%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN004-2 : 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.2tFXGtyVre 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 Oct 2 04:37:20 PM UTC 2025
% Result : Unsatisfiable 0.34s 1.16s
% Output : Refutation 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.30 % Problem : HEN004-2 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.31 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2tFXGtyVre true
% 0.13/0.55 % Computer : n015.cluster.edu
% 0.13/0.55 % Model : x86_64 x86_64
% 0.13/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.55 % Memory : 8042.1875MB
% 0.13/0.55 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.55 % CPULimit : 300
% 0.13/0.55 % WCLimit : 300
% 0.13/0.55 % DateTime : Wed Oct 1 16:54:23 EDT 2025
% 0.13/0.55 % CPUTime :
% 0.13/0.55 % Running portfolio for 300 s
% 0.13/0.55 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.55 % Number of cores: 8
% 0.13/0.56 % Python version: Python 3.6.8
% 0.13/0.56 % Running in FO mode
% 0.34/0.89 % Total configuration time : 435
% 0.34/0.89 % Estimated wc time : 1092
% 0.34/0.89 % Estimated cpu time (7 cpus) : 156.0
% 0.34/0.95 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.34/0.95 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.34/0.97 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.34/0.98 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.34/0.98 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.34/0.99 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.34/0.99 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.34/1.16 % Solved by fo/fo13.sh.
% 0.34/1.16 % done 226 iterations in 0.108s
% 0.34/1.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.34/1.16 % SZS output start Refutation
% 0.34/1.16 thf(divide_type, type, divide: $i > $i > $i).
% 0.34/1.16 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.34/1.16 thf(x_type, type, x: $i).
% 0.34/1.16 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 0.34/1.16 thf(zero_type, type, zero: $i).
% 0.34/1.16 thf(prove_x_divde_zero_is_x, conjecture, (quotient @ x @ zero @ x)).
% 0.34/1.16 thf(zf_stmt_0, negated_conjecture, (~( quotient @ x @ zero @ x )),
% 0.34/1.16 inference('cnf.neg', [status(esa)], [prove_x_divde_zero_is_x])).
% 0.34/1.16 thf(zip_derived_cl12, plain, (~ (quotient @ x @ zero @ x)),
% 0.34/1.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.34/1.16 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 0.34/1.16 thf(zip_derived_cl7, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [closure])).
% 0.34/1.16 thf(zip_derived_cl7, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [closure])).
% 0.34/1.16 thf(zero_divide_anything_is_zero, axiom, (quotient @ zero @ X @ zero)).
% 0.34/1.16 thf(zip_derived_cl10, plain, (![X0 : $i]: (quotient @ zero @ X0 @ zero)),
% 0.34/1.16 inference('cnf', [status(esa)], [zero_divide_anything_is_zero])).
% 0.34/1.16 thf(x_divide_x_is_zero, axiom, (quotient @ X @ X @ zero)).
% 0.34/1.16 thf(zip_derived_cl11, plain, (![X0 : $i]: (quotient @ X0 @ X0 @ zero)),
% 0.34/1.16 inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 0.34/1.16 thf(zip_derived_cl7, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [closure])).
% 0.34/1.16 thf(quotient_property, axiom,
% 0.34/1.16 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 0.34/1.16 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 0.34/1.16 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 0.34/1.16 thf(zip_derived_cl3, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.34/1.16 (~ (quotient @ X0 @ X1 @ X2)
% 0.34/1.16 | ~ (quotient @ X1 @ X3 @ X4)
% 0.34/1.16 | ~ (quotient @ X0 @ X3 @ X5)
% 0.34/1.16 | ~ (quotient @ X5 @ X4 @ X6)
% 0.34/1.16 | ~ (quotient @ X2 @ X3 @ X7)
% 0.34/1.16 | (less_equal @ X6 @ X7))),
% 0.34/1.16 inference('cnf', [status(esa)], [quotient_property])).
% 0.34/1.16 thf(zip_derived_cl31, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.34/1.16 (~ (quotient @ X0 @ X3 @ X2)
% 0.34/1.16 | ~ (quotient @ X1 @ X3 @ X4)
% 0.34/1.16 | ~ (quotient @ X4 @ X2 @ X5)
% 0.34/1.16 | ~ (quotient @ (divide @ X1 @ X0) @ X3 @ X6)
% 0.34/1.16 | (less_equal @ X5 @ X6))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.34/1.16 thf(zip_derived_cl96, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.34/1.16 (~ (quotient @ X0 @ (divide @ X1 @ X0) @ X2)
% 0.34/1.16 | ~ (quotient @ X1 @ (divide @ X1 @ X0) @ X3)
% 0.34/1.16 | ~ (quotient @ X3 @ X2 @ X4)
% 0.34/1.16 | (less_equal @ X4 @ zero))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl31])).
% 0.34/1.16 thf(zip_derived_cl255, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.16 (~ (quotient @ X0 @ (divide @ X0 @ zero) @ X1)
% 0.34/1.16 | ~ (quotient @ X1 @ zero @ X2)
% 0.34/1.16 | (less_equal @ X2 @ zero))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl96])).
% 0.34/1.16 thf(zip_derived_cl261, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]:
% 0.34/1.16 (~ (quotient @ X1 @ (divide @ X1 @ zero) @ X0)
% 0.34/1.16 | (less_equal @ (divide @ X0 @ zero) @ zero))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl255])).
% 0.34/1.16 thf(zip_derived_cl280, plain,
% 0.34/1.16 (![X0 : $i]:
% 0.34/1.16 (less_equal @
% 0.34/1.16 (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) @ zero)),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl261])).
% 0.34/1.16 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.34/1.16 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.34/1.16 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.34/1.16 thf(less_equal_and_equal, axiom,
% 0.34/1.16 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.34/1.16 ( ( X ) = ( Y ) ))).
% 0.34/1.16 thf(zip_derived_cl5, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]:
% 0.34/1.16 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.34/1.16 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.34/1.16 thf(zip_derived_cl16, plain,
% 0.34/1.16 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.34/1.16 thf(zip_derived_cl323, plain,
% 0.34/1.16 (![X0 : $i]:
% 0.34/1.16 ((zero) = (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl280, zip_derived_cl16])).
% 0.34/1.16 thf(zip_derived_cl7, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [closure])).
% 0.34/1.16 thf(zip_derived_cl341, plain,
% 0.34/1.16 (![X0 : $i]:
% 0.34/1.16 (quotient @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero @ zero)),
% 0.34/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl323, zip_derived_cl7])).
% 0.34/1.16 thf(less_equal_quotient, axiom,
% 0.34/1.16 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 0.34/1.16 thf(zip_derived_cl1, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]:
% 0.34/1.16 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.34/1.16 thf(zip_derived_cl400, plain,
% 0.34/1.16 (![X0 : $i]: (less_equal @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero)),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl341, zip_derived_cl1])).
% 0.34/1.16 thf(zip_derived_cl16, plain,
% 0.34/1.16 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.34/1.16 thf(zip_derived_cl424, plain,
% 0.34/1.16 (![X0 : $i]: ((zero) = (divide @ X0 @ (divide @ X0 @ zero)))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl400, zip_derived_cl16])).
% 0.34/1.16 thf(zip_derived_cl7, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [closure])).
% 0.34/1.16 thf(zip_derived_cl439, plain,
% 0.34/1.16 (![X0 : $i]: (quotient @ X0 @ (divide @ X0 @ zero) @ zero)),
% 0.34/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl424, zip_derived_cl7])).
% 0.34/1.16 thf(zip_derived_cl1, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]:
% 0.34/1.16 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.34/1.16 thf(zip_derived_cl466, plain,
% 0.34/1.16 (![X0 : $i]: (less_equal @ X0 @ (divide @ X0 @ zero))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl439, zip_derived_cl1])).
% 0.34/1.16 thf(zip_derived_cl7, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [closure])).
% 0.34/1.16 thf(divisor_existence, axiom,
% 0.34/1.16 (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 0.34/1.16 thf(zip_derived_cl2, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.16 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 0.34/1.16 inference('cnf', [status(esa)], [divisor_existence])).
% 0.34/1.16 thf(zip_derived_cl27, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X1 @ X0) @ X1)),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.34/1.16 thf(zip_derived_cl5, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]:
% 0.34/1.16 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.34/1.16 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.34/1.16 thf(zip_derived_cl61, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]:
% 0.34/1.16 (~ (less_equal @ X0 @ (divide @ X0 @ X1))
% 0.34/1.16 | ((divide @ X0 @ X1) = (X0)))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl5])).
% 0.34/1.16 thf(zip_derived_cl501, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 0.34/1.16 inference('s_sup-', [status(thm)], [zip_derived_cl466, zip_derived_cl61])).
% 0.34/1.16 thf(zip_derived_cl7, plain,
% 0.34/1.16 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.34/1.16 inference('cnf', [status(esa)], [closure])).
% 0.34/1.16 thf(zip_derived_cl518, plain, (![X0 : $i]: (quotient @ X0 @ zero @ X0)),
% 0.34/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl7])).
% 0.34/1.16 thf(zip_derived_cl540, plain, ($false),
% 0.34/1.16 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl518])).
% 0.34/1.16
% 0.34/1.16 % SZS output end Refutation
% 0.34/1.16
% 0.34/1.16
% 0.34/1.16 % Terminating...
% 2.39/1.26 % Runner terminated.
% 2.39/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------