TSTP Solution File: HEN010-5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN010-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7BFPseUso3 true
% Computer : n020.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 14.65s 2.83s
% Output : Refutation 14.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN010-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7BFPseUso3 true
% 0.13/0.34 % Computer : n020.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 13:31:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.65/2.83 % Solved by fo/fo13.sh.
% 14.65/2.83 % done 1050 iterations in 2.049s
% 14.65/2.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.65/2.83 % SZS output start Refutation
% 14.65/2.83 thf(zero_type, type, zero: $i).
% 14.65/2.83 thf(a_type, type, a: $i).
% 14.65/2.83 thf(divide_type, type, divide: $i > $i > $i).
% 14.65/2.83 thf(identity_type, type, identity: $i).
% 14.65/2.83 thf(prove_this, conjecture,
% 14.65/2.83 (( divide @ identity @ a ) =
% 14.65/2.83 ( divide @
% 14.65/2.83 ( divide @ identity @ a ) @
% 14.65/2.83 ( divide @ identity @ ( divide @ identity @ a ) ) ))).
% 14.65/2.83 thf(zf_stmt_0, negated_conjecture,
% 14.65/2.83 (( divide @ identity @ a ) !=
% 14.65/2.83 ( divide @
% 14.65/2.83 ( divide @ identity @ a ) @
% 14.65/2.83 ( divide @ identity @ ( divide @ identity @ a ) ) )),
% 14.65/2.83 inference('cnf.neg', [status(esa)], [prove_this])).
% 14.65/2.83 thf(zip_derived_cl8, plain,
% 14.65/2.83 (((divide @ identity @ a)
% 14.65/2.83 != (divide @ (divide @ identity @ a) @
% 14.65/2.83 (divide @ identity @ (divide @ identity @ a))))),
% 14.65/2.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.65/2.83 thf(identity_is_largest, axiom, (( divide @ X @ identity ) = ( zero ))).
% 14.65/2.83 thf(zip_derived_cl4, plain,
% 14.65/2.83 (![X0 : $i]: ((divide @ X0 @ identity) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [identity_is_largest])).
% 14.65/2.83 thf(property_of_divide3, axiom,
% 14.65/2.83 (( ( divide @ X @ Y ) != ( zero ) ) |
% 14.65/2.83 ( ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) = ( zero ) ))).
% 14.65/2.83 thf(zip_derived_cl7, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ X0 @ X1) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)) = (zero)))),
% 14.65/2.83 inference('cnf', [status(esa)], [property_of_divide3])).
% 14.65/2.83 thf(zip_derived_cl92, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X1) @ (divide @ identity @ X1)) = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 14.65/2.83 thf(zip_derived_cl104, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ X0 @ X1) @ (divide @ identity @ X1)) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl92])).
% 14.65/2.83 thf(quotient_property, axiom,
% 14.65/2.83 (( divide @
% 14.65/2.83 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 14.65/2.83 ( divide @ ( divide @ X @ Y ) @ Z ) ) =
% 14.65/2.83 ( zero ))).
% 14.65/2.83 thf(zip_derived_cl1, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 14.65/2.83 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [quotient_property])).
% 14.65/2.83 thf(zip_derived_cl331, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 ((divide @
% 14.65/2.83 (divide @ (divide @ X2 @ (divide @ identity @ X0)) @ zero) @
% 14.65/2.83 (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @
% 14.65/2.83 (divide @ identity @ X0)))
% 14.65/2.83 = (zero))),
% 14.65/2.83 inference('s_sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 14.65/2.83 thf(quotient_smaller_than_numerator, axiom,
% 14.65/2.83 (( divide @ ( divide @ X @ Y ) @ X ) = ( zero ))).
% 14.65/2.83 thf(zip_derived_cl0, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 14.65/2.83 thf(property_of_divide1, axiom,
% 14.65/2.83 (( ( divide @ ( divide @ X @ Y ) @ Z ) != ( zero ) ) |
% 14.65/2.83 ( ( divide @ ( divide @ X @ Z ) @ Y ) = ( zero ) ))).
% 14.65/2.83 thf(zip_derived_cl6, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 14.65/2.83 inference('cnf', [status(esa)], [property_of_divide1])).
% 14.65/2.83 thf(zip_derived_cl64, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero)) | ((divide @ (divide @ X0 @ X0) @ X1) = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 14.65/2.83 thf(zip_derived_cl76, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X0) @ X1) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl64])).
% 14.65/2.83 thf(zero_is_smallest, axiom, (( divide @ zero @ X ) = ( zero ))).
% 14.65/2.83 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [zero_is_smallest])).
% 14.65/2.83 thf(divide_and_equal, axiom,
% 14.65/2.83 (( ( divide @ X @ Y ) != ( zero ) ) | ( ( divide @ Y @ X ) != ( zero ) ) |
% 14.65/2.83 ( ( X ) = ( Y ) ))).
% 14.65/2.83 thf(zip_derived_cl3, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ X0 @ X1) != (zero))
% 14.65/2.83 | ((divide @ X1 @ X0) != (zero))
% 14.65/2.83 | ((X0) = (X1)))),
% 14.65/2.83 inference('cnf', [status(esa)], [divide_and_equal])).
% 14.65/2.83 thf(zip_derived_cl50, plain,
% 14.65/2.83 (![X0 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ X0 @ zero) != (zero))
% 14.65/2.83 | ((zero) = (X0)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 14.65/2.83 thf(zip_derived_cl54, plain,
% 14.65/2.83 (![X0 : $i]: (((zero) = (X0)) | ((divide @ X0 @ zero) != (zero)))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl50])).
% 14.65/2.83 thf(zip_derived_cl133, plain,
% 14.65/2.83 (![X0 : $i]: (((zero) = (divide @ X0 @ X0)) | ((zero) != (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl54])).
% 14.65/2.83 thf(zip_derived_cl152, plain, (![X0 : $i]: ((zero) = (divide @ X0 @ X0))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl133])).
% 14.65/2.83 thf(zip_derived_cl6, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 14.65/2.83 inference('cnf', [status(esa)], [property_of_divide1])).
% 14.65/2.83 thf(zip_derived_cl169, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0) = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl6])).
% 14.65/2.83 thf(zip_derived_cl182, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl169])).
% 14.65/2.83 thf(zip_derived_cl54, plain,
% 14.65/2.83 (![X0 : $i]: (((zero) = (X0)) | ((divide @ X0 @ zero) != (zero)))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl50])).
% 14.65/2.83 thf(zip_derived_cl1771, plain,
% 14.65/2.83 (![X0 : $i]:
% 14.65/2.83 (((zero) = (divide @ X0 @ (divide @ X0 @ zero))) | ((zero) != (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl182, zip_derived_cl54])).
% 14.65/2.83 thf(zip_derived_cl1844, plain,
% 14.65/2.83 (![X0 : $i]: ((zero) = (divide @ X0 @ (divide @ X0 @ zero)))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 14.65/2.83 thf(zip_derived_cl3, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ X0 @ X1) != (zero))
% 14.65/2.83 | ((divide @ X1 @ X0) != (zero))
% 14.65/2.83 | ((X0) = (X1)))),
% 14.65/2.83 inference('cnf', [status(esa)], [divide_and_equal])).
% 14.65/2.83 thf(zip_derived_cl1882, plain,
% 14.65/2.83 (![X0 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ zero) @ X0) != (zero))
% 14.65/2.83 | ((X0) = (divide @ X0 @ zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl1844, zip_derived_cl3])).
% 14.65/2.83 thf(zip_derived_cl0, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 14.65/2.83 thf(zip_derived_cl1973, plain,
% 14.65/2.83 (![X0 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((zero) != (zero))
% 14.65/2.83 | ((X0) = (divide @ X0 @ zero)))),
% 14.65/2.83 inference('demod', [status(thm)], [zip_derived_cl1882, zip_derived_cl0])).
% 14.65/2.83 thf(zip_derived_cl1974, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl1973])).
% 14.65/2.83 thf(zip_derived_cl9269, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 ((divide @ (divide @ X2 @ (divide @ identity @ X0)) @
% 14.65/2.83 (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @
% 14.65/2.83 (divide @ identity @ X0)))
% 14.65/2.83 = (zero))),
% 14.65/2.83 inference('demod', [status(thm)], [zip_derived_cl331, zip_derived_cl1974])).
% 14.65/2.83 thf(zip_derived_cl104, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ X0 @ X1) @ (divide @ identity @ X1)) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl92])).
% 14.65/2.83 thf(zip_derived_cl3, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ X0 @ X1) != (zero))
% 14.65/2.83 | ((divide @ X1 @ X0) != (zero))
% 14.65/2.83 | ((X0) = (X1)))),
% 14.65/2.83 inference('cnf', [status(esa)], [divide_and_equal])).
% 14.65/2.83 thf(zip_derived_cl324, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ (divide @ identity @ X0) @ (divide @ X1 @ X0)) != (zero))
% 14.65/2.83 | ((divide @ X1 @ X0) = (divide @ identity @ X0)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl3])).
% 14.65/2.83 thf(zip_derived_cl359, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ X1 @ X0) = (divide @ identity @ X0))
% 14.65/2.83 | ((divide @ (divide @ identity @ X0) @ (divide @ X1 @ X0)) != (zero)))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl324])).
% 14.65/2.83 thf(zip_derived_cl9394, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ (divide @ identity @ (divide @ X1 @ X0)) @
% 14.65/2.83 (divide @ identity @ X0))
% 14.65/2.83 = (divide @ identity @ (divide @ identity @ X0)))
% 14.65/2.83 | ((zero) != (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)],
% 14.65/2.83 [zip_derived_cl9269, zip_derived_cl359])).
% 14.65/2.83 thf(zip_derived_cl9653, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ identity @ (divide @ X1 @ X0)) @
% 14.65/2.83 (divide @ identity @ X0))
% 14.65/2.83 = (divide @ identity @ (divide @ identity @ X0)))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl9394])).
% 14.65/2.83 thf(zip_derived_cl0, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 14.65/2.83 thf(zip_derived_cl11943, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ identity @ (divide @ identity @ X0)) @
% 14.65/2.83 (divide @ identity @ (divide @ X1 @ X0))) = (zero))),
% 14.65/2.83 inference('s_sup+', [status(thm)], [zip_derived_cl9653, zip_derived_cl0])).
% 14.65/2.83 thf(zip_derived_cl6, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 14.65/2.83 inference('cnf', [status(esa)], [property_of_divide1])).
% 14.65/2.83 thf(zip_derived_cl13451, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @
% 14.65/2.83 (divide @ identity @ (divide @ identity @ (divide @ X1 @ X0))) @
% 14.65/2.83 (divide @ identity @ X0)) = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl11943, zip_derived_cl6])).
% 14.65/2.83 thf(zip_derived_cl13683, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @
% 14.65/2.83 (divide @ identity @ (divide @ identity @ (divide @ X1 @ X0))) @
% 14.65/2.83 (divide @ identity @ X0)) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl13451])).
% 14.65/2.83 thf(zip_derived_cl1974, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl1973])).
% 14.65/2.83 thf(zip_derived_cl104, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ X0 @ X1) @ (divide @ identity @ X1)) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl92])).
% 14.65/2.83 thf(zip_derived_cl6, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 14.65/2.83 inference('cnf', [status(esa)], [property_of_divide1])).
% 14.65/2.83 thf(zip_derived_cl341, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X1 @ (divide @ identity @ X0)) @ X0) = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl6])).
% 14.65/2.83 thf(zip_derived_cl369, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ X1 @ (divide @ identity @ X0)) @ X0) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl341])).
% 14.65/2.83 thf(zip_derived_cl6, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 14.65/2.83 inference('cnf', [status(esa)], [property_of_divide1])).
% 14.65/2.83 thf(zip_derived_cl514, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ zero @ X0) != (zero))
% 14.65/2.83 | ((divide @
% 14.65/2.83 (divide @ (divide @ X2 @ (divide @ identity @ X1)) @ X0) @ X1)
% 14.65/2.83 = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl369, zip_derived_cl6])).
% 14.65/2.83 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [zero_is_smallest])).
% 14.65/2.83 thf(zip_derived_cl552, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @
% 14.65/2.83 (divide @ (divide @ X2 @ (divide @ identity @ X1)) @ X0) @ X1)
% 14.65/2.83 = (zero)))),
% 14.65/2.83 inference('demod', [status(thm)], [zip_derived_cl514, zip_derived_cl2])).
% 14.65/2.83 thf(zip_derived_cl553, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 ((divide @ (divide @ (divide @ X2 @ (divide @ identity @ X1)) @ X0) @
% 14.65/2.83 X1) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 14.65/2.83 thf(zip_derived_cl7, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ X0 @ X1) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)) = (zero)))),
% 14.65/2.83 inference('cnf', [status(esa)], [property_of_divide3])).
% 14.65/2.83 thf(zip_derived_cl7529, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.65/2.83 (((divide @ X3 @
% 14.65/2.83 (divide @ (divide @ X2 @ (divide @ identity @ X0)) @ X1)) != (
% 14.65/2.83 zero))
% 14.65/2.83 | ((divide @ (divide @ X3 @ X0) @ zero) = (zero)))),
% 14.65/2.83 inference('s_sup+', [status(thm)], [zip_derived_cl553, zip_derived_cl7])).
% 14.65/2.83 thf(zip_derived_cl1974, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl1973])).
% 14.65/2.83 thf(zip_derived_cl7725, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.65/2.83 (((divide @ X3 @
% 14.65/2.83 (divide @ (divide @ X2 @ (divide @ identity @ X0)) @ X1)) != (
% 14.65/2.83 zero))
% 14.65/2.83 | ((divide @ X3 @ X0) = (zero)))),
% 14.65/2.83 inference('demod', [status(thm)],
% 14.65/2.83 [zip_derived_cl7529, zip_derived_cl1974])).
% 14.65/2.83 thf(zip_derived_cl7816, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ X2 @ (divide @ X1 @ (divide @ identity @ X0))) != (zero))
% 14.65/2.83 | ((divide @ X2 @ X0) = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)],
% 14.65/2.83 [zip_derived_cl1974, zip_derived_cl7725])).
% 14.65/2.83 thf(zip_derived_cl14024, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @
% 14.65/2.83 (divide @ identity @
% 14.65/2.83 (divide @ identity @ (divide @ X1 @ (divide @ identity @ X0)))) @
% 14.65/2.83 X0) = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)],
% 14.65/2.83 [zip_derived_cl13683, zip_derived_cl7816])).
% 14.65/2.83 thf(zip_derived_cl14254, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @
% 14.65/2.83 (divide @ identity @
% 14.65/2.83 (divide @ identity @ (divide @ X1 @ (divide @ identity @ X0)))) @
% 14.65/2.83 X0) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl14024])).
% 14.65/2.83 thf(zip_derived_cl6, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 14.65/2.83 inference('cnf', [status(esa)], [property_of_divide1])).
% 14.65/2.83 thf(zip_derived_cl14681, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ (divide @ identity @ X0) @
% 14.65/2.83 (divide @ identity @ (divide @ X1 @ (divide @ identity @ X0))))
% 14.65/2.83 = (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl14254, zip_derived_cl6])).
% 14.65/2.83 thf(zip_derived_cl14905, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ identity @ X0) @
% 14.65/2.83 (divide @ identity @ (divide @ X1 @ (divide @ identity @ X0))))
% 14.65/2.83 = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl14681])).
% 14.65/2.83 thf(zip_derived_cl369, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ (divide @ X1 @ (divide @ identity @ X0)) @ X0) = (zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl341])).
% 14.65/2.83 thf(zip_derived_cl3, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ X0 @ X1) != (zero))
% 14.65/2.83 | ((divide @ X1 @ X0) != (zero))
% 14.65/2.83 | ((X0) = (X1)))),
% 14.65/2.83 inference('cnf', [status(esa)], [divide_and_equal])).
% 14.65/2.83 thf(zip_derived_cl512, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ X0 @ (divide @ X1 @ (divide @ identity @ X0))) != (zero))
% 14.65/2.83 | ((divide @ X1 @ (divide @ identity @ X0)) = (X0)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl369, zip_derived_cl3])).
% 14.65/2.83 thf(zip_derived_cl550, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ X1 @ (divide @ identity @ X0)) = (X0))
% 14.65/2.83 | ((divide @ X0 @ (divide @ X1 @ (divide @ identity @ X0))) != (zero)))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl512])).
% 14.65/2.83 thf(zip_derived_cl15054, plain,
% 14.65/2.83 (![X0 : $i]:
% 14.65/2.83 (((divide @ identity @ (divide @ identity @ (divide @ identity @ X0)))
% 14.65/2.83 = (divide @ identity @ X0))
% 14.65/2.83 | ((zero) != (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)],
% 14.65/2.83 [zip_derived_cl14905, zip_derived_cl550])).
% 14.65/2.83 thf(zip_derived_cl15274, plain,
% 14.65/2.83 (![X0 : $i]:
% 14.65/2.83 ((divide @ identity @ (divide @ identity @ (divide @ identity @ X0)))
% 14.65/2.83 = (divide @ identity @ X0))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl15054])).
% 14.65/2.83 thf(zip_derived_cl152, plain, (![X0 : $i]: ((zero) = (divide @ X0 @ X0))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl133])).
% 14.65/2.83 thf(zip_derived_cl1, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 14.65/2.83 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [quotient_property])).
% 14.65/2.83 thf(zip_derived_cl3, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ X0 @ X1) != (zero))
% 14.65/2.83 | ((divide @ X1 @ X0) != (zero))
% 14.65/2.83 | ((X0) = (X1)))),
% 14.65/2.83 inference('cnf', [status(esa)], [divide_and_equal])).
% 14.65/2.83 thf(zip_derived_cl49, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((zero) != (zero))
% 14.65/2.83 | ((divide @ (divide @ (divide @ X2 @ X1) @ X0) @
% 14.65/2.83 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))) != (zero))
% 14.65/2.83 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 14.65/2.83 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 14.65/2.83 thf(zip_derived_cl53, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.65/2.83 (((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 14.65/2.83 = (divide @ (divide @ X2 @ X1) @ X0))
% 14.65/2.83 | ((divide @ (divide @ (divide @ X2 @ X1) @ X0) @
% 14.65/2.83 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))) != (zero)))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 14.65/2.83 thf(zip_derived_cl2156, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ (divide @ X1 @ X0) @ zero)
% 14.65/2.83 = (divide @ (divide @ X1 @ X0) @ X0))
% 14.65/2.83 | ((divide @ (divide @ (divide @ X1 @ X0) @ X0) @
% 14.65/2.83 (divide @ (divide @ X1 @ X0) @ zero)) != (zero)))),
% 14.65/2.83 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl53])).
% 14.65/2.83 thf(zip_derived_cl1974, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl1973])).
% 14.65/2.83 thf(zip_derived_cl1974, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl1973])).
% 14.65/2.83 thf(zip_derived_cl0, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 14.65/2.83 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 14.65/2.83 thf(zip_derived_cl2215, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 (((divide @ X1 @ X0) = (divide @ (divide @ X1 @ X0) @ X0))
% 14.65/2.83 | ((zero) != (zero)))),
% 14.65/2.83 inference('demod', [status(thm)],
% 14.65/2.83 [zip_derived_cl2156, zip_derived_cl1974, zip_derived_cl1974,
% 14.65/2.83 zip_derived_cl0])).
% 14.65/2.83 thf(zip_derived_cl2216, plain,
% 14.65/2.83 (![X0 : $i, X1 : $i]:
% 14.65/2.83 ((divide @ X1 @ X0) = (divide @ (divide @ X1 @ X0) @ X0))),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl2215])).
% 14.65/2.83 thf(zip_derived_cl16242, plain,
% 14.65/2.83 (![X0 : $i]:
% 14.65/2.83 ((divide @ identity @ X0)
% 14.65/2.83 = (divide @ (divide @ identity @ X0) @
% 14.65/2.83 (divide @ identity @ (divide @ identity @ X0))))),
% 14.65/2.83 inference('s_sup+', [status(thm)],
% 14.65/2.83 [zip_derived_cl15274, zip_derived_cl2216])).
% 14.65/2.83 thf(zip_derived_cl17045, plain,
% 14.65/2.83 (((divide @ identity @ a) != (divide @ identity @ a))),
% 14.65/2.83 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl16242])).
% 14.65/2.83 thf(zip_derived_cl17046, plain, ($false),
% 14.65/2.83 inference('simplify', [status(thm)], [zip_derived_cl17045])).
% 14.65/2.83
% 14.65/2.83 % SZS output end Refutation
% 14.65/2.83
% 14.65/2.83
% 14.65/2.83 % Terminating...
% 16.07/2.89 % Runner terminated.
% 16.07/2.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------