TSTP Solution File: HEN007-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN007-3 : 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.RIBdRGNm8b true
% Computer : n010.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 01:57:48 EDT 2023
% Result : Unsatisfiable 1.59s 1.05s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN007-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RIBdRGNm8b true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 13:25:35 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.59/1.05 % Solved by fo/fo5.sh.
% 1.59/1.05 % done 377 iterations in 0.258s
% 1.59/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.59/1.05 % SZS output start Refutation
% 1.59/1.05 thf(zero_type, type, zero: $i).
% 1.59/1.05 thf(divide_type, type, divide: $i > $i > $i).
% 1.59/1.05 thf(b_type, type, b: $i).
% 1.59/1.05 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.59/1.05 thf(c_type, type, c: $i).
% 1.59/1.05 thf(a_type, type, a: $i).
% 1.59/1.05 thf(prove_c_divide_b_LE_c_divide_a, conjecture,
% 1.59/1.05 (less_equal @ ( divide @ c @ b ) @ ( divide @ c @ a ))).
% 1.59/1.05 thf(zf_stmt_0, negated_conjecture,
% 1.59/1.05 (~( less_equal @ ( divide @ c @ b ) @ ( divide @ c @ a ) )),
% 1.59/1.05 inference('cnf.neg', [status(esa)], [prove_c_divide_b_LE_c_divide_a])).
% 1.59/1.05 thf(zip_derived_cl8, plain,
% 1.59/1.05 (~ (less_equal @ (divide @ c @ b) @ (divide @ c @ a))),
% 1.59/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.59/1.05 thf(a_LE_b, axiom, (less_equal @ a @ b)).
% 1.59/1.05 thf(zip_derived_cl7, plain, ( (less_equal @ a @ b)),
% 1.59/1.05 inference('cnf', [status(esa)], [a_LE_b])).
% 1.59/1.05 thf(quotient_less_equal1, axiom,
% 1.59/1.05 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 1.59/1.05 thf(zip_derived_cl0, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.59/1.05 thf(zip_derived_cl11, plain, (((divide @ a @ b) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 1.59/1.05 thf(quotient_property, axiom,
% 1.59/1.05 (less_equal @
% 1.59/1.05 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 1.59/1.05 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 1.59/1.05 thf(zip_derived_cl3, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.59/1.05 (divide @ (divide @ X0 @ X2) @ X1))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_property])).
% 1.59/1.05 thf(zip_derived_cl0, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.59/1.05 thf(zip_derived_cl35, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 ((divide @ (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)) @
% 1.59/1.05 (divide @ (divide @ X2 @ X1) @ X0)) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl35, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 ((divide @ (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)) @
% 1.59/1.05 (divide @ (divide @ X2 @ X1) @ X0)) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl127, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 ((divide @
% 1.59/1.05 (divide @
% 1.59/1.05 (divide @ (divide @ X2 @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 1.59/1.05 (divide @ (divide @ X1 @ X0) @ (divide @ (divide @ X2 @ X1) @ X0))) @
% 1.59/1.05 zero) = (zero))),
% 1.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl35])).
% 1.59/1.05 thf(zip_derived_cl2201, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 ((divide @
% 1.59/1.05 (divide @
% 1.59/1.05 (divide @ (divide @ X0 @ b) @ (divide @ (divide @ X0 @ a) @ b)) @
% 1.59/1.05 (divide @ zero @ (divide @ (divide @ X0 @ a) @ b))) @
% 1.59/1.05 zero) = (zero))),
% 1.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl127])).
% 1.59/1.05 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 1.59/1.05 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.59/1.05 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.59/1.05 thf(zip_derived_cl0, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.59/1.05 thf(zip_derived_cl10, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.59/1.05 thf(quotient_smaller_than_numerator, axiom,
% 1.59/1.05 (less_equal @ ( divide @ X @ Y ) @ X)).
% 1.59/1.05 thf(zip_derived_cl2, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.59/1.05 thf(zip_derived_cl0, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.59/1.05 thf(zip_derived_cl16, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl16, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl3, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.59/1.05 (divide @ (divide @ X0 @ X2) @ X1))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_property])).
% 1.59/1.05 thf(less_equal_and_equal, axiom,
% 1.59/1.05 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 1.59/1.05 ( ( X ) = ( Y ) ))).
% 1.59/1.05 thf(zip_derived_cl5, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.59/1.05 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.59/1.05 thf(zip_derived_cl36, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 (((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 1.59/1.05 = (divide @ (divide @ X2 @ X1) @ X0))
% 1.59/1.05 | ~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 1.59/1.05 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 1.59/1.05 thf(zip_derived_cl274, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (~ (less_equal @ zero @
% 1.59/1.05 (divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)))
% 1.59/1.05 | ((divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0))
% 1.59/1.05 = (divide @ (divide @ X0 @ X1) @ X0)))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl36])).
% 1.59/1.05 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.59/1.05 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.59/1.05 thf(zip_derived_cl16, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl301, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 ((divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)) = (zero))),
% 1.59/1.05 inference('demod', [status(thm)],
% 1.59/1.05 [zip_derived_cl274, zip_derived_cl4, zip_derived_cl16])).
% 1.59/1.05 thf(zip_derived_cl387, plain,
% 1.59/1.05 (![X0 : $i]: ((divide @ (divide @ X0 @ X0) @ zero) = (zero))),
% 1.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl301])).
% 1.59/1.05 thf(quotient_less_equal2, axiom,
% 1.59/1.05 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 1.59/1.05 thf(zip_derived_cl1, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.59/1.05 thf(zip_derived_cl419, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 (((zero) != (zero)) | (less_equal @ (divide @ X0 @ X0) @ zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl1])).
% 1.59/1.05 thf(zip_derived_cl442, plain,
% 1.59/1.05 (![X0 : $i]: (less_equal @ (divide @ X0 @ X0) @ zero)),
% 1.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl419])).
% 1.59/1.05 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.59/1.05 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.59/1.05 thf(zip_derived_cl5, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.59/1.05 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.59/1.05 thf(zip_derived_cl32, plain,
% 1.59/1.05 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.59/1.05 thf(zip_derived_cl457, plain, (![X0 : $i]: ((zero) = (divide @ X0 @ X0))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl442, zip_derived_cl32])).
% 1.59/1.05 thf(zip_derived_cl10, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl3, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.59/1.05 (divide @ (divide @ X0 @ X2) @ X1))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_property])).
% 1.59/1.05 thf(zip_derived_cl46, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (less_equal @ (divide @ (divide @ X1 @ X0) @ zero) @
% 1.59/1.05 (divide @ (divide @ X1 @ zero) @ X0))),
% 1.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 1.59/1.05 thf(zip_derived_cl622, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 (less_equal @
% 1.59/1.05 (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) @ zero)),
% 1.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl457, zip_derived_cl46])).
% 1.59/1.05 thf(zip_derived_cl32, plain,
% 1.59/1.05 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.59/1.05 thf(zip_derived_cl1107, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 ((zero) = (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl622, zip_derived_cl32])).
% 1.59/1.05 thf(zip_derived_cl1, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.59/1.05 thf(zip_derived_cl1382, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 (((zero) != (zero))
% 1.59/1.05 | (less_equal @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl1107, zip_derived_cl1])).
% 1.59/1.05 thf(zip_derived_cl1434, plain,
% 1.59/1.05 (![X0 : $i]: (less_equal @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero)),
% 1.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl1382])).
% 1.59/1.05 thf(zip_derived_cl32, plain,
% 1.59/1.05 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.59/1.05 thf(zip_derived_cl1699, plain,
% 1.59/1.05 (![X0 : $i]: ((zero) = (divide @ X0 @ (divide @ X0 @ zero)))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl1434, zip_derived_cl32])).
% 1.59/1.05 thf(zip_derived_cl1, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.59/1.05 thf(zip_derived_cl1716, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 (((zero) != (zero)) | (less_equal @ X0 @ (divide @ X0 @ zero)))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl1699, zip_derived_cl1])).
% 1.59/1.05 thf(zip_derived_cl1798, plain,
% 1.59/1.05 (![X0 : $i]: (less_equal @ X0 @ (divide @ X0 @ zero))),
% 1.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl1716])).
% 1.59/1.05 thf(zip_derived_cl2, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.59/1.05 thf(zip_derived_cl5, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.59/1.05 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.59/1.05 thf(zip_derived_cl31, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (((divide @ X0 @ X1) = (X0))
% 1.59/1.05 | ~ (less_equal @ X0 @ (divide @ X0 @ X1)))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 1.59/1.05 thf(zip_derived_cl1852, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl1798, zip_derived_cl31])).
% 1.59/1.05 thf(zip_derived_cl1852, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl1798, zip_derived_cl31])).
% 1.59/1.05 thf(zip_derived_cl2269, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 ((divide @ (divide @ X0 @ b) @ (divide @ (divide @ X0 @ a) @ b))
% 1.59/1.05 = (zero))),
% 1.59/1.05 inference('demod', [status(thm)],
% 1.59/1.05 [zip_derived_cl2201, zip_derived_cl10, zip_derived_cl1852,
% 1.59/1.05 zip_derived_cl1852])).
% 1.59/1.05 thf(zip_derived_cl16, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl35, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 ((divide @ (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)) @
% 1.59/1.05 (divide @ (divide @ X2 @ X1) @ X0)) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl141, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 ((divide @ (divide @ (divide @ X2 @ X0) @ zero) @
% 1.59/1.05 (divide @ (divide @ X2 @ (divide @ X0 @ X1)) @ X0)) = (zero))),
% 1.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl35])).
% 1.59/1.05 thf(zip_derived_cl1852, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl1798, zip_derived_cl31])).
% 1.59/1.05 thf(zip_derived_cl2773, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.59/1.05 ((divide @ (divide @ X2 @ X0) @
% 1.59/1.05 (divide @ (divide @ X2 @ (divide @ X0 @ X1)) @ X0)) = (zero))),
% 1.59/1.05 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl1852])).
% 1.59/1.05 thf(zip_derived_cl2832, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 ((divide @ (divide @ (divide @ X0 @ b) @ (divide @ X0 @ a)) @
% 1.59/1.05 (divide @ zero @ (divide @ X0 @ a))) = (zero))),
% 1.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl2269, zip_derived_cl2773])).
% 1.59/1.05 thf(zip_derived_cl10, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.59/1.05 thf(zip_derived_cl1852, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl1798, zip_derived_cl31])).
% 1.59/1.05 thf(zip_derived_cl2883, plain,
% 1.59/1.05 (![X0 : $i]: ((divide @ (divide @ X0 @ b) @ (divide @ X0 @ a)) = (zero))),
% 1.59/1.05 inference('demod', [status(thm)],
% 1.59/1.05 [zip_derived_cl2832, zip_derived_cl10, zip_derived_cl1852])).
% 1.59/1.05 thf(zip_derived_cl1, plain,
% 1.59/1.05 (![X0 : $i, X1 : $i]:
% 1.59/1.05 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.59/1.05 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.59/1.05 thf(zip_derived_cl2949, plain,
% 1.59/1.05 (![X0 : $i]:
% 1.59/1.05 (((zero) != (zero))
% 1.59/1.05 | (less_equal @ (divide @ X0 @ b) @ (divide @ X0 @ a)))),
% 1.59/1.05 inference('sup-', [status(thm)], [zip_derived_cl2883, zip_derived_cl1])).
% 1.59/1.05 thf(zip_derived_cl3007, plain,
% 1.59/1.05 (![X0 : $i]: (less_equal @ (divide @ X0 @ b) @ (divide @ X0 @ a))),
% 1.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl2949])).
% 1.59/1.05 thf(zip_derived_cl3042, plain, ($false),
% 1.59/1.05 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl3007])).
% 1.59/1.05
% 1.59/1.05 % SZS output end Refutation
% 1.59/1.05
% 1.59/1.05
% 1.59/1.05 % Terminating...
% 1.59/1.09 % Runner terminated.
% 1.59/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------