TSTP Solution File: LCL166-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL166-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mx5yJuqMKs true
% Computer : n017.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 08:58:27 EDT 2023
% Result : Unsatisfiable 174.04s 25.89s
% Output : Refutation 174.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : LCL166-1 : TPTP v8.1.2. Released v1.0.0.
% 0.16/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mx5yJuqMKs true
% 0.17/0.38 % Computer : n017.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Thu Aug 24 16:45:54 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.17/0.38 % Running portfolio for 300 s
% 0.17/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.38 % Number of cores: 8
% 0.17/0.38 % Python version: Python 3.6.8
% 0.17/0.39 % Running in FO mode
% 0.25/0.69 % Total configuration time : 435
% 0.25/0.69 % Estimated wc time : 1092
% 0.25/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 174.04/25.89 % Solved by fo/fo7.sh.
% 174.04/25.89 % done 25176 iterations in 25.073s
% 174.04/25.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 174.04/25.89 % SZS output start Refutation
% 174.04/25.89 thf(a_type, type, a: $i).
% 174.04/25.89 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 174.04/25.89 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 174.04/25.89 thf(c_type, type, c: $i).
% 174.04/25.89 thf(b_type, type, b: $i).
% 174.04/25.89 thf(prove_um, conjecture,
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 ( equivalent @
% 174.04/25.89 ( equivalent @ ( equivalent @ a @ b ) @ c ) @
% 174.04/25.89 ( equivalent @ b @ ( equivalent @ c @ a ) ) ))).
% 174.04/25.89 thf(zf_stmt_0, negated_conjecture,
% 174.04/25.89 (~( is_a_theorem @
% 174.04/25.89 ( equivalent @
% 174.04/25.89 ( equivalent @ ( equivalent @ a @ b ) @ c ) @
% 174.04/25.89 ( equivalent @ b @ ( equivalent @ c @ a ) ) ) )),
% 174.04/25.89 inference('cnf.neg', [status(esa)], [prove_um])).
% 174.04/25.89 thf(zip_derived_cl2, plain,
% 174.04/25.89 (~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 174.04/25.89 (equivalent @ b @ (equivalent @ c @ a))))),
% 174.04/25.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 174.04/25.89 thf(xhn, axiom,
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 ( equivalent @
% 174.04/25.89 X @
% 174.04/25.89 ( equivalent @
% 174.04/25.89 ( equivalent @ Y @ Z ) @ ( equivalent @ ( equivalent @ Z @ X ) @ Y ) ) ))).
% 174.04/25.89 thf(zip_derived_cl1, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 (equivalent @ X0 @
% 174.04/25.89 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.89 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.89 thf(zip_derived_cl1, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 (equivalent @ X0 @
% 174.04/25.89 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.89 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.89 thf(zip_derived_cl1, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 (equivalent @ X0 @
% 174.04/25.89 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.89 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.89 thf(condensed_detachment, axiom,
% 174.04/25.89 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 174.04/25.89 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 174.04/25.89 thf(zip_derived_cl0, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ X1))),
% 174.04/25.89 inference('cnf', [status(esa)], [condensed_detachment])).
% 174.04/25.89 thf(zip_derived_cl3, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl1, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 (equivalent @ X0 @
% 174.04/25.89 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.89 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.89 thf(zip_derived_cl1, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 (equivalent @ X0 @
% 174.04/25.89 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.89 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.89 thf(zip_derived_cl3, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl1, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 (equivalent @ X0 @
% 174.04/25.89 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.89 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.89 thf(zip_derived_cl3, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl3, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl0, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ X1))),
% 174.04/25.89 inference('cnf', [status(esa)], [condensed_detachment])).
% 174.04/25.89 thf(zip_derived_cl4, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ X0 @ X2)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl6, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @
% 174.04/25.89 (equivalent @
% 174.04/25.89 (equivalent @ (equivalent @ (equivalent @ X2 @ X1) @ X0) @ X3) @
% 174.04/25.89 (equivalent @ X0 @ X2)))
% 174.04/25.89 | ~ (is_a_theorem @ X3))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 174.04/25.89 thf(zip_derived_cl0, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ X1))),
% 174.04/25.89 inference('cnf', [status(esa)], [condensed_detachment])).
% 174.04/25.89 thf(zip_derived_cl7, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ X3)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 174.04/25.89 | ~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ (equivalent @ X0 @ X3) @ X1) @ X2)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl9, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 174.04/25.89 ( (is_a_theorem @ (equivalent @ X1 @ X3))
% 174.04/25.89 | ~ (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X4) @
% 174.04/25.89 (equivalent @
% 174.04/25.89 (equivalent @ X4 @ (equivalent @ (equivalent @ X3 @ X2) @ X1)) @
% 174.04/25.89 X0))))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 174.04/25.89 thf(zip_derived_cl22, plain,
% 174.04/25.89 (![X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X2)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X1 @ X3)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 174.04/25.89 thf(zip_derived_cl23, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X3) @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ (equivalent @ X2 @ X1)) @ X0)) @
% 174.04/25.89 X2))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl22])).
% 174.04/25.89 thf(zip_derived_cl23, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X3) @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ (equivalent @ X2 @ X1)) @ X0)) @
% 174.04/25.89 X2))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl22])).
% 174.04/25.89 thf(zip_derived_cl1, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 (equivalent @ X0 @
% 174.04/25.89 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.89 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.89 thf(zip_derived_cl3, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl7, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ X3)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 174.04/25.89 | ~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ (equivalent @ X0 @ X3) @ X1) @ X2)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl10, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X2)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X3 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | ~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X1 @ X0))))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 174.04/25.89 thf(zip_derived_cl12, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ (equivalent @ X2 @ X1)) @ X0))
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X0 @ X3)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 174.04/25.89 thf(zip_derived_cl115, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ (equivalent @ X0 @ X2)) @
% 174.04/25.89 (equivalent @ X0 @ (equivalent @ X1 @ X3)))))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl12])).
% 174.04/25.89 thf(zip_derived_cl12, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ (equivalent @ X2 @ X1)) @ X0))
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X0 @ X3)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 174.04/25.89 thf(zip_derived_cl250, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | ~ (is_a_theorem @ X3)
% 174.04/25.89 | ~ (is_a_theorem @ X3)
% 174.04/25.89 | (is_a_theorem @
% 174.04/25.89 (equivalent @ X2 @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X0))))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl12])).
% 174.04/25.89 thf(zip_derived_cl253, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ X2 @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X3)
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('simplify', [status(thm)], [zip_derived_cl250])).
% 174.04/25.89 thf(zip_derived_cl325, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ X2 @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('condensation', [status(thm)], [zip_derived_cl253])).
% 174.04/25.89 thf(zip_derived_cl3, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl10, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X2)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X3 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | ~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X1 @ X0))))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 174.04/25.89 thf(zip_derived_cl13, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X2 @ X1)))
% 174.04/25.89 | ~ (is_a_theorem @ X2))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 174.04/25.89 thf(zip_derived_cl0, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ X1))),
% 174.04/25.89 inference('cnf', [status(esa)], [condensed_detachment])).
% 174.04/25.89 thf(zip_derived_cl27, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | ~ (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ X2))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl36, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | ~ (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('simplify', [status(thm)], [zip_derived_cl27])).
% 174.04/25.89 thf(zip_derived_cl55, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i]:
% 174.04/25.89 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ X1)
% 174.04/25.89 | ~ (is_a_theorem @ X0))),
% 174.04/25.89 inference('condensation', [status(thm)], [zip_derived_cl36])).
% 174.04/25.89 thf(zip_derived_cl3, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl55, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i]:
% 174.04/25.89 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ X1)
% 174.04/25.89 | ~ (is_a_theorem @ X0))),
% 174.04/25.89 inference('condensation', [status(thm)], [zip_derived_cl36])).
% 174.04/25.89 thf(zip_derived_cl4, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ X0 @ X2)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl57, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X0)
% 174.04/25.89 | ~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X2))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl4])).
% 174.04/25.89 thf(zip_derived_cl1, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (is_a_theorem @
% 174.04/25.89 (equivalent @ X0 @
% 174.04/25.89 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.89 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.89 thf(zip_derived_cl4, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ X0 @ X2)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl5, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @
% 174.04/25.89 (equivalent @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)) @
% 174.04/25.89 X3) @
% 174.04/25.89 X1))
% 174.04/25.89 | ~ (is_a_theorem @ X3))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 174.04/25.89 thf(zip_derived_cl3, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl22, plain,
% 174.04/25.89 (![X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X2)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X1 @ X3)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 174.04/25.89 thf(zip_derived_cl24, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ (equivalent @ X2 @ X1) @ X0) @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ X2))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl22])).
% 174.04/25.89 thf(zip_derived_cl0, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ X1))),
% 174.04/25.89 inference('cnf', [status(esa)], [condensed_detachment])).
% 174.04/25.89 thf(zip_derived_cl76, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ X0)
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 174.04/25.89 thf(zip_derived_cl122, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ X0)
% 174.04/25.89 | ~ (is_a_theorem @ X1)
% 174.04/25.89 | ~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X3) @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ X0) @ X2))))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl76])).
% 174.04/25.89 thf(zip_derived_cl128, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.89 (~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X3) @
% 174.04/25.89 (equivalent @ (equivalent @ X3 @ X0) @ X2)))
% 174.04/25.89 | (is_a_theorem @ X0)
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('simplify', [status(thm)], [zip_derived_cl122])).
% 174.04/25.89 thf(zip_derived_cl155, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.89 | (is_a_theorem @ X1))),
% 174.04/25.89 inference('condensation', [status(thm)], [zip_derived_cl128])).
% 174.04/25.89 thf(zip_derived_cl158, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl155])).
% 174.04/25.89 thf(zip_derived_cl186, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 174.04/25.89 | ~ (is_a_theorem @ X0))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl158])).
% 174.04/25.89 thf(zip_derived_cl192, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X0)
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ X1))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl186])).
% 174.04/25.89 thf(zip_derived_cl201, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ X0))),
% 174.04/25.89 inference('simplify', [status(thm)], [zip_derived_cl192])).
% 174.04/25.89 thf(zip_derived_cl206, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X0)
% 174.04/25.89 | (is_a_theorem @ X1)
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 174.04/25.89 inference('condensation', [status(thm)], [zip_derived_cl201])).
% 174.04/25.89 thf(zip_derived_cl331, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ X2)
% 174.04/25.89 | ~ (is_a_theorem @
% 174.04/25.89 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X0)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl325, zip_derived_cl206])).
% 174.04/25.89 thf(zip_derived_cl396, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @ (equivalent @ X0 @ X2))
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X0 @ X1))))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl331])).
% 174.04/25.89 thf(zip_derived_cl437, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl396])).
% 174.04/25.89 thf(zip_derived_cl462, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 (~ (is_a_theorem @ X1)
% 174.04/25.89 | (is_a_theorem @
% 174.04/25.89 (equivalent @
% 174.04/25.89 (equivalent @ (equivalent @ (equivalent @ X2 @ X1) @ X0) @ X0) @
% 174.04/25.89 X2)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl437])).
% 174.04/25.89 thf(zip_derived_cl437, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.89 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1))
% 174.04/25.89 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 174.04/25.89 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl396])).
% 174.04/25.89 thf(zip_derived_cl485, plain,
% 174.04/25.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ X2)
% 174.04/25.90 | (is_a_theorem @
% 174.04/25.90 (equivalent @
% 174.04/25.90 (equivalent @ X0 @ (equivalent @ (equivalent @ X0 @ X2) @ X1)) @
% 174.04/25.90 X1)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl462, zip_derived_cl437])).
% 174.04/25.90 thf(zip_derived_cl0, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 174.04/25.90 | ~ (is_a_theorem @ X0)
% 174.04/25.90 | (is_a_theorem @ X1))),
% 174.04/25.90 inference('cnf', [status(esa)], [condensed_detachment])).
% 174.04/25.90 thf(zip_derived_cl491, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ X1)
% 174.04/25.90 | (is_a_theorem @ X0)
% 174.04/25.90 | ~ (is_a_theorem @
% 174.04/25.90 (equivalent @ X2 @ (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl485, zip_derived_cl0])).
% 174.04/25.90 thf(zip_derived_cl593, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 ( (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X0))
% 174.04/25.90 | ~ (is_a_theorem @ X1))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl491])).
% 174.04/25.90 thf(zip_derived_cl437, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1))
% 174.04/25.90 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl396])).
% 174.04/25.90 thf(zip_derived_cl616, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ X1)
% 174.04/25.90 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X1) @ X0)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl593, zip_derived_cl437])).
% 174.04/25.90 thf(zip_derived_cl22, plain,
% 174.04/25.90 (![X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X1))
% 174.04/25.90 | ~ (is_a_theorem @ X2)
% 174.04/25.90 | (is_a_theorem @ (equivalent @ X1 @ X3)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 174.04/25.90 thf(zip_derived_cl647, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ X1)
% 174.04/25.90 | (is_a_theorem @ (equivalent @ X0 @ X0))
% 174.04/25.90 | ~ (is_a_theorem @ X1))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl22])).
% 174.04/25.90 thf(zip_derived_cl655, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 ( (is_a_theorem @ (equivalent @ X0 @ X0)) | ~ (is_a_theorem @ X1))),
% 174.04/25.90 inference('simplify', [status(thm)], [zip_derived_cl647])).
% 174.04/25.90 thf(zip_derived_cl1, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (is_a_theorem @
% 174.04/25.90 (equivalent @ X0 @
% 174.04/25.90 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.90 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.90 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.90 thf(zip_derived_cl684, plain,
% 174.04/25.90 (![X3 : $i]: (is_a_theorem @ (equivalent @ X3 @ X3))),
% 174.04/25.90 inference('sup+', [status(thm)], [zip_derived_cl655, zip_derived_cl1])).
% 174.04/25.90 thf(zip_derived_cl437, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1))
% 174.04/25.90 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl396])).
% 174.04/25.90 thf(zip_derived_cl745, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 (is_a_theorem @
% 174.04/25.90 (equivalent @ (equivalent @ (equivalent @ X1 @ X0) @ X1) @ X0))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl684, zip_derived_cl437])).
% 174.04/25.90 thf(zip_derived_cl22, plain,
% 174.04/25.90 (![X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X1))
% 174.04/25.90 | ~ (is_a_theorem @ X2)
% 174.04/25.90 | (is_a_theorem @ (equivalent @ X1 @ X3)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 174.04/25.90 thf(zip_derived_cl773, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 ( (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X0)))
% 174.04/25.90 | ~ (is_a_theorem @ X1))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl745, zip_derived_cl22])).
% 174.04/25.90 thf(zip_derived_cl437, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1))
% 174.04/25.90 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl396])).
% 174.04/25.90 thf(zip_derived_cl908, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ X2)
% 174.04/25.90 | (is_a_theorem @
% 174.04/25.90 (equivalent @
% 174.04/25.90 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X1) @
% 174.04/25.90 X0)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl773, zip_derived_cl437])).
% 174.04/25.90 thf(zip_derived_cl1, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (is_a_theorem @
% 174.04/25.90 (equivalent @ X0 @
% 174.04/25.90 (equivalent @ (equivalent @ X1 @ X2) @
% 174.04/25.90 (equivalent @ (equivalent @ X2 @ X0) @ X1))))),
% 174.04/25.90 inference('cnf', [status(esa)], [xhn])).
% 174.04/25.90 thf(zip_derived_cl55, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 174.04/25.90 | ~ (is_a_theorem @ X1)
% 174.04/25.90 | ~ (is_a_theorem @ X0))),
% 174.04/25.90 inference('condensation', [status(thm)], [zip_derived_cl36])).
% 174.04/25.90 thf(zip_derived_cl155, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (~ (is_a_theorem @
% 174.04/25.90 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.90 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 174.04/25.90 | (is_a_theorem @ X1))),
% 174.04/25.90 inference('condensation', [status(thm)], [zip_derived_cl128])).
% 174.04/25.90 thf(zip_derived_cl156, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 174.04/25.90 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 174.04/25.90 | (is_a_theorem @ X1))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl155])).
% 174.04/25.90 thf(zip_derived_cl161, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 174.04/25.90 ( (is_a_theorem @ X3)
% 174.04/25.90 | ~ (is_a_theorem @
% 174.04/25.90 (equivalent @
% 174.04/25.90 (equivalent @
% 174.04/25.90 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.90 (equivalent @ (equivalent @ X2 @ X1) @ X0)) @
% 174.04/25.90 X3) @
% 174.04/25.90 X1)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl156])).
% 174.04/25.90 thf(zip_derived_cl51878, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 174.04/25.90 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl908, zip_derived_cl161])).
% 174.04/25.90 thf(zip_derived_cl51922, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (is_a_theorem @
% 174.04/25.90 (equivalent @
% 174.04/25.90 (equivalent @ (equivalent @ X0 @ X2) @
% 174.04/25.90 (equivalent @ (equivalent @ X2 @ X1) @ X0)) @
% 174.04/25.90 X1))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl51878])).
% 174.04/25.90 thf(zip_derived_cl437, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1))
% 174.04/25.90 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl396])).
% 174.04/25.90 thf(zip_derived_cl52791, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (is_a_theorem @
% 174.04/25.90 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 174.04/25.90 (equivalent @ (equivalent @ X2 @ X0) @ X1)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl51922, zip_derived_cl437])).
% 174.04/25.90 thf(zip_derived_cl51878, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i]:
% 174.04/25.90 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 174.04/25.90 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 174.04/25.90 inference('sup-', [status(thm)], [zip_derived_cl908, zip_derived_cl161])).
% 174.04/25.90 thf(zip_derived_cl70597, plain,
% 174.04/25.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.04/25.90 (is_a_theorem @
% 174.04/25.90 (equivalent @ (equivalent @ (equivalent @ X2 @ X1) @ X0) @
% 174.04/25.90 (equivalent @ X1 @ (equivalent @ X0 @ X2))))),
% 174.04/25.90 inference('sup-', [status(thm)],
% 174.04/25.90 [zip_derived_cl52791, zip_derived_cl51878])).
% 174.04/25.90 thf(zip_derived_cl106386, plain, ($false),
% 174.04/25.90 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl70597])).
% 174.04/25.90
% 174.04/25.90 % SZS output end Refutation
% 174.04/25.90
% 174.04/25.90
% 174.04/25.90 % Terminating...
% 174.49/25.95 % Runner terminated.
% 174.49/25.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------