%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN005-5 : 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.gw2kKCEI5j true
% Computer : n031.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 04:37:21 PM UTC 2025
% Result : Unsatisfiable 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HEN005-5 : TPTP v9.2.0. Released v1.0.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gw2kKCEI5j true
% 0.14/0.37 % Computer : n031.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 16:54:38 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.56/0.70 % Total configuration time : 435
% 0.56/0.70 % Estimated wc time : 1092
% 0.56/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.81 % Solved by fo/fo3_bce.sh.
% 0.60/0.81 % BCE start: 8
% 0.60/0.81 % BCE eliminated: 0
% 0.60/0.81 % PE start: 8
% 0.60/0.81 logic: eq
% 0.60/0.81 % PE eliminated: 0
% 0.60/0.81 % done 37 iterations in 0.019s
% 0.60/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.81 % SZS output start Refutation
% 0.60/0.81 thf(b_type, type, b: $i).
% 0.60/0.81 thf(zero_type, type, zero: $i).
% 0.60/0.81 thf(divide_type, type, divide: $i > $i > $i).
% 0.60/0.81 thf(a_type, type, a: $i).
% 0.60/0.81 thf(c_type, type, c: $i).
% 0.60/0.81 thf(b_divide_c_is_zero, axiom, (( divide @ b @ c ) = ( zero ))).
% 0.60/0.81 thf(zip_derived_cl6, plain, (((divide @ b @ c) = (zero))),
% 0.60/0.81 inference('cnf', [status(esa)], [b_divide_c_is_zero])).
% 0.60/0.81 thf(a_divide_b_is_zero, axiom, (( divide @ a @ b ) = ( zero ))).
% 0.60/0.81 thf(zip_derived_cl5, plain, (((divide @ a @ b) = (zero))),
% 0.60/0.81 inference('cnf', [status(esa)], [a_divide_b_is_zero])).
% 0.60/0.81 thf(quotient_property, axiom,
% 0.60/0.81 (( divide @
% 0.60/0.81 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 0.60/0.81 ( divide @ ( divide @ X @ Y ) @ Z ) ) =
% 0.60/0.81 ( zero ))).
% 0.60/0.81 thf(zip_derived_cl1, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.60/0.81 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 0.60/0.81 inference('cnf', [status(esa)], [quotient_property])).
% 0.60/0.81 thf(zip_derived_cl37, plain,
% 0.60/0.81 (![X0 : $i]:
% 0.60/0.81 ((divide @ (divide @ (divide @ a @ X0) @ (divide @ b @ X0)) @
% 0.60/0.81 (divide @ zero @ X0)) = (zero))),
% 0.60/0.81 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 0.60/0.81 thf(zero_is_smallest, axiom, (( divide @ zero @ X ) = ( zero ))).
% 0.60/0.81 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.60/0.81 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.60/0.81 thf(zip_derived_cl57, plain,
% 0.60/0.81 (![X0 : $i]:
% 0.60/0.81 ((divide @ (divide @ (divide @ a @ X0) @ (divide @ b @ X0)) @ zero)
% 0.60/0.81 = (zero))),
% 0.60/0.81 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl2])).
% 0.60/0.81 thf(zip_derived_cl123, plain,
% 0.60/0.81 (((divide @ (divide @ (divide @ a @ c) @ zero) @ zero) = (zero))),
% 0.60/0.81 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl57])).
% 0.60/0.81 thf(divide_and_equal, axiom,
% 0.60/0.81 (( ( divide @ X @ Y ) != ( zero ) ) | ( ( divide @ Y @ X ) != ( zero ) ) |
% 0.60/0.81 ( ( X ) = ( Y ) ))).
% 0.60/0.81 thf(zip_derived_cl3, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i]:
% 0.60/0.81 (((divide @ X0 @ X1) != (zero))
% 0.60/0.81 | ((divide @ X1 @ X0) != (zero))
% 0.60/0.81 | ((X0) = (X1)))),
% 0.60/0.81 inference('cnf', [status(esa)], [divide_and_equal])).
% 0.60/0.81 thf(zip_derived_cl145, plain,
% 0.60/0.81 ((((zero) != (zero))
% 0.60/0.81 | ((divide @ (divide @ a @ c) @ zero) = (zero))
% 0.60/0.81 | ((divide @ zero @ (divide @ (divide @ a @ c) @ zero)) != (zero)))),
% 0.60/0.81 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl3])).
% 0.60/0.81 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.60/0.81 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.60/0.81 thf(zip_derived_cl153, plain,
% 0.60/0.81 ((((zero) != (zero))
% 0.60/0.81 | ((divide @ (divide @ a @ c) @ zero) = (zero))
% 0.60/0.81 | ((zero) != (zero)))),
% 0.60/0.81 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl2])).
% 0.60/0.81 thf(zip_derived_cl154, plain,
% 0.60/0.81 (((divide @ (divide @ a @ c) @ zero) = (zero))),
% 0.60/0.81 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 0.60/0.81 thf(zip_derived_cl3, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i]:
% 0.60/0.81 (((divide @ X0 @ X1) != (zero))
% 0.60/0.81 | ((divide @ X1 @ X0) != (zero))
% 0.60/0.81 | ((X0) = (X1)))),
% 0.60/0.81 inference('cnf', [status(esa)], [divide_and_equal])).
% 0.60/0.81 thf(zip_derived_cl164, plain,
% 0.60/0.81 ((((zero) != (zero))
% 0.60/0.81 | ((divide @ a @ c) = (zero))
% 0.60/0.81 | ((divide @ zero @ (divide @ a @ c)) != (zero)))),
% 0.60/0.81 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl3])).
% 0.60/0.81 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.60/0.81 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.60/0.81 thf(zip_derived_cl172, plain,
% 0.60/0.81 ((((zero) != (zero)) | ((divide @ a @ c) = (zero)) | ((zero) != (zero)))),
% 0.60/0.81 inference('demod', [status(thm)], [zip_derived_cl164, zip_derived_cl2])).
% 0.60/0.81 thf(zip_derived_cl173, plain, (((divide @ a @ c) = (zero))),
% 0.60/0.81 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.60/0.81 thf(prove_transitivity_of_divide_to_zero, conjecture,
% 0.60/0.81 (( divide @ a @ c ) = ( zero ))).
% 0.60/0.81 thf(zf_stmt_0, negated_conjecture, (( divide @ a @ c ) != ( zero )),
% 0.60/0.81 inference('cnf.neg', [status(esa)], [prove_transitivity_of_divide_to_zero])).
% 0.60/0.81 thf(zip_derived_cl7, plain, (((divide @ a @ c) != (zero))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.81 thf(zip_derived_cl174, plain, ($false),
% 0.60/0.81 inference('simplify_reflect-', [status(thm)],
% 0.60/0.81 [zip_derived_cl173, zip_derived_cl7])).
% 0.60/0.81
% 0.60/0.81 % SZS output end Refutation
% 0.60/0.81
% 0.60/0.81
% 0.60/0.81 % Terminating...
% 0.67/0.92 % Runner terminated.
% 1.85/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------