TSTP Solution File: HEN006-7 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN006-7 : 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.DthFwBhj0B true
% Computer : n019.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 01:57:47 EDT 2023
% Result : Unsatisfiable 0.59s 1.33s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HEN006-7 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DthFwBhj0B true
% 0.15/0.37 % Computer : n019.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 24 13:26:58 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.24/0.65 % Total configuration time : 435
% 0.24/0.65 % Estimated wc time : 1092
% 0.24/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/1.33 % Solved by fo/fo13.sh.
% 0.59/1.33 % done 964 iterations in 0.520s
% 0.59/1.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/1.33 % SZS output start Refutation
% 0.59/1.33 thf(divide_type, type, divide: $i > $i > $i).
% 0.59/1.33 thf(y_type, type, y: $i).
% 0.59/1.33 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.59/1.33 thf(xQz_type, type, xQz: $i).
% 0.59/1.33 thf(xQy_type, type, xQy: $i).
% 0.59/1.33 thf(x_type, type, x: $i).
% 0.59/1.33 thf(z_type, type, z: $i).
% 0.59/1.33 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 0.59/1.33 thf(zero_type, type, zero: $i).
% 0.59/1.33 thf(prove_xQzLEy, conjecture, (less_equal @ xQz @ y)).
% 0.59/1.33 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ xQz @ y )),
% 0.59/1.33 inference('cnf.neg', [status(esa)], [prove_xQzLEy])).
% 0.59/1.33 thf(zip_derived_cl16, plain, (~ (less_equal @ xQz @ y)),
% 0.59/1.33 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/1.33 thf(x_divde_zero_is_x, axiom, (quotient @ X @ zero @ X)).
% 0.59/1.33 thf(zip_derived_cl12, plain, (![X0 : $i]: (quotient @ X0 @ zero @ X0)),
% 0.59/1.33 inference('cnf', [status(esa)], [x_divde_zero_is_x])).
% 0.59/1.33 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 0.59/1.33 thf(zip_derived_cl7, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [closure])).
% 0.59/1.33 thf(zip_derived_cl7, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [closure])).
% 0.59/1.33 thf(xQyLEz, axiom, (less_equal @ xQy @ z)).
% 0.59/1.33 thf(zip_derived_cl14, plain, ( (less_equal @ xQy @ z)),
% 0.59/1.33 inference('cnf', [status(esa)], [xQyLEz])).
% 0.59/1.33 thf(quotient_less_equal, axiom,
% 0.59/1.33 (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 0.59/1.33 thf(zip_derived_cl0, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]:
% 0.59/1.33 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.59/1.33 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.59/1.33 thf(zip_derived_cl24, plain, ( (quotient @ xQy @ z @ zero)),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 0.59/1.33 thf(xQz, axiom, (quotient @ x @ z @ xQz)).
% 0.59/1.33 thf(zip_derived_cl15, plain, ( (quotient @ x @ z @ xQz)),
% 0.59/1.33 inference('cnf', [status(esa)], [xQz])).
% 0.59/1.33 thf(zip_derived_cl7, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [closure])).
% 0.59/1.33 thf(xQy, axiom, (quotient @ x @ y @ xQy)).
% 0.59/1.33 thf(zip_derived_cl13, plain, ( (quotient @ x @ y @ xQy)),
% 0.59/1.33 inference('cnf', [status(esa)], [xQy])).
% 0.59/1.33 thf(quotient_property, axiom,
% 0.59/1.33 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 0.59/1.33 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 0.59/1.33 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 0.59/1.33 thf(zip_derived_cl3, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.59/1.33 (~ (quotient @ X0 @ X1 @ X2)
% 0.59/1.33 | ~ (quotient @ X1 @ X3 @ X4)
% 0.59/1.33 | ~ (quotient @ X0 @ X3 @ X5)
% 0.59/1.33 | ~ (quotient @ X5 @ X4 @ X6)
% 0.59/1.33 | ~ (quotient @ X2 @ X3 @ X7)
% 0.59/1.33 | (less_equal @ X6 @ X7))),
% 0.59/1.33 inference('cnf', [status(esa)], [quotient_property])).
% 0.59/1.33 thf(zip_derived_cl47, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.33 (~ (quotient @ y @ X1 @ X0)
% 0.59/1.33 | ~ (quotient @ x @ X1 @ X2)
% 0.59/1.33 | ~ (quotient @ X2 @ X0 @ X3)
% 0.59/1.33 | ~ (quotient @ xQy @ X1 @ X4)
% 0.59/1.33 | (less_equal @ X3 @ X4))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl3])).
% 0.59/1.33 thf(zip_derived_cl208, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.33 (~ (quotient @ x @ X0 @ X1)
% 0.59/1.33 | ~ (quotient @ X1 @ (divide @ y @ X0) @ X2)
% 0.59/1.33 | ~ (quotient @ xQy @ X0 @ X3)
% 0.59/1.33 | (less_equal @ X2 @ X3))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl47])).
% 0.59/1.33 thf(zip_derived_cl1123, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]:
% 0.59/1.33 (~ (quotient @ xQz @ (divide @ y @ z) @ X0)
% 0.59/1.33 | ~ (quotient @ xQy @ z @ X1)
% 0.59/1.33 | (less_equal @ X0 @ X1))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl208])).
% 0.59/1.33 thf(zip_derived_cl1174, plain,
% 0.59/1.33 (![X0 : $i]:
% 0.59/1.33 (~ (quotient @ xQz @ (divide @ y @ z) @ X0)
% 0.59/1.33 | (less_equal @ X0 @ zero))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl1123])).
% 0.59/1.33 thf(zip_derived_cl1176, plain,
% 0.59/1.33 ( (less_equal @ (divide @ xQz @ (divide @ y @ z)) @ zero)),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1174])).
% 0.59/1.33 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.59/1.33 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.59/1.33 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.59/1.33 thf(less_equal_and_equal, axiom,
% 0.59/1.33 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.59/1.33 ( ( X ) = ( Y ) ))).
% 0.59/1.33 thf(zip_derived_cl5, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]:
% 0.59/1.33 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.59/1.33 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.59/1.33 thf(zip_derived_cl18, plain,
% 0.59/1.33 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.59/1.33 thf(zip_derived_cl1179, plain,
% 0.59/1.33 (((zero) = (divide @ xQz @ (divide @ y @ z)))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl1176, zip_derived_cl18])).
% 0.59/1.33 thf(zip_derived_cl7, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [closure])).
% 0.59/1.33 thf(divisor_existence, axiom,
% 0.59/1.33 (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 0.59/1.33 thf(zip_derived_cl2, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.33 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 0.59/1.33 inference('cnf', [status(esa)], [divisor_existence])).
% 0.59/1.33 thf(zip_derived_cl35, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X1 @ X0) @ X1)),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.59/1.33 thf(zip_derived_cl0, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]:
% 0.59/1.33 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.59/1.33 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.59/1.33 thf(zip_derived_cl104, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ (divide @ X0 @ X1) @ X0 @ zero)),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.59/1.33 thf(zip_derived_cl7, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [closure])).
% 0.59/1.33 thf(zip_derived_cl7, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [closure])).
% 0.59/1.33 thf(zip_derived_cl3, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.59/1.33 (~ (quotient @ X0 @ X1 @ X2)
% 0.59/1.33 | ~ (quotient @ X1 @ X3 @ X4)
% 0.59/1.33 | ~ (quotient @ X0 @ X3 @ X5)
% 0.59/1.33 | ~ (quotient @ X5 @ X4 @ X6)
% 0.59/1.33 | ~ (quotient @ X2 @ X3 @ X7)
% 0.59/1.33 | (less_equal @ X6 @ X7))),
% 0.59/1.33 inference('cnf', [status(esa)], [quotient_property])).
% 0.59/1.33 thf(zip_derived_cl43, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.59/1.33 (~ (quotient @ X0 @ X3 @ X2)
% 0.59/1.33 | ~ (quotient @ X1 @ X3 @ X4)
% 0.59/1.33 | ~ (quotient @ X4 @ X2 @ X5)
% 0.59/1.33 | ~ (quotient @ (divide @ X1 @ X0) @ X3 @ X6)
% 0.59/1.33 | (less_equal @ X5 @ X6))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.59/1.33 thf(zip_derived_cl145, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/1.33 (~ (quotient @ X1 @ X0 @ X3)
% 0.59/1.33 | ~ (quotient @ X2 @ X0 @ X4)
% 0.59/1.33 | ~ (quotient @ X4 @ X3 @ X5)
% 0.59/1.33 | (less_equal @ X5 @ (divide @ (divide @ X2 @ X1) @ X0)))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl43])).
% 0.59/1.33 thf(zip_derived_cl466, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.33 (~ (quotient @ X3 @ X0 @ X2)
% 0.59/1.33 | ~ (quotient @ X2 @ zero @ X4)
% 0.59/1.33 | (less_equal @ X4 @
% 0.59/1.33 (divide @ (divide @ X3 @ (divide @ X0 @ X1)) @ X0)))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl145])).
% 0.59/1.33 thf(zip_derived_cl2281, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]:
% 0.59/1.33 (~ (quotient @ xQz @ y @ X1)
% 0.59/1.33 | ~ (quotient @ X1 @ zero @ X0)
% 0.59/1.33 | (less_equal @ X0 @ (divide @ zero @ y)))),
% 0.59/1.33 inference('s_sup+', [status(thm)],
% 0.59/1.33 [zip_derived_cl1179, zip_derived_cl466])).
% 0.59/1.33 thf(zip_derived_cl7, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [closure])).
% 0.59/1.33 thf(zero_divide_anything_is_zero, axiom, (quotient @ zero @ X @ zero)).
% 0.59/1.33 thf(zip_derived_cl10, plain, (![X0 : $i]: (quotient @ zero @ X0 @ zero)),
% 0.59/1.33 inference('cnf', [status(esa)], [zero_divide_anything_is_zero])).
% 0.59/1.33 thf(well_defined, axiom,
% 0.59/1.33 (( ~( quotient @ X @ Y @ Z ) ) | ( ~( quotient @ X @ Y @ W ) ) |
% 0.59/1.33 ( ( Z ) = ( W ) ))).
% 0.59/1.33 thf(zip_derived_cl8, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.33 (~ (quotient @ X0 @ X1 @ X2)
% 0.59/1.33 | ~ (quotient @ X0 @ X1 @ X3)
% 0.59/1.33 | ((X2) = (X3)))),
% 0.59/1.33 inference('cnf', [status(esa)], [well_defined])).
% 0.59/1.33 thf(zip_derived_cl53, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (~ (quotient @ zero @ X0 @ X1) | ((zero) = (X1)))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 0.59/1.33 thf(zip_derived_cl92, plain, (![X0 : $i]: ((zero) = (divide @ zero @ X0))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl53])).
% 0.59/1.33 thf(zip_derived_cl2312, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]:
% 0.59/1.33 (~ (quotient @ xQz @ y @ X1)
% 0.59/1.33 | ~ (quotient @ X1 @ zero @ X0)
% 0.59/1.33 | (less_equal @ X0 @ zero))),
% 0.59/1.33 inference('demod', [status(thm)], [zip_derived_cl2281, zip_derived_cl92])).
% 0.59/1.33 thf(zip_derived_cl2393, plain,
% 0.59/1.33 (![X0 : $i]:
% 0.59/1.33 (~ (quotient @ (divide @ xQz @ y) @ zero @ X0)
% 0.59/1.33 | (less_equal @ X0 @ zero))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2312])).
% 0.59/1.33 thf(zip_derived_cl2395, plain, ( (less_equal @ (divide @ xQz @ y) @ zero)),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl2393])).
% 0.59/1.33 thf(zip_derived_cl18, plain,
% 0.59/1.33 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.59/1.33 thf(zip_derived_cl2422, plain, (((zero) = (divide @ xQz @ y))),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl2395, zip_derived_cl18])).
% 0.59/1.33 thf(zip_derived_cl7, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [closure])).
% 0.59/1.33 thf(zip_derived_cl2440, plain, ( (quotient @ xQz @ y @ zero)),
% 0.59/1.33 inference('s_sup+', [status(thm)], [zip_derived_cl2422, zip_derived_cl7])).
% 0.59/1.33 thf(less_equal_quotient, axiom,
% 0.59/1.33 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 0.59/1.33 thf(zip_derived_cl1, plain,
% 0.59/1.33 (![X0 : $i, X1 : $i]:
% 0.59/1.33 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.59/1.33 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.59/1.33 thf(zip_derived_cl2510, plain, ( (less_equal @ xQz @ y)),
% 0.59/1.33 inference('s_sup-', [status(thm)], [zip_derived_cl2440, zip_derived_cl1])).
% 0.59/1.33 thf(zip_derived_cl2524, plain, ($false),
% 0.59/1.33 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl2510])).
% 0.59/1.33
% 0.59/1.33 % SZS output end Refutation
% 0.59/1.33
% 0.59/1.33
% 0.59/1.33 % Terminating...
% 0.61/1.48 % Runner terminated.
% 4.78/1.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------