%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN012-3 : 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.iAGQKKOenx true
% Computer : n027.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 04:37:26 PM UTC 2025
% Result : Unsatisfiable 0.19s 1.03s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.36 % Problem : HEN012-3 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.37 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iAGQKKOenx true
% 0.17/0.59 % Computer : n027.cluster.edu
% 0.17/0.59 % Model : x86_64 x86_64
% 0.17/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.59 % Memory : 8042.1875MB
% 0.17/0.59 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.59 % CPULimit : 300
% 0.17/0.59 % WCLimit : 300
% 0.17/0.60 % DateTime : Wed Oct 1 16:54:23 EDT 2025
% 0.17/0.60 % CPUTime :
% 0.17/0.60 % Running portfolio for 300 s
% 0.17/0.60 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.60 % Number of cores: 8
% 0.17/0.60 % Python version: Python 3.6.8
% 0.17/0.60 % Running in FO mode
% 0.19/0.90 % Total configuration time : 435
% 0.19/0.90 % Estimated wc time : 1092
% 0.19/0.90 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.95 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/1.02 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/1.03 % Solved by fo/fo6_bce.sh.
% 0.19/1.03 % BCE start: 8
% 0.19/1.03 % BCE eliminated: 0
% 0.19/1.03 % PE start: 8
% 0.19/1.03 logic: eq
% 0.19/1.03 % PE eliminated: 0
% 0.19/1.03 % done 72 iterations in 0.065s
% 0.19/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/1.03 % SZS output start Refutation
% 0.19/1.03 thf(zero_type, type, zero: $i).
% 0.19/1.03 thf(divide_type, type, divide: $i > $i > $i).
% 0.19/1.03 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.19/1.03 thf(a_type, type, a: $i).
% 0.19/1.03 thf(prove_a_LE_a, conjecture, (less_equal @ a @ a)).
% 0.19/1.03 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ a @ a )),
% 0.19/1.03 inference('cnf.neg', [status(esa)], [prove_a_LE_a])).
% 0.19/1.03 thf(zip_derived_cl7, plain, (~ (less_equal @ a @ a)),
% 0.19/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.19/1.03 thf(quotient_smaller_than_numerator, axiom,
% 0.19/1.03 (less_equal @ ( divide @ X @ Y ) @ X)).
% 0.19/1.03 thf(zip_derived_cl2, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 0.19/1.03 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 0.19/1.03 thf(zip_derived_cl2, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 0.19/1.03 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 0.19/1.03 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.19/1.03 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.19/1.03 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.19/1.03 thf(less_equal_and_equal, axiom,
% 0.19/1.03 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.19/1.03 ( ( X ) = ( Y ) ))).
% 0.19/1.03 thf(zip_derived_cl5, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i]:
% 0.19/1.03 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.19/1.03 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.19/1.03 thf(zip_derived_cl31, plain,
% 0.19/1.03 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.19/1.03 thf(zip_derived_cl38, plain, (![X0 : $i]: ((zero) = (divide @ zero @ X0))),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl31])).
% 0.19/1.03 thf(quotient_less_equal1, axiom,
% 0.19/1.03 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 0.19/1.03 thf(zip_derived_cl0, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i]:
% 0.19/1.03 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 0.19/1.03 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 0.19/1.03 thf(quotient_property, axiom,
% 0.19/1.03 (less_equal @
% 0.19/1.03 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 0.19/1.03 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 0.19/1.03 thf(zip_derived_cl3, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/1.03 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.19/1.03 (divide @ (divide @ X0 @ X2) @ X1))),
% 0.19/1.03 inference('cnf', [status(esa)], [quotient_property])).
% 0.19/1.03 thf(zip_derived_cl5, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i]:
% 0.19/1.03 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.19/1.03 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.19/1.03 thf(zip_derived_cl48, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/1.03 (~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 0.19/1.03 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 0.19/1.03 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 0.19/1.03 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 0.19/1.03 thf(zip_derived_cl68, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/1.03 (~ (less_equal @ (divide @ X2 @ X1) @ X0)
% 0.19/1.03 | ~ (less_equal @ zero @
% 0.19/1.03 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 0.19/1.03 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)) = (zero)))),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl48])).
% 0.19/1.03 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.19/1.03 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.19/1.03 thf(zip_derived_cl73, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/1.03 (~ (less_equal @ (divide @ X2 @ X1) @ X0)
% 0.19/1.03 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)) = (zero)))),
% 0.19/1.03 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl4])).
% 0.19/1.03 thf(quotient_less_equal2, axiom,
% 0.19/1.03 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 0.19/1.03 thf(zip_derived_cl1, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i]:
% 0.19/1.03 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 0.19/1.03 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.19/1.03 thf(zip_derived_cl312, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/1.03 (~ (less_equal @ (divide @ X2 @ X1) @ X0)
% 0.19/1.03 | ((zero) != (zero))
% 0.19/1.03 | (less_equal @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl1])).
% 0.19/1.03 thf(zip_derived_cl356, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/1.03 ( (less_equal @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 0.19/1.03 | ~ (less_equal @ (divide @ X2 @ X1) @ X0))),
% 0.19/1.03 inference('simplify', [status(thm)], [zip_derived_cl312])).
% 0.19/1.03 thf(zip_derived_cl387, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i]:
% 0.19/1.03 ( (less_equal @ (divide @ X1 @ X0) @ zero)
% 0.19/1.03 | ~ (less_equal @ (divide @ X1 @ zero) @ X0))),
% 0.19/1.03 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl356])).
% 0.19/1.03 thf(zip_derived_cl398, plain,
% 0.19/1.03 (![X0 : $i]: (less_equal @ (divide @ X0 @ X0) @ zero)),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl387])).
% 0.19/1.03 thf(zip_derived_cl31, plain,
% 0.19/1.03 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.19/1.03 thf(zip_derived_cl547, plain, (![X0 : $i]: ((zero) = (divide @ X0 @ X0))),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl31])).
% 0.19/1.03 thf(zip_derived_cl1, plain,
% 0.19/1.03 (![X0 : $i, X1 : $i]:
% 0.19/1.03 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 0.19/1.03 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.19/1.03 thf(zip_derived_cl561, plain,
% 0.19/1.03 (![X0 : $i]: (((zero) != (zero)) | (less_equal @ X0 @ X0))),
% 0.19/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl547, zip_derived_cl1])).
% 0.19/1.03 thf(zip_derived_cl601, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 0.19/1.03 inference('simplify', [status(thm)], [zip_derived_cl561])).
% 0.19/1.03 thf(zip_derived_cl640, plain, ($false),
% 0.19/1.03 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl601])).
% 0.19/1.03
% 0.19/1.03 % SZS output end Refutation
% 0.19/1.03
% 0.19/1.03
% 0.19/1.03 % Terminating...
% 1.71/1.10 % Runner terminated.
% 1.71/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------