TSTP Solution File: CAT008-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT008-1 : 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.tYoV0bexjV true
% Computer : n013.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 : Wed Aug 30 18:20:55 EDT 2023
% Result : Unsatisfiable 0.23s 0.83s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tYoV0bexjV true
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 00:28:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.83 % Solved by fo/fo3_bce.sh.
% 0.23/0.83 % BCE start: 20
% 0.23/0.83 % BCE eliminated: 0
% 0.23/0.83 % PE start: 20
% 0.23/0.83 logic: eq
% 0.23/0.83 % PE eliminated: -1
% 0.23/0.83 % done 100 iterations in 0.059s
% 0.23/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.83 % SZS output start Refutation
% 0.23/0.83 thf(b_type, type, b: $i).
% 0.23/0.83 thf(codomain_type, type, codomain: $i > $i).
% 0.23/0.83 thf(domain_type, type, domain: $i > $i).
% 0.23/0.83 thf(identity_map_type, type, identity_map: $i > $o).
% 0.23/0.83 thf(defined_type, type, defined: $i > $i > $o).
% 0.23/0.83 thf(product_type, type, product: $i > $i > $i > $o).
% 0.23/0.83 thf(a_type, type, a: $i).
% 0.23/0.83 thf(domain_is_an_identity_map, axiom, (identity_map @ ( domain @ X ))).
% 0.23/0.83 thf(zip_derived_cl9, plain, (![X0 : $i]: (identity_map @ (domain @ X0))),
% 0.23/0.83 inference('cnf', [status(esa)], [domain_is_an_identity_map])).
% 0.23/0.83 thf(identity1, axiom,
% 0.23/0.83 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ X ) ) |
% 0.23/0.83 ( product @ X @ Y @ Y ))).
% 0.23/0.83 thf(zip_derived_cl15, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 (~ (defined @ X0 @ X1)
% 0.23/0.83 | ~ (identity_map @ X0)
% 0.23/0.83 | (product @ X0 @ X1 @ X1))),
% 0.23/0.83 inference('cnf', [status(esa)], [identity1])).
% 0.23/0.83 thf(zip_derived_cl111, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 ( (product @ (domain @ X0) @ X1 @ X1)
% 0.23/0.83 | ~ (defined @ (domain @ X0) @ X1))),
% 0.23/0.83 inference('dp-resolution', [status(thm)],
% 0.23/0.83 [zip_derived_cl9, zip_derived_cl15])).
% 0.23/0.83 thf(composition_is_well_defined, axiom,
% 0.23/0.83 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.23/0.83 ( ( Z ) = ( W ) ))).
% 0.23/0.83 thf(zip_derived_cl17, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.23/0.83 (~ (product @ X0 @ X1 @ X2)
% 0.23/0.83 | ~ (product @ X0 @ X1 @ X3)
% 0.23/0.83 | ((X2) = (X3)))),
% 0.23/0.83 inference('cnf', [status(esa)], [composition_is_well_defined])).
% 0.23/0.83 thf(zip_derived_cl135, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.83 (~ (defined @ (domain @ X1) @ X0)
% 0.23/0.83 | ((X0) = (X2))
% 0.23/0.83 | ~ (product @ (domain @ X1) @ X0 @ X2))),
% 0.23/0.83 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl17])).
% 0.23/0.83 thf(associative_property1, axiom,
% 0.23/0.83 (( ~( product @ X @ Y @ Z ) ) | ( defined @ X @ Y ))).
% 0.23/0.83 thf(zip_derived_cl1, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.83 (~ (product @ X0 @ X1 @ X2) | (defined @ X0 @ X1))),
% 0.23/0.83 inference('cnf', [status(esa)], [associative_property1])).
% 0.23/0.83 thf(zip_derived_cl488, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.83 (~ (product @ (domain @ X1) @ X0 @ X2) | ((X0) = (X2)))),
% 0.23/0.83 inference('clc', [status(thm)], [zip_derived_cl135, zip_derived_cl1])).
% 0.23/0.83 thf(zip_derived_cl9, plain, (![X0 : $i]: (identity_map @ (domain @ X0))),
% 0.23/0.83 inference('cnf', [status(esa)], [domain_is_an_identity_map])).
% 0.23/0.83 thf(identity2, axiom,
% 0.23/0.83 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ Y ) ) |
% 0.23/0.83 ( product @ X @ Y @ X ))).
% 0.23/0.83 thf(zip_derived_cl16, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 (~ (defined @ X0 @ X1)
% 0.23/0.83 | ~ (identity_map @ X1)
% 0.23/0.83 | (product @ X0 @ X1 @ X0))),
% 0.23/0.83 inference('cnf', [status(esa)], [identity2])).
% 0.23/0.83 thf(zip_derived_cl112, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 ( (product @ X1 @ (domain @ X0) @ X1)
% 0.23/0.83 | ~ (defined @ X1 @ (domain @ X0)))),
% 0.23/0.83 inference('dp-resolution', [status(thm)],
% 0.23/0.83 [zip_derived_cl9, zip_derived_cl16])).
% 0.23/0.83 thf(zip_derived_cl491, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 (((domain @ X1) = (domain @ X0))
% 0.23/0.83 | ~ (defined @ (domain @ X0) @ (domain @ X1)))),
% 0.23/0.83 inference('sup+', [status(thm)], [zip_derived_cl488, zip_derived_cl112])).
% 0.23/0.83 thf(product_on_domain, axiom, (product @ X @ ( domain @ X ) @ X)).
% 0.23/0.83 thf(zip_derived_cl13, plain,
% 0.23/0.83 (![X0 : $i]: (product @ X0 @ (domain @ X0) @ X0)),
% 0.23/0.83 inference('cnf', [status(esa)], [product_on_domain])).
% 0.23/0.83 thf(associative_property2, axiom,
% 0.23/0.83 (( ~( product @ X @ Y @ Xy ) ) | ( ~( defined @ Xy @ Z ) ) |
% 0.23/0.83 ( defined @ Y @ Z ))).
% 0.23/0.83 thf(zip_derived_cl2, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.23/0.83 (~ (product @ X0 @ X1 @ X2)
% 0.23/0.83 | ~ (defined @ X2 @ X3)
% 0.23/0.83 | (defined @ X1 @ X3))),
% 0.23/0.83 inference('cnf', [status(esa)], [associative_property2])).
% 0.23/0.83 thf(zip_derived_cl127, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 ( (defined @ (domain @ X0) @ X1) | ~ (defined @ X0 @ X1))),
% 0.23/0.83 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 0.23/0.83 thf(zip_derived_cl517, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 (((domain @ X0) = (domain @ X1)) | ~ (defined @ X1 @ (domain @ X0)))),
% 0.23/0.83 inference('sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl127])).
% 0.23/0.83 thf(ab_defined, axiom, (defined @ a @ b)).
% 0.23/0.83 thf(zip_derived_cl18, plain, ( (defined @ a @ b)),
% 0.23/0.83 inference('cnf', [status(esa)], [ab_defined])).
% 0.23/0.83 thf(zip_derived_cl127, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 ( (defined @ (domain @ X0) @ X1) | ~ (defined @ X0 @ X1))),
% 0.23/0.83 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 0.23/0.83 thf(zip_derived_cl111, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 ( (product @ (domain @ X0) @ X1 @ X1)
% 0.23/0.83 | ~ (defined @ (domain @ X0) @ X1))),
% 0.23/0.83 inference('dp-resolution', [status(thm)],
% 0.23/0.83 [zip_derived_cl9, zip_derived_cl15])).
% 0.23/0.83 thf(category_theory_axiom3, axiom,
% 0.23/0.83 (( ~( product @ Y @ Z @ Yz ) ) | ( ~( defined @ X @ Yz ) ) |
% 0.23/0.83 ( defined @ X @ Y ))).
% 0.23/0.83 thf(zip_derived_cl5, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.23/0.83 (~ (product @ X0 @ X1 @ X2)
% 0.23/0.83 | ~ (defined @ X3 @ X2)
% 0.23/0.83 | (defined @ X3 @ X0))),
% 0.23/0.83 inference('cnf', [status(esa)], [category_theory_axiom3])).
% 0.23/0.83 thf(zip_derived_cl134, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.83 (~ (defined @ (domain @ X1) @ X0)
% 0.23/0.83 | (defined @ X2 @ (domain @ X1))
% 0.23/0.83 | ~ (defined @ X2 @ X0))),
% 0.23/0.83 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl5])).
% 0.23/0.83 thf(zip_derived_cl438, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.83 (~ (defined @ X1 @ X0)
% 0.23/0.83 | ~ (defined @ X2 @ X0)
% 0.23/0.83 | (defined @ X2 @ (domain @ X1)))),
% 0.23/0.83 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl134])).
% 0.23/0.83 thf(zip_derived_cl453, plain,
% 0.23/0.83 (![X0 : $i]: ( (defined @ X0 @ (domain @ a)) | ~ (defined @ X0 @ b))),
% 0.23/0.83 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl438])).
% 0.23/0.83 thf(zip_derived_cl548, plain,
% 0.23/0.83 (![X0 : $i]: (((domain @ a) = (domain @ X0)) | ~ (defined @ X0 @ b))),
% 0.23/0.83 inference('sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl453])).
% 0.23/0.83 thf(mapping_from_codomain_of_x_to_x, axiom, (defined @ ( codomain @ X ) @ X)).
% 0.23/0.83 thf(zip_derived_cl12, plain, (![X0 : $i]: (defined @ (codomain @ X0) @ X0)),
% 0.23/0.83 inference('cnf', [status(esa)], [mapping_from_codomain_of_x_to_x])).
% 0.23/0.83 thf(zip_derived_cl566, plain, (((domain @ a) = (domain @ (codomain @ b)))),
% 0.23/0.83 inference('sup+', [status(thm)], [zip_derived_cl548, zip_derived_cl12])).
% 0.23/0.83 thf(zip_derived_cl13, plain,
% 0.23/0.83 (![X0 : $i]: (product @ X0 @ (domain @ X0) @ X0)),
% 0.23/0.83 inference('cnf', [status(esa)], [product_on_domain])).
% 0.23/0.83 thf(zip_derived_cl17, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.23/0.83 (~ (product @ X0 @ X1 @ X2)
% 0.23/0.83 | ~ (product @ X0 @ X1 @ X3)
% 0.23/0.83 | ((X2) = (X3)))),
% 0.23/0.83 inference('cnf', [status(esa)], [composition_is_well_defined])).
% 0.23/0.83 thf(zip_derived_cl123, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 (((X0) = (X1)) | ~ (product @ X0 @ (domain @ X0) @ X1))),
% 0.23/0.83 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl17])).
% 0.23/0.83 thf(codomain_is_an_identity_map, axiom, (identity_map @ ( codomain @ X ))).
% 0.23/0.83 thf(zip_derived_cl10, plain, (![X0 : $i]: (identity_map @ (codomain @ X0))),
% 0.23/0.83 inference('cnf', [status(esa)], [codomain_is_an_identity_map])).
% 0.23/0.83 thf(zip_derived_cl15, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 (~ (defined @ X0 @ X1)
% 0.23/0.83 | ~ (identity_map @ X0)
% 0.23/0.83 | (product @ X0 @ X1 @ X1))),
% 0.23/0.83 inference('cnf', [status(esa)], [identity1])).
% 0.23/0.83 thf(zip_derived_cl114, plain,
% 0.23/0.83 (![X0 : $i, X1 : $i]:
% 0.23/0.83 ( (product @ (codomain @ X0) @ X1 @ X1)
% 0.23/0.83 | ~ (defined @ (codomain @ X0) @ X1))),
% 0.23/0.83 inference('dp-resolution', [status(thm)],
% 0.23/0.83 [zip_derived_cl10, zip_derived_cl15])).
% 0.23/0.83 thf(zip_derived_cl183, plain,
% 0.23/0.83 (![X0 : $i]:
% 0.23/0.83 (((codomain @ X0) = (domain @ (codomain @ X0)))
% 0.23/0.83 | ~ (defined @ (codomain @ X0) @ (domain @ (codomain @ X0))))),
% 0.23/0.83 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl114])).
% 0.23/0.83 thf(mapping_from_x_to_its_domain, axiom, (defined @ X @ ( domain @ X ))).
% 0.23/0.83 thf(zip_derived_cl11, plain, (![X0 : $i]: (defined @ X0 @ (domain @ X0))),
% 0.23/0.83 inference('cnf', [status(esa)], [mapping_from_x_to_its_domain])).
% 0.23/0.83 thf(zip_derived_cl184, plain,
% 0.23/0.83 (![X0 : $i]: ((codomain @ X0) = (domain @ (codomain @ X0)))),
% 0.23/0.83 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl11])).
% 0.23/0.83 thf(zip_derived_cl593, plain, (((codomain @ b) = (domain @ a))),
% 0.23/0.83 inference('sup+', [status(thm)], [zip_derived_cl566, zip_derived_cl184])).
% 0.23/0.83 thf(prove_domain_of_a_equals_codomain_of_b, conjecture,
% 0.23/0.83 (( domain @ a ) = ( codomain @ b ))).
% 0.23/0.83 thf(zf_stmt_0, negated_conjecture, (( domain @ a ) != ( codomain @ b )),
% 0.23/0.83 inference('cnf.neg', [status(esa)],
% 0.23/0.83 [prove_domain_of_a_equals_codomain_of_b])).
% 0.23/0.83 thf(zip_derived_cl19, plain, (((domain @ a) != (codomain @ b))),
% 0.23/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.83 thf(zip_derived_cl607, plain, ($false),
% 0.23/0.83 inference('simplify_reflect-', [status(thm)],
% 0.23/0.83 [zip_derived_cl593, zip_derived_cl19])).
% 0.23/0.83
% 0.23/0.83 % SZS output end Refutation
% 0.23/0.83
% 0.23/0.83
% 0.23/0.83 % Terminating...
% 1.38/0.88 % Runner terminated.
% 1.38/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------