TSTP Solution File: CAT010-4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT010-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bW42gLRRuV true
% Computer : n021.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 18:20:56 EDT 2023
% Result : Unsatisfiable 2.24s 0.95s
% Output : Refutation 2.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : CAT010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bW42gLRRuV true
% 0.12/0.35 % Computer : n021.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 00:19:42 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.17/0.57 % Total configuration time : 435
% 0.17/0.57 % Estimated wc time : 1092
% 0.17/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.24/0.95 % Solved by fo/fo1_av.sh.
% 2.24/0.95 % done 171 iterations in 0.232s
% 2.24/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.24/0.95 % SZS output start Refutation
% 2.24/0.95 thf(b_type, type, b: $i).
% 2.24/0.95 thf(compose_type, type, compose: $i > $i > $i).
% 2.24/0.95 thf(a_type, type, a: $i).
% 2.24/0.95 thf(domain_type, type, domain: $i > $i).
% 2.24/0.95 thf(there_exists_type, type, there_exists: $i > $o).
% 2.24/0.95 thf(codomain_type, type, codomain: $i > $i).
% 2.24/0.95 thf(compose_codomain, axiom, (( compose @ ( codomain @ X ) @ X ) = ( X ))).
% 2.24/0.95 thf(zip_derived_cl10, plain,
% 2.24/0.95 (![X0 : $i]: ((compose @ (codomain @ X0) @ X0) = (X0))),
% 2.24/0.95 inference('cnf', [status(esa)], [compose_codomain])).
% 2.24/0.95 thf(domain_codomain_composition1, axiom,
% 2.24/0.95 (( ~( there_exists @ ( compose @ X @ Y ) ) ) |
% 2.24/0.95 ( ( domain @ X ) = ( codomain @ Y ) ))).
% 2.24/0.95 thf(zip_derived_cl6, plain,
% 2.24/0.95 (![X0 : $i, X1 : $i]:
% 2.24/0.95 (~ (there_exists @ (compose @ X0 @ X1))
% 2.24/0.95 | ((domain @ X0) = (codomain @ X1)))),
% 2.24/0.95 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 2.24/0.95 thf(zip_derived_cl19, plain,
% 2.24/0.95 (![X0 : $i]:
% 2.24/0.95 (~ (there_exists @ X0)
% 2.24/0.95 | ((domain @ (codomain @ X0)) = (codomain @ X0)))),
% 2.24/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 2.24/0.95 thf(zip_derived_cl10, plain,
% 2.24/0.95 (![X0 : $i]: ((compose @ (codomain @ X0) @ X0) = (X0))),
% 2.24/0.95 inference('cnf', [status(esa)], [compose_codomain])).
% 2.24/0.95 thf(associativity_of_compose, axiom,
% 2.24/0.95 (( compose @ X @ ( compose @ Y @ Z ) ) =
% 2.24/0.95 ( compose @ ( compose @ X @ Y ) @ Z ))).
% 2.24/0.95 thf(zip_derived_cl8, plain,
% 2.24/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.24/0.95 ((compose @ X0 @ (compose @ X1 @ X2))
% 2.24/0.95 = (compose @ (compose @ X0 @ X1) @ X2))),
% 2.24/0.95 inference('cnf', [status(esa)], [associativity_of_compose])).
% 2.24/0.95 thf(zip_derived_cl52, plain,
% 2.24/0.95 (![X0 : $i, X1 : $i]:
% 2.24/0.95 ((compose @ (codomain @ X0) @ (compose @ X0 @ X1))
% 2.24/0.95 = (compose @ X0 @ X1))),
% 2.24/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 2.24/0.95 thf(zip_derived_cl6, plain,
% 2.24/0.95 (![X0 : $i, X1 : $i]:
% 2.24/0.95 (~ (there_exists @ (compose @ X0 @ X1))
% 2.24/0.95 | ((domain @ X0) = (codomain @ X1)))),
% 2.24/0.95 inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 2.24/0.95 thf(zip_derived_cl141, plain,
% 2.24/0.95 (![X0 : $i, X1 : $i]:
% 2.24/0.95 (~ (there_exists @ (compose @ X1 @ X0))
% 2.24/0.95 | ((domain @ (codomain @ X1)) = (codomain @ (compose @ X1 @ X0))))),
% 2.24/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl6])).
% 2.24/0.95 thf(prove_codomain_of_ab_equals_codomain_of_a, conjecture,
% 2.24/0.95 (( codomain @ ( compose @ a @ b ) ) = ( codomain @ a ))).
% 2.24/0.95 thf(zf_stmt_0, negated_conjecture,
% 2.24/0.95 (( codomain @ ( compose @ a @ b ) ) != ( codomain @ a )),
% 2.24/0.95 inference('cnf.neg', [status(esa)],
% 2.24/0.95 [prove_codomain_of_ab_equals_codomain_of_a])).
% 2.24/0.95 thf(zip_derived_cl12, plain,
% 2.24/0.95 (((codomain @ (compose @ a @ b)) != (codomain @ a))),
% 2.24/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.24/0.95 thf(zip_derived_cl1395, plain,
% 2.24/0.95 ((~ (there_exists @ (compose @ a @ b))
% 2.24/0.95 | ((domain @ (codomain @ a)) != (codomain @ a)))),
% 2.24/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl12])).
% 2.24/0.95 thf(ab_exists, axiom, (there_exists @ ( compose @ a @ b ))).
% 2.24/0.95 thf(zip_derived_cl11, plain, ( (there_exists @ (compose @ a @ b))),
% 2.24/0.95 inference('cnf', [status(esa)], [ab_exists])).
% 2.24/0.95 thf(zip_derived_cl1438, plain,
% 2.24/0.95 (((domain @ (codomain @ a)) != (codomain @ a))),
% 2.24/0.95 inference('demod', [status(thm)], [zip_derived_cl1395, zip_derived_cl11])).
% 2.24/0.95 thf(zip_derived_cl1443, plain,
% 2.24/0.95 ((~ (there_exists @ a) | ((codomain @ a) != (codomain @ a)))),
% 2.24/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1438])).
% 2.24/0.95 thf(zip_derived_cl11, plain, ( (there_exists @ (compose @ a @ b))),
% 2.24/0.95 inference('cnf', [status(esa)], [ab_exists])).
% 2.24/0.95 thf(composition_implies_domain, axiom,
% 2.24/0.95 (( ~( there_exists @ ( compose @ X @ Y ) ) ) |
% 2.24/0.95 ( there_exists @ ( domain @ X ) ))).
% 2.24/0.95 thf(zip_derived_cl5, plain,
% 2.24/0.95 (![X0 : $i, X1 : $i]:
% 2.24/0.95 (~ (there_exists @ (compose @ X0 @ X1))
% 2.24/0.95 | (there_exists @ (domain @ X0)))),
% 2.24/0.95 inference('cnf', [status(esa)], [composition_implies_domain])).
% 2.24/0.95 thf(zip_derived_cl13, plain, ( (there_exists @ (domain @ a))),
% 2.24/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl5])).
% 2.24/0.95 thf(domain_has_elements, axiom,
% 2.24/0.95 (( ~( there_exists @ ( domain @ X ) ) ) | ( there_exists @ X ))).
% 2.24/0.95 thf(zip_derived_cl3, plain,
% 2.24/0.95 (![X0 : $i]: (~ (there_exists @ (domain @ X0)) | (there_exists @ X0))),
% 2.24/0.95 inference('cnf', [status(esa)], [domain_has_elements])).
% 2.24/0.95 thf(zip_derived_cl16, plain, ( (there_exists @ a)),
% 2.24/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl3])).
% 2.24/0.95 thf(zip_derived_cl1444, plain, (((codomain @ a) != (codomain @ a))),
% 2.24/0.95 inference('demod', [status(thm)], [zip_derived_cl1443, zip_derived_cl16])).
% 2.24/0.95 thf(zip_derived_cl1445, plain, ($false),
% 2.24/0.95 inference('simplify', [status(thm)], [zip_derived_cl1444])).
% 2.24/0.95
% 2.24/0.95 % SZS output end Refutation
% 2.24/0.95
% 2.24/0.95
% 2.24/0.95 % Terminating...
% 3.10/1.07 % Runner terminated.
% 3.10/1.09 % Zipperpin 1.5 exiting
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