TSTP Solution File: HEN007-4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN007-4 : 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.aBnTGHkavp true
% Computer : n032.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 0.16s 0.70s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aBnTGHkavp true
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 24 13:24:41 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.16/0.53 % Total configuration time : 435
% 0.16/0.53 % Estimated wc time : 1092
% 0.16/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.59 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.70 % Solved by fo/fo5.sh.
% 0.16/0.70 % done 237 iterations in 0.092s
% 0.16/0.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.70 % SZS output start Refutation
% 0.16/0.70 thf(zero_type, type, zero: $i).
% 0.16/0.70 thf(c_type, type, c: $i).
% 0.16/0.70 thf(divide_type, type, divide: $i > $i > $i).
% 0.16/0.70 thf(a_type, type, a: $i).
% 0.16/0.70 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.16/0.70 thf(b_type, type, b: $i).
% 0.16/0.70 thf(prove_c_divide_b_LE_c_divide_a, conjecture,
% 0.16/0.70 (less_equal @ ( divide @ c @ b ) @ ( divide @ c @ a ))).
% 0.16/0.70 thf(zf_stmt_0, negated_conjecture,
% 0.16/0.70 (~( less_equal @ ( divide @ c @ b ) @ ( divide @ c @ a ) )),
% 0.16/0.70 inference('cnf.neg', [status(esa)], [prove_c_divide_b_LE_c_divide_a])).
% 0.16/0.70 thf(zip_derived_cl14, plain,
% 0.16/0.70 (~ (less_equal @ (divide @ c @ b) @ (divide @ c @ a))),
% 0.16/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.16/0.70 thf(quotient_smaller_than_numerator, axiom,
% 0.16/0.70 (less_equal @ ( divide @ X @ Y ) @ X)).
% 0.16/0.70 thf(zip_derived_cl2, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 0.16/0.70 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 0.16/0.70 thf(a_LE_b, axiom, (less_equal @ a @ b)).
% 0.16/0.70 thf(zip_derived_cl13, plain, ( (less_equal @ a @ b)),
% 0.16/0.70 inference('cnf', [status(esa)], [a_LE_b])).
% 0.16/0.70 thf(quotient_less_equal1, axiom,
% 0.16/0.70 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 0.16/0.70 thf(zip_derived_cl0, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]:
% 0.16/0.70 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 0.16/0.70 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 0.16/0.70 thf(zip_derived_cl22, plain, (((divide @ a @ b) = (zero))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 0.16/0.70 thf(quotient_property, axiom,
% 0.16/0.70 (less_equal @
% 0.16/0.70 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 0.16/0.70 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 0.16/0.70 thf(zip_derived_cl3, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.70 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 0.16/0.70 (divide @ (divide @ X0 @ X2) @ X1))),
% 0.16/0.70 inference('cnf', [status(esa)], [quotient_property])).
% 0.16/0.70 thf(zip_derived_cl78, plain,
% 0.16/0.70 (![X0 : $i]:
% 0.16/0.70 (less_equal @ (divide @ (divide @ X0 @ b) @ zero) @
% 0.16/0.70 (divide @ (divide @ X0 @ a) @ b))),
% 0.16/0.70 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 0.16/0.70 thf(x_divide_x_is_zero, axiom, (( divide @ X @ X ) = ( zero ))).
% 0.16/0.70 thf(zip_derived_cl9, plain, (![X0 : $i]: ((divide @ X0 @ X0) = (zero))),
% 0.16/0.70 inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 0.16/0.70 thf(quotient_less_equal2, axiom,
% 0.16/0.70 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 0.16/0.70 thf(zip_derived_cl1, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]:
% 0.16/0.70 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 0.16/0.70 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.16/0.70 thf(zip_derived_cl25, plain,
% 0.16/0.70 (![X0 : $i]: (((zero) != (zero)) | (less_equal @ X0 @ X0))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 0.16/0.70 thf(zip_derived_cl30, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 0.16/0.70 inference('simplify', [status(thm)], [zip_derived_cl25])).
% 0.16/0.70 thf(property_of_divide1, axiom,
% 0.16/0.70 (( ~( less_equal @ ( divide @ X @ Y ) @ Z ) ) |
% 0.16/0.70 ( less_equal @ ( divide @ X @ Z ) @ Y ))).
% 0.16/0.70 thf(zip_derived_cl12, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.70 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 0.16/0.70 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 0.16/0.70 inference('cnf', [status(esa)], [property_of_divide1])).
% 0.16/0.70 thf(zip_derived_cl99, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]:
% 0.16/0.70 (less_equal @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0)),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl12])).
% 0.16/0.70 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.16/0.70 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.16/0.70 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.16/0.70 thf(less_equal_and_equal, axiom,
% 0.16/0.70 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.16/0.70 ( ( X ) = ( Y ) ))).
% 0.16/0.70 thf(zip_derived_cl5, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]:
% 0.16/0.70 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.16/0.70 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.16/0.70 thf(zip_derived_cl36, plain,
% 0.16/0.70 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.16/0.70 thf(zip_derived_cl297, plain,
% 0.16/0.70 (![X0 : $i]: ((zero) = (divide @ X0 @ (divide @ X0 @ zero)))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl36])).
% 0.16/0.70 thf(zip_derived_cl1, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]:
% 0.16/0.70 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 0.16/0.70 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.16/0.70 thf(zip_derived_cl395, plain,
% 0.16/0.70 (![X0 : $i]:
% 0.16/0.70 (((zero) != (zero)) | (less_equal @ X0 @ (divide @ X0 @ zero)))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl1])).
% 0.16/0.70 thf(zip_derived_cl429, plain,
% 0.16/0.70 (![X0 : $i]: (less_equal @ X0 @ (divide @ X0 @ zero))),
% 0.16/0.70 inference('simplify', [status(thm)], [zip_derived_cl395])).
% 0.16/0.70 thf(zip_derived_cl2, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 0.16/0.70 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 0.16/0.70 thf(zip_derived_cl5, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]:
% 0.16/0.70 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.16/0.70 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.16/0.70 thf(zip_derived_cl35, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]:
% 0.16/0.70 (((divide @ X0 @ X1) = (X0))
% 0.16/0.70 | ~ (less_equal @ X0 @ (divide @ X0 @ X1)))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 0.16/0.70 thf(zip_derived_cl486, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl429, zip_derived_cl35])).
% 0.16/0.70 thf(zip_derived_cl1063, plain,
% 0.16/0.70 (![X0 : $i]:
% 0.16/0.70 (less_equal @ (divide @ X0 @ b) @ (divide @ (divide @ X0 @ a) @ b))),
% 0.16/0.70 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl486])).
% 0.16/0.70 thf(transitivity_of_less_equal, axiom,
% 0.16/0.70 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ Z ) ) |
% 0.16/0.70 ( less_equal @ X @ Z ))).
% 0.16/0.70 thf(zip_derived_cl11, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.70 (~ (less_equal @ X0 @ X1)
% 0.16/0.70 | ~ (less_equal @ X1 @ X2)
% 0.16/0.70 | (less_equal @ X0 @ X2))),
% 0.16/0.70 inference('cnf', [status(esa)], [transitivity_of_less_equal])).
% 0.16/0.70 thf(zip_derived_cl1066, plain,
% 0.16/0.70 (![X0 : $i, X1 : $i]:
% 0.16/0.70 ( (less_equal @ (divide @ X0 @ b) @ X1)
% 0.16/0.70 | ~ (less_equal @ (divide @ (divide @ X0 @ a) @ b) @ X1))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl1063, zip_derived_cl11])).
% 0.16/0.70 thf(zip_derived_cl1215, plain,
% 0.16/0.70 (![X0 : $i]: (less_equal @ (divide @ X0 @ b) @ (divide @ X0 @ a))),
% 0.16/0.70 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1066])).
% 0.16/0.70 thf(zip_derived_cl1235, plain, ($false),
% 0.16/0.70 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl1215])).
% 0.16/0.70
% 0.16/0.70 % SZS output end Refutation
% 0.16/0.70
% 0.16/0.70
% 0.16/0.70 % Terminating...
% 1.88/0.78 % Runner terminated.
% 1.88/0.79 % Zipperpin 1.5 exiting
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