%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3EMpxPdjXF true
% Computer : n017.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 01:35:12 PM UTC 2026
% Result : Unsatisfiable 0.45s 0.83s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3EMpxPdjXF true
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 5 16:04:37 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.39 % Python version: Python 3.12.3
% 0.12/0.39 % Running in FO mode
% 0.35/0.61 % Total configuration time : 435
% 0.35/0.61 % Estimated wc time : 1092
% 0.35/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.83 % Solved by fo/fo7.sh.
% 0.45/0.83 % done 20 iterations in 0.053s
% 0.45/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/0.83 % SZS output start Refutation
% 0.45/0.83 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.45/0.83 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 0.45/0.83 thf(c_type, type, c: $i).
% 0.45/0.83 thf(b_type, type, b: $i).
% 0.45/0.83 thf(a_type, type, a: $i).
% 0.45/0.83 thf(prove_q_3, conjecture,
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 ( equivalent @
% 0.45/0.83 ( equivalent @
% 0.45/0.83 ( equivalent @ a @ b ) @ ( equivalent @ ( equivalent @ b @ a ) @ c ) ) @
% 0.45/0.83 c ))).
% 0.45/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.45/0.83 (~( is_a_theorem @
% 0.45/0.83 ( equivalent @
% 0.45/0.83 ( equivalent @
% 0.45/0.83 ( equivalent @ a @ b ) @
% 0.45/0.83 ( equivalent @ ( equivalent @ b @ a ) @ c ) ) @
% 0.45/0.83 c ) )),
% 0.45/0.83 inference('cnf.neg', [status(esa)], [prove_q_3])).
% 0.45/0.83 thf(zip_derived_cl2, plain,
% 0.45/0.83 (~ (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ a @ b) @
% 0.45/0.83 (equivalent @ (equivalent @ b @ a) @ c)) @
% 0.45/0.83 c))),
% 0.45/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.45/0.83 thf(lg_27_1690, axiom,
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 ( equivalent @
% 0.45/0.83 ( equivalent @
% 0.45/0.83 ( equivalent @ ( equivalent @ X @ Y ) @ Z ) @
% 0.45/0.83 ( equivalent @
% 0.45/0.83 ( equivalent @ U @ V ) @
% 0.45/0.83 ( equivalent @
% 0.45/0.83 ( equivalent @ ( equivalent @ W @ V ) @ ( equivalent @ W @ U ) ) @
% 0.45/0.83 V6 ) ) ) @
% 0.45/0.83 ( equivalent @ Z @ ( equivalent @ ( equivalent @ Y @ X ) @ V6 ) ) ))).
% 0.45/0.83 thf(zip_derived_cl1, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 0.45/0.83 (equivalent @ (equivalent @ X3 @ X4) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 0.45/0.83 X6))) @
% 0.45/0.83 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X0) @ X6))))),
% 0.45/0.83 inference('cnf', [status(esa)], [lg_27_1690])).
% 0.45/0.83 thf(zip_derived_cl1, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 0.45/0.83 (equivalent @ (equivalent @ X3 @ X4) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 0.45/0.83 X6))) @
% 0.45/0.83 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X0) @ X6))))),
% 0.45/0.83 inference('cnf', [status(esa)], [lg_27_1690])).
% 0.45/0.83 thf(condensed_detachment, axiom,
% 0.45/0.83 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 0.45/0.83 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 0.45/0.83 thf(zip_derived_cl0, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i]:
% 0.45/0.83 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.45/0.83 | ~ (is_a_theorem @ X0)
% 0.45/0.83 | (is_a_theorem @ X1))),
% 0.45/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.45/0.83 thf(zip_derived_cl3, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.45/0.83 ( (is_a_theorem @
% 0.45/0.83 (equivalent @ X3 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 0.45/0.83 | ~ (is_a_theorem @
% 0.45/0.83 (equivalent @ (equivalent @ (equivalent @ X1 @ X2) @ X3) @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ X6) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X6) @ (equivalent @ X5 @ X4)) @
% 0.45/0.83 X0)))))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.45/0.83 thf(zip_derived_cl4, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ X6) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X6) @ (equivalent @ X5 @ X4)) @
% 0.45/0.83 X0)) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X1 @ X3) @
% 0.45/0.83 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X3))) @
% 0.45/0.83 X0)))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.45/0.83 thf(zip_derived_cl4, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ X6) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X6) @ (equivalent @ X5 @ X4)) @
% 0.45/0.83 X0)) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X1 @ X3) @
% 0.45/0.83 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X3))) @
% 0.45/0.83 X0)))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.45/0.83 thf(zip_derived_cl3, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.45/0.83 ( (is_a_theorem @
% 0.45/0.83 (equivalent @ X3 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 0.45/0.83 | ~ (is_a_theorem @
% 0.45/0.83 (equivalent @ (equivalent @ (equivalent @ X1 @ X2) @ X3) @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ X6) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X6) @ (equivalent @ X5 @ X4)) @
% 0.45/0.83 X0)))))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.45/0.83 thf(zip_derived_cl6, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X6 @ X7) @ (equivalent @ X6 @ X5)) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X3 @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ X2) @ (equivalent @ X4 @ X1))) @
% 0.45/0.83 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 0.45/0.83 X0)) @
% 0.45/0.83 (equivalent @ (equivalent @ X7 @ X5) @ X0)))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.45/0.83 thf(zip_derived_cl6, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X6 @ X7) @ (equivalent @ X6 @ X5)) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X3 @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ X2) @ (equivalent @ X4 @ X1))) @
% 0.45/0.83 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 0.45/0.83 X0)) @
% 0.45/0.83 (equivalent @ (equivalent @ X7 @ X5) @ X0)))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.45/0.83 thf(zip_derived_cl0, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i]:
% 0.45/0.83 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.45/0.83 | ~ (is_a_theorem @ X0)
% 0.45/0.83 | (is_a_theorem @ X1))),
% 0.45/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.45/0.83 thf(zip_derived_cl7, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.45/0.83 ( (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 0.45/0.83 | ~ (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X7 @ X2) @ (equivalent @ X7 @ X1)) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X5 @
% 0.45/0.83 (equivalent @ (equivalent @ X6 @ X4) @
% 0.45/0.83 (equivalent @ X6 @ X3))) @
% 0.45/0.83 (equivalent @ X5 @ (equivalent @ X4 @ X3))) @
% 0.45/0.83 X0))))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.45/0.83 thf(zip_derived_cl10, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X3 @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ (equivalent @ X4 @ X2)) @
% 0.45/0.83 (equivalent @ X5 @ (equivalent @ X4 @ X1)))) @
% 0.45/0.83 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 0.45/0.83 X0) @
% 0.45/0.83 X0))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 0.45/0.83 thf(zip_derived_cl10, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X3 @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ (equivalent @ X4 @ X2)) @
% 0.45/0.83 (equivalent @ X5 @ (equivalent @ X4 @ X1)))) @
% 0.45/0.83 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 0.45/0.83 X0) @
% 0.45/0.83 X0))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 0.45/0.83 thf(zip_derived_cl0, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i]:
% 0.45/0.83 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.45/0.83 | ~ (is_a_theorem @ X0)
% 0.45/0.83 | (is_a_theorem @ X1))),
% 0.45/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.45/0.83 thf(zip_derived_cl11, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.45/0.83 ( (is_a_theorem @ X0)
% 0.45/0.83 | ~ (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X3 @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ (equivalent @ X4 @ X2)) @
% 0.45/0.83 (equivalent @ X5 @ (equivalent @ X4 @ X1)))) @
% 0.45/0.83 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 0.45/0.83 X0)))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.45/0.83 thf(zip_derived_cl14, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ (equivalent @ X2 @ X1)) @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ (equivalent @ X3 @ X5)) @
% 0.45/0.83 (equivalent @ X4 @ (equivalent @ X3 @ (equivalent @ X2 @ X0))))) @
% 0.45/0.83 (equivalent @ X1 @ X0)))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl11])).
% 0.45/0.83 thf(zip_derived_cl0, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i]:
% 0.45/0.83 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.45/0.83 | ~ (is_a_theorem @ X0)
% 0.45/0.83 | (is_a_theorem @ X1))),
% 0.45/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.45/0.83 thf(zip_derived_cl27, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.45/0.83 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 0.45/0.83 | ~ (is_a_theorem @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ (equivalent @ X2 @ X1)) @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ (equivalent @ X3 @ X5)) @
% 0.45/0.83 (equivalent @ X4 @ (equivalent @ X3 @ (equivalent @ X2 @ X0)))))))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 0.45/0.83 thf(zip_derived_cl31, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X4 @ X3) @
% 0.45/0.83 (equivalent @ (equivalent @ X1 @ X4) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X2 @ X1)) @
% 0.45/0.83 X0))) @
% 0.45/0.83 X0))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl27])).
% 0.45/0.83 thf(zip_derived_cl1, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 0.45/0.83 (equivalent @ (equivalent @ X3 @ X4) @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 0.45/0.83 X6))) @
% 0.45/0.83 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X0) @ X6))))),
% 0.45/0.83 inference('cnf', [status(esa)], [lg_27_1690])).
% 0.45/0.83 thf(zip_derived_cl11, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.45/0.83 ( (is_a_theorem @ X0)
% 0.45/0.83 | ~ (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X3 @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ (equivalent @ X4 @ X2)) @
% 0.45/0.83 (equivalent @ X5 @ (equivalent @ X4 @ X1)))) @
% 0.45/0.83 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 0.45/0.83 X0)))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.45/0.83 thf(zip_derived_cl15, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X4 @
% 0.45/0.83 (equivalent @ X3 @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X2) @ (equivalent @ X5 @ X1)))) @
% 0.45/0.83 (equivalent @ X4 @ (equivalent @ X3 @ X0))) @
% 0.45/0.83 (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 0.45/0.83 thf(zip_derived_cl0, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i]:
% 0.45/0.83 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.45/0.83 | ~ (is_a_theorem @ X0)
% 0.45/0.83 | (is_a_theorem @ X1))),
% 0.45/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.45/0.83 thf(zip_derived_cl36, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.45/0.83 ( (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 0.45/0.83 | ~ (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ X4 @
% 0.45/0.83 (equivalent @ X3 @
% 0.45/0.83 (equivalent @ (equivalent @ X5 @ X2) @ (equivalent @ X5 @ X1)))) @
% 0.45/0.83 (equivalent @ X4 @ (equivalent @ X3 @ X0)))))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 0.45/0.83 thf(zip_derived_cl41, plain,
% 0.45/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.83 (is_a_theorem @
% 0.45/0.83 (equivalent @
% 0.45/0.83 (equivalent @ (equivalent @ X1 @ X2) @
% 0.45/0.83 (equivalent @ (equivalent @ X2 @ X1) @ X0)) @
% 0.45/0.83 X0))),
% 0.45/0.83 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl36])).
% 0.45/0.83 thf(zip_derived_cl43, plain, ($false),
% 0.45/0.83 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl41])).
% 0.45/0.83
% 0.45/0.83 % SZS output end Refutation
% 0.45/0.83
% 0.45/0.83
% 0.45/0.83 % Terminating...
% 0.45/0.89 % Runner terminated.
% 1.52/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------