TSTP Solution File: SET597+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET597+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.ZHDNl4LeWx true
% Computer : n004.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 16:14:49 EDT 2023
% Result : Theorem 1.39s 0.79s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 25 unt; 6 typ; 0 def)
% Number of atoms : 107 ( 27 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 324 ( 38 ~; 40 |; 8 &; 232 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(prove_th56,conjecture,
! [B: $i,C: $i,D: $i] :
( ( B
= ( union @ C @ D ) )
<=> ( ( subset @ C @ B )
& ( subset @ D @ B )
& ! [E: $i] :
( ( ( subset @ C @ E )
& ( subset @ D @ E ) )
=> ( subset @ B @ E ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( B
= ( union @ C @ D ) )
<=> ( ( subset @ C @ B )
& ( subset @ D @ B )
& ! [E: $i] :
( ( ( subset @ C @ E )
& ( subset @ D @ E ) )
=> ( subset @ B @ E ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_th56]) ).
thf(zip_derived_cl22,plain,
( ( subset @ sk__3 @ sk__5 )
| ~ ( subset @ sk__4 @ sk__2 )
| ~ ( subset @ sk__3 @ sk__2 )
| ( sk__2
!= ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
( ( subset @ sk__4 @ sk__2 )
| ( 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_cl11,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(subset_of_union,axiom,
! [B: $i,C: $i] : ( subset @ B @ ( union @ B @ C ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[subset_of_union]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl130,plain,
( ( subset @ sk__4 @ sk__2 )
| ( subset @ sk__4 @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl116]) ).
thf(zip_derived_cl132,plain,
subset @ sk__4 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl17,plain,
( ( subset @ sk__3 @ sk__2 )
| ( sk__2
= ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[subset_of_union]) ).
thf(zip_derived_cl114,plain,
( ( subset @ sk__3 @ sk__2 )
| ( subset @ sk__3 @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).
thf(zip_derived_cl115,plain,
subset @ sk__3 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl202,plain,
( ( subset @ sk__3 @ sk__5 )
| ( sk__2
!= ( union @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl116_002,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[subset_of_union]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( subset @ sk__3 @ X0 )
| ~ ( subset @ sk__4 @ X0 )
| ( subset @ sk__2 @ X0 )
| ( sk__2
= ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206,plain,
! [X0: $i] :
( ~ ( subset @ sk__4 @ ( union @ sk__3 @ X0 ) )
| ( subset @ sk__2 @ ( union @ sk__3 @ X0 ) )
| ( sk__2
= ( union @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).
thf(zip_derived_cl216,plain,
( ( subset @ sk__2 @ ( union @ sk__3 @ sk__4 ) )
| ( sk__2
= ( union @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl206]) ).
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] :
( ( subset @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl232,plain,
subset @ sk__2 @ ( union @ sk__3 @ sk__4 ),
inference(clc,[status(thm)],[zip_derived_cl216,zip_derived_cl8]) ).
thf(union_subset,axiom,
! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ D @ C ) )
=> ( subset @ ( union @ B @ D ) @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X2 @ X1 )
| ( subset @ ( union @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[union_subset]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X2 @ X0 )
| ( X0
= ( union @ X2 @ X1 ) )
| ~ ( subset @ X0 @ ( union @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).
thf(zip_derived_cl235,plain,
( ~ ( subset @ sk__4 @ sk__2 )
| ~ ( subset @ sk__3 @ sk__2 )
| ( sk__2
= ( union @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl122]) ).
thf(zip_derived_cl132_004,plain,
subset @ sk__4 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl115_005,plain,
subset @ sk__3 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl238,plain,
( sk__2
= ( union @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl249,plain,
( ( subset @ sk__3 @ sk__5 )
| ( sk__2 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl238]) ).
thf(zip_derived_cl250,plain,
subset @ sk__3 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl249]) ).
thf(zip_derived_cl238_006,plain,
( sk__2
= ( union @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl1_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X2 @ X1 )
| ( subset @ ( union @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[union_subset]) ).
thf(zip_derived_cl254,plain,
! [X0: $i] :
( ~ ( subset @ sk__3 @ X0 )
| ~ ( subset @ sk__4 @ X0 )
| ( subset @ sk__2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl238,zip_derived_cl1]) ).
thf(zip_derived_cl293,plain,
( ~ ( subset @ sk__4 @ sk__5 )
| ( subset @ sk__2 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl254]) ).
thf(zip_derived_cl21,plain,
( ( subset @ sk__4 @ sk__5 )
| ~ ( subset @ sk__4 @ sk__2 )
| ~ ( subset @ sk__3 @ sk__2 )
| ( sk__2
!= ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_008,plain,
subset @ sk__4 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl115_009,plain,
subset @ sk__3 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl141,plain,
( ( subset @ sk__4 @ sk__5 )
| ( sk__2
!= ( union @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl238_010,plain,
( sk__2
= ( union @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl245,plain,
( ( subset @ sk__4 @ sk__5 )
| ( sk__2 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl238]) ).
thf(zip_derived_cl246,plain,
subset @ sk__4 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl245]) ).
thf(zip_derived_cl20,plain,
( ~ ( subset @ sk__2 @ sk__5 )
| ~ ( subset @ sk__4 @ sk__2 )
| ~ ( subset @ sk__3 @ sk__2 )
| ( sk__2
!= ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_011,plain,
subset @ sk__4 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl115_012,plain,
subset @ sk__3 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl186,plain,
( ~ ( subset @ sk__2 @ sk__5 )
| ( sk__2
!= ( union @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl238_013,plain,
( sk__2
= ( union @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl247,plain,
( ~ ( subset @ sk__2 @ sk__5 )
| ( sk__2 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl238]) ).
thf(zip_derived_cl248,plain,
~ ( subset @ sk__2 @ sk__5 ),
inference(simplify,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl295,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl246,zip_derived_cl248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET597+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.ZHDNl4LeWx true
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 12:49:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.77/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.77/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.39/0.79 % Solved by fo/fo6_bce.sh.
% 1.39/0.79 % BCE start: 23
% 1.39/0.79 % BCE eliminated: 0
% 1.39/0.79 % PE start: 23
% 1.39/0.79 logic: eq
% 1.39/0.79 % PE eliminated: 0
% 1.39/0.79 % done 81 iterations in 0.041s
% 1.39/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/0.79 % SZS output start Refutation
% See solution above
% 1.39/0.79
% 1.39/0.79
% 1.39/0.79 % Terminating...
% 1.56/0.86 % Runner terminated.
% 1.56/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------