TSTP Solution File: CAT006-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vlWoVPIMXf 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 18:20:54 EDT 2023
% Result : Unsatisfiable 0.21s 0.76s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vlWoVPIMXf true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 00:20:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % Solved by fo/fo6_bce.sh.
% 0.21/0.76 % BCE start: 21
% 0.21/0.76 % BCE eliminated: 0
% 0.21/0.76 % PE start: 21
% 0.21/0.76 logic: eq
% 0.21/0.76 % PE eliminated: 0
% 0.21/0.76 % done 52 iterations in 0.029s
% 0.21/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76 % SZS output start Refutation
% 0.21/0.76 thf(a_type, type, a: $i).
% 0.21/0.76 thf(compose_type, type, compose: $i > $i > $i).
% 0.21/0.76 thf(codomain_type, type, codomain: $i > $i).
% 0.21/0.76 thf(identity_map_type, type, identity_map: $i > $o).
% 0.21/0.76 thf(defined_type, type, defined: $i > $i > $o).
% 0.21/0.76 thf(product_type, type, product: $i > $i > $i > $o).
% 0.21/0.76 thf(h_type, type, h: $i).
% 0.21/0.76 thf(mapping_from_codomain_of_x_to_x, axiom, (defined @ ( codomain @ X ) @ X)).
% 0.21/0.76 thf(zip_derived_cl12, plain, (![X0 : $i]: (defined @ (codomain @ X0) @ X0)),
% 0.21/0.76 inference('cnf', [status(esa)], [mapping_from_codomain_of_x_to_x])).
% 0.21/0.76 thf(ha_defined, axiom, (defined @ h @ a)).
% 0.21/0.76 thf(zip_derived_cl18, plain, ( (defined @ h @ a)),
% 0.21/0.76 inference('cnf', [status(esa)], [ha_defined])).
% 0.21/0.76 thf(identity1, axiom,
% 0.21/0.76 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ X ) ) |
% 0.21/0.76 ( product @ X @ Y @ Y ))).
% 0.21/0.76 thf(zip_derived_cl15, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i]:
% 0.21/0.76 (~ (defined @ X0 @ X1)
% 0.21/0.76 | ~ (identity_map @ X0)
% 0.21/0.76 | (product @ X0 @ X1 @ X1))),
% 0.21/0.76 inference('cnf', [status(esa)], [identity1])).
% 0.21/0.76 thf(zip_derived_cl143, plain,
% 0.21/0.76 ((~ (identity_map @ h) | (product @ h @ a @ a))),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl15])).
% 0.21/0.76 thf(h_is_the_identity_map, axiom, (identity_map @ h)).
% 0.21/0.76 thf(zip_derived_cl19, plain, ( (identity_map @ h)),
% 0.21/0.76 inference('cnf', [status(esa)], [h_is_the_identity_map])).
% 0.21/0.76 thf(zip_derived_cl145, plain, ( (product @ h @ a @ a)),
% 0.21/0.76 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl19])).
% 0.21/0.76 thf(category_theory_axiom3, axiom,
% 0.21/0.76 (( ~( product @ Y @ Z @ Yz ) ) | ( ~( defined @ X @ Yz ) ) |
% 0.21/0.76 ( defined @ X @ Y ))).
% 0.21/0.76 thf(zip_derived_cl5, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.76 (~ (product @ X0 @ X1 @ X2)
% 0.21/0.76 | ~ (defined @ X3 @ X2)
% 0.21/0.76 | (defined @ X3 @ X0))),
% 0.21/0.76 inference('cnf', [status(esa)], [category_theory_axiom3])).
% 0.21/0.76 thf(zip_derived_cl165, plain,
% 0.21/0.76 (![X0 : $i]: (~ (defined @ X0 @ a) | (defined @ X0 @ h))),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl5])).
% 0.21/0.76 thf(zip_derived_cl175, plain, ( (defined @ (codomain @ a) @ h)),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl165])).
% 0.21/0.76 thf(identity2, axiom,
% 0.21/0.76 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ Y ) ) |
% 0.21/0.76 ( product @ X @ Y @ X ))).
% 0.21/0.76 thf(zip_derived_cl16, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i]:
% 0.21/0.76 (~ (defined @ X0 @ X1)
% 0.21/0.76 | ~ (identity_map @ X1)
% 0.21/0.76 | (product @ X0 @ X1 @ X0))),
% 0.21/0.76 inference('cnf', [status(esa)], [identity2])).
% 0.21/0.76 thf(zip_derived_cl182, plain,
% 0.21/0.76 ((~ (identity_map @ h) | (product @ (codomain @ a) @ h @ (codomain @ a)))),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl16])).
% 0.21/0.76 thf(zip_derived_cl19, plain, ( (identity_map @ h)),
% 0.21/0.76 inference('cnf', [status(esa)], [h_is_the_identity_map])).
% 0.21/0.76 thf(zip_derived_cl184, plain,
% 0.21/0.76 ( (product @ (codomain @ a) @ h @ (codomain @ a))),
% 0.21/0.76 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl19])).
% 0.21/0.76 thf(closure_of_composition, axiom,
% 0.21/0.76 (( ~( defined @ X @ Y ) ) | ( product @ X @ Y @ ( compose @ X @ Y ) ))).
% 0.21/0.76 thf(zip_derived_cl0, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i]:
% 0.21/0.76 (~ (defined @ X0 @ X1) | (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 0.21/0.76 inference('cnf', [status(esa)], [closure_of_composition])).
% 0.21/0.76 thf(composition_is_well_defined, axiom,
% 0.21/0.76 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.21/0.76 ( ( Z ) = ( W ) ))).
% 0.21/0.76 thf(zip_derived_cl17, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.76 (~ (product @ X0 @ X1 @ X2)
% 0.21/0.76 | ~ (product @ X0 @ X1 @ X3)
% 0.21/0.76 | ((X2) = (X3)))),
% 0.21/0.76 inference('cnf', [status(esa)], [composition_is_well_defined])).
% 0.21/0.76 thf(zip_derived_cl128, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.76 (~ (defined @ X1 @ X0)
% 0.21/0.76 | ~ (product @ X1 @ X0 @ X2)
% 0.21/0.76 | ((compose @ X1 @ X0) = (X2)))),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl17])).
% 0.21/0.76 thf(associative_property1, axiom,
% 0.21/0.76 (( ~( product @ X @ Y @ Z ) ) | ( defined @ X @ Y ))).
% 0.21/0.76 thf(zip_derived_cl1, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.76 (~ (product @ X0 @ X1 @ X2) | (defined @ X0 @ X1))),
% 0.21/0.76 inference('cnf', [status(esa)], [associative_property1])).
% 0.21/0.76 thf(zip_derived_cl239, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.76 (((compose @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 0.21/0.76 inference('clc', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 0.21/0.76 thf(zip_derived_cl243, plain,
% 0.21/0.76 (((compose @ (codomain @ a) @ h) = (codomain @ a))),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl239])).
% 0.21/0.76 thf(zip_derived_cl175, plain, ( (defined @ (codomain @ a) @ h)),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl165])).
% 0.21/0.76 thf(zip_derived_cl15, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i]:
% 0.21/0.76 (~ (defined @ X0 @ X1)
% 0.21/0.76 | ~ (identity_map @ X0)
% 0.21/0.76 | (product @ X0 @ X1 @ X1))),
% 0.21/0.76 inference('cnf', [status(esa)], [identity1])).
% 0.21/0.76 thf(zip_derived_cl181, plain,
% 0.21/0.76 ((~ (identity_map @ (codomain @ a)) | (product @ (codomain @ a) @ h @ h))),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl15])).
% 0.21/0.76 thf(codomain_is_an_identity_map, axiom, (identity_map @ ( codomain @ X ))).
% 0.21/0.76 thf(zip_derived_cl10, plain, (![X0 : $i]: (identity_map @ (codomain @ X0))),
% 0.21/0.76 inference('cnf', [status(esa)], [codomain_is_an_identity_map])).
% 0.21/0.76 thf(zip_derived_cl183, plain, ( (product @ (codomain @ a) @ h @ h)),
% 0.21/0.76 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl10])).
% 0.21/0.76 thf(zip_derived_cl239, plain,
% 0.21/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.76 (((compose @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 0.21/0.76 inference('clc', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 0.21/0.76 thf(zip_derived_cl244, plain, (((compose @ (codomain @ a) @ h) = (h))),
% 0.21/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl239])).
% 0.21/0.76 thf(zip_derived_cl255, plain, (((h) = (codomain @ a))),
% 0.21/0.76 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl244])).
% 0.21/0.76 thf(prove_codomain_of_a_is_h, conjecture, (( codomain @ a ) = ( h ))).
% 0.21/0.76 thf(zf_stmt_0, negated_conjecture, (( codomain @ a ) != ( h )),
% 0.21/0.76 inference('cnf.neg', [status(esa)], [prove_codomain_of_a_is_h])).
% 0.21/0.76 thf(zip_derived_cl20, plain, (((codomain @ a) != (h))),
% 0.21/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.76 thf(zip_derived_cl256, plain, ($false),
% 0.21/0.76 inference('simplify_reflect-', [status(thm)],
% 0.21/0.76 [zip_derived_cl255, zip_derived_cl20])).
% 0.21/0.76
% 0.21/0.76 % SZS output end Refutation
% 0.21/0.76
% 0.21/0.76
% 0.21/0.76 % Terminating...
% 1.57/0.85 % Runner terminated.
% 1.57/0.86 % Zipperpin 1.5 exiting
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