%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT018-4 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X5z0tJYQEl true
% Computer : n009.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 04:30:01 PM UTC 2025
% Result : Unsatisfiable 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT018-4 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X5z0tJYQEl true
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 10:47:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.77 % Solved by fo/fo3_bce.sh.
% 0.55/0.77 % BCE start: 14
% 0.55/0.77 % BCE eliminated: 1
% 0.55/0.77 % PE start: 13
% 0.55/0.77 logic: eq
% 0.55/0.77 % PE eliminated: 2
% 0.55/0.77 % done 66 iterations in 0.027s
% 0.55/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.77 % SZS output start Refutation
% 0.55/0.77 thf(b_type, type, b: $i).
% 0.55/0.77 thf(compose_type, type, compose: $i > $i > $i).
% 0.55/0.77 thf(a_type, type, a: $i).
% 0.55/0.77 thf(domain_type, type, domain: $i > $i).
% 0.55/0.77 thf(c_type, type, c: $i).
% 0.55/0.77 thf(there_exists_type, type, there_exists: $i > $o).
% 0.55/0.77 thf(codomain_type, type, codomain: $i > $i).
% 0.55/0.77 thf(domain_codomain_composition1, axiom,
% 0.55/0.77 (( ~( there_exists @ ( compose @ X @ Y ) ) ) |
% 0.55/0.77 ( ( domain @ X ) = ( codomain @ Y ) ))).
% 0.55/0.77 thf(zip_derived_cl6, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i]:
% 0.55/0.77 (~ (there_exists @ (compose @ X0 @ X1))
% 0.55/0.77 | ((domain @ X0) = (codomain @ X1)))),
% 0.55/0.77 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.55/0.77 thf(assume_ab_exists, axiom, (there_exists @ ( compose @ a @ b ))).
% 0.55/0.77 thf(zip_derived_cl11, plain, ( (there_exists @ (compose @ a @ b))),
% 0.55/0.77 inference('cnf', [status(esa)], [assume_ab_exists])).
% 0.55/0.77 thf(zip_derived_cl57, plain, (((domain @ a) = (codomain @ b))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 0.55/0.77 thf(compose_codomain, axiom, (( compose @ ( codomain @ X ) @ X ) = ( X ))).
% 0.55/0.77 thf(zip_derived_cl10, plain,
% 0.55/0.77 (![X0 : $i]: ((compose @ (codomain @ X0) @ X0) = (X0))),
% 0.55/0.77 inference('cnf', [status(esa)], [compose_codomain])).
% 0.55/0.77 thf(zip_derived_cl75, plain, (((compose @ (domain @ a) @ b) = (b))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl10])).
% 0.55/0.77 thf(associativity_of_compose, axiom,
% 0.55/0.77 (( compose @ X @ ( compose @ Y @ Z ) ) =
% 0.55/0.77 ( compose @ ( compose @ X @ Y ) @ Z ))).
% 0.55/0.77 thf(zip_derived_cl8, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.77 ((compose @ X0 @ (compose @ X1 @ X2))
% 0.55/0.77 = (compose @ (compose @ X0 @ X1) @ X2))),
% 0.55/0.77 inference('cnf', [status(esa)], [associativity_of_compose])).
% 0.55/0.77 thf(zip_derived_cl95, plain,
% 0.55/0.77 (![X0 : $i]:
% 0.55/0.77 ((compose @ (domain @ a) @ (compose @ b @ X0)) = (compose @ b @ X0))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl8])).
% 0.55/0.77 thf(zip_derived_cl6, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i]:
% 0.55/0.77 (~ (there_exists @ (compose @ X0 @ X1))
% 0.55/0.77 | ((domain @ X0) = (codomain @ X1)))),
% 0.55/0.77 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.55/0.77 thf(zip_derived_cl203, plain,
% 0.55/0.77 (![X0 : $i]:
% 0.55/0.77 (~ (there_exists @ (compose @ b @ X0))
% 0.55/0.77 | ((domain @ (domain @ a)) = (codomain @ (compose @ b @ X0))))),
% 0.55/0.77 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl6])).
% 0.55/0.77 thf(zip_derived_cl75, plain, (((compose @ (domain @ a) @ b) = (b))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl10])).
% 0.55/0.77 thf(zip_derived_cl6, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i]:
% 0.55/0.77 (~ (there_exists @ (compose @ X0 @ X1))
% 0.55/0.77 | ((domain @ X0) = (codomain @ X1)))),
% 0.55/0.77 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.55/0.77 thf(zip_derived_cl93, plain,
% 0.55/0.77 ((~ (there_exists @ b) | ((domain @ (domain @ a)) = (codomain @ b)))),
% 0.55/0.77 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl6])).
% 0.55/0.77 thf(zip_derived_cl57, plain, (((domain @ a) = (codomain @ b))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 0.55/0.77 thf(codomain_has_elements, axiom,
% 0.55/0.77 (( ~( there_exists @ ( codomain @ X ) ) ) | ( there_exists @ X ))).
% 0.55/0.77 thf(zip_derived_cl4, plain,
% 0.55/0.77 (![X0 : $i]: (~ (there_exists @ (codomain @ X0)) | (there_exists @ X0))),
% 0.55/0.77 inference('cnf', [status(esa)], [codomain_has_elements])).
% 0.55/0.77 thf(zip_derived_cl74, plain,
% 0.55/0.77 ((~ (there_exists @ (domain @ a)) | (there_exists @ b))),
% 0.55/0.77 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl4])).
% 0.55/0.77 thf(composition_implies_domain, axiom,
% 0.55/0.77 (( ~( there_exists @ ( compose @ X @ Y ) ) ) |
% 0.55/0.77 ( there_exists @ ( domain @ X ) ))).
% 0.55/0.77 thf(zip_derived_cl5, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i]:
% 0.55/0.77 (~ (there_exists @ (compose @ X0 @ X1))
% 0.55/0.77 | (there_exists @ (domain @ X0)))),
% 0.55/0.77 inference('cnf', [status(esa)], [composition_implies_domain])).
% 0.55/0.77 thf(zip_derived_cl11, plain, ( (there_exists @ (compose @ a @ b))),
% 0.55/0.77 inference('cnf', [status(esa)], [assume_ab_exists])).
% 0.55/0.77 thf(zip_derived_cl49, plain, ( (there_exists @ (domain @ a))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.55/0.77 thf(zip_derived_cl76, plain, ( (there_exists @ b)),
% 0.55/0.77 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl49])).
% 0.55/0.77 thf(zip_derived_cl57, plain, (((domain @ a) = (codomain @ b))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 0.55/0.77 thf(zip_derived_cl97, plain, (((domain @ (domain @ a)) = (domain @ a))),
% 0.55/0.77 inference('demod', [status(thm)],
% 0.55/0.77 [zip_derived_cl93, zip_derived_cl76, zip_derived_cl57])).
% 0.55/0.77 thf(zip_derived_cl211, plain,
% 0.55/0.77 (![X0 : $i]:
% 0.55/0.77 (~ (there_exists @ (compose @ b @ X0))
% 0.55/0.77 | ((domain @ a) = (codomain @ (compose @ b @ X0))))),
% 0.55/0.77 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl97])).
% 0.55/0.77 thf(prove_a_bc_exists, conjecture,
% 0.55/0.77 (there_exists @ ( compose @ a @ ( compose @ b @ c ) ))).
% 0.55/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.77 (~( there_exists @ ( compose @ a @ ( compose @ b @ c ) ) )),
% 0.55/0.77 inference('cnf.neg', [status(esa)], [prove_a_bc_exists])).
% 0.55/0.77 thf(zip_derived_cl13, plain,
% 0.55/0.77 (~ (there_exists @ (compose @ a @ (compose @ b @ c)))),
% 0.55/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.77 thf(domain_codomain_composition2, axiom,
% 0.55/0.77 (( ~( there_exists @ ( domain @ X ) ) ) |
% 0.55/0.77 ( ( domain @ X ) != ( codomain @ Y ) ) |
% 0.55/0.77 ( there_exists @ ( compose @ X @ Y ) ))).
% 0.55/0.77 thf(zip_derived_cl7, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i]:
% 0.55/0.77 (~ (there_exists @ (domain @ X0))
% 0.55/0.77 | ((domain @ X0) != (codomain @ X1))
% 0.55/0.77 | (there_exists @ (compose @ X0 @ X1)))),
% 0.55/0.77 inference('cnf', [status(esa)], [domain_codomain_composition2])).
% 0.55/0.77 thf(zip_derived_cl68, plain,
% 0.55/0.77 ((((domain @ a) != (codomain @ (compose @ b @ c)))
% 0.55/0.77 | ~ (there_exists @ (domain @ a)))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl7])).
% 0.55/0.77 thf(zip_derived_cl49, plain, ( (there_exists @ (domain @ a))),
% 0.55/0.77 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.55/0.77 thf(zip_derived_cl71, plain,
% 0.55/0.77 (((domain @ a) != (codomain @ (compose @ b @ c)))),
% 0.55/0.77 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl49])).
% 0.55/0.77 thf(zip_derived_cl283, plain,
% 0.55/0.77 ((((domain @ a) != (domain @ a)) | ~ (there_exists @ (compose @ b @ c)))),
% 0.55/0.77 inference('sup-', [status(thm)], [zip_derived_cl211, zip_derived_cl71])).
% 0.55/0.77 thf(assume_bc_exists, axiom, (there_exists @ ( compose @ b @ c ))).
% 0.55/0.77 thf(zip_derived_cl12, plain, ( (there_exists @ (compose @ b @ c))),
% 0.55/0.77 inference('cnf', [status(esa)], [assume_bc_exists])).
% 0.55/0.77 thf(zip_derived_cl295, plain, (((domain @ a) != (domain @ a))),
% 0.55/0.77 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl12])).
% 0.55/0.77 thf(zip_derived_cl296, plain, ($false),
% 0.55/0.77 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 0.55/0.77
% 0.55/0.77 % SZS output end Refutation
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 % Terminating...
% 0.57/0.84 % Runner terminated.
% 0.57/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------