TSTP Solution File: HEN009-4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XEOnF54ex7 true
% Computer : n006.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 01:57:51 EDT 2023
% Result : Unsatisfiable 6.74s 1.57s
% Output : Refutation 6.74s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XEOnF54ex7 true
% 0.11/0.34 % Computer : n006.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Thu Aug 24 13:25:37 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.19/0.60 % Total configuration time : 435
% 0.19/0.60 % Estimated wc time : 1092
% 0.19/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 6.74/1.57 % Solved by fo/fo5.sh.
% 6.74/1.57 % done 555 iterations in 0.805s
% 6.74/1.57 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.74/1.57 % SZS output start Refutation
% 6.74/1.57 thf(zero_type, type, zero: $i).
% 6.74/1.57 thf(divide_type, type, divide: $i > $i > $i).
% 6.74/1.57 thf(a_type, type, a: $i).
% 6.74/1.57 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 6.74/1.57 thf(identity_type, type, identity: $i).
% 6.74/1.57 thf(prove_this, conjecture,
% 6.74/1.57 (( divide @ identity @ a ) =
% 6.74/1.57 ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) ))).
% 6.74/1.57 thf(zf_stmt_0, negated_conjecture,
% 6.74/1.57 (( divide @ identity @ a ) !=
% 6.74/1.57 ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) )),
% 6.74/1.57 inference('cnf.neg', [status(esa)], [prove_this])).
% 6.74/1.57 thf(zip_derived_cl15, plain,
% 6.74/1.57 (((divide @ identity @ a)
% 6.74/1.57 != (divide @ identity @ (divide @ identity @ (divide @ identity @ a))))),
% 6.74/1.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.74/1.57 thf(x_divide_x_is_zero, axiom, (( divide @ X @ X ) = ( zero ))).
% 6.74/1.57 thf(zip_derived_cl9, plain, (![X0 : $i]: ((divide @ X0 @ X0) = (zero))),
% 6.74/1.57 inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 6.74/1.57 thf(quotient_less_equal2, axiom,
% 6.74/1.57 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 6.74/1.57 thf(zip_derived_cl1, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i]:
% 6.74/1.57 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 6.74/1.57 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 6.74/1.57 thf(zip_derived_cl31, plain,
% 6.74/1.57 (![X0 : $i]: (((zero) != (zero)) | (less_equal @ X0 @ X0))),
% 6.74/1.57 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 6.74/1.57 thf(zip_derived_cl36, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 6.74/1.57 inference('simplify', [status(thm)], [zip_derived_cl31])).
% 6.74/1.57 thf(property_of_divide1, axiom,
% 6.74/1.57 (( ~( less_equal @ ( divide @ X @ Y ) @ Z ) ) |
% 6.74/1.57 ( less_equal @ ( divide @ X @ Z ) @ Y ))).
% 6.74/1.57 thf(zip_derived_cl12, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.74/1.57 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 6.74/1.57 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 6.74/1.57 inference('cnf', [status(esa)], [property_of_divide1])).
% 6.74/1.57 thf(zip_derived_cl81, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i]:
% 6.74/1.57 (less_equal @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0)),
% 6.74/1.57 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl12])).
% 6.74/1.57 thf(property_of_divide2, axiom,
% 6.74/1.57 (( ~( less_equal @ X @ Y ) ) |
% 6.74/1.57 ( less_equal @ ( divide @ Z @ Y ) @ ( divide @ Z @ X ) ))).
% 6.74/1.57 thf(zip_derived_cl13, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.74/1.57 (~ (less_equal @ X0 @ X1)
% 6.74/1.57 | (less_equal @ (divide @ X2 @ X1) @ (divide @ X2 @ X0)))),
% 6.74/1.57 inference('cnf', [status(esa)], [property_of_divide2])).
% 6.74/1.57 thf(zip_derived_cl309, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.74/1.57 (less_equal @ (divide @ X2 @ X0) @
% 6.74/1.57 (divide @ X2 @ (divide @ X1 @ (divide @ X1 @ X0))))),
% 6.74/1.57 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl13])).
% 6.74/1.57 thf(identity_is_largest, axiom, (less_equal @ X @ identity)).
% 6.74/1.57 thf(zip_derived_cl6, plain, (![X0 : $i]: (less_equal @ X0 @ identity)),
% 6.74/1.57 inference('cnf', [status(esa)], [identity_is_largest])).
% 6.74/1.57 thf(property_of_divide3, axiom,
% 6.74/1.57 (( ~( less_equal @ X @ Y ) ) |
% 6.74/1.57 ( less_equal @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ))).
% 6.74/1.57 thf(zip_derived_cl14, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.74/1.57 (~ (less_equal @ X0 @ X1)
% 6.74/1.57 | (less_equal @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)))),
% 6.74/1.57 inference('cnf', [status(esa)], [property_of_divide3])).
% 6.74/1.57 thf(zip_derived_cl71, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i]:
% 6.74/1.57 (less_equal @ (divide @ X0 @ X1) @ (divide @ identity @ X1))),
% 6.74/1.57 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 6.74/1.57 thf(zip_derived_cl12, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.74/1.57 (~ (less_equal @ (divide @ X0 @ X1) @ X2)
% 6.74/1.57 | (less_equal @ (divide @ X0 @ X2) @ X1))),
% 6.74/1.57 inference('cnf', [status(esa)], [property_of_divide1])).
% 6.74/1.57 thf(zip_derived_cl215, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i]:
% 6.74/1.57 (less_equal @ (divide @ X1 @ (divide @ identity @ X0)) @ X0)),
% 6.74/1.57 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl12])).
% 6.74/1.57 thf(less_equal_and_equal, axiom,
% 6.74/1.57 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 6.74/1.57 ( ( X ) = ( Y ) ))).
% 6.74/1.57 thf(zip_derived_cl5, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i]:
% 6.74/1.57 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 6.74/1.57 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 6.74/1.57 thf(zip_derived_cl721, plain,
% 6.74/1.57 (![X0 : $i, X1 : $i]:
% 6.74/1.57 (((divide @ X1 @ (divide @ identity @ X0)) = (X0))
% 6.74/1.57 | ~ (less_equal @ X0 @ (divide @ X1 @ (divide @ identity @ X0))))),
% 6.74/1.57 inference('sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl5])).
% 6.74/1.57 thf(zip_derived_cl4432, plain,
% 6.74/1.57 (![X0 : $i]:
% 6.74/1.57 ((divide @ identity @ (divide @ identity @ (divide @ identity @ X0)))
% 6.74/1.57 = (divide @ identity @ X0))),
% 6.74/1.57 inference('sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl721])).
% 6.74/1.57 thf(zip_derived_cl4502, plain,
% 6.74/1.57 (((divide @ identity @ a) != (divide @ identity @ a))),
% 6.74/1.57 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl4432])).
% 6.74/1.57 thf(zip_derived_cl4503, plain, ($false),
% 6.74/1.57 inference('simplify', [status(thm)], [zip_derived_cl4502])).
% 6.74/1.57
% 6.74/1.57 % SZS output end Refutation
% 6.74/1.57
% 6.74/1.57
% 6.74/1.57 % Terminating...
% 6.74/1.64 % Runner terminated.
% 6.74/1.65 % Zipperpin 1.5 exiting
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