TSTP Solution File: SET624+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET624+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.9RT6WSagJI true
% Computer : n032.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 16:15:07 EDT 2023
% Result : Theorem 3.87s 1.01s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 121 ( 5 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 461 ( 44 ~; 63 |; 1 &; 348 @)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 78 ( 0 ^; 77 !; 1 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(intersect_type,type,
intersect: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(intersect_defn,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ? [D: $i] :
( ( member @ D @ C )
& ( member @ D @ B ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_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_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X3 )
| ( intersect @ ( union @ X1 @ X0 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( intersect @ X1 @ X0 )
| ( intersect @ ( union @ X3 @ X0 ) @ X2 )
| ~ ( member @ ( sk_ @ X0 @ X1 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl38]) ).
thf(zip_derived_cl643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X0 @ X1 )
| ( intersect @ ( union @ X2 @ X1 ) @ X0 )
| ~ ( intersect @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl61]) ).
thf(zip_derived_cl645,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ ( union @ X2 @ X1 ) @ X0 )
| ~ ( intersect @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl643]) ).
thf(symmetry_of_intersect,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
=> ( intersect @ C @ B ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_of_intersect]) ).
thf(zip_derived_cl702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X0 @ X1 )
| ( intersect @ X0 @ ( union @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl7]) ).
thf(prove_intersect_with_union,conjecture,
! [B: $i,C: $i,D: $i] :
( ( intersect @ B @ ( union @ C @ D ) )
<=> ( ( intersect @ B @ C )
| ( intersect @ B @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( intersect @ B @ ( union @ C @ D ) )
<=> ( ( intersect @ B @ C )
| ( intersect @ B @ D ) ) ),
inference('cnf.neg',[status(esa)],[prove_intersect_with_union]) ).
thf(zip_derived_cl12,plain,
( ( intersect @ sk__2 @ sk__4 )
| ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_of_union,axiom,
! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl27,plain,
( ( intersect @ sk__2 @ sk__4 )
| ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
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_cl68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X2 @ ( union @ X1 @ X0 ) )
| ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl1394,plain,
( ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ sk__4 )
| ( member @ ( sk_ @ ( union @ sk__4 @ sk__3 ) @ sk__2 ) @ sk__3 )
| ( member @ ( sk_ @ ( union @ sk__4 @ sk__3 ) @ sk__2 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl68]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X2 )
| ( intersect @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl1430,plain,
( ( member @ ( sk_ @ ( union @ sk__4 @ sk__3 ) @ sk__2 ) @ sk__4 )
| ( intersect @ sk__2 @ sk__4 )
| ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ sk__3 )
| ~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl69]) ).
thf(zip_derived_cl1432,plain,
( ~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) )
| ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ sk__4 )
| ( member @ ( sk_ @ ( union @ sk__4 @ sk__3 ) @ sk__2 ) @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1430]) ).
thf(zip_derived_cl27_004,plain,
( ( intersect @ sk__2 @ sk__4 )
| ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).
thf(zip_derived_cl1433,plain,
( ( member @ ( sk_ @ ( union @ sk__4 @ sk__3 ) @ sk__2 ) @ sk__4 )
| ( intersect @ sk__2 @ sk__4 )
| ( intersect @ sk__2 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl1432,zip_derived_cl27]) ).
thf(zip_derived_cl69_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X2 )
| ( intersect @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl1461,plain,
( ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ sk__4 )
| ( intersect @ sk__2 @ sk__4 )
| ~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1433,zip_derived_cl69]) ).
thf(zip_derived_cl1463,plain,
( ~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) )
| ( intersect @ sk__2 @ sk__4 )
| ( intersect @ sk__2 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1461]) ).
thf(zip_derived_cl27_006,plain,
( ( intersect @ sk__2 @ sk__4 )
| ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).
thf(zip_derived_cl1524,plain,
( ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl1463,zip_derived_cl27]) ).
thf(zip_derived_cl13,plain,
( ~ ( intersect @ sk__2 @ sk__3 )
| ~ ( intersect @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_007,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl23,plain,
( ~ ( intersect @ sk__2 @ sk__3 )
| ~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl6]) ).
thf(zip_derived_cl1551,plain,
( ( intersect @ sk__2 @ sk__4 )
| ~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl23]) ).
thf(zip_derived_cl14,plain,
( ~ ( intersect @ sk__2 @ sk__4 )
| ~ ( intersect @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_008,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl24,plain,
( ~ ( intersect @ sk__2 @ sk__4 )
| ~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl6]) ).
thf(zip_derived_cl1553,plain,
~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl24]) ).
thf(zip_derived_cl1555,plain,
~ ( intersect @ sk__2 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl1553]) ).
thf(zip_derived_cl1524_009,plain,
( ( intersect @ sk__2 @ sk__3 )
| ( intersect @ sk__2 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl1463,zip_derived_cl27]) ).
thf(zip_derived_cl6_010,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl702_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X0 @ X1 )
| ( intersect @ X0 @ ( union @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl7]) ).
thf(zip_derived_cl748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X2 @ ( union @ X1 @ X0 ) )
| ~ ( intersect @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl702]) ).
thf(zip_derived_cl1553_012,plain,
~ ( intersect @ sk__2 @ ( union @ sk__4 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl24]) ).
thf(zip_derived_cl1554,plain,
~ ( intersect @ sk__2 @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl748,zip_derived_cl1553]) ).
thf(zip_derived_cl1557,plain,
intersect @ sk__2 @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl1524,zip_derived_cl1554]) ).
thf(zip_derived_cl1560,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1555,zip_derived_cl1557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET624+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9RT6WSagJI true
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat Aug 26 13:59:13 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.16/0.48 % Total configuration time : 435
% 0.16/0.48 % Estimated wc time : 1092
% 0.16/0.48 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.56 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.56 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.56 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.63 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.87/1.01 % Solved by fo/fo4.sh.
% 3.87/1.01 % done 506 iterations in 0.344s
% 3.87/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.87/1.01 % SZS output start Refutation
% See solution above
% 3.87/1.01
% 3.87/1.01
% 3.87/1.01 % Terminating...
% 3.87/1.11 % Runner terminated.
% 3.87/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------