TSTP Solution File: LCL056-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL056-1 : 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.E7eLYelMXd true
% Computer : n014.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 08:57:59 EDT 2023
% Result : Unsatisfiable 48.07s 7.56s
% Output : Refutation 48.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL056-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E7eLYelMXd true
% 0.14/0.35 % Computer : n014.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 : Thu Aug 24 17:04:19 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 48.07/7.56 % Solved by fo/fo5.sh.
% 48.07/7.56 % done 5241 iterations in 6.772s
% 48.07/7.56 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 48.07/7.56 % SZS output start Refutation
% 48.07/7.56 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 48.07/7.56 thf(implies_type, type, implies: $i > $i > $i).
% 48.07/7.56 thf(not_type, type, not: $i > $i).
% 48.07/7.56 thf(a_type, type, a: $i).
% 48.07/7.56 thf(prove_cn_39, conjecture,
% 48.07/7.56 (is_a_theorem @ ( implies @ ( not @ ( not @ a ) ) @ a ))).
% 48.07/7.56 thf(zf_stmt_0, negated_conjecture,
% 48.07/7.56 (~( is_a_theorem @ ( implies @ ( not @ ( not @ a ) ) @ a ) )),
% 48.07/7.56 inference('cnf.neg', [status(esa)], [prove_cn_39])).
% 48.07/7.56 thf(zip_derived_cl4, plain,
% 48.07/7.56 (~ (is_a_theorem @ (implies @ (not @ (not @ a)) @ a))),
% 48.07/7.56 inference('cnf', [status(esa)], [zf_stmt_0])).
% 48.07/7.56 thf(cn_2, axiom,
% 48.07/7.56 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 48.07/7.56 thf(zip_derived_cl2, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_2])).
% 48.07/7.56 thf(zip_derived_cl2, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_2])).
% 48.07/7.56 thf(zip_derived_cl2, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_2])).
% 48.07/7.56 thf(cn_1, axiom,
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 ( implies @
% 48.07/7.56 ( implies @ X @ Y ) @
% 48.07/7.56 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 48.07/7.56 thf(zip_derived_cl1, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X0 @ X1) @
% 48.07/7.56 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_1])).
% 48.07/7.56 thf(condensed_detachment, axiom,
% 48.07/7.56 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 48.07/7.56 ( is_a_theorem @ Y ))).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl13, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X0 @ X1) @
% 48.07/7.56 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl39, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl57, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @
% 48.07/7.56 (implies @ (not @ (implies @ (not @ X0) @ X0)) @
% 48.07/7.56 (implies @ (not @ X0) @ X0)) @
% 48.07/7.56 X0))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl39])).
% 48.07/7.56 thf(zip_derived_cl2, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_2])).
% 48.07/7.56 thf(cn_3, axiom,
% 48.07/7.56 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 48.07/7.56 thf(zip_derived_cl3, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_3])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl6, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ (not @ X1) @ X0)) | ~ (is_a_theorem @ X1))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl15, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X1)
% 48.07/7.56 | (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X0 @ X2) @ (implies @ (not @ X1) @ X2))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl3, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_3])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl12, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 48.07/7.56 (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl16, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ X1 @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl26, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X1)
% 48.07/7.56 | (is_a_theorem @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl29, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X1)
% 48.07/7.56 | (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 48.07/7.56 (implies @ X2 @ X3))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl144, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X3)
% 48.07/7.56 | (is_a_theorem @ (implies @ X1 @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl156, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl144])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl165, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ X2))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl180, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X2)
% 48.07/7.56 | (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ X3))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl6160, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X2)
% 48.07/7.56 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl180, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl6616, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ X1))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl6160])).
% 48.07/7.56 thf(zip_derived_cl1, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X0 @ X1) @
% 48.07/7.56 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_1])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl14, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @
% 48.07/7.56 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 48.07/7.56 X3) @
% 48.07/7.56 (implies @ (implies @ X1 @ X2) @ X3)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl48, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @
% 48.07/7.56 (implies @
% 48.07/7.56 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl9493, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 48.07/7.56 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X1) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl6616, zip_derived_cl48])).
% 48.07/7.56 thf(zip_derived_cl10260, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (not @ X0) @ (implies @ (not @ X0) @ X0)) @ X0))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl9493])).
% 48.07/7.56 thf(zip_derived_cl12, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 48.07/7.56 (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl48, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @
% 48.07/7.56 (implies @
% 48.07/7.56 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl123, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X1 @ (not @ X2)) @
% 48.07/7.56 (implies @ X2 @ (implies @ X1 @ X0))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl48])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl128, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 48.07/7.56 (implies @ (implies @ X1 @ (not @ X2)) @ X3)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl4180, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl10411, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (not @ X0) @ (not @ (not @ X0))) @ X0))),
% 48.07/7.56 inference('sup-', [status(thm)],
% 48.07/7.56 [zip_derived_cl10260, zip_derived_cl4180])).
% 48.07/7.56 thf(zip_derived_cl2, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_2])).
% 48.07/7.56 thf(zip_derived_cl2, plain,
% 48.07/7.56 (![X0 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 48.07/7.56 inference('cnf', [status(esa)], [cn_2])).
% 48.07/7.56 thf(zip_derived_cl29, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X1)
% 48.07/7.56 | (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 48.07/7.56 (implies @ X2 @ X3))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl145, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X3)
% 48.07/7.56 | (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ X1 @ X0) @ X4) @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X0) @ X4))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl4956, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X3)
% 48.07/7.56 | (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X1) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X1) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl5012, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X2) @ X1) @ X0) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ X2))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4956])).
% 48.07/7.56 thf(zip_derived_cl13, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X0 @ X1) @
% 48.07/7.56 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl40, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 48.07/7.56 (implies @ (implies @ X1 @ X0) @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl289, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ (not @ X2) @ X2) @ X1) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl5099, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ X1)
% 48.07/7.56 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl5012, zip_derived_cl289])).
% 48.07/7.56 thf(zip_derived_cl48, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 48.07/7.56 | ~ (is_a_theorem @
% 48.07/7.56 (implies @
% 48.07/7.56 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl5199, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 48.07/7.56 | (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl5099, zip_derived_cl48])).
% 48.07/7.56 thf(zip_derived_cl5830, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @
% 48.07/7.56 (implies @ X1 @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5199])).
% 48.07/7.56 thf(zip_derived_cl123, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X1 @ (not @ X2)) @
% 48.07/7.56 (implies @ X2 @ (implies @ X1 @ X0))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl48])).
% 48.07/7.56 thf(zip_derived_cl16, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ X1 @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl130, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl16])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl139, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @
% 48.07/7.56 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3) @
% 48.07/7.56 (implies @ X1 @ X3)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl4543, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ X1 @ X0))
% 48.07/7.56 | ~ (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X3 @ (implies @ (not @ X1) @ X2)) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl22057, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl5830, zip_derived_cl4543])).
% 48.07/7.56 thf(zip_derived_cl7, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl22260, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 (is_a_theorem @
% 48.07/7.56 (implies @ (implies @ (implies @ X1 @ X0) @ X2) @
% 48.07/7.56 (implies @ X0 @ X2)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl22057, zip_derived_cl7])).
% 48.07/7.56 thf(zip_derived_cl0, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i]:
% 48.07/7.56 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 48.07/7.56 | ~ (is_a_theorem @ X0)
% 48.07/7.56 | (is_a_theorem @ X1))),
% 48.07/7.56 inference('cnf', [status(esa)], [condensed_detachment])).
% 48.07/7.56 thf(zip_derived_cl26626, plain,
% 48.07/7.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.07/7.56 ( (is_a_theorem @ (implies @ X1 @ X0))
% 48.07/7.56 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 48.07/7.56 inference('sup-', [status(thm)], [zip_derived_cl22260, zip_derived_cl0])).
% 48.07/7.56 thf(zip_derived_cl26931, plain,
% 48.07/7.56 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 48.07/7.56 inference('sup-', [status(thm)],
% 48.07/7.56 [zip_derived_cl10411, zip_derived_cl26626])).
% 48.07/7.56 thf(zip_derived_cl27037, plain, ($false),
% 48.07/7.56 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl26931])).
% 48.07/7.56
% 48.07/7.56 % SZS output end Refutation
% 48.07/7.56
% 48.07/7.56
% 48.07/7.56 % Terminating...
% 48.07/7.69 % Runner terminated.
% 48.07/7.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------