TSTP Solution File: CAT005-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT005-1 : 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.zsglGdPyJ4 true
% Computer : n022.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 18:20:53 EDT 2023
% Result : Unsatisfiable 1.43s 0.82s
% Output : Refutation 1.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zsglGdPyJ4 true
% 0.13/0.35 % Computer : n022.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 00:06:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.43/0.82 % Solved by fo/fo5.sh.
% 1.43/0.82 % done 56 iterations in 0.024s
% 1.43/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.43/0.82 % SZS output start Refutation
% 1.43/0.82 thf(d_type, type, d: $i).
% 1.43/0.82 thf(domain_type, type, domain: $i > $i).
% 1.43/0.82 thf(identity_map_type, type, identity_map: $i > $o).
% 1.43/0.82 thf(defined_type, type, defined: $i > $i > $o).
% 1.43/0.82 thf(product_type, type, product: $i > $i > $i > $o).
% 1.43/0.82 thf(a_type, type, a: $i).
% 1.43/0.82 thf(mapping_from_x_to_its_domain, axiom, (defined @ X @ ( domain @ X ))).
% 1.43/0.82 thf(zip_derived_cl11, plain, (![X0 : $i]: (defined @ X0 @ (domain @ X0))),
% 1.43/0.82 inference('cnf', [status(esa)], [mapping_from_x_to_its_domain])).
% 1.43/0.82 thf(ad_defined, axiom, (defined @ a @ d)).
% 1.43/0.82 thf(zip_derived_cl18, plain, ( (defined @ a @ d)),
% 1.43/0.82 inference('cnf', [status(esa)], [ad_defined])).
% 1.43/0.82 thf(identity2, axiom,
% 1.43/0.82 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ Y ) ) |
% 1.43/0.82 ( product @ X @ Y @ X ))).
% 1.43/0.82 thf(zip_derived_cl16, plain,
% 1.43/0.82 (![X0 : $i, X1 : $i]:
% 1.43/0.82 (~ (defined @ X0 @ X1)
% 1.43/0.82 | ~ (identity_map @ X1)
% 1.43/0.82 | (product @ X0 @ X1 @ X0))),
% 1.43/0.82 inference('cnf', [status(esa)], [identity2])).
% 1.43/0.82 thf(zip_derived_cl35, plain,
% 1.43/0.82 (( (product @ a @ d @ a) | ~ (identity_map @ d))),
% 1.43/0.82 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl16])).
% 1.43/0.82 thf(d_is_identity_map, axiom, (identity_map @ d)).
% 1.43/0.82 thf(zip_derived_cl19, plain, ( (identity_map @ d)),
% 1.43/0.82 inference('cnf', [status(esa)], [d_is_identity_map])).
% 1.43/0.82 thf(zip_derived_cl37, plain, ( (product @ a @ d @ a)),
% 1.43/0.82 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl19])).
% 1.43/0.82 thf(associative_property2, axiom,
% 1.43/0.82 (( ~( product @ X @ Y @ Xy ) ) | ( ~( defined @ Xy @ Z ) ) |
% 1.43/0.82 ( defined @ Y @ Z ))).
% 1.43/0.82 thf(zip_derived_cl2, plain,
% 1.43/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.43/0.82 (~ (product @ X0 @ X1 @ X2)
% 1.43/0.82 | ~ (defined @ X2 @ X3)
% 1.43/0.82 | (defined @ X1 @ X3))),
% 1.43/0.82 inference('cnf', [status(esa)], [associative_property2])).
% 1.43/0.82 thf(zip_derived_cl62, plain,
% 1.43/0.82 (![X0 : $i]: ( (defined @ d @ X0) | ~ (defined @ a @ X0))),
% 1.43/0.82 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl2])).
% 1.43/0.82 thf(zip_derived_cl112, plain, ( (defined @ d @ (domain @ a))),
% 1.43/0.82 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl62])).
% 1.43/0.82 thf(identity1, axiom,
% 1.43/0.82 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ X ) ) |
% 1.43/0.82 ( product @ X @ Y @ Y ))).
% 1.43/0.82 thf(zip_derived_cl15, plain,
% 1.43/0.82 (![X0 : $i, X1 : $i]:
% 1.43/0.82 (~ (defined @ X0 @ X1)
% 1.43/0.82 | ~ (identity_map @ X0)
% 1.43/0.82 | (product @ X0 @ X1 @ X1))),
% 1.43/0.82 inference('cnf', [status(esa)], [identity1])).
% 1.43/0.82 thf(zip_derived_cl125, plain,
% 1.43/0.82 (( (product @ d @ (domain @ a) @ (domain @ a)) | ~ (identity_map @ d))),
% 1.43/0.82 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl15])).
% 1.43/0.82 thf(zip_derived_cl19, plain, ( (identity_map @ d)),
% 1.43/0.82 inference('cnf', [status(esa)], [d_is_identity_map])).
% 1.43/0.82 thf(zip_derived_cl129, plain, ( (product @ d @ (domain @ a) @ (domain @ a))),
% 1.43/0.82 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl19])).
% 1.43/0.82 thf(zip_derived_cl112, plain, ( (defined @ d @ (domain @ a))),
% 1.43/0.82 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl62])).
% 1.43/0.82 thf(zip_derived_cl16, plain,
% 1.43/0.82 (![X0 : $i, X1 : $i]:
% 1.43/0.82 (~ (defined @ X0 @ X1)
% 1.43/0.82 | ~ (identity_map @ X1)
% 1.43/0.82 | (product @ X0 @ X1 @ X0))),
% 1.43/0.82 inference('cnf', [status(esa)], [identity2])).
% 1.43/0.82 thf(zip_derived_cl126, plain,
% 1.43/0.82 (( (product @ d @ (domain @ a) @ d) | ~ (identity_map @ (domain @ a)))),
% 1.43/0.82 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl16])).
% 1.43/0.82 thf(domain_is_an_identity_map, axiom, (identity_map @ ( domain @ X ))).
% 1.43/0.82 thf(zip_derived_cl9, plain, (![X0 : $i]: (identity_map @ (domain @ X0))),
% 1.43/0.82 inference('cnf', [status(esa)], [domain_is_an_identity_map])).
% 1.43/0.82 thf(zip_derived_cl130, plain, ( (product @ d @ (domain @ a) @ d)),
% 1.43/0.82 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl9])).
% 1.43/0.82 thf(composition_is_well_defined, axiom,
% 1.43/0.82 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 1.43/0.82 ( ( Z ) = ( W ) ))).
% 1.43/0.82 thf(zip_derived_cl17, plain,
% 1.43/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.43/0.82 (~ (product @ X0 @ X1 @ X2)
% 1.43/0.82 | ~ (product @ X0 @ X1 @ X3)
% 1.43/0.82 | ((X2) = (X3)))),
% 1.43/0.82 inference('cnf', [status(esa)], [composition_is_well_defined])).
% 1.43/0.82 thf(zip_derived_cl156, plain,
% 1.43/0.82 (![X0 : $i]: (((d) = (X0)) | ~ (product @ d @ (domain @ a) @ X0))),
% 1.43/0.82 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl17])).
% 1.43/0.82 thf(zip_derived_cl166, plain, (((d) = (domain @ a))),
% 1.43/0.82 inference('sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl156])).
% 1.43/0.82 thf(prove_domain_of_a_is_d, conjecture, (( domain @ a ) = ( d ))).
% 1.43/0.82 thf(zf_stmt_0, negated_conjecture, (( domain @ a ) != ( d )),
% 1.43/0.82 inference('cnf.neg', [status(esa)], [prove_domain_of_a_is_d])).
% 1.43/0.82 thf(zip_derived_cl20, plain, (((domain @ a) != (d))),
% 1.43/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.43/0.82 thf(zip_derived_cl167, plain, ($false),
% 1.43/0.82 inference('simplify_reflect-', [status(thm)],
% 1.43/0.82 [zip_derived_cl166, zip_derived_cl20])).
% 1.43/0.82
% 1.43/0.82 % SZS output end Refutation
% 1.43/0.82
% 1.43/0.82
% 1.43/0.82 % Terminating...
% 1.43/0.87 % Runner terminated.
% 1.81/0.88 % Zipperpin 1.5 exiting
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