TSTP Solution File: SET611+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET611+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DY2UBiPzDR 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 16:15:00 EDT 2023
% Result : Theorem 210.29s 30.64s
% Output : Refutation 210.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 79 ( 17 unt; 10 typ; 0 def)
% Number of atoms : 138 ( 35 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 473 ( 47 ~; 58 |; 3 &; 357 @)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 103 ( 0 ^; 103 !; 0 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
thf(difference_type,type,
difference: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__2 @ 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_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ( member @ ( sk__2 @ X2 @ ( difference @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl5]) ).
thf(zip_derived_cl3907,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( difference @ X0 @ X1 ) @ X0 )
| ( subset @ ( difference @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl85]) ).
thf(zip_derived_cl3923,plain,
! [X0: $i,X1: $i] : ( subset @ ( difference @ X0 @ X1 ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl3907]) ).
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_cl3991,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ X0 @ ( difference @ X0 @ X1 ) )
| ( X0
= ( difference @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3923,zip_derived_cl11]) ).
thf(zip_derived_cl19_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(empty_defn,axiom,
! [B: $i] :
( ( empty @ B )
<=> ! [C: $i] :
~ ( member @ C @ B ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( member @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk__3 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl2]) ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl54_002,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk__3 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl2]) ).
thf(prove_th84,conjecture,
! [B: $i,C: $i] :
( ( ( intersection @ B @ C )
= empty_set )
<=> ( ( difference @ B @ C )
= B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( ( intersection @ B @ C )
= empty_set )
<=> ( ( difference @ B @ C )
= B ) ),
inference('cnf.neg',[status(esa)],[prove_th84]) ).
thf(zip_derived_cl23,plain,
( ( ( difference @ sk__4 @ sk__5 )
= sk__4 )
| ( ( intersection @ sk__4 @ sk__5 )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl28,plain,
( ( ( difference @ sk__4 @ sk__5 )
= sk__4 )
| ( ( intersection @ sk__5 @ sk__4 )
= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl12]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__4 )
| ( ( intersection @ sk__5 @ sk__4 )
= empty_set )
| ~ ( member @ X0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl6]) ).
thf(zip_derived_cl348,plain,
! [X0: $i] :
( ( empty @ ( intersection @ sk__4 @ X0 ) )
| ~ ( member @ ( sk__3 @ ( intersection @ sk__4 @ X0 ) ) @ sk__5 )
| ( ( intersection @ sk__5 @ sk__4 )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl29]) ).
thf(zip_derived_cl419,plain,
! [X0: $i] :
( ~ ( member @ ( sk__3 @ ( intersection @ X0 @ sk__4 ) ) @ sk__5 )
| ( ( intersection @ sk__5 @ sk__4 )
= empty_set )
| ( empty @ ( intersection @ sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl348]) ).
thf(zip_derived_cl423,plain,
( ( empty @ ( intersection @ sk__5 @ sk__4 ) )
| ( empty @ ( intersection @ sk__4 @ sk__5 ) )
| ( ( intersection @ sk__5 @ sk__4 )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl419]) ).
thf(zip_derived_cl12_004,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl431,plain,
( ( empty @ ( intersection @ sk__5 @ sk__4 ) )
| ( empty @ ( intersection @ sk__5 @ sk__4 ) )
| ( ( intersection @ sk__5 @ sk__4 )
= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl12]) ).
thf(zip_derived_cl432,plain,
( ( ( intersection @ sk__5 @ sk__4 )
= empty_set )
| ( empty @ ( intersection @ sk__5 @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl431]) ).
thf(zip_derived_cl19_005,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( empty @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl21]) ).
thf(zip_derived_cl19_006,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl8]) ).
thf(zip_derived_cl11_007,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ empty_set )
| ( X0 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl11]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( X0 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl129]) ).
thf(zip_derived_cl434,plain,
( ( intersection @ sk__5 @ sk__4 )
= empty_set ),
inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl177]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl21_008,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X2 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( empty @ ( intersection @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl21]) ).
thf(zip_derived_cl444,plain,
! [X0: $i] :
( ~ ( empty @ empty_set )
| ~ ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl65]) ).
thf(zip_derived_cl22_009,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( member @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl8_010,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl58,plain,
empty @ empty_set,
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl8]) ).
thf(zip_derived_cl446,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl58]) ).
thf(zip_derived_cl456,plain,
! [X0: $i] :
( ( subset @ sk__4 @ X0 )
| ~ ( member @ ( sk__2 @ X0 @ sk__4 ) @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl446]) ).
thf(zip_derived_cl18_011,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl19_012,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl7,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_cl80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__2 @ X1 @ X0 ) @ X2 )
| ( member @ ( sk__2 @ X1 @ X0 ) @ ( difference @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl7]) ).
thf(zip_derived_cl3301,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ ( difference @ X1 @ X0 ) )
| ( member @ ( sk__2 @ ( difference @ X1 @ X0 ) @ X1 ) @ X0 )
| ( subset @ X1 @ ( difference @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl80]) ).
thf(zip_derived_cl3317,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__2 @ ( difference @ X1 @ X0 ) @ X1 ) @ X0 )
| ( subset @ X1 @ ( difference @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3301]) ).
thf(zip_derived_cl201622,plain,
( ( subset @ sk__4 @ ( difference @ sk__4 @ sk__5 ) )
| ( subset @ sk__4 @ ( difference @ sk__4 @ sk__5 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl456,zip_derived_cl3317]) ).
thf(zip_derived_cl201728,plain,
subset @ sk__4 @ ( difference @ sk__4 @ sk__5 ),
inference(simplify,[status(thm)],[zip_derived_cl201622]) ).
thf(zip_derived_cl201813,plain,
( sk__4
= ( difference @ sk__4 @ sk__5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3991,zip_derived_cl201728]) ).
thf(zip_derived_cl24,plain,
( ( ( difference @ sk__4 @ sk__5 )
!= sk__4 )
| ( ( intersection @ sk__4 @ sk__5 )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_013,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl25,plain,
( ( ( difference @ sk__4 @ sk__5 )
!= sk__4 )
| ( ( intersection @ sk__5 @ sk__4 )
!= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl12]) ).
thf(zip_derived_cl434_014,plain,
( ( intersection @ sk__5 @ sk__4 )
= empty_set ),
inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl177]) ).
thf(zip_derived_cl435,plain,
( ( ( difference @ sk__4 @ sk__5 )
!= sk__4 )
| ( empty_set != empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl434]) ).
thf(zip_derived_cl436,plain,
( ( difference @ sk__4 @ sk__5 )
!= sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl435]) ).
thf(zip_derived_cl201870,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl201813,zip_derived_cl436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET611+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DY2UBiPzDR true
% 0.14/0.35 % Computer : n028.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 : Sat Aug 26 12:54:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 210.29/30.64 % Solved by fo/fo4.sh.
% 210.29/30.64 % done 22062 iterations in 29.844s
% 210.29/30.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 210.29/30.64 % SZS output start Refutation
% See solution above
% 210.29/30.64
% 210.29/30.64
% 210.29/30.64 % Terminating...
% 210.48/30.75 % Runner terminated.
% 210.48/30.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------