%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN008-4 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ec0SWUf55r true
% Computer : n009.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 Oct 2 04:37:23 PM UTC 2025
% Result : Unsatisfiable 0.50s 0.92s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : HEN008-4 : TPTP v9.2.0. Released v1.0.0.
% 0.09/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ec0SWUf55r true
% 0.13/0.37 % Computer : n009.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Oct 1 16:53:53 EDT 2025
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.48/0.62 % Total configuration time : 435
% 0.48/0.62 % Estimated wc time : 1092
% 0.48/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.92 % Solved by fo/fo5.sh.
% 0.50/0.92 % done 201 iterations in 0.160s
% 0.50/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.92 % SZS output start Refutation
% 0.50/0.92 thf(zero_type, type, zero: $i).
% 0.50/0.92 thf(divide_type, type, divide: $i > $i > $i).
% 0.50/0.92 thf(b_type, type, b: $i).
% 0.50/0.92 thf(c_type, type, c: $i).
% 0.50/0.92 thf(a_type, type, a: $i).
% 0.50/0.92 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.50/0.92 thf(prove_a_divide_c_LE_b_divide_c, conjecture,
% 0.50/0.92 (less_equal @ ( divide @ a @ c ) @ ( divide @ b @ c ))).
% 0.50/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.50/0.92 (~( less_equal @ ( divide @ a @ c ) @ ( divide @ b @ c ) )),
% 0.50/0.92 inference('cnf.neg', [status(esa)], [prove_a_divide_c_LE_b_divide_c])).
% 0.50/0.92 thf(zip_derived_cl15, plain,
% 0.50/0.92 (~ (less_equal @ (divide @ a @ c) @ (divide @ b @ c))),
% 0.50/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.92 thf(a_LE_b, axiom, (less_equal @ a @ b)).
% 0.50/0.92 thf(zip_derived_cl14, plain, ( (less_equal @ a @ b)),
% 0.50/0.92 inference('cnf', [status(esa)], [a_LE_b])).
% 0.50/0.92 thf(quotient_less_equal1, axiom,
% 0.50/0.92 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 0.50/0.92 thf(zip_derived_cl0, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i]:
% 0.50/0.92 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 0.50/0.92 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 0.50/0.92 thf(zip_derived_cl23, plain, (((divide @ a @ b) = (zero))),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 0.50/0.92 thf(quotient_property, axiom,
% 0.50/0.92 (less_equal @
% 0.50/0.92 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 0.50/0.92 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 0.50/0.92 thf(zip_derived_cl3, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.92 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.50/0.92 (divide @ (divide @ X0 @ X2) @ X1))),
% 0.50/0.92 inference('cnf', [status(esa)], [quotient_property])).
% 0.50/0.92 thf(property_of_divide1, axiom,
% 0.50/0.92 (( ~( less_equal @ ( divide @ X @ Y ) @ Z ) ) |
% 0.50/0.92 ( less_equal @ ( divide @ X @ Z ) @ Y ))).
% 0.50/0.92 thf(zip_derived_cl12, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.92 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 0.50/0.92 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 0.50/0.92 inference('cnf', [status(esa)], [property_of_divide1])).
% 0.50/0.92 thf(zip_derived_cl73, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.92 (less_equal @
% 0.50/0.92 (divide @ (divide @ X2 @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 0.50/0.92 (divide @ X1 @ X0))),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 0.50/0.92 thf(zip_derived_cl846, plain,
% 0.50/0.92 (![X0 : $i]:
% 0.50/0.92 (less_equal @ (divide @ (divide @ a @ X0) @ (divide @ zero @ X0)) @
% 0.50/0.92 (divide @ b @ X0))),
% 0.50/0.92 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl73])).
% 0.50/0.92 thf(zero_divide_anything_is_zero, axiom, (( divide @ zero @ X ) = ( zero ))).
% 0.50/0.92 thf(zip_derived_cl8, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.50/0.92 inference('cnf', [status(esa)], [zero_divide_anything_is_zero])).
% 0.50/0.92 thf(x_divide_x_is_zero, axiom, (( divide @ X @ X ) = ( zero ))).
% 0.50/0.92 thf(zip_derived_cl9, plain, (![X0 : $i]: ((divide @ X0 @ X0) = (zero))),
% 0.50/0.92 inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 0.50/0.92 thf(quotient_less_equal2, axiom,
% 0.50/0.92 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 0.50/0.92 thf(zip_derived_cl1, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i]:
% 0.50/0.92 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 0.50/0.92 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.50/0.92 thf(zip_derived_cl26, plain,
% 0.50/0.92 (![X0 : $i]: (((zero) != (zero)) | (less_equal @ X0 @ X0))),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 0.50/0.92 thf(zip_derived_cl31, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 0.50/0.92 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 0.50/0.92 thf(zip_derived_cl12, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.92 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 0.50/0.92 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 0.50/0.92 inference('cnf', [status(esa)], [property_of_divide1])).
% 0.50/0.92 thf(zip_derived_cl108, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i]:
% 0.50/0.92 (less_equal @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0)),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl12])).
% 0.50/0.92 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.50/0.92 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.50/0.92 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.50/0.92 thf(less_equal_and_equal, axiom,
% 0.50/0.92 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.50/0.92 ( ( X ) = ( Y ) ))).
% 0.50/0.92 thf(zip_derived_cl5, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i]:
% 0.50/0.92 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.50/0.92 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.50/0.92 thf(zip_derived_cl37, plain,
% 0.50/0.92 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.50/0.92 thf(zip_derived_cl517, plain,
% 0.50/0.92 (![X0 : $i]: ((zero) = (divide @ X0 @ (divide @ X0 @ zero)))),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl37])).
% 0.50/0.92 thf(zip_derived_cl1, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i]:
% 0.50/0.92 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 0.50/0.92 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.50/0.92 thf(zip_derived_cl587, plain,
% 0.50/0.92 (![X0 : $i]:
% 0.50/0.92 (((zero) != (zero)) | (less_equal @ X0 @ (divide @ X0 @ zero)))),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl1])).
% 0.50/0.92 thf(zip_derived_cl627, plain,
% 0.50/0.92 (![X0 : $i]: (less_equal @ X0 @ (divide @ X0 @ zero))),
% 0.50/0.92 inference('simplify', [status(thm)], [zip_derived_cl587])).
% 0.50/0.92 thf(quotient_smaller_than_numerator, axiom,
% 0.50/0.92 (less_equal @ ( divide @ X @ Y ) @ X)).
% 0.50/0.92 thf(zip_derived_cl2, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 0.50/0.92 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 0.50/0.92 thf(zip_derived_cl5, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i]:
% 0.50/0.92 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.50/0.92 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.50/0.92 thf(zip_derived_cl36, plain,
% 0.50/0.92 (![X0 : $i, X1 : $i]:
% 0.50/0.92 (((divide @ X0 @ X1) = (X0))
% 0.50/0.92 | ~ (less_equal @ X0 @ (divide @ X0 @ X1)))),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 0.50/0.92 thf(zip_derived_cl732, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 0.50/0.92 inference('sup-', [status(thm)], [zip_derived_cl627, zip_derived_cl36])).
% 0.50/0.92 thf(zip_derived_cl871, plain,
% 0.50/0.92 (![X0 : $i]: (less_equal @ (divide @ a @ X0) @ (divide @ b @ X0))),
% 0.50/0.92 inference('demod', [status(thm)],
% 0.50/0.92 [zip_derived_cl846, zip_derived_cl8, zip_derived_cl732])).
% 0.50/0.92 thf(zip_derived_cl996, plain, ($false),
% 0.50/0.92 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl871])).
% 0.50/0.92
% 0.50/0.92 % SZS output end Refutation
% 0.50/0.92
% 0.50/0.92
% 0.50/0.92 % Terminating...
% 2.07/1.04 % Runner terminated.
% 2.07/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------