TSTP Solution File: SET011-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ggKsYg4X8a 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 16:11:38 EDT 2023
% Result : Unsatisfiable 0.21s 0.78s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ggKsYg4X8a 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 10:12:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % Solved by fo/fo3_bce.sh.
% 0.21/0.78 % BCE start: 21
% 0.21/0.78 % BCE eliminated: 0
% 0.21/0.78 % PE start: 21
% 0.21/0.78 logic: neq
% 0.21/0.78 % PE eliminated: -8
% 0.21/0.78 % done 18 iterations in 0.018s
% 0.21/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.78 % SZS output start Refutation
% 0.21/0.78 thf(intersection_type, type, intersection: $i > $i > $i > $o).
% 0.21/0.78 thf(aD_aDb_type, type, aD_aDb: $i).
% 0.21/0.78 thf(difference_type, type, difference: $i > $i > $i > $o).
% 0.21/0.78 thf(b_type, type, b: $i).
% 0.21/0.78 thf(member_type, type, member: $i > $i > $o).
% 0.21/0.78 thf(aDb_type, type, aDb: $i).
% 0.21/0.78 thf(a_type, type, a: $i).
% 0.21/0.78 thf(h_type, type, h: $i > $i > $i > $i).
% 0.21/0.78 thf(intersection_axiom2, axiom,
% 0.21/0.78 (( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) |
% 0.21/0.78 ( intersection @ Set1 @ Set2 @ Intersection ) |
% 0.21/0.78 ( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set2 ))).
% 0.21/0.78 thf(zip_derived_cl10, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.78 ( (member @ (h @ X0 @ X1 @ X2) @ X2)
% 0.21/0.78 | (intersection @ X0 @ X1 @ X2)
% 0.21/0.78 | (member @ (h @ X0 @ X1 @ X2) @ X1))),
% 0.21/0.78 inference('cnf', [status(esa)], [intersection_axiom2])).
% 0.21/0.78 thf(prove_a_intersection_b_is_aD_aDb, conjecture,
% 0.21/0.78 (intersection @ a @ b @ aD_aDb)).
% 0.21/0.78 thf(zf_stmt_0, negated_conjecture, (~( intersection @ a @ b @ aD_aDb )),
% 0.21/0.78 inference('cnf.neg', [status(esa)], [prove_a_intersection_b_is_aD_aDb])).
% 0.21/0.78 thf(zip_derived_cl20, plain, (~ (intersection @ a @ b @ aD_aDb)),
% 0.21/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.78 thf(zip_derived_cl32, plain,
% 0.21/0.78 (( (member @ (h @ a @ b @ aD_aDb) @ b)
% 0.21/0.78 | (member @ (h @ a @ b @ aD_aDb) @ aD_aDb))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl10, zip_derived_cl20])).
% 0.21/0.78 thf(a_minus_aDb, axiom, (difference @ a @ aDb @ aD_aDb)).
% 0.21/0.78 thf(zip_derived_cl19, plain, ( (difference @ a @ aDb @ aD_aDb)),
% 0.21/0.78 inference('cnf', [status(esa)], [a_minus_aDb])).
% 0.21/0.78 thf(not_member_of_difference, axiom,
% 0.21/0.78 (( ~( member @ Element @ Set1 ) ) | ( ~( member @ Element @ Set2 ) ) |
% 0.21/0.78 ( ~( difference @ A_set @ Set1 @ Set2 ) ))).
% 0.21/0.78 thf(zip_derived_cl13, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @ X0 @ X1)
% 0.21/0.78 | ~ (member @ X0 @ X2)
% 0.21/0.78 | ~ (difference @ X3 @ X1 @ X2))),
% 0.21/0.78 inference('cnf', [status(esa)], [not_member_of_difference])).
% 0.21/0.78 thf(zip_derived_cl50, plain,
% 0.21/0.78 (![X0 : $i]: (~ (member @ X0 @ aD_aDb) | ~ (member @ X0 @ aDb))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl19, zip_derived_cl13])).
% 0.21/0.78 thf(zip_derived_cl91, plain,
% 0.21/0.78 (( (member @ (h @ a @ b @ aD_aDb) @ b)
% 0.21/0.78 | ~ (member @ (h @ a @ b @ aD_aDb) @ aDb))),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl50])).
% 0.21/0.78 thf(a_minus_b, axiom, (difference @ a @ b @ aDb)).
% 0.21/0.78 thf(zip_derived_cl18, plain, ( (difference @ a @ b @ aDb)),
% 0.21/0.78 inference('cnf', [status(esa)], [a_minus_b])).
% 0.21/0.78 thf(zip_derived_cl13, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @ X0 @ X1)
% 0.21/0.78 | ~ (member @ X0 @ X2)
% 0.21/0.78 | ~ (difference @ X3 @ X1 @ X2))),
% 0.21/0.78 inference('cnf', [status(esa)], [not_member_of_difference])).
% 0.21/0.78 thf(zip_derived_cl47, plain,
% 0.21/0.78 (![X0 : $i]: (~ (member @ X0 @ aDb) | ~ (member @ X0 @ b))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl18, zip_derived_cl13])).
% 0.21/0.78 thf(zip_derived_cl98, plain, (~ (member @ (h @ a @ b @ aD_aDb) @ aDb)),
% 0.21/0.78 inference('clc', [status(thm)], [zip_derived_cl91, zip_derived_cl47])).
% 0.21/0.78 thf(zip_derived_cl19, plain, ( (difference @ a @ aDb @ aD_aDb)),
% 0.21/0.78 inference('cnf', [status(esa)], [a_minus_aDb])).
% 0.21/0.78 thf(member_of_difference_or_set2, axiom,
% 0.21/0.78 (( ~( member @ Element @ Set1 ) ) |
% 0.21/0.78 ( ~( difference @ Set1 @ Set2 @ Difference ) ) |
% 0.21/0.78 ( member @ Element @ Difference ) | ( member @ Element @ Set2 ))).
% 0.21/0.78 thf(zip_derived_cl14, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @ X0 @ X1)
% 0.21/0.78 | ~ (difference @ X1 @ X2 @ X3)
% 0.21/0.78 | (member @ X0 @ X3)
% 0.21/0.78 | (member @ X0 @ X2))),
% 0.21/0.78 inference('cnf', [status(esa)], [member_of_difference_or_set2])).
% 0.21/0.78 thf(zip_derived_cl51, plain,
% 0.21/0.78 (![X0 : $i]:
% 0.21/0.78 ( (member @ X0 @ aDb) | (member @ X0 @ aD_aDb) | ~ (member @ X0 @ a))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl19, zip_derived_cl14])).
% 0.21/0.78 thf(intersection_axiom3, axiom,
% 0.21/0.78 (( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) ) |
% 0.21/0.78 ( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set2 ) ) |
% 0.21/0.78 ( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set1 ) ) |
% 0.21/0.78 ( intersection @ Set1 @ Set2 @ Intersection ))).
% 0.21/0.78 thf(zip_derived_cl11, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.78 (~ (member @ (h @ X0 @ X1 @ X2) @ X2)
% 0.21/0.78 | ~ (member @ (h @ X0 @ X1 @ X2) @ X1)
% 0.21/0.78 | ~ (member @ (h @ X0 @ X1 @ X2) @ X0)
% 0.21/0.78 | (intersection @ X0 @ X1 @ X2))),
% 0.21/0.78 inference('cnf', [status(esa)], [intersection_axiom3])).
% 0.21/0.78 thf(zip_derived_cl20, plain, (~ (intersection @ a @ b @ aD_aDb)),
% 0.21/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.78 thf(zip_derived_cl36, plain,
% 0.21/0.78 ((~ (member @ (h @ a @ b @ aD_aDb) @ a)
% 0.21/0.78 | ~ (member @ (h @ a @ b @ aD_aDb) @ b)
% 0.21/0.78 | ~ (member @ (h @ a @ b @ aD_aDb) @ aD_aDb))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl11, zip_derived_cl20])).
% 0.21/0.78 thf(zip_derived_cl19, plain, ( (difference @ a @ aDb @ aD_aDb)),
% 0.21/0.78 inference('cnf', [status(esa)], [a_minus_aDb])).
% 0.21/0.78 thf(member_of_difference, axiom,
% 0.21/0.78 (( ~( difference @ Set1 @ Set2 @ Difference ) ) |
% 0.21/0.78 ( ~( member @ Element @ Difference ) ) | ( member @ Element @ Set1 ))).
% 0.21/0.78 thf(zip_derived_cl12, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (difference @ X0 @ X1 @ X2)
% 0.21/0.78 | ~ (member @ X3 @ X2)
% 0.21/0.78 | (member @ X3 @ X0))),
% 0.21/0.78 inference('cnf', [status(esa)], [member_of_difference])).
% 0.21/0.78 thf(zip_derived_cl49, plain,
% 0.21/0.78 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aD_aDb))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl19, zip_derived_cl12])).
% 0.21/0.78 thf(zip_derived_cl52, plain,
% 0.21/0.78 ((~ (member @ (h @ a @ b @ aD_aDb) @ aD_aDb)
% 0.21/0.78 | ~ (member @ (h @ a @ b @ aD_aDb) @ b))),
% 0.21/0.78 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl49])).
% 0.21/0.78 thf(zip_derived_cl18, plain, ( (difference @ a @ b @ aDb)),
% 0.21/0.78 inference('cnf', [status(esa)], [a_minus_b])).
% 0.21/0.78 thf(zip_derived_cl14, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @ X0 @ X1)
% 0.21/0.78 | ~ (difference @ X1 @ X2 @ X3)
% 0.21/0.78 | (member @ X0 @ X3)
% 0.21/0.78 | (member @ X0 @ X2))),
% 0.21/0.78 inference('cnf', [status(esa)], [member_of_difference_or_set2])).
% 0.21/0.78 thf(zip_derived_cl48, plain,
% 0.21/0.78 (![X0 : $i]:
% 0.21/0.78 ( (member @ X0 @ b) | (member @ X0 @ aDb) | ~ (member @ X0 @ a))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl18, zip_derived_cl14])).
% 0.21/0.78 thf(zip_derived_cl98, plain, (~ (member @ (h @ a @ b @ aD_aDb) @ aDb)),
% 0.21/0.78 inference('clc', [status(thm)], [zip_derived_cl91, zip_derived_cl47])).
% 0.21/0.78 thf(zip_derived_cl100, plain,
% 0.21/0.78 ((~ (member @ (h @ a @ b @ aD_aDb) @ a)
% 0.21/0.78 | (member @ (h @ a @ b @ aD_aDb) @ b))),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl98])).
% 0.21/0.78 thf(intersection_axiom1, axiom,
% 0.21/0.78 (( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) |
% 0.21/0.78 ( intersection @ Set1 @ Set2 @ Intersection ) |
% 0.21/0.78 ( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set1 ))).
% 0.21/0.78 thf(zip_derived_cl9, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.78 ( (member @ (h @ X0 @ X1 @ X2) @ X2)
% 0.21/0.78 | (intersection @ X0 @ X1 @ X2)
% 0.21/0.78 | (member @ (h @ X0 @ X1 @ X2) @ X0))),
% 0.21/0.78 inference('cnf', [status(esa)], [intersection_axiom1])).
% 0.21/0.78 thf(zip_derived_cl20, plain, (~ (intersection @ a @ b @ aD_aDb)),
% 0.21/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.78 thf(zip_derived_cl28, plain,
% 0.21/0.78 (( (member @ (h @ a @ b @ aD_aDb) @ a)
% 0.21/0.78 | (member @ (h @ a @ b @ aD_aDb) @ aD_aDb))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl9, zip_derived_cl20])).
% 0.21/0.78 thf(zip_derived_cl49, plain,
% 0.21/0.78 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aD_aDb))),
% 0.21/0.78 inference('dp-resolution', [status(thm)],
% 0.21/0.78 [zip_derived_cl19, zip_derived_cl12])).
% 0.21/0.78 thf(zip_derived_cl86, plain, ( (member @ (h @ a @ b @ aD_aDb) @ a)),
% 0.21/0.78 inference('clc', [status(thm)], [zip_derived_cl28, zip_derived_cl49])).
% 0.21/0.78 thf(zip_derived_cl101, plain, ( (member @ (h @ a @ b @ aD_aDb) @ b)),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl86])).
% 0.21/0.78 thf(zip_derived_cl103, plain, (~ (member @ (h @ a @ b @ aD_aDb) @ aD_aDb)),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl101])).
% 0.21/0.78 thf(zip_derived_cl106, plain,
% 0.21/0.78 ((~ (member @ (h @ a @ b @ aD_aDb) @ a)
% 0.21/0.78 | (member @ (h @ a @ b @ aD_aDb) @ aDb))),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl103])).
% 0.21/0.78 thf(zip_derived_cl86, plain, ( (member @ (h @ a @ b @ aD_aDb) @ a)),
% 0.21/0.78 inference('clc', [status(thm)], [zip_derived_cl28, zip_derived_cl49])).
% 0.21/0.78 thf(zip_derived_cl107, plain, ( (member @ (h @ a @ b @ aD_aDb) @ aDb)),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl86])).
% 0.21/0.78 thf(zip_derived_cl119, plain, ($false),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl107])).
% 0.21/0.78
% 0.21/0.78 % SZS output end Refutation
% 0.21/0.78
% 0.21/0.78
% 0.21/0.78 % Terminating...
% 1.41/0.85 % Runner terminated.
% 1.41/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------