TSTP Solution File: LCL015-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL015-1 : 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.VblGOgLaf7 true
% Computer : n022.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 08:57:50 EDT 2023
% Result : Unsatisfiable 223.94s 33.96s
% Output : Refutation 223.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL015-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VblGOgLaf7 true
% 0.15/0.34 % Computer : n022.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 19:42:40 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % 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
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.39/0.85 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 223.94/33.96 % Solved by fo/fo6_bce.sh.
% 223.94/33.96 % BCE start: 3
% 223.94/33.96 % BCE eliminated: 0
% 223.94/33.96 % PE start: 3
% 223.94/33.96 logic: neq
% 223.94/33.96 % PE eliminated: 0
% 223.94/33.96 % done 3267 iterations in 33.222s
% 223.94/33.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 223.94/33.96 % SZS output start Refutation
% 223.94/33.96 thf(a_type, type, a: $i).
% 223.94/33.96 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 223.94/33.96 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 223.94/33.96 thf(c_type, type, c: $i).
% 223.94/33.96 thf(b_type, type, b: $i).
% 223.94/33.96 thf(prove_wn, conjecture,
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 ( equivalent @
% 223.94/33.96 ( equivalent @ a @ ( equivalent @ b @ c ) ) @
% 223.94/33.96 ( equivalent @ c @ ( equivalent @ a @ b ) ) ))).
% 223.94/33.96 thf(zf_stmt_0, negated_conjecture,
% 223.94/33.96 (~( is_a_theorem @
% 223.94/33.96 ( equivalent @
% 223.94/33.96 ( equivalent @ a @ ( equivalent @ b @ c ) ) @
% 223.94/33.96 ( equivalent @ c @ ( equivalent @ a @ b ) ) ) )),
% 223.94/33.96 inference('cnf.neg', [status(esa)], [prove_wn])).
% 223.94/33.96 thf(zip_derived_cl2, plain,
% 223.94/33.96 (~ (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 223.94/33.96 (equivalent @ c @ (equivalent @ a @ b))))),
% 223.94/33.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 223.94/33.96 thf(yrm, axiom,
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 ( equivalent @
% 223.94/33.96 ( equivalent @ X @ Y ) @
% 223.94/33.96 ( equivalent @ Z @ ( equivalent @ ( equivalent @ Y @ Z ) @ X ) ) ))).
% 223.94/33.96 thf(zip_derived_cl1, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ X1) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X2) @ X0))))),
% 223.94/33.96 inference('cnf', [status(esa)], [yrm])).
% 223.94/33.96 thf(zip_derived_cl1, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ X1) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X2) @ X0))))),
% 223.94/33.96 inference('cnf', [status(esa)], [yrm])).
% 223.94/33.96 thf(zip_derived_cl1, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ X1) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X2) @ X0))))),
% 223.94/33.96 inference('cnf', [status(esa)], [yrm])).
% 223.94/33.96 thf(condensed_detachment, axiom,
% 223.94/33.96 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 223.94/33.96 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 223.94/33.96 thf(zip_derived_cl0, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | (is_a_theorem @ X1))),
% 223.94/33.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 223.94/33.96 thf(zip_derived_cl3, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | (is_a_theorem @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl0, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | (is_a_theorem @ X1))),
% 223.94/33.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 223.94/33.96 thf(zip_derived_cl4, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ X1)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl4, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ X1)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl0, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | (is_a_theorem @ X1))),
% 223.94/33.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 223.94/33.96 thf(zip_derived_cl5, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X1)
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 223.94/33.96 | (is_a_theorem @ X0))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl8, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X1)
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ X3)
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X0 @ X3))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 223.94/33.96 thf(zip_derived_cl17, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 ( (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X1 @ X0))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | ~ (is_a_theorem @ X2))),
% 223.94/33.96 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 223.94/33.96 thf(zip_derived_cl21, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 223.94/33.96 ( (is_a_theorem @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)) @
% 223.94/33.96 X3))
% 223.94/33.96 | ~ (is_a_theorem @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 223.94/33.96 | ~ (is_a_theorem @ X3))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 223.94/33.96 thf(zip_derived_cl1, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ X1) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X2) @ X0))))),
% 223.94/33.96 inference('cnf', [status(esa)], [yrm])).
% 223.94/33.96 thf(zip_derived_cl5, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X1)
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 223.94/33.96 | (is_a_theorem @ X0))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl9, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X3)
% 223.94/33.96 | ~ (is_a_theorem @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)) @
% 223.94/33.96 X3))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X0 @ X2)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 223.94/33.96 thf(zip_derived_cl40, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X0)
% 223.94/33.96 | ~ (is_a_theorem @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X3 @ X2) @ X1)))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X1 @ X3)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl9])).
% 223.94/33.96 thf(zip_derived_cl42, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 223.94/33.96 ( (is_a_theorem @ (equivalent @ X1 @ X3))
% 223.94/33.96 | ~ (is_a_theorem @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X3 @ X2) @ X1)))
% 223.94/33.96 | ~ (is_a_theorem @ X0))),
% 223.94/33.96 inference('simplify', [status(thm)], [zip_derived_cl40])).
% 223.94/33.96 thf(zip_derived_cl58, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 223.94/33.96 | ~ (is_a_theorem @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X0 @ X2) @ X1))))),
% 223.94/33.96 inference('condensation', [status(thm)], [zip_derived_cl42])).
% 223.94/33.96 thf(zip_derived_cl62, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ X2 @ (equivalent @ X0 @ X1))) @
% 223.94/33.96 X0) @
% 223.94/33.96 X2))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 223.94/33.96 thf(zip_derived_cl3, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | (is_a_theorem @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl62, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ X2 @ (equivalent @ X0 @ X1))) @
% 223.94/33.96 X0) @
% 223.94/33.96 X2))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 223.94/33.96 thf(zip_derived_cl3, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | (is_a_theorem @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl1, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ X1) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X2) @ X0))))),
% 223.94/33.96 inference('cnf', [status(esa)], [yrm])).
% 223.94/33.96 thf(zip_derived_cl3, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | (is_a_theorem @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl4, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ X1)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl17, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 ( (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X1 @ X0))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | ~ (is_a_theorem @ X2))),
% 223.94/33.96 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 223.94/33.96 thf(zip_derived_cl20, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X1)
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X0 @ X3))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | ~ (is_a_theorem @ X3))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl17])).
% 223.94/33.96 thf(zip_derived_cl31, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X0)
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X2 @ X0))
% 223.94/33.96 | ~ (is_a_theorem @ X2))),
% 223.94/33.96 inference('condensation', [status(thm)], [zip_derived_cl20])).
% 223.94/33.96 thf(zip_derived_cl32, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ X3)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X1 @ X3))
% 223.94/33.96 | ~ (is_a_theorem @ X1))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl31])).
% 223.94/33.96 thf(zip_derived_cl46, plain,
% 223.94/33.96 (![X3 : $i, X4 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X3)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X4 @ X3))
% 223.94/33.96 | ~ (is_a_theorem @ X4))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl32])).
% 223.94/33.96 thf(zip_derived_cl62, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ X2 @ (equivalent @ X0 @ X1))) @
% 223.94/33.96 X0) @
% 223.94/33.96 X2))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 223.94/33.96 thf(zip_derived_cl0, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | (is_a_theorem @ X1))),
% 223.94/33.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 223.94/33.96 thf(zip_derived_cl63, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ X0 @ (equivalent @ X1 @ X2))) @
% 223.94/33.96 X1))
% 223.94/33.96 | (is_a_theorem @ X0))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 223.94/33.96 thf(zip_derived_cl78, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ X2 @ (equivalent @ X0 @ X1))))
% 223.94/33.96 | ~ (is_a_theorem @ X0)
% 223.94/33.96 | (is_a_theorem @ X2))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl63])).
% 223.94/33.96 thf(zip_derived_cl92, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ X1)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X2 @ X0)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl78])).
% 223.94/33.96 thf(zip_derived_cl103, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ X0 @ (equivalent @ X1 @ X2))))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl92])).
% 223.94/33.96 thf(zip_derived_cl120, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X2))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X0) @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl103])).
% 223.94/33.96 thf(zip_derived_cl125, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ X1) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl120])).
% 223.94/33.96 thf(zip_derived_cl125, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ X1) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl120])).
% 223.94/33.96 thf(zip_derived_cl103, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ X0 @ (equivalent @ X1 @ X2))))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl92])).
% 223.94/33.96 thf(zip_derived_cl157, plain,
% 223.94/33.96 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl103])).
% 223.94/33.96 thf(zip_derived_cl1, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ X1) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X2) @ X0))))),
% 223.94/33.96 inference('cnf', [status(esa)], [yrm])).
% 223.94/33.96 thf(zip_derived_cl46, plain,
% 223.94/33.96 (![X3 : $i, X4 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X3)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X4 @ X3))
% 223.94/33.96 | ~ (is_a_theorem @ X4))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl32])).
% 223.94/33.96 thf(zip_derived_cl103, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ X0 @ (equivalent @ X1 @ X2))))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl92])).
% 223.94/33.96 thf(zip_derived_cl119, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ X0)
% 223.94/33.96 | ~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl103])).
% 223.94/33.96 thf(zip_derived_cl132, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl119])).
% 223.94/33.96 thf(zip_derived_cl176, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ (equivalent @ X1 @ X0) @ X1) @ X0))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl132])).
% 223.94/33.96 thf(zip_derived_cl92, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X2))
% 223.94/33.96 | ~ (is_a_theorem @ X1)
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X2 @ X0)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl78])).
% 223.94/33.96 thf(zip_derived_cl231, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X1 @ X0))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl92])).
% 223.94/33.96 thf(zip_derived_cl265, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @ X0 @ (equivalent @ X2 @ (equivalent @ X1 @ X0))) @
% 223.94/33.96 (equivalent @ X2 @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl231])).
% 223.94/33.96 thf(zip_derived_cl120, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X2))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X0) @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl103])).
% 223.94/33.96 thf(zip_derived_cl1023, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @
% 223.94/33.96 (equivalent @ (equivalent @ X1 @ X0) @
% 223.94/33.96 (equivalent @ X1 @ (equivalent @ X0 @ X2))) @
% 223.94/33.96 X2))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl120])).
% 223.94/33.96 thf(zip_derived_cl132, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl119])).
% 223.94/33.96 thf(zip_derived_cl91925, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X0 @ (equivalent @ X2 @ X1)) @
% 223.94/33.96 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 223.94/33.96 inference('s_sup-', [status(thm)],
% 223.94/33.96 [zip_derived_cl1023, zip_derived_cl132])).
% 223.94/33.96 thf(zip_derived_cl231, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i]:
% 223.94/33.96 (~ (is_a_theorem @ (equivalent @ X1 @ X0))
% 223.94/33.96 | (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 223.94/33.96 inference('s_sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl92])).
% 223.94/33.96 thf(zip_derived_cl92353, plain,
% 223.94/33.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 223.94/33.96 (is_a_theorem @
% 223.94/33.96 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 223.94/33.96 (equivalent @ X0 @ (equivalent @ X2 @ X1))))),
% 223.94/33.96 inference('s_sup-', [status(thm)],
% 223.94/33.96 [zip_derived_cl91925, zip_derived_cl231])).
% 223.94/33.96 thf(zip_derived_cl92989, plain, ($false),
% 223.94/33.96 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl92353])).
% 223.94/33.96
% 223.94/33.96 % SZS output end Refutation
% 223.94/33.96
% 223.94/33.96
% 223.94/33.96 % Terminating...
% 224.69/34.03 % Runner terminated.
% 224.69/34.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------