%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN005-2 : 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.6PMNdAGMYR true
% Computer : n021.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 04:37:21 PM UTC 2025
% Result : Unsatisfiable 0.38s 1.03s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.19 % Problem : HEN005-2 : TPTP v9.2.0. Released v1.0.0.
% 0.09/0.20 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6PMNdAGMYR true
% 0.11/0.41 % Computer : n021.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8042.1875MB
% 0.11/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Wed Oct 1 16:53:53 EDT 2025
% 0.11/0.41 % CPUTime :
% 0.11/0.41 % Running portfolio for 300 s
% 0.11/0.41 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.41 % Number of cores: 8
% 0.11/0.41 % Python version: Python 3.6.8
% 0.11/0.41 % Running in FO mode
% 0.37/0.65 % Total configuration time : 435
% 0.37/0.65 % Estimated wc time : 1092
% 0.37/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.37/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.37/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.37/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.37/0.82 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.37/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.38/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.38/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.38/1.03 % Solved by fo/fo13.sh.
% 0.38/1.03 % done 140 iterations in 0.092s
% 0.38/1.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.38/1.03 % SZS output start Refutation
% 0.38/1.03 thf(divide_type, type, divide: $i > $i > $i).
% 0.38/1.03 thf(y_type, type, y: $i).
% 0.38/1.03 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.38/1.03 thf(z_type, type, z: $i).
% 0.38/1.03 thf(x_type, type, x: $i).
% 0.38/1.03 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 0.38/1.03 thf(zero_type, type, zero: $i).
% 0.38/1.03 thf(prove_transitivity_of_less_equal, conjecture, (less_equal @ x @ z)).
% 0.38/1.03 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ x @ z )),
% 0.38/1.03 inference('cnf.neg', [status(esa)], [prove_transitivity_of_less_equal])).
% 0.38/1.03 thf(zip_derived_cl15, plain, (~ (less_equal @ x @ z)),
% 0.38/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.38/1.03 thf(x_divde_zero_is_x, axiom, (quotient @ X @ zero @ X)).
% 0.38/1.03 thf(zip_derived_cl12, plain, (![X0 : $i]: (quotient @ X0 @ zero @ X0)),
% 0.38/1.03 inference('cnf', [status(esa)], [x_divde_zero_is_x])).
% 0.38/1.03 thf(zero_divide_anything_is_zero, axiom, (quotient @ zero @ X @ zero)).
% 0.38/1.03 thf(zip_derived_cl10, plain, (![X0 : $i]: (quotient @ zero @ X0 @ zero)),
% 0.38/1.03 inference('cnf', [status(esa)], [zero_divide_anything_is_zero])).
% 0.38/1.03 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 0.38/1.03 thf(zip_derived_cl7, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.38/1.03 inference('cnf', [status(esa)], [closure])).
% 0.38/1.03 thf(yLEz, axiom, (less_equal @ y @ z)).
% 0.38/1.03 thf(zip_derived_cl14, plain, ( (less_equal @ y @ z)),
% 0.38/1.03 inference('cnf', [status(esa)], [yLEz])).
% 0.38/1.03 thf(quotient_less_equal, axiom,
% 0.38/1.03 (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 0.38/1.03 thf(zip_derived_cl0, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i]:
% 0.38/1.03 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.38/1.03 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.38/1.03 thf(zip_derived_cl19, plain, ( (quotient @ y @ z @ zero)),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 0.38/1.03 thf(xLEy, axiom, (less_equal @ x @ y)).
% 0.38/1.03 thf(zip_derived_cl13, plain, ( (less_equal @ x @ y)),
% 0.38/1.03 inference('cnf', [status(esa)], [xLEy])).
% 0.38/1.03 thf(zip_derived_cl0, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i]:
% 0.38/1.03 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.38/1.03 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.38/1.03 thf(zip_derived_cl16, plain, ( (quotient @ x @ y @ zero)),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 0.38/1.03 thf(quotient_property, axiom,
% 0.38/1.03 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 0.38/1.03 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 0.38/1.03 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 0.38/1.03 thf(zip_derived_cl3, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.38/1.03 (~ (quotient @ X0 @ X1 @ X2)
% 0.38/1.03 | ~ (quotient @ X1 @ X3 @ X4)
% 0.38/1.03 | ~ (quotient @ X0 @ X3 @ X5)
% 0.38/1.03 | ~ (quotient @ X5 @ X4 @ X6)
% 0.38/1.03 | ~ (quotient @ X2 @ X3 @ X7)
% 0.38/1.03 | (less_equal @ X6 @ X7))),
% 0.38/1.03 inference('cnf', [status(esa)], [quotient_property])).
% 0.38/1.03 thf(zip_derived_cl42, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.38/1.03 (~ (quotient @ y @ X1 @ X0)
% 0.38/1.03 | ~ (quotient @ x @ X1 @ X2)
% 0.38/1.03 | ~ (quotient @ X2 @ X0 @ X3)
% 0.38/1.03 | ~ (quotient @ zero @ X1 @ X4)
% 0.38/1.03 | (less_equal @ X3 @ X4))),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl3])).
% 0.38/1.03 thf(zip_derived_cl182, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/1.03 (~ (quotient @ x @ z @ X0)
% 0.38/1.03 | ~ (quotient @ X0 @ zero @ X1)
% 0.38/1.03 | ~ (quotient @ zero @ z @ X2)
% 0.38/1.03 | (less_equal @ X1 @ X2))),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl42])).
% 0.38/1.03 thf(zip_derived_cl200, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i]:
% 0.38/1.03 (~ (quotient @ (divide @ x @ z) @ zero @ X0)
% 0.38/1.03 | ~ (quotient @ zero @ z @ X1)
% 0.38/1.03 | (less_equal @ X0 @ X1))),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl182])).
% 0.38/1.03 thf(zip_derived_cl202, plain,
% 0.38/1.03 (![X0 : $i]:
% 0.38/1.03 (~ (quotient @ (divide @ x @ z) @ zero @ X0)
% 0.38/1.03 | (less_equal @ X0 @ zero))),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl200])).
% 0.38/1.03 thf(zip_derived_cl205, plain, ( (less_equal @ (divide @ x @ z) @ zero)),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl202])).
% 0.38/1.03 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.38/1.03 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.38/1.03 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.38/1.03 thf(less_equal_and_equal, axiom,
% 0.38/1.03 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.38/1.03 ( ( X ) = ( Y ) ))).
% 0.38/1.03 thf(zip_derived_cl5, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i]:
% 0.38/1.03 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.38/1.03 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.38/1.03 thf(zip_derived_cl21, plain,
% 0.38/1.03 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.38/1.03 thf(zip_derived_cl209, plain, (((zero) = (divide @ x @ z))),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl205, zip_derived_cl21])).
% 0.38/1.03 thf(zip_derived_cl7, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.38/1.03 inference('cnf', [status(esa)], [closure])).
% 0.38/1.03 thf(zip_derived_cl214, plain, ( (quotient @ x @ z @ zero)),
% 0.38/1.03 inference('s_sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl7])).
% 0.38/1.03 thf(less_equal_quotient, axiom,
% 0.38/1.03 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 0.38/1.03 thf(zip_derived_cl1, plain,
% 0.38/1.03 (![X0 : $i, X1 : $i]:
% 0.38/1.03 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.38/1.03 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.38/1.03 thf(zip_derived_cl234, plain, ( (less_equal @ x @ z)),
% 0.38/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 0.38/1.03 thf(zip_derived_cl236, plain, ($false),
% 0.38/1.03 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl234])).
% 0.38/1.03
% 0.38/1.03 % SZS output end Refutation
% 0.38/1.03
% 0.38/1.03
% 0.38/1.03 % Terminating...
% 1.53/1.14 % Runner terminated.
% 1.53/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------