%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP005-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HFi9sFWNPQ 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 Oct 2 05:08:41 PM UTC 2025
% Result : Unsatisfiable 0.61s 0.99s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : TOP005-2 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HFi9sFWNPQ true
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Oct 1 15:42:23 EDT 2025
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.58/0.65 % Total configuration time : 435
% 0.58/0.65 % Estimated wc time : 1092
% 0.58/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.99 % Solved by fo/fo7.sh.
% 0.61/0.99 % done 88 iterations in 0.180s
% 0.61/0.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.99 % SZS output start Refutation
% 0.61/0.99 thf(union_of_members_type, type, union_of_members: $i > $i).
% 0.61/0.99 thf(f10_type, type, f10: $i > $i > $i > $i).
% 0.61/0.99 thf(f11_type, type, f11: $i > $i > $i).
% 0.61/0.99 thf(element_of_set_type, type, element_of_set: $i > $i > $o).
% 0.61/0.99 thf(element_of_collection_type, type, element_of_collection: $i > $i > $o).
% 0.61/0.99 thf(g_type, type, g: $i).
% 0.61/0.99 thf(f_type, type, f: $i).
% 0.61/0.99 thf(subset_collections_type, type, subset_collections: $i > $i > $o).
% 0.61/0.99 thf(top_of_basis_type, type, top_of_basis: $i > $i).
% 0.61/0.99 thf(subset_sets_type, type, subset_sets: $i > $i > $o).
% 0.61/0.99 thf(f1_type, type, f1: $i > $i > $i).
% 0.61/0.99 thf(union_of_members_2, axiom,
% 0.61/0.99 (( ~( element_of_set @ U @ ( union_of_members @ Vf ) ) ) |
% 0.61/0.99 ( element_of_collection @ ( f1 @ Vf @ U ) @ Vf ))).
% 0.61/0.99 thf(zip_derived_cl1, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @ (union_of_members @ X1))
% 0.61/0.99 | (element_of_collection @ (f1 @ X1 @ X0) @ X1))),
% 0.61/0.99 inference('cnf', [status(esa)], [union_of_members_2])).
% 0.61/0.99 thf(lemma_1e_2, conjecture,
% 0.61/0.99 (~( subset_collections @ g @ ( top_of_basis @ f ) ))).
% 0.61/0.99 thf(zf_stmt_0, negated_conjecture,
% 0.61/0.99 (subset_collections @ g @ ( top_of_basis @ f )),
% 0.61/0.99 inference('cnf.neg', [status(esa)], [lemma_1e_2])).
% 0.61/0.99 thf(zip_derived_cl10, plain,
% 0.61/0.99 ( (subset_collections @ g @ (top_of_basis @ f))),
% 0.61/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.99 thf(set_theory_21, axiom,
% 0.61/0.99 (( ~( subset_collections @ X @ Y ) ) |
% 0.61/0.99 ( ~( element_of_collection @ U @ X ) ) | ( element_of_collection @ U @ Y ))).
% 0.61/0.99 thf(zip_derived_cl9, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.99 (~ (subset_collections @ X0 @ X1)
% 0.61/0.99 | ~ (element_of_collection @ X2 @ X0)
% 0.61/0.99 | (element_of_collection @ X2 @ X1))),
% 0.61/0.99 inference('cnf', [status(esa)], [set_theory_21])).
% 0.61/0.99 thf(zip_derived_cl13, plain,
% 0.61/0.99 (![X0 : $i]:
% 0.61/0.99 ( (element_of_collection @ X0 @ (top_of_basis @ f))
% 0.61/0.99 | ~ (element_of_collection @ X0 @ g))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.61/0.99 thf(topology_generated_39, axiom,
% 0.61/0.99 (( ~( element_of_collection @ U @ ( top_of_basis @ Vf ) ) ) |
% 0.61/0.99 ( ~( element_of_set @ X @ U ) ) |
% 0.61/0.99 ( subset_sets @ ( f10 @ Vf @ U @ X ) @ U ))).
% 0.61/0.99 thf(zip_derived_cl4, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.99 (~ (element_of_collection @ X0 @ (top_of_basis @ X1))
% 0.61/0.99 | ~ (element_of_set @ X2 @ X0)
% 0.61/0.99 | (subset_sets @ (f10 @ X1 @ X0 @ X2) @ X0))),
% 0.61/0.99 inference('cnf', [status(esa)], [topology_generated_39])).
% 0.61/0.99 thf(zip_derived_cl30, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_collection @ X0 @ g)
% 0.61/0.99 | (subset_sets @ (f10 @ f @ X0 @ X1) @ X0)
% 0.61/0.99 | ~ (element_of_set @ X1 @ X0))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 0.61/0.99 thf(zip_derived_cl41, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @ (union_of_members @ g))
% 0.61/0.99 | ~ (element_of_set @ X1 @ (f1 @ g @ X0))
% 0.61/0.99 | (subset_sets @ (f10 @ f @ (f1 @ g @ X0) @ X1) @ (f1 @ g @ X0)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl30])).
% 0.61/0.99 thf(topology_generated_40, axiom,
% 0.61/0.99 (( element_of_collection @ U @ ( top_of_basis @ Vf ) ) |
% 0.61/0.99 ( element_of_set @ ( f11 @ Vf @ U ) @ U ))).
% 0.61/0.99 thf(zip_derived_cl5, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 ( (element_of_collection @ X0 @ (top_of_basis @ X1))
% 0.61/0.99 | (element_of_set @ (f11 @ X1 @ X0) @ X0))),
% 0.61/0.99 inference('cnf', [status(esa)], [topology_generated_40])).
% 0.61/0.99 thf(lemma_1e_3, conjecture,
% 0.61/0.99 (element_of_collection @ ( union_of_members @ g ) @ ( top_of_basis @ f ))).
% 0.61/0.99 thf(zf_stmt_1, negated_conjecture,
% 0.61/0.99 (~( element_of_collection @ ( union_of_members @ g ) @ ( top_of_basis @ f ) )),
% 0.61/0.99 inference('cnf.neg', [status(esa)], [lemma_1e_3])).
% 0.61/0.99 thf(zip_derived_cl11, plain,
% 0.61/0.99 (~ (element_of_collection @ (union_of_members @ g) @ (top_of_basis @ f))),
% 0.61/0.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.99 thf(zip_derived_cl12, plain,
% 0.61/0.99 ( (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (union_of_members @ g))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.61/0.99 thf(zip_derived_cl1, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @ (union_of_members @ X1))
% 0.61/0.99 | (element_of_collection @ (f1 @ X1 @ X0) @ X1))),
% 0.61/0.99 inference('cnf', [status(esa)], [union_of_members_2])).
% 0.61/0.99 thf(set_theory_20, axiom,
% 0.61/0.99 (( ~( subset_sets @ X @ Y ) ) | ( ~( element_of_collection @ Y @ Z ) ) |
% 0.61/0.99 ( subset_sets @ X @ ( union_of_members @ Z ) ))).
% 0.61/0.99 thf(zip_derived_cl8, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.99 (~ (subset_sets @ X0 @ X1)
% 0.61/0.99 | ~ (element_of_collection @ X1 @ X2)
% 0.61/0.99 | (subset_sets @ X0 @ (union_of_members @ X2)))),
% 0.61/0.99 inference('cnf', [status(esa)], [set_theory_20])).
% 0.61/0.99 thf(zip_derived_cl15, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.99 (~ (element_of_set @ X1 @ (union_of_members @ X0))
% 0.61/0.99 | (subset_sets @ X2 @ (union_of_members @ X0))
% 0.61/0.99 | ~ (subset_sets @ X2 @ (f1 @ X0 @ X1)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 0.61/0.99 thf(zip_derived_cl19, plain,
% 0.61/0.99 (![X0 : $i]:
% 0.61/0.99 (~ (subset_sets @ X0 @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))))
% 0.61/0.99 | (subset_sets @ X0 @ (union_of_members @ g)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl15])).
% 0.61/0.99 thf(zip_derived_cl246, plain,
% 0.61/0.99 (![X0 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))))
% 0.61/0.99 | ~ (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (union_of_members @ g))
% 0.61/0.99 | (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @ X0) @
% 0.61/0.99 (union_of_members @ g)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl19])).
% 0.61/0.99 thf(zip_derived_cl12, plain,
% 0.61/0.99 ( (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (union_of_members @ g))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.61/0.99 thf(zip_derived_cl249, plain,
% 0.61/0.99 (![X0 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))))
% 0.61/0.99 | (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @ X0) @
% 0.61/0.99 (union_of_members @ g)))),
% 0.61/0.99 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl12])).
% 0.61/0.99 thf(zip_derived_cl1, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @ (union_of_members @ X1))
% 0.61/0.99 | (element_of_collection @ (f1 @ X1 @ X0) @ X1))),
% 0.61/0.99 inference('cnf', [status(esa)], [union_of_members_2])).
% 0.61/0.99 thf(zip_derived_cl13, plain,
% 0.61/0.99 (![X0 : $i]:
% 0.61/0.99 ( (element_of_collection @ X0 @ (top_of_basis @ f))
% 0.61/0.99 | ~ (element_of_collection @ X0 @ g))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.61/0.99 thf(topology_generated_38, axiom,
% 0.61/0.99 (( ~( element_of_collection @ U @ ( top_of_basis @ Vf ) ) ) |
% 0.61/0.99 ( ~( element_of_set @ X @ U ) ) |
% 0.61/0.99 ( element_of_collection @ ( f10 @ Vf @ U @ X ) @ Vf ))).
% 0.61/0.99 thf(zip_derived_cl3, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.99 (~ (element_of_collection @ X0 @ (top_of_basis @ X1))
% 0.61/0.99 | ~ (element_of_set @ X2 @ X0)
% 0.61/0.99 | (element_of_collection @ (f10 @ X1 @ X0 @ X2) @ X1))),
% 0.61/0.99 inference('cnf', [status(esa)], [topology_generated_38])).
% 0.61/0.99 thf(zip_derived_cl29, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_collection @ X0 @ g)
% 0.61/0.99 | (element_of_collection @ (f10 @ f @ X0 @ X1) @ f)
% 0.61/0.99 | ~ (element_of_set @ X1 @ X0))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl3])).
% 0.61/0.99 thf(zip_derived_cl12, plain,
% 0.61/0.99 ( (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (union_of_members @ g))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.61/0.99 thf(union_of_members_1, axiom,
% 0.61/0.99 (( ~( element_of_set @ U @ ( union_of_members @ Vf ) ) ) |
% 0.61/0.99 ( element_of_set @ U @ ( f1 @ Vf @ U ) ))).
% 0.61/0.99 thf(zip_derived_cl0, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @ (union_of_members @ X1))
% 0.61/0.99 | (element_of_set @ X0 @ (f1 @ X1 @ X0)))),
% 0.61/0.99 inference('cnf', [status(esa)], [union_of_members_1])).
% 0.61/0.99 thf(zip_derived_cl16, plain,
% 0.61/0.99 ( (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 0.61/0.99 thf(zip_derived_cl12, plain,
% 0.61/0.99 ( (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (union_of_members @ g))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.61/0.99 thf(zip_derived_cl1, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @ (union_of_members @ X1))
% 0.61/0.99 | (element_of_collection @ (f1 @ X1 @ X0) @ X1))),
% 0.61/0.99 inference('cnf', [status(esa)], [union_of_members_2])).
% 0.61/0.99 thf(zip_derived_cl13, plain,
% 0.61/0.99 (![X0 : $i]:
% 0.61/0.99 ( (element_of_collection @ X0 @ (top_of_basis @ f))
% 0.61/0.99 | ~ (element_of_collection @ X0 @ g))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.61/0.99 thf(topology_generated_37, axiom,
% 0.61/0.99 (( ~( element_of_collection @ U @ ( top_of_basis @ Vf ) ) ) |
% 0.61/0.99 ( ~( element_of_set @ X @ U ) ) |
% 0.61/0.99 ( element_of_set @ X @ ( f10 @ Vf @ U @ X ) ))).
% 0.61/0.99 thf(zip_derived_cl2, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.99 (~ (element_of_collection @ X0 @ (top_of_basis @ X1))
% 0.61/0.99 | ~ (element_of_set @ X2 @ X0)
% 0.61/0.99 | (element_of_set @ X2 @ (f10 @ X1 @ X0 @ X2)))),
% 0.61/0.99 inference('cnf', [status(esa)], [topology_generated_37])).
% 0.61/0.99 thf(zip_derived_cl28, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_collection @ X0 @ g)
% 0.61/0.99 | (element_of_set @ X1 @ (f10 @ f @ X0 @ X1))
% 0.61/0.99 | ~ (element_of_set @ X1 @ X0))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 0.61/0.99 thf(zip_derived_cl44, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 (~ (element_of_set @ X0 @ (union_of_members @ g))
% 0.61/0.99 | ~ (element_of_set @ X1 @ (f1 @ g @ X0))
% 0.61/0.99 | (element_of_set @ X1 @ (f10 @ f @ (f1 @ g @ X0) @ X1)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl28])).
% 0.61/0.99 thf(topology_generated_41, axiom,
% 0.61/0.99 (( element_of_collection @ U @ ( top_of_basis @ Vf ) ) |
% 0.61/0.99 ( ~( element_of_set @ ( f11 @ Vf @ U ) @ Uu11 ) ) |
% 0.61/0.99 ( ~( element_of_collection @ Uu11 @ Vf ) ) |
% 0.61/0.99 ( ~( subset_sets @ Uu11 @ U ) ))).
% 0.61/0.99 thf(zip_derived_cl6, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.99 ( (element_of_collection @ X0 @ (top_of_basis @ X1))
% 0.61/0.99 | ~ (element_of_set @ (f11 @ X1 @ X0) @ X2)
% 0.61/0.99 | ~ (element_of_collection @ X2 @ X1)
% 0.61/0.99 | ~ (subset_sets @ X2 @ X0))),
% 0.61/0.99 inference('cnf', [status(esa)], [topology_generated_41])).
% 0.61/0.99 thf(zip_derived_cl241, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.99 (~ (element_of_set @ (f11 @ X1 @ X0) @ (f1 @ g @ X2))
% 0.61/0.99 | ~ (element_of_set @ X2 @ (union_of_members @ g))
% 0.61/0.99 | ~ (subset_sets @ (f10 @ f @ (f1 @ g @ X2) @ (f11 @ X1 @ X0)) @ X0)
% 0.61/0.99 | ~ (element_of_collection @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ X2) @ (f11 @ X1 @ X0)) @ X1)
% 0.61/0.99 | (element_of_collection @ X0 @ (top_of_basis @ X1)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl6])).
% 0.61/0.99 thf(zip_derived_cl336, plain,
% 0.61/0.99 (![X0 : $i, X1 : $i]:
% 0.61/0.99 ( (element_of_collection @ X1 @ (top_of_basis @ X0))
% 0.61/0.99 | ~ (element_of_collection @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ X0 @ X1)) @
% 0.61/0.99 X0)
% 0.61/0.99 | ~ (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ X0 @ X1)) @
% 0.61/0.99 X1)
% 0.61/0.99 | ~ (element_of_set @ (f11 @ X0 @ X1) @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g)))))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl241])).
% 0.61/0.99 thf(zip_derived_cl341, plain,
% 0.61/0.99 ((~ (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (union_of_members @ g))
% 0.61/0.99 | ~ (element_of_collection @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 f)
% 0.61/0.99 | (element_of_collection @ (union_of_members @ g) @ (top_of_basis @ f)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl336])).
% 0.61/0.99 thf(zip_derived_cl11, plain,
% 0.61/0.99 (~ (element_of_collection @ (union_of_members @ g) @ (top_of_basis @ f))),
% 0.61/0.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.99 thf(zip_derived_cl365, plain,
% 0.61/0.99 ((~ (element_of_collection @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 f)
% 0.61/0.99 | ~ (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (union_of_members @ g)))),
% 0.61/0.99 inference('clc', [status(thm)], [zip_derived_cl341, zip_derived_cl11])).
% 0.61/0.99 thf(zip_derived_cl367, plain,
% 0.61/0.99 ((~ (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))))
% 0.61/0.99 | ~ (element_of_collection @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @ g)
% 0.61/0.99 | ~ (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (union_of_members @ g)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl365])).
% 0.61/0.99 thf(zip_derived_cl16, plain,
% 0.61/0.99 ( (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 0.61/0.99 thf(zip_derived_cl369, plain,
% 0.61/0.99 ((~ (element_of_collection @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @ g)
% 0.61/0.99 | ~ (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (union_of_members @ g)))),
% 0.61/0.99 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl16])).
% 0.61/0.99 thf(zip_derived_cl391, plain,
% 0.61/0.99 ((~ (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (union_of_members @ g))
% 0.61/0.99 | ~ (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (union_of_members @ g)))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl369])).
% 0.61/0.99 thf(zip_derived_cl12, plain,
% 0.61/0.99 ( (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (union_of_members @ g))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.61/0.99 thf(zip_derived_cl392, plain,
% 0.61/0.99 (~ (subset_sets @
% 0.61/0.99 (f10 @ f @ (f1 @ g @ (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (f11 @ f @ (union_of_members @ g))) @
% 0.61/0.99 (union_of_members @ g))),
% 0.61/0.99 inference('demod', [status(thm)], [zip_derived_cl391, zip_derived_cl12])).
% 0.61/0.99 thf(zip_derived_cl398, plain,
% 0.61/0.99 (~ (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl392])).
% 0.61/0.99 thf(zip_derived_cl16, plain,
% 0.61/0.99 ( (element_of_set @ (f11 @ f @ (union_of_members @ g)) @
% 0.61/0.99 (f1 @ g @ (f11 @ f @ (union_of_members @ g))))),
% 0.61/0.99 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 0.61/0.99 thf(zip_derived_cl402, plain, ($false),
% 0.61/0.99 inference('demod', [status(thm)], [zip_derived_cl398, zip_derived_cl16])).
% 0.61/0.99
% 0.61/0.99 % SZS output end Refutation
% 0.61/0.99
% 0.61/0.99
% 0.61/0.99 % Terminating...
% 1.09/1.10 % Runner terminated.
% 1.09/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------