TSTP Solution File: LCL014-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL014-1 : 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.fBGvSeAO6w true
% Computer : n023.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 26.29s 4.35s
% Output : Refutation 26.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fBGvSeAO6w true
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 20:20:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 26.29/4.35 % Solved by fo/fo13.sh.
% 26.29/4.35 % done 3201 iterations in 3.598s
% 26.29/4.35 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.29/4.35 % SZS output start Refutation
% 26.29/4.35 thf(a_type, type, a: $i).
% 26.29/4.35 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 26.29/4.35 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 26.29/4.35 thf(c_type, type, c: $i).
% 26.29/4.35 thf(b_type, type, b: $i).
% 26.29/4.35 thf(wn, axiom,
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 ( equivalent @
% 26.29/4.35 ( equivalent @ X @ ( equivalent @ Y @ Z ) ) @
% 26.29/4.35 ( equivalent @ Z @ ( equivalent @ X @ Y ) ) ))).
% 26.29/4.35 thf(zip_derived_cl1, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 26.29/4.35 (equivalent @ X2 @ (equivalent @ X0 @ X1))))),
% 26.29/4.35 inference('cnf', [status(esa)], [wn])).
% 26.29/4.35 thf(zip_derived_cl1, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 26.29/4.35 (equivalent @ X2 @ (equivalent @ X0 @ X1))))),
% 26.29/4.35 inference('cnf', [status(esa)], [wn])).
% 26.29/4.35 thf(condensed_detachment, axiom,
% 26.29/4.35 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 26.29/4.35 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 26.29/4.35 thf(zip_derived_cl0, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ X1))),
% 26.29/4.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 26.29/4.35 thf(zip_derived_cl4, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl1, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 26.29/4.35 (equivalent @ X2 @ (equivalent @ X0 @ X1))))),
% 26.29/4.35 inference('cnf', [status(esa)], [wn])).
% 26.29/4.35 thf(zip_derived_cl7, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ X0) @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ (equivalent @ X0 @ X2)) @ X2)))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 26.29/4.35 thf(zip_derived_cl4, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl0, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ X1))),
% 26.29/4.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 26.29/4.35 thf(zip_derived_cl8, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | ~ (is_a_theorem @ X2)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl35, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X2 @ X1) @
% 26.29/4.35 (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 26.29/4.35 thf(zip_derived_cl0, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ X1))),
% 26.29/4.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 26.29/4.35 thf(zip_derived_cl61, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | ~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl680, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X3)
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ (equivalent @ X0 @ X2)) @
% 26.29/4.35 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X3))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl61])).
% 26.29/4.35 thf(zip_derived_cl7, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ X0) @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ (equivalent @ X0 @ X2)) @ X2)))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 26.29/4.35 thf(zip_derived_cl35, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X2 @ X1) @
% 26.29/4.35 (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 26.29/4.35 thf(zip_derived_cl4, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl63, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ X0) @
% 26.29/4.35 (equivalent @ (equivalent @ X2 @ X1) @ X2))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl4])).
% 26.29/4.35 thf(zip_derived_cl8, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | ~ (is_a_theorem @ X2)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl76, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X2)
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X1))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl8])).
% 26.29/4.35 thf(zip_derived_cl4, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl92, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X1)
% 26.29/4.35 | ~ (is_a_theorem @ X2)
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ X0 @ (equivalent @ (equivalent @ X0 @ X2) @ X1))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl4])).
% 26.29/4.35 thf(zip_derived_cl8, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | ~ (is_a_theorem @ X2)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl119, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X1)
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X2 @ X1))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl8])).
% 26.29/4.35 thf(zip_derived_cl126, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 ( (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X2 @ X1)))
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | ~ (is_a_theorem @ X1))),
% 26.29/4.35 inference('simplify', [status(thm)], [zip_derived_cl119])).
% 26.29/4.35 thf(zip_derived_cl137, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 ( (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X1 @ X0)))
% 26.29/4.35 | ~ (is_a_theorem @ X0))),
% 26.29/4.35 inference('condensation', [status(thm)], [zip_derived_cl126])).
% 26.29/4.35 thf(zip_derived_cl8, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | ~ (is_a_theorem @ X2)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl142, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X1 @ X1)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl137, zip_derived_cl8])).
% 26.29/4.35 thf(zip_derived_cl150, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 ( (is_a_theorem @ (equivalent @ X1 @ X1)) | ~ (is_a_theorem @ X0))),
% 26.29/4.35 inference('simplify', [status(thm)], [zip_derived_cl142])).
% 26.29/4.35 thf(zip_derived_cl1, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 26.29/4.35 (equivalent @ X2 @ (equivalent @ X0 @ X1))))),
% 26.29/4.35 inference('cnf', [status(esa)], [wn])).
% 26.29/4.35 thf(zip_derived_cl172, plain,
% 26.29/4.35 (![X3 : $i]: (is_a_theorem @ (equivalent @ X3 @ X3))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl1])).
% 26.29/4.35 thf(zip_derived_cl8, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | ~ (is_a_theorem @ X2)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl195, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X1)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl8])).
% 26.29/4.35 thf(prove_xgf, conjecture,
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 ( equivalent @
% 26.29/4.35 a @
% 26.29/4.35 ( equivalent @
% 26.29/4.35 ( equivalent @ b @ ( equivalent @ a @ c ) ) @ ( equivalent @ c @ b ) ) ))).
% 26.29/4.35 thf(zf_stmt_0, negated_conjecture,
% 26.29/4.35 (~( is_a_theorem @
% 26.29/4.35 ( equivalent @
% 26.29/4.35 a @
% 26.29/4.35 ( equivalent @
% 26.29/4.35 ( equivalent @ b @ ( equivalent @ a @ c ) ) @
% 26.29/4.35 ( equivalent @ c @ b ) ) ) )),
% 26.29/4.35 inference('cnf.neg', [status(esa)], [prove_xgf])).
% 26.29/4.35 thf(zip_derived_cl2, plain,
% 26.29/4.35 (~ (is_a_theorem @
% 26.29/4.35 (equivalent @ a @
% 26.29/4.35 (equivalent @ (equivalent @ b @ (equivalent @ a @ c)) @
% 26.29/4.35 (equivalent @ c @ b))))),
% 26.29/4.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.29/4.35 thf(zip_derived_cl0, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ X1))),
% 26.29/4.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 26.29/4.35 thf(zip_derived_cl3, plain,
% 26.29/4.35 (![X0 : $i]:
% 26.29/4.35 (~ (is_a_theorem @
% 26.29/4.35 (equivalent @ X0 @
% 26.29/4.35 (equivalent @ a @
% 26.29/4.35 (equivalent @ (equivalent @ b @ (equivalent @ a @ c)) @
% 26.29/4.35 (equivalent @ c @ b)))))
% 26.29/4.35 | ~ (is_a_theorem @ X0))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl353, plain,
% 26.29/4.35 (![X0 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | ~ (is_a_theorem @
% 26.29/4.35 (equivalent @
% 26.29/4.35 (equivalent @ a @
% 26.29/4.35 (equivalent @ (equivalent @ b @ (equivalent @ a @ c)) @
% 26.29/4.35 (equivalent @ c @ b))) @
% 26.29/4.35 X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl3])).
% 26.29/4.35 thf(zip_derived_cl374, plain,
% 26.29/4.35 (![X0 : $i]:
% 26.29/4.35 ~ (is_a_theorem @
% 26.29/4.35 (equivalent @
% 26.29/4.35 (equivalent @ a @
% 26.29/4.35 (equivalent @
% 26.29/4.35 (equivalent @ (equivalent @ b @ (equivalent @ a @ c)) @
% 26.29/4.35 (equivalent @ c @ b)) @
% 26.29/4.35 X0)) @
% 26.29/4.35 X0))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl353])).
% 26.29/4.35 thf(zip_derived_cl63, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ X0) @
% 26.29/4.35 (equivalent @ (equivalent @ X2 @ X1) @ X2))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl4])).
% 26.29/4.35 thf(zip_derived_cl395, plain,
% 26.29/4.35 (![X0 : $i]:
% 26.29/4.35 ~ (is_a_theorem @
% 26.29/4.35 (equivalent @
% 26.29/4.35 (equivalent @ (equivalent @ b @ (equivalent @ a @ c)) @
% 26.29/4.35 (equivalent @ c @ b)) @
% 26.29/4.35 (equivalent @ (equivalent @ X0 @ a) @ X0)))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl374, zip_derived_cl63])).
% 26.29/4.35 thf(zip_derived_cl4, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl4, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.35 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl6, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 ( (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X2 @ X1)))
% 26.29/4.35 | ~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2))))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 26.29/4.35 thf(zip_derived_cl479, plain,
% 26.29/4.35 (![X0 : $i]:
% 26.29/4.35 ~ (is_a_theorem @
% 26.29/4.35 (equivalent @ X0 @
% 26.29/4.35 (equivalent @
% 26.29/4.35 (equivalent @ (equivalent @ b @ (equivalent @ a @ c)) @
% 26.29/4.35 (equivalent @ c @ b)) @
% 26.29/4.35 (equivalent @ X0 @ a))))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl395, zip_derived_cl6])).
% 26.29/4.35 thf(zip_derived_cl13867, plain,
% 26.29/4.35 (~ (is_a_theorem @
% 26.29/4.35 (equivalent @
% 26.29/4.35 (equivalent @ c @
% 26.29/4.35 (equivalent @ b @ (equivalent @ b @ (equivalent @ a @ c)))) @
% 26.29/4.35 a))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl680, zip_derived_cl479])).
% 26.29/4.35 thf(zip_derived_cl172, plain,
% 26.29/4.35 (![X3 : $i]: (is_a_theorem @ (equivalent @ X3 @ X3))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl1])).
% 26.29/4.35 thf(zip_derived_cl7, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ X0) @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ (equivalent @ X0 @ X2)) @ X2)))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 26.29/4.35 thf(zip_derived_cl0, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ X1))),
% 26.29/4.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 26.29/4.35 thf(zip_derived_cl28, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl243, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X0 @ (equivalent @ X0 @ X1)) @ X1))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl28])).
% 26.29/4.35 thf(zip_derived_cl0, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 26.29/4.35 | ~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ X1))),
% 26.29/4.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 26.29/4.35 thf(zip_derived_cl1131, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X1 @ X0)))
% 26.29/4.35 | (is_a_theorem @ X0))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl6, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 ( (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X2 @ X1)))
% 26.29/4.35 | ~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2))))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 26.29/4.35 thf(zip_derived_cl1203, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 ( (is_a_theorem @ X0)
% 26.29/4.35 | ~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X1))))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl1131, zip_derived_cl6])).
% 26.29/4.35 thf(zip_derived_cl195, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ X0)
% 26.29/4.35 | (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X1)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl8])).
% 26.29/4.35 thf(zip_derived_cl1544, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 ( (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X0) @ X1))
% 26.29/4.35 | ~ (is_a_theorem @ X1))),
% 26.29/4.35 inference('s_sup+', [status(thm)],
% 26.29/4.35 [zip_derived_cl1203, zip_derived_cl195])).
% 26.29/4.35 thf(zip_derived_cl1131, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X1 @ X0)))
% 26.29/4.35 | (is_a_theorem @ X0))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl2289, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X1) @ X0))
% 26.29/4.35 | (is_a_theorem @ X0))),
% 26.29/4.35 inference('s_sup-', [status(thm)],
% 26.29/4.35 [zip_derived_cl1544, zip_derived_cl1131])).
% 26.29/4.35 thf(zip_derived_cl28, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl2686, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 ( (is_a_theorem @ X0)
% 26.29/4.35 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X1)))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl2289, zip_derived_cl28])).
% 26.29/4.35 thf(zip_derived_cl28, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 26.29/4.35 | (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @ X0)))),
% 26.29/4.35 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 26.29/4.35 thf(zip_derived_cl3186, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i]:
% 26.29/4.35 ( (is_a_theorem @ (equivalent @ X1 @ X0))
% 26.29/4.35 | ~ (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl2686, zip_derived_cl28])).
% 26.29/4.35 thf(zip_derived_cl14603, plain,
% 26.29/4.35 (~ (is_a_theorem @
% 26.29/4.35 (equivalent @ a @
% 26.29/4.35 (equivalent @ c @
% 26.29/4.35 (equivalent @ b @ (equivalent @ b @ (equivalent @ a @ c))))))),
% 26.29/4.35 inference('s_sup+', [status(thm)],
% 26.29/4.35 [zip_derived_cl13867, zip_derived_cl3186])).
% 26.29/4.35 thf(zip_derived_cl7, plain,
% 26.29/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.35 (is_a_theorem @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ X0) @
% 26.29/4.35 (equivalent @ (equivalent @ X1 @ (equivalent @ X0 @ X2)) @ X2)))),
% 26.29/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 26.29/4.36 thf(zip_derived_cl6, plain,
% 26.29/4.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.29/4.36 ( (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X2 @ X1)))
% 26.29/4.36 | ~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2))))),
% 26.29/4.36 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 26.29/4.36 thf(zip_derived_cl0, plain,
% 26.29/4.36 (![X0 : $i, X1 : $i]:
% 26.29/4.36 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 26.29/4.36 | ~ (is_a_theorem @ X0)
% 26.29/4.36 | (is_a_theorem @ X1))),
% 26.29/4.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 26.29/4.36 thf(zip_derived_cl50, plain,
% 26.29/4.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.29/4.36 ( (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2)))
% 26.29/4.36 | ~ (is_a_theorem @
% 26.29/4.36 (equivalent @ X3 @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))
% 26.29/4.36 | ~ (is_a_theorem @ X3))),
% 26.29/4.36 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 26.29/4.36 thf(zip_derived_cl508, plain,
% 26.29/4.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.29/4.36 ( (is_a_theorem @
% 26.29/4.36 (equivalent @ X1 @
% 26.29/4.36 (equivalent @ X0 @
% 26.29/4.36 (equivalent @ X3 @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))))
% 26.29/4.36 | ~ (is_a_theorem @ (equivalent @ X3 @ X2)))),
% 26.29/4.36 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl50])).
% 26.29/4.36 thf(zip_derived_cl14963, plain, (~ (is_a_theorem @ (equivalent @ b @ b))),
% 26.29/4.36 inference('s_sup+', [status(thm)],
% 26.29/4.36 [zip_derived_cl14603, zip_derived_cl508])).
% 26.29/4.36 thf(zip_derived_cl172, plain,
% 26.29/4.36 (![X3 : $i]: (is_a_theorem @ (equivalent @ X3 @ X3))),
% 26.29/4.36 inference('s_sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl1])).
% 26.29/4.36 thf(zip_derived_cl14968, plain, ($false),
% 26.29/4.36 inference('demod', [status(thm)],
% 26.29/4.36 [zip_derived_cl14963, zip_derived_cl172])).
% 26.29/4.36
% 26.29/4.36 % SZS output end Refutation
% 26.29/4.36
% 26.29/4.36
% 26.29/4.36 % Terminating...
% 26.84/4.46 % Runner terminated.
% 26.84/4.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------