%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN008-5 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t8Hdo9Cbuy true
% Computer : n018.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 0.34s 0.85s
% Output : Refutation 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.23 % Problem : HEN008-5 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.24 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t8Hdo9Cbuy true
% 0.14/0.46 % Computer : n018.cluster.edu
% 0.14/0.46 % Model : x86_64 x86_64
% 0.14/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.46 % Memory : 8042.1875MB
% 0.14/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.46 % CPULimit : 300
% 0.14/0.46 % WCLimit : 300
% 0.14/0.46 % DateTime : Wed Oct 1 16:54:23 EDT 2025
% 0.14/0.46 % CPUTime :
% 0.14/0.46 % Running portfolio for 300 s
% 0.14/0.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.46 % Number of cores: 8
% 0.14/0.47 % Python version: Python 3.6.8
% 0.14/0.47 % Running in FO mode
% 0.32/0.76 % Total configuration time : 435
% 0.32/0.76 % Estimated wc time : 1092
% 0.32/0.76 % Estimated cpu time (7 cpus) : 156.0
% 0.34/0.82 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.34/0.83 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.34/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.34/0.85 % Solved by fo/fo6_bce.sh.
% 0.34/0.85 % BCE start: 7
% 0.34/0.85 % BCE eliminated: 0
% 0.34/0.85 % PE start: 7
% 0.34/0.85 logic: eq
% 0.34/0.85 % PE eliminated: 0
% 0.34/0.85 % done 18 iterations in 0.013s
% 0.34/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.34/0.85 % SZS output start Refutation
% 0.34/0.85 thf(b_type, type, b: $i).
% 0.34/0.85 thf(zero_type, type, zero: $i).
% 0.34/0.85 thf(divide_type, type, divide: $i > $i > $i).
% 0.34/0.85 thf(a_type, type, a: $i).
% 0.34/0.85 thf(c_type, type, c: $i).
% 0.34/0.85 thf(prove_property_of_divide3, conjecture,
% 0.34/0.85 (( divide @ ( divide @ a @ c ) @ ( divide @ b @ c ) ) = ( zero ))).
% 0.34/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.34/0.85 (( divide @ ( divide @ a @ c ) @ ( divide @ b @ c ) ) != ( zero )),
% 0.34/0.85 inference('cnf.neg', [status(esa)], [prove_property_of_divide3])).
% 0.34/0.85 thf(zip_derived_cl6, plain,
% 0.34/0.85 (((divide @ (divide @ a @ c) @ (divide @ b @ c)) != (zero))),
% 0.34/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.34/0.85 thf(a_divide_b_is_zero, axiom, (( divide @ a @ b ) = ( zero ))).
% 0.34/0.85 thf(zip_derived_cl5, plain, (((divide @ a @ b) = (zero))),
% 0.34/0.85 inference('cnf', [status(esa)], [a_divide_b_is_zero])).
% 0.34/0.85 thf(quotient_property, axiom,
% 0.34/0.85 (( divide @
% 0.34/0.85 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 0.34/0.85 ( divide @ ( divide @ X @ Y ) @ Z ) ) =
% 0.34/0.85 ( zero ))).
% 0.34/0.85 thf(zip_derived_cl1, plain,
% 0.34/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/0.85 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.34/0.85 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 0.34/0.85 inference('cnf', [status(esa)], [quotient_property])).
% 0.34/0.85 thf(zip_derived_cl24, plain,
% 0.34/0.85 (![X0 : $i]:
% 0.34/0.85 ((divide @ (divide @ (divide @ a @ X0) @ (divide @ b @ X0)) @
% 0.34/0.85 (divide @ zero @ X0)) = (zero))),
% 0.34/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 0.34/0.85 thf(zero_is_smallest, axiom, (( divide @ zero @ X ) = ( zero ))).
% 0.34/0.85 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.34/0.85 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.34/0.85 thf(zip_derived_cl41, plain,
% 0.34/0.85 (![X0 : $i]:
% 0.34/0.85 ((divide @ (divide @ (divide @ a @ X0) @ (divide @ b @ X0)) @ zero)
% 0.34/0.85 = (zero))),
% 0.34/0.85 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 0.34/0.85 thf(divide_and_equal, axiom,
% 0.34/0.85 (( ( divide @ X @ Y ) != ( zero ) ) | ( ( divide @ Y @ X ) != ( zero ) ) |
% 0.34/0.85 ( ( X ) = ( Y ) ))).
% 0.34/0.85 thf(zip_derived_cl3, plain,
% 0.34/0.85 (![X0 : $i, X1 : $i]:
% 0.34/0.85 (((divide @ X0 @ X1) != (zero))
% 0.34/0.85 | ((divide @ X1 @ X0) != (zero))
% 0.34/0.85 | ((X0) = (X1)))),
% 0.34/0.85 inference('cnf', [status(esa)], [divide_and_equal])).
% 0.34/0.85 thf(zip_derived_cl69, plain,
% 0.34/0.85 (![X0 : $i]:
% 0.34/0.85 (((zero) != (zero))
% 0.34/0.85 | ((divide @ zero @ (divide @ (divide @ a @ X0) @ (divide @ b @ X0)))
% 0.34/0.85 != (zero))
% 0.34/0.85 | ((divide @ (divide @ a @ X0) @ (divide @ b @ X0)) = (zero)))),
% 0.34/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl3])).
% 0.34/0.85 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.34/0.85 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.34/0.85 thf(zip_derived_cl81, plain,
% 0.34/0.85 (![X0 : $i]:
% 0.34/0.85 (((zero) != (zero))
% 0.34/0.85 | ((zero) != (zero))
% 0.34/0.85 | ((divide @ (divide @ a @ X0) @ (divide @ b @ X0)) = (zero)))),
% 0.34/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl2])).
% 0.34/0.85 thf(zip_derived_cl82, plain,
% 0.34/0.85 (![X0 : $i]: ((divide @ (divide @ a @ X0) @ (divide @ b @ X0)) = (zero))),
% 0.34/0.85 inference('simplify', [status(thm)], [zip_derived_cl81])).
% 0.34/0.85 thf(zip_derived_cl85, plain, (((zero) != (zero))),
% 0.34/0.85 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl82])).
% 0.34/0.85 thf(zip_derived_cl86, plain, ($false),
% 0.34/0.85 inference('simplify', [status(thm)], [zip_derived_cl85])).
% 0.34/0.85
% 0.34/0.85 % SZS output end Refutation
% 0.34/0.85
% 0.34/0.85
% 0.34/0.85 % Terminating...
% 0.36/0.96 % Runner terminated.
% 0.36/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------