TSTP Solution File: LCL103-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL103-1 : 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.PAPSo2rjwJ 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 08:58:12 EDT 2023
% Result : Unsatisfiable 20.23s 3.48s
% Output : Refutation 20.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL103-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PAPSo2rjwJ true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 21:55:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.49/0.62 % Total configuration time : 435
% 0.49/0.62 % Estimated wc time : 1092
% 0.49/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 20.23/3.48 % Solved by fo/fo13.sh.
% 20.23/3.48 % done 971 iterations in 2.720s
% 20.23/3.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.23/3.48 % SZS output start Refutation
% 20.23/3.48 thf(e_type, type, e: $i).
% 20.23/3.48 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 20.23/3.48 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 20.23/3.48 thf(c_type, type, c: $i).
% 20.23/3.48 thf(b_type, type, b: $i).
% 20.23/3.48 thf(a_type, type, a: $i).
% 20.23/3.48 thf(p_1, axiom,
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @ ( equivalent @ X @ Y ) @ Z ) @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @ U @ Y ) @ ( equivalent @ ( equivalent @ X @ U ) @ Z ) ) ))).
% 20.23/3.48 thf(zip_derived_cl1, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 20.23/3.48 (equivalent @ (equivalent @ X3 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X3) @ X2))))),
% 20.23/3.48 inference('cnf', [status(esa)], [p_1])).
% 20.23/3.48 thf(zip_derived_cl1, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 20.23/3.48 (equivalent @ (equivalent @ X3 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X3) @ X2))))),
% 20.23/3.48 inference('cnf', [status(esa)], [p_1])).
% 20.23/3.48 thf(condensed_detachment, axiom,
% 20.23/3.48 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 20.23/3.48 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl9, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X3) @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 20.23/3.48 thf(q_3, axiom,
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @ X @ Y ) @ ( equivalent @ ( equivalent @ Y @ X ) @ Z ) ) @
% 20.23/3.48 Z ))).
% 20.23/3.48 thf(zip_derived_cl2, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X0) @ X2)) @
% 20.23/3.48 X2))),
% 20.23/3.48 inference('cnf', [status(esa)], [q_3])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl5, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 20.23/3.48 | (is_a_theorem @ X0))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl21, plain,
% 20.23/3.48 (![X0 : $i, X2 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X2) @ X0))
% 20.23/3.48 | (is_a_theorem @ X0))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 20.23/3.48 thf(zip_derived_cl1, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 20.23/3.48 (equivalent @ (equivalent @ X3 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X3) @ X2))))),
% 20.23/3.48 inference('cnf', [status(esa)], [p_1])).
% 20.23/3.48 thf(zip_derived_cl29, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X0) @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl140, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl209, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ X4 @ (equivalent @ (equivalent @ X2 @ X3) @ X0)) @
% 20.23/3.48 (equivalent @ X4 @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X3) @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ X0)))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl140])).
% 20.23/3.48 thf(zip_derived_cl209, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ X4 @ (equivalent @ (equivalent @ X2 @ X3) @ X0)) @
% 20.23/3.48 (equivalent @ X4 @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X3) @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ X0)))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl140])).
% 20.23/3.48 thf(zip_derived_cl9, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X3) @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl140, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl210, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X4 @ (equivalent @ X1 @ X3)) @
% 20.23/3.48 (equivalent @ X4 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl140])).
% 20.23/3.48 thf(zip_derived_cl2, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X0) @ X2)) @
% 20.23/3.48 X2))),
% 20.23/3.48 inference('cnf', [status(esa)], [q_3])).
% 20.23/3.48 thf(zip_derived_cl210, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X4 @ (equivalent @ X1 @ X3)) @
% 20.23/3.48 (equivalent @ X4 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl140])).
% 20.23/3.48 thf(zip_derived_cl2, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X0) @ X2)) @
% 20.23/3.48 X2))),
% 20.23/3.48 inference('cnf', [status(esa)], [q_3])).
% 20.23/3.48 thf(zip_derived_cl140, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl208, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ X3 @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ X0))) @
% 20.23/3.48 (equivalent @ X3 @ X0)))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl140])).
% 20.23/3.48 thf(prove_lg_2, conjecture,
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ a @ c ) ) @
% 20.23/3.48 ( equivalent @ b @ c ) ) @
% 20.23/3.48 e ) @
% 20.23/3.48 e ))).
% 20.23/3.48 thf(zf_stmt_0, negated_conjecture,
% 20.23/3.48 (~( is_a_theorem @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @
% 20.23/3.48 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ a @ c ) ) @
% 20.23/3.48 ( equivalent @ b @ c ) ) @
% 20.23/3.48 e ) @
% 20.23/3.48 e ) )),
% 20.23/3.48 inference('cnf.neg', [status(esa)], [prove_lg_2])).
% 20.23/3.48 thf(zip_derived_cl3, plain,
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c)) @
% 20.23/3.48 (equivalent @ b @ c)) @
% 20.23/3.48 e) @
% 20.23/3.48 e))),
% 20.23/3.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl4, plain,
% 20.23/3.48 (![X0 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ X0 @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c)) @
% 20.23/3.48 (equivalent @ b @ c)) @
% 20.23/3.48 e) @
% 20.23/3.48 e)))
% 20.23/3.48 | ~ (is_a_theorem @ X0))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl366, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 ~ (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c)) @
% 20.23/3.48 (equivalent @ b @ c)) @
% 20.23/3.48 e) @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X0) @ e))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl208, zip_derived_cl4])).
% 20.23/3.48 thf(zip_derived_cl140, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl394, plain,
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ b @ c) @
% 20.23/3.48 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c))) @
% 20.23/3.48 e)))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl140])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl400, plain,
% 20.23/3.48 (![X0 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ X0 @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ b @ c) @
% 20.23/3.48 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c))) @
% 20.23/3.48 e))))
% 20.23/3.48 | ~ (is_a_theorem @ X0))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl394, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl5988, plain,
% 20.23/3.48 (![X0 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ (equivalent @ b @ c) @ X0) @ e))
% 20.23/3.48 | ~ (is_a_theorem @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c)) @
% 20.23/3.48 X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl400])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl6202, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ (equivalent @ b @ c) @ X0) @ e))
% 20.23/3.48 | ~ (is_a_theorem @
% 20.23/3.48 (equivalent @ X1 @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c)) @
% 20.23/3.48 X0))))
% 20.23/3.48 | ~ (is_a_theorem @ X1))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl5988, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl6203, plain,
% 20.23/3.48 (![X0 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ X0 @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c)) @
% 20.23/3.48 (equivalent @ (equivalent @ c @ b) @ e)))))
% 20.23/3.48 | ~ (is_a_theorem @ X0))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6202])).
% 20.23/3.48 thf(zip_derived_cl6217, plain,
% 20.23/3.48 (![X0 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ (equivalent @ a @ b) @ X0) @
% 20.23/3.48 (equivalent @ (equivalent @ c @ b) @ e)))
% 20.23/3.48 | ~ (is_a_theorem @
% 20.23/3.48 (equivalent @ e @ (equivalent @ (equivalent @ a @ c) @ X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)],
% 20.23/3.48 [zip_derived_cl210, zip_derived_cl6203])).
% 20.23/3.48 thf(zip_derived_cl2, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X0) @ X2)) @
% 20.23/3.48 X2))),
% 20.23/3.48 inference('cnf', [status(esa)], [q_3])).
% 20.23/3.48 thf(zip_derived_cl6251, plain,
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @ (equivalent @ a @ c) @
% 20.23/3.48 (equivalent @ (equivalent @ b @ a) @
% 20.23/3.48 (equivalent @ (equivalent @ c @ b) @ e)))))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl6217, zip_derived_cl2])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl6276, plain,
% 20.23/3.48 (![X0 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ X0 @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @ (equivalent @ a @ c) @
% 20.23/3.48 (equivalent @ (equivalent @ b @ a) @
% 20.23/3.48 (equivalent @ (equivalent @ c @ b) @ e))))))
% 20.23/3.48 | ~ (is_a_theorem @ X0))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl6251, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl6368, plain,
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @ (equivalent @ b @ c) @
% 20.23/3.48 (equivalent @ (equivalent @ c @ b) @ e))))),
% 20.23/3.48 inference('s_sup-', [status(thm)],
% 20.23/3.48 [zip_derived_cl209, zip_derived_cl6276])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl6387, plain,
% 20.23/3.48 (![X0 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ X0 @
% 20.23/3.48 (equivalent @ e @
% 20.23/3.48 (equivalent @ (equivalent @ b @ c) @
% 20.23/3.48 (equivalent @ (equivalent @ c @ b) @ e)))))
% 20.23/3.48 | ~ (is_a_theorem @ X0))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl6368, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl6446, plain,
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ e @ (equivalent @ (equivalent @ c @ c) @ e)))),
% 20.23/3.48 inference('s_sup-', [status(thm)],
% 20.23/3.48 [zip_derived_cl209, zip_derived_cl6387])).
% 20.23/3.48 thf(zip_derived_cl29, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X0) @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 20.23/3.48 thf(zip_derived_cl9, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X3) @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl17, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 20.23/3.48 | ~ (is_a_theorem @ (equivalent @ X1 @ X3))
% 20.23/3.48 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl141, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ X4 @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))) @
% 20.23/3.48 X3))
% 20.23/3.48 | (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X4 @ (equivalent @ X2 @ X0)) @ X3)))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl17])).
% 20.23/3.48 thf(zip_derived_cl2, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X1 @ X0) @ X2)) @
% 20.23/3.48 X2))),
% 20.23/3.48 inference('cnf', [status(esa)], [q_3])).
% 20.23/3.48 thf(zip_derived_cl2521, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 20.23/3.48 (equivalent @ X1 @ X0)))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl2])).
% 20.23/3.48 thf(zip_derived_cl0, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 20.23/3.48 | ~ (is_a_theorem @ X0)
% 20.23/3.48 | (is_a_theorem @ X1))),
% 20.23/3.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.23/3.48 thf(zip_derived_cl3826, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.23/3.48 (~ (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)))
% 20.23/3.48 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 20.23/3.48 inference('s_sup-', [status(thm)], [zip_derived_cl2521, zip_derived_cl0])).
% 20.23/3.48 thf(zip_derived_cl1, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 20.23/3.48 (equivalent @ (equivalent @ X3 @ X1) @
% 20.23/3.48 (equivalent @ (equivalent @ X0 @ X3) @ X2))))),
% 20.23/3.48 inference('cnf', [status(esa)], [p_1])).
% 20.23/3.48 thf(zip_derived_cl4270, plain,
% 20.23/3.48 (![X0 : $i, X1 : $i]:
% 20.23/3.48 (is_a_theorem @
% 20.23/3.48 (equivalent @ X0 @ (equivalent @ (equivalent @ X1 @ X1) @ X0)))),
% 20.23/3.48 inference('s_sup+', [status(thm)], [zip_derived_cl3826, zip_derived_cl1])).
% 20.23/3.48 thf(zip_derived_cl6451, plain, ($false),
% 20.23/3.48 inference('demod', [status(thm)],
% 20.23/3.48 [zip_derived_cl6446, zip_derived_cl4270])).
% 20.23/3.48
% 20.23/3.48 % SZS output end Refutation
% 20.23/3.48
% 20.23/3.48
% 20.23/3.48 % Terminating...
% 20.53/3.54 % Runner terminated.
% 20.53/3.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------