TSTP Solution File: SET041-3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET041-3 : 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.AMMB7y068b true
% Computer : n003.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 Aug 31 16:12:05 EDT 2023
% Result : Unsatisfiable 1.34s 1.07s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET041-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AMMB7y068b true
% 0.13/0.34 % Computer : n003.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:25:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.22/0.35 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.34/1.07 % Solved by fo/fo13.sh.
% 1.34/1.07 % done 284 iterations in 0.300s
% 1.34/1.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/1.07 % SZS output start Refutation
% 1.34/1.07 thf(another_function_type, type, another_function: $i).
% 1.34/1.07 thf(apply_type, type, apply: $i > $i > $i).
% 1.34/1.07 thf(subset_type, type, subset: $i > $i > $o).
% 1.34/1.07 thf(domain_of_type, type, domain_of: $i > $i).
% 1.34/1.07 thf(a_type, type, a: $i).
% 1.34/1.07 thf(a_function_type, type, a_function: $i).
% 1.34/1.07 thf(member_type, type, member: $i > $i > $o).
% 1.34/1.07 thf(function_type, type, function: $i > $o).
% 1.34/1.07 thf(compose_type, type, compose: $i > $i > $i).
% 1.34/1.07 thf(prove_apply_for_composition3, conjecture,
% 1.34/1.07 (( apply @ another_function @ ( apply @ a_function @ a ) ) =
% 1.34/1.07 ( apply @ ( compose @ another_function @ a_function ) @ a ))).
% 1.34/1.07 thf(zf_stmt_0, negated_conjecture,
% 1.34/1.07 (( apply @ another_function @ ( apply @ a_function @ a ) ) !=
% 1.34/1.07 ( apply @ ( compose @ another_function @ a_function ) @ a )),
% 1.34/1.07 inference('cnf.neg', [status(esa)], [prove_apply_for_composition3])).
% 1.34/1.07 thf(zip_derived_cl168, plain,
% 1.34/1.07 (((apply @ another_function @ (apply @ a_function @ a))
% 1.34/1.07 != (apply @ (compose @ another_function @ a_function) @ a))),
% 1.34/1.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/1.07 thf(apply_for_composition2, axiom,
% 1.34/1.07 (( ~( function @ Xf ) ) |
% 1.34/1.07 ( subset @
% 1.34/1.07 ( apply @ ( compose @ Xg @ Xf ) @ X ) @
% 1.34/1.07 ( apply @ Xg @ ( apply @ Xf @ X ) ) ))).
% 1.34/1.07 thf(zip_derived_cl165, plain,
% 1.34/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.07 (~ (function @ X0)
% 1.34/1.07 | (subset @ (apply @ (compose @ X1 @ X0) @ X2) @
% 1.34/1.07 (apply @ X1 @ (apply @ X0 @ X2))))),
% 1.34/1.07 inference('cnf', [status(esa)], [apply_for_composition2])).
% 1.34/1.07 thf(member_of_domain, axiom, (member @ a @ ( domain_of @ a_function ))).
% 1.34/1.07 thf(zip_derived_cl167, plain, ( (member @ a @ (domain_of @ a_function))),
% 1.34/1.07 inference('cnf', [status(esa)], [member_of_domain])).
% 1.34/1.07 thf(apply_for_composition1, axiom,
% 1.34/1.07 (( ~( function @ Xf ) ) | ( ~( member @ X @ ( domain_of @ Xf ) ) ) |
% 1.34/1.07 ( subset @
% 1.34/1.07 ( apply @ Xg @ ( apply @ Xf @ X ) ) @
% 1.34/1.07 ( apply @ ( compose @ Xg @ Xf ) @ X ) ))).
% 1.34/1.07 thf(zip_derived_cl164, plain,
% 1.34/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.07 (~ (function @ X0)
% 1.34/1.07 | ~ (member @ X1 @ (domain_of @ X0))
% 1.34/1.07 | (subset @ (apply @ X2 @ (apply @ X0 @ X1)) @
% 1.34/1.07 (apply @ (compose @ X2 @ X0) @ X1)))),
% 1.34/1.07 inference('cnf', [status(esa)], [apply_for_composition1])).
% 1.34/1.07 thf(zip_derived_cl1253, plain,
% 1.34/1.07 (![X0 : $i]:
% 1.34/1.07 (~ (function @ a_function)
% 1.34/1.07 | (subset @ (apply @ X0 @ (apply @ a_function @ a)) @
% 1.34/1.07 (apply @ (compose @ X0 @ a_function) @ a)))),
% 1.34/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl164])).
% 1.34/1.07 thf(a_function, axiom, (function @ a_function)).
% 1.34/1.07 thf(zip_derived_cl166, plain, ( (function @ a_function)),
% 1.34/1.07 inference('cnf', [status(esa)], [a_function])).
% 1.34/1.07 thf(zip_derived_cl1254, plain,
% 1.34/1.07 (![X0 : $i]:
% 1.34/1.07 (subset @ (apply @ X0 @ (apply @ a_function @ a)) @
% 1.34/1.07 (apply @ (compose @ X0 @ a_function) @ a))),
% 1.34/1.07 inference('demod', [status(thm)], [zip_derived_cl1253, zip_derived_cl166])).
% 1.34/1.07 thf(two_sets_equal, axiom,
% 1.34/1.07 (( ~( subset @ X @ Y ) ) | ( ~( subset @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.34/1.07 thf(zip_derived_cl144, plain,
% 1.34/1.07 (![X0 : $i, X1 : $i]:
% 1.34/1.07 (~ (subset @ X0 @ X1) | ~ (subset @ X1 @ X0) | ((X0) = (X1)))),
% 1.34/1.07 inference('cnf', [status(esa)], [two_sets_equal])).
% 1.34/1.07 thf(zip_derived_cl1308, plain,
% 1.34/1.07 (![X0 : $i]:
% 1.34/1.07 (~ (subset @ (apply @ (compose @ X0 @ a_function) @ a) @
% 1.34/1.07 (apply @ X0 @ (apply @ a_function @ a)))
% 1.34/1.07 | ((apply @ X0 @ (apply @ a_function @ a))
% 1.34/1.07 = (apply @ (compose @ X0 @ a_function) @ a)))),
% 1.34/1.07 inference('s_sup-', [status(thm)],
% 1.34/1.07 [zip_derived_cl1254, zip_derived_cl144])).
% 1.34/1.07 thf(zip_derived_cl1330, plain,
% 1.34/1.07 (![X0 : $i]:
% 1.34/1.07 (~ (function @ a_function)
% 1.34/1.07 | ((apply @ X0 @ (apply @ a_function @ a))
% 1.34/1.07 = (apply @ (compose @ X0 @ a_function) @ a)))),
% 1.34/1.07 inference('s_sup-', [status(thm)],
% 1.34/1.07 [zip_derived_cl165, zip_derived_cl1308])).
% 1.34/1.07 thf(zip_derived_cl166, plain, ( (function @ a_function)),
% 1.34/1.07 inference('cnf', [status(esa)], [a_function])).
% 1.34/1.07 thf(zip_derived_cl1331, plain,
% 1.34/1.07 (![X0 : $i]:
% 1.34/1.07 ((apply @ X0 @ (apply @ a_function @ a))
% 1.34/1.07 = (apply @ (compose @ X0 @ a_function) @ a))),
% 1.34/1.07 inference('demod', [status(thm)], [zip_derived_cl1330, zip_derived_cl166])).
% 1.34/1.07 thf(zip_derived_cl1333, plain,
% 1.34/1.07 (((apply @ another_function @ (apply @ a_function @ a))
% 1.34/1.07 != (apply @ another_function @ (apply @ a_function @ a)))),
% 1.34/1.07 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl1331])).
% 1.34/1.07 thf(zip_derived_cl1334, plain, ($false),
% 1.34/1.07 inference('simplify', [status(thm)], [zip_derived_cl1333])).
% 1.34/1.07
% 1.34/1.07 % SZS output end Refutation
% 1.34/1.07
% 1.34/1.07
% 1.34/1.07 % Terminating...
% 1.34/1.15 % Runner terminated.
% 1.77/1.17 % Zipperpin 1.5 exiting
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