TSTP Solution File: SET162+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET162+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.Yips3rD3ih true
% Computer : n015.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 16:13:07 EDT 2023
% Result : Theorem 1.52s 0.90s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 15 unt; 6 typ; 0 def)
% Number of atoms : 53 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 192 ( 14 ~; 17 |; 1 &; 156 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(prove_union_empty_set,conjecture,
! [B: $i] :
( ( union @ B @ empty_set )
= B ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( union @ B @ empty_set )
= B ),
inference('cnf.neg',[status(esa)],[prove_union_empty_set]) ).
thf(zip_derived_cl18,plain,
( ( union @ sk__3 @ empty_set )
!= sk__3 ),
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_cl7,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl98,plain,
( ( union @ empty_set @ sk__3 )
!= sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl7]) ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl10,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_cl126,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_cl10,zip_derived_cl0]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl350,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X1 @ ( union @ empty_set @ X0 ) ) @ X0 )
| ( subset @ ( union @ empty_set @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl3]) ).
thf(zip_derived_cl426,plain,
! [X0: $i] :
( ( subset @ ( union @ empty_set @ X0 ) @ X0 )
| ( subset @ ( union @ empty_set @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl350]) ).
thf(zip_derived_cl433,plain,
! [X0: $i] : ( subset @ ( union @ empty_set @ X0 ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl426]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl10_002,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_cl9_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( union @ X0 @ X1 ) )
| ( subset @ X0 @ ( union @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl108]) ).
thf(zip_derived_cl225,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl231,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl225]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl241,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ ( union @ X1 @ X0 ) @ X0 )
| ( ( union @ X1 @ X0 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl6]) ).
thf(zip_derived_cl551,plain,
! [X0: $i] :
( ( union @ empty_set @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl241]) ).
thf(zip_derived_cl722,plain,
sk__3 != sk__3,
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl551]) ).
thf(zip_derived_cl723,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET162+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.Yips3rD3ih true
% 0.15/0.35 % Computer : n015.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 15:19:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.52/0.90 % Solved by fo/fo3_bce.sh.
% 1.52/0.90 % BCE start: 19
% 1.52/0.90 % BCE eliminated: 0
% 1.52/0.90 % PE start: 19
% 1.52/0.90 logic: eq
% 1.52/0.90 % PE eliminated: 1
% 1.52/0.90 % done 149 iterations in 0.123s
% 1.52/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.52/0.90 % SZS output start Refutation
% See solution above
% 1.52/0.90
% 1.52/0.90
% 1.52/0.90 % Terminating...
% 2.25/0.96 % Runner terminated.
% 2.25/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------