TSTP Solution File: SET021-7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET021-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WA7RQBju0v true
% Computer : n021.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 16:11:52 EDT 2023
% Result : Unsatisfiable 1.47s 0.86s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET021-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WA7RQBju0v true
% 0.12/0.34 % Computer : n021.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 16:04:12 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.47/0.86 % Solved by fo/fo4.sh.
% 1.47/0.86 % done 64 iterations in 0.055s
% 1.47/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.47/0.86 % SZS output start Refutation
% 1.47/0.86 thf(universal_class_type, type, universal_class: $i).
% 1.47/0.86 thf(member_type, type, member: $i > $i > $o).
% 1.47/0.86 thf(v_type, type, v: $i).
% 1.47/0.86 thf(second_type, type, second: $i > $i).
% 1.47/0.86 thf(u_type, type, u: $i).
% 1.47/0.86 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.47/0.86 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.47/0.86 thf(first_type, type, first: $i > $i).
% 1.47/0.86 thf(prove_unique_1st_and_2nd_in_pair_of_sets2_1, conjecture,
% 1.47/0.86 (~( member @
% 1.47/0.86 ( ordered_pair @ u @ v ) @
% 1.47/0.86 ( cross_product @ universal_class @ universal_class ) ))).
% 1.47/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.47/0.86 (member @
% 1.47/0.86 ( ordered_pair @ u @ v ) @
% 1.47/0.86 ( cross_product @ universal_class @ universal_class )),
% 1.47/0.86 inference('cnf.neg', [status(esa)],
% 1.47/0.86 [prove_unique_1st_and_2nd_in_pair_of_sets2_1])).
% 1.47/0.86 thf(zip_derived_cl30, plain,
% 1.47/0.86 ( (member @ (ordered_pair @ u @ v) @
% 1.47/0.86 (cross_product @ universal_class @ universal_class))),
% 1.47/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.47/0.86 thf(cartesian_product4, axiom,
% 1.47/0.86 (( ~( member @ Z @ ( cross_product @ X @ Y ) ) ) |
% 1.47/0.86 ( ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) = ( Z ) ))).
% 1.47/0.86 thf(zip_derived_cl4, plain,
% 1.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.86 (~ (member @ X0 @ (cross_product @ X1 @ X2))
% 1.47/0.86 | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 1.47/0.86 inference('cnf', [status(esa)], [cartesian_product4])).
% 1.47/0.86 thf(zip_derived_cl374, plain,
% 1.47/0.86 (((ordered_pair @ (first @ (ordered_pair @ u @ v)) @
% 1.47/0.86 (second @ (ordered_pair @ u @ v))) = (ordered_pair @ u @ v))),
% 1.47/0.86 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl4])).
% 1.47/0.86 thf(zip_derived_cl30, plain,
% 1.47/0.86 ( (member @ (ordered_pair @ u @ v) @
% 1.47/0.86 (cross_product @ universal_class @ universal_class))),
% 1.47/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.47/0.86 thf(cartesian_product2, axiom,
% 1.47/0.86 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.47/0.86 ( member @ V @ Y ))).
% 1.47/0.86 thf(zip_derived_cl2, plain,
% 1.47/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.86 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.47/0.86 | (member @ X1 @ X3))),
% 1.47/0.86 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.47/0.86 thf(zip_derived_cl133, plain, ( (member @ v @ universal_class)),
% 1.47/0.86 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl2])).
% 1.47/0.86 thf(ordered_pair_determines_components2, axiom,
% 1.47/0.86 (( ( ordered_pair @ W @ X ) != ( ordered_pair @ Y @ Z ) ) |
% 1.47/0.86 ( ~( member @ X @ universal_class ) ) | ( ( X ) = ( Z ) ))).
% 1.47/0.86 thf(zip_derived_cl23, plain,
% 1.47/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.86 (((ordered_pair @ X2 @ X3) != (ordered_pair @ X0 @ X1))
% 1.47/0.86 | ~ (member @ X3 @ universal_class)
% 1.47/0.86 | ((X3) = (X1)))),
% 1.47/0.86 inference('cnf', [status(esa)], [ordered_pair_determines_components2])).
% 1.47/0.86 thf(zip_derived_cl147, plain,
% 1.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.86 (((v) = (X0)) | ((ordered_pair @ X1 @ v) != (ordered_pair @ X2 @ X0)))),
% 1.47/0.86 inference('sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl23])).
% 1.47/0.86 thf(zip_derived_cl387, plain,
% 1.47/0.86 (![X0 : $i]:
% 1.47/0.86 (((ordered_pair @ X0 @ v) != (ordered_pair @ u @ v))
% 1.47/0.86 | ((v) = (second @ (ordered_pair @ u @ v))))),
% 1.47/0.86 inference('sup-', [status(thm)], [zip_derived_cl374, zip_derived_cl147])).
% 1.47/0.86 thf(prove_unique_1st_and_2nd_in_pair_of_sets2_2, conjecture,
% 1.47/0.86 (( second @ ( ordered_pair @ u @ v ) ) = ( v ))).
% 1.47/0.86 thf(zf_stmt_1, negated_conjecture,
% 1.47/0.86 (( second @ ( ordered_pair @ u @ v ) ) != ( v )),
% 1.47/0.86 inference('cnf.neg', [status(esa)],
% 1.47/0.86 [prove_unique_1st_and_2nd_in_pair_of_sets2_2])).
% 1.47/0.86 thf(zip_derived_cl29, plain, (((second @ (ordered_pair @ u @ v)) != (v))),
% 1.47/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.47/0.86 thf(zip_derived_cl405, plain,
% 1.47/0.86 (![X0 : $i]: ((ordered_pair @ X0 @ v) != (ordered_pair @ u @ v))),
% 1.47/0.86 inference('simplify_reflect-', [status(thm)],
% 1.47/0.86 [zip_derived_cl387, zip_derived_cl29])).
% 1.47/0.86 thf(zip_derived_cl412, plain, ($false),
% 1.47/0.86 inference('eq_res', [status(thm)], [zip_derived_cl405])).
% 1.47/0.86
% 1.47/0.86 % SZS output end Refutation
% 1.47/0.86
% 1.47/0.86
% 1.47/0.86 % Terminating...
% 1.68/0.97 % Runner terminated.
% 1.68/0.98 % Zipperpin 1.5 exiting
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