TSTP Solution File: LCL381-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL381-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vVrhU1ECPt true
% Computer : n001.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 08:59:28 EDT 2023
% Result : Timeout 293.04s 42.90s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL381-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vVrhU1ECPt true
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 23:56:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.18/0.63 % Total configuration time : 435
% 0.18/0.63 % Estimated wc time : 1092
% 0.18/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 293.04/42.90 % Solved by fo/fo6_bce.sh.
% 293.04/42.90 % BCE start: 5
% 293.04/42.90 % BCE eliminated: 0
% 293.04/42.90 % PE start: 5
% 293.04/42.90 logic: neq
% 293.04/42.90 % PE eliminated: 0
% 293.04/42.90 % done 3784 iterations in 42.192s
% 293.04/42.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 293.04/42.90 % SZS output start Refutation
% 293.04/42.90 thf(y_type, type, y: $i).
% 293.04/42.90 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 293.04/42.90 thf(implies_type, type, implies: $i > $i > $i).
% 293.04/42.90 thf(not_type, type, not: $i > $i).
% 293.04/42.90 thf(x_type, type, x: $i).
% 293.04/42.90 thf(z_type, type, z: $i).
% 293.04/42.90 thf(cn_1, axiom,
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 ( implies @
% 293.04/42.90 ( implies @ X @ Y ) @
% 293.04/42.90 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 293.04/42.90 thf(zip_derived_cl1, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X0 @ X1) @
% 293.04/42.90 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_1])).
% 293.04/42.90 thf(condensed_detachment, axiom,
% 293.04/42.90 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 293.04/42.90 ( is_a_theorem @ Y ))).
% 293.04/42.90 thf(zip_derived_cl0, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 293.04/42.90 | ~ (is_a_theorem @ X0)
% 293.04/42.90 | (is_a_theorem @ X1))),
% 293.04/42.90 inference('cnf', [status(esa)], [condensed_detachment])).
% 293.04/42.90 thf(zip_derived_cl6, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl6, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 293.04/42.90 thf(prove_cn_42, conjecture,
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 ( implies @
% 293.04/42.90 ( implies @ ( implies @ ( not @ ( not @ x ) ) @ y ) @ z ) @
% 293.04/42.90 ( implies @ ( implies @ x @ y ) @ z ) ))).
% 293.04/42.90 thf(zf_stmt_0, negated_conjecture,
% 293.04/42.90 (~( is_a_theorem @
% 293.04/42.90 ( implies @
% 293.04/42.90 ( implies @ ( implies @ ( not @ ( not @ x ) ) @ y ) @ z ) @
% 293.04/42.90 ( implies @ ( implies @ x @ y ) @ z ) ) )),
% 293.04/42.90 inference('cnf.neg', [status(esa)], [prove_cn_42])).
% 293.04/42.90 thf(zip_derived_cl4, plain,
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ (not @ x)) @ y) @ z) @
% 293.04/42.90 (implies @ (implies @ x @ y) @ z)))),
% 293.04/42.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 293.04/42.90 thf(zip_derived_cl12, plain,
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ x @ y) @ (implies @ (not @ (not @ x)) @ y)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 293.04/42.90 thf(zip_derived_cl13, plain,
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (not @ (not @ x)) @ x))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 293.04/42.90 thf(cn_3, axiom,
% 293.04/42.90 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 293.04/42.90 thf(zip_derived_cl3, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_3])).
% 293.04/42.90 thf(zip_derived_cl3, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_3])).
% 293.04/42.90 thf(zip_derived_cl6, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl0, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 293.04/42.90 | ~ (is_a_theorem @ X0)
% 293.04/42.90 | (is_a_theorem @ X1))),
% 293.04/42.90 inference('cnf', [status(esa)], [condensed_detachment])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl14, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl22, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ X2 @ (implies @ (not @ (implies @ (not @ X2) @ X1)) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 293.04/42.90 thf(zip_derived_cl6, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 293.04/42.90 thf(cn_2, axiom,
% 293.04/42.90 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 293.04/42.90 thf(zip_derived_cl2, plain,
% 293.04/42.90 (![X0 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_2])).
% 293.04/42.90 thf(zip_derived_cl6, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl17, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl72, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl17])).
% 293.04/42.90 thf(zip_derived_cl94, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X2)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl72])).
% 293.04/42.90 thf(zip_derived_cl249, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 293.04/42.90 (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl94])).
% 293.04/42.90 thf(zip_derived_cl94, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X2)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl72])).
% 293.04/42.90 thf(zip_derived_cl263, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X0 @ X2) @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ (not @ X0)) @ X1) @ X0) @
% 293.04/42.90 X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl94])).
% 293.04/42.90 thf(zip_derived_cl2, plain,
% 293.04/42.90 (![X0 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_2])).
% 293.04/42.90 thf(zip_derived_cl249, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 293.04/42.90 (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl94])).
% 293.04/42.90 thf(zip_derived_cl2, plain,
% 293.04/42.90 (![X0 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_2])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl15, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl3, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_3])).
% 293.04/42.90 thf(zip_derived_cl0, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 293.04/42.90 | ~ (is_a_theorem @ X0)
% 293.04/42.90 | (is_a_theorem @ X1))),
% 293.04/42.90 inference('cnf', [status(esa)], [condensed_detachment])).
% 293.04/42.90 thf(zip_derived_cl7, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl6, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl14, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl25, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 293.04/42.90 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 293.04/42.90 thf(zip_derived_cl31, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ X1)
% 293.04/42.90 | (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl25])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl40, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ X1)
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 293.04/42.90 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl187, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 293.04/42.90 | ~ (is_a_theorem @ X1)
% 293.04/42.90 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl40])).
% 293.04/42.90 thf(zip_derived_cl331, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl187])).
% 293.04/42.90 thf(zip_derived_cl1790, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl331])).
% 293.04/42.90 thf(zip_derived_cl2, plain,
% 293.04/42.90 (![X0 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_2])).
% 293.04/42.90 thf(zip_derived_cl2, plain,
% 293.04/42.90 (![X0 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_2])).
% 293.04/42.90 thf(zip_derived_cl40, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ X1)
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 293.04/42.90 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl186, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl40])).
% 293.04/42.90 thf(zip_derived_cl17, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl207, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ X0)
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl186, zip_derived_cl17])).
% 293.04/42.90 thf(zip_derived_cl4003, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ X1)
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl207])).
% 293.04/42.90 thf(zip_derived_cl72, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl17])).
% 293.04/42.90 thf(zip_derived_cl4127, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (not @ X1) @ X1))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl4003, zip_derived_cl72])).
% 293.04/42.90 thf(zip_derived_cl4388, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X0) @ X1) @ X1))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl1790, zip_derived_cl4127])).
% 293.04/42.90 thf(zip_derived_cl0, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 293.04/42.90 | ~ (is_a_theorem @ X0)
% 293.04/42.90 | (is_a_theorem @ X1))),
% 293.04/42.90 inference('cnf', [status(esa)], [condensed_detachment])).
% 293.04/42.90 thf(zip_derived_cl4528, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X1) @ X0))
% 293.04/42.90 | (is_a_theorem @ X0))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl4388, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl4746, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ (not @ X0)) @ X1) @ X0) @ X0))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl263, zip_derived_cl4528])).
% 293.04/42.90 thf(zip_derived_cl2, plain,
% 293.04/42.90 (![X0 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_2])).
% 293.04/42.90 thf(zip_derived_cl14, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl23, plain,
% 293.04/42.90 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 293.04/42.90 thf(zip_derived_cl72, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl17])).
% 293.04/42.90 thf(zip_derived_cl87, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X1 @ X0) @
% 293.04/42.90 (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl72])).
% 293.04/42.90 thf(zip_derived_cl1790, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl331])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl1815, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X0) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1790, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl2195, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ X1 @ (implies @ (implies @ (not @ X0) @ X0) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl1815])).
% 293.04/42.90 thf(zip_derived_cl6, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl1, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X0 @ X1) @
% 293.04/42.90 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_1])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl16, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl61, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X1 @ X3) @
% 293.04/42.90 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl16])).
% 293.04/42.90 thf(zip_derived_cl16, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl424, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ X3 @ (implies @ (implies @ X4 @ X1) @ X0)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X4 @ X2) @
% 293.04/42.90 (implies @ X3 @ (implies @ (implies @ X2 @ X1) @ X0)))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl16])).
% 293.04/42.90 thf(zip_derived_cl4388, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X0) @ X1) @ X1))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl1790, zip_derived_cl4127])).
% 293.04/42.90 thf(zip_derived_cl3, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_3])).
% 293.04/42.90 thf(zip_derived_cl17, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl68, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl17])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl194, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X0 @ X4))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X1) @ X4)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl4544, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X3 @ X2) @
% 293.04/42.90 (implies @ (implies @ X1 @ X1) @ X0)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X3) @ X4) @ X2) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl4388, zip_derived_cl194])).
% 293.04/42.90 thf(zip_derived_cl12979, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X3 @ X3) @
% 293.04/42.90 (implies @ (implies @ X4 @ X1) @ X0)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X4) @ X5) @ X2) @
% 293.04/42.90 (implies @ (implies @ X2 @ X1) @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl424, zip_derived_cl4544])).
% 293.04/42.90 thf(zip_derived_cl13016, plain,
% 293.04/42.90 (![X0 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ (not @ X0)) @ X3) @ X2) @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl2195, zip_derived_cl12979])).
% 293.04/42.90 thf(zip_derived_cl13016, plain,
% 293.04/42.90 (![X0 : $i, X2 : $i, X3 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ (not @ X0)) @ X3) @ X2) @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl2195, zip_derived_cl12979])).
% 293.04/42.90 thf(zip_derived_cl2, plain,
% 293.04/42.90 (![X0 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 293.04/42.90 inference('cnf', [status(esa)], [cn_2])).
% 293.04/42.90 thf(zip_derived_cl25, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 293.04/42.90 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 293.04/42.90 thf(zip_derived_cl30, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ X0 @
% 293.04/42.90 (implies @ (implies @ (not @ (not @ X0)) @ (not @ X0)) @ X1)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl25])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl63, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @
% 293.04/42.90 (implies @ (implies @ (not @ (not @ X1)) @ (not @ X1)) @ X0) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl13111, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X0 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl13016, zip_derived_cl63])).
% 293.04/42.90 thf(zip_derived_cl15, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 293.04/42.90 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl1790, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl331])).
% 293.04/42.90 thf(zip_derived_cl186, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl40])).
% 293.04/42.90 thf(zip_derived_cl94, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X2)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl72])).
% 293.04/42.90 thf(zip_derived_cl246, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (not @ X0) @ X0))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ X2))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl186, zip_derived_cl94])).
% 293.04/42.90 thf(zip_derived_cl1846, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ X0 @ X0) @ X1) @
% 293.04/42.90 (implies @ X2 @ X1)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl1790, zip_derived_cl246])).
% 293.04/42.90 thf(zip_derived_cl194, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X0 @ X4))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X1) @ X4)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl3516, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ X4 @ X3) @
% 293.04/42.90 (implies @ (implies @ X2 @ X2) @ X0)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ X4) @ X5) @ X3) @
% 293.04/42.90 (implies @ X1 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl1846, zip_derived_cl194])).
% 293.04/42.90 thf(zip_derived_cl3870, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ X2 @ (implies @ (implies @ X1 @ X1) @ X0)))
% 293.04/42.90 | (is_a_theorem @
% 293.04/42.90 (implies @
% 293.04/42.90 (implies @ (implies @ (not @ (not @ X2)) @ X4) @ X2) @
% 293.04/42.90 (implies @ X3 @ X0))))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl3516])).
% 293.04/42.90 thf(zip_derived_cl13678, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ (not @ (not @ X0)) @ X2) @ X0) @
% 293.04/42.90 (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl13111, zip_derived_cl3870])).
% 293.04/42.90 thf(zip_derived_cl63, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @
% 293.04/42.90 (implies @ (implies @ (not @ (not @ X1)) @ (not @ X1)) @ X0) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl13770, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl13678, zip_derived_cl63])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl13833, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl13770, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl14170, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i]:
% 293.04/42.90 (is_a_theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl13016, zip_derived_cl13833])).
% 293.04/42.90 thf(zip_derived_cl11, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 293.04/42.90 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 293.04/42.90 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 293.04/42.90 thf(zip_derived_cl15335, plain,
% 293.04/42.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 293.04/42.90 (~ (is_a_theorem @
% 293.04/42.90 (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X2))
% 293.04/42.90 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl14170, zip_derived_cl11])).
% 293.04/42.90 thf(zip_derived_cl98099, plain,
% 293.04/42.90 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 293.04/42.90 inference('s_sup-', [status(thm)],
% 293.04/42.90 [zip_derived_cl4746, zip_derived_cl15335])).
% 293.04/42.90 thf(zip_derived_cl98243, plain, ($false),
% 293.04/42.90 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl98099])).
% 293.04/42.90
% 293.04/42.90 % SZS output end Refutation
% 293.04/42.90
% 293.04/42.90
% 293.04/42.90 % Terminating...
% 293.28/43.02 % Runner terminated.
% 293.28/43.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------