TSTP Solution File: HEN004-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN004-3 : 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.az6Y9JnLer true
% Computer : n019.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 01:57:43 EDT 2023
% Result : Unsatisfiable 1.44s 0.83s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.az6Y9JnLer true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 13:25:14 EDT 2023
% 0.13/0.35 % 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
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.44/0.83 % Solved by fo/fo1_av.sh.
% 1.44/0.83 % done 81 iterations in 0.046s
% 1.44/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.44/0.83 % SZS output start Refutation
% 1.44/0.83 thf(zero_type, type, zero: $i).
% 1.44/0.83 thf(divide_type, type, divide: $i > $i > $i).
% 1.44/0.83 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.44/0.83 thf(a_type, type, a: $i).
% 1.44/0.83 thf(prove_x_divide_zero_is_x, conjecture, (( divide @ a @ zero ) = ( a ))).
% 1.44/0.83 thf(zf_stmt_0, negated_conjecture, (( divide @ a @ zero ) != ( a )),
% 1.44/0.83 inference('cnf.neg', [status(esa)], [prove_x_divide_zero_is_x])).
% 1.44/0.83 thf(zip_derived_cl7, plain, (((divide @ a @ zero) != (a))),
% 1.44/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.44/0.83 thf(quotient_smaller_than_numerator, axiom,
% 1.44/0.83 (less_equal @ ( divide @ X @ Y ) @ X)).
% 1.44/0.83 thf(zip_derived_cl2, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 1.44/0.83 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.44/0.83 thf(quotient_less_equal1, axiom,
% 1.44/0.83 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 1.44/0.83 thf(zip_derived_cl0, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.44/0.83 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.44/0.83 thf(zip_derived_cl25, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.44/0.83 thf(quotient_property, axiom,
% 1.44/0.83 (less_equal @
% 1.44/0.83 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 1.44/0.83 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 1.44/0.83 thf(zip_derived_cl3, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.83 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.44/0.83 (divide @ (divide @ X0 @ X2) @ X1))),
% 1.44/0.83 inference('cnf', [status(esa)], [quotient_property])).
% 1.44/0.83 thf(less_equal_and_equal, axiom,
% 1.44/0.83 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 1.44/0.83 ( ( X ) = ( Y ) ))).
% 1.44/0.83 thf(zip_derived_cl5, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.44/0.83 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.44/0.83 thf(zip_derived_cl34, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.83 (~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 1.44/0.83 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 1.44/0.83 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 1.44/0.83 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 1.44/0.83 thf(zip_derived_cl151, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (~ (less_equal @ zero @
% 1.44/0.83 (divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)))
% 1.44/0.83 | ((divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)) = (zero)))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl34])).
% 1.44/0.83 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 1.44/0.83 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.44/0.83 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.44/0.83 thf(zip_derived_cl164, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 ((divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)) = (zero))),
% 1.44/0.83 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl4])).
% 1.44/0.83 thf(quotient_less_equal2, axiom,
% 1.44/0.83 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 1.44/0.83 thf(zip_derived_cl1, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.44/0.83 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.44/0.83 thf(zip_derived_cl5, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.44/0.83 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.44/0.83 thf(zip_derived_cl11, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (((divide @ X1 @ X0) != (zero))
% 1.44/0.83 | ~ (less_equal @ X0 @ X1)
% 1.44/0.83 | ((X1) = (X0)))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 1.44/0.83 thf(zip_derived_cl2, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 1.44/0.83 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.44/0.83 thf(zip_derived_cl50, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (((X0) = (divide @ X0 @ X1))
% 1.44/0.83 | ((divide @ X0 @ (divide @ X0 @ X1)) != (zero)))),
% 1.44/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 1.44/0.83 thf(zip_derived_cl186, plain,
% 1.44/0.83 (![X0 : $i]:
% 1.44/0.83 (((divide @ X0 @ X0) = (divide @ (divide @ X0 @ X0) @ X0))
% 1.44/0.83 | ((zero) != (zero)))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl50])).
% 1.44/0.83 thf(zip_derived_cl25, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.44/0.83 thf(zip_derived_cl210, plain,
% 1.44/0.83 (![X0 : $i]: (((divide @ X0 @ X0) = (zero)) | ((zero) != (zero)))),
% 1.44/0.83 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl25])).
% 1.44/0.83 thf(zip_derived_cl211, plain, (![X0 : $i]: ((divide @ X0 @ X0) = (zero))),
% 1.44/0.83 inference('simplify', [status(thm)], [zip_derived_cl210])).
% 1.44/0.83 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.44/0.83 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.44/0.83 thf(zip_derived_cl0, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.44/0.83 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.44/0.83 thf(zip_derived_cl9, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.44/0.83 thf(zip_derived_cl3, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.83 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.44/0.83 (divide @ (divide @ X0 @ X2) @ X1))),
% 1.44/0.83 inference('cnf', [status(esa)], [quotient_property])).
% 1.44/0.83 thf(zip_derived_cl39, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (less_equal @ (divide @ (divide @ X1 @ X0) @ zero) @
% 1.44/0.83 (divide @ (divide @ X1 @ zero) @ X0))),
% 1.44/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 1.44/0.83 thf(zip_derived_cl298, plain,
% 1.44/0.83 (![X0 : $i]:
% 1.44/0.83 (less_equal @
% 1.44/0.83 (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) @ zero)),
% 1.44/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl39])).
% 1.44/0.83 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.44/0.83 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.44/0.83 thf(zip_derived_cl5, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.44/0.83 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.44/0.83 thf(zip_derived_cl13, plain,
% 1.44/0.83 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.44/0.83 thf(zip_derived_cl327, plain,
% 1.44/0.83 (![X0 : $i]:
% 1.44/0.83 ((zero) = (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl13])).
% 1.44/0.83 thf(zip_derived_cl11, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (((divide @ X1 @ X0) != (zero))
% 1.44/0.83 | ~ (less_equal @ X0 @ X1)
% 1.44/0.83 | ((X1) = (X0)))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 1.44/0.83 thf(zip_derived_cl1, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.44/0.83 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.44/0.83 thf(zip_derived_cl48, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (((X0) = (X1))
% 1.44/0.83 | ((divide @ X0 @ X1) != (zero))
% 1.44/0.83 | ((divide @ X1 @ X0) != (zero)))),
% 1.44/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.44/0.83 thf(zip_derived_cl346, plain,
% 1.44/0.83 (![X0 : $i]:
% 1.44/0.83 (((divide @ X0 @ (divide @ X0 @ zero)) = (zero))
% 1.44/0.83 | ((zero) != (zero))
% 1.44/0.83 | ((divide @ zero @ (divide @ X0 @ (divide @ X0 @ zero))) != (zero)))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl48])).
% 1.44/0.83 thf(zip_derived_cl9, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.44/0.83 thf(zip_derived_cl375, plain,
% 1.44/0.83 (![X0 : $i]:
% 1.44/0.83 (((divide @ X0 @ (divide @ X0 @ zero)) = (zero))
% 1.44/0.83 | ((zero) != (zero))
% 1.44/0.83 | ((zero) != (zero)))),
% 1.44/0.83 inference('demod', [status(thm)], [zip_derived_cl346, zip_derived_cl9])).
% 1.44/0.83 thf(zip_derived_cl376, plain,
% 1.44/0.83 (![X0 : $i]: ((divide @ X0 @ (divide @ X0 @ zero)) = (zero))),
% 1.44/0.83 inference('simplify', [status(thm)], [zip_derived_cl375])).
% 1.44/0.83 thf(zip_derived_cl48, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]:
% 1.44/0.83 (((X0) = (X1))
% 1.44/0.83 | ((divide @ X0 @ X1) != (zero))
% 1.44/0.83 | ((divide @ X1 @ X0) != (zero)))),
% 1.44/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.44/0.83 thf(zip_derived_cl395, plain,
% 1.44/0.83 (![X0 : $i]:
% 1.44/0.83 (((X0) = (divide @ X0 @ zero))
% 1.44/0.83 | ((zero) != (zero))
% 1.44/0.83 | ((divide @ (divide @ X0 @ zero) @ X0) != (zero)))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl376, zip_derived_cl48])).
% 1.44/0.83 thf(zip_derived_cl25, plain,
% 1.44/0.83 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.44/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.44/0.83 thf(zip_derived_cl422, plain,
% 1.44/0.83 (![X0 : $i]:
% 1.44/0.83 (((X0) = (divide @ X0 @ zero))
% 1.44/0.83 | ((zero) != (zero))
% 1.44/0.83 | ((zero) != (zero)))),
% 1.44/0.83 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl25])).
% 1.44/0.83 thf(zip_derived_cl423, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 1.44/0.83 inference('simplify', [status(thm)], [zip_derived_cl422])).
% 1.44/0.83 thf(zip_derived_cl436, plain, (((a) != (a))),
% 1.44/0.83 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl423])).
% 1.44/0.83 thf(zip_derived_cl437, plain, ($false),
% 1.44/0.83 inference('simplify', [status(thm)], [zip_derived_cl436])).
% 1.44/0.83
% 1.44/0.83 % SZS output end Refutation
% 1.44/0.83
% 1.44/0.83
% 1.44/0.84 % Terminating...
% 1.44/0.86 % Runner terminated.
% 1.44/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------