: g] :
( ( ! [Xb: g,Xc: g,Xa: g] :
( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
= ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) )
& ( cGRP_RIGHT_UNIT @ Xf @ Xe )
& ( cGRP_RIGHT_INVERSE @ Xf @ Xe ) )
=> ! [Xa: g] :
( ( Xf @ Xe @ Xa )
= Xa ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: g > g > g,X6: g] :
( ( ! [X8: g,X10: g,X12: g] :
( ( X4 @ ( X4 @ X12 @ X8 ) @ X10 )
= ( X4 @ X12 @ ( X4 @ X8 @ X10 ) ) )
& ! [X14: g] :
( ( X4 @ X14 @ X6 )
= X14 )
& ! [X16: g] :
? [X18: g] :
( ( X4 @ X16 @ X18 )
= X6 ) )
=> ! [X20: g] :
( ( X4 @ X6 @ X20 )
= X20 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: g > g > g,X6: g] :
( ( ! [X8: g,X10: g,X12: g] :
( ( X4 @ ( X4 @ X12 @ X8 ) @ X10 )
= ( X4 @ X12 @ ( X4 @ X8 @ X10 ) ) )
& ! [X14: g] :
( ( X4 @ X14 @ X6 )
= X14 )
& ! [X16: g] :
? [X18: g] :
( ( X4 @ X16 @ X18 )
= X6 ) )
=> ! [X20: g] :
( ( X4 @ X6 @ X20 )
= X20 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
( ( sk__3 @ sk__4 @ sk__5 )
!= sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: g] :
( ( sk__3 @ X0 @ ( sk__6 @ X0 ) )
= sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_001,plain,
! [X0: g] :
( ( sk__3 @ X0 @ ( sk__6 @ X0 ) )
= sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: g,X3: g,X4: g] :
( ( sk__3 @ ( sk__3 @ X2 @ X3 ) @ X4 )
= ( sk__3 @ X2 @ ( sk__3 @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X0: g,X1: g] :
( ( sk__3 @ sk__4 @ X0 )
= ( sk__3 @ X1 @ ( sk__3 @ ( sk__6 @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl125,plain,
! [X0: g] :
( ( sk__3 @ sk__4 @ ( sk__6 @ ( sk__6 @ X0 ) ) )
= ( sk__3 @ X0 @ sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(zip_derived_cl2,plain,
! [X1: g] :
( ( sk__3 @ X1 @ sk__4 )
= X1 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl145,plain,
! [X0: g] :
( ( sk__3 @ sk__4 @ ( sk__6 @ ( sk__6 @ X0 ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl2]) ).
thf(zip_derived_cl2_002,plain,
! [X1: g] :
( ( sk__3 @ X1 @ sk__4 )
= X1 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_003,plain,
! [X2: g,X3: g,X4: g] :
( ( sk__3 @ ( sk__3 @ X2 @ X3 ) @ X4 )
= ( sk__3 @ X2 @ ( sk__3 @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_004,plain,
! [X0: g] :
( ( sk__3 @ X0 @ ( sk__6 @ X0 ) )
= sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: g,X1: g] :
( ( sk__3 @ X1 @ ( sk__3 @ X0 @ ( sk__6 @ ( sk__3 @ X1 @ X0 ) ) ) )
= sk__4 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl63,plain,
! [X0: g] :
( ( sk__3 @ X0 @ ( sk__3 @ sk__4 @ ( sk__6 @ X0 ) ) )
= sk__4 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl168,plain,
! [X0: g] :
( ( sk__3 @ ( sk__6 @ X0 ) @ X0 )
= sk__4 ),
inference('sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl63]) ).
thf(zip_derived_cl8_005,plain,
! [X0: g,X1: g] :
( ( sk__3 @ sk__4 @ X0 )
= ( sk__3 @ X1 @ ( sk__3 @ ( sk__6 @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl176,plain,
! [X0: g] :
( ( sk__3 @ sk__4 @ X0 )
= ( sk__3 @ X0 @ sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl8]) ).
thf(zip_derived_cl2_006,plain,
! [X1: g] :
( ( sk__3 @ X1 @ sk__4 )
= X1 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl188,plain,
! [X0: g] :
( ( sk__3 @ sk__4 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl2]) ).
thf(zip_derived_cl207,plain,
sk__5 != sk__5,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl188]) ).
thf(zip_derived_cl208,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG279^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U4gyBSbVZj true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 04:30:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.20/0.68 % Total configuration time : 828
% 0.20/0.68 % Estimated wc time : 1656
% 0.20/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.23/0.81 % Solved by lams/40_c.s.sh.
% 1.23/0.81 % done 22 iterations in 0.028s
% 1.23/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.23/0.81 % SZS output start Refutation
% See solution above
% 1.23/0.81
% 1.23/0.81
% 1.23/0.81 % Terminating...
% 1.99/0.88 % Runner terminated.
% 1.99/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------