TSTP Solution File: LCL379-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL379-1 : 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.Njyjirvkeo true
% Computer : n003.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 08:59:27 EDT 2023
% Result : Unsatisfiable 82.55s 12.40s
% Output : Refutation 82.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL379-1 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Njyjirvkeo true
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 07:07:53 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.29/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.29/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.29/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 82.55/12.40 % Solved by fo/fo6_bce.sh.
% 82.55/12.40 % BCE start: 5
% 82.55/12.40 % BCE eliminated: 0
% 82.55/12.40 % PE start: 5
% 82.55/12.40 logic: neq
% 82.55/12.40 % PE eliminated: 0
% 82.55/12.40 % done 2107 iterations in 11.666s
% 82.55/12.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.55/12.40 % SZS output start Refutation
% 82.55/12.40 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 82.55/12.40 thf(implies_type, type, implies: $i > $i > $i).
% 82.55/12.40 thf(not_type, type, not: $i > $i).
% 82.55/12.40 thf(x_type, type, x: $i).
% 82.55/12.40 thf(prove_cn_38, conjecture,
% 82.55/12.40 (is_a_theorem @ ( implies @ ( implies @ x @ ( not @ x ) ) @ ( not @ x ) ))).
% 82.55/12.40 thf(zf_stmt_0, negated_conjecture,
% 82.55/12.40 (~( is_a_theorem @
% 82.55/12.40 ( implies @ ( implies @ x @ ( not @ x ) ) @ ( not @ x ) ) )),
% 82.55/12.40 inference('cnf.neg', [status(esa)], [prove_cn_38])).
% 82.55/12.40 thf(zip_derived_cl4, plain,
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ x @ (not @ x)) @ (not @ x)))),
% 82.55/12.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 82.55/12.40 thf(cn_2, axiom,
% 82.55/12.40 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 82.55/12.40 thf(zip_derived_cl2, plain,
% 82.55/12.40 (![X0 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_2])).
% 82.55/12.40 thf(zip_derived_cl2, plain,
% 82.55/12.40 (![X0 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_2])).
% 82.55/12.40 thf(zip_derived_cl2, plain,
% 82.55/12.40 (![X0 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_2])).
% 82.55/12.40 thf(cn_3, axiom,
% 82.55/12.40 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 82.55/12.40 thf(zip_derived_cl3, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_3])).
% 82.55/12.40 thf(condensed_detachment, axiom,
% 82.55/12.40 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 82.55/12.40 ( is_a_theorem @ Y ))).
% 82.55/12.40 thf(zip_derived_cl0, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 82.55/12.40 | ~ (is_a_theorem @ X0)
% 82.55/12.40 | (is_a_theorem @ X1))),
% 82.55/12.40 inference('cnf', [status(esa)], [condensed_detachment])).
% 82.55/12.40 thf(zip_derived_cl7, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 82.55/12.40 thf(cn_1, axiom,
% 82.55/12.40 (is_a_theorem @
% 82.55/12.40 ( implies @
% 82.55/12.40 ( implies @ X @ Y ) @
% 82.55/12.40 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 82.55/12.40 thf(zip_derived_cl1, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X0 @ X1) @
% 82.55/12.40 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_1])).
% 82.55/12.40 thf(zip_derived_cl0, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 82.55/12.40 | ~ (is_a_theorem @ X0)
% 82.55/12.40 | (is_a_theorem @ X1))),
% 82.55/12.40 inference('cnf', [status(esa)], [condensed_detachment])).
% 82.55/12.40 thf(zip_derived_cl6, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl3, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_3])).
% 82.55/12.40 thf(zip_derived_cl6, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl0, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 82.55/12.40 | ~ (is_a_theorem @ X0)
% 82.55/12.40 | (is_a_theorem @ X1))),
% 82.55/12.40 inference('cnf', [status(esa)], [condensed_detachment])).
% 82.55/12.40 thf(zip_derived_cl11, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl12, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl22, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 82.55/12.40 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 82.55/12.40 thf(zip_derived_cl52, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ X1)
% 82.55/12.40 | (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl22])).
% 82.55/12.40 thf(zip_derived_cl11, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl69, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ X1)
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 82.55/12.40 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl236, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl69])).
% 82.55/12.40 thf(zip_derived_cl6, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl11, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl15, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl249, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ X0)
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl236, zip_derived_cl15])).
% 82.55/12.40 thf(zip_derived_cl567, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ X1)
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl249])).
% 82.55/12.40 thf(zip_derived_cl1, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X0 @ X1) @
% 82.55/12.40 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_1])).
% 82.55/12.40 thf(zip_derived_cl11, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl14, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @
% 82.55/12.40 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl598, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl14])).
% 82.55/12.40 thf(zip_derived_cl3, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_3])).
% 82.55/12.40 thf(zip_derived_cl15, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl43, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 82.55/12.40 thf(zip_derived_cl14, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @
% 82.55/12.40 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl217, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X3 @ (implies @ X2 @ X1)) @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X3)) @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl14])).
% 82.55/12.40 thf(zip_derived_cl34164, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X2) @ X0))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X3 @ (not @ X1)) @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl598, zip_derived_cl217])).
% 82.55/12.40 thf(zip_derived_cl34317, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl34164])).
% 82.55/12.40 thf(zip_derived_cl34317, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl34164])).
% 82.55/12.40 thf(zip_derived_cl12, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl37374, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)],
% 82.55/12.40 [zip_derived_cl34317, zip_derived_cl12])).
% 82.55/12.40 thf(zip_derived_cl11, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl38111, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 82.55/12.40 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)],
% 82.55/12.40 [zip_derived_cl37374, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl38719, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)],
% 82.55/12.40 [zip_derived_cl34317, zip_derived_cl38111])).
% 82.55/12.40 thf(zip_derived_cl6, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl6, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl2, plain,
% 82.55/12.40 (![X0 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_2])).
% 82.55/12.40 thf(zip_derived_cl12, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl20, plain,
% 82.55/12.40 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 82.55/12.40 thf(zip_derived_cl2, plain,
% 82.55/12.40 (![X0 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_2])).
% 82.55/12.40 thf(zip_derived_cl15, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl44, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 82.55/12.40 thf(zip_derived_cl63, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ X1 @ X0) @
% 82.55/12.40 (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl44])).
% 82.55/12.40 thf(zip_derived_cl2, plain,
% 82.55/12.40 (![X0 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_2])).
% 82.55/12.40 thf(zip_derived_cl11, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl13, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl11, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl27, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl138, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @
% 82.55/12.40 (implies @ (not @ (implies @ X1 @ X0)) @ (implies @ X1 @ X0)) @
% 82.55/12.40 X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl27])).
% 82.55/12.40 thf(zip_derived_cl2, plain,
% 82.55/12.40 (![X0 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 82.55/12.40 inference('cnf', [status(esa)], [cn_2])).
% 82.55/12.40 thf(zip_derived_cl20, plain,
% 82.55/12.40 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 82.55/12.40 thf(zip_derived_cl43, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 82.55/12.40 thf(zip_derived_cl13, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl69, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ X1)
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 82.55/12.40 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl11])).
% 82.55/12.40 thf(zip_derived_cl237, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 82.55/12.40 | ~ (is_a_theorem @ X1)
% 82.55/12.40 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl69])).
% 82.55/12.40 thf(zip_derived_cl418, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X1))
% 82.55/12.40 | (is_a_theorem @ (implies @ X4 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl237])).
% 82.55/12.40 thf(zip_derived_cl488, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0))
% 82.55/12.40 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl418])).
% 82.55/12.40 thf(zip_derived_cl1539, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl488])).
% 82.55/12.40 thf(zip_derived_cl567, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ X1)
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl249])).
% 82.55/12.40 thf(zip_derived_cl44, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 82.55/12.40 thf(zip_derived_cl600, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (not @ X1) @ X1))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl44])).
% 82.55/12.40 thf(zip_derived_cl1619, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X0) @ X1) @ X1))),
% 82.55/12.40 inference('s_sup-', [status(thm)],
% 82.55/12.40 [zip_derived_cl1539, zip_derived_cl600])).
% 82.55/12.40 thf(zip_derived_cl43, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 82.55/12.40 | (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 82.55/12.40 thf(zip_derived_cl0, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 82.55/12.40 | ~ (is_a_theorem @ X0)
% 82.55/12.40 | (is_a_theorem @ X1))),
% 82.55/12.40 inference('cnf', [status(esa)], [condensed_detachment])).
% 82.55/12.40 thf(zip_derived_cl209, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 82.55/12.40 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X1))
% 82.55/12.40 | (is_a_theorem @ X0))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 82.55/12.40 thf(zip_derived_cl1794, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (not @ (implies @ X1 @ X1)) @ X2) @ X0))
% 82.55/12.40 | (is_a_theorem @ X0))),
% 82.55/12.40 inference('s_sup-', [status(thm)],
% 82.55/12.40 [zip_derived_cl1619, zip_derived_cl209])).
% 82.55/12.40 thf(zip_derived_cl2272, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X1) @ X0))
% 82.55/12.40 | (is_a_theorem @ X0))),
% 82.55/12.40 inference('s_sup-', [status(thm)],
% 82.55/12.40 [zip_derived_cl138, zip_derived_cl1794])).
% 82.55/12.40 thf(zip_derived_cl2492, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X0) @ X0)))
% 82.55/12.40 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl2272])).
% 82.55/12.40 thf(zip_derived_cl2747, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (~ (is_a_theorem @ (implies @ (not @ X0) @ X1))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl2492])).
% 82.55/12.40 thf(zip_derived_cl40022, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ (implies @ X1 @ X0) @ X1) @ X1))),
% 82.55/12.40 inference('s_sup-', [status(thm)],
% 82.55/12.40 [zip_derived_cl38719, zip_derived_cl2747])).
% 82.55/12.40 thf(zip_derived_cl44, plain,
% 82.55/12.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.55/12.40 (~ (is_a_theorem @
% 82.55/12.40 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 82.55/12.40 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 82.55/12.40 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 82.55/12.40 thf(zip_derived_cl40112, plain,
% 82.55/12.40 (![X0 : $i]:
% 82.55/12.40 (is_a_theorem @ (implies @ (implies @ X0 @ (not @ X0)) @ (not @ X0)))),
% 82.55/12.40 inference('s_sup-', [status(thm)],
% 82.55/12.40 [zip_derived_cl40022, zip_derived_cl44])).
% 82.55/12.40 thf(zip_derived_cl40206, plain, ($false),
% 82.55/12.40 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl40112])).
% 82.55/12.40
% 82.55/12.40 % SZS output end Refutation
% 82.55/12.40
% 82.55/12.40
% 82.55/12.40 % Terminating...
% 82.55/12.49 % Runner terminated.
% 82.55/12.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------