TSTP Solution File: REL001-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X9PpedoWdY true
% Computer : n011.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 13:46:58 EDT 2023
% Result : Unsatisfiable 1.31s 0.79s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X9PpedoWdY true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Fri Aug 25 19:18:23 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
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.79 % Solved by fo/fo3_bce.sh.
% 1.31/0.79 % BCE start: 14
% 1.31/0.79 % BCE eliminated: 0
% 1.31/0.79 % PE start: 14
% 1.31/0.79 logic: eq
% 1.31/0.79 % PE eliminated: 0
% 1.31/0.79 % done 41 iterations in 0.043s
% 1.31/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.79 % SZS output start Refutation
% 1.31/0.79 thf(composition_type, type, composition: $i > $i > $i).
% 1.31/0.79 thf(meet_type, type, meet: $i > $i > $i).
% 1.31/0.79 thf(complement_type, type, complement: $i > $i).
% 1.31/0.79 thf(converse_type, type, converse: $i > $i).
% 1.31/0.79 thf(top_type, type, top: $i).
% 1.31/0.79 thf(join_type, type, join: $i > $i > $i).
% 1.31/0.79 thf(zero_type, type, zero: $i).
% 1.31/0.79 thf(sk1_type, type, sk1: $i).
% 1.31/0.79 thf(one_type, type, one: $i).
% 1.31/0.79 thf(goals_14, conjecture, (( join @ zero @ sk1 ) = ( sk1 ))).
% 1.31/0.79 thf(zf_stmt_0, negated_conjecture, (( join @ zero @ sk1 ) != ( sk1 )),
% 1.31/0.79 inference('cnf.neg', [status(esa)], [goals_14])).
% 1.31/0.79 thf(zip_derived_cl13, plain, (((join @ zero @ sk1) != (sk1))),
% 1.31/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.79 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 1.31/0.79 thf(zip_derived_cl7, plain,
% 1.31/0.79 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 1.31/0.79 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 1.31/0.79 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 1.31/0.79 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 1.31/0.79 inference('cnf', [status(esa)], [composition_identity_6])).
% 1.31/0.79 thf(converse_multiplicativity_10, axiom,
% 1.31/0.79 (( converse @ ( composition @ A @ B ) ) =
% 1.31/0.79 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 1.31/0.79 thf(zip_derived_cl9, plain,
% 1.31/0.79 (![X0 : $i, X1 : $i]:
% 1.31/0.79 ((converse @ (composition @ X1 @ X0))
% 1.31/0.79 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 1.31/0.79 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 1.31/0.79 thf(zip_derived_cl57, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((converse @ X0) = (composition @ (converse @ one) @ (converse @ X0)))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl9])).
% 1.31/0.79 thf(zip_derived_cl156, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl57])).
% 1.31/0.79 thf(zip_derived_cl7, plain,
% 1.31/0.79 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 1.31/0.79 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 1.31/0.79 thf(zip_derived_cl157, plain,
% 1.31/0.79 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl7])).
% 1.31/0.79 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 1.31/0.79 inference('cnf', [status(esa)], [composition_identity_6])).
% 1.31/0.79 thf(composition_associativity_5, axiom,
% 1.31/0.79 (( composition @ A @ ( composition @ B @ C ) ) =
% 1.31/0.79 ( composition @ ( composition @ A @ B ) @ C ))).
% 1.31/0.79 thf(zip_derived_cl4, plain,
% 1.31/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.79 ((composition @ X0 @ (composition @ X1 @ X2))
% 1.31/0.79 = (composition @ (composition @ X0 @ X1) @ X2))),
% 1.31/0.79 inference('cnf', [status(esa)], [composition_associativity_5])).
% 1.31/0.79 thf(zip_derived_cl30, plain,
% 1.31/0.79 (![X0 : $i, X1 : $i]:
% 1.31/0.79 ((composition @ X0 @ (composition @ one @ X1))
% 1.31/0.79 = (composition @ X0 @ X1))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.31/0.79 thf(zip_derived_cl163, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((composition @ one @ X0) = (composition @ (converse @ one) @ X0))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl30])).
% 1.31/0.79 thf(zip_derived_cl157, plain,
% 1.31/0.79 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl7])).
% 1.31/0.79 thf(zip_derived_cl169, plain,
% 1.31/0.79 (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl157])).
% 1.31/0.79 thf(converse_cancellativity_11, axiom,
% 1.31/0.79 (( join @
% 1.31/0.79 ( composition @
% 1.31/0.79 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 1.31/0.79 ( complement @ B ) ) =
% 1.31/0.79 ( complement @ B ))).
% 1.31/0.79 thf(zip_derived_cl10, plain,
% 1.31/0.79 (![X0 : $i, X1 : $i]:
% 1.31/0.79 ((join @
% 1.31/0.79 (composition @ (converse @ X1) @
% 1.31/0.79 (complement @ (composition @ X1 @ X0))) @
% 1.31/0.79 (complement @ X0)) = (complement @ X0))),
% 1.31/0.79 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 1.31/0.79 thf(zip_derived_cl182, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 1.31/0.79 (complement @ X0)) = (complement @ X0))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl10])).
% 1.31/0.79 thf(zip_derived_cl157, plain,
% 1.31/0.79 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl7])).
% 1.31/0.79 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 1.31/0.79 inference('cnf', [status(esa)], [composition_identity_6])).
% 1.31/0.79 thf(zip_derived_cl164, plain, (((one) = (converse @ one))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl5])).
% 1.31/0.79 thf(zip_derived_cl169, plain,
% 1.31/0.79 (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl157])).
% 1.31/0.79 thf(zip_derived_cl183, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 1.31/0.79 inference('demod', [status(thm)],
% 1.31/0.79 [zip_derived_cl182, zip_derived_cl164, zip_derived_cl169])).
% 1.31/0.79 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 1.31/0.79 (( A ) =
% 1.31/0.79 ( join @
% 1.31/0.79 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 1.31/0.79 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 1.31/0.79 thf(zip_derived_cl2, plain,
% 1.31/0.79 (![X0 : $i, X1 : $i]:
% 1.31/0.79 ((X0)
% 1.31/0.79 = (join @
% 1.31/0.79 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 1.31/0.79 (complement @ (join @ (complement @ X0) @ X1))))),
% 1.31/0.79 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 1.31/0.79 thf(zip_derived_cl255, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((X0)
% 1.31/0.79 = (join @
% 1.31/0.79 (complement @
% 1.31/0.79 (join @ (complement @ X0) @ (complement @ (complement @ X0)))) @
% 1.31/0.79 (complement @ (complement @ X0))))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl2])).
% 1.31/0.79 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 1.31/0.79 thf(zip_derived_cl11, plain,
% 1.31/0.79 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.31/0.79 inference('cnf', [status(esa)], [def_top_12])).
% 1.31/0.79 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 1.31/0.79 thf(zip_derived_cl12, plain,
% 1.31/0.79 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 1.31/0.79 inference('cnf', [status(esa)], [def_zero_13])).
% 1.31/0.79 thf(maddux4_definiton_of_meet_4, axiom,
% 1.31/0.79 (( meet @ A @ B ) =
% 1.31/0.79 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 1.31/0.79 thf(zip_derived_cl3, plain,
% 1.31/0.79 (![X0 : $i, X1 : $i]:
% 1.31/0.79 ((meet @ X0 @ X1)
% 1.31/0.79 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 1.31/0.79 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 1.31/0.79 thf(zip_derived_cl26, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((zero)
% 1.31/0.79 = (complement @
% 1.31/0.79 (join @ (complement @ X0) @ (complement @ (complement @ X0)))))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl3])).
% 1.31/0.79 thf(zip_derived_cl11, plain,
% 1.31/0.79 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.31/0.79 inference('cnf', [status(esa)], [def_top_12])).
% 1.31/0.79 thf(zip_derived_cl27, plain, (((zero) = (complement @ top))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl11])).
% 1.31/0.79 thf(zip_derived_cl261, plain,
% 1.31/0.79 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 1.31/0.79 inference('demod', [status(thm)],
% 1.31/0.79 [zip_derived_cl255, zip_derived_cl11, zip_derived_cl27])).
% 1.31/0.79 thf(zip_derived_cl27, plain, (((zero) = (complement @ top))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl11])).
% 1.31/0.79 thf(zip_derived_cl183, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 1.31/0.79 inference('demod', [status(thm)],
% 1.31/0.79 [zip_derived_cl182, zip_derived_cl164, zip_derived_cl169])).
% 1.31/0.79 thf(zip_derived_cl257, plain,
% 1.31/0.79 (((join @ (complement @ top) @ zero) = (complement @ top))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl183])).
% 1.31/0.79 thf(zip_derived_cl27, plain, (((zero) = (complement @ top))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl11])).
% 1.31/0.79 thf(zip_derived_cl27, plain, (((zero) = (complement @ top))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl11])).
% 1.31/0.79 thf(zip_derived_cl259, plain, (((join @ zero @ zero) = (zero))),
% 1.31/0.79 inference('demod', [status(thm)],
% 1.31/0.79 [zip_derived_cl257, zip_derived_cl27, zip_derived_cl27])).
% 1.31/0.79 thf(maddux2_join_associativity_2, axiom,
% 1.31/0.79 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 1.31/0.79 thf(zip_derived_cl1, plain,
% 1.31/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.79 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 1.31/0.79 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 1.31/0.79 thf(zip_derived_cl264, plain,
% 1.31/0.79 (![X0 : $i]: ((join @ zero @ (join @ zero @ X0)) = (join @ zero @ X0))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl1])).
% 1.31/0.79 thf(zip_derived_cl328, plain,
% 1.31/0.79 (![X0 : $i]:
% 1.31/0.79 ((join @ zero @ X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 1.31/0.79 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl264])).
% 1.31/0.79 thf(zip_derived_cl261, plain,
% 1.31/0.79 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 1.31/0.79 inference('demod', [status(thm)],
% 1.31/0.79 [zip_derived_cl255, zip_derived_cl11, zip_derived_cl27])).
% 1.31/0.79 thf(zip_derived_cl330, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl328, zip_derived_cl261])).
% 1.31/0.79 thf(zip_derived_cl331, plain, (((sk1) != (sk1))),
% 1.31/0.79 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl330])).
% 1.31/0.79 thf(zip_derived_cl332, plain, ($false),
% 1.31/0.79 inference('simplify', [status(thm)], [zip_derived_cl331])).
% 1.31/0.79
% 1.31/0.79 % SZS output end Refutation
% 1.31/0.79
% 1.31/0.79
% 1.31/0.79 % Terminating...
% 1.39/0.86 % Runner terminated.
% 1.39/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------