%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL145-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MDAI9tPBQo true
% Computer : n020.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 01:35:17 PM UTC 2026
% Result : Unsatisfiable 4.14s 1.18s
% Output : Refutation 4.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL145-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MDAI9tPBQo true
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 15:01:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.39 % Running in FO mode
% 0.38/0.61 % Total configuration time : 435
% 0.38/0.61 % Estimated wc time : 1092
% 0.38/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.14/1.18 % Solved by fo/fo3_bce.sh.
% 4.14/1.18 % BCE start: 9
% 4.14/1.18 % BCE eliminated: 2
% 4.14/1.18 % PE start: 7
% 4.14/1.18 logic: eq
% 4.14/1.18 % PE eliminated: 0
% 4.14/1.18 % done 196 iterations in 0.404s
% 4.14/1.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.14/1.18 % SZS output start Refutation
% 4.14/1.18 thf(x_type, type, x: $i).
% 4.14/1.18 thf(y_type, type, y: $i).
% 4.14/1.18 thf(big_hat_type, type, big_hat: $i > $i > $i).
% 4.14/1.18 thf(big_V_type, type, big_V: $i > $i > $i).
% 4.14/1.18 thf(truth_type, type, truth: $i).
% 4.14/1.18 thf(implies_type, type, implies: $i > $i > $i).
% 4.14/1.18 thf(not_type, type, not: $i > $i).
% 4.14/1.18 thf(prove_wajsberg_theorem, conjecture,
% 4.14/1.18 (( not @ ( big_V @ x @ y ) ) = ( big_hat @ ( not @ x ) @ ( not @ y ) ))).
% 4.14/1.18 thf(zf_stmt_0, negated_conjecture,
% 4.14/1.18 (( not @ ( big_V @ x @ y ) ) != ( big_hat @ ( not @ x ) @ ( not @ y ) )),
% 4.14/1.18 inference('cnf.neg', [status(esa)], [prove_wajsberg_theorem])).
% 4.14/1.18 thf(zip_derived_cl8, plain,
% 4.14/1.18 (((not @ (big_V @ x @ y)) != (big_hat @ (not @ x) @ (not @ y)))),
% 4.14/1.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.14/1.18 thf(big_hat_definition, axiom,
% 4.14/1.18 (( big_hat @ X @ Y ) = ( not @ ( big_V @ ( not @ X ) @ ( not @ Y ) ) ))).
% 4.14/1.18 thf(zip_derived_cl5, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((big_hat @ X0 @ X1) = (not @ (big_V @ (not @ X0) @ (not @ X1))))),
% 4.14/1.18 inference('cnf', [status(esa)], [big_hat_definition])).
% 4.14/1.18 thf(zip_derived_cl11, plain,
% 4.14/1.18 (((not @ (big_V @ x @ y))
% 4.14/1.18 != (not @ (big_V @ (not @ (not @ x)) @ (not @ (not @ y)))))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 4.14/1.18 thf(big_V_definition, axiom,
% 4.14/1.18 (( big_V @ X @ Y ) = ( implies @ ( implies @ X @ Y ) @ Y ))).
% 4.14/1.18 thf(zip_derived_cl4, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((big_V @ X0 @ X1) = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [big_V_definition])).
% 4.14/1.18 thf(zip_derived_cl4, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((big_V @ X0 @ X1) = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [big_V_definition])).
% 4.14/1.18 thf(zip_derived_cl13, plain,
% 4.14/1.18 (((not @ (implies @ (implies @ x @ y) @ y))
% 4.14/1.18 != (not @
% 4.14/1.18 (implies @ (implies @ (not @ (not @ x)) @ (not @ (not @ y))) @
% 4.14/1.18 (not @ (not @ y)))))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl11, zip_derived_cl4, zip_derived_cl4])).
% 4.14/1.18 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(wajsberg_4, axiom,
% 4.14/1.18 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 4.14/1.18 ( truth ))).
% 4.14/1.18 thf(zip_derived_cl3, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_4])).
% 4.14/1.18 thf(zip_derived_cl60, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 4.14/1.18 thf(wajsberg_3, axiom,
% 4.14/1.18 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 4.14/1.18 ( implies @ ( implies @ Y @ X ) @ X ))).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl210, plain,
% 4.14/1.18 (((implies @ (implies @ (not @ truth) @ (not @ (not @ truth))) @
% 4.14/1.18 (not @ (not @ truth))) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl394, plain,
% 4.14/1.18 (((implies @
% 4.14/1.18 (implies @ (not @ (not @ truth)) @
% 4.14/1.18 (implies @ (not @ truth) @ (not @ (not @ truth)))) @
% 4.14/1.18 (implies @ (not @ truth) @ (not @ (not @ truth))))
% 4.14/1.18 = (implies @ truth @ (not @ (not @ truth))))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl42, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(wajsberg_2, axiom,
% 4.14/1.18 (( implies @
% 4.14/1.18 ( implies @ X @ Y ) @
% 4.14/1.18 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 4.14/1.18 ( truth ))).
% 4.14/1.18 thf(zip_derived_cl1, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.14/1.18 ((implies @ (implies @ X0 @ X1) @
% 4.14/1.18 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_2])).
% 4.14/1.18 thf(zip_derived_cl20, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ truth @ X1) @
% 4.14/1.18 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl25, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl234, plain,
% 4.14/1.18 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl265, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl266, plain,
% 4.14/1.18 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl265])).
% 4.14/1.18 thf(zip_derived_cl25, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl309, plain,
% 4.14/1.18 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl25])).
% 4.14/1.18 thf(zip_derived_cl1, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.14/1.18 ((implies @ (implies @ X0 @ X1) @
% 4.14/1.18 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_2])).
% 4.14/1.18 thf(zip_derived_cl333, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ truth @
% 4.14/1.18 (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 4.14/1.18 truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl309, zip_derived_cl1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl348, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl333, zip_derived_cl0, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl406, plain,
% 4.14/1.18 (((implies @ (not @ truth) @ (not @ (not @ truth)))
% 4.14/1.18 = (not @ (not @ truth)))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl394, zip_derived_cl348, zip_derived_cl0,
% 4.14/1.18 zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl3, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_4])).
% 4.14/1.18 thf(zip_derived_cl419, plain,
% 4.14/1.18 (((implies @
% 4.14/1.18 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth))) @
% 4.14/1.18 (not @ (not @ truth))) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl3])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl433, plain,
% 4.14/1.18 (((implies @
% 4.14/1.18 (implies @ (not @ (not @ truth)) @
% 4.14/1.18 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth)))) @
% 4.14/1.18 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth))))
% 4.14/1.18 = (implies @ truth @ (not @ (not @ truth))))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl419, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl348, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl333, zip_derived_cl0, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl447, plain,
% 4.14/1.18 (((implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth)))
% 4.14/1.18 = (not @ (not @ truth)))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl433, zip_derived_cl348, zip_derived_cl0,
% 4.14/1.18 zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl540, plain,
% 4.14/1.18 (((implies @
% 4.14/1.18 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))) @
% 4.14/1.18 (not @ (not @ (not @ truth))))
% 4.14/1.18 = (implies @ (not @ (not @ truth)) @ (not @ (not @ truth))))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl447, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl265, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl553, plain,
% 4.14/1.18 (((implies @
% 4.14/1.18 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))) @
% 4.14/1.18 (not @ (not @ (not @ truth)))) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl540, zip_derived_cl265])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl562, plain,
% 4.14/1.18 (((implies @
% 4.14/1.18 (implies @ (not @ (not @ (not @ truth))) @
% 4.14/1.18 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth))))) @
% 4.14/1.18 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))
% 4.14/1.18 = (implies @ truth @ (not @ (not @ (not @ truth)))))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl553, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl348, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl333, zip_derived_cl0, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl576, plain,
% 4.14/1.18 (((implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth))))
% 4.14/1.18 = (not @ (not @ (not @ truth))))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl562, zip_derived_cl348, zip_derived_cl0,
% 4.14/1.18 zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl3, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_4])).
% 4.14/1.18 thf(zip_derived_cl598, plain,
% 4.14/1.18 (((implies @ (not @ (not @ (not @ truth))) @
% 4.14/1.18 (implies @ (not @ (not @ truth)) @ (not @ truth))) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl576, zip_derived_cl3])).
% 4.14/1.18 thf(zip_derived_cl406, plain,
% 4.14/1.18 (((implies @ (not @ truth) @ (not @ (not @ truth)))
% 4.14/1.18 = (not @ (not @ truth)))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl394, zip_derived_cl348, zip_derived_cl0,
% 4.14/1.18 zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl30, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ (implies @ X0 @ X1)) @ (implies @ X0 @ X1))
% 4.14/1.18 = (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl348, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl333, zip_derived_cl0, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl1205, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ X0 @ X1)
% 4.14/1.18 = (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl30, zip_derived_cl348, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl1265, plain,
% 4.14/1.18 (((implies @ (not @ (not @ truth)) @ (not @ truth))
% 4.14/1.18 = (implies @
% 4.14/1.18 (implies @ (not @ (not @ truth)) @ (not @ (not @ truth))) @
% 4.14/1.18 (not @ truth)))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl1205])).
% 4.14/1.18 thf(zip_derived_cl265, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl1289, plain,
% 4.14/1.18 (((implies @ (not @ (not @ truth)) @ (not @ truth)) = (not @ truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1265, zip_derived_cl265, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl1306, plain,
% 4.14/1.18 (((implies @ (not @ (not @ (not @ truth))) @ (not @ truth)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl598, zip_derived_cl1289])).
% 4.14/1.18 thf(zip_derived_cl3, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_4])).
% 4.14/1.18 thf(zip_derived_cl1363, plain,
% 4.14/1.18 (((implies @ truth @ (implies @ truth @ (not @ (not @ truth)))) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl1306, zip_derived_cl3])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl1382, plain, (((not @ (not @ truth)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1363, zip_derived_cl0, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl3, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_4])).
% 4.14/1.18 thf(zip_derived_cl1391, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ truth) @
% 4.14/1.18 (implies @ (not @ truth) @ X0)) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl1382, zip_derived_cl3])).
% 4.14/1.18 thf(zip_derived_cl309, plain,
% 4.14/1.18 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl25])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl1394, plain,
% 4.14/1.18 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1391, zip_derived_cl309, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl1601, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth))
% 4.14/1.18 = (implies @ truth @ X0))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl1394, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl1632, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth)) = (X0))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl1601, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl60, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl1, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.14/1.18 ((implies @ (implies @ X0 @ X1) @
% 4.14/1.18 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_2])).
% 4.14/1.18 thf(zip_derived_cl32, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.14/1.18 ((implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 4.14/1.18 (implies @ (implies @ X2 @ X1) @
% 4.14/1.18 (implies @ (implies @ X1 @ X0) @ X0)))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 4.14/1.18 thf(zip_derived_cl1756, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ truth @
% 4.14/1.18 (implies @ (implies @ X0 @ (not @ truth)) @
% 4.14/1.18 (implies @ (implies @ (not @ truth) @ (not @ X0)) @ (not @ X0))))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl32])).
% 4.14/1.18 thf(zip_derived_cl1394, plain,
% 4.14/1.18 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1391, zip_derived_cl309, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl1831, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ X0)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1756, zip_derived_cl1394, zip_derived_cl0,
% 4.14/1.18 zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl2, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ X1 @ X0) @ X0)
% 4.14/1.18 = (implies @ (implies @ X0 @ X1) @ X1))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_3])).
% 4.14/1.18 thf(zip_derived_cl2226, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (implies @ X0 @ (not @ truth))) @
% 4.14/1.18 (implies @ X0 @ (not @ truth))) = (implies @ truth @ (not @ X0)))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl1831, zip_derived_cl2])).
% 4.14/1.18 thf(zip_derived_cl1382, plain, (((not @ (not @ truth)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1363, zip_derived_cl0, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl3, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_4])).
% 4.14/1.18 thf(zip_derived_cl1389, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (implies @ truth @ (not @ X0)) @
% 4.14/1.18 (implies @ X0 @ (not @ truth))) = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl1382, zip_derived_cl3])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl1392, plain,
% 4.14/1.18 (![X0 : $i]:
% 4.14/1.18 ((implies @ (not @ X0) @ (implies @ X0 @ (not @ truth))) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl1389, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl1, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.14/1.18 ((implies @ (implies @ X0 @ X1) @
% 4.14/1.18 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_2])).
% 4.14/1.18 thf(zip_derived_cl1, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.14/1.18 ((implies @ (implies @ X0 @ X1) @
% 4.14/1.18 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_2])).
% 4.14/1.18 thf(zip_derived_cl21, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.14/1.18 ((implies @ (implies @ X3 @ (implies @ X1 @ X2)) @
% 4.14/1.18 (implies @ truth @
% 4.14/1.18 (implies @ X3 @
% 4.14/1.18 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl26, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.14/1.18 ((implies @ (implies @ X3 @ (implies @ X1 @ X2)) @
% 4.14/1.18 (implies @ X3 @
% 4.14/1.18 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl1908, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ truth @
% 4.14/1.18 (implies @ (not @ X1) @
% 4.14/1.18 (implies @ (implies @ (not @ truth) @ X0) @ (implies @ X1 @ X0))))
% 4.14/1.18 = (truth))),
% 4.14/1.18 inference('sup+', [status(thm)], [zip_derived_cl1392, zip_derived_cl26])).
% 4.14/1.18 thf(zip_derived_cl1394, plain,
% 4.14/1.18 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1391, zip_derived_cl309, zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl1948, plain,
% 4.14/1.18 (![X0 : $i, X1 : $i]:
% 4.14/1.18 ((implies @ (not @ X1) @ (implies @ X1 @ X0)) = (truth))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1908, zip_derived_cl1394, zip_derived_cl0,
% 4.14/1.18 zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 4.14/1.18 inference('cnf', [status(esa)], [wajsberg_1])).
% 4.14/1.18 thf(zip_derived_cl2285, plain,
% 4.14/1.18 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl2226, zip_derived_cl1948, zip_derived_cl0,
% 4.14/1.18 zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl2285, plain,
% 4.14/1.18 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl2226, zip_derived_cl1948, zip_derived_cl0,
% 4.14/1.18 zip_derived_cl0])).
% 4.14/1.18 thf(zip_derived_cl2320, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1632, zip_derived_cl2285, zip_derived_cl2285])).
% 4.14/1.18 thf(zip_derived_cl2320, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1632, zip_derived_cl2285, zip_derived_cl2285])).
% 4.14/1.18 thf(zip_derived_cl2320, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl1632, zip_derived_cl2285, zip_derived_cl2285])).
% 4.14/1.18 thf(zip_derived_cl2409, plain,
% 4.14/1.18 (((not @ (implies @ (implies @ x @ y) @ y))
% 4.14/1.18 != (not @ (implies @ (implies @ x @ y) @ y)))),
% 4.14/1.18 inference('demod', [status(thm)],
% 4.14/1.18 [zip_derived_cl13, zip_derived_cl2320, zip_derived_cl2320,
% 4.14/1.18 zip_derived_cl2320])).
% 4.14/1.18 thf(zip_derived_cl2410, plain, ($false),
% 4.14/1.18 inference('simplify', [status(thm)], [zip_derived_cl2409])).
% 4.14/1.18
% 4.14/1.18 % SZS output end Refutation
% 4.14/1.18
% 4.14/1.18
% 4.14/1.19 % Terminating...
% 4.14/1.19 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.04/1.27 % Runner terminated.
% 1.83/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------