%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU323-10 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gnRNqMsttl true
% Computer : n025.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 04:54:14 PM UTC 2025
% Result : Unsatisfiable 0.48s 0.87s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEU323-10 : TPTP v9.2.0. Released v7.3.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gnRNqMsttl true
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 16:02:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.46/0.57 % Total configuration time : 435
% 0.46/0.57 % Estimated wc time : 1092
% 0.46/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.87 % Solved by fo/fo3_bce.sh.
% 0.48/0.87 % BCE start: 25
% 0.48/0.87 % BCE eliminated: 0
% 0.48/0.87 % PE start: 25
% 0.48/0.87 logic: eq
% 0.48/0.87 % PE eliminated: 0
% 0.48/0.87 % done 127 iterations in 0.150s
% 0.48/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.87 % SZS output start Refutation
% 0.48/0.87 thf(sK2_t51_tops_1_A_type, type, sK2_t51_tops_1_A: $i).
% 0.48/0.87 thf(powerset_type, type, powerset: $i > $i).
% 0.48/0.87 thf(sK1_t51_tops_1_B_type, type, sK1_t51_tops_1_B: $i).
% 0.48/0.87 thf(topological_space_type, type, topological_space: $i > $i).
% 0.48/0.87 thf(subset_complement_type, type, subset_complement: $i > $i > $i).
% 0.48/0.87 thf(open_subset_type, type, open_subset: $i > $i > $i).
% 0.48/0.87 thf(ifeq2_type, type, ifeq2: $i > $i > $i > $i > $i).
% 0.48/0.87 thf(topstr_closure_type, type, topstr_closure: $i > $i > $i).
% 0.48/0.87 thf(top_str_type, type, top_str: $i > $i).
% 0.48/0.87 thf(closed_subset_type, type, closed_subset: $i > $i > $i).
% 0.48/0.87 thf(interior_type, type, interior: $i > $i > $i).
% 0.48/0.87 thf(element_type, type, element: $i > $i > $i).
% 0.48/0.87 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 0.48/0.87 thf(the_carrier_type, type, the_carrier: $i > $i).
% 0.48/0.87 thf(true_type, type, true: $i).
% 0.48/0.87 thf(t51_tops_1_3, conjecture,
% 0.48/0.87 (( open_subset @
% 0.48/0.87 ( interior @ sK2_t51_tops_1_A @ sK1_t51_tops_1_B ) @ sK2_t51_tops_1_A ) =
% 0.48/0.87 ( true ))).
% 0.48/0.87 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.87 (( open_subset @
% 0.48/0.87 ( interior @ sK2_t51_tops_1_A @ sK1_t51_tops_1_B ) @ sK2_t51_tops_1_A ) !=
% 0.48/0.87 ( true )),
% 0.48/0.87 inference('cnf.neg', [status(esa)], [t51_tops_1_3])).
% 0.48/0.87 thf(zip_derived_cl24, plain,
% 0.48/0.87 (((open_subset @ (interior @ sK2_t51_tops_1_A @ sK1_t51_tops_1_B) @
% 0.48/0.87 sK2_t51_tops_1_A) != (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.87 thf(t51_tops_1_2, conjecture,
% 0.48/0.87 (( element @
% 0.48/0.87 sK1_t51_tops_1_B @ ( powerset @ ( the_carrier @ sK2_t51_tops_1_A ) ) ) !=
% 0.48/0.87 ( true ))).
% 0.48/0.87 thf(zf_stmt_1, negated_conjecture,
% 0.48/0.87 (( element @
% 0.48/0.87 sK1_t51_tops_1_B @ ( powerset @ ( the_carrier @ sK2_t51_tops_1_A ) ) ) =
% 0.48/0.87 ( true )),
% 0.48/0.87 inference('cnf.neg', [status(esa)], [t51_tops_1_2])).
% 0.48/0.87 thf(zip_derived_cl23, plain,
% 0.48/0.87 (((element @ sK1_t51_tops_1_B @
% 0.48/0.87 (powerset @ (the_carrier @ sK2_t51_tops_1_A))) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.87 thf(d1_tops_1, axiom,
% 0.48/0.87 (( ifeq2 @
% 0.48/0.87 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) @ true @
% 0.48/0.87 ( ifeq2 @
% 0.48/0.87 ( top_str @ A ) @ true @
% 0.48/0.87 ( subset_complement @
% 0.48/0.87 ( the_carrier @ A ) @
% 0.48/0.87 ( topstr_closure @
% 0.48/0.87 A @ ( subset_complement @ ( the_carrier @ A ) @ B ) ) ) @
% 0.48/0.87 ( interior @ A @ B ) ) @
% 0.48/0.87 ( interior @ A @ B ) ) =
% 0.48/0.87 ( interior @ A @ B ))).
% 0.48/0.87 thf(zip_derived_cl20, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i]:
% 0.48/0.87 ((ifeq2 @ (element @ X1 @ (powerset @ (the_carrier @ X0))) @ true @
% 0.48/0.87 (ifeq2 @ (top_str @ X0) @ true @
% 0.48/0.87 (subset_complement @ (the_carrier @ X0) @
% 0.48/0.87 (topstr_closure @ X0 @
% 0.48/0.87 (subset_complement @ (the_carrier @ X0) @ X1))) @
% 0.48/0.87 (interior @ X0 @ X1)) @
% 0.48/0.87 (interior @ X0 @ X1)) = (interior @ X0 @ X1))),
% 0.48/0.87 inference('cnf', [status(esa)], [d1_tops_1])).
% 0.48/0.87 thf(zip_derived_cl777, plain,
% 0.48/0.87 (((ifeq2 @ true @ true @
% 0.48/0.87 (ifeq2 @ (top_str @ sK2_t51_tops_1_A) @ true @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B))) @
% 0.48/0.87 (interior @ sK2_t51_tops_1_A @ sK1_t51_tops_1_B)) @
% 0.48/0.87 (interior @ sK2_t51_tops_1_A @ sK1_t51_tops_1_B))
% 0.48/0.87 = (interior @ sK2_t51_tops_1_A @ sK1_t51_tops_1_B))),
% 0.48/0.87 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl20])).
% 0.48/0.87 thf(t51_tops_1, conjecture, (( top_str @ sK2_t51_tops_1_A ) != ( true ))).
% 0.48/0.87 thf(zf_stmt_2, negated_conjecture,
% 0.48/0.87 (( top_str @ sK2_t51_tops_1_A ) = ( true )),
% 0.48/0.87 inference('cnf.neg', [status(esa)], [t51_tops_1])).
% 0.48/0.87 thf(zip_derived_cl21, plain, (((top_str @ sK2_t51_tops_1_A) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/0.87 thf(ifeq_axiom, axiom, (( ifeq2 @ A @ A @ B @ C ) = ( B ))).
% 0.48/0.87 thf(zip_derived_cl0, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.48/0.87 thf(zip_derived_cl0, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.48/0.87 thf(zip_derived_cl811, plain,
% 0.48/0.87 (((subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B)))
% 0.48/0.87 = (interior @ sK2_t51_tops_1_A @ sK1_t51_tops_1_B))),
% 0.48/0.87 inference('demod', [status(thm)],
% 0.48/0.87 [zip_derived_cl777, zip_derived_cl21, zip_derived_cl0,
% 0.48/0.87 zip_derived_cl0])).
% 0.48/0.87 thf(zip_derived_cl23, plain,
% 0.48/0.87 (((element @ sK1_t51_tops_1_B @
% 0.48/0.87 (powerset @ (the_carrier @ sK2_t51_tops_1_A))) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.87 thf(dt_k3_subset_1, axiom,
% 0.48/0.87 (( ifeq @
% 0.48/0.87 ( element @ B @ ( powerset @ A ) ) @ true @
% 0.48/0.87 ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) @ true ) =
% 0.48/0.87 ( true ))).
% 0.48/0.87 thf(zip_derived_cl8, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i]:
% 0.48/0.87 ((ifeq @ (element @ X0 @ (powerset @ X1)) @ true @
% 0.48/0.87 (element @ (subset_complement @ X1 @ X0) @ (powerset @ X1)) @ true)
% 0.48/0.87 = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [dt_k3_subset_1])).
% 0.48/0.87 thf(zip_derived_cl113, plain,
% 0.48/0.87 (((ifeq @ true @ true @
% 0.48/0.87 (element @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B) @
% 0.48/0.87 (powerset @ (the_carrier @ sK2_t51_tops_1_A))) @
% 0.48/0.87 true) = (true))),
% 0.48/0.87 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl8])).
% 0.48/0.87 thf(ifeq_axiom_001, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl121, plain,
% 0.48/0.87 (((true)
% 0.48/0.87 = (element @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B) @
% 0.48/0.87 (powerset @ (the_carrier @ sK2_t51_tops_1_A))))),
% 0.48/0.87 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.48/0.87 thf(fc2_tops_1, axiom,
% 0.48/0.87 (( ifeq @
% 0.48/0.87 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) @ true @
% 0.48/0.87 ( ifeq @
% 0.48/0.87 ( topological_space @ A ) @ true @
% 0.48/0.87 ( ifeq @
% 0.48/0.87 ( top_str @ A ) @ true @
% 0.48/0.87 ( closed_subset @ ( topstr_closure @ A @ B ) @ A ) @ true ) @
% 0.48/0.87 true ) @
% 0.48/0.87 true ) =
% 0.48/0.87 ( true ))).
% 0.48/0.87 thf(zip_derived_cl10, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i]:
% 0.48/0.87 ((ifeq @ (element @ X0 @ (powerset @ (the_carrier @ X1))) @ true @
% 0.48/0.87 (ifeq @ (topological_space @ X1) @ true @
% 0.48/0.87 (ifeq @ (top_str @ X1) @ true @
% 0.48/0.87 (closed_subset @ (topstr_closure @ X1 @ X0) @ X1) @ true) @
% 0.48/0.87 true) @
% 0.48/0.87 true) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [fc2_tops_1])).
% 0.48/0.87 thf(zip_derived_cl204, plain,
% 0.48/0.87 (((ifeq @ true @ true @
% 0.48/0.87 (ifeq @ (topological_space @ sK2_t51_tops_1_A) @ true @
% 0.48/0.87 (ifeq @ (top_str @ sK2_t51_tops_1_A) @ true @
% 0.48/0.87 (closed_subset @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B)) @
% 0.48/0.87 sK2_t51_tops_1_A) @
% 0.48/0.87 true) @
% 0.48/0.87 true) @
% 0.48/0.87 true) = (true))),
% 0.48/0.87 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl10])).
% 0.48/0.87 thf(t51_tops_1_1, conjecture,
% 0.48/0.87 (( topological_space @ sK2_t51_tops_1_A ) != ( true ))).
% 0.48/0.87 thf(zf_stmt_3, negated_conjecture,
% 0.48/0.87 (( topological_space @ sK2_t51_tops_1_A ) = ( true )),
% 0.48/0.87 inference('cnf.neg', [status(esa)], [t51_tops_1_1])).
% 0.48/0.87 thf(zip_derived_cl22, plain,
% 0.48/0.87 (((topological_space @ sK2_t51_tops_1_A) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.48/0.87 thf(zip_derived_cl21, plain, (((top_str @ sK2_t51_tops_1_A) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl215, plain,
% 0.48/0.87 (((closed_subset @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B)) @
% 0.48/0.87 sK2_t51_tops_1_A) = (true))),
% 0.48/0.87 inference('demod', [status(thm)],
% 0.48/0.87 [zip_derived_cl204, zip_derived_cl22, zip_derived_cl21,
% 0.48/0.87 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 0.48/0.87 thf(fc3_tops_1, axiom,
% 0.48/0.87 (( ifeq @
% 0.48/0.87 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) @ true @
% 0.48/0.87 ( ifeq @
% 0.48/0.87 ( closed_subset @ B @ A ) @ true @
% 0.48/0.87 ( ifeq @
% 0.48/0.87 ( topological_space @ A ) @ true @
% 0.48/0.87 ( ifeq @
% 0.48/0.87 ( top_str @ A ) @ true @
% 0.48/0.87 ( open_subset @
% 0.48/0.87 ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) @
% 0.48/0.87 true ) @
% 0.48/0.87 true ) @
% 0.48/0.87 true ) @
% 0.48/0.87 true ) =
% 0.48/0.87 ( true ))).
% 0.48/0.87 thf(zip_derived_cl2, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i]:
% 0.48/0.87 ((ifeq @ (element @ X0 @ (powerset @ (the_carrier @ X1))) @ true @
% 0.48/0.87 (ifeq @ (closed_subset @ X0 @ X1) @ true @
% 0.48/0.87 (ifeq @ (topological_space @ X1) @ true @
% 0.48/0.87 (ifeq @ (top_str @ X1) @ true @
% 0.48/0.87 (open_subset @ (subset_complement @ (the_carrier @ X1) @ X0) @ X1) @
% 0.48/0.87 true) @
% 0.48/0.87 true) @
% 0.48/0.87 true) @
% 0.48/0.87 true) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [fc3_tops_1])).
% 0.48/0.87 thf(zip_derived_cl234, plain,
% 0.48/0.87 (((ifeq @
% 0.48/0.87 (element @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B)) @
% 0.48/0.87 (powerset @ (the_carrier @ sK2_t51_tops_1_A))) @
% 0.48/0.87 true @
% 0.48/0.87 (ifeq @ true @ true @
% 0.48/0.87 (ifeq @ (topological_space @ sK2_t51_tops_1_A) @ true @
% 0.48/0.87 (ifeq @ (top_str @ sK2_t51_tops_1_A) @ true @
% 0.48/0.87 (open_subset @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B))) @
% 0.48/0.87 sK2_t51_tops_1_A) @
% 0.48/0.87 true) @
% 0.48/0.87 true) @
% 0.48/0.87 true) @
% 0.48/0.87 true) = (true))),
% 0.48/0.87 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl2])).
% 0.48/0.87 thf(zip_derived_cl121, plain,
% 0.48/0.87 (((true)
% 0.48/0.87 = (element @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B) @
% 0.48/0.87 (powerset @ (the_carrier @ sK2_t51_tops_1_A))))),
% 0.48/0.87 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.48/0.87 thf(dt_k6_pre_topc, axiom,
% 0.48/0.87 (( ifeq @
% 0.48/0.87 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) @ true @
% 0.48/0.87 ( ifeq @
% 0.48/0.87 ( top_str @ A ) @ true @
% 0.48/0.87 ( element @
% 0.48/0.87 ( topstr_closure @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) @
% 0.48/0.87 true ) @
% 0.48/0.87 true ) =
% 0.48/0.87 ( true ))).
% 0.48/0.87 thf(zip_derived_cl9, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i]:
% 0.48/0.87 ((ifeq @ (element @ X0 @ (powerset @ (the_carrier @ X1))) @ true @
% 0.48/0.87 (ifeq @ (top_str @ X1) @ true @
% 0.48/0.87 (element @ (topstr_closure @ X1 @ X0) @
% 0.48/0.87 (powerset @ (the_carrier @ X1))) @
% 0.48/0.87 true) @
% 0.48/0.87 true) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [dt_k6_pre_topc])).
% 0.48/0.87 thf(zip_derived_cl144, plain,
% 0.48/0.87 (((ifeq @ true @ true @
% 0.48/0.87 (ifeq @ (top_str @ sK2_t51_tops_1_A) @ true @
% 0.48/0.87 (element @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B)) @
% 0.48/0.87 (powerset @ (the_carrier @ sK2_t51_tops_1_A))) @
% 0.48/0.87 true) @
% 0.48/0.87 true) = (true))),
% 0.48/0.87 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl9])).
% 0.48/0.87 thf(zip_derived_cl21, plain, (((top_str @ sK2_t51_tops_1_A) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl150, plain,
% 0.48/0.87 (((element @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B)) @
% 0.48/0.87 (powerset @ (the_carrier @ sK2_t51_tops_1_A))) = (true))),
% 0.48/0.87 inference('demod', [status(thm)],
% 0.48/0.87 [zip_derived_cl144, zip_derived_cl21, zip_derived_cl1,
% 0.48/0.87 zip_derived_cl1])).
% 0.48/0.87 thf(zip_derived_cl22, plain,
% 0.48/0.87 (((topological_space @ sK2_t51_tops_1_A) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.48/0.87 thf(zip_derived_cl21, plain, (((top_str @ sK2_t51_tops_1_A) = (true))),
% 0.48/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl1, plain,
% 0.48/0.87 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.48/0.87 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.48/0.87 thf(zip_derived_cl236, plain,
% 0.48/0.87 (((open_subset @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 (topstr_closure @ sK2_t51_tops_1_A @
% 0.48/0.87 (subset_complement @ (the_carrier @ sK2_t51_tops_1_A) @
% 0.48/0.87 sK1_t51_tops_1_B))) @
% 0.48/0.87 sK2_t51_tops_1_A) = (true))),
% 0.48/0.87 inference('demod', [status(thm)],
% 0.48/0.87 [zip_derived_cl234, zip_derived_cl150, zip_derived_cl22,
% 0.48/0.87 zip_derived_cl21, zip_derived_cl1, zip_derived_cl1,
% 0.48/0.87 zip_derived_cl1, zip_derived_cl1])).
% 0.48/0.87 thf(zip_derived_cl812, plain, (((true) != (true))),
% 0.48/0.87 inference('demod', [status(thm)],
% 0.48/0.87 [zip_derived_cl24, zip_derived_cl811, zip_derived_cl236])).
% 0.48/0.87 thf(zip_derived_cl813, plain, ($false),
% 0.48/0.87 inference('simplify', [status(thm)], [zip_derived_cl812])).
% 0.48/0.87
% 0.48/0.87 % SZS output end Refutation
% 0.48/0.87
% 0.48/0.87
% 0.48/0.87 % Terminating...
% 0.51/1.01 % Runner terminated.
% 1.83/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------