%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN006-5 : 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.gRv6KY2Cpj true
% Computer : n025.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 0.93s 2.72s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.78 % Problem : HEN006-5 : TPTP v9.2.0. Released v1.0.0.
% 0.08/0.84 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gRv6KY2Cpj true
% 0.10/1.24 % Computer : n025.cluster.edu
% 0.10/1.24 % Model : x86_64 x86_64
% 0.10/1.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/1.24 % Memory : 8042.1875MB
% 0.10/1.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/1.24 % CPULimit : 300
% 0.10/1.24 % WCLimit : 300
% 0.10/1.24 % DateTime : Wed Oct 1 16:54:54 EDT 2025
% 0.11/1.27 % CPUTime :
% 0.11/1.27 % Running portfolio for 300 s
% 0.11/1.27 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/1.28 % Number of cores: 8
% 0.11/1.30 % Python version: Python 3.6.8
% 0.11/1.32 % Running in FO mode
% 0.32/2.02 % Total configuration time : 435
% 0.32/2.02 % Estimated wc time : 1092
% 0.32/2.02 % Estimated cpu time (7 cpus) : 156.0
% 0.80/2.29 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.83/2.42 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/2.46 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.83/2.50 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.83/2.50 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/2.52 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.83/2.54 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.93/2.72 % Solved by fo/fo6_bce.sh.
% 0.93/2.72 % BCE start: 8
% 0.93/2.72 % BCE eliminated: 0
% 0.93/2.72 % PE start: 8
% 0.93/2.72 logic: eq
% 0.93/2.72 % PE eliminated: 0
% 0.93/2.72 % done 57 iterations in 0.292s
% 0.93/2.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.93/2.72 % SZS output start Refutation
% 0.93/2.72 thf(a_type, type, a: $i).
% 0.93/2.72 thf(d_type, type, d: $i).
% 0.93/2.72 thf(zero_type, type, zero: $i).
% 0.93/2.72 thf(divide_type, type, divide: $i > $i > $i).
% 0.93/2.72 thf(b_type, type, b: $i).
% 0.93/2.72 thf(a_divide_b_divide_d_is_zero, axiom,
% 0.93/2.72 (( divide @ ( divide @ a @ b ) @ d ) = ( zero ))).
% 0.93/2.72 thf(zip_derived_cl6, plain, (((divide @ (divide @ a @ b) @ d) = (zero))),
% 0.93/2.72 inference('cnf', [status(esa)], [a_divide_b_divide_d_is_zero])).
% 0.93/2.72 thf(quotient_property, axiom,
% 0.93/2.72 (( divide @
% 0.93/2.72 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 0.93/2.72 ( divide @ ( divide @ X @ Y ) @ Z ) ) =
% 0.93/2.72 ( zero ))).
% 0.93/2.72 thf(zip_derived_cl1, plain,
% 0.93/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/2.72 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.93/2.72 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 0.93/2.72 inference('cnf', [status(esa)], [quotient_property])).
% 0.93/2.72 thf(zip_derived_cl23, plain,
% 0.93/2.72 (((divide @ (divide @ (divide @ a @ d) @ (divide @ b @ d)) @ zero)
% 0.93/2.72 = (zero))),
% 0.93/2.72 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.93/2.72 thf(x_divide_zero_is_x, axiom, (( divide @ X @ zero ) = ( X ))).
% 0.93/2.72 thf(zip_derived_cl5, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 0.93/2.72 inference('cnf', [status(esa)], [x_divide_zero_is_x])).
% 0.93/2.72 thf(zip_derived_cl83, plain,
% 0.93/2.72 (((zero) = (divide @ (divide @ a @ d) @ (divide @ b @ d)))),
% 0.93/2.72 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl5])).
% 0.93/2.72 thf(quotient_smaller_than_numerator, axiom,
% 0.93/2.72 (( divide @ ( divide @ X @ Y ) @ X ) = ( zero ))).
% 0.93/2.72 thf(zip_derived_cl0, plain,
% 0.93/2.72 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 0.93/2.72 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 0.93/2.72 thf(zip_derived_cl1, plain,
% 0.93/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/2.72 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.93/2.72 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 0.93/2.72 inference('cnf', [status(esa)], [quotient_property])).
% 0.93/2.72 thf(zip_derived_cl31, plain,
% 0.93/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/2.72 ((divide @ (divide @ (divide @ X2 @ X0) @ zero) @
% 0.93/2.72 (divide @ (divide @ X2 @ (divide @ X0 @ X1)) @ X0)) = (zero))),
% 0.93/2.72 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.93/2.72 thf(zip_derived_cl5, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 0.93/2.72 inference('cnf', [status(esa)], [x_divide_zero_is_x])).
% 0.93/2.72 thf(zip_derived_cl48, plain,
% 0.93/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/2.72 ((divide @ (divide @ X2 @ X0) @
% 0.93/2.72 (divide @ (divide @ X2 @ (divide @ X0 @ X1)) @ X0)) = (zero))),
% 0.93/2.72 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl5])).
% 0.93/2.72 thf(zip_derived_cl745, plain,
% 0.93/2.72 (((divide @ (divide @ (divide @ a @ d) @ b) @ (divide @ zero @ b))
% 0.93/2.72 = (zero))),
% 0.93/2.72 inference('s_sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl48])).
% 0.93/2.72 thf(zero_is_smallest, axiom, (( divide @ zero @ X ) = ( zero ))).
% 0.93/2.72 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.93/2.72 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.93/2.72 thf(zip_derived_cl5, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 0.93/2.72 inference('cnf', [status(esa)], [x_divide_zero_is_x])).
% 0.93/2.72 thf(zip_derived_cl792, plain, (((divide @ (divide @ a @ d) @ b) = (zero))),
% 0.93/2.72 inference('demod', [status(thm)],
% 0.93/2.72 [zip_derived_cl745, zip_derived_cl2, zip_derived_cl5])).
% 0.93/2.72 thf(prove_property_of_divide1, conjecture,
% 0.93/2.72 (( divide @ ( divide @ a @ d ) @ b ) = ( zero ))).
% 0.93/2.72 thf(zf_stmt_0, negated_conjecture,
% 0.93/2.72 (( divide @ ( divide @ a @ d ) @ b ) != ( zero )),
% 0.93/2.72 inference('cnf.neg', [status(esa)], [prove_property_of_divide1])).
% 0.93/2.72 thf(zip_derived_cl7, plain, (((divide @ (divide @ a @ d) @ b) != (zero))),
% 0.93/2.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.93/2.72 thf(zip_derived_cl793, plain, ($false),
% 0.93/2.72 inference('simplify_reflect-', [status(thm)],
% 0.93/2.72 [zip_derived_cl792, zip_derived_cl7])).
% 0.93/2.72
% 0.93/2.72 % SZS output end Refutation
% 0.93/2.72
% 0.93/2.72
% 0.93/2.72 % Terminating...
% 1.28/2.91 % Runner terminated.
% 1.28/2.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------