TSTP Solution File: HEN007-5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN007-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U0D3cD0aR4 true
% Computer : n015.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 Aug 31 01:57:48 EDT 2023
% Result : Unsatisfiable 1.36s 1.19s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN007-5 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U0D3cD0aR4 true
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 13:51:51 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.72/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.72/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.72/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.35/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.35/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/1.19 % Solved by fo/fo5.sh.
% 1.36/1.19 % done 443 iterations in 0.423s
% 1.36/1.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/1.19 % SZS output start Refutation
% 1.36/1.19 thf(a_type, type, a: $i).
% 1.36/1.19 thf(zero_type, type, zero: $i).
% 1.36/1.19 thf(divide_type, type, divide: $i > $i > $i).
% 1.36/1.19 thf(c_type, type, c: $i).
% 1.36/1.19 thf(b_type, type, b: $i).
% 1.36/1.19 thf(prove_property_of_divide2, conjecture,
% 1.36/1.19 (( divide @ ( divide @ c @ b ) @ ( divide @ c @ a ) ) = ( zero ))).
% 1.36/1.19 thf(zf_stmt_0, negated_conjecture,
% 1.36/1.19 (( divide @ ( divide @ c @ b ) @ ( divide @ c @ a ) ) != ( zero )),
% 1.36/1.19 inference('cnf.neg', [status(esa)], [prove_property_of_divide2])).
% 1.36/1.19 thf(zip_derived_cl7, plain,
% 1.36/1.19 (((divide @ (divide @ c @ b) @ (divide @ c @ a)) != (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/1.19 thf(quotient_smaller_than_numerator, axiom,
% 1.36/1.19 (( divide @ ( divide @ X @ Y ) @ X ) = ( zero ))).
% 1.36/1.19 thf(zip_derived_cl0, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.36/1.19 thf(a_divide_b_is_zero, axiom, (( divide @ a @ b ) = ( zero ))).
% 1.36/1.19 thf(zip_derived_cl6, plain, (((divide @ a @ b) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [a_divide_b_is_zero])).
% 1.36/1.19 thf(quotient_property, axiom,
% 1.36/1.19 (( divide @
% 1.36/1.19 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 1.36/1.19 ( divide @ ( divide @ X @ Y ) @ Z ) ) =
% 1.36/1.19 ( zero ))).
% 1.36/1.19 thf(zip_derived_cl1, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.19 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.36/1.19 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [quotient_property])).
% 1.36/1.19 thf(zip_derived_cl40, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 ((divide @ (divide @ (divide @ X0 @ b) @ zero) @
% 1.36/1.19 (divide @ (divide @ X0 @ a) @ b)) = (zero))),
% 1.36/1.19 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.36/1.19 thf(zip_derived_cl0, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.36/1.19 thf(zip_derived_cl0, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.36/1.19 thf(zip_derived_cl1, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.19 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.36/1.19 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [quotient_property])).
% 1.36/1.19 thf(zip_derived_cl28, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 ((divide @ (divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X0)) @ zero)
% 1.36/1.19 = (zero))),
% 1.36/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.36/1.19 thf(zip_derived_cl104, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 ((divide @ (divide @ (divide @ X0 @ X0) @ zero) @ zero) = (zero))),
% 1.36/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl28])).
% 1.36/1.19 thf(divide_and_equal, axiom,
% 1.36/1.19 (( ( divide @ X @ Y ) != ( zero ) ) | ( ( divide @ Y @ X ) != ( zero ) ) |
% 1.36/1.19 ( ( X ) = ( Y ) ))).
% 1.36/1.19 thf(zip_derived_cl3, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 (((divide @ X0 @ X1) != (zero))
% 1.36/1.19 | ((divide @ X1 @ X0) != (zero))
% 1.36/1.19 | ((X0) = (X1)))),
% 1.36/1.19 inference('cnf', [status(esa)], [divide_and_equal])).
% 1.36/1.19 thf(zip_derived_cl127, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ (divide @ X0 @ X0) @ zero) = (zero))
% 1.36/1.19 | ((divide @ zero @ (divide @ (divide @ X0 @ X0) @ zero)) != (zero)))),
% 1.36/1.19 inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl3])).
% 1.36/1.19 thf(zero_is_smallest, axiom, (( divide @ zero @ X ) = ( zero ))).
% 1.36/1.19 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.36/1.19 thf(zip_derived_cl142, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ (divide @ X0 @ X0) @ zero) = (zero))
% 1.36/1.19 | ((zero) != (zero)))),
% 1.36/1.19 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl2])).
% 1.36/1.19 thf(zip_derived_cl143, plain,
% 1.36/1.19 (![X0 : $i]: ((divide @ (divide @ X0 @ X0) @ zero) = (zero))),
% 1.36/1.19 inference('simplify', [status(thm)], [zip_derived_cl142])).
% 1.36/1.19 thf(zip_derived_cl3, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 (((divide @ X0 @ X1) != (zero))
% 1.36/1.19 | ((divide @ X1 @ X0) != (zero))
% 1.36/1.19 | ((X0) = (X1)))),
% 1.36/1.19 inference('cnf', [status(esa)], [divide_and_equal])).
% 1.36/1.19 thf(zip_derived_cl297, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ X0 @ X0) = (zero))
% 1.36/1.19 | ((divide @ zero @ (divide @ X0 @ X0)) != (zero)))),
% 1.36/1.19 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl3])).
% 1.36/1.19 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.36/1.19 thf(zip_derived_cl316, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ X0 @ X0) = (zero))
% 1.36/1.19 | ((zero) != (zero)))),
% 1.36/1.19 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl2])).
% 1.36/1.19 thf(zip_derived_cl317, plain, (![X0 : $i]: ((divide @ X0 @ X0) = (zero))),
% 1.36/1.19 inference('simplify', [status(thm)], [zip_derived_cl316])).
% 1.36/1.19 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.36/1.19 thf(zip_derived_cl1, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.19 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.36/1.19 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [quotient_property])).
% 1.36/1.19 thf(zip_derived_cl39, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 ((divide @ (divide @ (divide @ X1 @ X0) @ zero) @
% 1.36/1.19 (divide @ (divide @ X1 @ zero) @ X0)) = (zero))),
% 1.36/1.19 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.36/1.19 thf(zip_derived_cl1041, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 ((divide @ (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) @
% 1.36/1.19 zero) = (zero))),
% 1.36/1.19 inference('sup+', [status(thm)], [zip_derived_cl317, zip_derived_cl39])).
% 1.36/1.19 thf(zip_derived_cl3, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 (((divide @ X0 @ X1) != (zero))
% 1.36/1.19 | ((divide @ X1 @ X0) != (zero))
% 1.36/1.19 | ((X0) = (X1)))),
% 1.36/1.19 inference('cnf', [status(esa)], [divide_and_equal])).
% 1.36/1.19 thf(zip_derived_cl2703, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) = (zero))
% 1.36/1.19 | ((divide @ zero @
% 1.36/1.19 (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero)) != (
% 1.36/1.19 zero)))),
% 1.36/1.19 inference('sup-', [status(thm)], [zip_derived_cl1041, zip_derived_cl3])).
% 1.36/1.19 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.36/1.19 thf(zip_derived_cl2772, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) = (zero))
% 1.36/1.19 | ((zero) != (zero)))),
% 1.36/1.19 inference('demod', [status(thm)], [zip_derived_cl2703, zip_derived_cl2])).
% 1.36/1.19 thf(zip_derived_cl2773, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 ((divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) = (zero))),
% 1.36/1.19 inference('simplify', [status(thm)], [zip_derived_cl2772])).
% 1.36/1.19 thf(zip_derived_cl3, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 (((divide @ X0 @ X1) != (zero))
% 1.36/1.19 | ((divide @ X1 @ X0) != (zero))
% 1.36/1.19 | ((X0) = (X1)))),
% 1.36/1.19 inference('cnf', [status(esa)], [divide_and_equal])).
% 1.36/1.19 thf(zip_derived_cl2826, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ X0 @ (divide @ X0 @ zero)) = (zero))
% 1.36/1.19 | ((divide @ zero @ (divide @ X0 @ (divide @ X0 @ zero))) != (zero)))),
% 1.36/1.19 inference('sup-', [status(thm)], [zip_derived_cl2773, zip_derived_cl3])).
% 1.36/1.19 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.36/1.19 thf(zip_derived_cl2897, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ X0 @ (divide @ X0 @ zero)) = (zero))
% 1.36/1.19 | ((zero) != (zero)))),
% 1.36/1.19 inference('demod', [status(thm)], [zip_derived_cl2826, zip_derived_cl2])).
% 1.36/1.19 thf(zip_derived_cl2898, plain,
% 1.36/1.19 (![X0 : $i]: ((divide @ X0 @ (divide @ X0 @ zero)) = (zero))),
% 1.36/1.19 inference('simplify', [status(thm)], [zip_derived_cl2897])).
% 1.36/1.19 thf(zip_derived_cl3, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 (((divide @ X0 @ X1) != (zero))
% 1.36/1.19 | ((divide @ X1 @ X0) != (zero))
% 1.36/1.19 | ((X0) = (X1)))),
% 1.36/1.19 inference('cnf', [status(esa)], [divide_and_equal])).
% 1.36/1.19 thf(zip_derived_cl2951, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((X0) = (divide @ X0 @ zero))
% 1.36/1.19 | ((divide @ (divide @ X0 @ zero) @ X0) != (zero)))),
% 1.36/1.19 inference('sup-', [status(thm)], [zip_derived_cl2898, zip_derived_cl3])).
% 1.36/1.19 thf(zip_derived_cl0, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.36/1.19 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.36/1.19 thf(zip_derived_cl3038, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((X0) = (divide @ X0 @ zero))
% 1.36/1.19 | ((zero) != (zero)))),
% 1.36/1.19 inference('demod', [status(thm)], [zip_derived_cl2951, zip_derived_cl0])).
% 1.36/1.19 thf(zip_derived_cl3039, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 1.36/1.19 inference('simplify', [status(thm)], [zip_derived_cl3038])).
% 1.36/1.19 thf(zip_derived_cl3110, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 ((divide @ (divide @ X0 @ b) @ (divide @ (divide @ X0 @ a) @ b))
% 1.36/1.19 = (zero))),
% 1.36/1.19 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl3039])).
% 1.36/1.19 thf(transitivity_of_divide_to_zero, axiom,
% 1.36/1.19 (( ( divide @ X @ Y ) != ( zero ) ) | ( ( divide @ Y @ Z ) != ( zero ) ) |
% 1.36/1.19 ( ( divide @ X @ Z ) = ( zero ) ))).
% 1.36/1.19 thf(zip_derived_cl5, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.19 (((divide @ X0 @ X1) != (zero))
% 1.36/1.19 | ((divide @ X1 @ X2) != (zero))
% 1.36/1.19 | ((divide @ X0 @ X2) = (zero)))),
% 1.36/1.19 inference('cnf', [status(esa)], [transitivity_of_divide_to_zero])).
% 1.36/1.19 thf(zip_derived_cl4138, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ (divide @ X0 @ b) @ X1) = (zero))
% 1.36/1.19 | ((divide @ (divide @ (divide @ X0 @ a) @ b) @ X1) != (zero)))),
% 1.36/1.19 inference('sup-', [status(thm)], [zip_derived_cl3110, zip_derived_cl5])).
% 1.36/1.19 thf(zip_derived_cl4228, plain,
% 1.36/1.19 (![X0 : $i, X1 : $i]:
% 1.36/1.19 (((divide @ (divide @ (divide @ X0 @ a) @ b) @ X1) != (zero))
% 1.36/1.19 | ((divide @ (divide @ X0 @ b) @ X1) = (zero)))),
% 1.36/1.19 inference('simplify', [status(thm)], [zip_derived_cl4138])).
% 1.36/1.19 thf(zip_derived_cl4544, plain,
% 1.36/1.19 (![X0 : $i]:
% 1.36/1.19 (((zero) != (zero))
% 1.36/1.19 | ((divide @ (divide @ X0 @ b) @ (divide @ X0 @ a)) = (zero)))),
% 1.36/1.19 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4228])).
% 1.36/1.19 thf(zip_derived_cl4567, plain,
% 1.36/1.19 (![X0 : $i]: ((divide @ (divide @ X0 @ b) @ (divide @ X0 @ a)) = (zero))),
% 1.36/1.19 inference('simplify', [status(thm)], [zip_derived_cl4544])).
% 1.36/1.19 thf(zip_derived_cl4626, plain, (((zero) != (zero))),
% 1.36/1.19 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4567])).
% 1.36/1.19 thf(zip_derived_cl4627, plain, ($false),
% 1.36/1.19 inference('simplify', [status(thm)], [zip_derived_cl4626])).
% 1.36/1.19
% 1.36/1.19 % SZS output end Refutation
% 1.36/1.19
% 1.36/1.19
% 1.36/1.19 % Terminating...
% 1.36/1.24 % Runner terminated.
% 1.92/1.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------