TSTP Solution File: HEN007-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rDvQWCp5gB true
% Computer : n011.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 01:57:47 EDT 2023
% Result : Unsatisfiable 1.53s 0.83s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rDvQWCp5gB true
% 0.13/0.34 % Computer : n011.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 13:26:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.53/0.83 % Solved by fo/fo5.sh.
% 1.53/0.83 % done 239 iterations in 0.053s
% 1.53/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.53/0.83 % SZS output start Refutation
% 1.53/0.83 thf(divide_type, type, divide: $i > $i > $i).
% 1.53/0.83 thf(zQx_type, type, zQx: $i).
% 1.53/0.83 thf(zQy_type, type, zQy: $i).
% 1.53/0.83 thf(y_type, type, y: $i).
% 1.53/0.83 thf(z_type, type, z: $i).
% 1.53/0.83 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.53/0.83 thf(x_type, type, x: $i).
% 1.53/0.83 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 1.53/0.83 thf(zero_type, type, zero: $i).
% 1.53/0.83 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 1.53/0.83 thf(zip_derived_cl7, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.53/0.83 inference('cnf', [status(esa)], [closure])).
% 1.53/0.83 thf(xLEy, axiom, (less_equal @ x @ y)).
% 1.53/0.83 thf(zip_derived_cl15, plain, ( (less_equal @ x @ y)),
% 1.53/0.83 inference('cnf', [status(esa)], [xLEy])).
% 1.53/0.83 thf(x_divide_x_is_zero, axiom, (quotient @ X @ X @ zero)).
% 1.53/0.83 thf(zip_derived_cl11, plain, (![X0 : $i]: (quotient @ X0 @ X0 @ zero)),
% 1.53/0.83 inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 1.53/0.83 thf(less_equal_quotient, axiom,
% 1.53/0.83 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 1.53/0.83 thf(zip_derived_cl1, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i]:
% 1.53/0.83 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 1.53/0.83 inference('cnf', [status(esa)], [less_equal_quotient])).
% 1.53/0.83 thf(zip_derived_cl28, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.53/0.83 thf(zip_derived_cl7, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.53/0.83 inference('cnf', [status(esa)], [closure])).
% 1.53/0.83 thf(zQx, axiom, (quotient @ z @ x @ zQx)).
% 1.53/0.83 thf(zip_derived_cl17, plain, ( (quotient @ z @ x @ zQx)),
% 1.53/0.83 inference('cnf', [status(esa)], [zQx])).
% 1.53/0.83 thf(xQyLEz_implies_xQzLEy, axiom,
% 1.53/0.83 (( ~( quotient @ X @ Y @ W1 ) ) | ( ~( less_equal @ W1 @ Z ) ) |
% 1.53/0.83 ( ~( quotient @ X @ Z @ W2 ) ) | ( less_equal @ W2 @ Y ))).
% 1.53/0.83 thf(zip_derived_cl14, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.83 (~ (quotient @ X0 @ X1 @ X2)
% 1.53/0.83 | ~ (less_equal @ X2 @ X3)
% 1.53/0.83 | ~ (quotient @ X0 @ X3 @ X4)
% 1.53/0.83 | (less_equal @ X4 @ X1))),
% 1.53/0.83 inference('cnf', [status(esa)], [xQyLEz_implies_xQzLEy])).
% 1.53/0.83 thf(zip_derived_cl61, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i]:
% 1.53/0.83 ( (less_equal @ X0 @ x)
% 1.53/0.83 | ~ (quotient @ z @ X1 @ X0)
% 1.53/0.83 | ~ (less_equal @ zQx @ X1))),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl14])).
% 1.53/0.83 thf(zip_derived_cl274, plain,
% 1.53/0.83 (![X0 : $i]:
% 1.53/0.83 (~ (less_equal @ zQx @ X0) | (less_equal @ (divide @ z @ X0) @ x))),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl61])).
% 1.53/0.83 thf(zip_derived_cl288, plain, ( (less_equal @ (divide @ z @ zQx) @ x)),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl274])).
% 1.53/0.83 thf(transitivity_of_less_equal, axiom,
% 1.53/0.83 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ Z ) ) |
% 1.53/0.83 ( less_equal @ X @ Z ))).
% 1.53/0.83 thf(zip_derived_cl13, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.83 (~ (less_equal @ X0 @ X1)
% 1.53/0.83 | ~ (less_equal @ X1 @ X2)
% 1.53/0.83 | (less_equal @ X0 @ X2))),
% 1.53/0.83 inference('cnf', [status(esa)], [transitivity_of_less_equal])).
% 1.53/0.83 thf(zip_derived_cl295, plain,
% 1.53/0.83 (![X0 : $i]:
% 1.53/0.83 ( (less_equal @ (divide @ z @ zQx) @ X0) | ~ (less_equal @ x @ X0))),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl13])).
% 1.53/0.83 thf(zip_derived_cl404, plain, ( (less_equal @ (divide @ z @ zQx) @ y)),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl295])).
% 1.53/0.83 thf(zip_derived_cl7, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.53/0.83 inference('cnf', [status(esa)], [closure])).
% 1.53/0.83 thf(zip_derived_cl14, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.83 (~ (quotient @ X0 @ X1 @ X2)
% 1.53/0.83 | ~ (less_equal @ X2 @ X3)
% 1.53/0.83 | ~ (quotient @ X0 @ X3 @ X4)
% 1.53/0.83 | (less_equal @ X4 @ X1))),
% 1.53/0.83 inference('cnf', [status(esa)], [xQyLEz_implies_xQzLEy])).
% 1.53/0.83 thf(zip_derived_cl56, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.83 ( (less_equal @ X2 @ X0)
% 1.53/0.83 | ~ (quotient @ X1 @ X3 @ X2)
% 1.53/0.83 | ~ (less_equal @ (divide @ X1 @ X0) @ X3))),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl14])).
% 1.53/0.83 thf(zip_derived_cl408, plain,
% 1.53/0.83 (![X0 : $i]: (~ (quotient @ z @ y @ X0) | (less_equal @ X0 @ zQx))),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl56])).
% 1.53/0.83 thf(zip_derived_cl409, plain, ( (less_equal @ (divide @ z @ y) @ zQx)),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl408])).
% 1.53/0.83 thf(zip_derived_cl7, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.53/0.83 inference('cnf', [status(esa)], [closure])).
% 1.53/0.83 thf(zQy, axiom, (quotient @ z @ y @ zQy)).
% 1.53/0.83 thf(zip_derived_cl16, plain, ( (quotient @ z @ y @ zQy)),
% 1.53/0.83 inference('cnf', [status(esa)], [zQy])).
% 1.53/0.83 thf(well_defined, axiom,
% 1.53/0.83 (( ~( quotient @ X @ Y @ Z ) ) | ( ~( quotient @ X @ Y @ W ) ) |
% 1.53/0.83 ( ( Z ) = ( W ) ))).
% 1.53/0.83 thf(zip_derived_cl8, plain,
% 1.53/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.83 (~ (quotient @ X0 @ X1 @ X2)
% 1.53/0.83 | ~ (quotient @ X0 @ X1 @ X3)
% 1.53/0.83 | ((X2) = (X3)))),
% 1.53/0.83 inference('cnf', [status(esa)], [well_defined])).
% 1.53/0.83 thf(zip_derived_cl53, plain,
% 1.53/0.83 (![X0 : $i]: (((zQy) = (X0)) | ~ (quotient @ z @ y @ X0))),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl8])).
% 1.53/0.83 thf(zip_derived_cl127, plain, (((zQy) = (divide @ z @ y))),
% 1.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl53])).
% 1.53/0.83 thf(prove_zQyLEzQx, conjecture, (less_equal @ zQy @ zQx)).
% 1.53/0.83 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ zQy @ zQx )),
% 1.53/0.83 inference('cnf.neg', [status(esa)], [prove_zQyLEzQx])).
% 1.53/0.83 thf(zip_derived_cl18, plain, (~ (less_equal @ zQy @ zQx)),
% 1.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.53/0.83 thf(zip_derived_cl411, plain, ($false),
% 1.53/0.83 inference('demod', [status(thm)],
% 1.53/0.83 [zip_derived_cl409, zip_derived_cl127, zip_derived_cl18])).
% 1.53/0.83
% 1.53/0.83 % SZS output end Refutation
% 1.53/0.83
% 1.53/0.83
% 1.53/0.83 % Terminating...
% 1.53/0.89 % Runner terminated.
% 1.53/0.91 % Zipperpin 1.5 exiting
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