%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT009-3 : 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.OiK5A1jTKM true
% Computer : n027.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 04:29:58 PM UTC 2025
% Result : Unsatisfiable 0.62s 0.90s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT009-3 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OiK5A1jTKM true
% 0.14/0.35 % Computer : n027.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 : Wed Oct 1 10:43:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.58/0.69 % Total configuration time : 435
% 0.58/0.69 % Estimated wc time : 1092
% 0.58/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.90 % Solved by fo/fo6_bce.sh.
% 0.62/0.90 % BCE start: 19
% 0.62/0.90 % BCE eliminated: 1
% 0.62/0.90 % PE start: 18
% 0.62/0.90 logic: eq
% 0.62/0.90 % PE eliminated: 3
% 0.62/0.90 % done 150 iterations in 0.107s
% 0.62/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.62/0.90 % SZS output start Refutation
% 0.62/0.90 thf(compose_type, type, compose: $i > $i > $i).
% 0.62/0.90 thf(b_type, type, b: $i).
% 0.62/0.90 thf(domain_type, type, domain: $i > $i).
% 0.62/0.90 thf(there_exists_type, type, there_exists: $i > $o).
% 0.62/0.90 thf(codomain_type, type, codomain: $i > $i).
% 0.62/0.90 thf(a_type, type, a: $i).
% 0.62/0.90 thf(compose_domain, axiom, (( compose @ X @ ( domain @ X ) ) = ( X ))).
% 0.62/0.90 thf(zip_derived_cl9, plain,
% 0.62/0.90 (![X0 : $i]: ((compose @ X0 @ (domain @ X0)) = (X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [compose_domain])).
% 0.62/0.90 thf(ab_exists, axiom, (there_exists @ ( compose @ a @ b ))).
% 0.62/0.90 thf(zip_derived_cl17, plain, ( (there_exists @ (compose @ a @ b))),
% 0.62/0.90 inference('cnf', [status(esa)], [ab_exists])).
% 0.62/0.90 thf(domain_codomain_composition1, axiom,
% 0.62/0.90 (( ~( there_exists @ ( compose @ X @ Y ) ) ) |
% 0.62/0.90 ( ( domain @ X ) = ( codomain @ Y ) ))).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ X0 @ X1))
% 0.62/0.90 | ((domain @ X0) = (codomain @ X1)))),
% 0.62/0.90 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.62/0.90 thf(zip_derived_cl71, plain, (((domain @ a) = (codomain @ b))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl6])).
% 0.62/0.90 thf(compose_codomain, axiom, (( compose @ ( codomain @ X ) @ X ) = ( X ))).
% 0.62/0.90 thf(zip_derived_cl10, plain,
% 0.62/0.90 (![X0 : $i]: ((compose @ (codomain @ X0) @ X0) = (X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [compose_codomain])).
% 0.62/0.90 thf(zip_derived_cl83, plain, (((compose @ (domain @ a) @ b) = (b))),
% 0.62/0.90 inference('s_sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl10])).
% 0.62/0.90 thf(associativity_of_compose, axiom,
% 0.62/0.90 (( compose @ X @ ( compose @ Y @ Z ) ) =
% 0.62/0.90 ( compose @ ( compose @ X @ Y ) @ Z ))).
% 0.62/0.90 thf(zip_derived_cl8, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((compose @ X0 @ (compose @ X1 @ X2))
% 0.62/0.90 = (compose @ (compose @ X0 @ X1) @ X2))),
% 0.62/0.90 inference('cnf', [status(esa)], [associativity_of_compose])).
% 0.62/0.90 thf(zip_derived_cl96, plain,
% 0.62/0.90 (![X0 : $i]:
% 0.62/0.90 ((compose @ (domain @ a) @ (compose @ b @ X0)) = (compose @ b @ X0))),
% 0.62/0.90 inference('s_sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl8])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ X0 @ X1))
% 0.62/0.90 | ((domain @ X0) = (codomain @ X1)))),
% 0.62/0.90 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.62/0.90 thf(zip_derived_cl142, plain,
% 0.62/0.90 (![X0 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ b @ X0))
% 0.62/0.90 | ((domain @ (domain @ a)) = (codomain @ (compose @ b @ X0))))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl83, plain, (((compose @ (domain @ a) @ b) = (b))),
% 0.62/0.90 inference('s_sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl10])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ X0 @ X1))
% 0.62/0.90 | ((domain @ X0) = (codomain @ X1)))),
% 0.62/0.90 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.62/0.90 thf(zip_derived_cl86, plain,
% 0.62/0.90 ((~ (there_exists @ b) | ((domain @ (domain @ a)) = (codomain @ b)))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl71, plain, (((domain @ a) = (codomain @ b))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl88, plain,
% 0.62/0.90 ((~ (there_exists @ b) | ((domain @ (domain @ a)) = (domain @ a)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl71])).
% 0.62/0.90 thf(zip_derived_cl71, plain, (((domain @ a) = (codomain @ b))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl6])).
% 0.62/0.90 thf(codomain_has_elements, axiom,
% 0.62/0.90 (( ~( there_exists @ ( codomain @ X ) ) ) | ( there_exists @ X ))).
% 0.62/0.90 thf(zip_derived_cl4, plain,
% 0.62/0.90 (![X0 : $i]: (~ (there_exists @ (codomain @ X0)) | (there_exists @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [codomain_has_elements])).
% 0.62/0.90 thf(zip_derived_cl82, plain,
% 0.62/0.90 ((~ (there_exists @ (domain @ a)) | (there_exists @ b))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl4])).
% 0.62/0.90 thf(zip_derived_cl17, plain, ( (there_exists @ (compose @ a @ b))),
% 0.62/0.90 inference('cnf', [status(esa)], [ab_exists])).
% 0.62/0.90 thf(composition_implies_domain, axiom,
% 0.62/0.90 (( ~( there_exists @ ( compose @ X @ Y ) ) ) |
% 0.62/0.90 ( there_exists @ ( domain @ X ) ))).
% 0.62/0.90 thf(zip_derived_cl5, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ X0 @ X1))
% 0.62/0.90 | (there_exists @ (domain @ X0)))),
% 0.62/0.90 inference('cnf', [status(esa)], [composition_implies_domain])).
% 0.62/0.90 thf(zip_derived_cl74, plain, ( (there_exists @ (domain @ a))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl5])).
% 0.62/0.90 thf(zip_derived_cl84, plain, ( (there_exists @ b)),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl74])).
% 0.62/0.90 thf(zip_derived_cl89, plain, (((domain @ (domain @ a)) = (domain @ a))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl84])).
% 0.62/0.90 thf(zip_derived_cl147, plain,
% 0.62/0.90 (![X0 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ b @ X0))
% 0.62/0.90 | ((domain @ a) = (codomain @ (compose @ b @ X0))))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl89])).
% 0.62/0.90 thf(zip_derived_cl74, plain, ( (there_exists @ (domain @ a))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl5])).
% 0.62/0.90 thf(domain_codomain_composition2, axiom,
% 0.62/0.90 (( ~( there_exists @ ( domain @ X ) ) ) |
% 0.62/0.90 ( ( domain @ X ) != ( codomain @ Y ) ) |
% 0.62/0.90 ( there_exists @ ( compose @ X @ Y ) ))).
% 0.62/0.90 thf(zip_derived_cl7, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 (~ (there_exists @ (domain @ X0))
% 0.62/0.90 | ((domain @ X0) != (codomain @ X1))
% 0.62/0.90 | (there_exists @ (compose @ X0 @ X1)))),
% 0.62/0.90 inference('cnf', [status(esa)], [domain_codomain_composition2])).
% 0.62/0.90 thf(zip_derived_cl81, plain,
% 0.62/0.90 (![X0 : $i]:
% 0.62/0.90 (((domain @ a) != (codomain @ X0))
% 0.62/0.90 | (there_exists @ (compose @ a @ X0)))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl7])).
% 0.62/0.90 thf(zip_derived_cl208, plain,
% 0.62/0.90 (![X0 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ b @ X0))
% 0.62/0.90 | ((domain @ a) != (domain @ a))
% 0.62/0.90 | (there_exists @ (compose @ a @ (compose @ b @ X0))))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl81])).
% 0.62/0.90 thf(zip_derived_cl219, plain,
% 0.62/0.90 (![X0 : $i]:
% 0.62/0.90 ( (there_exists @ (compose @ a @ (compose @ b @ X0)))
% 0.62/0.90 | ~ (there_exists @ (compose @ b @ X0)))),
% 0.62/0.90 inference('simplify', [status(thm)], [zip_derived_cl208])).
% 0.62/0.90 thf(zip_derived_cl8, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((compose @ X0 @ (compose @ X1 @ X2))
% 0.62/0.90 = (compose @ (compose @ X0 @ X1) @ X2))),
% 0.62/0.90 inference('cnf', [status(esa)], [associativity_of_compose])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ X0 @ X1))
% 0.62/0.90 | ((domain @ X0) = (codomain @ X1)))),
% 0.62/0.90 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.62/0.90 thf(zip_derived_cl91, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ X2 @ (compose @ X1 @ X0)))
% 0.62/0.90 | ((domain @ (compose @ X2 @ X1)) = (codomain @ X0)))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl817, plain,
% 0.62/0.90 (![X0 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ b @ X0))
% 0.62/0.90 | ((domain @ (compose @ a @ b)) = (codomain @ X0)))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl91])).
% 0.62/0.90 thf(prove_domain_of_ab_equals_domain_of_b, conjecture,
% 0.62/0.90 (( domain @ ( compose @ a @ b ) ) = ( domain @ b ))).
% 0.62/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.62/0.90 (( domain @ ( compose @ a @ b ) ) != ( domain @ b )),
% 0.62/0.90 inference('cnf.neg', [status(esa)], [prove_domain_of_ab_equals_domain_of_b])).
% 0.62/0.90 thf(zip_derived_cl18, plain,
% 0.62/0.90 (((domain @ (compose @ a @ b)) != (domain @ b))),
% 0.62/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.62/0.90 thf(zip_derived_cl901, plain,
% 0.62/0.90 (![X0 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ b @ X0))
% 0.62/0.90 | ((codomain @ X0) != (domain @ b)))),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl18])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 (~ (there_exists @ (compose @ X0 @ X1))
% 0.62/0.90 | ((domain @ X0) = (codomain @ X1)))),
% 0.62/0.90 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.62/0.90 thf(zip_derived_cl913, plain,
% 0.62/0.90 (![X0 : $i]: ~ (there_exists @ (compose @ b @ X0))),
% 0.62/0.90 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl914, plain, (~ (there_exists @ b)),
% 0.62/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl913])).
% 0.62/0.90 thf(zip_derived_cl84, plain, ( (there_exists @ b)),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl74])).
% 0.62/0.90 thf(zip_derived_cl919, plain, ($false),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl914, zip_derived_cl84])).
% 0.62/0.90
% 0.62/0.90 % SZS output end Refutation
% 0.62/0.90
% 0.62/0.90
% 0.62/0.90 % Terminating...
% 0.66/1.01 % Runner terminated.
% 0.66/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------