TSTP Solution File: CAT003-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT003-1 : 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.joQ9ay04WN 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 : Wed Aug 30 18:20:51 EDT 2023
% Result : Unsatisfiable 5.98s 1.48s
% Output : Refutation 5.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.joQ9ay04WN true
% 0.15/0.36 % Computer : n021.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 00:27:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /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
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.98/1.48 % Solved by fo/fo3_bce.sh.
% 5.98/1.48 % BCE start: 23
% 5.98/1.48 % BCE eliminated: 0
% 5.98/1.48 % PE start: 23
% 5.98/1.48 logic: eq
% 5.98/1.48 % PE eliminated: -1
% 5.98/1.48 % done 1753 iterations in 0.673s
% 5.98/1.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.98/1.48 % SZS output start Refutation
% 5.98/1.48 thf(g_type, type, g: $i).
% 5.98/1.48 thf(b_type, type, b: $i).
% 5.98/1.48 thf(h_type, type, h: $i).
% 5.98/1.48 thf(compose_type, type, compose: $i > $i > $i).
% 5.98/1.48 thf(c_type, type, c: $i).
% 5.98/1.48 thf(codomain_type, type, codomain: $i > $i).
% 5.98/1.48 thf(d_type, type, d: $i).
% 5.98/1.48 thf(domain_type, type, domain: $i > $i).
% 5.98/1.48 thf(identity_map_type, type, identity_map: $i > $o).
% 5.98/1.48 thf(defined_type, type, defined: $i > $i > $o).
% 5.98/1.48 thf(product_type, type, product: $i > $i > $i > $o).
% 5.98/1.48 thf(a_type, type, a: $i).
% 5.98/1.48 thf(closure_of_composition, axiom,
% 5.98/1.48 (( ~( defined @ X @ Y ) ) | ( product @ X @ Y @ ( compose @ X @ Y ) ))).
% 5.98/1.48 thf(zip_derived_cl0, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ X1) | (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 5.98/1.48 inference('cnf', [status(esa)], [closure_of_composition])).
% 5.98/1.48 thf(zip_derived_cl0, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ X1) | (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 5.98/1.48 inference('cnf', [status(esa)], [closure_of_composition])).
% 5.98/1.48 thf(composition_is_well_defined, axiom,
% 5.98/1.48 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 5.98/1.48 ( ( Z ) = ( W ) ))).
% 5.98/1.48 thf(zip_derived_cl17, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2)
% 5.98/1.48 | ~ (product @ X0 @ X1 @ X3)
% 5.98/1.48 | ((X2) = (X3)))),
% 5.98/1.48 inference('cnf', [status(esa)], [composition_is_well_defined])).
% 5.98/1.48 thf(zip_derived_cl135, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (defined @ X1 @ X0)
% 5.98/1.48 | ((compose @ X1 @ X0) = (X2))
% 5.98/1.48 | ~ (product @ X1 @ X0 @ X2))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl17])).
% 5.98/1.48 thf(associative_property1, axiom,
% 5.98/1.48 (( ~( product @ X @ Y @ Z ) ) | ( defined @ X @ Y ))).
% 5.98/1.48 thf(zip_derived_cl1, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2) | (defined @ X0 @ X1))),
% 5.98/1.48 inference('cnf', [status(esa)], [associative_property1])).
% 5.98/1.48 thf(zip_derived_cl254, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X1 @ X0 @ X2) | ((compose @ X1 @ X0) = (X2)))),
% 5.98/1.48 inference('clc', [status(thm)], [zip_derived_cl135, zip_derived_cl1])).
% 5.98/1.48 thf(zip_derived_cl0, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ X1) | (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 5.98/1.48 inference('cnf', [status(esa)], [closure_of_composition])).
% 5.98/1.48 thf(ga_equals_d, axiom, (product @ g @ a @ d)).
% 5.98/1.48 thf(zip_derived_cl21, plain, ( (product @ g @ a @ d)),
% 5.98/1.48 inference('cnf', [status(esa)], [ga_equals_d])).
% 5.98/1.48 thf(ab_equals_c, axiom, (product @ a @ b @ c)).
% 5.98/1.48 thf(zip_derived_cl18, plain, ( (product @ a @ b @ c)),
% 5.98/1.48 inference('cnf', [status(esa)], [ab_equals_c])).
% 5.98/1.48 thf(category_theory_axiom5, axiom,
% 5.98/1.48 (( ~( product @ Y @ Z @ Yz ) ) | ( ~( product @ X @ Yz @ Xyz ) ) |
% 5.98/1.48 ( ~( product @ X @ Y @ Xy ) ) | ( product @ Xy @ Z @ Xyz ))).
% 5.98/1.48 thf(zip_derived_cl7, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2)
% 5.98/1.48 | ~ (product @ X3 @ X2 @ X4)
% 5.98/1.48 | ~ (product @ X3 @ X0 @ X5)
% 5.98/1.48 | (product @ X5 @ X1 @ X4))),
% 5.98/1.48 inference('cnf', [status(esa)], [category_theory_axiom5])).
% 5.98/1.48 thf(zip_derived_cl248, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 ( (product @ X1 @ b @ X0)
% 5.98/1.48 | ~ (product @ X2 @ a @ X1)
% 5.98/1.48 | ~ (product @ X2 @ c @ X0))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 5.98/1.48 thf(zip_derived_cl2330, plain,
% 5.98/1.48 (![X0 : $i]: (~ (product @ g @ c @ X0) | (product @ d @ b @ X0))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl248])).
% 5.98/1.48 thf(zip_derived_cl2947, plain,
% 5.98/1.48 ((~ (defined @ g @ c) | (product @ d @ b @ (compose @ g @ c)))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2330])).
% 5.98/1.48 thf(product_on_codomain, axiom, (product @ ( codomain @ X ) @ X @ X)).
% 5.98/1.48 thf(zip_derived_cl14, plain,
% 5.98/1.48 (![X0 : $i]: (product @ (codomain @ X0) @ X0 @ X0)),
% 5.98/1.48 inference('cnf', [status(esa)], [product_on_codomain])).
% 5.98/1.48 thf(category_theory_axiom1, axiom,
% 5.98/1.48 (( ~( product @ X @ Y @ Xy ) ) | ( ~( product @ Y @ Z @ Yz ) ) |
% 5.98/1.48 ( ~( defined @ Xy @ Z ) ) | ( defined @ X @ Yz ))).
% 5.98/1.48 thf(zip_derived_cl3, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2)
% 5.98/1.48 | ~ (product @ X1 @ X3 @ X4)
% 5.98/1.48 | ~ (defined @ X2 @ X3)
% 5.98/1.48 | (defined @ X0 @ X4))),
% 5.98/1.48 inference('cnf', [status(esa)], [category_theory_axiom1])).
% 5.98/1.48 thf(zip_derived_cl163, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 ( (defined @ (codomain @ X0) @ X1)
% 5.98/1.48 | ~ (defined @ X0 @ X2)
% 5.98/1.48 | ~ (product @ X0 @ X2 @ X1))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 5.98/1.48 thf(zip_derived_cl1, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2) | (defined @ X0 @ X1))),
% 5.98/1.48 inference('cnf', [status(esa)], [associative_property1])).
% 5.98/1.48 thf(zip_derived_cl670, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X2 @ X1) | (defined @ (codomain @ X0) @ X1))),
% 5.98/1.48 inference('clc', [status(thm)], [zip_derived_cl163, zip_derived_cl1])).
% 5.98/1.48 thf(zip_derived_cl18, plain, ( (product @ a @ b @ c)),
% 5.98/1.48 inference('cnf', [status(esa)], [ab_equals_c])).
% 5.98/1.48 thf(zip_derived_cl678, plain, ( (defined @ (codomain @ a) @ c)),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl670, zip_derived_cl18])).
% 5.98/1.48 thf(codomain_is_an_identity_map, axiom, (identity_map @ ( codomain @ X ))).
% 5.98/1.48 thf(zip_derived_cl10, plain, (![X0 : $i]: (identity_map @ (codomain @ X0))),
% 5.98/1.48 inference('cnf', [status(esa)], [codomain_is_an_identity_map])).
% 5.98/1.48 thf(category_theory_axiom6, axiom,
% 5.98/1.48 (( ~( defined @ X @ Y ) ) | ( ~( defined @ Y @ Z ) ) |
% 5.98/1.48 ( ~( identity_map @ Y ) ) | ( defined @ X @ Z ))).
% 5.98/1.48 thf(zip_derived_cl8, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ X1)
% 5.98/1.48 | ~ (defined @ X1 @ X2)
% 5.98/1.48 | ~ (identity_map @ X1)
% 5.98/1.48 | (defined @ X0 @ X2))),
% 5.98/1.48 inference('cnf', [status(esa)], [category_theory_axiom6])).
% 5.98/1.48 thf(zip_derived_cl124, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 ( (defined @ X1 @ X2)
% 5.98/1.48 | ~ (defined @ (codomain @ X0) @ X2)
% 5.98/1.48 | ~ (defined @ X1 @ (codomain @ X0)))),
% 5.98/1.48 inference('dp-resolution', [status(thm)],
% 5.98/1.48 [zip_derived_cl10, zip_derived_cl8])).
% 5.98/1.48 thf(zip_derived_cl764, plain,
% 5.98/1.48 (![X0 : $i]: (~ (defined @ X0 @ (codomain @ a)) | (defined @ X0 @ c))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl678, zip_derived_cl124])).
% 5.98/1.48 thf(zip_derived_cl14, plain,
% 5.98/1.48 (![X0 : $i]: (product @ (codomain @ X0) @ X0 @ X0)),
% 5.98/1.48 inference('cnf', [status(esa)], [product_on_codomain])).
% 5.98/1.48 thf(category_theory_axiom3, axiom,
% 5.98/1.48 (( ~( product @ Y @ Z @ Yz ) ) | ( ~( defined @ X @ Yz ) ) |
% 5.98/1.48 ( defined @ X @ Y ))).
% 5.98/1.48 thf(zip_derived_cl5, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2)
% 5.98/1.48 | ~ (defined @ X3 @ X2)
% 5.98/1.48 | (defined @ X3 @ X0))),
% 5.98/1.48 inference('cnf', [status(esa)], [category_theory_axiom3])).
% 5.98/1.48 thf(zip_derived_cl164, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 ( (defined @ X1 @ (codomain @ X0)) | ~ (defined @ X1 @ X0))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl5])).
% 5.98/1.48 thf(zip_derived_cl872, plain,
% 5.98/1.48 (![X0 : $i]: ( (defined @ X0 @ c) | ~ (defined @ X0 @ a))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl764, zip_derived_cl164])).
% 5.98/1.48 thf(zip_derived_cl14, plain,
% 5.98/1.48 (![X0 : $i]: (product @ (codomain @ X0) @ X0 @ X0)),
% 5.98/1.48 inference('cnf', [status(esa)], [product_on_codomain])).
% 5.98/1.48 thf(cancellation_for_product, axiom,
% 5.98/1.48 (( ~( product @ X @ c @ W ) ) | ( ~( product @ Y @ c @ W ) ) |
% 5.98/1.48 ( ( X ) = ( Y ) ))).
% 5.98/1.48 thf(zip_derived_cl19, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X0 @ c @ X1) | ~ (product @ X2 @ c @ X1) | ((X0) = (X2)))),
% 5.98/1.48 inference('cnf', [status(esa)], [cancellation_for_product])).
% 5.98/1.48 thf(zip_derived_cl166, plain,
% 5.98/1.48 (![X0 : $i]: (((codomain @ c) = (X0)) | ~ (product @ X0 @ c @ c))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl19])).
% 5.98/1.48 thf(domain_is_an_identity_map, axiom, (identity_map @ ( domain @ X ))).
% 5.98/1.48 thf(zip_derived_cl9, plain, (![X0 : $i]: (identity_map @ (domain @ X0))),
% 5.98/1.48 inference('cnf', [status(esa)], [domain_is_an_identity_map])).
% 5.98/1.48 thf(identity1, axiom,
% 5.98/1.48 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ X ) ) |
% 5.98/1.48 ( product @ X @ Y @ Y ))).
% 5.98/1.48 thf(zip_derived_cl15, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ X1)
% 5.98/1.48 | ~ (identity_map @ X0)
% 5.98/1.48 | (product @ X0 @ X1 @ X1))),
% 5.98/1.48 inference('cnf', [status(esa)], [identity1])).
% 5.98/1.48 thf(zip_derived_cl122, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 ( (product @ (domain @ X0) @ X1 @ X1)
% 5.98/1.48 | ~ (defined @ (domain @ X0) @ X1))),
% 5.98/1.48 inference('dp-resolution', [status(thm)],
% 5.98/1.48 [zip_derived_cl9, zip_derived_cl15])).
% 5.98/1.48 thf(zip_derived_cl437, plain,
% 5.98/1.48 (![X0 : $i]:
% 5.98/1.48 (((codomain @ c) = (domain @ X0)) | ~ (defined @ (domain @ X0) @ c))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl122])).
% 5.98/1.48 thf(product_on_domain, axiom, (product @ X @ ( domain @ X ) @ X)).
% 5.98/1.48 thf(zip_derived_cl13, plain,
% 5.98/1.48 (![X0 : $i]: (product @ X0 @ (domain @ X0) @ X0)),
% 5.98/1.48 inference('cnf', [status(esa)], [product_on_domain])).
% 5.98/1.48 thf(associative_property2, axiom,
% 5.98/1.48 (( ~( product @ X @ Y @ Xy ) ) | ( ~( defined @ Xy @ Z ) ) |
% 5.98/1.48 ( defined @ Y @ Z ))).
% 5.98/1.48 thf(zip_derived_cl2, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2)
% 5.98/1.48 | ~ (defined @ X2 @ X3)
% 5.98/1.48 | (defined @ X1 @ X3))),
% 5.98/1.48 inference('cnf', [status(esa)], [associative_property2])).
% 5.98/1.48 thf(zip_derived_cl149, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 ( (defined @ (domain @ X0) @ X1) | ~ (defined @ X0 @ X1))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 5.98/1.48 thf(zip_derived_cl535, plain,
% 5.98/1.48 (![X0 : $i]: (((codomain @ c) = (domain @ X0)) | ~ (defined @ X0 @ c))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl437, zip_derived_cl149])).
% 5.98/1.48 thf(zip_derived_cl678, plain, ( (defined @ (codomain @ a) @ c)),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl670, zip_derived_cl18])).
% 5.98/1.48 thf(zip_derived_cl166, plain,
% 5.98/1.48 (![X0 : $i]: (((codomain @ c) = (X0)) | ~ (product @ X0 @ c @ c))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl19])).
% 5.98/1.48 thf(zip_derived_cl10, plain, (![X0 : $i]: (identity_map @ (codomain @ X0))),
% 5.98/1.48 inference('cnf', [status(esa)], [codomain_is_an_identity_map])).
% 5.98/1.48 thf(zip_derived_cl15, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ X1)
% 5.98/1.48 | ~ (identity_map @ X0)
% 5.98/1.48 | (product @ X0 @ X1 @ X1))),
% 5.98/1.48 inference('cnf', [status(esa)], [identity1])).
% 5.98/1.48 thf(zip_derived_cl125, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 ( (product @ (codomain @ X0) @ X1 @ X1)
% 5.98/1.48 | ~ (defined @ (codomain @ X0) @ X1))),
% 5.98/1.48 inference('dp-resolution', [status(thm)],
% 5.98/1.48 [zip_derived_cl10, zip_derived_cl15])).
% 5.98/1.48 thf(zip_derived_cl439, plain,
% 5.98/1.48 (![X0 : $i]:
% 5.98/1.48 (((codomain @ c) = (codomain @ X0))
% 5.98/1.48 | ~ (defined @ (codomain @ X0) @ c))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl125])).
% 5.98/1.48 thf(zip_derived_cl765, plain, (((codomain @ c) = (codomain @ a))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl678, zip_derived_cl439])).
% 5.98/1.48 thf(zip_derived_cl776, plain,
% 5.98/1.48 (![X0 : $i]: (((codomain @ a) = (domain @ X0)) | ~ (defined @ X0 @ c))),
% 5.98/1.48 inference('demod', [status(thm)], [zip_derived_cl535, zip_derived_cl765])).
% 5.98/1.48 thf(zip_derived_cl915, plain,
% 5.98/1.48 (![X0 : $i]: (~ (defined @ X0 @ a) | ((codomain @ a) = (domain @ X0)))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl872, zip_derived_cl776])).
% 5.98/1.48 thf(zip_derived_cl915, plain,
% 5.98/1.48 (![X0 : $i]: (~ (defined @ X0 @ a) | ((codomain @ a) = (domain @ X0)))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl872, zip_derived_cl776])).
% 5.98/1.48 thf(zip_derived_cl1, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2) | (defined @ X0 @ X1))),
% 5.98/1.48 inference('cnf', [status(esa)], [associative_property1])).
% 5.98/1.48 thf(ha_equals_d, axiom, (product @ h @ a @ d)).
% 5.98/1.48 thf(zip_derived_cl20, plain, ( (product @ h @ a @ d)),
% 5.98/1.48 inference('cnf', [status(esa)], [ha_equals_d])).
% 5.98/1.48 thf(zip_derived_cl129, plain, ( (defined @ h @ a)),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 5.98/1.48 thf(zip_derived_cl939, plain, (((codomain @ a) = (domain @ h))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl915, zip_derived_cl129])).
% 5.98/1.48 thf(zip_derived_cl954, plain,
% 5.98/1.48 (![X0 : $i]: (~ (defined @ X0 @ a) | ((domain @ h) = (domain @ X0)))),
% 5.98/1.48 inference('demod', [status(thm)], [zip_derived_cl915, zip_derived_cl939])).
% 5.98/1.48 thf(zip_derived_cl1, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2) | (defined @ X0 @ X1))),
% 5.98/1.48 inference('cnf', [status(esa)], [associative_property1])).
% 5.98/1.48 thf(zip_derived_cl21, plain, ( (product @ g @ a @ d)),
% 5.98/1.48 inference('cnf', [status(esa)], [ga_equals_d])).
% 5.98/1.48 thf(zip_derived_cl130, plain, ( (defined @ g @ a)),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 5.98/1.48 thf(zip_derived_cl1132, plain, (((domain @ h) = (domain @ g))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl954, zip_derived_cl130])).
% 5.98/1.48 thf(mapping_from_x_to_its_domain, axiom, (defined @ X @ ( domain @ X ))).
% 5.98/1.48 thf(zip_derived_cl11, plain, (![X0 : $i]: (defined @ X0 @ (domain @ X0))),
% 5.98/1.48 inference('cnf', [status(esa)], [mapping_from_x_to_its_domain])).
% 5.98/1.48 thf(zip_derived_cl1147, plain, ( (defined @ g @ (domain @ h))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl1132, zip_derived_cl11])).
% 5.98/1.48 thf(zip_derived_cl764, plain,
% 5.98/1.48 (![X0 : $i]: (~ (defined @ X0 @ (codomain @ a)) | (defined @ X0 @ c))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl678, zip_derived_cl124])).
% 5.98/1.48 thf(zip_derived_cl939, plain, (((codomain @ a) = (domain @ h))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl915, zip_derived_cl129])).
% 5.98/1.48 thf(zip_derived_cl948, plain,
% 5.98/1.48 (![X0 : $i]: (~ (defined @ X0 @ (domain @ h)) | (defined @ X0 @ c))),
% 5.98/1.48 inference('demod', [status(thm)], [zip_derived_cl764, zip_derived_cl939])).
% 5.98/1.48 thf(zip_derived_cl1186, plain, ( (defined @ g @ c)),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl1147, zip_derived_cl948])).
% 5.98/1.48 thf(zip_derived_cl2948, plain, ( (product @ d @ b @ (compose @ g @ c))),
% 5.98/1.48 inference('demod', [status(thm)],
% 5.98/1.48 [zip_derived_cl2947, zip_derived_cl1186])).
% 5.98/1.48 thf(zip_derived_cl6475, plain, (((compose @ d @ b) = (compose @ g @ c))),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl2948])).
% 5.98/1.48 thf(zip_derived_cl0, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ X1) | (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 5.98/1.48 inference('cnf', [status(esa)], [closure_of_composition])).
% 5.98/1.48 thf(zip_derived_cl18, plain, ( (product @ a @ b @ c)),
% 5.98/1.48 inference('cnf', [status(esa)], [ab_equals_c])).
% 5.98/1.48 thf(zip_derived_cl20, plain, ( (product @ h @ a @ d)),
% 5.98/1.48 inference('cnf', [status(esa)], [ha_equals_d])).
% 5.98/1.48 thf(category_theory_axiom2, axiom,
% 5.98/1.48 (( ~( product @ X @ Y @ Xy ) ) | ( ~( product @ Xy @ Z @ Xyz ) ) |
% 5.98/1.48 ( ~( product @ Y @ Z @ Yz ) ) | ( product @ X @ Yz @ Xyz ))).
% 5.98/1.48 thf(zip_derived_cl4, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2)
% 5.98/1.48 | ~ (product @ X2 @ X3 @ X4)
% 5.98/1.48 | ~ (product @ X1 @ X3 @ X5)
% 5.98/1.48 | (product @ X0 @ X5 @ X4))),
% 5.98/1.48 inference('cnf', [status(esa)], [category_theory_axiom2])).
% 5.98/1.48 thf(zip_derived_cl201, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 ( (product @ h @ X1 @ X0)
% 5.98/1.48 | ~ (product @ a @ X2 @ X1)
% 5.98/1.48 | ~ (product @ d @ X2 @ X0))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl4])).
% 5.98/1.48 thf(zip_derived_cl1146, plain,
% 5.98/1.48 (![X0 : $i]: (~ (product @ d @ b @ X0) | (product @ h @ c @ X0))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl201])).
% 5.98/1.48 thf(zip_derived_cl2943, plain,
% 5.98/1.48 ((~ (defined @ d @ b) | (product @ h @ c @ (compose @ d @ b)))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1146])).
% 5.98/1.48 thf(zip_derived_cl20, plain, ( (product @ h @ a @ d)),
% 5.98/1.48 inference('cnf', [status(esa)], [ha_equals_d])).
% 5.98/1.48 thf(zip_derived_cl18, plain, ( (product @ a @ b @ c)),
% 5.98/1.48 inference('cnf', [status(esa)], [ab_equals_c])).
% 5.98/1.48 thf(category_theory_axiom4, axiom,
% 5.98/1.48 (( ~( product @ Y @ Z @ Yz ) ) | ( ~( product @ X @ Y @ Xy ) ) |
% 5.98/1.48 ( ~( defined @ X @ Yz ) ) | ( defined @ Xy @ Z ))).
% 5.98/1.48 thf(zip_derived_cl6, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.98/1.48 (~ (product @ X0 @ X1 @ X2)
% 5.98/1.48 | ~ (product @ X3 @ X0 @ X4)
% 5.98/1.48 | ~ (defined @ X3 @ X2)
% 5.98/1.48 | (defined @ X4 @ X1))),
% 5.98/1.48 inference('cnf', [status(esa)], [category_theory_axiom4])).
% 5.98/1.48 thf(zip_derived_cl212, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 ( (defined @ X0 @ b)
% 5.98/1.48 | ~ (defined @ X1 @ c)
% 5.98/1.48 | ~ (product @ X1 @ a @ X0))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl6])).
% 5.98/1.48 thf(zip_derived_cl1503, plain, ((~ (defined @ h @ c) | (defined @ d @ b))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl212])).
% 5.98/1.48 thf(zip_derived_cl948, plain,
% 5.98/1.48 (![X0 : $i]: (~ (defined @ X0 @ (domain @ h)) | (defined @ X0 @ c))),
% 5.98/1.48 inference('demod', [status(thm)], [zip_derived_cl764, zip_derived_cl939])).
% 5.98/1.48 thf(zip_derived_cl11, plain, (![X0 : $i]: (defined @ X0 @ (domain @ X0))),
% 5.98/1.48 inference('cnf', [status(esa)], [mapping_from_x_to_its_domain])).
% 5.98/1.48 thf(zip_derived_cl1046, plain, ( (defined @ h @ c)),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl948, zip_derived_cl11])).
% 5.98/1.48 thf(zip_derived_cl1509, plain, ( (defined @ d @ b)),
% 5.98/1.48 inference('demod', [status(thm)],
% 5.98/1.48 [zip_derived_cl1503, zip_derived_cl1046])).
% 5.98/1.48 thf(zip_derived_cl2944, plain, ( (product @ h @ c @ (compose @ d @ b))),
% 5.98/1.48 inference('demod', [status(thm)],
% 5.98/1.48 [zip_derived_cl2943, zip_derived_cl1509])).
% 5.98/1.48 thf(zip_derived_cl254, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X1 @ X0 @ X2) | ((compose @ X1 @ X0) = (X2)))),
% 5.98/1.48 inference('clc', [status(thm)], [zip_derived_cl135, zip_derived_cl1])).
% 5.98/1.48 thf(zip_derived_cl6079, plain, (((compose @ h @ c) = (compose @ d @ b))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl2944, zip_derived_cl254])).
% 5.98/1.48 thf(zip_derived_cl6479, plain, (((compose @ h @ c) = (compose @ g @ c))),
% 5.98/1.48 inference('demod', [status(thm)],
% 5.98/1.48 [zip_derived_cl6475, zip_derived_cl6079])).
% 5.98/1.48 thf(zip_derived_cl0, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ X1) | (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 5.98/1.48 inference('cnf', [status(esa)], [closure_of_composition])).
% 5.98/1.48 thf(zip_derived_cl19, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.98/1.48 (~ (product @ X0 @ c @ X1) | ~ (product @ X2 @ c @ X1) | ((X0) = (X2)))),
% 5.98/1.48 inference('cnf', [status(esa)], [cancellation_for_product])).
% 5.98/1.48 thf(zip_derived_cl159, plain,
% 5.98/1.48 (![X0 : $i, X1 : $i]:
% 5.98/1.48 (~ (defined @ X0 @ c)
% 5.98/1.48 | ((X0) = (X1))
% 5.98/1.48 | ~ (product @ X1 @ c @ (compose @ X0 @ c)))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 5.98/1.48 thf(zip_derived_cl6552, plain,
% 5.98/1.48 (![X0 : $i]:
% 5.98/1.48 (~ (product @ X0 @ c @ (compose @ h @ c))
% 5.98/1.48 | ((g) = (X0))
% 5.98/1.48 | ~ (defined @ g @ c))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl6479, zip_derived_cl159])).
% 5.98/1.48 thf(zip_derived_cl1186, plain, ( (defined @ g @ c)),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl1147, zip_derived_cl948])).
% 5.98/1.48 thf(zip_derived_cl6571, plain,
% 5.98/1.48 (![X0 : $i]: (~ (product @ X0 @ c @ (compose @ h @ c)) | ((g) = (X0)))),
% 5.98/1.48 inference('demod', [status(thm)],
% 5.98/1.48 [zip_derived_cl6552, zip_derived_cl1186])).
% 5.98/1.48 thf(zip_derived_cl6574, plain, ((~ (defined @ h @ c) | ((g) = (h)))),
% 5.98/1.48 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6571])).
% 5.98/1.48 thf(zip_derived_cl1046, plain, ( (defined @ h @ c)),
% 5.98/1.48 inference('sup+', [status(thm)], [zip_derived_cl948, zip_derived_cl11])).
% 5.98/1.48 thf(zip_derived_cl6576, plain, (((g) = (h))),
% 5.98/1.48 inference('demod', [status(thm)],
% 5.98/1.48 [zip_derived_cl6574, zip_derived_cl1046])).
% 5.98/1.48 thf(prove_h_equals_g, conjecture, (( h ) = ( g ))).
% 5.98/1.48 thf(zf_stmt_0, negated_conjecture, (( h ) != ( g )),
% 5.98/1.48 inference('cnf.neg', [status(esa)], [prove_h_equals_g])).
% 5.98/1.48 thf(zip_derived_cl22, plain, (((h) != (g))),
% 5.98/1.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.98/1.48 thf(zip_derived_cl6577, plain, ($false),
% 5.98/1.48 inference('simplify_reflect-', [status(thm)],
% 5.98/1.48 [zip_derived_cl6576, zip_derived_cl22])).
% 5.98/1.48
% 5.98/1.48 % SZS output end Refutation
% 5.98/1.48
% 5.98/1.48
% 5.98/1.48 % Terminating...
% 6.33/1.59 % Runner terminated.
% 6.33/1.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------