TSTP Solution File: LCL123-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL123-1 : TPTP v8.1.2. Bugfixed 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.xHCEtFNcUb true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:58:19 EDT 2023
% Result : Unsatisfiable 6.07s 1.46s
% Output : Refutation 6.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL123-1 : TPTP v8.1.2. Bugfixed 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.xHCEtFNcUb true
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 17:28:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 6.07/1.46 % Solved by fo/fo13.sh.
% 6.07/1.46 % done 357 iterations in 0.680s
% 6.07/1.46 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.07/1.46 % SZS output start Refutation
% 6.07/1.46 thf(c_type, type, c: $i).
% 6.07/1.46 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 6.07/1.46 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 6.07/1.46 thf(f_type, type, f: $i).
% 6.07/1.46 thf(b_type, type, b: $i).
% 6.07/1.46 thf(e_type, type, e: $i).
% 6.07/1.46 thf(a_type, type, a: $i).
% 6.07/1.46 thf(lg_2, axiom,
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 ( equivalent @
% 6.07/1.46 X @
% 6.07/1.46 ( equivalent @
% 6.07/1.46 X @
% 6.07/1.46 ( equivalent @
% 6.07/1.46 ( equivalent @ Y @ Z ) @
% 6.07/1.46 ( equivalent @ ( equivalent @ Y @ U ) @ ( equivalent @ Z @ U ) ) ) ) ))).
% 6.07/1.46 thf(zip_derived_cl1, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X2) @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X3))))))),
% 6.07/1.46 inference('cnf', [status(esa)], [lg_2])).
% 6.07/1.46 thf(condensed_detachment, axiom,
% 6.07/1.46 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 6.07/1.46 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 6.07/1.46 thf(zip_derived_cl0, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 6.07/1.46 | ~ (is_a_theorem @ X0)
% 6.07/1.46 | (is_a_theorem @ X1))),
% 6.07/1.46 inference('cnf', [status(esa)], [condensed_detachment])).
% 6.07/1.46 thf(zip_derived_cl4, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ X3)
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @ X3 @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl0, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 6.07/1.46 | ~ (is_a_theorem @ X0)
% 6.07/1.46 | (is_a_theorem @ X1))),
% 6.07/1.46 inference('cnf', [status(esa)], [condensed_detachment])).
% 6.07/1.46 thf(zip_derived_cl5, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ X3)
% 6.07/1.46 | ~ (is_a_theorem @ X3)
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl6, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))
% 6.07/1.46 | ~ (is_a_theorem @ X3))),
% 6.07/1.46 inference('simplify', [status(thm)], [zip_derived_cl5])).
% 6.07/1.46 thf(zip_derived_cl1, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X2) @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X3))))))),
% 6.07/1.46 inference('cnf', [status(esa)], [lg_2])).
% 6.07/1.46 thf(zip_derived_cl10, plain,
% 6.07/1.46 (![X4 : $i, X5 : $i, X6 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X6 @ X5) @
% 6.07/1.46 (equivalent @ (equivalent @ X6 @ X4) @ (equivalent @ X5 @ X4))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 6.07/1.46 thf(zip_derived_cl6, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))
% 6.07/1.46 | ~ (is_a_theorem @ X3))),
% 6.07/1.46 inference('simplify', [status(thm)], [zip_derived_cl5])).
% 6.07/1.46 thf(zip_derived_cl0, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 6.07/1.46 | ~ (is_a_theorem @ X0)
% 6.07/1.46 | (is_a_theorem @ X1))),
% 6.07/1.46 inference('cnf', [status(esa)], [condensed_detachment])).
% 6.07/1.46 thf(zip_derived_cl8, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ X3)
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl23, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ (equivalent @ X2 @ X1) @ X3) @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)) @
% 6.07/1.46 X3)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl0, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 6.07/1.46 | ~ (is_a_theorem @ X0)
% 6.07/1.46 | (is_a_theorem @ X1))),
% 6.07/1.46 inference('cnf', [status(esa)], [condensed_detachment])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl27, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X4) @
% 6.07/1.46 (equivalent @ X0 @ X4))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl0, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 6.07/1.46 | ~ (is_a_theorem @ X0)
% 6.07/1.46 | (is_a_theorem @ X1))),
% 6.07/1.46 inference('cnf', [status(esa)], [condensed_detachment])).
% 6.07/1.46 thf(zip_derived_cl26, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))
% 6.07/1.46 | (is_a_theorem @ X0))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl73, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X0 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X0 @ X0))))),
% 6.07/1.46 inference('eq_fact', [status(thm)], [zip_derived_cl26])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl104, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X0 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl169, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X4 @ X3) @ X1))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X1 @ X0))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl104])).
% 6.07/1.46 thf(zip_derived_cl26, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))
% 6.07/1.46 | (is_a_theorem @ X0))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl451, plain,
% 6.07/1.46 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X1))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X1) @ X4))
% 6.07/1.46 | (is_a_theorem @ X4))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl26])).
% 6.07/1.46 thf(zip_derived_cl524, plain,
% 6.07/1.46 (![X0 : $i]:
% 6.07/1.46 ( (is_a_theorem @ X0)
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X0) @ X0)))),
% 6.07/1.46 inference('eq_fact', [status(thm)], [zip_derived_cl451])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl539, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X1) @ (equivalent @ X1 @ X0))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl24])).
% 6.07/1.46 thf(zip_derived_cl104, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X0 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl548, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X0 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X0))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl539, zip_derived_cl104])).
% 6.07/1.46 thf(zip_derived_cl10, plain,
% 6.07/1.46 (![X4 : $i, X5 : $i, X6 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X6 @ X5) @
% 6.07/1.46 (equivalent @ (equivalent @ X6 @ X4) @ (equivalent @ X5 @ X4))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 6.07/1.46 thf(zip_derived_cl585, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X1 @ X0)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl548, zip_derived_cl10])).
% 6.07/1.46 thf(zip_derived_cl548, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X0 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X0))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl539, zip_derived_cl104])).
% 6.07/1.46 thf(zip_derived_cl631, plain,
% 6.07/1.46 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl548])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(prove_lg_4, conjecture,
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 ( equivalent @
% 6.07/1.46 ( equivalent @
% 6.07/1.46 ( equivalent @ a @ ( equivalent @ b @ c ) ) @
% 6.07/1.46 ( equivalent @ e @ ( equivalent @ b @ f ) ) ) @
% 6.07/1.46 ( equivalent @ a @ ( equivalent @ e @ ( equivalent @ c @ f ) ) ) ))).
% 6.07/1.46 thf(zf_stmt_0, negated_conjecture,
% 6.07/1.46 (~( is_a_theorem @
% 6.07/1.46 ( equivalent @
% 6.07/1.46 ( equivalent @
% 6.07/1.46 ( equivalent @ a @ ( equivalent @ b @ c ) ) @
% 6.07/1.46 ( equivalent @ e @ ( equivalent @ b @ f ) ) ) @
% 6.07/1.46 ( equivalent @ a @ ( equivalent @ e @ ( equivalent @ c @ f ) ) ) ) )),
% 6.07/1.46 inference('cnf.neg', [status(esa)], [prove_lg_4])).
% 6.07/1.46 thf(zip_derived_cl2, plain,
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ e @ (equivalent @ b @ f))) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f)))))),
% 6.07/1.46 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.07/1.46 thf(zip_derived_cl0, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 6.07/1.46 | ~ (is_a_theorem @ X0)
% 6.07/1.46 | (is_a_theorem @ X1))),
% 6.07/1.46 inference('cnf', [status(esa)], [condensed_detachment])).
% 6.07/1.46 thf(zip_derived_cl3, plain,
% 6.07/1.46 (![X0 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ e @ (equivalent @ b @ f))) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f))))))
% 6.07/1.46 | ~ (is_a_theorem @ X0))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl28, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ e @ (equivalent @ b @ f))) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f))))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl3])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl31, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X0 @ X1) @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f))) @ X1)))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ e @ (equivalent @ b @ f))))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl4, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ X3)
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @ X3 @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl76, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ e @ (equivalent @ b @ f)))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ (equivalent @ a @ X0) @
% 6.07/1.46 (equivalent @ (equivalent @ e @ (equivalent @ c @ f)) @ X0)))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl4])).
% 6.07/1.46 thf(zip_derived_cl10, plain,
% 6.07/1.46 (![X4 : $i, X5 : $i, X6 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X6 @ X5) @
% 6.07/1.46 (equivalent @ (equivalent @ X6 @ X4) @ (equivalent @ X5 @ X4))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 6.07/1.46 thf(zip_derived_cl157, plain,
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f))) @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ e @ (equivalent @ b @ f)))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl10])).
% 6.07/1.46 thf(zip_derived_cl26, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))
% 6.07/1.46 | (is_a_theorem @ X0))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl52, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X0 @ X3)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl343, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X0) @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ e @ (equivalent @ b @ f))) @
% 6.07/1.46 X0)))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f))))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl52])).
% 6.07/1.46 thf(zip_derived_cl4, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ X3)
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @ X3 @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl391, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f)))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @ X0) @
% 6.07/1.46 (equivalent @ (equivalent @ e @ (equivalent @ b @ f)) @ X0)))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl343, zip_derived_cl4])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl405, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ (equivalent @ e @ (equivalent @ b @ f)) @ X0)) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f)))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @ X0))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl1, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X2) @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X3))))))),
% 6.07/1.46 inference('cnf', [status(esa)], [lg_2])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl19, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X4) @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ X3 @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))) @
% 6.07/1.46 X4)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl0, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 6.07/1.46 | ~ (is_a_theorem @ X0)
% 6.07/1.46 | (is_a_theorem @ X1))),
% 6.07/1.46 inference('cnf', [status(esa)], [condensed_detachment])).
% 6.07/1.46 thf(zip_derived_cl43, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ X4 @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ X4 @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X2) @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl714, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ (equivalent @ e @ X0) @
% 6.07/1.46 (equivalent @ (equivalent @ b @ f) @ X0)))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f))))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl405, zip_derived_cl43])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl797, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ X1 @
% 6.07/1.46 (equivalent @ (equivalent @ e @ X0) @
% 6.07/1.46 (equivalent @ (equivalent @ b @ f) @ X0))) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f)))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ X1 @ (equivalent @ a @ (equivalent @ b @ c)))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl714, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl861, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ X1 @ (equivalent @ (equivalent @ b @ f) @ X0)) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ b @ c))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ (equivalent @ e @ X0)) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f))))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl797, zip_derived_cl24])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl866, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ e @ X0)) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ e @ (equivalent @ c @ f)))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ (equivalent @ b @ f)) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ b @ c)))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl861, zip_derived_cl24])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl873, plain,
% 6.07/1.46 (![X0 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X0 @ (equivalent @ b @ f)) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ b @ c))))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X0 @ (equivalent @ c @ f)) @ a)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl866, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl880, plain,
% 6.07/1.46 (![X0 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X0 @ f) @ (equivalent @ c @ f)) @ a))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X0 @ b) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ b @ c)))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl873, zip_derived_cl24])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl938, plain,
% 6.07/1.46 (![X0 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X0 @ b) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ b @ c))))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ c) @ a)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl880, zip_derived_cl24])).
% 6.07/1.46 thf(zip_derived_cl52, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X0 @ X3)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl942, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ c) @ a))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @ X1)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X0 @ b))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl52])).
% 6.07/1.46 thf(zip_derived_cl631, plain,
% 6.07/1.46 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl548])).
% 6.07/1.46 thf(zip_derived_cl1027, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ (equivalent @ X0 @ b) @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @ X1)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ c) @ a)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl942, zip_derived_cl631])).
% 6.07/1.46 thf(zip_derived_cl631, plain,
% 6.07/1.46 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl548])).
% 6.07/1.46 thf(zip_derived_cl26, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))
% 6.07/1.46 | (is_a_theorem @ X0))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl679, plain,
% 6.07/1.46 (![X1 : $i, X2 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X1) @ X2))
% 6.07/1.46 | (is_a_theorem @ X2))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl631, zip_derived_cl26])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl751, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl679, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl1350, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ c) @ a))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @ X0) @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ b) @ X0))))),
% 6.07/1.46 inference('s_sup+', [status(thm)],
% 6.07/1.46 [zip_derived_cl1027, zip_derived_cl751])).
% 6.07/1.46 thf(zip_derived_cl4, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ X3)
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @ X3 @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl1755, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ c) @ a))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ b @ X0)))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl1350, zip_derived_cl4])).
% 6.07/1.46 thf(zip_derived_cl18, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 ( (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 6.07/1.46 thf(zip_derived_cl1922, plain,
% 6.07/1.46 (![X0 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ c) @ a))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ a @ (equivalent @ X0 @ c))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl1755, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl751, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl679, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl1925, plain,
% 6.07/1.46 (![X0 : $i]: ~ (is_a_theorem @ (equivalent @ a @ (equivalent @ X0 @ c)))),
% 6.07/1.46 inference('clc', [status(thm)], [zip_derived_cl1922, zip_derived_cl751])).
% 6.07/1.46 thf(zip_derived_cl52, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X0 @ X3)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl1929, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.07/1.46 (~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X2 @ X1) @
% 6.07/1.46 (equivalent @ (equivalent @ X0 @ c) @ X1)))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X2 @ a)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl1925, zip_derived_cl52])).
% 6.07/1.46 thf(zip_derived_cl1950, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ a @ X0) @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ c) @ X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)],
% 6.07/1.46 [zip_derived_cl631, zip_derived_cl1929])).
% 6.07/1.46 thf(zip_derived_cl751, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl679, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl1958, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ (equivalent @ X1 @ c) @ X0) @
% 6.07/1.46 (equivalent @ a @ X0)))),
% 6.07/1.46 inference('s_sup+', [status(thm)],
% 6.07/1.46 [zip_derived_cl1950, zip_derived_cl751])).
% 6.07/1.46 thf(zip_derived_cl24, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 6.07/1.46 | (is_a_theorem @
% 6.07/1.46 (equivalent @
% 6.07/1.46 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)) @
% 6.07/1.46 X0)))),
% 6.07/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.07/1.46 thf(zip_derived_cl1974, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X0) @
% 6.07/1.46 (equivalent @ a @ (equivalent @ X0 @ c))))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl1958, zip_derived_cl24])).
% 6.07/1.46 thf(zip_derived_cl751, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 6.07/1.46 | ~ (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl679, zip_derived_cl18])).
% 6.07/1.46 thf(zip_derived_cl2025, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i]:
% 6.07/1.46 ~ (is_a_theorem @
% 6.07/1.46 (equivalent @ (equivalent @ a @ (equivalent @ X0 @ c)) @
% 6.07/1.46 (equivalent @ X1 @ X0)))),
% 6.07/1.46 inference('s_sup+', [status(thm)],
% 6.07/1.46 [zip_derived_cl1974, zip_derived_cl751])).
% 6.07/1.46 thf(zip_derived_cl1, plain,
% 6.07/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.07/1.46 (is_a_theorem @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ X0 @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X2) @
% 6.07/1.46 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X3))))))),
% 6.07/1.46 inference('cnf', [status(esa)], [lg_2])).
% 6.07/1.46 thf(zip_derived_cl2047, plain, ($false),
% 6.07/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl2025, zip_derived_cl1])).
% 6.07/1.46
% 6.07/1.46 % SZS output end Refutation
% 6.07/1.46
% 6.07/1.46
% 6.07/1.46 % Terminating...
% 6.62/1.55 % Runner terminated.
% 6.62/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------