TSTP Solution File: LCL108-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL108-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yVGECBBifn true
% Computer : n012.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 08:58:13 EDT 2023
% Result : Unsatisfiable 1.65s 0.82s
% Output : Refutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL108-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yVGECBBifn true
% 0.17/0.34 % Computer : n012.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 04:51:56 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.65/0.82 % Solved by fo/fo7.sh.
% 1.65/0.82 % done 20 iterations in 0.030s
% 1.65/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.65/0.82 % SZS output start Refutation
% 1.65/0.82 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 1.65/0.82 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 1.65/0.82 thf(c_type, type, c: $i).
% 1.65/0.82 thf(b_type, type, b: $i).
% 1.65/0.82 thf(a_type, type, a: $i).
% 1.65/0.82 thf(prove_q_3, conjecture,
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 ( equivalent @
% 1.65/0.82 ( equivalent @
% 1.65/0.82 ( equivalent @ a @ b ) @ ( equivalent @ ( equivalent @ b @ a ) @ c ) ) @
% 1.65/0.82 c ))).
% 1.65/0.82 thf(zf_stmt_0, negated_conjecture,
% 1.65/0.82 (~( is_a_theorem @
% 1.65/0.82 ( equivalent @
% 1.65/0.82 ( equivalent @
% 1.65/0.82 ( equivalent @ a @ b ) @
% 1.65/0.82 ( equivalent @ ( equivalent @ b @ a ) @ c ) ) @
% 1.65/0.82 c ) )),
% 1.65/0.82 inference('cnf.neg', [status(esa)], [prove_q_3])).
% 1.65/0.82 thf(zip_derived_cl2, plain,
% 1.65/0.82 (~ (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ a @ b) @
% 1.65/0.82 (equivalent @ (equivalent @ b @ a) @ c)) @
% 1.65/0.82 c))),
% 1.65/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.65/0.82 thf(lg_27_1690, axiom,
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 ( equivalent @
% 1.65/0.82 ( equivalent @
% 1.65/0.82 ( equivalent @ ( equivalent @ X @ Y ) @ Z ) @
% 1.65/0.82 ( equivalent @
% 1.65/0.82 ( equivalent @ U @ V ) @
% 1.65/0.82 ( equivalent @
% 1.65/0.82 ( equivalent @ ( equivalent @ W @ V ) @ ( equivalent @ W @ U ) ) @
% 1.65/0.82 V6 ) ) ) @
% 1.65/0.82 ( equivalent @ Z @ ( equivalent @ ( equivalent @ Y @ X ) @ V6 ) ) ))).
% 1.65/0.82 thf(zip_derived_cl1, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 1.65/0.82 (equivalent @ (equivalent @ X3 @ X4) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 1.65/0.82 X6))) @
% 1.65/0.82 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X0) @ X6))))),
% 1.65/0.82 inference('cnf', [status(esa)], [lg_27_1690])).
% 1.65/0.82 thf(zip_derived_cl1, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 1.65/0.82 (equivalent @ (equivalent @ X3 @ X4) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 1.65/0.82 X6))) @
% 1.65/0.82 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X0) @ X6))))),
% 1.65/0.82 inference('cnf', [status(esa)], [lg_27_1690])).
% 1.65/0.82 thf(condensed_detachment, axiom,
% 1.65/0.82 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 1.65/0.82 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 1.65/0.82 thf(zip_derived_cl0, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i]:
% 1.65/0.82 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.65/0.82 | ~ (is_a_theorem @ X0)
% 1.65/0.82 | (is_a_theorem @ X1))),
% 1.65/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.65/0.82 thf(zip_derived_cl3, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.65/0.82 ( (is_a_theorem @
% 1.65/0.82 (equivalent @ X3 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 1.65/0.82 | ~ (is_a_theorem @
% 1.65/0.82 (equivalent @ (equivalent @ (equivalent @ X1 @ X2) @ X3) @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ X6) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X6) @ (equivalent @ X5 @ X4)) @
% 1.65/0.82 X0)))))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.65/0.82 thf(zip_derived_cl4, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ X6) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X6) @ (equivalent @ X5 @ X4)) @
% 1.65/0.82 X0)) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X1 @ X3) @
% 1.65/0.82 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X3))) @
% 1.65/0.82 X0)))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.65/0.82 thf(zip_derived_cl4, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ X6) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X6) @ (equivalent @ X5 @ X4)) @
% 1.65/0.82 X0)) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X1 @ X3) @
% 1.65/0.82 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X3))) @
% 1.65/0.82 X0)))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.65/0.82 thf(zip_derived_cl3, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.65/0.82 ( (is_a_theorem @
% 1.65/0.82 (equivalent @ X3 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 1.65/0.82 | ~ (is_a_theorem @
% 1.65/0.82 (equivalent @ (equivalent @ (equivalent @ X1 @ X2) @ X3) @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ X6) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X6) @ (equivalent @ X5 @ X4)) @
% 1.65/0.82 X0)))))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.65/0.82 thf(zip_derived_cl6, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X6 @ X7) @ (equivalent @ X6 @ X5)) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X3 @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ X2) @ (equivalent @ X4 @ X1))) @
% 1.65/0.82 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 1.65/0.82 X0)) @
% 1.65/0.82 (equivalent @ (equivalent @ X7 @ X5) @ X0)))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.65/0.82 thf(zip_derived_cl6, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X6 @ X7) @ (equivalent @ X6 @ X5)) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X3 @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ X2) @ (equivalent @ X4 @ X1))) @
% 1.65/0.82 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 1.65/0.82 X0)) @
% 1.65/0.82 (equivalent @ (equivalent @ X7 @ X5) @ X0)))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.65/0.82 thf(zip_derived_cl0, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i]:
% 1.65/0.82 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.65/0.82 | ~ (is_a_theorem @ X0)
% 1.65/0.82 | (is_a_theorem @ X1))),
% 1.65/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.65/0.82 thf(zip_derived_cl7, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.65/0.82 ( (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 1.65/0.82 | ~ (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X7 @ X2) @ (equivalent @ X7 @ X1)) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X5 @
% 1.65/0.82 (equivalent @ (equivalent @ X6 @ X4) @
% 1.65/0.82 (equivalent @ X6 @ X3))) @
% 1.65/0.82 (equivalent @ X5 @ (equivalent @ X4 @ X3))) @
% 1.65/0.82 X0))))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 1.65/0.82 thf(zip_derived_cl10, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X3 @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ (equivalent @ X4 @ X2)) @
% 1.65/0.82 (equivalent @ X5 @ (equivalent @ X4 @ X1)))) @
% 1.65/0.82 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 1.65/0.82 X0) @
% 1.65/0.82 X0))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 1.65/0.82 thf(zip_derived_cl10, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X3 @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ (equivalent @ X4 @ X2)) @
% 1.65/0.82 (equivalent @ X5 @ (equivalent @ X4 @ X1)))) @
% 1.65/0.82 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 1.65/0.82 X0) @
% 1.65/0.82 X0))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 1.65/0.82 thf(zip_derived_cl0, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i]:
% 1.65/0.82 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.65/0.82 | ~ (is_a_theorem @ X0)
% 1.65/0.82 | (is_a_theorem @ X1))),
% 1.65/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.65/0.82 thf(zip_derived_cl11, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.65/0.82 ( (is_a_theorem @ X0)
% 1.65/0.82 | ~ (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X3 @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ (equivalent @ X4 @ X2)) @
% 1.65/0.82 (equivalent @ X5 @ (equivalent @ X4 @ X1)))) @
% 1.65/0.82 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 1.65/0.82 X0)))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 1.65/0.82 thf(zip_derived_cl14, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ (equivalent @ X2 @ X1)) @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ (equivalent @ X3 @ X5)) @
% 1.65/0.82 (equivalent @ X4 @ (equivalent @ X3 @ (equivalent @ X2 @ X0))))) @
% 1.65/0.82 (equivalent @ X1 @ X0)))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl11])).
% 1.65/0.82 thf(zip_derived_cl0, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i]:
% 1.65/0.82 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.65/0.82 | ~ (is_a_theorem @ X0)
% 1.65/0.82 | (is_a_theorem @ X1))),
% 1.65/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.65/0.82 thf(zip_derived_cl27, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.65/0.82 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 1.65/0.82 | ~ (is_a_theorem @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ (equivalent @ X2 @ X1)) @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ (equivalent @ X3 @ X5)) @
% 1.65/0.82 (equivalent @ X4 @ (equivalent @ X3 @ (equivalent @ X2 @ X0)))))))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 1.65/0.82 thf(zip_derived_cl31, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X4 @ X3) @
% 1.65/0.82 (equivalent @ (equivalent @ X1 @ X4) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X2 @ X1)) @
% 1.65/0.82 X0))) @
% 1.65/0.82 X0))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl27])).
% 1.65/0.82 thf(zip_derived_cl1, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 1.65/0.82 (equivalent @ (equivalent @ X3 @ X4) @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 1.65/0.82 X6))) @
% 1.65/0.82 (equivalent @ X2 @ (equivalent @ (equivalent @ X1 @ X0) @ X6))))),
% 1.65/0.82 inference('cnf', [status(esa)], [lg_27_1690])).
% 1.65/0.82 thf(zip_derived_cl11, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.65/0.82 ( (is_a_theorem @ X0)
% 1.65/0.82 | ~ (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X3 @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ (equivalent @ X4 @ X2)) @
% 1.65/0.82 (equivalent @ X5 @ (equivalent @ X4 @ X1)))) @
% 1.65/0.82 (equivalent @ X3 @ (equivalent @ X2 @ X1))) @
% 1.65/0.82 X0)))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 1.65/0.82 thf(zip_derived_cl15, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X4 @
% 1.65/0.82 (equivalent @ X3 @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X2) @ (equivalent @ X5 @ X1)))) @
% 1.65/0.82 (equivalent @ X4 @ (equivalent @ X3 @ X0))) @
% 1.65/0.82 (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 1.65/0.82 thf(zip_derived_cl0, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i]:
% 1.65/0.82 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.65/0.82 | ~ (is_a_theorem @ X0)
% 1.65/0.82 | (is_a_theorem @ X1))),
% 1.65/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.65/0.82 thf(zip_derived_cl36, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.65/0.82 ( (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 1.65/0.82 | ~ (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ X4 @
% 1.65/0.82 (equivalent @ X3 @
% 1.65/0.82 (equivalent @ (equivalent @ X5 @ X2) @ (equivalent @ X5 @ X1)))) @
% 1.65/0.82 (equivalent @ X4 @ (equivalent @ X3 @ X0)))))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 1.65/0.82 thf(zip_derived_cl41, plain,
% 1.65/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.65/0.82 (is_a_theorem @
% 1.65/0.82 (equivalent @
% 1.65/0.82 (equivalent @ (equivalent @ X1 @ X2) @
% 1.65/0.82 (equivalent @ (equivalent @ X2 @ X1) @ X0)) @
% 1.65/0.82 X0))),
% 1.65/0.82 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl36])).
% 1.65/0.82 thf(zip_derived_cl43, plain, ($false),
% 1.65/0.82 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl41])).
% 1.65/0.82
% 1.65/0.82 % SZS output end Refutation
% 1.65/0.82
% 1.65/0.82
% 1.65/0.82 % Terminating...
% 1.65/0.87 % Runner terminated.
% 1.66/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------