TSTP Solution File: SET175+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET175+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.ph9RhmnZyg true
% Computer : n019.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 16:13:15 EDT 2023
% Result : Theorem 31.57s 5.19s
% Output : Refutation 31.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 63 ( 11 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 260 ( 12 ~; 23 |; 2 &; 218 @)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 ^; 69 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(prove_absorbtion_for_union,conjecture,
! [B: $i,C: $i] :
( ( union @ B @ ( intersection @ B @ C ) )
= B ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( union @ B @ ( intersection @ B @ C ) )
= B ),
inference('cnf.neg',[status(esa)],[prove_absorbtion_for_union]) ).
thf(zip_derived_cl19,plain,
( ( union @ sk__2 @ ( intersection @ sk__2 @ sk__3 ) )
!= sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(union_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( union @ B @ C ) )
<=> ( ( member @ D @ B )
| ( member @ D @ C ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ ( union @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( union @ X1 @ X0 ) ) @ X0 )
| ( member @ ( sk_ @ X2 @ ( union @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ ( union @ X1 @ X0 ) ) @ X1 )
| ( subset @ ( union @ X1 @ X0 ) @ X0 )
| ( subset @ ( union @ X1 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl12]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ X0 )
| ( member @ ( sk_ @ X0 @ ( union @ X1 @ X0 ) ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ ( intersection @ X1 @ X0 ) @ X2 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( union @ ( intersection @ X1 @ X0 ) @ X2 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl3]) ).
thf(zip_derived_cl12_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl9808,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( union @ ( intersection @ X0 @ X1 ) @ X0 ) @ X0 )
| ( subset @ ( union @ ( intersection @ X0 @ X1 ) @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl12]) ).
thf(commutativity_of_union,axiom,
! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl9_002,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl9871,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( union @ X0 @ ( intersection @ X0 @ X1 ) ) @ X0 )
| ( subset @ ( union @ X0 @ ( intersection @ X0 @ X1 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9808,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl9872,plain,
! [X0: $i,X1: $i] : ( subset @ ( union @ X0 @ ( intersection @ X0 @ X1 ) ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl9871]) ).
thf(zip_derived_cl13_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ ( union @ X0 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl12_004,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ ( union @ X1 @ X0 ) )
| ( subset @ X1 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl12]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] : ( subset @ X1 @ ( union @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl65]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( ( union @ X1 @ X0 )
= X1 )
| ~ ( subset @ ( union @ X1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl8]) ).
thf(zip_derived_cl12356,plain,
! [X0: $i,X1: $i] :
( ( union @ X0 @ ( intersection @ X0 @ X1 ) )
= X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9872,zip_derived_cl69]) ).
thf(zip_derived_cl13097,plain,
sk__2 != sk__2,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl12356]) ).
thf(zip_derived_cl13098,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl13097]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET175+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.ph9RhmnZyg true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 11:59:43 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.71 % Total configuration time : 435
% 0.20/0.71 % Estimated wc time : 1092
% 0.20/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.57/5.19 % Solved by fo/fo13.sh.
% 31.57/5.19 % done 1344 iterations in 4.355s
% 31.57/5.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.57/5.19 % SZS output start Refutation
% See solution above
% 31.57/5.19
% 31.57/5.19
% 31.57/5.19 % Terminating...
% 31.57/5.23 % Runner terminated.
% 31.57/5.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------