%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL002-1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RGTmHFxP6t true
% Computer : n019.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 04:49:54 PM UTC 2025
% Result : Unsatisfiable 1.30s 0.92s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : REL002-1 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RGTmHFxP6t true
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 12:21:38 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.59 % Total configuration time : 435
% 0.17/0.59 % Estimated wc time : 1092
% 0.17/0.59 % Estimated cpu time (7 cpus) : 156.0
% 1.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.18/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.18/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.18/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.92 % Solved by fo/fo5.sh.
% 1.30/0.92 % done 128 iterations in 0.143s
% 1.30/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.92 % SZS output start Refutation
% 1.30/0.92 thf(composition_type, type, composition: $i > $i > $i).
% 1.30/0.92 thf(meet_type, type, meet: $i > $i > $i).
% 1.30/0.92 thf(complement_type, type, complement: $i > $i).
% 1.30/0.92 thf(converse_type, type, converse: $i > $i).
% 1.30/0.92 thf(top_type, type, top: $i).
% 1.30/0.92 thf(join_type, type, join: $i > $i > $i).
% 1.30/0.92 thf(zero_type, type, zero: $i).
% 1.30/0.92 thf(sk1_type, type, sk1: $i).
% 1.30/0.92 thf(one_type, type, one: $i).
% 1.30/0.92 thf(goals_14, conjecture, (( join @ sk1 @ top ) = ( top ))).
% 1.30/0.92 thf(zf_stmt_0, negated_conjecture, (( join @ sk1 @ top ) != ( top )),
% 1.30/0.92 inference('cnf.neg', [status(esa)], [goals_14])).
% 1.30/0.92 thf(zip_derived_cl13, plain, (((join @ sk1 @ top) != (top))),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.92 thf(maddux1_join_commutativity_1, axiom,
% 1.30/0.92 (( join @ A @ B ) = ( join @ B @ A ))).
% 1.30/0.92 thf(zip_derived_cl0, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.30/0.92 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 1.30/0.92 thf(zip_derived_cl16, plain, (((join @ top @ sk1) != (top))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 1.30/0.92 thf(zip_derived_cl0, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.30/0.92 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 1.30/0.92 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 1.30/0.92 thf(zip_derived_cl11, plain,
% 1.30/0.92 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.30/0.92 inference('cnf', [status(esa)], [def_top_12])).
% 1.30/0.92 thf(zip_derived_cl0, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.30/0.92 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 1.30/0.92 thf(zip_derived_cl11, plain,
% 1.30/0.92 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.30/0.92 inference('cnf', [status(esa)], [def_top_12])).
% 1.30/0.92 thf(zip_derived_cl11, plain,
% 1.30/0.92 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.30/0.92 inference('cnf', [status(esa)], [def_top_12])).
% 1.30/0.92 thf(maddux2_join_associativity_2, axiom,
% 1.30/0.92 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 1.30/0.92 thf(zip_derived_cl1, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.92 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 1.30/0.92 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 1.30/0.92 thf(zip_derived_cl31, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.30/0.92 thf(zip_derived_cl47, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ((join @ X0 @ (join @ (complement @ X0) @ (complement @ top))) = (top))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl31])).
% 1.30/0.92 thf(zip_derived_cl58, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ((join @ X0 @ (join @ (complement @ top) @ (complement @ X0))) = (top))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl47])).
% 1.30/0.92 thf(zip_derived_cl68, plain, (((join @ (complement @ top) @ top) = (top))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl58])).
% 1.30/0.92 thf(zip_derived_cl11, plain,
% 1.30/0.92 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.30/0.92 inference('cnf', [status(esa)], [def_top_12])).
% 1.30/0.92 thf(maddux4_definiton_of_meet_4, axiom,
% 1.30/0.92 (( meet @ A @ B ) =
% 1.30/0.92 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 1.30/0.92 thf(zip_derived_cl3, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ((meet @ X0 @ X1)
% 1.30/0.92 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 1.30/0.92 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 1.30/0.92 thf(zip_derived_cl85, plain,
% 1.30/0.92 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 1.30/0.92 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 1.30/0.92 thf(zip_derived_cl12, plain,
% 1.30/0.92 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 1.30/0.92 inference('cnf', [status(esa)], [def_zero_13])).
% 1.30/0.92 thf(zip_derived_cl88, plain, (((zero) = (complement @ top))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl12])).
% 1.30/0.92 thf(zip_derived_cl139, plain, (((join @ zero @ top) = (top))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl88])).
% 1.30/0.92 thf(zip_derived_cl1, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.92 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 1.30/0.92 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 1.30/0.92 thf(zip_derived_cl148, plain,
% 1.30/0.92 (![X0 : $i]: ((join @ zero @ (join @ top @ X0)) = (join @ top @ X0))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl1])).
% 1.30/0.92 thf(zip_derived_cl188, plain,
% 1.30/0.92 (![X0 : $i]: ((join @ zero @ (join @ X0 @ top)) = (join @ top @ X0))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl148])).
% 1.30/0.92 thf(zip_derived_cl11, plain,
% 1.30/0.92 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.30/0.92 inference('cnf', [status(esa)], [def_top_12])).
% 1.30/0.92 thf(zip_derived_cl11, plain,
% 1.30/0.92 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.30/0.92 inference('cnf', [status(esa)], [def_top_12])).
% 1.30/0.92 thf(zip_derived_cl1, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.92 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 1.30/0.92 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 1.30/0.92 thf(zip_derived_cl34, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ((join @ X1 @ (join @ (complement @ X1) @ X0)) = (join @ top @ X0))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.30/0.92 thf(zip_derived_cl571, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ((join @ X0 @ top) = (join @ top @ (complement @ (complement @ X0))))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl34])).
% 1.30/0.92 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 1.30/0.92 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 1.30/0.92 inference('cnf', [status(esa)], [composition_identity_6])).
% 1.30/0.92 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 1.30/0.92 thf(zip_derived_cl7, plain,
% 1.30/0.92 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 1.30/0.92 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 1.30/0.92 thf(converse_multiplicativity_10, axiom,
% 1.30/0.92 (( converse @ ( composition @ A @ B ) ) =
% 1.30/0.92 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 1.30/0.92 thf(zip_derived_cl9, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ((converse @ (composition @ X1 @ X0))
% 1.30/0.92 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 1.30/0.92 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 1.30/0.92 thf(zip_derived_cl21, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ((converse @ (composition @ (converse @ X0) @ X1))
% 1.30/0.92 = (composition @ (converse @ X1) @ X0))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 1.30/0.92 thf(zip_derived_cl372, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 1.30/0.92 thf(zip_derived_cl7, plain,
% 1.30/0.92 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 1.30/0.92 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 1.30/0.92 thf(zip_derived_cl379, plain,
% 1.30/0.92 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl7])).
% 1.30/0.92 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 1.30/0.92 inference('cnf', [status(esa)], [composition_identity_6])).
% 1.30/0.92 thf(composition_associativity_5, axiom,
% 1.30/0.92 (( composition @ A @ ( composition @ B @ C ) ) =
% 1.30/0.92 ( composition @ ( composition @ A @ B ) @ C ))).
% 1.30/0.92 thf(zip_derived_cl4, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.92 ((composition @ X0 @ (composition @ X1 @ X2))
% 1.30/0.92 = (composition @ (composition @ X0 @ X1) @ X2))),
% 1.30/0.92 inference('cnf', [status(esa)], [composition_associativity_5])).
% 1.30/0.92 thf(zip_derived_cl91, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ((composition @ X0 @ (composition @ one @ X1))
% 1.30/0.92 = (composition @ X0 @ X1))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.30/0.92 thf(zip_derived_cl401, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ((composition @ one @ X0) = (composition @ (converse @ one) @ X0))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl91])).
% 1.30/0.92 thf(zip_derived_cl379, plain,
% 1.30/0.92 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl7])).
% 1.30/0.92 thf(zip_derived_cl407, plain,
% 1.30/0.92 (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl401, zip_derived_cl379])).
% 1.30/0.92 thf(converse_cancellativity_11, axiom,
% 1.30/0.92 (( join @
% 1.30/0.92 ( composition @
% 1.30/0.92 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 1.30/0.92 ( complement @ B ) ) =
% 1.30/0.92 ( complement @ B ))).
% 1.30/0.92 thf(zip_derived_cl10, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ((join @
% 1.30/0.92 (composition @ (converse @ X1) @
% 1.30/0.92 (complement @ (composition @ X1 @ X0))) @
% 1.30/0.92 (complement @ X0)) = (complement @ X0))),
% 1.30/0.92 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 1.30/0.92 thf(zip_derived_cl427, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 1.30/0.92 (complement @ X0)) = (complement @ X0))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl10])).
% 1.30/0.92 thf(zip_derived_cl379, plain,
% 1.30/0.92 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl7])).
% 1.30/0.92 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 1.30/0.92 inference('cnf', [status(esa)], [composition_identity_6])).
% 1.30/0.92 thf(zip_derived_cl402, plain, (((one) = (converse @ one))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl5])).
% 1.30/0.92 thf(zip_derived_cl407, plain,
% 1.30/0.92 (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl401, zip_derived_cl379])).
% 1.30/0.92 thf(zip_derived_cl428, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 1.30/0.92 inference('demod', [status(thm)],
% 1.30/0.92 [zip_derived_cl427, zip_derived_cl402, zip_derived_cl407])).
% 1.30/0.92 thf(zip_derived_cl31, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.30/0.92 thf(zip_derived_cl606, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ((join @ (complement @ X0) @
% 1.30/0.92 (join @ (complement @ X0) @ (complement @ (complement @ X0))))
% 1.30/0.92 = (top))),
% 1.30/0.92 inference('sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl31])).
% 1.30/0.92 thf(zip_derived_cl11, plain,
% 1.30/0.92 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.30/0.92 inference('cnf', [status(esa)], [def_top_12])).
% 1.30/0.92 thf(zip_derived_cl0, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.30/0.92 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 1.30/0.92 thf(zip_derived_cl626, plain,
% 1.30/0.92 (![X0 : $i]: ((join @ top @ (complement @ X0)) = (top))),
% 1.30/0.92 inference('demod', [status(thm)],
% 1.30/0.92 [zip_derived_cl606, zip_derived_cl11, zip_derived_cl0])).
% 1.30/0.92 thf(zip_derived_cl646, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl571, zip_derived_cl626])).
% 1.30/0.92 thf(zip_derived_cl646, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl571, zip_derived_cl626])).
% 1.30/0.92 thf(zip_derived_cl666, plain, (![X0 : $i]: ((top) = (join @ top @ X0))),
% 1.30/0.92 inference('demod', [status(thm)],
% 1.30/0.92 [zip_derived_cl188, zip_derived_cl646, zip_derived_cl646])).
% 1.30/0.92 thf(zip_derived_cl684, plain, (((top) != (top))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl666])).
% 1.30/0.92 thf(zip_derived_cl685, plain, ($false),
% 1.30/0.92 inference('simplify', [status(thm)], [zip_derived_cl684])).
% 1.30/0.92
% 1.30/0.92 % SZS output end Refutation
% 1.30/0.92
% 1.30/0.92
% 1.30/0.92 % Terminating...
% 1.81/1.01 % Runner terminated.
% 1.81/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------