TSTP Solution File: SET587+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JyxBmZ2zWk true
% Computer : n028.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 16:14:44 EDT 2023
% Result : Theorem 0.21s 0.81s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 75 ( 9 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 247 ( 23 ~; 30 |; 2 &; 186 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(difference_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ( member @ ( sk__1 @ X2 @ ( difference @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).
thf(zip_derived_cl8_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(prove_difference_empty_set,conjecture,
! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ),
inference('cnf.neg',[status(esa)],[prove_difference_empty_set]) ).
thf(zip_derived_cl19,plain,
( ( subset @ sk__4 @ sk__5 )
| ( ( difference @ sk__4 @ sk__5 )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ( subset @ sk__4 @ sk__5 )
| ( member @ X0 @ empty_set )
| ( member @ X0 @ sk__5 )
| ~ ( member @ X0 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl4]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl133,plain,
! [X0: $i] :
( ( subset @ sk__4 @ sk__5 )
| ( member @ X0 @ sk__5 )
| ~ ( member @ X0 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl5]) ).
thf(zip_derived_cl159,plain,
! [X0: $i] :
( ( subset @ sk__4 @ X0 )
| ( subset @ sk__4 @ sk__5 )
| ( member @ ( sk__1 @ X0 @ sk__4 ) @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl133]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl244,plain,
( ( subset @ sk__4 @ sk__5 )
| ( subset @ sk__4 @ sk__5 )
| ( subset @ sk__4 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl7]) ).
thf(zip_derived_cl245,plain,
subset @ sk__4 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl247,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__4 )
| ( member @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl6]) ).
thf(zip_derived_cl8_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ~ ( member @ ( sk__1 @ X2 @ ( difference @ X1 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).
thf(zip_derived_cl257,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X1 @ ( difference @ X0 @ sk__5 ) ) @ sk__4 )
| ( subset @ ( difference @ X0 @ sk__5 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl157]) ).
thf(zip_derived_cl342,plain,
! [X0: $i] :
( ( subset @ ( difference @ sk__4 @ sk__5 ) @ X0 )
| ( subset @ ( difference @ sk__4 @ sk__5 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl257]) ).
thf(zip_derived_cl345,plain,
! [X0: $i] : ( subset @ ( difference @ sk__4 @ sk__5 ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl342]) ).
thf(zip_derived_cl8_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl5_004,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl158,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl163,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl11]) ).
thf(zip_derived_cl366,plain,
( ( difference @ sk__4 @ sk__5 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl163]) ).
thf(zip_derived_cl20,plain,
( ~ ( subset @ sk__4 @ sk__5 )
| ( ( difference @ sk__4 @ sk__5 )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl245_005,plain,
subset @ sk__4 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl246,plain,
( ( difference @ sk__4 @ sk__5 )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl245]) ).
thf(zip_derived_cl367,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl366,zip_derived_cl246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JyxBmZ2zWk true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Sat Aug 26 08:58:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.81 % Solved by fo/fo6_bce.sh.
% 0.21/0.81 % BCE start: 21
% 0.21/0.81 % BCE eliminated: 0
% 0.21/0.81 % PE start: 21
% 0.21/0.81 logic: eq
% 0.21/0.81 % PE eliminated: 1
% 0.21/0.81 % done 95 iterations in 0.071s
% 0.21/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.81 % SZS output start Refutation
% See solution above
% 0.21/0.81
% 0.21/0.81
% 0.21/0.81 % Terminating...
% 1.29/0.85 % Runner terminated.
% 1.29/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------