TSTP Solution File: SET630+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET630+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.h0CTq5zex0 true
% Computer : n031.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 16:15:10 EDT 2023
% Result : Theorem 1.28s 0.77s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 15 unt; 8 typ; 0 def)
% Number of atoms : 32 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 156 ( 10 ~; 8 |; 0 &; 136 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(symmetric_difference_type,type,
symmetric_difference: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(intersect_type,type,
intersect: $i > $i > $o ).
thf(disjoint_defn,axiom,
! [B: $i,C: $i] :
( ( disjoint @ B @ C )
<=> ~ ( intersect @ B @ C ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( intersect @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[disjoint_defn]) ).
thf(prove_intersection_and_symmetric_difference_disjoint,conjecture,
! [B: $i,C: $i] : ( disjoint @ ( intersection @ B @ C ) @ ( symmetric_difference @ B @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] : ( disjoint @ ( intersection @ B @ C ) @ ( symmetric_difference @ B @ C ) ),
inference('cnf.neg',[status(esa)],[prove_intersection_and_symmetric_difference_disjoint]) ).
thf(zip_derived_cl21,plain,
~ ( disjoint @ ( intersection @ sk__2 @ sk__3 ) @ ( symmetric_difference @ sk__2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102,plain,
intersect @ ( intersection @ sk__2 @ sk__3 ) @ ( symmetric_difference @ sk__2 @ sk__3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl21]) ).
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(intersect_with_union,axiom,
! [B: $i,C: $i,D: $i] :
( ( intersect @ B @ ( union @ C @ D ) )
<=> ( ( intersect @ B @ C )
| ( intersect @ B @ D ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ( intersect @ X0 @ X2 )
| ~ ( intersect @ X0 @ ( union @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersect_with_union]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X2 @ ( difference @ X0 @ X1 ) )
| ( intersect @ X2 @ ( difference @ X1 @ X0 ) )
| ~ ( intersect @ X2 @ ( symmetric_difference @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl209,plain,
( ( intersect @ ( intersection @ sk__2 @ sk__3 ) @ ( difference @ sk__3 @ sk__2 ) )
| ( intersect @ ( intersection @ sk__2 @ sk__3 ) @ ( difference @ sk__2 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl110]) ).
thf(intersection_and_union_disjoint,axiom,
! [B: $i,C: $i] : ( disjoint @ ( intersection @ B @ C ) @ ( difference @ B @ C ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] : ( disjoint @ ( intersection @ X0 @ X1 ) @ ( difference @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[intersection_and_union_disjoint]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( intersect @ X0 @ X1 )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[disjoint_defn]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i] :
~ ( intersect @ ( intersection @ X1 @ X0 ) @ ( difference @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl11]) ).
thf(zip_derived_cl212,plain,
intersect @ ( intersection @ sk__2 @ sk__3 ) @ ( difference @ sk__3 @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl97]) ).
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(zip_derived_cl97_001,plain,
! [X0: $i,X1: $i] :
~ ( intersect @ ( intersection @ X1 @ X0 ) @ ( difference @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl11]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
~ ( intersect @ ( intersection @ X1 @ X0 ) @ ( difference @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl97]) ).
thf(zip_derived_cl220,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h0CTq5zex0 true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 13:56:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.77 % Solved by fo/fo6_bce.sh.
% 1.28/0.77 % BCE start: 22
% 1.28/0.77 % BCE eliminated: 0
% 1.28/0.77 % PE start: 22
% 1.28/0.77 logic: eq
% 1.28/0.77 % PE eliminated: 1
% 1.28/0.77 % done 63 iterations in 0.043s
% 1.28/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.77 % SZS output start Refutation
% See solution above
% 1.28/0.77
% 1.28/0.77
% 1.28/0.77 % Terminating...
% 1.56/0.85 % Runner terminated.
% 1.56/0.86 % Zipperpin 1.5 exiting
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