TSTP Solution File: CAT018-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT018-1 : 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.DWFs7iD9vl true
% Computer : n024.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 18:21:01 EDT 2023
% Result : Unsatisfiable 0.67s 0.97s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DWFs7iD9vl true
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 00:10:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.49/0.68 % Total configuration time : 435
% 0.49/0.68 % Estimated wc time : 1092
% 0.49/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.65/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.65/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.65/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.65/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.65/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.65/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.65/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.67/0.97 % Solved by fo/fo5.sh.
% 0.67/0.97 % done 245 iterations in 0.086s
% 0.67/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.67/0.97 % SZS output start Refutation
% 0.67/0.97 thf(b_type, type, b: $i).
% 0.67/0.97 thf(compose_type, type, compose: $i > $i > $i).
% 0.67/0.97 thf(c_type, type, c: $i).
% 0.67/0.97 thf(codomain_type, type, codomain: $i > $i).
% 0.67/0.97 thf(identity_map_type, type, identity_map: $i > $o).
% 0.67/0.97 thf(defined_type, type, defined: $i > $i > $o).
% 0.67/0.97 thf(product_type, type, product: $i > $i > $i > $o).
% 0.67/0.97 thf(a_type, type, a: $i).
% 0.67/0.97 thf(prove_a_bc_exists, conjecture, (defined @ a @ ( compose @ b @ c ))).
% 0.67/0.97 thf(zf_stmt_0, negated_conjecture, (~( defined @ a @ ( compose @ b @ c ) )),
% 0.67/0.97 inference('cnf.neg', [status(esa)], [prove_a_bc_exists])).
% 0.67/0.97 thf(zip_derived_cl20, plain, (~ (defined @ a @ (compose @ b @ c))),
% 0.67/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.97 thf(assume_bc_exists, axiom, (defined @ b @ c)).
% 0.67/0.97 thf(zip_derived_cl19, plain, ( (defined @ b @ c)),
% 0.67/0.97 inference('cnf', [status(esa)], [assume_bc_exists])).
% 0.67/0.97 thf(closure_of_composition, axiom,
% 0.67/0.97 (( ~( defined @ X @ Y ) ) | ( product @ X @ Y @ ( compose @ X @ Y ) ))).
% 0.67/0.97 thf(zip_derived_cl0, plain,
% 0.67/0.97 (![X0 : $i, X1 : $i]:
% 0.67/0.97 (~ (defined @ X0 @ X1) | (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 0.67/0.97 inference('cnf', [status(esa)], [closure_of_composition])).
% 0.67/0.97 thf(zip_derived_cl24, plain, ( (product @ b @ c @ (compose @ b @ c))),
% 0.67/0.97 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 0.67/0.97 thf(product_on_codomain, axiom, (product @ ( codomain @ X ) @ X @ X)).
% 0.67/0.97 thf(zip_derived_cl14, plain,
% 0.67/0.97 (![X0 : $i]: (product @ (codomain @ X0) @ X0 @ X0)),
% 0.67/0.97 inference('cnf', [status(esa)], [product_on_codomain])).
% 0.67/0.97 thf(category_theory_axiom1, axiom,
% 0.67/0.97 (( ~( product @ X @ Y @ Xy ) ) | ( ~( product @ Y @ Z @ Yz ) ) |
% 0.67/0.97 ( ~( defined @ Xy @ Z ) ) | ( defined @ X @ Yz ))).
% 0.67/0.97 thf(zip_derived_cl3, plain,
% 0.67/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.67/0.97 (~ (product @ X0 @ X1 @ X2)
% 0.67/0.97 | ~ (product @ X1 @ X3 @ X4)
% 0.67/0.97 | ~ (defined @ X2 @ X3)
% 0.67/0.97 | (defined @ X0 @ X4))),
% 0.67/0.97 inference('cnf', [status(esa)], [category_theory_axiom1])).
% 0.67/0.97 thf(zip_derived_cl65, plain,
% 0.67/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.97 ( (defined @ (codomain @ X0) @ X1)
% 0.67/0.97 | ~ (defined @ X0 @ X2)
% 0.67/0.97 | ~ (product @ X0 @ X2 @ X1))),
% 0.67/0.97 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 0.67/0.97 thf(associative_property1, axiom,
% 0.67/0.97 (( ~( product @ X @ Y @ Z ) ) | ( defined @ X @ Y ))).
% 0.67/0.97 thf(zip_derived_cl1, plain,
% 0.67/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.97 (~ (product @ X0 @ X1 @ X2) | (defined @ X0 @ X1))),
% 0.67/0.97 inference('cnf', [status(esa)], [associative_property1])).
% 0.67/0.97 thf(zip_derived_cl751, plain,
% 0.67/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.97 (~ (product @ X0 @ X2 @ X1) | (defined @ (codomain @ X0) @ X1))),
% 0.67/0.97 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl1])).
% 0.67/0.97 thf(zip_derived_cl763, plain,
% 0.67/0.97 ( (defined @ (codomain @ b) @ (compose @ b @ c))),
% 0.67/0.97 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl751])).
% 0.67/0.97 thf(assume_ab_exists, axiom, (defined @ a @ b)).
% 0.67/0.97 thf(zip_derived_cl18, plain, ( (defined @ a @ b)),
% 0.67/0.97 inference('cnf', [status(esa)], [assume_ab_exists])).
% 0.67/0.97 thf(zip_derived_cl14, plain,
% 0.67/0.97 (![X0 : $i]: (product @ (codomain @ X0) @ X0 @ X0)),
% 0.67/0.97 inference('cnf', [status(esa)], [product_on_codomain])).
% 0.67/0.97 thf(category_theory_axiom3, axiom,
% 0.67/0.97 (( ~( product @ Y @ Z @ Yz ) ) | ( ~( defined @ X @ Yz ) ) |
% 0.67/0.97 ( defined @ X @ Y ))).
% 0.67/0.97 thf(zip_derived_cl5, plain,
% 0.67/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.67/0.97 (~ (product @ X0 @ X1 @ X2)
% 0.67/0.97 | ~ (defined @ X3 @ X2)
% 0.67/0.97 | (defined @ X3 @ X0))),
% 0.67/0.97 inference('cnf', [status(esa)], [category_theory_axiom3])).
% 0.67/0.97 thf(zip_derived_cl54, plain,
% 0.67/0.97 (![X0 : $i, X1 : $i]:
% 0.67/0.97 ( (defined @ X1 @ (codomain @ X0)) | ~ (defined @ X1 @ X0))),
% 0.67/0.97 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl5])).
% 0.67/0.97 thf(zip_derived_cl271, plain, ( (defined @ a @ (codomain @ b))),
% 0.67/0.97 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl54])).
% 0.67/0.97 thf(category_theory_axiom6, axiom,
% 0.67/0.97 (( ~( defined @ X @ Y ) ) | ( ~( defined @ Y @ Z ) ) |
% 0.67/0.97 ( ~( identity_map @ Y ) ) | ( defined @ X @ Z ))).
% 0.67/0.97 thf(zip_derived_cl8, plain,
% 0.67/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.97 (~ (defined @ X0 @ X1)
% 0.67/0.97 | ~ (defined @ X1 @ X2)
% 0.67/0.97 | ~ (identity_map @ X1)
% 0.67/0.97 | (defined @ X0 @ X2))),
% 0.67/0.97 inference('cnf', [status(esa)], [category_theory_axiom6])).
% 0.67/0.97 thf(zip_derived_cl276, plain,
% 0.67/0.97 (![X0 : $i]:
% 0.67/0.97 ( (defined @ a @ X0)
% 0.67/0.97 | ~ (identity_map @ (codomain @ b))
% 0.67/0.97 | ~ (defined @ (codomain @ b) @ X0))),
% 0.67/0.97 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl8])).
% 0.67/0.97 thf(codomain_is_an_identity_map, axiom, (identity_map @ ( codomain @ X ))).
% 0.67/0.97 thf(zip_derived_cl10, plain, (![X0 : $i]: (identity_map @ (codomain @ X0))),
% 0.67/0.97 inference('cnf', [status(esa)], [codomain_is_an_identity_map])).
% 0.67/0.97 thf(zip_derived_cl281, plain,
% 0.67/0.97 (![X0 : $i]: ( (defined @ a @ X0) | ~ (defined @ (codomain @ b) @ X0))),
% 0.67/0.97 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl10])).
% 0.67/0.97 thf(zip_derived_cl792, plain, ( (defined @ a @ (compose @ b @ c))),
% 0.67/0.97 inference('sup-', [status(thm)], [zip_derived_cl763, zip_derived_cl281])).
% 0.67/0.97 thf(zip_derived_cl803, plain, ($false),
% 0.67/0.97 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl792])).
% 0.67/0.97
% 0.67/0.97 % SZS output end Refutation
% 0.67/0.97
% 0.67/0.97
% 0.67/0.97 % Terminating...
% 0.68/1.08 % Runner terminated.
% 0.68/1.09 % Zipperpin 1.5 exiting
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