TSTP Solution File: HEN008-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN008-2 : 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.t76yMAozd3 true
% Computer : n013.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 01:57:49 EDT 2023
% Result : Unsatisfiable 6.40s 1.52s
% Output : Refutation 6.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN008-2 : 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.t76yMAozd3 true
% 0.13/0.34 % Computer : n013.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 13:18:32 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
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.40/1.52 % Solved by fo/fo5.sh.
% 6.40/1.52 % done 2666 iterations in 0.732s
% 6.40/1.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.40/1.52 % SZS output start Refutation
% 6.40/1.52 thf(a_type, type, a: $i).
% 6.40/1.52 thf(divide_type, type, divide: $i > $i > $i).
% 6.40/1.52 thf(c_type, type, c: $i).
% 6.40/1.52 thf(aQc_type, type, aQc: $i).
% 6.40/1.52 thf(bQc_type, type, bQc: $i).
% 6.40/1.52 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 6.40/1.52 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 6.40/1.52 thf(zero_type, type, zero: $i).
% 6.40/1.52 thf(b_type, type, b: $i).
% 6.40/1.52 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 6.40/1.52 thf(zip_derived_cl7, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 6.40/1.52 inference('cnf', [status(esa)], [closure])).
% 6.40/1.52 thf(aQc, axiom, (quotient @ a @ c @ aQc)).
% 6.40/1.52 thf(zip_derived_cl17, plain, ( (quotient @ a @ c @ aQc)),
% 6.40/1.52 inference('cnf', [status(esa)], [aQc])).
% 6.40/1.52 thf(bQc, axiom, (quotient @ b @ c @ bQc)).
% 6.40/1.52 thf(zip_derived_cl18, plain, ( (quotient @ b @ c @ bQc)),
% 6.40/1.52 inference('cnf', [status(esa)], [bQc])).
% 6.40/1.52 thf(zero_divide_anything_is_zero, axiom, (quotient @ zero @ X @ zero)).
% 6.40/1.52 thf(zip_derived_cl10, plain, (![X0 : $i]: (quotient @ zero @ X0 @ zero)),
% 6.40/1.52 inference('cnf', [status(esa)], [zero_divide_anything_is_zero])).
% 6.40/1.52 thf(aLEb, axiom, (less_equal @ a @ b)).
% 6.40/1.52 thf(zip_derived_cl16, plain, ( (less_equal @ a @ b)),
% 6.40/1.52 inference('cnf', [status(esa)], [aLEb])).
% 6.40/1.52 thf(quotient_less_equal, axiom,
% 6.40/1.52 (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 6.40/1.52 thf(zip_derived_cl0, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]:
% 6.40/1.52 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 6.40/1.52 inference('cnf', [status(esa)], [quotient_less_equal])).
% 6.40/1.52 thf(zip_derived_cl22, plain, ( (quotient @ a @ b @ zero)),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 6.40/1.52 thf(quotient_property, axiom,
% 6.40/1.52 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 6.40/1.52 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 6.40/1.52 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 6.40/1.52 thf(zip_derived_cl3, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 6.40/1.52 (~ (quotient @ X0 @ X1 @ X2)
% 6.40/1.52 | ~ (quotient @ X1 @ X3 @ X4)
% 6.40/1.52 | ~ (quotient @ X0 @ X3 @ X5)
% 6.40/1.52 | ~ (quotient @ X5 @ X4 @ X6)
% 6.40/1.52 | ~ (quotient @ X2 @ X3 @ X7)
% 6.40/1.52 | (less_equal @ X6 @ X7))),
% 6.40/1.52 inference('cnf', [status(esa)], [quotient_property])).
% 6.40/1.52 thf(zip_derived_cl80, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.40/1.52 ( (less_equal @ X1 @ X0)
% 6.40/1.52 | ~ (quotient @ zero @ X2 @ X0)
% 6.40/1.52 | ~ (quotient @ X4 @ X3 @ X1)
% 6.40/1.52 | ~ (quotient @ a @ X2 @ X4)
% 6.40/1.52 | ~ (quotient @ b @ X2 @ X3))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 6.40/1.52 thf(zip_derived_cl564, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.40/1.52 (~ (quotient @ b @ X0 @ X1)
% 6.40/1.52 | ~ (quotient @ a @ X0 @ X2)
% 6.40/1.52 | ~ (quotient @ X2 @ X1 @ X3)
% 6.40/1.52 | (less_equal @ X3 @ zero))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl80])).
% 6.40/1.52 thf(zip_derived_cl4517, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]:
% 6.40/1.52 ( (less_equal @ X0 @ zero)
% 6.40/1.52 | ~ (quotient @ X1 @ bQc @ X0)
% 6.40/1.52 | ~ (quotient @ a @ c @ X1))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl564])).
% 6.40/1.52 thf(zip_derived_cl5474, plain,
% 6.40/1.52 (![X0 : $i]: (~ (quotient @ aQc @ bQc @ X0) | (less_equal @ X0 @ zero))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl4517])).
% 6.40/1.52 thf(zip_derived_cl5476, plain, ( (less_equal @ (divide @ aQc @ bQc) @ zero)),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5474])).
% 6.40/1.52 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 6.40/1.52 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 6.40/1.52 inference('cnf', [status(esa)], [zero_is_smallest])).
% 6.40/1.52 thf(less_equal_and_equal, axiom,
% 6.40/1.52 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 6.40/1.52 ( ( X ) = ( Y ) ))).
% 6.40/1.52 thf(zip_derived_cl5, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]:
% 6.40/1.52 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 6.40/1.52 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 6.40/1.52 thf(zip_derived_cl24, plain,
% 6.40/1.52 (![X0 : $i]: (((zero) = (X0)) | ~ (less_equal @ X0 @ zero))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 6.40/1.52 thf(zip_derived_cl5482, plain, (((zero) = (divide @ aQc @ bQc))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl5476, zip_derived_cl24])).
% 6.40/1.52 thf(zip_derived_cl7, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 6.40/1.52 inference('cnf', [status(esa)], [closure])).
% 6.40/1.52 thf(x_divide_x_is_zero, axiom, (quotient @ X @ X @ zero)).
% 6.40/1.52 thf(zip_derived_cl11, plain, (![X0 : $i]: (quotient @ X0 @ X0 @ zero)),
% 6.40/1.52 inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 6.40/1.52 thf(less_equal_quotient, axiom,
% 6.40/1.52 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 6.40/1.52 thf(zip_derived_cl1, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]:
% 6.40/1.52 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 6.40/1.52 inference('cnf', [status(esa)], [less_equal_quotient])).
% 6.40/1.52 thf(zip_derived_cl29, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 6.40/1.52 thf(zip_derived_cl7, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 6.40/1.52 inference('cnf', [status(esa)], [closure])).
% 6.40/1.52 thf(xQyLEz_implies_xQzLEy, axiom,
% 6.40/1.52 (( ~( quotient @ X @ Y @ W1 ) ) | ( ~( less_equal @ W1 @ Z ) ) |
% 6.40/1.52 ( ~( quotient @ X @ Z @ W2 ) ) | ( less_equal @ W2 @ Y ))).
% 6.40/1.52 thf(zip_derived_cl14, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.40/1.52 (~ (quotient @ X0 @ X1 @ X2)
% 6.40/1.52 | ~ (less_equal @ X2 @ X3)
% 6.40/1.52 | ~ (quotient @ X0 @ X3 @ X4)
% 6.40/1.52 | (less_equal @ X4 @ X1))),
% 6.40/1.52 inference('cnf', [status(esa)], [xQyLEz_implies_xQzLEy])).
% 6.40/1.52 thf(zip_derived_cl57, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.40/1.52 ( (less_equal @ X2 @ X0)
% 6.40/1.52 | ~ (quotient @ X1 @ X3 @ X2)
% 6.40/1.52 | ~ (less_equal @ (divide @ X1 @ X0) @ X3))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl14])).
% 6.40/1.52 thf(zip_derived_cl233, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.40/1.52 (~ (quotient @ X1 @ (divide @ X1 @ X0) @ X2) | (less_equal @ X2 @ X0))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl57])).
% 6.40/1.52 thf(zip_derived_cl799, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]:
% 6.40/1.52 (less_equal @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0)),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl233])).
% 6.40/1.52 thf(zip_derived_cl5504, plain, ( (less_equal @ (divide @ aQc @ zero) @ bQc)),
% 6.40/1.52 inference('sup+', [status(thm)], [zip_derived_cl5482, zip_derived_cl799])).
% 6.40/1.52 thf(zip_derived_cl7, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 6.40/1.52 inference('cnf', [status(esa)], [closure])).
% 6.40/1.52 thf(x_divde_zero_is_x, axiom, (quotient @ X @ zero @ X)).
% 6.40/1.52 thf(zip_derived_cl12, plain, (![X0 : $i]: (quotient @ X0 @ zero @ X0)),
% 6.40/1.52 inference('cnf', [status(esa)], [x_divde_zero_is_x])).
% 6.40/1.52 thf(well_defined, axiom,
% 6.40/1.52 (( ~( quotient @ X @ Y @ Z ) ) | ( ~( quotient @ X @ Y @ W ) ) |
% 6.40/1.52 ( ( Z ) = ( W ) ))).
% 6.40/1.52 thf(zip_derived_cl8, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.40/1.52 (~ (quotient @ X0 @ X1 @ X2)
% 6.40/1.52 | ~ (quotient @ X0 @ X1 @ X3)
% 6.40/1.52 | ((X2) = (X3)))),
% 6.40/1.52 inference('cnf', [status(esa)], [well_defined])).
% 6.40/1.52 thf(zip_derived_cl49, plain,
% 6.40/1.52 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (quotient @ X0 @ zero @ X1))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 6.40/1.52 thf(zip_derived_cl155, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 6.40/1.52 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl49])).
% 6.40/1.52 thf(prove_aQcLEbQc, conjecture, (less_equal @ aQc @ bQc)).
% 6.40/1.52 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ aQc @ bQc )),
% 6.40/1.52 inference('cnf.neg', [status(esa)], [prove_aQcLEbQc])).
% 6.40/1.52 thf(zip_derived_cl19, plain, (~ (less_equal @ aQc @ bQc)),
% 6.40/1.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.40/1.52 thf(zip_derived_cl5526, plain, ($false),
% 6.40/1.52 inference('demod', [status(thm)],
% 6.40/1.52 [zip_derived_cl5504, zip_derived_cl155, zip_derived_cl19])).
% 6.40/1.52
% 6.40/1.52 % SZS output end Refutation
% 6.40/1.52
% 6.40/1.52
% 6.40/1.52 % Terminating...
% 6.40/1.57 % Runner terminated.
% 6.40/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------