%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN006-2 : 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.EhCiNN3C9Z 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 04:37:22 PM UTC 2025
% Result : Unsatisfiable 4.85s 1.28s
% Output : Refutation 4.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HEN006-2 : 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.EhCiNN3C9Z true
% 0.16/0.36 % Computer : n031.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Oct 1 16:54:53 EDT 2025
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.85/1.28 % Solved by fo/fo6_bce.sh.
% 4.85/1.28 % BCE start: 18
% 4.85/1.28 % BCE eliminated: 0
% 4.85/1.28 % PE start: 18
% 4.85/1.28 logic: eq
% 4.85/1.28 % PE eliminated: 0
% 4.85/1.28 % done 847 iterations in 0.533s
% 4.85/1.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.85/1.28 % SZS output start Refutation
% 4.85/1.28 thf(z_type, type, z: $i).
% 4.85/1.28 thf(divide_type, type, divide: $i > $i > $i).
% 4.85/1.28 thf(xQy_type, type, xQy: $i).
% 4.85/1.28 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 4.85/1.28 thf(xQz_type, type, xQz: $i).
% 4.85/1.28 thf(y_type, type, y: $i).
% 4.85/1.28 thf(x_type, type, x: $i).
% 4.85/1.28 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 4.85/1.28 thf(zero_type, type, zero: $i).
% 4.85/1.28 thf(prove_xQzLEy, conjecture, (less_equal @ xQz @ y)).
% 4.85/1.28 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ xQz @ y )),
% 4.85/1.28 inference('cnf.neg', [status(esa)], [prove_xQzLEy])).
% 4.85/1.28 thf(zip_derived_cl17, plain, (~ (less_equal @ xQz @ y)),
% 4.85/1.28 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.85/1.28 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 4.85/1.28 thf(zip_derived_cl7, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 4.85/1.28 inference('cnf', [status(esa)], [closure])).
% 4.85/1.28 thf(divisor_existence, axiom,
% 4.85/1.28 (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 4.85/1.28 thf(zip_derived_cl2, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.85/1.28 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 4.85/1.28 inference('cnf', [status(esa)], [divisor_existence])).
% 4.85/1.28 thf(zip_derived_cl106, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X1 @ X0) @ X1)),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 4.85/1.28 thf(zip_derived_cl7, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 4.85/1.28 inference('cnf', [status(esa)], [closure])).
% 4.85/1.28 thf(quotient_less_equal, axiom,
% 4.85/1.28 (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 4.85/1.28 thf(zip_derived_cl0, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]:
% 4.85/1.28 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 4.85/1.28 inference('cnf', [status(esa)], [quotient_less_equal])).
% 4.85/1.28 thf(xQz, axiom, (quotient @ x @ z @ xQz)).
% 4.85/1.28 thf(zip_derived_cl16, plain, ( (quotient @ x @ z @ xQz)),
% 4.85/1.28 inference('cnf', [status(esa)], [xQz])).
% 4.85/1.28 thf(zip_derived_cl7, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 4.85/1.28 inference('cnf', [status(esa)], [closure])).
% 4.85/1.28 thf(xQy, axiom, (quotient @ x @ y @ xQy)).
% 4.85/1.28 thf(zip_derived_cl14, plain, ( (quotient @ x @ y @ xQy)),
% 4.85/1.28 inference('cnf', [status(esa)], [xQy])).
% 4.85/1.28 thf(quotient_property, axiom,
% 4.85/1.28 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 4.85/1.28 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 4.85/1.28 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 4.85/1.28 thf(zip_derived_cl3, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 4.85/1.28 (~ (quotient @ X0 @ X1 @ X2)
% 4.85/1.28 | ~ (quotient @ X1 @ X3 @ X4)
% 4.85/1.28 | ~ (quotient @ X0 @ X3 @ X5)
% 4.85/1.28 | ~ (quotient @ X5 @ X4 @ X6)
% 4.85/1.28 | ~ (quotient @ X2 @ X3 @ X7)
% 4.85/1.28 | (less_equal @ X6 @ X7))),
% 4.85/1.28 inference('cnf', [status(esa)], [quotient_property])).
% 4.85/1.28 thf(zip_derived_cl96, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.85/1.28 (~ (quotient @ y @ X1 @ X0)
% 4.85/1.28 | ~ (quotient @ x @ X1 @ X2)
% 4.85/1.28 | ~ (quotient @ X2 @ X0 @ X3)
% 4.85/1.28 | ~ (quotient @ xQy @ X1 @ X4)
% 4.85/1.28 | (less_equal @ X3 @ X4))),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 4.85/1.28 thf(zip_derived_cl173, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.85/1.28 (~ (quotient @ x @ X0 @ X1)
% 4.85/1.28 | ~ (quotient @ X1 @ (divide @ y @ X0) @ X2)
% 4.85/1.28 | ~ (quotient @ xQy @ X0 @ X3)
% 4.85/1.28 | (less_equal @ X2 @ X3))),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl96])).
% 4.85/1.28 thf(zip_derived_cl588, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]:
% 4.85/1.28 (~ (quotient @ xQz @ (divide @ y @ z) @ X0)
% 4.85/1.28 | ~ (quotient @ xQy @ z @ X1)
% 4.85/1.28 | (less_equal @ X0 @ X1))),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl173])).
% 4.85/1.28 thf(zip_derived_cl2599, plain,
% 4.85/1.28 (![X0 : $i]:
% 4.85/1.28 (~ (less_equal @ xQy @ z)
% 4.85/1.28 | ~ (quotient @ xQz @ (divide @ y @ z) @ X0)
% 4.85/1.28 | (less_equal @ X0 @ zero))),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl588])).
% 4.85/1.28 thf(xQyLEz, axiom, (less_equal @ xQy @ z)).
% 4.85/1.28 thf(zip_derived_cl15, plain, ( (less_equal @ xQy @ z)),
% 4.85/1.28 inference('cnf', [status(esa)], [xQyLEz])).
% 4.85/1.28 thf(zip_derived_cl2602, plain,
% 4.85/1.28 (![X0 : $i]:
% 4.85/1.28 (~ (quotient @ xQz @ (divide @ y @ z) @ X0)
% 4.85/1.28 | (less_equal @ X0 @ zero))),
% 4.85/1.28 inference('demod', [status(thm)], [zip_derived_cl2599, zip_derived_cl15])).
% 4.85/1.28 thf(zip_derived_cl2633, plain,
% 4.85/1.28 ( (less_equal @ (divide @ xQz @ (divide @ y @ z)) @ zero)),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2602])).
% 4.85/1.28 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 4.85/1.28 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 4.85/1.28 inference('cnf', [status(esa)], [zero_is_smallest])).
% 4.85/1.28 thf(less_equal_and_equal, axiom,
% 4.85/1.28 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 4.85/1.28 ( ( X ) = ( Y ) ))).
% 4.85/1.28 thf(zip_derived_cl5, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]:
% 4.85/1.28 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 4.85/1.28 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 4.85/1.28 thf(zip_derived_cl79, plain,
% 4.85/1.28 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 4.85/1.28 thf(zip_derived_cl2649, plain,
% 4.85/1.28 (((zero) = (divide @ xQz @ (divide @ y @ z)))),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl2633, zip_derived_cl79])).
% 4.85/1.28 thf(zip_derived_cl7, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 4.85/1.28 inference('cnf', [status(esa)], [closure])).
% 4.85/1.28 thf(zip_derived_cl2675, plain, ( (quotient @ xQz @ (divide @ y @ z) @ zero)),
% 4.85/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2649, zip_derived_cl7])).
% 4.85/1.28 thf(less_equal_quotient, axiom,
% 4.85/1.28 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 4.85/1.28 thf(zip_derived_cl1, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i]:
% 4.85/1.28 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 4.85/1.28 inference('cnf', [status(esa)], [less_equal_quotient])).
% 4.85/1.28 thf(zip_derived_cl2731, plain, ( (less_equal @ xQz @ (divide @ y @ z))),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl2675, zip_derived_cl1])).
% 4.85/1.28 thf(transitivity_of_less_equal, axiom,
% 4.85/1.28 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ Z ) ) |
% 4.85/1.28 ( less_equal @ X @ Z ))).
% 4.85/1.28 thf(zip_derived_cl13, plain,
% 4.85/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.85/1.28 (~ (less_equal @ X0 @ X1)
% 4.85/1.28 | ~ (less_equal @ X1 @ X2)
% 4.85/1.28 | (less_equal @ X0 @ X2))),
% 4.85/1.28 inference('cnf', [status(esa)], [transitivity_of_less_equal])).
% 4.85/1.28 thf(zip_derived_cl2752, plain,
% 4.85/1.28 (![X0 : $i]:
% 4.85/1.28 (~ (less_equal @ (divide @ y @ z) @ X0) | (less_equal @ xQz @ X0))),
% 4.85/1.28 inference('s_sup-', [status(thm)], [zip_derived_cl2731, zip_derived_cl13])).
% 4.85/1.28 thf(zip_derived_cl2775, plain, ( (less_equal @ xQz @ y)),
% 4.85/1.28 inference('s_sup-', [status(thm)],
% 4.85/1.28 [zip_derived_cl106, zip_derived_cl2752])).
% 4.85/1.28 thf(zip_derived_cl2783, plain, ($false),
% 4.85/1.28 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl2775])).
% 4.85/1.28
% 4.85/1.28 % SZS output end Refutation
% 4.85/1.28
% 4.85/1.28
% 4.85/1.28 % Terminating...
% 5.31/1.37 % Runner terminated.
% 5.31/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------