TSTP Solution File: HEN005-3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN005-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Au7lCgO4sq true
% Computer : n018.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 01:57:45 EDT 2023
% Result : Unsatisfiable 1.26s 0.81s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Au7lCgO4sq true
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 13:36:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.26/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.26/0.81 % Solved by fo/fo6_bce.sh.
% 1.26/0.81 % BCE start: 10
% 1.26/0.81 % BCE eliminated: 0
% 1.26/0.81 % PE start: 10
% 1.26/0.81 logic: eq
% 1.26/0.81 % PE eliminated: 0
% 1.26/0.81 % done 87 iterations in 0.089s
% 1.26/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.26/0.81 % SZS output start Refutation
% 1.26/0.81 thf(zero_type, type, zero: $i).
% 1.26/0.81 thf(divide_type, type, divide: $i > $i > $i).
% 1.26/0.81 thf(b_type, type, b: $i).
% 1.26/0.81 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.26/0.81 thf(c_type, type, c: $i).
% 1.26/0.81 thf(a_type, type, a: $i).
% 1.26/0.81 thf(b_LE_c, axiom, (less_equal @ b @ c)).
% 1.26/0.81 thf(zip_derived_cl8, plain, ( (less_equal @ b @ c)),
% 1.26/0.81 inference('cnf', [status(esa)], [b_LE_c])).
% 1.26/0.81 thf(quotient_less_equal1, axiom,
% 1.26/0.81 (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 1.26/0.81 thf(zip_derived_cl0, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i]:
% 1.26/0.81 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.26/0.81 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.26/0.81 thf(zip_derived_cl0, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i]:
% 1.26/0.81 (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 1.26/0.81 inference('cnf', [status(esa)], [quotient_less_equal1])).
% 1.26/0.81 thf(quotient_property, axiom,
% 1.26/0.81 (less_equal @
% 1.26/0.81 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 1.26/0.81 ( divide @ ( divide @ X @ Y ) @ Z ))).
% 1.26/0.81 thf(zip_derived_cl3, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.81 (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 1.26/0.81 (divide @ (divide @ X0 @ X2) @ X1))),
% 1.26/0.81 inference('cnf', [status(esa)], [quotient_property])).
% 1.26/0.81 thf(less_equal_and_equal, axiom,
% 1.26/0.81 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 1.26/0.81 ( ( X ) = ( Y ) ))).
% 1.26/0.81 thf(zip_derived_cl5, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i]:
% 1.26/0.81 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.26/0.81 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.26/0.81 thf(zip_derived_cl46, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.81 (~ (less_equal @ (divide @ (divide @ X2 @ X1) @ X0) @
% 1.26/0.81 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 1.26/0.81 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 1.26/0.81 = (divide @ (divide @ X2 @ X1) @ X0)))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 1.26/0.81 thf(zip_derived_cl75, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.81 (~ (less_equal @ X2 @ X1)
% 1.26/0.81 | ~ (less_equal @ (divide @ zero @ X0) @
% 1.26/0.81 (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 1.26/0.81 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 1.26/0.81 = (divide @ zero @ X0)))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl46])).
% 1.26/0.81 thf(quotient_smaller_than_numerator, axiom,
% 1.26/0.81 (less_equal @ ( divide @ X @ Y ) @ X)).
% 1.26/0.81 thf(zip_derived_cl2, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X0 @ X1) @ X0)),
% 1.26/0.81 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.26/0.81 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 1.26/0.81 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.26/0.81 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.26/0.81 thf(zip_derived_cl5, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i]:
% 1.26/0.81 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.26/0.81 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.26/0.81 thf(zip_derived_cl37, plain,
% 1.26/0.81 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.26/0.81 thf(zip_derived_cl54, plain, (![X0 : $i]: ((zero) = (divide @ zero @ X0))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl37])).
% 1.26/0.81 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.26/0.81 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.26/0.81 thf(zip_derived_cl54, plain, (![X0 : $i]: ((zero) = (divide @ zero @ X0))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl37])).
% 1.26/0.81 thf(zip_derived_cl80, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.81 (~ (less_equal @ X2 @ X1)
% 1.26/0.81 | ((divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)) = (zero)))),
% 1.26/0.81 inference('demod', [status(thm)],
% 1.26/0.81 [zip_derived_cl75, zip_derived_cl54, zip_derived_cl4,
% 1.26/0.81 zip_derived_cl54])).
% 1.26/0.81 thf(quotient_less_equal2, axiom,
% 1.26/0.81 (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 1.26/0.81 thf(zip_derived_cl1, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i]:
% 1.26/0.81 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.26/0.81 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.26/0.81 thf(zip_derived_cl82, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.81 (~ (less_equal @ X2 @ X1)
% 1.26/0.81 | ((zero) != (zero))
% 1.26/0.81 | (less_equal @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl1])).
% 1.26/0.81 thf(zip_derived_cl104, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.81 ( (less_equal @ (divide @ X2 @ X0) @ (divide @ X1 @ X0))
% 1.26/0.81 | ~ (less_equal @ X2 @ X1))),
% 1.26/0.81 inference('simplify', [status(thm)], [zip_derived_cl82])).
% 1.26/0.81 thf(zip_derived_cl130, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.81 (~ (less_equal @ X1 @ X0)
% 1.26/0.81 | (less_equal @ (divide @ X2 @ X0) @ zero)
% 1.26/0.81 | ~ (less_equal @ X2 @ X1))),
% 1.26/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl104])).
% 1.26/0.81 thf(zip_derived_cl144, plain,
% 1.26/0.81 (![X0 : $i]:
% 1.26/0.81 ( (less_equal @ (divide @ X0 @ c) @ zero) | ~ (less_equal @ X0 @ b))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl130])).
% 1.26/0.81 thf(zip_derived_cl37, plain,
% 1.26/0.81 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.26/0.81 thf(zip_derived_cl682, plain,
% 1.26/0.81 (![X0 : $i]: (~ (less_equal @ X0 @ b) | ((zero) = (divide @ X0 @ c)))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl37])).
% 1.26/0.81 thf(zip_derived_cl1, plain,
% 1.26/0.81 (![X0 : $i, X1 : $i]:
% 1.26/0.81 (((divide @ X0 @ X1) != (zero)) | (less_equal @ X0 @ X1))),
% 1.26/0.81 inference('cnf', [status(esa)], [quotient_less_equal2])).
% 1.26/0.81 thf(zip_derived_cl691, plain,
% 1.26/0.81 (![X0 : $i]:
% 1.26/0.81 (~ (less_equal @ X0 @ b) | ((zero) != (zero)) | (less_equal @ X0 @ c))),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl682, zip_derived_cl1])).
% 1.26/0.81 thf(zip_derived_cl732, plain,
% 1.26/0.81 (![X0 : $i]: ( (less_equal @ X0 @ c) | ~ (less_equal @ X0 @ b))),
% 1.26/0.81 inference('simplify', [status(thm)], [zip_derived_cl691])).
% 1.26/0.81 thf(prove_a_LE_c, conjecture, (less_equal @ a @ c)).
% 1.26/0.81 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ a @ c )),
% 1.26/0.81 inference('cnf.neg', [status(esa)], [prove_a_LE_c])).
% 1.26/0.81 thf(zip_derived_cl9, plain, (~ (less_equal @ a @ c)),
% 1.26/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.26/0.81 thf(zip_derived_cl753, plain, (~ (less_equal @ a @ b)),
% 1.26/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl732, zip_derived_cl9])).
% 1.26/0.81 thf(a_LE_b, axiom, (less_equal @ a @ b)).
% 1.26/0.81 thf(zip_derived_cl7, plain, ( (less_equal @ a @ b)),
% 1.26/0.81 inference('cnf', [status(esa)], [a_LE_b])).
% 1.26/0.81 thf(zip_derived_cl754, plain, ($false),
% 1.26/0.81 inference('demod', [status(thm)], [zip_derived_cl753, zip_derived_cl7])).
% 1.26/0.81
% 1.26/0.81 % SZS output end Refutation
% 1.26/0.81
% 1.26/0.81
% 1.26/0.82 % Terminating...
% 1.57/0.85 % Runner terminated.
% 1.57/0.86 % Zipperpin 1.5 exiting
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