TSTP Solution File: LCL071-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL071-1 : 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.riqVTLUDxu true
% Computer : n026.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 08:58:03 EDT 2023
% Result : Unsatisfiable 20.97s 3.67s
% Output : Refutation 20.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL071-1 : 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.riqVTLUDxu true
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 17:57:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 20.97/3.67 % Solved by fo/fo4.sh.
% 20.97/3.67 % done 3268 iterations in 2.882s
% 20.97/3.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.97/3.67 % SZS output start Refutation
% 20.97/3.67 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 20.97/3.67 thf(implies_type, type, implies: $i > $i > $i).
% 20.97/3.67 thf(not_type, type, not: $i > $i).
% 20.97/3.67 thf(a_type, type, a: $i).
% 20.97/3.67 thf(cn_19, axiom,
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 ( implies @ ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ Y @ Z ) ))).
% 20.97/3.67 thf(zip_derived_cl1, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 20.97/3.67 (implies @ X1 @ X2)))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_19])).
% 20.97/3.67 thf(zip_derived_cl1, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 20.97/3.67 (implies @ X1 @ X2)))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_19])).
% 20.97/3.67 thf(condensed_detachment, axiom,
% 20.97/3.67 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 20.97/3.67 ( is_a_theorem @ Y ))).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl5, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl8, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl14, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 20.97/3.67 thf(cn_60, axiom,
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 ( implies @
% 20.97/3.67 ( implies @ X @ ( implies @ ( not @ Y ) @ Z ) ) @
% 20.97/3.67 ( implies @
% 20.97/3.67 X @
% 20.97/3.67 ( implies @
% 20.97/3.67 ( implies @ U @ Z ) @ ( implies @ ( implies @ Y @ U ) @ Z ) ) ) ))).
% 20.97/3.67 thf(zip_derived_cl3, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X0 @ (implies @ (not @ X1) @ X2)) @
% 20.97/3.67 (implies @ X0 @
% 20.97/3.67 (implies @ (implies @ X3 @ X2) @
% 20.97/3.67 (implies @ (implies @ X1 @ X3) @ X2)))))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_60])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl7, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 ( (is_a_theorem @
% 20.97/3.67 (implies @ X3 @
% 20.97/3.67 (implies @ (implies @ X1 @ X0) @
% 20.97/3.67 (implies @ (implies @ X2 @ X1) @ X0))))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl21, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0)))
% 20.97/3.67 | (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X1 @ X0) @
% 20.97/3.67 (implies @ (implies @ X2 @ X1) @ X0)))
% 20.97/3.67 | ~ (is_a_theorem @ X3))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl43, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ X2)
% 20.97/3.67 | (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X3 @ X0) @
% 20.97/3.67 (implies @ (implies @ X1 @ X3) @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl21])).
% 20.97/3.67 thf(zip_derived_cl454, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X2 @ X0) @
% 20.97/3.67 (implies @ (implies @ X1 @ X2) @ X0))))),
% 20.97/3.67 inference('condensation', [status(thm)], [zip_derived_cl43])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl455, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 20.97/3.67 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl454, zip_derived_cl0])).
% 20.97/3.67 thf(prove_cn_2, conjecture,
% 20.97/3.67 (is_a_theorem @ ( implies @ ( implies @ ( not @ a ) @ a ) @ a ))).
% 20.97/3.67 thf(zf_stmt_0, negated_conjecture,
% 20.97/3.67 (~( is_a_theorem @ ( implies @ ( implies @ ( not @ a ) @ a ) @ a ) )),
% 20.97/3.67 inference('cnf.neg', [status(esa)], [prove_cn_2])).
% 20.97/3.67 thf(zip_derived_cl4, plain,
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (implies @ (not @ a) @ a) @ a))),
% 20.97/3.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.97/3.67 thf(zip_derived_cl1336, plain,
% 20.97/3.67 ((~ (is_a_theorem @ (implies @ a @ a))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ (not @ a)) @ a)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl4])).
% 20.97/3.67 thf(zip_derived_cl1, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 20.97/3.67 (implies @ X1 @ X2)))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_19])).
% 20.97/3.67 thf(zip_derived_cl1, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 20.97/3.67 (implies @ X1 @ X2)))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_19])).
% 20.97/3.67 thf(zip_derived_cl1, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 20.97/3.67 (implies @ X1 @ X2)))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_19])).
% 20.97/3.67 thf(cn_37, axiom,
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 ( implies @
% 20.97/3.67 ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ ( not @ X ) @ Z ) ))).
% 20.97/3.67 thf(zip_derived_cl2, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 20.97/3.67 (implies @ (not @ X0) @ X2)))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_37])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl6, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl11, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (not @ (implies @ X2 @ X1)) @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 20.97/3.67 thf(zip_derived_cl455, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 20.97/3.67 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl454, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl1307, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 20.97/3.67 | (is_a_theorem @ X0)
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl1359, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X3))
% 20.97/3.67 | (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1307])).
% 20.97/3.67 thf(zip_derived_cl1535, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X3)))
% 20.97/3.67 | (is_a_theorem @ (implies @ X0 @ X3)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1359])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl1578, plain,
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ (not @ a)) @ a))),
% 20.97/3.67 inference('demod', [status(thm)],
% 20.97/3.67 [zip_derived_cl1336, zip_derived_cl1568])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl455, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 20.97/3.67 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl454, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl1, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 20.97/3.67 (implies @ X1 @ X2)))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_19])).
% 20.97/3.67 thf(zip_derived_cl8, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 20.97/3.67 thf(zip_derived_cl5, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl15, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @ (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl6, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl1598, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1568, zip_derived_cl6])).
% 20.97/3.67 thf(zip_derived_cl1307, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 20.97/3.67 | (is_a_theorem @ X0)
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl1732, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 20.97/3.67 | (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1598, zip_derived_cl1307])).
% 20.97/3.67 thf(zip_derived_cl2111, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X2 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl1732])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl2587, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 20.97/3.67 | (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ X2))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl2111, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl2659, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 20.97/3.67 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2587])).
% 20.97/3.67 thf(zip_derived_cl3519, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1568, zip_derived_cl2659])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl1732, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 20.97/3.67 | (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1598, zip_derived_cl1307])).
% 20.97/3.67 thf(zip_derived_cl2107, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1568, zip_derived_cl1732])).
% 20.97/3.67 thf(zip_derived_cl454, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X2 @ X0) @
% 20.97/3.67 (implies @ (implies @ X1 @ X2) @ X0))))),
% 20.97/3.67 inference('condensation', [status(thm)], [zip_derived_cl43])).
% 20.97/3.67 thf(zip_derived_cl2302, plain,
% 20.97/3.67 (![X0 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ (implies @ X0 @ X0) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ X0) @ X0)))),
% 20.97/3.67 inference('sup+', [status(thm)], [zip_derived_cl2107, zip_derived_cl454])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl5088, plain,
% 20.97/3.67 (![X0 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X0) @ X0))
% 20.97/3.67 | (is_a_theorem @ X0)
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X0 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl2302, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl5148, plain,
% 20.97/3.67 (![X0 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X0) @ X0)) | (is_a_theorem @ X0))),
% 20.97/3.67 inference('demod', [status(thm)],
% 20.97/3.67 [zip_derived_cl5088, zip_derived_cl1568])).
% 20.97/3.67 thf(zip_derived_cl2111, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X2 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl1732])).
% 20.97/3.67 thf(zip_derived_cl5167, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ (implies @ X1 @ X0)) @ X0)))),
% 20.97/3.67 inference('sup+', [status(thm)], [zip_derived_cl5148, zip_derived_cl2111])).
% 20.97/3.67 thf(zip_derived_cl2, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 20.97/3.67 (implies @ (not @ X0) @ X2)))),
% 20.97/3.67 inference('cnf', [status(esa)], [cn_37])).
% 20.97/3.67 thf(zip_derived_cl6, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl12, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (not @ (implies @ X1 @ X2)) @ (implies @ (not @ X1) @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 20.97/3.67 thf(zip_derived_cl5301, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X1) @ X0)))),
% 20.97/3.67 inference('sup+', [status(thm)], [zip_derived_cl5167, zip_derived_cl12])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl5411, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ (not @ X1) @ X0)) | ~ (is_a_theorem @ X1))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl5301, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl1307, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 20.97/3.67 | (is_a_theorem @ X0)
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl1611, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | (is_a_theorem @ (not @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X1 @ (not @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1568, zip_derived_cl1307])).
% 20.97/3.67 thf(zip_derived_cl1625, plain,
% 20.97/3.67 (![X0 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (not @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X0 @ (not @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1568, zip_derived_cl1611])).
% 20.97/3.67 thf(zip_derived_cl5511, plain,
% 20.97/3.67 (![X0 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ X0) | (is_a_theorem @ (not @ (not @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl5411, zip_derived_cl1625])).
% 20.97/3.67 thf(zip_derived_cl454, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X2 @ X0) @
% 20.97/3.67 (implies @ (implies @ X1 @ X2) @ X0))))),
% 20.97/3.67 inference('condensation', [status(thm)], [zip_derived_cl43])).
% 20.97/3.67 thf(zip_derived_cl8, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 20.97/3.67 thf(zip_derived_cl6, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl16, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (is_a_theorem @
% 20.97/3.67 (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl32, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 20.97/3.67 | ~ (is_a_theorem @ (not @ X1)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl21, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0)))
% 20.97/3.67 | (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X1 @ X0) @
% 20.97/3.67 (implies @ (implies @ X2 @ X1) @ X0)))
% 20.97/3.67 | ~ (is_a_theorem @ X3))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl47, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (not @ (not @ X1)))
% 20.97/3.67 | ~ (is_a_theorem @ X2)
% 20.97/3.67 | (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X3 @ X0) @
% 20.97/3.67 (implies @ (implies @ X1 @ X3) @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl21])).
% 20.97/3.67 thf(zip_derived_cl69, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (not @ (not @ X0)))
% 20.97/3.67 | (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X2 @ X1) @
% 20.97/3.67 (implies @ (implies @ X0 @ X2) @ X1))))),
% 20.97/3.67 inference('condensation', [status(thm)], [zip_derived_cl47])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl70, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (not @ (not @ X2)))
% 20.97/3.67 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl70, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (not @ (not @ X2)))
% 20.97/3.67 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl0, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ X0)
% 20.97/3.67 | (is_a_theorem @ X1))),
% 20.97/3.67 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.97/3.67 thf(zip_derived_cl73, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (not @ (not @ X2)))
% 20.97/3.67 | (is_a_theorem @ X0)
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 20.97/3.67 thf(zip_derived_cl90, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (not @ (not @ X2)))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X3 @ (implies @ X2 @ X1)))
% 20.97/3.67 | (is_a_theorem @ X0)
% 20.97/3.67 | ~ (is_a_theorem @ (not @ (not @ X3))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl73])).
% 20.97/3.67 thf(zip_derived_cl461, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (not @ (not @ (implies @ X1 @ X0))))
% 20.97/3.67 | (is_a_theorem @ X3)
% 20.97/3.67 | ~ (is_a_theorem @ (not @ (not @ (implies @ X2 @ X1))))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X0 @ X3)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl454, zip_derived_cl90])).
% 20.97/3.67 thf(zip_derived_cl956, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.97/3.67 | ~ (is_a_theorem @ (not @ (not @ (implies @ X0 @ X0))))
% 20.97/3.67 | (is_a_theorem @ X1)
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ X0) @ X0)))),
% 20.97/3.67 inference('eq_fact', [status(thm)], [zip_derived_cl461])).
% 20.97/3.67 thf(zip_derived_cl5623, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ X0 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ X0) @ X0))
% 20.97/3.67 | (is_a_theorem @ X1)
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X0 @ X1)))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl5511, zip_derived_cl956])).
% 20.97/3.67 thf(zip_derived_cl1568, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1535])).
% 20.97/3.67 thf(zip_derived_cl5659, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (not @ X0) @ X0))
% 20.97/3.67 | (is_a_theorem @ X1)
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ X0 @ X1)))),
% 20.97/3.67 inference('demod', [status(thm)],
% 20.97/3.67 [zip_derived_cl5623, zip_derived_cl1568])).
% 20.97/3.67 thf(zip_derived_cl5882, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @
% 20.97/3.67 (implies @ (implies @ X0 @ (implies @ X1 @ X0)) @ X2))
% 20.97/3.67 | (is_a_theorem @ X2))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl3519, zip_derived_cl5659])).
% 20.97/3.67 thf(zip_derived_cl6643, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.97/3.67 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 20.97/3.67 | (is_a_theorem @ X0))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl5882])).
% 20.97/3.67 thf(zip_derived_cl7476, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 ( (is_a_theorem @ (implies @ X1 @ X0))
% 20.97/3.67 | ~ (is_a_theorem @ (implies @ (not @ X0) @ (implies @ X1 @ X0))))),
% 20.97/3.67 inference('sup-', [status(thm)], [zip_derived_cl1568, zip_derived_cl6643])).
% 20.97/3.67 thf(zip_derived_cl5301, plain,
% 20.97/3.67 (![X0 : $i, X1 : $i]:
% 20.97/3.67 (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X1) @ X0)))),
% 20.97/3.67 inference('sup+', [status(thm)], [zip_derived_cl5167, zip_derived_cl12])).
% 20.97/3.67 thf(zip_derived_cl12233, plain,
% 20.97/3.67 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 20.97/3.67 inference('sup+', [status(thm)], [zip_derived_cl7476, zip_derived_cl5301])).
% 20.97/3.67 thf(zip_derived_cl12331, plain, ($false),
% 20.97/3.67 inference('demod', [status(thm)],
% 20.97/3.67 [zip_derived_cl1578, zip_derived_cl12233])).
% 20.97/3.67
% 20.97/3.67 % SZS output end Refutation
% 20.97/3.67
% 20.97/3.67
% 20.97/3.67 % Terminating...
% 22.02/3.75 % Runner terminated.
% 22.02/3.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------