%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT014-1 : 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.eDtiMmCqqB true
% Computer : n006.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 04:29:59 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.77s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT014-1 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eDtiMmCqqB true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 10:44:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.45/0.62 % Total configuration time : 435
% 0.45/0.62 % Estimated wc time : 1092
% 0.45/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.77 % Solved by fo/fo3_bce.sh.
% 0.54/0.77 % BCE start: 19
% 0.54/0.77 % BCE eliminated: 0
% 0.54/0.77 % PE start: 19
% 0.54/0.77 logic: eq
% 0.54/0.77 % PE eliminated: -1
% 0.54/0.77 % done 23 iterations in 0.021s
% 0.54/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.77 % SZS output start Refutation
% 0.54/0.77 thf(codomain_type, type, codomain: $i > $i).
% 0.54/0.77 thf(identity_map_type, type, identity_map: $i > $o).
% 0.54/0.77 thf(defined_type, type, defined: $i > $i > $o).
% 0.54/0.77 thf(product_type, type, product: $i > $i > $i > $o).
% 0.54/0.77 thf(a_type, type, a: $i).
% 0.54/0.77 thf(prove_codomain_is_idempotent, conjecture,
% 0.54/0.77 (( codomain @ ( codomain @ a ) ) = ( codomain @ a ))).
% 0.54/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.77 (( codomain @ ( codomain @ a ) ) != ( codomain @ a )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [prove_codomain_is_idempotent])).
% 0.54/0.77 thf(zip_derived_cl18, plain,
% 0.54/0.77 (((codomain @ (codomain @ a)) != (codomain @ a))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.77 thf(product_on_codomain, axiom, (product @ ( codomain @ X ) @ X @ X)).
% 0.54/0.77 thf(zip_derived_cl14, plain,
% 0.54/0.77 (![X0 : $i]: (product @ (codomain @ X0) @ X0 @ X0)),
% 0.54/0.77 inference('cnf', [status(esa)], [product_on_codomain])).
% 0.54/0.77 thf(composition_is_well_defined, axiom,
% 0.54/0.77 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.54/0.77 ( ( Z ) = ( W ) ))).
% 0.54/0.77 thf(zip_derived_cl17, plain,
% 0.54/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.77 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.77 | ~ (product @ X0 @ X1 @ X3)
% 0.54/0.77 | ((X2) = (X3)))),
% 0.54/0.77 inference('cnf', [status(esa)], [composition_is_well_defined])).
% 0.54/0.77 thf(zip_derived_cl118, plain,
% 0.54/0.77 (![X0 : $i, X1 : $i]:
% 0.54/0.77 (((X0) = (X1)) | ~ (product @ (codomain @ X0) @ X0 @ X1))),
% 0.54/0.77 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl17])).
% 0.54/0.77 thf(codomain_is_an_identity_map, axiom, (identity_map @ ( codomain @ X ))).
% 0.54/0.77 thf(zip_derived_cl10, plain, (![X0 : $i]: (identity_map @ (codomain @ X0))),
% 0.54/0.77 inference('cnf', [status(esa)], [codomain_is_an_identity_map])).
% 0.54/0.77 thf(identity2, axiom,
% 0.54/0.77 (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ Y ) ) |
% 0.54/0.77 ( product @ X @ Y @ X ))).
% 0.54/0.77 thf(zip_derived_cl16, plain,
% 0.54/0.77 (![X0 : $i, X1 : $i]:
% 0.54/0.77 (~ (defined @ X0 @ X1)
% 0.54/0.77 | ~ (identity_map @ X1)
% 0.54/0.77 | (product @ X0 @ X1 @ X0))),
% 0.54/0.77 inference('cnf', [status(esa)], [identity2])).
% 0.54/0.77 thf(zip_derived_cl112, plain,
% 0.54/0.77 (![X0 : $i, X1 : $i]:
% 0.54/0.77 ( (product @ X1 @ (codomain @ X0) @ X1)
% 0.54/0.77 | ~ (defined @ X1 @ (codomain @ X0)))),
% 0.54/0.77 inference('dp-resolution', [status(thm)],
% 0.54/0.77 [zip_derived_cl10, zip_derived_cl16])).
% 0.54/0.77 thf(zip_derived_cl178, plain,
% 0.54/0.77 (![X0 : $i]:
% 0.54/0.77 (((codomain @ X0) = (codomain @ (codomain @ X0)))
% 0.54/0.77 | ~ (defined @ (codomain @ (codomain @ X0)) @ (codomain @ X0)))),
% 0.54/0.77 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl112])).
% 0.54/0.77 thf(mapping_from_codomain_of_x_to_x, axiom, (defined @ ( codomain @ X ) @ X)).
% 0.54/0.77 thf(zip_derived_cl12, plain, (![X0 : $i]: (defined @ (codomain @ X0) @ X0)),
% 0.54/0.77 inference('cnf', [status(esa)], [mapping_from_codomain_of_x_to_x])).
% 0.54/0.77 thf(zip_derived_cl179, plain,
% 0.54/0.77 (![X0 : $i]: ((codomain @ X0) = (codomain @ (codomain @ X0)))),
% 0.54/0.77 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl12])).
% 0.54/0.77 thf(zip_derived_cl181, plain, (((codomain @ a) != (codomain @ a))),
% 0.54/0.77 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl179])).
% 0.54/0.77 thf(zip_derived_cl182, plain, ($false),
% 0.54/0.77 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 0.54/0.77
% 0.54/0.77 % SZS output end Refutation
% 0.54/0.77
% 0.54/0.77
% 0.54/0.77 % Terminating...
% 0.59/0.83 % Runner terminated.
% 0.59/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------