%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT009-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aQzzMnORPY 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 : Thu Oct 2 04:29:57 PM UTC 2025
% Result : Unsatisfiable 1.24s 1.01s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : CAT009-1 : TPTP v9.2.0. Released v1.0.0.
% 0.09/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aQzzMnORPY true
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 10:46:08 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.59 % Total configuration time : 435
% 0.17/0.59 % Estimated wc time : 1092
% 0.17/0.59 % Estimated cpu time (7 cpus) : 156.0
% 1.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/1.01 % Solved by fo/fo6_bce.sh.
% 1.24/1.01 % BCE start: 20
% 1.24/1.01 % BCE eliminated: 0
% 1.24/1.01 % PE start: 20
% 1.24/1.01 logic: eq
% 1.24/1.01 % PE eliminated: 0
% 1.24/1.01 % done 343 iterations in 0.286s
% 1.24/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/1.01 % SZS output start Refutation
% 1.24/1.01 thf(a_type, type, a: $i).
% 1.24/1.01 thf(compose_type, type, compose: $i > $i > $i).
% 1.24/1.01 thf(domain_type, type, domain: $i > $i).
% 1.24/1.01 thf(identity_map_type, type, identity_map: $i > $o).
% 1.24/1.01 thf(defined_type, type, defined: $i > $i > $o).
% 1.24/1.01 thf(product_type, type, product: $i > $i > $i > $o).
% 1.24/1.01 thf(b_type, type, b: $i).
% 1.24/1.01 thf(mapping_from_x_to_its_domain, axiom, (defined @ X @ ( domain @ X ))).
% 1.24/1.01 thf(zip_derived_cl11, plain, (![X0 : $i]: (defined @ X0 @ (domain @ X0))),
% 1.24/1.01 inference('cnf', [status(esa)], [mapping_from_x_to_its_domain])).
% 1.24/1.01 thf(closure_of_composition, axiom,
% 1.24/1.01 (( ~( defined @ X @ Y ) ) | ( product @ X @ Y @ ( compose @ X @ Y ) ))).
% 1.24/1.01 thf(zip_derived_cl0, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X0 @ X1) | (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 1.24/1.01 inference('cnf', [status(esa)], [closure_of_composition])).
% 1.24/1.01 thf(associative_property2, axiom,
% 1.24/1.01 (( ~( product @ X @ Y @ Xy ) ) | ( ~( defined @ Xy @ Z ) ) |
% 1.24/1.01 ( defined @ Y @ Z ))).
% 1.24/1.01 thf(zip_derived_cl2, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.01 (~ (product @ X0 @ X1 @ X2)
% 1.24/1.01 | ~ (defined @ X2 @ X3)
% 1.24/1.01 | (defined @ X1 @ X3))),
% 1.24/1.01 inference('cnf', [status(esa)], [associative_property2])).
% 1.24/1.01 thf(zip_derived_cl119, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.01 (~ (defined @ X1 @ X0)
% 1.24/1.01 | ~ (defined @ (compose @ X1 @ X0) @ X2)
% 1.24/1.01 | (defined @ X0 @ X2))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.24/1.01 thf(zip_derived_cl201, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X1 @ X0)
% 1.24/1.01 | (defined @ X0 @ (domain @ (compose @ X1 @ X0))))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl119])).
% 1.24/1.01 thf(product_on_domain, axiom, (product @ X @ ( domain @ X ) @ X)).
% 1.24/1.01 thf(zip_derived_cl13, plain,
% 1.24/1.01 (![X0 : $i]: (product @ X0 @ (domain @ X0) @ X0)),
% 1.24/1.01 inference('cnf', [status(esa)], [product_on_domain])).
% 1.24/1.01 thf(zip_derived_cl2, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.01 (~ (product @ X0 @ X1 @ X2)
% 1.24/1.01 | ~ (defined @ X2 @ X3)
% 1.24/1.01 | (defined @ X1 @ X3))),
% 1.24/1.01 inference('cnf', [status(esa)], [associative_property2])).
% 1.24/1.01 thf(zip_derived_cl120, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X0 @ X1) | (defined @ (domain @ X0) @ X1))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 1.24/1.01 thf(identity2, axiom,
% 1.24/1.01 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ Y ) ) |
% 1.24/1.01 ( product @ X @ Y @ X ))).
% 1.24/1.01 thf(zip_derived_cl16, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X0 @ X1)
% 1.24/1.01 | ~ (identity_map @ X1)
% 1.24/1.01 | (product @ X0 @ X1 @ X0))),
% 1.24/1.01 inference('cnf', [status(esa)], [identity2])).
% 1.24/1.01 thf(zip_derived_cl156, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X1 @ X0)
% 1.24/1.01 | ~ (identity_map @ X0)
% 1.24/1.01 | (product @ (domain @ X1) @ X0 @ (domain @ X1)))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl16])).
% 1.24/1.01 thf(zip_derived_cl120, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X0 @ X1) | (defined @ (domain @ X0) @ X1))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 1.24/1.01 thf(identity1, axiom,
% 1.24/1.01 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ X ) ) |
% 1.24/1.01 ( product @ X @ Y @ Y ))).
% 1.24/1.01 thf(zip_derived_cl15, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X0 @ X1)
% 1.24/1.01 | ~ (identity_map @ X0)
% 1.24/1.01 | (product @ X0 @ X1 @ X1))),
% 1.24/1.01 inference('cnf', [status(esa)], [identity1])).
% 1.24/1.01 thf(zip_derived_cl136, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X1 @ X0)
% 1.24/1.01 | ~ (identity_map @ (domain @ X1))
% 1.24/1.01 | (product @ (domain @ X1) @ X0 @ X0))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl15])).
% 1.24/1.01 thf(domain_is_an_identity_map, axiom, (identity_map @ ( domain @ X ))).
% 1.24/1.01 thf(zip_derived_cl9, plain, (![X0 : $i]: (identity_map @ (domain @ X0))),
% 1.24/1.01 inference('cnf', [status(esa)], [domain_is_an_identity_map])).
% 1.24/1.01 thf(zip_derived_cl139, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X1 @ X0) | (product @ (domain @ X1) @ X0 @ X0))),
% 1.24/1.01 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl9])).
% 1.24/1.01 thf(composition_is_well_defined, axiom,
% 1.24/1.01 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 1.24/1.01 ( ( Z ) = ( W ) ))).
% 1.24/1.01 thf(zip_derived_cl17, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.01 (~ (product @ X0 @ X1 @ X2)
% 1.24/1.01 | ~ (product @ X0 @ X1 @ X3)
% 1.24/1.01 | ((X2) = (X3)))),
% 1.24/1.01 inference('cnf', [status(esa)], [composition_is_well_defined])).
% 1.24/1.01 thf(zip_derived_cl306, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.01 (~ (defined @ X1 @ X0)
% 1.24/1.01 | ~ (product @ (domain @ X1) @ X0 @ X2)
% 1.24/1.01 | ((X0) = (X2)))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl17])).
% 1.24/1.01 thf(zip_derived_cl1411, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (identity_map @ X1)
% 1.24/1.01 | ~ (defined @ X0 @ X1)
% 1.24/1.01 | ~ (defined @ X0 @ X1)
% 1.24/1.01 | ((X1) = (domain @ X0)))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl306])).
% 1.24/1.01 thf(zip_derived_cl1420, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (((X1) = (domain @ X0))
% 1.24/1.01 | ~ (defined @ X0 @ X1)
% 1.24/1.01 | ~ (identity_map @ X1))),
% 1.24/1.01 inference('simplify', [status(thm)], [zip_derived_cl1411])).
% 1.24/1.01 thf(zip_derived_cl1425, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X1 @ X0)
% 1.24/1.01 | ((domain @ (compose @ X1 @ X0)) = (domain @ X0))
% 1.24/1.01 | ~ (identity_map @ (domain @ (compose @ X1 @ X0))))),
% 1.24/1.01 inference('s_sup-', [status(thm)],
% 1.24/1.01 [zip_derived_cl201, zip_derived_cl1420])).
% 1.24/1.01 thf(zip_derived_cl9, plain, (![X0 : $i]: (identity_map @ (domain @ X0))),
% 1.24/1.01 inference('cnf', [status(esa)], [domain_is_an_identity_map])).
% 1.24/1.01 thf(zip_derived_cl1443, plain,
% 1.24/1.01 (![X0 : $i, X1 : $i]:
% 1.24/1.01 (~ (defined @ X1 @ X0)
% 1.24/1.01 | ((domain @ (compose @ X1 @ X0)) = (domain @ X0)))),
% 1.24/1.01 inference('demod', [status(thm)], [zip_derived_cl1425, zip_derived_cl9])).
% 1.24/1.01 thf(prove_domain_of_ba_equals_domain_of_a, conjecture,
% 1.24/1.01 (( domain @ ( compose @ b @ a ) ) = ( domain @ a ))).
% 1.24/1.01 thf(zf_stmt_0, negated_conjecture,
% 1.24/1.01 (( domain @ ( compose @ b @ a ) ) != ( domain @ a )),
% 1.24/1.01 inference('cnf.neg', [status(esa)], [prove_domain_of_ba_equals_domain_of_a])).
% 1.24/1.01 thf(zip_derived_cl19, plain,
% 1.24/1.01 (((domain @ (compose @ b @ a)) != (domain @ a))),
% 1.24/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/1.01 thf(zip_derived_cl1931, plain,
% 1.24/1.01 ((~ (defined @ b @ a) | ((domain @ a) != (domain @ a)))),
% 1.24/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl1443, zip_derived_cl19])).
% 1.24/1.01 thf(ba_defined, axiom, (defined @ b @ a)).
% 1.24/1.01 thf(zip_derived_cl18, plain, ( (defined @ b @ a)),
% 1.24/1.01 inference('cnf', [status(esa)], [ba_defined])).
% 1.24/1.01 thf(zip_derived_cl1952, plain, (((domain @ a) != (domain @ a))),
% 1.24/1.01 inference('demod', [status(thm)], [zip_derived_cl1931, zip_derived_cl18])).
% 1.24/1.01 thf(zip_derived_cl1953, plain, ($false),
% 1.24/1.01 inference('simplify', [status(thm)], [zip_derived_cl1952])).
% 1.24/1.01
% 1.24/1.01 % SZS output end Refutation
% 1.24/1.01
% 1.24/1.01
% 1.24/1.01 % Terminating...
% 1.67/1.12 % Runner terminated.
% 1.67/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------