TSTP Solution File: SET185+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET185+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.8SplWiOI60 true
% Computer : n023.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 16:13:19 EDT 2023
% Result : Theorem 0.57s 0.86s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 67 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 250 ( 14 ~; 25 |; 1 &; 204 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 ^; 57 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl5,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_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( union @ X1 @ X0 ) ) @ X1 )
| ( member @ ( sk_ @ X2 @ ( union @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ ( union @ X1 @ X0 ) ) @ X1 )
| ( subset @ ( union @ X1 @ X0 ) @ X0 )
| ( subset @ ( union @ X1 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl4]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ X0 )
| ( member @ ( sk_ @ X0 @ ( union @ X1 @ X0 ) ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl38]) ).
thf(prove_subset_union,conjecture,
! [B: $i,C: $i] :
( ( subset @ B @ C )
=> ( ( union @ B @ C )
= C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( subset @ B @ C )
=> ( ( union @ B @ C )
= C ) ),
inference('cnf.neg',[status(esa)],[prove_subset_union]) ).
thf(zip_derived_cl15,plain,
subset @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,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_cl54,plain,
! [X0: $i] :
( ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl348,plain,
! [X0: $i] :
( ( subset @ ( union @ sk__2 @ X0 ) @ X0 )
| ( member @ ( sk_ @ X0 @ ( union @ sk__2 @ X0 ) ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl54]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl399,plain,
( ( subset @ ( union @ sk__2 @ sk__3 ) @ sk__3 )
| ( subset @ ( union @ sk__2 @ sk__3 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl4]) ).
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_cl404,plain,
( ( subset @ ( union @ sk__3 @ sk__2 ) @ sk__3 )
| ( subset @ ( union @ sk__3 @ sk__2 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl405,plain,
subset @ ( union @ sk__3 @ sk__2 ) @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl404]) ).
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_cl407,plain,
( ~ ( subset @ sk__3 @ ( union @ sk__3 @ sk__2 ) )
| ( sk__3
= ( union @ sk__3 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl8]) ).
thf(zip_derived_cl5_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_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ ( union @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl4_004,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ ( union @ X1 @ X0 ) )
| ( subset @ X1 @ ( union @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl4]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] : ( subset @ X1 @ ( union @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl410,plain,
( sk__3
= ( union @ sk__3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl407,zip_derived_cl99]) ).
thf(zip_derived_cl16,plain,
( ( union @ sk__2 @ sk__3 )
!= sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_005,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl22,plain,
( ( union @ sk__3 @ sk__2 )
!= sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl9]) ).
thf(zip_derived_cl411,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl410,zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET185+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8SplWiOI60 true
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:12:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.86 % Solved by fo/fo5.sh.
% 0.57/0.86 % done 127 iterations in 0.081s
% 0.57/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.86 % SZS output start Refutation
% See solution above
% 0.57/0.86
% 0.57/0.86
% 0.57/0.86 % Terminating...
% 0.62/0.97 % Runner terminated.
% 0.62/0.98 % Zipperpin 1.5 exiting
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