%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN005-1 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XZjBYdtEV4 true
% Computer : n009.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 0.24s 1.06s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.23 % Problem : HEN005-1 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.10/0.25 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XZjBYdtEV4 true
% 0.10/0.46 % Computer : n009.cluster.edu
% 0.10/0.46 % Model : x86_64 x86_64
% 0.10/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.46 % Memory : 8042.1875MB
% 0.10/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.46 % CPULimit : 300
% 0.10/0.46 % WCLimit : 300
% 0.10/0.46 % DateTime : Wed Oct 1 16:54:53 EDT 2025
% 0.10/0.46 % CPUTime :
% 0.10/0.46 % Running portfolio for 300 s
% 0.10/0.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % Number of cores: 8
% 0.10/0.47 % Python version: Python 3.6.8
% 0.10/0.47 % Running in FO mode
% 0.24/0.76 % Total configuration time : 435
% 0.24/0.76 % Estimated wc time : 1092
% 0.24/0.76 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.86 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.86 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.87 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.89 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.90 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.90 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.97 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.24/1.06 % Solved by fo/fo7.sh.
% 0.24/1.06 % done 171 iterations in 0.082s
% 0.24/1.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.24/1.06 % SZS output start Refutation
% 0.24/1.06 thf(divide_type, type, divide: $i > $i > $i).
% 0.24/1.06 thf(z_type, type, z: $i).
% 0.24/1.06 thf(y_type, type, y: $i).
% 0.24/1.06 thf(x_type, type, x: $i).
% 0.24/1.06 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.24/1.06 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 0.24/1.06 thf(zero_type, type, zero: $i).
% 0.24/1.06 thf(less_equal_quotient, axiom,
% 0.24/1.06 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 0.24/1.06 thf(zip_derived_cl1, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]:
% 0.24/1.06 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.24/1.06 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.24/1.06 thf(prove_transitivity_of_less_equal, conjecture, (less_equal @ x @ z)).
% 0.24/1.06 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ x @ z )),
% 0.24/1.06 inference('cnf.neg', [status(esa)], [prove_transitivity_of_less_equal])).
% 0.24/1.06 thf(zip_derived_cl11, plain, (~ (less_equal @ x @ z)),
% 0.24/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.24/1.06 thf(zip_derived_cl28, plain, (~ (quotient @ x @ z @ zero)),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 0.24/1.06 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 0.24/1.06 thf(zip_derived_cl7, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.24/1.06 inference('cnf', [status(esa)], [closure])).
% 0.24/1.06 thf(zip_derived_cl7, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.24/1.06 inference('cnf', [status(esa)], [closure])).
% 0.24/1.06 thf(yLEz, axiom, (less_equal @ y @ z)).
% 0.24/1.06 thf(zip_derived_cl10, plain, ( (less_equal @ y @ z)),
% 0.24/1.06 inference('cnf', [status(esa)], [yLEz])).
% 0.24/1.06 thf(quotient_less_equal, axiom,
% 0.24/1.06 (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 0.24/1.06 thf(zip_derived_cl0, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]:
% 0.24/1.06 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.24/1.06 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.24/1.06 thf(zip_derived_cl23, plain, ( (quotient @ y @ z @ zero)),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.24/1.06 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.24/1.06 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.24/1.06 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.24/1.06 thf(zip_derived_cl0, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]:
% 0.24/1.06 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.24/1.06 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.24/1.06 thf(zip_derived_cl21, plain, (![X0 : $i]: (quotient @ zero @ X0 @ zero)),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.24/1.06 thf(xLEy, axiom, (less_equal @ x @ y)).
% 0.24/1.06 thf(zip_derived_cl9, plain, ( (less_equal @ x @ y)),
% 0.24/1.06 inference('cnf', [status(esa)], [xLEy])).
% 0.24/1.06 thf(zip_derived_cl0, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]:
% 0.24/1.06 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.24/1.06 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.24/1.06 thf(zip_derived_cl22, plain, ( (quotient @ x @ y @ zero)),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 0.24/1.06 thf(quotient_property, axiom,
% 0.24/1.06 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 0.24/1.06 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 0.24/1.06 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 0.24/1.06 thf(zip_derived_cl3, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.24/1.06 (~ (quotient @ X0 @ X1 @ X2)
% 0.24/1.06 | ~ (quotient @ X1 @ X3 @ X4)
% 0.24/1.06 | ~ (quotient @ X0 @ X3 @ X5)
% 0.24/1.06 | ~ (quotient @ X5 @ X4 @ X6)
% 0.24/1.06 | ~ (quotient @ X2 @ X3 @ X7)
% 0.24/1.06 | (less_equal @ X6 @ X7))),
% 0.24/1.06 inference('cnf', [status(esa)], [quotient_property])).
% 0.24/1.06 thf(zip_derived_cl195, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.24/1.06 ( (less_equal @ X1 @ X0)
% 0.24/1.06 | ~ (quotient @ zero @ X2 @ X0)
% 0.24/1.06 | ~ (quotient @ X4 @ X3 @ X1)
% 0.24/1.06 | ~ (quotient @ x @ X2 @ X4)
% 0.24/1.06 | ~ (quotient @ y @ X2 @ X3))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 0.24/1.06 thf(zip_derived_cl204, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.24/1.06 (~ (quotient @ y @ X0 @ X1)
% 0.24/1.06 | ~ (quotient @ x @ X0 @ X2)
% 0.24/1.06 | ~ (quotient @ X2 @ X1 @ X3)
% 0.24/1.06 | (less_equal @ X3 @ zero))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl195])).
% 0.24/1.06 thf(zip_derived_cl225, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]:
% 0.24/1.06 ( (less_equal @ X0 @ zero)
% 0.24/1.06 | ~ (quotient @ X1 @ zero @ X0)
% 0.24/1.06 | ~ (quotient @ x @ z @ X1))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl204])).
% 0.24/1.06 thf(zip_derived_cl226, plain,
% 0.24/1.06 (![X0 : $i]:
% 0.24/1.06 (~ (quotient @ x @ z @ X0)
% 0.24/1.06 | (less_equal @ (divide @ X0 @ zero) @ zero))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl225])).
% 0.24/1.06 thf(zip_derived_cl232, plain,
% 0.24/1.06 ( (less_equal @ (divide @ (divide @ x @ z) @ zero) @ zero)),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl226])).
% 0.24/1.06 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.24/1.06 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.24/1.06 thf(less_equal_and_equal, axiom,
% 0.24/1.06 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.24/1.06 ( ( X ) = ( Y ) ))).
% 0.24/1.06 thf(zip_derived_cl5, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]:
% 0.24/1.06 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.24/1.06 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.24/1.06 thf(zip_derived_cl13, plain,
% 0.24/1.06 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.24/1.06 thf(zip_derived_cl235, plain,
% 0.24/1.06 (((zero) = (divide @ (divide @ x @ z) @ zero))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl232, zip_derived_cl13])).
% 0.24/1.06 thf(zip_derived_cl7, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.24/1.06 inference('cnf', [status(esa)], [closure])).
% 0.24/1.06 thf(zip_derived_cl268, plain, ( (quotient @ (divide @ x @ z) @ zero @ zero)),
% 0.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl235, zip_derived_cl7])).
% 0.24/1.06 thf(zip_derived_cl1, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]:
% 0.24/1.06 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.24/1.06 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.24/1.06 thf(zip_derived_cl13, plain,
% 0.24/1.06 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.24/1.06 thf(zip_derived_cl26, plain,
% 0.24/1.06 (![X0 : $i]: (~ (quotient @ X0 @ zero @ zero) | ((zero) = (X0)))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 0.24/1.06 thf(zip_derived_cl284, plain, (((zero) = (divide @ x @ z))),
% 0.24/1.06 inference('sup-', [status(thm)], [zip_derived_cl268, zip_derived_cl26])).
% 0.24/1.06 thf(zip_derived_cl7, plain,
% 0.24/1.06 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.24/1.06 inference('cnf', [status(esa)], [closure])).
% 0.24/1.06 thf(zip_derived_cl296, plain, ( (quotient @ x @ z @ zero)),
% 0.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl7])).
% 0.24/1.06 thf(zip_derived_cl307, plain, ($false),
% 0.24/1.06 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl296])).
% 0.24/1.06
% 0.24/1.06 % SZS output end Refutation
% 0.24/1.06
% 0.24/1.06
% 0.24/1.06 % Terminating...
% 1.82/1.23 % Runner terminated.
% 1.82/1.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------