TSTP Solution File: SET619+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET619+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.MyP0vtoq02 true
% Computer : n006.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 16:15:04 EDT 2023
% Result : Theorem 276.73s 40.14s
% Output : Refutation 276.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 35 ( 29 unt; 6 typ; 0 def)
% Number of atoms : 29 ( 28 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 184 ( 4 ~; 0 |; 0 &; 180 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 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 : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(union_type,type,
union: $i > $i > $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(symmetric_difference_type,type,
symmetric_difference: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(prove_th95,conjecture,
! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ ( symmetric_difference @ B @ C ) @ ( intersection @ B @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ ( symmetric_difference @ B @ C ) @ ( intersection @ B @ C ) ) ),
inference('cnf.neg',[status(esa)],[prove_th95]) ).
thf(zip_derived_cl24,plain,
( ( union @ sk__2 @ sk__3 )
!= ( union @ ( symmetric_difference @ sk__2 @ sk__3 ) @ ( intersection @ sk__2 @ 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_cl13,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl25,plain,
( ( union @ sk__2 @ sk__3 )
!= ( union @ ( intersection @ sk__2 @ sk__3 ) @ ( symmetric_difference @ sk__2 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl13]) ).
thf(symmetric_difference_defn,axiom,
! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
thf(union_intersection_difference,axiom,
! [B: $i,C: $i] :
( ( union @ ( intersection @ B @ C ) @ ( difference @ B @ C ) )
= B ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( union @ ( intersection @ X0 @ X1 ) @ ( difference @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[union_intersection_difference]) ).
thf(zip_derived_cl13_001,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(associativity_of_union,axiom,
! [B: $i,C: $i,D: $i] :
( ( union @ ( union @ B @ C ) @ D )
= ( union @ B @ ( union @ C @ D ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union @ ( union @ X0 @ X1 ) @ X2 )
= ( union @ X0 @ ( union @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[associativity_of_union]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union @ X2 @ ( union @ X1 @ X0 ) )
= ( union @ X1 @ ( union @ X0 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union @ X1 @ X0 )
= ( union @ ( intersection @ X0 @ X2 ) @ ( union @ ( difference @ X0 @ X2 ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl35]) ).
thf(zip_derived_cl3385,plain,
! [X0: $i,X1: $i] :
( ( union @ ( difference @ X0 @ X1 ) @ X1 )
= ( union @ ( intersection @ X1 @ X0 ) @ ( symmetric_difference @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl78]) ).
thf(zip_derived_cl13_002,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i,X1: $i] :
( ( union @ ( intersection @ X0 @ X1 ) @ ( difference @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[union_intersection_difference]) ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(union_intersection,axiom,
! [B: $i,C: $i] :
( ( union @ B @ ( intersection @ B @ C ) )
= B ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( union @ X0 @ ( intersection @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[union_intersection]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( union @ X0 @ ( intersection @ X1 @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union @ ( union @ X0 @ X1 ) @ X2 )
= ( union @ X0 @ ( union @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[associativity_of_union]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union @ X0 @ X1 )
= ( union @ X0 @ ( union @ ( intersection @ X2 @ X0 ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1]) ).
thf(zip_derived_cl685,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ ( difference @ X0 @ X1 ) )
= ( union @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl42]) ).
thf(zip_derived_cl3414,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ ( intersection @ X1 @ X0 ) @ ( symmetric_difference @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3385,zip_derived_cl13,zip_derived_cl685]) ).
thf(zip_derived_cl39371,plain,
( ( union @ sk__2 @ sk__3 )
!= ( union @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl3414]) ).
thf(zip_derived_cl39372,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl39371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET619+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MyP0vtoq02 true
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 13:49:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 276.73/40.14 % Solved by fo/fo13.sh.
% 276.73/40.14 % done 1835 iterations in 39.345s
% 276.73/40.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 276.73/40.14 % SZS output start Refutation
% See solution above
% 276.73/40.14
% 276.73/40.14
% 276.73/40.14 % Terminating...
% 277.03/40.24 % Runner terminated.
% 277.03/40.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------