%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL416-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2Z6zHHbBJ8 true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:53 PM UTC 2026
% Result : Unsatisfiable 2.93s 1.04s
% Output : Refutation 2.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL416-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2Z6zHHbBJ8 true
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 12:13:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.12.3
% 0.10/0.38 % Running in FO mode
% 0.39/0.64 % Total configuration time : 435
% 0.39/0.64 % Estimated wc time : 1092
% 0.39/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.93/1.04 % Solved by fo/fo4.sh.
% 2.93/1.04 % done 112 iterations in 0.232s
% 2.93/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.93/1.04 % SZS output start Refutation
% 2.93/1.04 thf(a_type, type, a: $i).
% 2.93/1.04 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 2.93/1.04 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 2.93/1.04 thf(prove_reflexivity, conjecture, (is_a_theorem @ ( equivalent @ a @ a ))).
% 2.93/1.04 thf(zf_stmt_0, negated_conjecture,
% 2.93/1.04 (~( is_a_theorem @ ( equivalent @ a @ a ) )),
% 2.93/1.04 inference('cnf.neg', [status(esa)], [prove_reflexivity])).
% 2.93/1.04 thf(zip_derived_cl2, plain, (~ (is_a_theorem @ (equivalent @ a @ a))),
% 2.93/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.93/1.04 thf(xcb, axiom,
% 2.93/1.04 (is_a_theorem @
% 2.93/1.04 ( equivalent @
% 2.93/1.04 A @
% 2.93/1.04 ( equivalent @
% 2.93/1.04 ( equivalent @ ( equivalent @ A @ B ) @ ( equivalent @ C @ B ) ) @ C ) ))).
% 2.93/1.04 thf(zip_derived_cl1, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (is_a_theorem @
% 2.93/1.04 (equivalent @ X0 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X2 @ X1)) @
% 2.93/1.04 X2)))),
% 2.93/1.04 inference('cnf', [status(esa)], [xcb])).
% 2.93/1.04 thf(zip_derived_cl1, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (is_a_theorem @
% 2.93/1.04 (equivalent @ X0 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X2 @ X1)) @
% 2.93/1.04 X2)))),
% 2.93/1.04 inference('cnf', [status(esa)], [xcb])).
% 2.93/1.04 thf(zip_derived_cl1, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (is_a_theorem @
% 2.93/1.04 (equivalent @ X0 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X2 @ X1)) @
% 2.93/1.04 X2)))),
% 2.93/1.04 inference('cnf', [status(esa)], [xcb])).
% 2.93/1.04 thf(zip_derived_cl1, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (is_a_theorem @
% 2.93/1.04 (equivalent @ X0 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X2 @ X1)) @
% 2.93/1.04 X2)))),
% 2.93/1.04 inference('cnf', [status(esa)], [xcb])).
% 2.93/1.04 thf(zip_derived_cl1, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (is_a_theorem @
% 2.93/1.04 (equivalent @ X0 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X2 @ X1)) @
% 2.93/1.04 X2)))),
% 2.93/1.04 inference('cnf', [status(esa)], [xcb])).
% 2.93/1.04 thf(condensed_detachment, axiom,
% 2.93/1.04 (( ~( is_a_theorem @ ( equivalent @ A @ B ) ) ) |
% 2.93/1.04 ( ~( is_a_theorem @ A ) ) | ( is_a_theorem @ B ))).
% 2.93/1.04 thf(zip_derived_cl0, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.93/1.04 | ~ (is_a_theorem @ X0)
% 2.93/1.04 | (is_a_theorem @ X1))),
% 2.93/1.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.93/1.04 thf(zip_derived_cl3, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 ( (is_a_theorem @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X1)) @
% 2.93/1.04 X0))
% 2.93/1.04 | ~ (is_a_theorem @ X2))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl0, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.93/1.04 | ~ (is_a_theorem @ X0)
% 2.93/1.04 | (is_a_theorem @ X1))),
% 2.93/1.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.93/1.04 thf(zip_derived_cl4, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ X0)
% 2.93/1.04 | ~ (is_a_theorem @
% 2.93/1.04 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X1))))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl5, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 ( (is_a_theorem @
% 2.93/1.04 (equivalent @ (equivalent @ (equivalent @ X2 @ X0) @ X1) @
% 2.93/1.04 (equivalent @ X0 @ X1)))
% 2.93/1.04 | ~ (is_a_theorem @ X2))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 2.93/1.04 thf(zip_derived_cl0, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.93/1.04 | ~ (is_a_theorem @ X0)
% 2.93/1.04 | (is_a_theorem @ X1))),
% 2.93/1.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.93/1.04 thf(zip_derived_cl6, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl8, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.93/1.04 ( (is_a_theorem @
% 2.93/1.04 (equivalent @ X2 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ (equivalent @ X3 @ X2) @ X1) @
% 2.93/1.04 (equivalent @ X0 @ X1)) @
% 2.93/1.04 X0)))
% 2.93/1.04 | ~ (is_a_theorem @ X3))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 2.93/1.04 thf(zip_derived_cl3, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 ( (is_a_theorem @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X1)) @
% 2.93/1.04 X0))
% 2.93/1.04 | ~ (is_a_theorem @ X2))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl8, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.93/1.04 ( (is_a_theorem @
% 2.93/1.04 (equivalent @ X2 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ (equivalent @ X3 @ X2) @ X1) @
% 2.93/1.04 (equivalent @ X0 @ X1)) @
% 2.93/1.04 X0)))
% 2.93/1.04 | ~ (is_a_theorem @ X3))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 2.93/1.04 thf(zip_derived_cl0, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.93/1.04 | ~ (is_a_theorem @ X0)
% 2.93/1.04 | (is_a_theorem @ X1))),
% 2.93/1.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.93/1.04 thf(zip_derived_cl21, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X3)
% 2.93/1.04 | (is_a_theorem @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ (equivalent @ X3 @ X2) @ X1) @
% 2.93/1.04 (equivalent @ X0 @ X1)) @
% 2.93/1.04 X0))
% 2.93/1.04 | ~ (is_a_theorem @ X2))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl6, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl89, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | ~ (is_a_theorem @ X3)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X1) @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X1)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl6])).
% 2.93/1.04 thf(zip_derived_cl101, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X0) @ X3))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl89])).
% 2.93/1.04 thf(zip_derived_cl112, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X2))
% 2.93/1.04 | ~ (is_a_theorem @ X1))),
% 2.93/1.04 inference('eq_fact', [status(thm)], [zip_derived_cl101])).
% 2.93/1.04 thf(zip_derived_cl137, plain,
% 2.93/1.04 (![X2 : $i, X3 : $i, X4 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X3)
% 2.93/1.04 | ~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ (equivalent @ X4 @ X2) @ X4)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl112])).
% 2.93/1.04 thf(zip_derived_cl142, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X1) @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ X1))),
% 2.93/1.04 inference('condensation', [status(thm)], [zip_derived_cl137])).
% 2.93/1.04 thf(zip_derived_cl6, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl151, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X1)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ X0))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl6])).
% 2.93/1.04 thf(zip_derived_cl5, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 ( (is_a_theorem @
% 2.93/1.04 (equivalent @ (equivalent @ (equivalent @ X2 @ X0) @ X1) @
% 2.93/1.04 (equivalent @ X0 @ X1)))
% 2.93/1.04 | ~ (is_a_theorem @ X2))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 2.93/1.04 thf(zip_derived_cl6, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl10, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X0)))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 2.93/1.04 thf(zip_derived_cl178, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X0)
% 2.93/1.04 | ~ (is_a_theorem @ X1)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X0 @ X2)))
% 2.93/1.04 | ~ (is_a_theorem @ X1))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl10])).
% 2.93/1.04 thf(zip_derived_cl203, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 ( (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X0 @ X2)))
% 2.93/1.04 | ~ (is_a_theorem @ X1)
% 2.93/1.04 | ~ (is_a_theorem @ X0))),
% 2.93/1.04 inference('simplify', [status(thm)], [zip_derived_cl178])).
% 2.93/1.04 thf(zip_derived_cl221, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 ( (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X0)))
% 2.93/1.04 | ~ (is_a_theorem @ X1))),
% 2.93/1.04 inference('condensation', [status(thm)], [zip_derived_cl203])).
% 2.93/1.04 thf(zip_derived_cl151, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X1)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ X0))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl6])).
% 2.93/1.04 thf(zip_derived_cl1, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (is_a_theorem @
% 2.93/1.04 (equivalent @ X0 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X2 @ X1)) @
% 2.93/1.04 X2)))),
% 2.93/1.04 inference('cnf', [status(esa)], [xcb])).
% 2.93/1.04 thf(zip_derived_cl151, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X1)
% 2.93/1.04 | (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ X0))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl6])).
% 2.93/1.04 thf(zip_derived_cl1, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (is_a_theorem @
% 2.93/1.04 (equivalent @ X0 @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X2 @ X1)) @
% 2.93/1.04 X2)))),
% 2.93/1.04 inference('cnf', [status(esa)], [xcb])).
% 2.93/1.04 thf(zip_derived_cl142, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X1) @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ X1))),
% 2.93/1.04 inference('condensation', [status(thm)], [zip_derived_cl137])).
% 2.93/1.04 thf(zip_derived_cl0, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.93/1.04 | ~ (is_a_theorem @ X0)
% 2.93/1.04 | (is_a_theorem @ X1))),
% 2.93/1.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.93/1.04 thf(zip_derived_cl143, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X1)
% 2.93/1.04 | (is_a_theorem @ X0)
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 2.93/1.04 thf(zip_derived_cl168, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 ( (is_a_theorem @ X2)
% 2.93/1.04 | ~ (is_a_theorem @
% 2.93/1.04 (equivalent @
% 2.93/1.04 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X1)) @
% 2.93/1.04 X0)))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl143])).
% 2.93/1.04 thf(zip_derived_cl286, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X0)
% 2.93/1.04 | ~ (is_a_theorem @
% 2.93/1.04 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X1)))
% 2.93/1.04 | (is_a_theorem @ X2))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl168])).
% 2.93/1.04 thf(zip_derived_cl381, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 ( (is_a_theorem @ X2)
% 2.93/1.04 | ~ (is_a_theorem @
% 2.93/1.04 (equivalent @ (equivalent @ (equivalent @ X2 @ X0) @ X1) @
% 2.93/1.04 (equivalent @ X0 @ X1))))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl286])).
% 2.93/1.04 thf(zip_derived_cl400, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ (equivalent @ X1 @ X0))
% 2.93/1.04 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 2.93/1.04 | (is_a_theorem @ X2))),
% 2.93/1.04 inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl381])).
% 2.93/1.04 thf(zip_derived_cl407, plain,
% 2.93/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.04 (~ (is_a_theorem @ X2)
% 2.93/1.04 | (is_a_theorem @ X1)
% 2.93/1.04 | ~ (is_a_theorem @
% 2.93/1.04 (equivalent @ X0 @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 2.93/1.05 inference('sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl400])).
% 2.93/1.05 thf(zip_derived_cl482, plain,
% 2.93/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.05 ( (is_a_theorem @ X1)
% 2.93/1.05 | ~ (is_a_theorem @
% 2.93/1.05 (equivalent @ (equivalent @ X0 @ X2) @
% 2.93/1.05 (equivalent @ (equivalent @ X1 @ X0) @ X2))))),
% 2.93/1.05 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl407])).
% 2.93/1.05 thf(zip_derived_cl485, plain,
% 2.93/1.05 (![X0 : $i, X1 : $i]:
% 2.93/1.05 (is_a_theorem @
% 2.93/1.05 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X0) @ X1))),
% 2.93/1.05 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl482])).
% 2.93/1.05 thf(zip_derived_cl168, plain,
% 2.93/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.93/1.05 ( (is_a_theorem @ X2)
% 2.93/1.05 | ~ (is_a_theorem @
% 2.93/1.05 (equivalent @
% 2.93/1.05 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X1)) @
% 2.93/1.05 X0)))),
% 2.93/1.05 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl143])).
% 2.93/1.05 thf(zip_derived_cl519, plain,
% 2.93/1.05 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 2.93/1.05 inference('sup-', [status(thm)], [zip_derived_cl485, zip_derived_cl168])).
% 2.93/1.05 thf(zip_derived_cl584, plain, ($false),
% 2.93/1.05 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl519])).
% 2.93/1.05
% 2.93/1.05 % SZS output end Refutation
% 2.93/1.05
% 2.93/1.05
% 2.93/1.05 % Terminating...
% 2.93/1.08 % Runner terminated.
% 2.93/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------