TSTP Solution File: REL046+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL046+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0kO4JkEGxL 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 Aug 31 13:47:31 EDT 2023
% Result : Theorem 14.39s 2.77s
% Output : Refutation 14.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 27 unt; 6 typ; 0 def)
% Number of atoms : 37 ( 36 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 212 ( 6 ~; 2 |; 2 &; 200 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(join_type,type,
join: $i > $i > $i ).
thf(meet_type,type,
meet: $i > $i > $i ).
thf(complement_type,type,
complement: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(maddux4_definiton_of_meet,axiom,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(maddux1_join_commutativity,axiom,
! [X0: $i,X1: $i] :
( ( join @ X0 @ X1 )
= ( join @ X1 @ X0 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(maddux3_a_kind_of_de_Morgan,axiom,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux3_a_kind_of_de_Morgan]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl324,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ X1 @ ( complement @ X0 ) ) ) @ ( meet @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl43]) ).
thf(zip_derived_cl8881,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X1 @ X0 ) @ ( meet @ X0 @ ( complement @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl324]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( join @ X0 @ ( meet @ X1 @ X2 ) )
= ( meet @ X1 @ X2 ) )
=> ( ( ( join @ X0 @ X1 )
= X1 )
& ( ( join @ X0 @ X2 )
= X2 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( join @ X0 @ ( meet @ X1 @ X2 ) )
= ( meet @ X1 @ X2 ) )
=> ( ( ( join @ X0 @ X1 )
= X1 )
& ( ( join @ X0 @ X2 )
= X2 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( join @ sk_ @ ( meet @ sk__1 @ sk__2 ) )
= ( meet @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(maddux2_join_associativity,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ( join @ sk_ @ ( join @ ( meet @ sk__1 @ sk__2 ) @ X0 ) )
= ( join @ ( meet @ sk__1 @ sk__2 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl9073,plain,
( ( join @ sk_ @ sk__2 )
= sk__2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl8881,zip_derived_cl25]) ).
thf(zip_derived_cl14,plain,
( ( ( join @ sk_ @ sk__1 )
!= sk__1 )
| ( ( join @ sk_ @ sk__2 )
!= sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_003,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl13_005,plain,
( ( join @ sk_ @ ( meet @ sk__1 @ sk__2 ) )
= ( meet @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X2 @ X1 ) )
= ( join @ X2 @ ( join @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( join @ X0 @ ( meet @ sk__1 @ sk__2 ) )
= ( join @ sk_ @ ( join @ ( meet @ sk__1 @ sk__2 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl17]) ).
thf(zip_derived_cl245,plain,
! [X0: $i] :
( ( join @ X0 @ ( meet @ sk__1 @ sk__2 ) )
= ( join @ sk_ @ ( join @ X0 @ ( meet @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl89]) ).
thf(zip_derived_cl907,plain,
( sk__1
= ( join @ sk_ @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl245]) ).
thf(zip_derived_cl917,plain,
( ( sk__1 != sk__1 )
| ( ( join @ sk_ @ sk__2 )
!= sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl907]) ).
thf(zip_derived_cl918,plain,
( ( join @ sk_ @ sk__2 )
!= sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl917]) ).
thf(zip_derived_cl9111,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9073,zip_derived_cl918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL046+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0kO4JkEGxL true
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 19:52:48 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.78/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.78/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.78/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.78/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.78/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.78/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.39/2.77 % Solved by fo/fo6_bce.sh.
% 14.39/2.77 % BCE start: 15
% 14.39/2.77 % BCE eliminated: 0
% 14.39/2.77 % PE start: 15
% 14.39/2.77 logic: eq
% 14.39/2.77 % PE eliminated: 0
% 14.39/2.77 % done 595 iterations in 2.037s
% 14.39/2.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.39/2.77 % SZS output start Refutation
% See solution above
% 14.39/2.77
% 14.39/2.77
% 14.39/2.77 % Terminating...
% 15.14/2.86 % Runner terminated.
% 15.14/2.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------