%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN006-6 : 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.I0SyzpAj8M true
% Computer : n006.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 04:37:22 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN006-6 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I0SyzpAj8M true
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:54:53 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.79 % Solved by fo/fo6_bce.sh.
% 0.59/0.79 % BCE start: 12
% 0.59/0.79 % BCE eliminated: 0
% 0.59/0.79 % PE start: 12
% 0.59/0.79 logic: eq
% 0.59/0.79 % PE eliminated: 0
% 0.59/0.79 % done 76 iterations in 0.052s
% 0.59/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.79 % SZS output start Refutation
% 0.59/0.79 thf(zero_type, type, zero: $i).
% 0.59/0.79 thf(divide_type, type, divide: $i > $i > $i).
% 0.59/0.79 thf(b_type, type, b: $i).
% 0.59/0.79 thf(a_type, type, a: $i).
% 0.59/0.79 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.59/0.79 thf(d_type, type, d: $i).
% 0.59/0.79 thf(a_divide_b_LE_d, axiom, (less_equal @ ( divide @ a @ b ) @ d)).
% 0.59/0.79 thf(zip_derived_cl10, plain, ( (less_equal @ (divide @ a @ b) @ d)),
% 0.59/0.79 inference('cnf', [status(esa)], [a_divide_b_LE_d])).
% 0.59/0.79 thf(quotient_less_equal1, axiom,
% 0.59/0.79 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 0.59/0.79 thf(zip_derived_cl0, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]:
% 0.59/0.79 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 0.59/0.79 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 0.59/0.79 thf(zip_derived_cl36, plain, (((divide @ (divide @ a @ b) @ d) = (zero))),
% 0.59/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.59/0.79 thf(quotient_property, axiom,
% 0.59/0.79 (less_equal @
% 0.59/0.79 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 0.59/0.79 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 0.59/0.79 thf(zip_derived_cl3, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.79 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.59/0.79 (divide @ (divide @ X0 @ X2) @ X1))),
% 0.59/0.79 inference('cnf', [status(esa)], [quotient_property])).
% 0.59/0.79 thf(zip_derived_cl49, plain,
% 0.59/0.79 ( (less_equal @ (divide @ (divide @ a @ d) @ (divide @ b @ d)) @ zero)),
% 0.59/0.79 inference('s_sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl3])).
% 0.59/0.79 thf(less_equal_and_equal, axiom,
% 0.59/0.79 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.59/0.79 ( ( X ) = ( Y ) ))).
% 0.59/0.79 thf(zip_derived_cl5, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]:
% 0.59/0.79 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.59/0.79 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.59/0.79 thf(zip_derived_cl99, plain,
% 0.59/0.79 ((~ (less_equal @ zero @ (divide @ (divide @ a @ d) @ (divide @ b @ d)))
% 0.59/0.79 | ((divide @ (divide @ a @ d) @ (divide @ b @ d)) = (zero)))),
% 0.59/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 0.59/0.79 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.59/0.79 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.59/0.79 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.59/0.79 thf(zip_derived_cl100, plain,
% 0.59/0.79 (((divide @ (divide @ a @ d) @ (divide @ b @ d)) = (zero))),
% 0.59/0.79 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl4])).
% 0.59/0.79 thf(quotient_smaller_than_numerator, axiom,
% 0.59/0.79 (less_equal @ ( divide @ X @ Y ) @ X)).
% 0.59/0.79 thf(zip_derived_cl2, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 0.59/0.79 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 0.59/0.79 thf(zip_derived_cl0, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]:
% 0.59/0.79 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 0.59/0.79 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 0.59/0.79 thf(zip_derived_cl41, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 0.59/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.59/0.79 thf(zip_derived_cl3, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.79 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.59/0.79 (divide @ (divide @ X0 @ X2) @ X1))),
% 0.59/0.79 inference('cnf', [status(esa)], [quotient_property])).
% 0.59/0.79 thf(zip_derived_cl85, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.79 (less_equal @ (divide @ (divide @ X2 @ X0) @ zero) @
% 0.59/0.79 (divide @ (divide @ X2 @ (divide @ X0 @ X1)) @ X0))),
% 0.59/0.79 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl3])).
% 0.59/0.79 thf(zip_derived_cl490, plain,
% 0.59/0.79 ( (less_equal @ (divide @ (divide @ (divide @ a @ d) @ b) @ zero) @
% 0.59/0.79 (divide @ zero @ b))),
% 0.59/0.79 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl85])).
% 0.59/0.79 thf(zero_divide_anything_is_zero, axiom, (( divide @ zero @ X ) = ( zero ))).
% 0.59/0.79 thf(zip_derived_cl8, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.59/0.79 inference('cnf', [status(esa)], [zero_divide_anything_is_zero])).
% 0.59/0.79 thf(zip_derived_cl515, plain,
% 0.59/0.79 ( (less_equal @ (divide @ (divide @ (divide @ a @ d) @ b) @ zero) @ zero)),
% 0.59/0.79 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl8])).
% 0.59/0.79 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.59/0.79 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.59/0.79 thf(zip_derived_cl5, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]:
% 0.59/0.79 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.59/0.79 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.59/0.79 thf(zip_derived_cl79, plain,
% 0.59/0.79 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.59/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.59/0.79 thf(zip_derived_cl528, plain,
% 0.59/0.79 (((zero) = (divide @ (divide @ (divide @ a @ d) @ b) @ zero))),
% 0.59/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl515, zip_derived_cl79])).
% 0.59/0.79 thf(quotient_less_equal2, axiom,
% 0.59/0.79 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 0.59/0.79 thf(zip_derived_cl1, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]:
% 0.59/0.79 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 0.59/0.79 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.59/0.79 thf(zip_derived_cl5, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]:
% 0.59/0.79 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.59/0.79 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.59/0.79 thf(zip_derived_cl74, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]:
% 0.59/0.79 (((divide @ X1 @ X0) != (zero))
% 0.59/0.79 | ~ (less_equal @ X0 @ X1)
% 0.59/0.79 | ((X1) = (X0)))),
% 0.59/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.59/0.79 thf(zip_derived_cl547, plain,
% 0.59/0.79 ((((zero) != (zero))
% 0.59/0.79 | ~ (less_equal @ zero @ (divide @ (divide @ a @ d) @ b))
% 0.59/0.79 | ((divide @ (divide @ a @ d) @ b) = (zero)))),
% 0.59/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl528, zip_derived_cl74])).
% 0.59/0.79 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.59/0.79 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.59/0.79 thf(zip_derived_cl572, plain,
% 0.59/0.79 ((((zero) != (zero)) | ((divide @ (divide @ a @ d) @ b) = (zero)))),
% 0.59/0.79 inference('demod', [status(thm)], [zip_derived_cl547, zip_derived_cl4])).
% 0.59/0.79 thf(zip_derived_cl573, plain, (((divide @ (divide @ a @ d) @ b) = (zero))),
% 0.59/0.79 inference('simplify', [status(thm)], [zip_derived_cl572])).
% 0.59/0.79 thf(zip_derived_cl1, plain,
% 0.59/0.79 (![X0 : $i, X1 : $i]:
% 0.59/0.79 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 0.59/0.79 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.59/0.79 thf(prove_a_divide_d_LE_b, conjecture, (less_equal @ ( divide @ a @ d ) @ b)).
% 0.59/0.79 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.79 (~( less_equal @ ( divide @ a @ d ) @ b )),
% 0.59/0.79 inference('cnf.neg', [status(esa)], [prove_a_divide_d_LE_b])).
% 0.59/0.79 thf(zip_derived_cl11, plain, (~ (less_equal @ (divide @ a @ d) @ b)),
% 0.59/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.79 thf(zip_derived_cl40, plain, (((divide @ (divide @ a @ d) @ b) != (zero))),
% 0.59/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 0.59/0.79 thf(zip_derived_cl574, plain, ($false),
% 0.59/0.79 inference('simplify_reflect-', [status(thm)],
% 0.59/0.79 [zip_derived_cl573, zip_derived_cl40])).
% 0.59/0.79
% 0.59/0.79 % SZS output end Refutation
% 0.59/0.79
% 0.59/0.79
% 0.59/0.79 % Terminating...
% 0.59/0.85 % Runner terminated.
% 1.46/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------