TSTP Solution File: LCL110-2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL110-2 : 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.DnX3uZhu2Z 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 08:58:14 EDT 2023
% Result : Unsatisfiable 0.14s 0.70s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : LCL110-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DnX3uZhu2Z true
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri Aug 25 06:45:27 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % Running portfolio for 300 s
% 0.09/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % Number of cores: 8
% 0.09/0.28 % Python version: Python 3.6.8
% 0.09/0.28 % Running in FO mode
% 0.14/0.52 % Total configuration time : 435
% 0.14/0.52 % Estimated wc time : 1092
% 0.14/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.14/0.70 % Solved by fo/fo3_bce.sh.
% 0.14/0.70 % BCE start: 5
% 0.14/0.70 % BCE eliminated: 0
% 0.14/0.70 % PE start: 5
% 0.14/0.70 logic: eq
% 0.14/0.70 % PE eliminated: 0
% 0.14/0.70 % done 183 iterations in 0.126s
% 0.14/0.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.14/0.70 % SZS output start Refutation
% 0.14/0.70 thf(truth_type, type, truth: $i).
% 0.14/0.70 thf(implies_type, type, implies: $i > $i > $i).
% 0.14/0.70 thf(x_type, type, x: $i).
% 0.14/0.70 thf(not_type, type, not: $i > $i).
% 0.14/0.70 thf(prove_mv_24, conjecture,
% 0.14/0.70 (( implies @ ( not @ ( not @ x ) ) @ x ) = ( truth ))).
% 0.14/0.70 thf(zf_stmt_0, negated_conjecture,
% 0.14/0.70 (( implies @ ( not @ ( not @ x ) ) @ x ) != ( truth )),
% 0.14/0.70 inference('cnf.neg', [status(esa)], [prove_mv_24])).
% 0.14/0.70 thf(zip_derived_cl4, plain, (((implies @ (not @ (not @ x)) @ x) != (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.70 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(wajsberg_4, axiom,
% 0.14/0.70 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 0.14/0.70 ( truth ))).
% 0.14/0.70 thf(zip_derived_cl3, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.14/0.70 = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.14/0.70 thf(zip_derived_cl97, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.14/0.70 thf(wajsberg_3, axiom,
% 0.14/0.70 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 0.14/0.70 ( implies @ ( implies @ Y @ X ) @ X ))).
% 0.14/0.70 thf(zip_derived_cl2, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.14/0.70 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.14/0.70 thf(zip_derived_cl2, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.14/0.70 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.14/0.70 thf(zip_derived_cl6, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 0.14/0.70 = (implies @ (implies @ X1 @ (implies @ X0 @ X1)) @
% 0.14/0.70 (implies @ X0 @ X1)))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl2, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.14/0.70 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.14/0.70 thf(zip_derived_cl11, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(wajsberg_2, axiom,
% 0.14/0.70 (( implies @
% 0.14/0.70 ( implies @ X @ Y ) @
% 0.14/0.70 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 0.14/0.70 ( truth ))).
% 0.14/0.70 thf(zip_derived_cl1, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.70 ((implies @ (implies @ X0 @ X1) @
% 0.14/0.70 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.14/0.70 thf(zip_derived_cl42, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ truth @ X1) @
% 0.14/0.70 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl53, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl107, plain,
% 0.14/0.70 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl126, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl127, plain,
% 0.14/0.70 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl126])).
% 0.14/0.70 thf(zip_derived_cl53, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl156, plain,
% 0.14/0.70 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl53])).
% 0.14/0.70 thf(zip_derived_cl1, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.70 ((implies @ (implies @ X0 @ X1) @
% 0.14/0.70 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.14/0.70 thf(zip_derived_cl218, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ truth @
% 0.14/0.70 (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 0.14/0.70 truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl1])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl231, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl218, zip_derived_cl0, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl263, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 0.14/0.70 = (implies @ X0 @ X1))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl6, zip_derived_cl231, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl325, plain,
% 0.14/0.70 (((implies @ truth @ (not @ (not @ truth)))
% 0.14/0.70 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl263])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl334, plain,
% 0.14/0.70 (((not @ (not @ truth))
% 0.14/0.70 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl325, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl263, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 0.14/0.70 = (implies @ X0 @ X1))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl6, zip_derived_cl231, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl341, plain,
% 0.14/0.70 (((implies @ (implies @ (not @ (not @ truth)) @ (not @ (not @ truth))) @
% 0.14/0.70 (not @ truth)) = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl263])).
% 0.14/0.70 thf(zip_derived_cl126, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl345, plain,
% 0.14/0.70 (((not @ truth) = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl341, zip_derived_cl126, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl3, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.14/0.70 = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.14/0.70 thf(zip_derived_cl353, plain,
% 0.14/0.70 (((implies @
% 0.14/0.70 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))) @
% 0.14/0.70 (not @ truth)) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl345, zip_derived_cl3])).
% 0.14/0.70 thf(zip_derived_cl334, plain,
% 0.14/0.70 (((not @ (not @ truth))
% 0.14/0.70 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl325, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl3, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.14/0.70 = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.14/0.70 thf(zip_derived_cl338, plain,
% 0.14/0.70 (((implies @
% 0.14/0.70 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth))) @
% 0.14/0.70 (not @ (not @ truth))) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl3])).
% 0.14/0.70 thf(zip_derived_cl263, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 0.14/0.70 = (implies @ X0 @ X1))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl6, zip_derived_cl231, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl460, plain,
% 0.14/0.70 (((implies @ truth @ (not @ (not @ (not @ truth))))
% 0.14/0.70 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl263])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl469, plain,
% 0.14/0.70 (((not @ (not @ (not @ truth)))
% 0.14/0.70 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl460, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl571, plain,
% 0.14/0.70 (((implies @ (not @ (not @ (not @ truth))) @ (not @ truth)) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl353, zip_derived_cl469])).
% 0.14/0.70 thf(zip_derived_cl3, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.14/0.70 = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.14/0.70 thf(zip_derived_cl600, plain,
% 0.14/0.70 (((implies @ truth @ (implies @ truth @ (not @ (not @ truth)))) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl571, zip_derived_cl3])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl610, plain, (((not @ (not @ truth)) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl600, zip_derived_cl0, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl3, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.14/0.70 = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.14/0.70 thf(zip_derived_cl618, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ truth) @
% 0.14/0.70 (implies @ (not @ truth) @ X0)) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl610, zip_derived_cl3])).
% 0.14/0.70 thf(zip_derived_cl156, plain,
% 0.14/0.70 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl53])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl621, plain,
% 0.14/0.70 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl618, zip_derived_cl156, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl2, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.14/0.70 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.14/0.70 thf(zip_derived_cl624, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth))
% 0.14/0.70 = (implies @ truth @ X0))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl621, zip_derived_cl2])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl639, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth)) = (X0))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl624, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl97, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.14/0.70 thf(zip_derived_cl2, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.14/0.70 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.14/0.70 thf(zip_derived_cl1, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.70 ((implies @ (implies @ X0 @ X1) @
% 0.14/0.70 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.14/0.70 thf(zip_derived_cl38, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.70 ((implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 0.14/0.70 (implies @ (implies @ X2 @ X1) @
% 0.14/0.70 (implies @ (implies @ X1 @ X0) @ X0)))
% 0.14/0.70 = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.14/0.70 thf(zip_derived_cl1284, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ truth @
% 0.14/0.70 (implies @ (implies @ X0 @ (not @ truth)) @
% 0.14/0.70 (implies @ (implies @ (not @ truth) @ (not @ X0)) @ (not @ X0))))
% 0.14/0.70 = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl38])).
% 0.14/0.70 thf(zip_derived_cl621, plain,
% 0.14/0.70 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl618, zip_derived_cl156, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl1369, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ X0)) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl1284, zip_derived_cl621, zip_derived_cl0,
% 0.14/0.70 zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl2, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.14/0.70 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.14/0.70 thf(zip_derived_cl1413, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (implies @ X0 @ (not @ truth))) @
% 0.14/0.70 (implies @ X0 @ (not @ truth))) = (implies @ truth @ (not @ X0)))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl1369, zip_derived_cl2])).
% 0.14/0.70 thf(zip_derived_cl610, plain, (((not @ (not @ truth)) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl600, zip_derived_cl0, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl3, plain,
% 0.14/0.70 (![X0 : $i, X1 : $i]:
% 0.14/0.70 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.14/0.70 = (truth))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.14/0.70 thf(zip_derived_cl616, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (implies @ truth @ (not @ X0)) @
% 0.14/0.70 (implies @ X0 @ (not @ truth))) = (truth))),
% 0.14/0.70 inference('sup+', [status(thm)], [zip_derived_cl610, zip_derived_cl3])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl619, plain,
% 0.14/0.70 (![X0 : $i]:
% 0.14/0.70 ((implies @ (not @ X0) @ (implies @ X0 @ (not @ truth))) = (truth))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl616, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.14/0.70 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.14/0.70 thf(zip_derived_cl1466, plain,
% 0.14/0.70 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl1413, zip_derived_cl619, zip_derived_cl0,
% 0.14/0.70 zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl1466, plain,
% 0.14/0.70 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl1413, zip_derived_cl619, zip_derived_cl0,
% 0.14/0.70 zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl1494, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl639, zip_derived_cl1466, zip_derived_cl1466])).
% 0.14/0.70 thf(zip_derived_cl126, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.14/0.70 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl0])).
% 0.14/0.70 thf(zip_derived_cl1561, plain, (((truth) != (truth))),
% 0.14/0.70 inference('demod', [status(thm)],
% 0.14/0.70 [zip_derived_cl4, zip_derived_cl1494, zip_derived_cl126])).
% 0.14/0.70 thf(zip_derived_cl1562, plain, ($false),
% 0.14/0.70 inference('simplify', [status(thm)], [zip_derived_cl1561])).
% 0.14/0.70
% 0.14/0.70 % SZS output end Refutation
% 0.14/0.70
% 0.14/0.70
% 0.14/0.70 % Terminating...
% 2.11/0.81 % Runner terminated.
% 2.11/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------