TSTP Solution File: LCL116-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL116-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jlQgfHMQSK true
% Computer : n032.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 08:58:17 EDT 2023
% Result : Unsatisfiable 5.14s 1.17s
% Output : Refutation 5.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL116-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jlQgfHMQSK true
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Fri Aug 25 04:32:57 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.11/0.29 % Running portfolio for 300 s
% 0.11/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.29 % Number of cores: 8
% 0.11/0.29 % Python version: Python 3.6.8
% 0.11/0.29 % Running in FO mode
% 0.15/0.46 % Total configuration time : 435
% 0.15/0.46 % Estimated wc time : 1092
% 0.15/0.46 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.53 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.53 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.53 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.54 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.54 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.57 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.57 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.14/1.17 % Solved by fo/fo5.sh.
% 5.14/1.17 % done 546 iterations in 0.563s
% 5.14/1.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.14/1.17 % SZS output start Refutation
% 5.14/1.17 thf(b_type, type, b: $i).
% 5.14/1.17 thf(truth_type, type, truth: $i).
% 5.14/1.17 thf(implies_type, type, implies: $i > $i > $i).
% 5.14/1.17 thf(a_type, type, a: $i).
% 5.14/1.17 thf(not_type, type, not: $i > $i).
% 5.14/1.17 thf(prove_mv_50, conjecture,
% 5.14/1.17 (( implies @ ( not @ a ) @ ( implies @ b @ ( not @ ( implies @ b @ a ) ) ) ) =
% 5.14/1.17 ( truth ))).
% 5.14/1.17 thf(zf_stmt_0, negated_conjecture,
% 5.14/1.17 (( implies @ ( not @ a ) @ ( implies @ b @ ( not @ ( implies @ b @ a ) ) ) ) !=
% 5.14/1.17 ( truth )),
% 5.14/1.17 inference('cnf.neg', [status(esa)], [prove_mv_50])).
% 5.14/1.17 thf(zip_derived_cl4, plain,
% 5.14/1.17 (((implies @ (not @ a) @ (implies @ b @ (not @ (implies @ b @ a))))
% 5.14/1.17 != (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.14/1.17 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(wajsberg_4, axiom,
% 5.14/1.17 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 5.14/1.17 ( truth ))).
% 5.14/1.17 thf(zip_derived_cl3, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_4])).
% 5.14/1.17 thf(zip_derived_cl7, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(wajsberg_3, axiom,
% 5.14/1.17 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 5.14/1.17 ( implies @ ( implies @ Y @ X ) @ X ))).
% 5.14/1.17 thf(zip_derived_cl2, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ X1 @ X0) @ X0)
% 5.14/1.17 = (implies @ (implies @ X0 @ X1) @ X1))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_3])).
% 5.14/1.17 thf(zip_derived_cl10, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(wajsberg_2, axiom,
% 5.14/1.17 (( implies @
% 5.14/1.17 ( implies @ X @ Y ) @
% 5.14/1.17 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 5.14/1.17 ( truth ))).
% 5.14/1.17 thf(zip_derived_cl1, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.14/1.17 ((implies @ (implies @ X0 @ X1) @
% 5.14/1.17 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_2])).
% 5.14/1.17 thf(zip_derived_cl25, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ truth @ X1) @
% 5.14/1.17 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl36, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl70, plain,
% 5.14/1.17 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl93, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl156, plain,
% 5.14/1.17 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl93])).
% 5.14/1.17 thf(zip_derived_cl36, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl166, plain,
% 5.14/1.17 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl36])).
% 5.14/1.17 thf(zip_derived_cl1, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.14/1.17 ((implies @ (implies @ X0 @ X1) @
% 5.14/1.17 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_2])).
% 5.14/1.17 thf(zip_derived_cl184, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ truth @
% 5.14/1.17 (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 5.14/1.17 truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl1])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl195, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl184, zip_derived_cl0, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl2, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ X1 @ X0) @ X0)
% 5.14/1.17 = (implies @ (implies @ X0 @ X1) @ X1))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_3])).
% 5.14/1.17 thf(zip_derived_cl204, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 5.14/1.17 = (implies @ truth @ (implies @ X1 @ X0)))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl2])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl222, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 5.14/1.17 = (implies @ X1 @ X0))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl312, plain,
% 5.14/1.17 (((implies @ truth @ (not @ truth))
% 5.14/1.17 = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl222])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl326, plain,
% 5.14/1.17 (((not @ truth) = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl312, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl3, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_4])).
% 5.14/1.17 thf(zip_derived_cl345, plain,
% 5.14/1.17 (((implies @
% 5.14/1.17 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))) @
% 5.14/1.17 (not @ truth)) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl326, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl7, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl2, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ X1 @ X0) @ X0)
% 5.14/1.17 = (implies @ (implies @ X0 @ X1) @ X1))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_3])).
% 5.14/1.17 thf(zip_derived_cl222, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 5.14/1.17 = (implies @ X1 @ X0))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl309, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 5.14/1.17 = (implies @ X0 @ X1))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl222])).
% 5.14/1.17 thf(zip_derived_cl476, plain,
% 5.14/1.17 (((implies @ truth @ (not @ (not @ truth)))
% 5.14/1.17 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl309])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl496, plain,
% 5.14/1.17 (((not @ (not @ truth))
% 5.14/1.17 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl476, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl3, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_4])).
% 5.14/1.17 thf(zip_derived_cl701, plain,
% 5.14/1.17 (((implies @
% 5.14/1.17 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth))) @
% 5.14/1.17 (not @ (not @ truth))) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl496, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl309, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 5.14/1.17 = (implies @ X0 @ X1))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl222])).
% 5.14/1.17 thf(zip_derived_cl741, plain,
% 5.14/1.17 (((implies @ truth @ (not @ (not @ (not @ truth))))
% 5.14/1.17 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl701, zip_derived_cl309])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl755, plain,
% 5.14/1.17 (((not @ (not @ (not @ truth)))
% 5.14/1.17 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl741, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl782, plain,
% 5.14/1.17 (((implies @ (not @ (not @ (not @ truth))) @ (not @ truth)) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl345, zip_derived_cl755])).
% 5.14/1.17 thf(zip_derived_cl3, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_4])).
% 5.14/1.17 thf(zip_derived_cl826, plain,
% 5.14/1.17 (((implies @ truth @ (implies @ truth @ (not @ (not @ truth)))) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl782, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl839, plain, (((not @ (not @ truth)) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl826, zip_derived_cl0, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl3, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_4])).
% 5.14/1.17 thf(zip_derived_cl847, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ truth) @
% 5.14/1.17 (implies @ (not @ truth) @ X0)) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl839, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl166, plain,
% 5.14/1.17 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl36])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl851, plain,
% 5.14/1.17 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl847, zip_derived_cl166, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl2, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ X1 @ X0) @ X0)
% 5.14/1.17 = (implies @ (implies @ X0 @ X1) @ X1))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_3])).
% 5.14/1.17 thf(zip_derived_cl3, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_4])).
% 5.14/1.17 thf(zip_derived_cl8, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X1) @ (not @ (implies @ X0 @ X1))) @
% 5.14/1.17 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl861, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @
% 5.14/1.17 (implies @ (not @ (not @ truth)) @
% 5.14/1.17 (not @ (implies @ X0 @ (not @ truth)))) @
% 5.14/1.17 (implies @ truth @ X0)) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl851, zip_derived_cl8])).
% 5.14/1.17 thf(zip_derived_cl839, plain, (((not @ (not @ truth)) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl826, zip_derived_cl0, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl881, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ (not @ (implies @ X0 @ (not @ truth))) @ X0) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl861, zip_derived_cl839, zip_derived_cl0,
% 5.14/1.17 zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl3, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_4])).
% 5.14/1.17 thf(zip_derived_cl1010, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ truth @
% 5.14/1.17 (implies @ X0 @ (implies @ (not @ X0) @ (not @ truth)))) = (
% 5.14/1.17 truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl881, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl1063, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((truth) = (implies @ X0 @ (implies @ (not @ X0) @ (not @ truth))))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1010, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl2, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ X1 @ X0) @ X0)
% 5.14/1.17 = (implies @ (implies @ X0 @ X1) @ X1))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_3])).
% 5.14/1.17 thf(zip_derived_cl1094, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ (implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) @
% 5.14/1.17 X0) = (implies @ truth @ (implies @ (not @ X0) @ (not @ truth))))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1063, zip_derived_cl2])).
% 5.14/1.17 thf(zip_derived_cl7, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl1122, plain,
% 5.14/1.17 (![X0 : $i]: ((X0) = (implies @ (not @ X0) @ (not @ truth)))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl1094, zip_derived_cl7, zip_derived_cl0,
% 5.14/1.17 zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl851, plain,
% 5.14/1.17 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl847, zip_derived_cl166, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl2, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ X1 @ X0) @ X0)
% 5.14/1.17 = (implies @ (implies @ X0 @ X1) @ X1))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_3])).
% 5.14/1.17 thf(zip_derived_cl855, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth))
% 5.14/1.17 = (implies @ truth @ X0))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl851, zip_derived_cl2])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl876, plain,
% 5.14/1.17 (![X0 : $i]:
% 5.14/1.17 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth)) = (X0))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl855, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl1375, plain,
% 5.14/1.17 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1122, zip_derived_cl876])).
% 5.14/1.17 thf(zip_derived_cl1122, plain,
% 5.14/1.17 (![X0 : $i]: ((X0) = (implies @ (not @ X0) @ (not @ truth)))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl1094, zip_derived_cl7, zip_derived_cl0,
% 5.14/1.17 zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl1475, plain, (![X0 : $i]: ((X0) = (not @ (not @ X0)))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1375, zip_derived_cl1122])).
% 5.14/1.17 thf(zip_derived_cl1375, plain,
% 5.14/1.17 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1122, zip_derived_cl876])).
% 5.14/1.17 thf(zip_derived_cl2, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ X1 @ X0) @ X0)
% 5.14/1.17 = (implies @ (implies @ X0 @ X1) @ X1))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_3])).
% 5.14/1.17 thf(zip_derived_cl1, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.14/1.17 ((implies @ (implies @ X0 @ X1) @
% 5.14/1.17 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_2])).
% 5.14/1.17 thf(zip_derived_cl21, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.14/1.17 ((implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 5.14/1.17 (implies @ (implies @ X2 @ X1) @
% 5.14/1.17 (implies @ (implies @ X1 @ X0) @ X0)))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 5.14/1.17 thf(zip_derived_cl1442, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ X1) @
% 5.14/1.17 (implies @ (implies @ X1 @ (not @ truth)) @
% 5.14/1.17 (implies @ (implies @ (not @ truth) @ X0) @ X0)))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1375, zip_derived_cl21])).
% 5.14/1.17 thf(zip_derived_cl1375, plain,
% 5.14/1.17 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1122, zip_derived_cl876])).
% 5.14/1.17 thf(zip_derived_cl851, plain,
% 5.14/1.17 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl847, zip_derived_cl166, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl1479, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ X1) @ (implies @ (not @ X1) @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl1442, zip_derived_cl1375, zip_derived_cl851,
% 5.14/1.17 zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl2, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ X1 @ X0) @ X0)
% 5.14/1.17 = (implies @ (implies @ X0 @ X1) @ X1))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_3])).
% 5.14/1.17 thf(zip_derived_cl2192, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @
% 5.14/1.17 (implies @ (implies @ (not @ X1) @ X0) @ (implies @ (not @ X0) @ X1)) @
% 5.14/1.17 (implies @ (not @ X0) @ X1))
% 5.14/1.17 = (implies @ truth @ (implies @ (not @ X1) @ X0)))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1479, zip_derived_cl2])).
% 5.14/1.17 thf(zip_derived_cl1479, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (implies @ (not @ X0) @ X1) @ (implies @ (not @ X1) @ X0))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl1442, zip_derived_cl1375, zip_derived_cl851,
% 5.14/1.17 zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 5.14/1.17 inference('cnf', [status(esa)], [wajsberg_1])).
% 5.14/1.17 thf(zip_derived_cl2264, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (not @ X0) @ X1) = (implies @ (not @ X1) @ X0))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl2192, zip_derived_cl1479, zip_derived_cl0,
% 5.14/1.17 zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl2368, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ X0 @ X1) = (implies @ (not @ X1) @ (not @ X0)))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1475, zip_derived_cl2264])).
% 5.14/1.17 thf(zip_derived_cl36, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 5.14/1.17 thf(zip_derived_cl2482, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (not @ X0) @ (implies @ (implies @ X1 @ X0) @ (not @ X1)))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl2368, zip_derived_cl36])).
% 5.14/1.17 thf(zip_derived_cl1475, plain, (![X0 : $i]: ((X0) = (not @ (not @ X0)))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1375, zip_derived_cl1122])).
% 5.14/1.17 thf(zip_derived_cl2368, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ X0 @ X1) = (implies @ (not @ X1) @ (not @ X0)))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1475, zip_derived_cl2264])).
% 5.14/1.17 thf(zip_derived_cl2506, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ X1 @ (not @ X0)) = (implies @ X0 @ (not @ X1)))),
% 5.14/1.17 inference('sup+', [status(thm)], [zip_derived_cl1475, zip_derived_cl2368])).
% 5.14/1.17 thf(zip_derived_cl5121, plain,
% 5.14/1.17 (![X0 : $i, X1 : $i]:
% 5.14/1.17 ((implies @ (not @ X0) @ (implies @ X1 @ (not @ (implies @ X1 @ X0))))
% 5.14/1.17 = (truth))),
% 5.14/1.17 inference('demod', [status(thm)],
% 5.14/1.17 [zip_derived_cl2482, zip_derived_cl2506])).
% 5.14/1.17 thf(zip_derived_cl5122, plain, (((truth) != (truth))),
% 5.14/1.17 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl5121])).
% 5.14/1.17 thf(zip_derived_cl5123, plain, ($false),
% 5.14/1.17 inference('simplify', [status(thm)], [zip_derived_cl5122])).
% 5.14/1.17
% 5.14/1.17 % SZS output end Refutation
% 5.14/1.17
% 5.14/1.17
% 5.14/1.17 % Terminating...
% 5.56/1.28 % Runner terminated.
% 5.56/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------