%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN008-6 : 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.mu4A5FblAn true
% Computer : n007.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 04:37:24 PM UTC 2025
% Result : Unsatisfiable 1.18s 0.71s
% Output : Refutation 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN008-6 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mu4A5FblAn true
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:54:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.60 % Total configuration time : 435
% 0.19/0.60 % Estimated wc time : 1092
% 0.19/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.79/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.71 % Solved by fo/fo6_bce.sh.
% 1.18/0.71 % BCE start: 12
% 1.18/0.71 % BCE eliminated: 0
% 1.18/0.71 % PE start: 12
% 1.18/0.71 logic: eq
% 1.18/0.71 % PE eliminated: 0
% 1.18/0.71 % done 52 iterations in 0.029s
% 1.18/0.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.18/0.71 % SZS output start Refutation
% 1.18/0.71 thf(zero_type, type, zero: $i).
% 1.18/0.71 thf(divide_type, type, divide: $i > $i > $i).
% 1.18/0.71 thf(b_type, type, b: $i).
% 1.18/0.71 thf(a_type, type, a: $i).
% 1.18/0.71 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.18/0.71 thf(c_type, type, c: $i).
% 1.18/0.71 thf(quotient_less_equal2, axiom,
% 1.18/0.71 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 1.18/0.71 thf(zip_derived_cl1, plain,
% 1.18/0.71 (![X0 : $i, X1 : $i]:
% 1.18/0.71 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.18/0.71 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.18/0.71 thf(prove_a_divide_c_LE_b_divide_c, conjecture,
% 1.18/0.71 (less_equal @ ( divide @ a @ c ) @ ( divide @ b @ c ))).
% 1.18/0.71 thf(zf_stmt_0, negated_conjecture,
% 1.18/0.71 (~( less_equal @ ( divide @ a @ c ) @ ( divide @ b @ c ) )),
% 1.18/0.71 inference('cnf.neg', [status(esa)], [prove_a_divide_c_LE_b_divide_c])).
% 1.18/0.71 thf(zip_derived_cl11, plain,
% 1.18/0.71 (~ (less_equal @ (divide @ a @ c) @ (divide @ b @ c))),
% 1.18/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.18/0.71 thf(zip_derived_cl40, plain,
% 1.18/0.71 (((divide @ (divide @ a @ c) @ (divide @ b @ c)) != (zero))),
% 1.18/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 1.18/0.71 thf(a_LE_b, axiom, (less_equal @ a @ b)).
% 1.18/0.71 thf(zip_derived_cl10, plain, ( (less_equal @ a @ b)),
% 1.18/0.71 inference('cnf', [status(esa)], [a_LE_b])).
% 1.18/0.71 thf(quotient_less_equal1, axiom,
% 1.18/0.71 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 1.18/0.71 thf(zip_derived_cl0, plain,
% 1.18/0.71 (![X0 : $i, X1 : $i]:
% 1.18/0.71 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.18/0.71 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.18/0.71 thf(zip_derived_cl38, plain, (((divide @ a @ b) = (zero))),
% 1.18/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 1.18/0.71 thf(quotient_property, axiom,
% 1.18/0.71 (less_equal @
% 1.18/0.71 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 1.18/0.71 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 1.18/0.71 thf(zip_derived_cl3, plain,
% 1.18/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.18/0.71 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.18/0.71 (divide @ (divide @ X0 @ X2) @ X1))),
% 1.18/0.71 inference('cnf', [status(esa)], [quotient_property])).
% 1.18/0.71 thf(zip_derived_cl52, plain,
% 1.18/0.71 (![X0 : $i]:
% 1.18/0.71 (less_equal @ (divide @ (divide @ a @ X0) @ (divide @ b @ X0)) @
% 1.18/0.71 (divide @ zero @ X0))),
% 1.18/0.71 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl3])).
% 1.18/0.71 thf(zero_divide_anything_is_zero, axiom, (( divide @ zero @ X ) = ( zero ))).
% 1.18/0.71 thf(zip_derived_cl8, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.18/0.71 inference('cnf', [status(esa)], [zero_divide_anything_is_zero])).
% 1.18/0.71 thf(zip_derived_cl66, plain,
% 1.18/0.71 (![X0 : $i]:
% 1.18/0.71 (less_equal @ (divide @ (divide @ a @ X0) @ (divide @ b @ X0)) @ zero)),
% 1.18/0.71 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl8])).
% 1.18/0.71 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 1.18/0.71 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.18/0.71 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.18/0.71 thf(less_equal_and_equal, axiom,
% 1.18/0.71 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 1.18/0.71 ( ( X ) = ( Y ) ))).
% 1.18/0.71 thf(zip_derived_cl5, plain,
% 1.18/0.71 (![X0 : $i, X1 : $i]:
% 1.18/0.71 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.18/0.71 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.18/0.71 thf(zip_derived_cl77, plain,
% 1.18/0.71 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.18/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.18/0.71 thf(zip_derived_cl330, plain,
% 1.18/0.71 (![X0 : $i]: ((zero) = (divide @ (divide @ a @ X0) @ (divide @ b @ X0)))),
% 1.18/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl77])).
% 1.18/0.71 thf(zip_derived_cl343, plain, (((zero) != (zero))),
% 1.18/0.71 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl330])).
% 1.18/0.71 thf(zip_derived_cl344, plain, ($false),
% 1.18/0.71 inference('simplify', [status(thm)], [zip_derived_cl343])).
% 1.18/0.71
% 1.18/0.71 % SZS output end Refutation
% 1.18/0.71
% 1.18/0.71
% 1.18/0.71 % Terminating...
% 1.33/0.81 % Runner terminated.
% 1.33/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------