%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1JQsRg639U true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:12 PM UTC 2026
% Result : Unsatisfiable 0.48s 0.90s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1JQsRg639U true
% 0.09/0.36 % Computer : n028.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 19:52:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Running portfolio for 300 s
% 0.09/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Number of cores: 8
% 0.09/0.36 % Python version: Python 3.12.3
% 0.09/0.37 % Running in FO mode
% 0.45/0.64 % Total configuration time : 435
% 0.45/0.64 % Estimated wc time : 1092
% 0.45/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.90 % Solved by fo/fo5.sh.
% 0.48/0.90 % done 85 iterations in 0.078s
% 0.48/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.90 % SZS output start Refutation
% 0.48/0.90 thf(y_type, type, y: $i).
% 0.48/0.90 thf(x_type, type, x: $i).
% 0.48/0.90 thf(big_V_type, type, big_V: $i > $i > $i).
% 0.48/0.90 thf(truth_type, type, truth: $i).
% 0.48/0.90 thf(implies_type, type, implies: $i > $i > $i).
% 0.48/0.90 thf(ordered_type, type, ordered: $i > $i > $o).
% 0.48/0.90 thf(prove_mv_4, conjecture,
% 0.48/0.90 (( big_V @ ( implies @ x @ y ) @ ( implies @ y @ x ) ) = ( truth ))).
% 0.48/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.90 (( big_V @ ( implies @ x @ y ) @ ( implies @ y @ x ) ) != ( truth )),
% 0.48/0.90 inference('cnf.neg', [status(esa)], [prove_mv_4])).
% 0.48/0.90 thf(zip_derived_cl16, plain,
% 0.48/0.90 (((big_V @ (implies @ x @ y) @ (implies @ y @ x)) != (truth))),
% 0.48/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.90 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(partial_order_definition2, axiom,
% 0.48/0.90 (( ( implies @ X @ Y ) != ( truth ) ) | ( ordered @ X @ Y ))).
% 0.48/0.90 thf(zip_derived_cl7, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 (((implies @ X0 @ X1) != (truth)) | (ordered @ X0 @ X1))),
% 0.48/0.90 inference('cnf', [status(esa)], [partial_order_definition2])).
% 0.48/0.90 thf(zip_derived_cl17, plain,
% 0.48/0.90 (![X0 : $i]: (((X0) != (truth)) | (ordered @ truth @ X0))),
% 0.48/0.90 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 0.48/0.90 thf(zip_derived_cl62, plain, ( (ordered @ truth @ truth)),
% 0.48/0.90 inference('eq_res', [status(thm)], [zip_derived_cl17])).
% 0.48/0.90 thf(lemma_1, axiom,
% 0.48/0.90 (( ~( ordered @ X @ Y ) ) |
% 0.48/0.90 ( ordered @ ( implies @ X @ Z ) @ ( implies @ Y @ Z ) ))).
% 0.48/0.90 thf(zip_derived_cl8, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.90 (~ (ordered @ X0 @ X1)
% 0.48/0.90 | (ordered @ (implies @ X0 @ X2) @ (implies @ X1 @ X2)))),
% 0.48/0.90 inference('cnf', [status(esa)], [lemma_1])).
% 0.48/0.90 thf(zip_derived_cl64, plain,
% 0.48/0.90 (![X0 : $i]: (ordered @ (implies @ truth @ X0) @ (implies @ truth @ X0))),
% 0.48/0.90 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl8])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl66, plain, (![X0 : $i]: (ordered @ X0 @ X0)),
% 0.48/0.90 inference('demod', [status(thm)],
% 0.48/0.90 [zip_derived_cl64, zip_derived_cl0, zip_derived_cl0])).
% 0.48/0.90 thf(partial_order_definition1, axiom,
% 0.48/0.90 (( ~( ordered @ X @ Y ) ) | ( ( implies @ X @ Y ) = ( truth ) ))).
% 0.48/0.90 thf(zip_derived_cl6, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 (~ (ordered @ X0 @ X1) | ((implies @ X0 @ X1) = (truth)))),
% 0.48/0.90 inference('cnf', [status(esa)], [partial_order_definition1])).
% 0.48/0.90 thf(zip_derived_cl70, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 0.48/0.90 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl6])).
% 0.48/0.90 thf(wajsberg_3, axiom,
% 0.48/0.90 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 0.48/0.90 ( implies @ ( implies @ Y @ X ) @ X ))).
% 0.48/0.90 thf(zip_derived_cl2, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.48/0.90 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.48/0.90 thf(big_V_definition, axiom,
% 0.48/0.90 (( big_V @ X @ Y ) = ( implies @ ( implies @ X @ Y ) @ Y ))).
% 0.48/0.90 thf(zip_derived_cl4, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 ((big_V @ X0 @ X1) = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.48/0.90 inference('cnf', [status(esa)], [big_V_definition])).
% 0.48/0.90 thf(zip_derived_cl4, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 ((big_V @ X0 @ X1) = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.48/0.90 inference('cnf', [status(esa)], [big_V_definition])).
% 0.48/0.90 thf(zip_derived_cl93, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]: ((big_V @ X1 @ X0) = (big_V @ X0 @ X1))),
% 0.48/0.90 inference('demod', [status(thm)],
% 0.48/0.90 [zip_derived_cl2, zip_derived_cl4, zip_derived_cl4])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl4, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 ((big_V @ X0 @ X1) = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.48/0.90 inference('cnf', [status(esa)], [big_V_definition])).
% 0.48/0.90 thf(zip_derived_cl21, plain,
% 0.48/0.90 (![X0 : $i]: ((big_V @ truth @ X0) = (implies @ X0 @ X0))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.48/0.90 thf(zip_derived_cl70, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 0.48/0.90 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl6])).
% 0.48/0.90 thf(zip_derived_cl73, plain, (![X0 : $i]: ((big_V @ truth @ X0) = (truth))),
% 0.48/0.90 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl70])).
% 0.48/0.90 thf(zip_derived_cl129, plain, (![X0 : $i]: ((big_V @ X0 @ truth) = (truth))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl73])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(wajsberg_2, axiom,
% 0.48/0.90 (( implies @
% 0.48/0.90 ( implies @ X @ Y ) @
% 0.48/0.90 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 0.48/0.90 ( truth ))).
% 0.48/0.90 thf(zip_derived_cl1, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.90 ((implies @ (implies @ X0 @ X1) @
% 0.48/0.90 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.48/0.90 thf(zip_derived_cl41, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 ((implies @ (implies @ truth @ X1) @
% 0.48/0.90 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl4, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 ((big_V @ X0 @ X1) = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.48/0.90 inference('cnf', [status(esa)], [big_V_definition])).
% 0.48/0.90 thf(zip_derived_cl54, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]: ((implies @ X1 @ (big_V @ X1 @ X0)) = (truth))),
% 0.48/0.90 inference('demod', [status(thm)],
% 0.48/0.90 [zip_derived_cl41, zip_derived_cl0, zip_derived_cl4])).
% 0.48/0.90 thf(zip_derived_cl151, plain,
% 0.48/0.90 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl54])).
% 0.48/0.90 thf(zip_derived_cl7, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 (((implies @ X0 @ X1) != (truth)) | (ordered @ X0 @ X1))),
% 0.48/0.90 inference('cnf', [status(esa)], [partial_order_definition2])).
% 0.48/0.90 thf(zip_derived_cl201, plain,
% 0.48/0.90 (![X0 : $i]: (((truth) != (truth)) | (ordered @ X0 @ truth))),
% 0.48/0.90 inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl7])).
% 0.48/0.90 thf(zip_derived_cl213, plain, (![X0 : $i]: (ordered @ X0 @ truth)),
% 0.48/0.90 inference('simplify', [status(thm)], [zip_derived_cl201])).
% 0.48/0.90 thf(zip_derived_cl8, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.90 (~ (ordered @ X0 @ X1)
% 0.48/0.90 | (ordered @ (implies @ X0 @ X2) @ (implies @ X1 @ X2)))),
% 0.48/0.90 inference('cnf', [status(esa)], [lemma_1])).
% 0.48/0.90 thf(zip_derived_cl220, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 (ordered @ (implies @ X0 @ X1) @ (implies @ truth @ X1))),
% 0.48/0.90 inference('sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl8])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl222, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]: (ordered @ (implies @ X0 @ X1) @ X1)),
% 0.48/0.90 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl0])).
% 0.48/0.90 thf(zip_derived_cl373, plain, (![X0 : $i]: (ordered @ truth @ X0)),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl222])).
% 0.48/0.90 thf(zip_derived_cl6, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 (~ (ordered @ X0 @ X1) | ((implies @ X0 @ X1) = (truth)))),
% 0.48/0.90 inference('cnf', [status(esa)], [partial_order_definition1])).
% 0.48/0.90 thf(zip_derived_cl382, plain,
% 0.48/0.90 (![X0 : $i]: ((implies @ truth @ X0) = (truth))),
% 0.48/0.90 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl6])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl402, plain, (![X0 : $i]: ((truth) = (X0))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl0])).
% 0.48/0.90 thf(zip_derived_cl402, plain, (![X0 : $i]: ((truth) = (X0))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl0])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl402, plain, (![X0 : $i]: ((truth) = (X0))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl0])).
% 0.48/0.90 thf(zip_derived_cl402, plain, (![X0 : $i]: ((truth) = (X0))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl0])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl70, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 0.48/0.90 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl6])).
% 0.48/0.90 thf(zip_derived_cl4, plain,
% 0.48/0.90 (![X0 : $i, X1 : $i]:
% 0.48/0.90 ((big_V @ X0 @ X1) = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.48/0.90 inference('cnf', [status(esa)], [big_V_definition])).
% 0.48/0.90 thf(zip_derived_cl75, plain,
% 0.48/0.90 (![X0 : $i]: ((big_V @ X0 @ X0) = (implies @ truth @ X0))),
% 0.48/0.90 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl4])).
% 0.48/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.90 thf(zip_derived_cl81, plain, (![X0 : $i]: ((big_V @ X0 @ X0) = (X0))),
% 0.48/0.90 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 0.48/0.90 thf(zip_derived_cl424, plain, (((truth) != (truth))),
% 0.48/0.90 inference('demod', [status(thm)],
% 0.48/0.90 [zip_derived_cl16, zip_derived_cl402, zip_derived_cl402,
% 0.48/0.90 zip_derived_cl0, zip_derived_cl402, zip_derived_cl402,
% 0.48/0.90 zip_derived_cl0, zip_derived_cl81])).
% 0.48/0.90 thf(zip_derived_cl425, plain, ($false),
% 0.48/0.90 inference('simplify', [status(thm)], [zip_derived_cl424])).
% 0.48/0.90
% 0.48/0.90 % SZS output end Refutation
% 0.48/0.90
% 0.48/0.90
% 0.48/0.90 % Terminating...
% 0.48/0.94 % Runner terminated.
% 0.48/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------