TSTP Solution File: LCL034-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL034-1 : 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.kZQiro9q95 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 08:57:54 EDT 2023
% Result : Unsatisfiable 34.75s 5.57s
% Output : Refutation 34.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL034-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kZQiro9q95 true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 02:34:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 34.75/5.57 % Solved by fo/fo5.sh.
% 34.75/5.57 % done 3375 iterations in 4.733s
% 34.75/5.57 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.75/5.57 % SZS output start Refutation
% 34.75/5.57 thf(a_type, type, a: $i).
% 34.75/5.57 thf(falsehood_type, type, falsehood: $i).
% 34.75/5.57 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 34.75/5.57 thf(implies_type, type, implies: $i > $i > $i).
% 34.75/5.57 thf(b_type, type, b: $i).
% 34.75/5.57 thf(prove_c0_3, conjecture,
% 34.75/5.57 (is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ))).
% 34.75/5.57 thf(zf_stmt_0, negated_conjecture,
% 34.75/5.57 (~( is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ) )),
% 34.75/5.57 inference('cnf.neg', [status(esa)], [prove_c0_3])).
% 34.75/5.57 thf(zip_derived_cl2, plain,
% 34.75/5.57 (~ (is_a_theorem @ (implies @ (implies @ (implies @ a @ b) @ a) @ a))),
% 34.75/5.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.75/5.57 thf(c0_CAMerideth, axiom,
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 ( implies @
% 34.75/5.57 ( implies @
% 34.75/5.57 ( implies @
% 34.75/5.57 ( implies @ ( implies @ X @ Y ) @ ( implies @ Z @ falsehood ) ) @ U ) @
% 34.75/5.57 V ) @
% 34.75/5.57 ( implies @ ( implies @ V @ X ) @ ( implies @ Z @ X ) ) ))).
% 34.75/5.57 thf(zip_derived_cl1, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ falsehood)) @ X3) @
% 34.75/5.57 X4) @
% 34.75/5.57 (implies @ (implies @ X4 @ X0) @ (implies @ X2 @ X0))))),
% 34.75/5.57 inference('cnf', [status(esa)], [c0_CAMerideth])).
% 34.75/5.57 thf(zip_derived_cl1, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ falsehood)) @ X3) @
% 34.75/5.57 X4) @
% 34.75/5.57 (implies @ (implies @ X4 @ X0) @ (implies @ X2 @ X0))))),
% 34.75/5.57 inference('cnf', [status(esa)], [c0_CAMerideth])).
% 34.75/5.57 thf(condensed_detachment, axiom,
% 34.75/5.57 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 34.75/5.57 ( is_a_theorem @ Y ))).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl4, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 34.75/5.57 (implies @ X0 @ X4)) @
% 34.75/5.57 (implies @ X3 @ (implies @ X0 @ X4))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl6, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X1 @ (implies @ falsehood @ X0)) @ X3) @
% 34.75/5.57 (implies @ X2 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl8, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 34.75/5.57 (implies @ falsehood @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl10, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ falsehood @ X0) @ X3) @
% 34.75/5.57 (implies @ X1 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl4, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 34.75/5.57 (implies @ X0 @ X4)) @
% 34.75/5.57 (implies @ X3 @ (implies @ X0 @ X4))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl5, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 34.75/5.57 (implies @ X1 @ X0))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl21, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl30, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @ X2))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl21, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 34.75/5.57 thf(zip_derived_cl43, plain,
% 34.75/5.57 (![X3 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @ (implies @ X3 @ (implies @ X4 @ X3)))),
% 34.75/5.57 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl21])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl62, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ X4 @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X0)) @
% 34.75/5.57 X3) @
% 34.75/5.57 (implies @ X1 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl319, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X0) @ X4) @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood)) @ X4)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl43, plain,
% 34.75/5.57 (![X3 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @ (implies @ X3 @ (implies @ X4 @ X3)))),
% 34.75/5.57 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl21])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl61, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl68, plain,
% 34.75/5.57 (![X0 : $i, X2 : $i, X4 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X2 @ X4))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl319, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X0) @ X4) @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood)) @ X4)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl2821, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @ X0))
% 34.75/5.57 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl2896, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ X2)
% 34.75/5.57 | (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X3) @ (implies @ X2 @ falsehood)) @
% 34.75/5.57 (implies @ X1 @ X0))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl2821])).
% 34.75/5.57 thf(zip_derived_cl62, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ X4 @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X0)) @
% 34.75/5.57 X3) @
% 34.75/5.57 (implies @ X1 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl315, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X1 @ X0))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ X4 @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X2)) @
% 34.75/5.57 X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl2960, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.75/5.57 (~ (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 34.75/5.57 (implies @ X2 @ falsehood)))
% 34.75/5.57 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl2896, zip_derived_cl315])).
% 34.75/5.57 thf(zip_derived_cl3219, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X2 @ X1) @ (implies @ X0 @ falsehood)) @
% 34.75/5.57 (implies @ X0 @ X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl2960])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl3252, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X1) @
% 34.75/5.57 (implies @ X3 @ X1)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3219, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl3647, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 34.75/5.57 (implies @ X0 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3252, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl3785, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ falsehood) @ X0) @ X3) @
% 34.75/5.57 (implies @ X1 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3647, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl6410, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 34.75/5.57 (implies @ X2 @ X1)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3785, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3785, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ falsehood) @ X0) @ X3) @
% 34.75/5.57 (implies @ X1 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3647, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl3219, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X2 @ X1) @ (implies @ X0 @ falsehood)) @
% 34.75/5.57 (implies @ X0 @ X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl2960])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl3246, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X1 @ X0))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3219, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl6467, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ X0 @ (implies @ (implies @ X0 @ falsehood) @ X1)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3785, zip_derived_cl3246])).
% 34.75/5.57 thf(zip_derived_cl3785, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ falsehood) @ X0) @ X3) @
% 34.75/5.57 (implies @ X1 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3647, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl6404, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X1 @ X0))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ falsehood) @ X2) @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3785, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl6587, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ X2 @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ (implies @ X2 @ falsehood) @ X1) @ falsehood) @
% 34.75/5.57 X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl6467, zip_derived_cl6404])).
% 34.75/5.57 thf(zip_derived_cl3246, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X1 @ X0))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3219, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl13414, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ (implies @ X2 @ X1) @ falsehood) @ X0) @
% 34.75/5.57 falsehood) @
% 34.75/5.57 X2))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl6587, zip_derived_cl3246])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl14308, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X0 @ (implies @ X0 @ X2)) @
% 34.75/5.57 (implies @ X1 @ (implies @ X0 @ X2))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl13414, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl14351, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl14308, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl14536, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ X2 @
% 34.75/5.57 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)],
% 34.75/5.57 [zip_derived_cl6410, zip_derived_cl14351])).
% 34.75/5.57 thf(zip_derived_cl3219, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X2 @ X1) @ (implies @ X0 @ falsehood)) @
% 34.75/5.57 (implies @ X0 @ X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl2960])).
% 34.75/5.57 thf(zip_derived_cl3647, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 34.75/5.57 (implies @ X0 @ X3)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3252, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl3779, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X1 @ X0))
% 34.75/5.57 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3647, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl3925, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X1 @ falsehood) @ (implies @ X1 @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3219, zip_derived_cl3779])).
% 34.75/5.57 thf(zip_derived_cl319, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X0) @ X4) @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood)) @ X4)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl2896, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ X2)
% 34.75/5.57 | (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X3) @ (implies @ X2 @ falsehood)) @
% 34.75/5.57 (implies @ X1 @ X0))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl2821])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl2946, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ X2)
% 34.75/5.57 | (is_a_theorem @ (implies @ X1 @ X0))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X0 @ X3) @ (implies @ X2 @ falsehood))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl2896, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl3005, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X3 @ (implies @ X0 @ X2)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X1) @ (implies @ X0 @ falsehood))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl2946])).
% 34.75/5.57 thf(zip_derived_cl4054, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3925, zip_derived_cl3005])).
% 34.75/5.57 thf(zip_derived_cl3, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @
% 34.75/5.57 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 34.75/5.57 X3) @
% 34.75/5.57 X2)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl4137, plain,
% 34.75/5.57 (![X0 : $i, X2 : $i, X4 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X0 @ X0) @ X4) @
% 34.75/5.57 (implies @ X2 @ X4)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl4054, zip_derived_cl3])).
% 34.75/5.57 thf(zip_derived_cl14351, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 34.75/5.57 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl14308, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl14534, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ X2 @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X1) @ X0) @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)],
% 34.75/5.57 [zip_derived_cl4137, zip_derived_cl14351])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl14915, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ (implies @ X1 @ X1) @ X0) @ X0))
% 34.75/5.57 | ~ (is_a_theorem @ X2))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl14534, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl3925, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X1 @ falsehood) @ (implies @ X1 @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3219, zip_derived_cl3779])).
% 34.75/5.57 thf(zip_derived_cl3246, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.75/5.57 ( (is_a_theorem @ (implies @ X1 @ X0))
% 34.75/5.57 | ~ (is_a_theorem @
% 34.75/5.57 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood))))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3219, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl4059, plain,
% 34.75/5.57 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl3925, zip_derived_cl3246])).
% 34.75/5.57 thf(zip_derived_cl15126, plain,
% 34.75/5.57 (![X1 : $i, X2 : $i]:
% 34.75/5.57 (is_a_theorem @ (implies @ (implies @ (implies @ X2 @ X2) @ X1) @ X1))),
% 34.75/5.57 inference('sup+', [status(thm)],
% 34.75/5.57 [zip_derived_cl14915, zip_derived_cl4059])).
% 34.75/5.57 thf(zip_derived_cl0, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 34.75/5.57 | ~ (is_a_theorem @ X0)
% 34.75/5.57 | (is_a_theorem @ X1))),
% 34.75/5.57 inference('cnf', [status(esa)], [condensed_detachment])).
% 34.75/5.57 thf(zip_derived_cl15402, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 ( (is_a_theorem @ X0)
% 34.75/5.57 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X1) @ X0)))),
% 34.75/5.57 inference('sup-', [status(thm)], [zip_derived_cl15126, zip_derived_cl0])).
% 34.75/5.57 thf(zip_derived_cl16021, plain,
% 34.75/5.57 (![X0 : $i, X1 : $i]:
% 34.75/5.57 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))),
% 34.75/5.57 inference('sup-', [status(thm)],
% 34.75/5.57 [zip_derived_cl14536, zip_derived_cl15402])).
% 34.75/5.57 thf(zip_derived_cl16043, plain, ($false),
% 34.75/5.57 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl16021])).
% 34.75/5.57
% 34.75/5.57 % SZS output end Refutation
% 34.75/5.57
% 34.75/5.57
% 34.75/5.57 % Terminating...
% 34.75/5.66 % Runner terminated.
% 34.75/5.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------