TSTP Solution File: TOP001-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP001-2 : 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.rK4h0mV01Q true
% Computer : n009.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 : Fri Sep 1 06:03:40 EDT 2023
% Result : Unsatisfiable 0.59s 0.80s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rK4h0mV01Q true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 23:53:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80 % Solved by fo/fo3_bce.sh.
% 0.59/0.80 % BCE start: 13
% 0.59/0.80 % BCE eliminated: 0
% 0.59/0.80 % PE start: 13
% 0.59/0.80 logic: neq
% 0.59/0.80 % PE eliminated: 3
% 0.59/0.80 % done 39 iterations in 0.047s
% 0.59/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.80 % SZS output start Refutation
% 0.59/0.80 thf(f10_type, type, f10: $i > $i > $i > $i).
% 0.59/0.80 thf(basis_type, type, basis: $i > $i > $o).
% 0.59/0.80 thf(union_of_members_type, type, union_of_members: $i > $i).
% 0.59/0.80 thf(subset_sets_type, type, subset_sets: $i > $i > $o).
% 0.59/0.80 thf(top_of_basis_type, type, top_of_basis: $i > $i).
% 0.59/0.80 thf(element_of_set_type, type, element_of_set: $i > $i > $o).
% 0.59/0.80 thf(element_of_collection_type, type, element_of_collection: $i > $i > $o).
% 0.59/0.80 thf(equal_sets_type, type, equal_sets: $i > $i > $o).
% 0.59/0.80 thf(cx_type, type, cx: $i).
% 0.59/0.80 thf(in_1st_set_type, type, in_1st_set: $i > $i > $i).
% 0.59/0.80 thf(f_type, type, f: $i).
% 0.59/0.80 thf(f1_type, type, f1: $i > $i > $i).
% 0.59/0.80 thf(set_theory_5, axiom,
% 0.59/0.80 (( subset_sets @ X @ Y ) |
% 0.59/0.80 ( ~( element_of_set @ ( in_1st_set @ X @ Y ) @ Y ) ))).
% 0.59/0.80 thf(zip_derived_cl10, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i]:
% 0.59/0.80 ( (subset_sets @ X0 @ X1)
% 0.59/0.80 | ~ (element_of_set @ (in_1st_set @ X0 @ X1) @ X1))),
% 0.59/0.80 inference('cnf', [status(esa)], [set_theory_5])).
% 0.59/0.80 thf(lemma_1a_2, conjecture,
% 0.59/0.80 (subset_sets @ ( union_of_members @ ( top_of_basis @ f ) ) @ cx)).
% 0.59/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.80 (~( subset_sets @ ( union_of_members @ ( top_of_basis @ f ) ) @ cx )),
% 0.59/0.80 inference('cnf.neg', [status(esa)], [lemma_1a_2])).
% 0.59/0.80 thf(zip_derived_cl12, plain,
% 0.59/0.80 (~ (subset_sets @ (union_of_members @ (top_of_basis @ f)) @ cx)),
% 0.59/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.80 thf(zip_derived_cl19, plain,
% 0.59/0.80 (~ (element_of_set @
% 0.59/0.80 (in_1st_set @ (union_of_members @ (top_of_basis @ f)) @ cx) @ cx)),
% 0.59/0.80 inference('dp-resolution', [status(thm)],
% 0.59/0.80 [zip_derived_cl10, zip_derived_cl12])).
% 0.59/0.80 thf(union_of_members_1, axiom,
% 0.59/0.80 (( ~( element_of_set @ U @ ( union_of_members @ Vf ) ) ) |
% 0.59/0.80 ( element_of_set @ U @ ( f1 @ Vf @ U ) ))).
% 0.59/0.80 thf(zip_derived_cl0, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i]:
% 0.59/0.80 (~ (element_of_set @ X0 @ (union_of_members @ X1))
% 0.59/0.80 | (element_of_set @ X0 @ (f1 @ X1 @ X0)))),
% 0.59/0.80 inference('cnf', [status(esa)], [union_of_members_1])).
% 0.59/0.80 thf(union_of_members_2, axiom,
% 0.59/0.80 (( ~( element_of_set @ U @ ( union_of_members @ Vf ) ) ) |
% 0.59/0.80 ( element_of_collection @ ( f1 @ Vf @ U ) @ Vf ))).
% 0.59/0.80 thf(zip_derived_cl1, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i]:
% 0.59/0.80 (~ (element_of_set @ X0 @ (union_of_members @ X1))
% 0.59/0.80 | (element_of_collection @ (f1 @ X1 @ X0) @ X1))),
% 0.59/0.80 inference('cnf', [status(esa)], [union_of_members_2])).
% 0.59/0.80 thf(topology_generated_37, axiom,
% 0.59/0.80 (( ~( element_of_collection @ U @ ( top_of_basis @ Vf ) ) ) |
% 0.59/0.80 ( ~( element_of_set @ X @ U ) ) |
% 0.59/0.80 ( element_of_set @ X @ ( f10 @ Vf @ U @ X ) ))).
% 0.59/0.80 thf(zip_derived_cl4, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.80 (~ (element_of_collection @ X0 @ (top_of_basis @ X1))
% 0.59/0.80 | ~ (element_of_set @ X2 @ X0)
% 0.59/0.80 | (element_of_set @ X2 @ (f10 @ X1 @ X0 @ X2)))),
% 0.59/0.80 inference('cnf', [status(esa)], [topology_generated_37])).
% 0.59/0.80 thf(topology_generated_38, axiom,
% 0.59/0.80 (( ~( element_of_collection @ U @ ( top_of_basis @ Vf ) ) ) |
% 0.59/0.80 ( ~( element_of_set @ X @ U ) ) |
% 0.59/0.80 ( element_of_collection @ ( f10 @ Vf @ U @ X ) @ Vf ))).
% 0.59/0.80 thf(zip_derived_cl5, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.80 (~ (element_of_collection @ X0 @ (top_of_basis @ X1))
% 0.59/0.80 | ~ (element_of_set @ X2 @ X0)
% 0.59/0.80 | (element_of_collection @ (f10 @ X1 @ X0 @ X2) @ X1))),
% 0.59/0.80 inference('cnf', [status(esa)], [topology_generated_38])).
% 0.59/0.80 thf(union_of_members_3, axiom,
% 0.59/0.80 (( element_of_set @ U @ ( union_of_members @ Vf ) ) |
% 0.59/0.80 ( ~( element_of_set @ U @ Uu1 ) ) |
% 0.59/0.80 ( ~( element_of_collection @ Uu1 @ Vf ) ))).
% 0.59/0.80 thf(zip_derived_cl2, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.80 ( (element_of_set @ X0 @ (union_of_members @ X1))
% 0.59/0.80 | ~ (element_of_set @ X0 @ X2)
% 0.59/0.80 | ~ (element_of_collection @ X2 @ X1))),
% 0.59/0.80 inference('cnf', [status(esa)], [union_of_members_3])).
% 0.59/0.80 thf(zip_derived_cl29, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.80 (~ (element_of_set @ X1 @ X2)
% 0.59/0.80 | ~ (element_of_collection @ X2 @ (top_of_basis @ X0))
% 0.59/0.80 | ~ (element_of_set @ X3 @ (f10 @ X0 @ X2 @ X1))
% 0.59/0.80 | (element_of_set @ X3 @ (union_of_members @ X0)))),
% 0.59/0.80 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 0.59/0.80 thf(zip_derived_cl93, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.80 (~ (element_of_set @ X0 @ X1)
% 0.59/0.80 | ~ (element_of_collection @ X1 @ (top_of_basis @ X2))
% 0.59/0.80 | (element_of_set @ X0 @ (union_of_members @ X2))
% 0.59/0.80 | ~ (element_of_collection @ X1 @ (top_of_basis @ X2))
% 0.59/0.80 | ~ (element_of_set @ X0 @ X1))),
% 0.59/0.80 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl29])).
% 0.59/0.80 thf(zip_derived_cl96, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.80 ( (element_of_set @ X0 @ (union_of_members @ X2))
% 0.59/0.80 | ~ (element_of_collection @ X1 @ (top_of_basis @ X2))
% 0.59/0.80 | ~ (element_of_set @ X0 @ X1))),
% 0.59/0.80 inference('simplify', [status(thm)], [zip_derived_cl93])).
% 0.59/0.80 thf(zip_derived_cl104, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.80 (~ (element_of_set @ X1 @ (union_of_members @ (top_of_basis @ X0)))
% 0.59/0.80 | ~ (element_of_set @ X2 @ (f1 @ (top_of_basis @ X0) @ X1))
% 0.59/0.80 | (element_of_set @ X2 @ (union_of_members @ X0)))),
% 0.59/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl96])).
% 0.59/0.80 thf(zip_derived_cl139, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i]:
% 0.59/0.80 (~ (element_of_set @ X0 @ (union_of_members @ (top_of_basis @ X1)))
% 0.59/0.80 | (element_of_set @ X0 @ (union_of_members @ X1))
% 0.59/0.80 | ~ (element_of_set @ X0 @ (union_of_members @ (top_of_basis @ X1))))),
% 0.59/0.80 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl104])).
% 0.59/0.80 thf(zip_derived_cl145, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i]:
% 0.59/0.80 ( (element_of_set @ X0 @ (union_of_members @ X1))
% 0.59/0.80 | ~ (element_of_set @ X0 @ (union_of_members @ (top_of_basis @ X1))))),
% 0.59/0.80 inference('simplify', [status(thm)], [zip_derived_cl139])).
% 0.59/0.80 thf(set_theory_4, axiom,
% 0.59/0.80 (( subset_sets @ X @ Y ) | ( element_of_set @ ( in_1st_set @ X @ Y ) @ X ))).
% 0.59/0.80 thf(zip_derived_cl9, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i]:
% 0.59/0.80 ( (subset_sets @ X0 @ X1)
% 0.59/0.80 | (element_of_set @ (in_1st_set @ X0 @ X1) @ X0))),
% 0.59/0.80 inference('cnf', [status(esa)], [set_theory_4])).
% 0.59/0.80 thf(zip_derived_cl12, plain,
% 0.59/0.80 (~ (subset_sets @ (union_of_members @ (top_of_basis @ f)) @ cx)),
% 0.59/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.80 thf(zip_derived_cl17, plain,
% 0.59/0.80 ( (element_of_set @
% 0.59/0.80 (in_1st_set @ (union_of_members @ (top_of_basis @ f)) @ cx) @
% 0.59/0.80 (union_of_members @ (top_of_basis @ f)))),
% 0.59/0.80 inference('dp-resolution', [status(thm)],
% 0.59/0.80 [zip_derived_cl9, zip_derived_cl12])).
% 0.59/0.80 thf(zip_derived_cl157, plain,
% 0.59/0.80 ( (element_of_set @
% 0.59/0.80 (in_1st_set @ (union_of_members @ (top_of_basis @ f)) @ cx) @
% 0.59/0.80 (union_of_members @ f))),
% 0.59/0.80 inference('sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl17])).
% 0.59/0.80 thf(lemma_1a_1, conjecture, (~( basis @ cx @ f ))).
% 0.59/0.80 thf(zf_stmt_1, negated_conjecture, (basis @ cx @ f),
% 0.59/0.80 inference('cnf.neg', [status(esa)], [lemma_1a_1])).
% 0.59/0.80 thf(zip_derived_cl11, plain, ( (basis @ cx @ f)),
% 0.59/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.80 thf(basis_for_topology_28, axiom,
% 0.59/0.80 (( ~( basis @ X @ Vf ) ) | ( equal_sets @ ( union_of_members @ Vf ) @ X ))).
% 0.59/0.80 thf(zip_derived_cl3, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i]:
% 0.59/0.80 (~ (basis @ X0 @ X1) | (equal_sets @ (union_of_members @ X1) @ X0))),
% 0.59/0.80 inference('cnf', [status(esa)], [basis_for_topology_28])).
% 0.59/0.80 thf(zip_derived_cl13, plain, ( (equal_sets @ (union_of_members @ f) @ cx)),
% 0.59/0.80 inference('dp-resolution', [status(thm)],
% 0.59/0.80 [zip_derived_cl11, zip_derived_cl3])).
% 0.59/0.80 thf(set_theory_3, axiom,
% 0.59/0.80 (( ~( equal_sets @ X @ Y ) ) | ( subset_sets @ X @ Y ))).
% 0.59/0.80 thf(zip_derived_cl8, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i]:
% 0.59/0.80 (~ (equal_sets @ X0 @ X1) | (subset_sets @ X0 @ X1))),
% 0.59/0.80 inference('cnf', [status(esa)], [set_theory_3])).
% 0.59/0.80 thf(zip_derived_cl14, plain, ( (subset_sets @ (union_of_members @ f) @ cx)),
% 0.59/0.80 inference('dp-resolution', [status(thm)],
% 0.59/0.80 [zip_derived_cl13, zip_derived_cl8])).
% 0.59/0.80 thf(set_theory_2, axiom,
% 0.59/0.80 (( ~( subset_sets @ X @ Y ) ) | ( ~( element_of_set @ U @ X ) ) |
% 0.59/0.80 ( element_of_set @ U @ Y ))).
% 0.59/0.80 thf(zip_derived_cl7, plain,
% 0.59/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.80 (~ (subset_sets @ X0 @ X1)
% 0.59/0.80 | ~ (element_of_set @ X2 @ X0)
% 0.59/0.80 | (element_of_set @ X2 @ X1))),
% 0.59/0.80 inference('cnf', [status(esa)], [set_theory_2])).
% 0.59/0.80 thf(zip_derived_cl20, plain,
% 0.59/0.80 (![X0 : $i]:
% 0.59/0.80 ( (element_of_set @ X0 @ cx)
% 0.59/0.80 | ~ (element_of_set @ X0 @ (union_of_members @ f)))),
% 0.59/0.80 inference('dp-resolution', [status(thm)],
% 0.59/0.80 [zip_derived_cl14, zip_derived_cl7])).
% 0.59/0.80 thf(zip_derived_cl171, plain,
% 0.59/0.80 ( (element_of_set @
% 0.59/0.80 (in_1st_set @ (union_of_members @ (top_of_basis @ f)) @ cx) @ cx)),
% 0.59/0.80 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl20])).
% 0.59/0.80 thf(zip_derived_cl204, plain, ($false),
% 0.59/0.80 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl171])).
% 0.59/0.80
% 0.59/0.80 % SZS output end Refutation
% 0.59/0.80
% 0.59/0.80
% 0.59/0.80 % Terminating...
% 0.63/0.85 % Runner terminated.
% 0.63/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------