TSTP Solution File: LCL140-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL140-1 : 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.D1wh035sxy true
% Computer : n022.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 08:58:22 EDT 2023
% Result : Unsatisfiable 1.33s 0.88s
% Output : Refutation 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL140-1 : 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.D1wh035sxy true
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 00:25:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /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
% 1.33/0.88 % Solved by fo/fo3_bce.sh.
% 1.33/0.88 % BCE start: 5
% 1.33/0.88 % BCE eliminated: 0
% 1.33/0.88 % PE start: 5
% 1.33/0.88 logic: eq
% 1.33/0.88 % PE eliminated: 0
% 1.33/0.88 % done 188 iterations in 0.133s
% 1.33/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.88 % SZS output start Refutation
% 1.33/0.88 thf(truth_type, type, truth: $i).
% 1.33/0.88 thf(implies_type, type, implies: $i > $i > $i).
% 1.33/0.88 thf(x_type, type, x: $i).
% 1.33/0.88 thf(not_type, type, not: $i > $i).
% 1.33/0.88 thf(prove_wajsberg_lemma, conjecture, (( not @ ( not @ x ) ) = ( x ))).
% 1.33/0.88 thf(zf_stmt_0, negated_conjecture, (( not @ ( not @ x ) ) != ( x )),
% 1.33/0.88 inference('cnf.neg', [status(esa)], [prove_wajsberg_lemma])).
% 1.33/0.88 thf(zip_derived_cl4, plain, (((not @ (not @ x)) != (x))),
% 1.33/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.33/0.88 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(wajsberg_4, axiom,
% 1.33/0.88 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 1.33/0.88 ( truth ))).
% 1.33/0.88 thf(zip_derived_cl3, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 1.33/0.88 = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_4])).
% 1.33/0.88 thf(zip_derived_cl94, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.33/0.88 thf(wajsberg_3, axiom,
% 1.33/0.88 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 1.33/0.88 ( implies @ ( implies @ Y @ X ) @ X ))).
% 1.33/0.88 thf(zip_derived_cl2, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.33/0.88 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.33/0.88 thf(zip_derived_cl2, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.33/0.88 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.33/0.88 thf(zip_derived_cl5, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ X1 @ (implies @ X0 @ X1)) @ (implies @ X0 @ X1))
% 1.33/0.88 = (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl2, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.33/0.88 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.33/0.88 thf(zip_derived_cl11, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(wajsberg_2, axiom,
% 1.33/0.88 (( implies @
% 1.33/0.88 ( implies @ X @ Y ) @
% 1.33/0.88 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 1.33/0.88 ( truth ))).
% 1.33/0.88 thf(zip_derived_cl1, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.88 ((implies @ (implies @ X0 @ X1) @
% 1.33/0.88 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.33/0.88 thf(zip_derived_cl42, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ truth @ X1) @
% 1.33/0.88 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl53, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl65, plain,
% 1.33/0.88 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl79, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl99, plain,
% 1.33/0.88 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl79])).
% 1.33/0.88 thf(zip_derived_cl53, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl128, plain,
% 1.33/0.88 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl53])).
% 1.33/0.88 thf(zip_derived_cl1, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.88 ((implies @ (implies @ X0 @ X1) @
% 1.33/0.88 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.33/0.88 thf(zip_derived_cl144, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ truth @
% 1.33/0.88 (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 1.33/0.88 truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl154, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl144, zip_derived_cl0, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl181, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ X0 @ X1)
% 1.33/0.88 = (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl5, zip_derived_cl154, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl243, plain,
% 1.33/0.88 (((implies @ (not @ truth) @ (not @ (not @ truth)))
% 1.33/0.88 = (implies @ truth @ (not @ (not @ truth))))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl181])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl252, plain,
% 1.33/0.88 (((implies @ (not @ truth) @ (not @ (not @ truth)))
% 1.33/0.88 = (not @ (not @ truth)))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl181, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ X0 @ X1)
% 1.33/0.88 = (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl5, zip_derived_cl154, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl260, plain,
% 1.33/0.88 (((implies @ (not @ (not @ truth)) @ (not @ truth))
% 1.33/0.88 = (implies @
% 1.33/0.88 (implies @ (not @ (not @ truth)) @ (not @ (not @ truth))) @
% 1.33/0.88 (not @ truth)))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl181])).
% 1.33/0.88 thf(zip_derived_cl79, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl264, plain,
% 1.33/0.88 (((implies @ (not @ (not @ truth)) @ (not @ truth)) = (not @ truth))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl260, zip_derived_cl79, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl3, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 1.33/0.88 = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_4])).
% 1.33/0.88 thf(zip_derived_cl271, plain,
% 1.33/0.88 (((implies @
% 1.33/0.88 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))) @
% 1.33/0.88 (not @ truth)) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl3])).
% 1.33/0.88 thf(zip_derived_cl252, plain,
% 1.33/0.88 (((implies @ (not @ truth) @ (not @ (not @ truth)))
% 1.33/0.88 = (not @ (not @ truth)))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl3, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 1.33/0.88 = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_4])).
% 1.33/0.88 thf(zip_derived_cl257, plain,
% 1.33/0.88 (((implies @
% 1.33/0.88 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth))) @
% 1.33/0.88 (not @ (not @ truth))) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl3])).
% 1.33/0.88 thf(zip_derived_cl181, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ X0 @ X1)
% 1.33/0.88 = (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl5, zip_derived_cl154, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl379, plain,
% 1.33/0.88 (((implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth))))
% 1.33/0.88 = (implies @ truth @ (not @ (not @ (not @ truth)))))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl181])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl388, plain,
% 1.33/0.88 (((implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth))))
% 1.33/0.88 = (not @ (not @ (not @ truth))))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl379, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl410, plain,
% 1.33/0.88 (((implies @ (not @ (not @ (not @ truth))) @ (not @ truth)) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl388])).
% 1.33/0.88 thf(zip_derived_cl3, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 1.33/0.88 = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_4])).
% 1.33/0.88 thf(zip_derived_cl435, plain,
% 1.33/0.88 (((implies @ truth @ (implies @ truth @ (not @ (not @ truth)))) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl410, zip_derived_cl3])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl444, plain, (((not @ (not @ truth)) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl435, zip_derived_cl0, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl3, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 1.33/0.88 = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_4])).
% 1.33/0.88 thf(zip_derived_cl453, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ truth) @
% 1.33/0.88 (implies @ (not @ truth) @ X0)) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl444, zip_derived_cl3])).
% 1.33/0.88 thf(zip_derived_cl128, plain,
% 1.33/0.88 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl53])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl456, plain,
% 1.33/0.88 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl453, zip_derived_cl128, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl2, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.33/0.88 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.33/0.88 thf(zip_derived_cl458, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth))
% 1.33/0.88 = (implies @ truth @ X0))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl456, zip_derived_cl2])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl470, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth)) = (X0))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl458, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl94, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.33/0.88 thf(zip_derived_cl2, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.33/0.88 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.33/0.88 thf(zip_derived_cl1, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.88 ((implies @ (implies @ X0 @ X1) @
% 1.33/0.88 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.33/0.88 thf(zip_derived_cl38, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.88 ((implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 1.33/0.88 (implies @ (implies @ X2 @ X1) @
% 1.33/0.88 (implies @ (implies @ X1 @ X0) @ X0)))
% 1.33/0.88 = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.33/0.88 thf(zip_derived_cl1307, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ truth @
% 1.33/0.88 (implies @ (implies @ X0 @ (not @ truth)) @
% 1.33/0.88 (implies @ (implies @ (not @ truth) @ (not @ X0)) @ (not @ X0))))
% 1.33/0.88 = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl38])).
% 1.33/0.88 thf(zip_derived_cl456, plain,
% 1.33/0.88 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl453, zip_derived_cl128, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl1398, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ X0)) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl1307, zip_derived_cl456, zip_derived_cl0,
% 1.33/0.88 zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl2, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.33/0.88 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.33/0.88 thf(zip_derived_cl1444, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (implies @ X0 @ (not @ truth))) @
% 1.33/0.88 (implies @ X0 @ (not @ truth))) = (implies @ truth @ (not @ X0)))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl1398, zip_derived_cl2])).
% 1.33/0.88 thf(zip_derived_cl444, plain, (((not @ (not @ truth)) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl435, zip_derived_cl0, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl3, plain,
% 1.33/0.88 (![X0 : $i, X1 : $i]:
% 1.33/0.88 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 1.33/0.88 = (truth))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_4])).
% 1.33/0.88 thf(zip_derived_cl451, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (implies @ truth @ (not @ X0)) @
% 1.33/0.88 (implies @ X0 @ (not @ truth))) = (truth))),
% 1.33/0.88 inference('sup+', [status(thm)], [zip_derived_cl444, zip_derived_cl3])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl454, plain,
% 1.33/0.88 (![X0 : $i]:
% 1.33/0.88 ((implies @ (not @ X0) @ (implies @ X0 @ (not @ truth))) = (truth))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.33/0.88 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.33/0.88 thf(zip_derived_cl1501, plain,
% 1.33/0.88 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl1444, zip_derived_cl454, zip_derived_cl0,
% 1.33/0.88 zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl1501, plain,
% 1.33/0.88 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl1444, zip_derived_cl454, zip_derived_cl0,
% 1.33/0.88 zip_derived_cl0])).
% 1.33/0.88 thf(zip_derived_cl1530, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 1.33/0.88 inference('demod', [status(thm)],
% 1.33/0.88 [zip_derived_cl470, zip_derived_cl1501, zip_derived_cl1501])).
% 1.33/0.88 thf(zip_derived_cl1598, plain, (((x) != (x))),
% 1.33/0.88 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl1530])).
% 1.33/0.88 thf(zip_derived_cl1599, plain, ($false),
% 1.33/0.88 inference('simplify', [status(thm)], [zip_derived_cl1598])).
% 1.33/0.88
% 1.33/0.88 % SZS output end Refutation
% 1.33/0.88
% 1.33/0.88
% 1.33/0.88 % Terminating...
% 1.87/0.95 % Runner terminated.
% 1.87/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------