TSTP Solution File: HEN010-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN010-3 : 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.MY8Q9VXrtv true
% Computer : n028.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 01:57:53 EDT 2023
% Result : Unsatisfiable 13.71s 2.56s
% Output : Refutation 13.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN010-3 : 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.MY8Q9VXrtv true
% 0.13/0.34 % Computer : n028.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 13:38:20 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 13.71/2.56 % Solved by fo/fo6_bce.sh.
% 13.71/2.56 % BCE start: 8
% 13.71/2.56 % BCE eliminated: 0
% 13.71/2.56 % PE start: 8
% 13.71/2.56 logic: eq
% 13.71/2.56 % PE eliminated: 0
% 13.71/2.56 % done 532 iterations in 1.803s
% 13.71/2.56 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.71/2.56 % SZS output start Refutation
% 13.71/2.56 thf(zero_type, type, zero: $i).
% 13.71/2.56 thf(divide_type, type, divide: $i > $i > $i).
% 13.71/2.56 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 13.71/2.56 thf(identity_type, type, identity: $i).
% 13.71/2.56 thf(a_type, type, a: $i).
% 13.71/2.56 thf(prove_property_of_inversion, conjecture,
% 13.71/2.56 (( divide @ identity @ a ) =
% 13.71/2.56 ( divide @
% 13.71/2.56 ( divide @ identity @ a ) @
% 13.71/2.56 ( divide @ identity @ ( divide @ identity @ a ) ) ))).
% 13.71/2.56 thf(zf_stmt_0, negated_conjecture,
% 13.71/2.56 (( divide @ identity @ a ) !=
% 13.71/2.56 ( divide @
% 13.71/2.56 ( divide @ identity @ a ) @
% 13.71/2.56 ( divide @ identity @ ( divide @ identity @ a ) ) )),
% 13.71/2.56 inference('cnf.neg', [status(esa)], [prove_property_of_inversion])).
% 13.71/2.56 thf(zip_derived_cl7, plain,
% 13.71/2.56 (((divide @ identity @ a)
% 13.71/2.56 != (divide @ (divide @ identity @ a) @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ a))))),
% 13.71/2.56 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.71/2.56 thf(identity_is_largest, axiom, (less_equal @ X @ identity)).
% 13.71/2.56 thf(zip_derived_cl6, plain, (![X0 : $i]: (less_equal @ X0 @ identity)),
% 13.71/2.56 inference('cnf', [status(esa)], [identity_is_largest])).
% 13.71/2.56 thf(quotient_less_equal1, axiom,
% 13.71/2.56 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 13.71/2.56 thf(zip_derived_cl0, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 13.71/2.56 thf(zip_derived_cl29, plain,
% 13.71/2.56 (![X0 : $i]: ((divide @ X0 @ identity) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 13.71/2.56 thf(quotient_property, axiom,
% 13.71/2.56 (less_equal @
% 13.71/2.56 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 13.71/2.56 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 13.71/2.56 thf(zip_derived_cl3, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 13.71/2.56 (divide @ (divide @ X0 @ X2) @ X1))),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_property])).
% 13.71/2.56 thf(less_equal_and_equal, axiom,
% 13.71/2.56 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 13.71/2.56 ( ( X ) = ( Y ) ))).
% 13.71/2.56 thf(zip_derived_cl5, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 13.71/2.56 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 13.71/2.56 thf(zip_derived_cl43, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 13.71/2.56 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 13.71/2.56 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 13.71/2.56 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl156, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ (divide @ zero @ X0) @
% 13.71/2.56 (divide @ (divide @ X1 @ X0) @ (divide @ identity @ X0)))
% 13.71/2.56 | ((divide @ (divide @ X1 @ X0) @ (divide @ identity @ X0))
% 13.71/2.56 = (divide @ zero @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl43])).
% 13.71/2.56 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 13.71/2.56 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [zero_is_smallest])).
% 13.71/2.56 thf(zip_derived_cl0, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 13.71/2.56 thf(zip_derived_cl30, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 13.71/2.56 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [zero_is_smallest])).
% 13.71/2.56 thf(zip_derived_cl30, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 13.71/2.56 thf(zip_derived_cl169, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 ((divide @ (divide @ X1 @ X0) @ (divide @ identity @ X0)) = (zero))),
% 13.71/2.56 inference('demod', [status(thm)],
% 13.71/2.56 [zip_derived_cl156, zip_derived_cl30, zip_derived_cl4,
% 13.71/2.56 zip_derived_cl30])).
% 13.71/2.56 thf(zip_derived_cl43, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 13.71/2.56 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 13.71/2.56 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 13.71/2.56 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl190, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ zero @
% 13.71/2.56 (divide @ (divide @ X1 @ (divide @ identity @ X0)) @
% 13.71/2.56 (divide @ X0 @ (divide @ identity @ X0))))
% 13.71/2.56 | ((divide @ (divide @ X1 @ (divide @ identity @ X0)) @
% 13.71/2.56 (divide @ X0 @ (divide @ identity @ X0))) = (zero)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl43])).
% 13.71/2.56 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [zero_is_smallest])).
% 13.71/2.56 thf(zip_derived_cl209, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 ((divide @ (divide @ X1 @ (divide @ identity @ X0)) @
% 13.71/2.56 (divide @ X0 @ (divide @ identity @ X0))) = (zero))),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl4])).
% 13.71/2.56 thf(quotient_less_equal2, axiom,
% 13.71/2.56 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 13.71/2.56 thf(zip_derived_cl1, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 13.71/2.56 thf(zip_derived_cl169, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 ((divide @ (divide @ X1 @ X0) @ (divide @ identity @ X0)) = (zero))),
% 13.71/2.56 inference('demod', [status(thm)],
% 13.71/2.56 [zip_derived_cl156, zip_derived_cl30, zip_derived_cl4,
% 13.71/2.56 zip_derived_cl30])).
% 13.71/2.56 thf(zip_derived_cl1, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 13.71/2.56 thf(zip_derived_cl5, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 13.71/2.56 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 13.71/2.56 thf(zip_derived_cl35, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ X1 @ X0) != (zero))
% 13.71/2.56 | ~ (less_equal @ X0 @ X1)
% 13.71/2.56 | ((X1) = (X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl181, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((zero) != (zero))
% 13.71/2.56 | ~ (less_equal @ (divide @ identity @ X0) @ (divide @ X1 @ X0))
% 13.71/2.56 | ((divide @ X1 @ X0) = (divide @ identity @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl35])).
% 13.71/2.56 thf(zip_derived_cl206, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ X1 @ X0) = (divide @ identity @ X0))
% 13.71/2.56 | ~ (less_equal @ (divide @ identity @ X0) @ (divide @ X1 @ X0)))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 13.71/2.56 thf(zip_derived_cl213, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ (divide @ identity @ X0) @ (divide @ X1 @ X0)) != (zero))
% 13.71/2.56 | ((divide @ X1 @ X0) = (divide @ identity @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl206])).
% 13.71/2.56 thf(zip_derived_cl1221, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (((zero) != (zero))
% 13.71/2.56 | ((divide @ X0 @ (divide @ identity @ X0))
% 13.71/2.56 = (divide @ identity @ (divide @ identity @ X0))))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl213])).
% 13.71/2.56 thf(zip_derived_cl1281, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((divide @ X0 @ (divide @ identity @ X0))
% 13.71/2.56 = (divide @ identity @ (divide @ identity @ X0)))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl1221])).
% 13.71/2.56 thf(zip_derived_cl1452, plain,
% 13.71/2.56 (((divide @ identity @ a)
% 13.71/2.56 != (divide @ identity @ (divide @ identity @ (divide @ identity @ a))))),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl1281])).
% 13.71/2.56 thf(zip_derived_cl1281, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((divide @ X0 @ (divide @ identity @ X0))
% 13.71/2.56 = (divide @ identity @ (divide @ identity @ X0)))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl1221])).
% 13.71/2.56 thf(zip_derived_cl1281, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((divide @ X0 @ (divide @ identity @ X0))
% 13.71/2.56 = (divide @ identity @ (divide @ identity @ X0)))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl1221])).
% 13.71/2.56 thf(quotient_smaller_than_numerator, axiom,
% 13.71/2.56 (less_equal @ ( divide @ X @ Y ) @ X)).
% 13.71/2.56 thf(zip_derived_cl2, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 13.71/2.56 thf(zip_derived_cl0, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 13.71/2.56 thf(zip_derived_cl31, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 13.71/2.56 thf(zip_derived_cl31, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 13.71/2.56 thf(zip_derived_cl3, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 13.71/2.56 (divide @ (divide @ X0 @ X2) @ X1))),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_property])).
% 13.71/2.56 thf(zip_derived_cl67, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (less_equal @ (divide @ (divide @ X2 @ X0) @ zero) @
% 13.71/2.56 (divide @ (divide @ X2 @ (divide @ X0 @ X1)) @ X0))),
% 13.71/2.56 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl3])).
% 13.71/2.56 thf(zip_derived_cl352, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (less_equal @
% 13.71/2.56 (divide @ (divide @ (divide @ (divide @ X0 @ X1) @ X2) @ X0) @ zero) @
% 13.71/2.56 (divide @ zero @ X0))),
% 13.71/2.56 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl67])).
% 13.71/2.56 thf(zip_derived_cl30, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 13.71/2.56 thf(zip_derived_cl372, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (less_equal @
% 13.71/2.56 (divide @ (divide @ (divide @ (divide @ X0 @ X1) @ X2) @ X0) @ zero) @
% 13.71/2.56 zero)),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl352, zip_derived_cl30])).
% 13.71/2.56 thf(zip_derived_cl31, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 13.71/2.56 thf(zip_derived_cl43, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 13.71/2.56 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 13.71/2.56 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 13.71/2.56 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl154, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ zero @
% 13.71/2.56 (divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)))
% 13.71/2.56 | ((divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)) = (zero)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl43])).
% 13.71/2.56 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [zero_is_smallest])).
% 13.71/2.56 thf(zip_derived_cl167, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 ((divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)) = (zero))),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl4])).
% 13.71/2.56 thf(zip_derived_cl1, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 13.71/2.56 thf(zip_derived_cl2, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 13.71/2.56 thf(zip_derived_cl5, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 13.71/2.56 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 13.71/2.56 thf(zip_derived_cl37, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ (divide @ X0 @ X1))
% 13.71/2.56 | ((divide @ X0 @ X1) = (X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl85, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ X1 @ (divide @ X1 @ X0)) != (zero))
% 13.71/2.56 | ((divide @ X1 @ X0) = (X1)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl37])).
% 13.71/2.56 thf(zip_derived_cl264, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (((zero) != (zero))
% 13.71/2.56 | ((divide @ (divide @ X0 @ X0) @ X0) = (divide @ X0 @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl85])).
% 13.71/2.56 thf(zip_derived_cl31, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 13.71/2.56 thf(zip_derived_cl293, plain,
% 13.71/2.56 (![X0 : $i]: (((zero) != (zero)) | ((zero) = (divide @ X0 @ X0)))),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl31])).
% 13.71/2.56 thf(zip_derived_cl294, plain, (![X0 : $i]: ((zero) = (divide @ X0 @ X0))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl293])).
% 13.71/2.56 thf(zip_derived_cl30, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 13.71/2.56 thf(zip_derived_cl43, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 13.71/2.56 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 13.71/2.56 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 13.71/2.56 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl148, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ (divide @ (divide @ X1 @ zero) @ X0) @
% 13.71/2.56 (divide @ (divide @ X1 @ X0) @ zero))
% 13.71/2.56 | ((divide @ (divide @ X1 @ X0) @ zero)
% 13.71/2.56 = (divide @ (divide @ X1 @ zero) @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl43])).
% 13.71/2.56 thf(zip_derived_cl3244, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (~ (less_equal @ zero @
% 13.71/2.56 (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero))
% 13.71/2.56 | ((divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) = (zero)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl294, zip_derived_cl148])).
% 13.71/2.56 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [zero_is_smallest])).
% 13.71/2.56 thf(zip_derived_cl3279, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) = (zero))),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl3244, zip_derived_cl4])).
% 13.71/2.56 thf(zip_derived_cl35, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ X1 @ X0) != (zero))
% 13.71/2.56 | ~ (less_equal @ X0 @ X1)
% 13.71/2.56 | ((X1) = (X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl6433, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (((zero) != (zero))
% 13.71/2.56 | ~ (less_equal @ zero @ (divide @ X0 @ (divide @ X0 @ zero)))
% 13.71/2.56 | ((divide @ X0 @ (divide @ X0 @ zero)) = (zero)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl3279, zip_derived_cl35])).
% 13.71/2.56 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [zero_is_smallest])).
% 13.71/2.56 thf(zip_derived_cl6546, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (((zero) != (zero)) | ((divide @ X0 @ (divide @ X0 @ zero)) = (zero)))),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl6433, zip_derived_cl4])).
% 13.71/2.56 thf(zip_derived_cl6547, plain,
% 13.71/2.56 (![X0 : $i]: ((divide @ X0 @ (divide @ X0 @ zero)) = (zero))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl6546])).
% 13.71/2.56 thf(zip_derived_cl35, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ X1 @ X0) != (zero))
% 13.71/2.56 | ~ (less_equal @ X0 @ X1)
% 13.71/2.56 | ((X1) = (X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl6638, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (((zero) != (zero))
% 13.71/2.56 | ~ (less_equal @ (divide @ X0 @ zero) @ X0)
% 13.71/2.56 | ((X0) = (divide @ X0 @ zero)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl6547, zip_derived_cl35])).
% 13.71/2.56 thf(zip_derived_cl2, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 13.71/2.56 thf(zip_derived_cl6784, plain,
% 13.71/2.56 (![X0 : $i]: (((zero) != (zero)) | ((X0) = (divide @ X0 @ zero)))),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl6638, zip_derived_cl2])).
% 13.71/2.56 thf(zip_derived_cl6785, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl6784])).
% 13.71/2.56 thf(zip_derived_cl7031, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (less_equal @ (divide @ (divide @ (divide @ X0 @ X1) @ X2) @ X0) @
% 13.71/2.56 zero)),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl6785])).
% 13.71/2.56 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [zero_is_smallest])).
% 13.71/2.56 thf(zip_derived_cl5, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 13.71/2.56 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 13.71/2.56 thf(zip_derived_cl38, plain,
% 13.71/2.56 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl7034, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 ((zero) = (divide @ (divide @ (divide @ X0 @ X2) @ X1) @ X0))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl7031, zip_derived_cl38])).
% 13.71/2.56 thf(zip_derived_cl7830, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 ((zero)
% 13.71/2.56 = (divide @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ (divide @ X1 @ X0))) @
% 13.71/2.56 X1))),
% 13.71/2.56 inference('s_sup+', [status(thm)],
% 13.71/2.56 [zip_derived_cl1281, zip_derived_cl7034])).
% 13.71/2.56 thf(zip_derived_cl9956, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((zero)
% 13.71/2.56 = (divide @
% 13.71/2.56 (divide @ identity @
% 13.71/2.56 (divide @ identity @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ X0)))) @
% 13.71/2.56 X0))),
% 13.71/2.56 inference('s_sup+', [status(thm)],
% 13.71/2.56 [zip_derived_cl1281, zip_derived_cl7830])).
% 13.71/2.56 thf(zip_derived_cl43, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.71/2.56 (~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 13.71/2.56 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 13.71/2.56 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 13.71/2.56 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl10132, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (~ (less_equal @ zero @
% 13.71/2.56 (divide @ (divide @ identity @ X0) @
% 13.71/2.56 (divide @
% 13.71/2.56 (divide @ identity @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ X0))) @
% 13.71/2.56 X0)))
% 13.71/2.56 | ((divide @ (divide @ identity @ X0) @
% 13.71/2.56 (divide @
% 13.71/2.56 (divide @ identity @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ X0))) @
% 13.71/2.56 X0))
% 13.71/2.56 = (zero)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl9956, zip_derived_cl43])).
% 13.71/2.56 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [zero_is_smallest])).
% 13.71/2.56 thf(zip_derived_cl10221, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((divide @ (divide @ identity @ X0) @
% 13.71/2.56 (divide @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ (divide @ identity @ X0))) @
% 13.71/2.56 X0))
% 13.71/2.56 = (zero))),
% 13.71/2.56 inference('demod', [status(thm)], [zip_derived_cl10132, zip_derived_cl4])).
% 13.71/2.56 thf(zip_derived_cl213, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (((divide @ (divide @ identity @ X0) @ (divide @ X1 @ X0)) != (zero))
% 13.71/2.56 | ((divide @ X1 @ X0) = (divide @ identity @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl206])).
% 13.71/2.56 thf(zip_derived_cl11619, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (((zero) != (zero))
% 13.71/2.56 | ((divide @
% 13.71/2.56 (divide @ identity @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ X0))) @
% 13.71/2.56 X0) = (divide @ identity @ X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)],
% 13.71/2.56 [zip_derived_cl10221, zip_derived_cl213])).
% 13.71/2.56 thf(zip_derived_cl11734, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((divide @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ (divide @ identity @ X0))) @
% 13.71/2.56 X0) = (divide @ identity @ X0))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl11619])).
% 13.71/2.56 thf(zip_derived_cl37, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]:
% 13.71/2.56 (~ (less_equal @ X0 @ (divide @ X0 @ X1))
% 13.71/2.56 | ((divide @ X0 @ X1) = (X0)))),
% 13.71/2.56 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 13.71/2.56 thf(zip_derived_cl12063, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (~ (less_equal @
% 13.71/2.56 (divide @ identity @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ X0))) @
% 13.71/2.56 (divide @ identity @ X0))
% 13.71/2.56 | ((divide @ identity @ X0)
% 13.71/2.56 = (divide @ identity @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ X0)))))),
% 13.71/2.56 inference('s_sup-', [status(thm)],
% 13.71/2.56 [zip_derived_cl11734, zip_derived_cl37])).
% 13.71/2.56 thf(zip_derived_cl1281, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((divide @ X0 @ (divide @ identity @ X0))
% 13.71/2.56 = (divide @ identity @ (divide @ identity @ X0)))),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl1221])).
% 13.71/2.56 thf(zip_derived_cl2, plain,
% 13.71/2.56 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 13.71/2.56 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 13.71/2.56 thf(zip_derived_cl1505, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 (less_equal @ (divide @ identity @ (divide @ identity @ X0)) @ X0)),
% 13.71/2.56 inference('s_sup+', [status(thm)], [zip_derived_cl1281, zip_derived_cl2])).
% 13.71/2.56 thf(zip_derived_cl12171, plain,
% 13.71/2.56 (![X0 : $i]:
% 13.71/2.56 ((divide @ identity @ X0)
% 13.71/2.56 = (divide @ identity @
% 13.71/2.56 (divide @ identity @ (divide @ identity @ X0))))),
% 13.71/2.56 inference('demod', [status(thm)],
% 13.71/2.56 [zip_derived_cl12063, zip_derived_cl1505])).
% 13.71/2.56 thf(zip_derived_cl12640, plain,
% 13.71/2.56 (((divide @ identity @ a) != (divide @ identity @ a))),
% 13.71/2.56 inference('demod', [status(thm)],
% 13.71/2.56 [zip_derived_cl1452, zip_derived_cl12171])).
% 13.71/2.56 thf(zip_derived_cl12641, plain, ($false),
% 13.71/2.56 inference('simplify', [status(thm)], [zip_derived_cl12640])).
% 13.71/2.56
% 13.71/2.56 % SZS output end Refutation
% 13.71/2.56
% 13.71/2.56
% 13.71/2.57 % Terminating...
% 13.71/2.67 % Runner terminated.
% 13.71/2.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------