TSTP Solution File: SET016-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET016-1 : 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.TEaa8leYca 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 16:11:45 EDT 2023
% Result : Unsatisfiable 0.21s 0.74s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TEaa8leYca true
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 13:01:52 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % 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
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % Solved by fo/fo3_bce.sh.
% 0.21/0.74 % BCE start: 8
% 0.21/0.74 % BCE eliminated: 0
% 0.21/0.74 % PE start: 8
% 0.21/0.74 logic: eq
% 0.21/0.74 % PE eliminated: -1
% 0.21/0.74 % done 19 iterations in 0.012s
% 0.21/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74 % SZS output start Refutation
% 0.21/0.74 thf(singleton_set_type, type, singleton_set: $i > $i).
% 0.21/0.74 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.21/0.74 thf(r2_type, type, r2: $i).
% 0.21/0.74 thf(member_type, type, member: $i > $i > $o).
% 0.21/0.74 thf(m1_type, type, m1: $i).
% 0.21/0.74 thf(m2_type, type, m2: $i).
% 0.21/0.74 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.21/0.74 thf(r1_type, type, r1: $i).
% 0.21/0.74 thf(equal_ordered_pairs, axiom,
% 0.21/0.74 (( ordered_pair @ m1 @ r1 ) = ( ordered_pair @ m2 @ r2 ))).
% 0.21/0.74 thf(zip_derived_cl6, plain,
% 0.21/0.74 (((ordered_pair @ m1 @ r1) = (ordered_pair @ m2 @ r2))),
% 0.21/0.74 inference('cnf', [status(esa)], [equal_ordered_pairs])).
% 0.21/0.74 thf(ordered_pair, axiom,
% 0.21/0.74 (( ordered_pair @ X @ Y ) =
% 0.21/0.74 ( unordered_pair @ ( singleton_set @ X ) @ ( unordered_pair @ X @ Y ) ))).
% 0.21/0.74 thf(zip_derived_cl5, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 ((ordered_pair @ X0 @ X1)
% 0.21/0.74 = (unordered_pair @ (singleton_set @ X0) @
% 0.21/0.74 (unordered_pair @ X0 @ X1)))),
% 0.21/0.74 inference('cnf', [status(esa)], [ordered_pair])).
% 0.21/0.74 thf(zip_derived_cl5, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 ((ordered_pair @ X0 @ X1)
% 0.21/0.74 = (unordered_pair @ (singleton_set @ X0) @
% 0.21/0.74 (unordered_pair @ X0 @ X1)))),
% 0.21/0.74 inference('cnf', [status(esa)], [ordered_pair])).
% 0.21/0.74 thf(zip_derived_cl39, plain,
% 0.21/0.74 (((unordered_pair @ (singleton_set @ m1) @ (unordered_pair @ m1 @ r1))
% 0.21/0.74 = (unordered_pair @ (singleton_set @ m2) @ (unordered_pair @ m2 @ r2)))),
% 0.21/0.74 inference('demod', [status(thm)],
% 0.21/0.74 [zip_derived_cl6, zip_derived_cl5, zip_derived_cl5])).
% 0.21/0.74 thf(unordered_pair_1, axiom, (member @ X @ ( unordered_pair @ X @ Y ))).
% 0.21/0.74 thf(zip_derived_cl2, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]: (member @ X0 @ (unordered_pair @ X0 @ X1))),
% 0.21/0.74 inference('cnf', [status(esa)], [unordered_pair_1])).
% 0.21/0.74 thf(unordered_pair_3, axiom,
% 0.21/0.74 (( ~( member @ X @ ( unordered_pair @ Y @ Z ) ) ) | ( ( X ) = ( Y ) ) |
% 0.21/0.74 ( ( X ) = ( Z ) ))).
% 0.21/0.74 thf(zip_derived_cl4, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.74 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.21/0.74 | ((X0) = (X1))
% 0.21/0.74 | ((X0) = (X2)))),
% 0.21/0.74 inference('cnf', [status(esa)], [unordered_pair_3])).
% 0.21/0.74 thf(zip_derived_cl29, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.21/0.74 (((X1) != (X4))
% 0.21/0.74 | ((unordered_pair @ X1 @ X0) != (unordered_pair @ X3 @ X2))
% 0.21/0.74 | ((X4) = (X2))
% 0.21/0.74 | ((X4) = (X3)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl2, zip_derived_cl4])).
% 0.21/0.74 thf(zip_derived_cl43, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.74 (((X0) = (X1))
% 0.21/0.74 | ((X0) = (X2))
% 0.21/0.74 | ((unordered_pair @ X0 @ X3) != (unordered_pair @ X1 @ X2)))),
% 0.21/0.74 inference('eq_res', [status(thm)], [zip_derived_cl29])).
% 0.21/0.74 thf(zip_derived_cl47, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (((unordered_pair @ (singleton_set @ m1) @ (unordered_pair @ m1 @ r1))
% 0.21/0.74 != (unordered_pair @ X1 @ X0))
% 0.21/0.74 | ((singleton_set @ m2) = (X0))
% 0.21/0.74 | ((singleton_set @ m2) = (X1)))),
% 0.21/0.74 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl43])).
% 0.21/0.74 thf(zip_derived_cl54, plain,
% 0.21/0.74 ((((singleton_set @ m2) = (singleton_set @ m1))
% 0.21/0.74 | ((singleton_set @ m2) = (unordered_pair @ m1 @ r1)))),
% 0.21/0.74 inference('eq_res', [status(thm)], [zip_derived_cl47])).
% 0.21/0.74 thf(zip_derived_cl2, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]: (member @ X0 @ (unordered_pair @ X0 @ X1))),
% 0.21/0.74 inference('cnf', [status(esa)], [unordered_pair_1])).
% 0.21/0.74 thf(singleton_2, axiom,
% 0.21/0.74 (( ~( member @ X @ ( singleton_set @ Y ) ) ) | ( ( X ) = ( Y ) ))).
% 0.21/0.74 thf(zip_derived_cl1, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (~ (member @ X0 @ (singleton_set @ X1)) | ((X0) = (X1)))),
% 0.21/0.74 inference('cnf', [status(esa)], [singleton_2])).
% 0.21/0.74 thf(zip_derived_cl26, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.74 (((X1) != (X3))
% 0.21/0.74 | ((unordered_pair @ X1 @ X0) != (singleton_set @ X2))
% 0.21/0.74 | ((X3) = (X2)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl2, zip_derived_cl1])).
% 0.21/0.74 thf(zip_derived_cl38, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.74 (((X0) = (X1)) | ((unordered_pair @ X0 @ X2) != (singleton_set @ X1)))),
% 0.21/0.74 inference('eq_res', [status(thm)], [zip_derived_cl26])).
% 0.21/0.74 thf(zip_derived_cl56, plain, (((singleton_set @ m2) = (singleton_set @ m1))),
% 0.21/0.74 inference('clc', [status(thm)], [zip_derived_cl54, zip_derived_cl38])).
% 0.21/0.74 thf(singleton_1, axiom, (member @ X @ ( singleton_set @ X ))).
% 0.21/0.74 thf(zip_derived_cl0, plain,
% 0.21/0.74 (![X0 : $i]: (member @ X0 @ (singleton_set @ X0))),
% 0.21/0.74 inference('cnf', [status(esa)], [singleton_1])).
% 0.21/0.74 thf(zip_derived_cl1, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (~ (member @ X0 @ (singleton_set @ X1)) | ((X0) = (X1)))),
% 0.21/0.74 inference('cnf', [status(esa)], [singleton_2])).
% 0.21/0.74 thf(zip_derived_cl20, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.74 (((X0) != (X2))
% 0.21/0.74 | ((singleton_set @ X0) != (singleton_set @ X1))
% 0.21/0.74 | ((X2) = (X1)))),
% 0.21/0.74 inference('dp-resolution', [status(thm)],
% 0.21/0.74 [zip_derived_cl0, zip_derived_cl1])).
% 0.21/0.74 thf(zip_derived_cl36, plain,
% 0.21/0.74 (![X0 : $i, X1 : $i]:
% 0.21/0.74 (((X0) = (X1)) | ((singleton_set @ X0) != (singleton_set @ X1)))),
% 0.21/0.74 inference('eq_res', [status(thm)], [zip_derived_cl20])).
% 0.21/0.74 thf(zip_derived_cl60, plain,
% 0.21/0.74 (![X0 : $i]:
% 0.21/0.74 (((singleton_set @ m1) != (singleton_set @ X0)) | ((m2) = (X0)))),
% 0.21/0.74 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl36])).
% 0.21/0.74 thf(zip_derived_cl63, plain, (((m2) = (m1))),
% 0.21/0.74 inference('eq_res', [status(thm)], [zip_derived_cl60])).
% 0.21/0.74 thf(prove_first_components_equal, conjecture, (( m1 ) = ( m2 ))).
% 0.21/0.74 thf(zf_stmt_0, negated_conjecture, (( m1 ) != ( m2 )),
% 0.21/0.74 inference('cnf.neg', [status(esa)], [prove_first_components_equal])).
% 0.21/0.74 thf(zip_derived_cl7, plain, (((m1) != (m2))),
% 0.21/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.74 thf(zip_derived_cl64, plain, ($false),
% 0.21/0.74 inference('simplify_reflect-', [status(thm)],
% 0.21/0.74 [zip_derived_cl63, zip_derived_cl7])).
% 0.21/0.74
% 0.21/0.74 % SZS output end Refutation
% 0.21/0.74
% 0.21/0.74
% 0.21/0.74 % Terminating...
% 0.21/0.86 % Runner terminated.
% 0.21/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------