%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET230-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xvCO2wak3s true
% Computer : n007.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 Oct 2 04:51:52 PM UTC 2025
% Result : Unsatisfiable 1.21s 0.87s
% Output : Refutation 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET230-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xvCO2wak3s true
% 0.09/0.30 % Computer : n007.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 13:07:23 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.52/0.58 % Total configuration time : 435
% 0.52/0.58 % Estimated wc time : 1092
% 0.52/0.58 % Estimated cpu time (7 cpus) : 156.0
% 1.05/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.05/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.21/0.85 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.21/0.87 % Solved by fo/fo6_bce.sh.
% 1.21/0.87 % BCE start: 114
% 1.21/0.87 % BCE eliminated: 1
% 1.21/0.87 % PE start: 113
% 1.21/0.87 logic: eq
% 1.21/0.87 % PE eliminated: 19
% 1.21/0.87 % done 238 iterations in 0.179s
% 1.21/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.21/0.87 % SZS output start Refutation
% 1.21/0.87 thf(member_type, type, member: $i > $i > $o).
% 1.21/0.87 thf(u_type, type, u: $i).
% 1.21/0.87 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.21/0.87 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.21/0.87 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.21/0.87 thf(w_type, type, w: $i).
% 1.21/0.87 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.21/0.87 thf(not_subclass_members1, axiom,
% 1.21/0.87 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.21/0.87 thf(zip_derived_cl1, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.21/0.87 | (subclass @ X0 @ X1))),
% 1.21/0.87 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.21/0.87 thf(cartesian_product3, axiom,
% 1.21/0.87 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 1.21/0.87 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 1.21/0.87 thf(zip_derived_cl15, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.21/0.87 (~ (member @ X0 @ X1)
% 1.21/0.87 | ~ (member @ X2 @ X3)
% 1.21/0.87 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 1.21/0.87 inference('cnf', [status(esa)], [cartesian_product3])).
% 1.21/0.87 thf(prove_corollary_to_cross_product_cancellation_1, conjecture,
% 1.21/0.87 (( cross_product @ u @ u ) != ( cross_product @ w @ w ))).
% 1.21/0.87 thf(zf_stmt_0, negated_conjecture,
% 1.21/0.87 (( cross_product @ u @ u ) = ( cross_product @ w @ w )),
% 1.21/0.87 inference('cnf.neg', [status(esa)],
% 1.21/0.87 [prove_corollary_to_cross_product_cancellation_1])).
% 1.21/0.87 thf(zip_derived_cl112, plain,
% 1.21/0.87 (((cross_product @ u @ u) = (cross_product @ w @ w))),
% 1.21/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.21/0.87 thf(cartesian_product1, axiom,
% 1.21/0.87 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.21/0.87 ( member @ U @ X ))).
% 1.21/0.87 thf(zip_derived_cl13, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.21/0.87 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.21/0.87 | (member @ X0 @ X2))),
% 1.21/0.87 inference('cnf', [status(esa)], [cartesian_product1])).
% 1.21/0.87 thf(zip_derived_cl541, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 (~ (member @ (ordered_pair @ X1 @ X0) @ (cross_product @ u @ u))
% 1.21/0.87 | (member @ X1 @ w))),
% 1.21/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl13])).
% 1.21/0.87 thf(zip_derived_cl551, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 (~ (member @ X0 @ u) | ~ (member @ X1 @ u) | (member @ X1 @ w))),
% 1.21/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl541])).
% 1.21/0.87 thf(zip_derived_cl553, plain,
% 1.21/0.87 (![X0 : $i]: ( (member @ X0 @ w) | ~ (member @ X0 @ u))),
% 1.21/0.87 inference('condensation', [status(thm)], [zip_derived_cl551])).
% 1.21/0.87 thf(not_subclass_members2, axiom,
% 1.21/0.87 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 1.21/0.87 ( subclass @ X @ Y ))).
% 1.21/0.87 thf(zip_derived_cl2, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.21/0.87 | (subclass @ X0 @ X1))),
% 1.21/0.87 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.21/0.87 thf(zip_derived_cl555, plain,
% 1.21/0.87 (![X0 : $i]:
% 1.21/0.87 (~ (member @ (not_subclass_element @ X0 @ w) @ u)
% 1.21/0.87 | (subclass @ X0 @ w))),
% 1.21/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl553, zip_derived_cl2])).
% 1.21/0.87 thf(zip_derived_cl556, plain, (( (subclass @ u @ w) | (subclass @ u @ w))),
% 1.21/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl555])).
% 1.21/0.87 thf(zip_derived_cl557, plain, ( (subclass @ u @ w)),
% 1.21/0.87 inference('simplify', [status(thm)], [zip_derived_cl556])).
% 1.21/0.87 thf(subclass_implies_equal, axiom,
% 1.21/0.87 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.21/0.87 thf(zip_derived_cl6, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 1.21/0.87 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 1.21/0.87 thf(zip_derived_cl565, plain, ((~ (subclass @ w @ u) | ((u) = (w)))),
% 1.21/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl6])).
% 1.21/0.87 thf(prove_corollary_to_cross_product_cancellation_2, conjecture,
% 1.21/0.87 (( u ) = ( w ))).
% 1.21/0.87 thf(zf_stmt_1, negated_conjecture, (( u ) != ( w )),
% 1.21/0.87 inference('cnf.neg', [status(esa)],
% 1.21/0.87 [prove_corollary_to_cross_product_cancellation_2])).
% 1.21/0.87 thf(zip_derived_cl113, plain, (((u) != (w))),
% 1.21/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.21/0.87 thf(zip_derived_cl566, plain, (~ (subclass @ w @ u)),
% 1.21/0.87 inference('simplify_reflect-', [status(thm)],
% 1.21/0.87 [zip_derived_cl565, zip_derived_cl113])).
% 1.21/0.87 thf(zip_derived_cl1, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.21/0.87 | (subclass @ X0 @ X1))),
% 1.21/0.87 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.21/0.87 thf(zip_derived_cl112, plain,
% 1.21/0.87 (((cross_product @ u @ u) = (cross_product @ w @ w))),
% 1.21/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.21/0.87 thf(zip_derived_cl15, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.21/0.87 (~ (member @ X0 @ X1)
% 1.21/0.87 | ~ (member @ X2 @ X3)
% 1.21/0.87 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 1.21/0.87 inference('cnf', [status(esa)], [cartesian_product3])).
% 1.21/0.87 thf(zip_derived_cl552, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 (~ (member @ X1 @ w)
% 1.21/0.87 | ~ (member @ X0 @ w)
% 1.21/0.87 | (member @ (ordered_pair @ X1 @ X0) @ (cross_product @ u @ u)))),
% 1.21/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl15])).
% 1.21/0.87 thf(zip_derived_cl13, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.21/0.87 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.21/0.87 | (member @ X0 @ X2))),
% 1.21/0.87 inference('cnf', [status(esa)], [cartesian_product1])).
% 1.21/0.87 thf(zip_derived_cl1006, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 (~ (member @ X0 @ w) | ~ (member @ X1 @ w) | (member @ X1 @ u))),
% 1.21/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl552, zip_derived_cl13])).
% 1.21/0.87 thf(zip_derived_cl1031, plain,
% 1.21/0.87 (![X0 : $i]: ( (member @ X0 @ u) | ~ (member @ X0 @ w))),
% 1.21/0.87 inference('condensation', [status(thm)], [zip_derived_cl1006])).
% 1.21/0.87 thf(zip_derived_cl1033, plain,
% 1.21/0.87 (![X0 : $i]:
% 1.21/0.87 ( (subclass @ w @ X0)
% 1.21/0.87 | (member @ (not_subclass_element @ w @ X0) @ u))),
% 1.21/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1031])).
% 1.21/0.87 thf(zip_derived_cl2, plain,
% 1.21/0.87 (![X0 : $i, X1 : $i]:
% 1.21/0.87 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.21/0.87 | (subclass @ X0 @ X1))),
% 1.21/0.87 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.21/0.87 thf(zip_derived_cl1129, plain, (( (subclass @ w @ u) | (subclass @ w @ u))),
% 1.21/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl1033, zip_derived_cl2])).
% 1.21/0.87 thf(zip_derived_cl1131, plain, ( (subclass @ w @ u)),
% 1.21/0.87 inference('simplify', [status(thm)], [zip_derived_cl1129])).
% 1.21/0.87 thf(zip_derived_cl1133, plain, ($false),
% 1.21/0.87 inference('demod', [status(thm)], [zip_derived_cl566, zip_derived_cl1131])).
% 1.21/0.87
% 1.21/0.87 % SZS output end Refutation
% 1.21/0.87
% 1.21/0.87
% 1.21/0.87 % Terminating...
% 1.49/1.03 % Runner terminated.
% 1.49/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------