TSTP Solution File: LCL402-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL402-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BKlqbPnlQy true
% Computer : n008.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 08:59:32 EDT 2023
% Result : Unsatisfiable 59.43s 9.19s
% Output : Refutation 59.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL402-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BKlqbPnlQy true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 05:06:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 59.43/9.19 % Solved by fo/fo5.sh.
% 59.43/9.19 % done 6037 iterations in 8.380s
% 59.43/9.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 59.43/9.19 % SZS output start Refutation
% 59.43/9.19 thf(y_type, type, y: $i).
% 59.43/9.19 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 59.43/9.19 thf(implies_type, type, implies: $i > $i > $i).
% 59.43/9.19 thf(not_type, type, not: $i > $i).
% 59.43/9.19 thf(x_type, type, x: $i).
% 59.43/9.19 thf(prove_cn_68, conjecture,
% 59.43/9.19 (is_a_theorem @ ( implies @ ( not @ ( implies @ x @ ( not @ y ) ) ) @ y ))).
% 59.43/9.19 thf(zf_stmt_0, negated_conjecture,
% 59.43/9.19 (~( is_a_theorem @
% 59.43/9.19 ( implies @ ( not @ ( implies @ x @ ( not @ y ) ) ) @ y ) )),
% 59.43/9.19 inference('cnf.neg', [status(esa)], [prove_cn_68])).
% 59.43/9.19 thf(zip_derived_cl4, plain,
% 59.43/9.19 (~ (is_a_theorem @ (implies @ (not @ (implies @ x @ (not @ y))) @ y))),
% 59.43/9.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 59.43/9.19 thf(cn_2, axiom,
% 59.43/9.19 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 59.43/9.19 thf(zip_derived_cl2, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_2])).
% 59.43/9.19 thf(zip_derived_cl2, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_2])).
% 59.43/9.19 thf(zip_derived_cl2, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_2])).
% 59.43/9.19 thf(cn_1, axiom,
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 ( implies @
% 59.43/9.19 ( implies @ X @ Y ) @
% 59.43/9.19 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 59.43/9.19 thf(zip_derived_cl1, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X0 @ X1) @
% 59.43/9.19 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_1])).
% 59.43/9.19 thf(condensed_detachment, axiom,
% 59.43/9.19 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 59.43/9.19 ( is_a_theorem @ Y ))).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl13, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X0 @ X1) @
% 59.43/9.19 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl39, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl57, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @
% 59.43/9.19 (implies @ (not @ (implies @ (not @ X0) @ X0)) @
% 59.43/9.19 (implies @ (not @ X0) @ X0)) @
% 59.43/9.19 X0))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl39])).
% 59.43/9.19 thf(zip_derived_cl2, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_2])).
% 59.43/9.19 thf(cn_3, axiom,
% 59.43/9.19 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 59.43/9.19 thf(zip_derived_cl3, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_3])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl6, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ (not @ X1) @ X0)) | ~ (is_a_theorem @ X1))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl15, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X1)
% 59.43/9.19 | (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X0 @ X2) @ (implies @ (not @ X1) @ X2))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl3, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_3])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl12, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 59.43/9.19 (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl16, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl26, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X1)
% 59.43/9.19 | (is_a_theorem @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl29, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X1)
% 59.43/9.19 | (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 59.43/9.19 (implies @ X2 @ X3))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl144, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X3)
% 59.43/9.19 | (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl156, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl144])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl165, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ X2))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl181, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X2)
% 59.43/9.19 | (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ X3))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl6217, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X2)
% 59.43/9.19 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl6674, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ X1))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl6217])).
% 59.43/9.19 thf(zip_derived_cl1, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X0 @ X1) @
% 59.43/9.19 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_1])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl14, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @
% 59.43/9.19 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 59.43/9.19 X3) @
% 59.43/9.19 (implies @ (implies @ X1 @ X2) @ X3)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl48, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @
% 59.43/9.19 (implies @
% 59.43/9.19 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl9560, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X1) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl6674, zip_derived_cl48])).
% 59.43/9.19 thf(zip_derived_cl10425, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (not @ X0) @ (implies @ (not @ X0) @ X0)) @ X0))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl9560])).
% 59.43/9.19 thf(zip_derived_cl12, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 59.43/9.19 (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl48, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @
% 59.43/9.19 (implies @
% 59.43/9.19 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl123, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X1 @ (not @ X2)) @
% 59.43/9.19 (implies @ X2 @ (implies @ X1 @ X0))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl48])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl128, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 59.43/9.19 (implies @ (implies @ X1 @ (not @ X2)) @ X3)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl4287, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl10577, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (not @ X0) @ (not @ (not @ X0))) @ X0))),
% 59.43/9.19 inference('sup-', [status(thm)],
% 59.43/9.19 [zip_derived_cl10425, zip_derived_cl4287])).
% 59.43/9.19 thf(zip_derived_cl2, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_2])).
% 59.43/9.19 thf(zip_derived_cl2, plain,
% 59.43/9.19 (![X0 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 59.43/9.19 inference('cnf', [status(esa)], [cn_2])).
% 59.43/9.19 thf(zip_derived_cl29, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X1)
% 59.43/9.19 | (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 59.43/9.19 (implies @ X2 @ X3))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl145, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X3)
% 59.43/9.19 | (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ X1 @ X0) @ X4) @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X0) @ X4))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl4994, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X3)
% 59.43/9.19 | (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X1) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X1) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl5065, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X2) @ X1) @ X0) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ X2))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4994])).
% 59.43/9.19 thf(zip_derived_cl13, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X0 @ X1) @
% 59.43/9.19 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl40, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 59.43/9.19 (implies @ (implies @ X1 @ X0) @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl290, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ (not @ X2) @ X2) @ X1) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl5152, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ X1)
% 59.43/9.19 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl5065, zip_derived_cl290])).
% 59.43/9.19 thf(zip_derived_cl48, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @
% 59.43/9.19 (implies @
% 59.43/9.19 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl5252, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 59.43/9.19 | (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl5152, zip_derived_cl48])).
% 59.43/9.19 thf(zip_derived_cl5912, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @
% 59.43/9.19 (implies @ X1 @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5252])).
% 59.43/9.19 thf(zip_derived_cl123, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X1 @ (not @ X2)) @
% 59.43/9.19 (implies @ X2 @ (implies @ X1 @ X0))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl48])).
% 59.43/9.19 thf(zip_derived_cl16, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl130, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl16])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl139, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @
% 59.43/9.19 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3) @
% 59.43/9.19 (implies @ X1 @ X3)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl4657, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | ~ (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X3 @ (implies @ (not @ X1) @ X2)) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl22613, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl5912, zip_derived_cl4657])).
% 59.43/9.19 thf(zip_derived_cl7, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl22882, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (implies @ X1 @ X0) @ X2) @
% 59.43/9.19 (implies @ X0 @ X2)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl22613, zip_derived_cl7])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl26949, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl22882, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl27438, plain,
% 59.43/9.19 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 59.43/9.19 inference('sup-', [status(thm)],
% 59.43/9.19 [zip_derived_cl10577, zip_derived_cl26949])).
% 59.43/9.19 thf(zip_derived_cl5912, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @
% 59.43/9.19 (implies @ X1 @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5252])).
% 59.43/9.19 thf(zip_derived_cl4287, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 59.43/9.19 | ~ (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl22612, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @
% 59.43/9.19 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl5912, zip_derived_cl4287])).
% 59.43/9.19 thf(zip_derived_cl0, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 59.43/9.19 | ~ (is_a_theorem @ X0)
% 59.43/9.19 | (is_a_theorem @ X1))),
% 59.43/9.19 inference('cnf', [status(esa)], [condensed_detachment])).
% 59.43/9.19 thf(zip_derived_cl26536, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl22612, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl27607, plain,
% 59.43/9.19 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 59.43/9.19 inference('sup-', [status(thm)],
% 59.43/9.19 [zip_derived_cl27438, zip_derived_cl26536])).
% 59.43/9.19 thf(zip_derived_cl26949, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl22882, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl27849, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ X0 @ (not @ (not @ (implies @ X1 @ X0)))))),
% 59.43/9.19 inference('sup-', [status(thm)],
% 59.43/9.19 [zip_derived_cl27607, zip_derived_cl26949])).
% 59.43/9.19 thf(zip_derived_cl26536, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 ( (is_a_theorem @ (implies @ X1 @ X0))
% 59.43/9.19 | ~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1))))),
% 59.43/9.19 inference('sup-', [status(thm)], [zip_derived_cl22612, zip_derived_cl0])).
% 59.43/9.19 thf(zip_derived_cl29447, plain,
% 59.43/9.19 (![X0 : $i, X1 : $i]:
% 59.43/9.19 (is_a_theorem @ (implies @ (not @ (implies @ X1 @ (not @ X0))) @ X0))),
% 59.43/9.19 inference('sup-', [status(thm)],
% 59.43/9.19 [zip_derived_cl27849, zip_derived_cl26536])).
% 59.43/9.19 thf(zip_derived_cl30400, plain, ($false),
% 59.43/9.19 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl29447])).
% 59.43/9.19
% 59.43/9.19 % SZS output end Refutation
% 59.43/9.19
% 59.43/9.19
% 59.43/9.19 % Terminating...
% 60.62/9.29 % Runner terminated.
% 60.62/9.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------