TSTP Solution File: HEN007-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN007-6 : 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.tPnPehEmnK true
% Computer : n012.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 2.91s 1.05s
% Output : Refutation 2.91s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN007-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tPnPehEmnK true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 13:30:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /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/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.91/1.05 % Solved by fo/fo13.sh.
% 2.91/1.05 % done 752 iterations in 0.269s
% 2.91/1.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.91/1.05 % SZS output start Refutation
% 2.91/1.05 thf(zQy_type, type, zQy: $i).
% 2.91/1.05 thf(divide_type, type, divide: $i > $i > $i).
% 2.91/1.05 thf(z_type, type, z: $i).
% 2.91/1.05 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 2.91/1.05 thf(zQx_type, type, zQx: $i).
% 2.91/1.05 thf(y_type, type, y: $i).
% 2.91/1.05 thf(x_type, type, x: $i).
% 2.91/1.05 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 2.91/1.05 thf(zero_type, type, zero: $i).
% 2.91/1.05 thf(prove_zQyLEzQx, conjecture, (less_equal @ zQy @ zQx)).
% 2.91/1.05 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ zQy @ zQx )),
% 2.91/1.05 inference('cnf.neg', [status(esa)], [prove_zQyLEzQx])).
% 2.91/1.05 thf(zip_derived_cl17, plain, (~ (less_equal @ zQy @ zQx)),
% 2.91/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.91/1.05 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 2.91/1.05 thf(zip_derived_cl7, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 2.91/1.05 inference('cnf', [status(esa)], [closure])).
% 2.91/1.05 thf(divisor_existence, axiom,
% 2.91/1.05 (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 2.91/1.05 thf(zip_derived_cl2, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.91/1.05 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 2.91/1.05 inference('cnf', [status(esa)], [divisor_existence])).
% 2.91/1.05 thf(zip_derived_cl32, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X1 @ X0) @ X1)),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 2.91/1.05 thf(zip_derived_cl7, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 2.91/1.05 inference('cnf', [status(esa)], [closure])).
% 2.91/1.05 thf(x_divde_zero_is_x, axiom, (quotient @ X @ zero @ X)).
% 2.91/1.05 thf(zip_derived_cl12, plain, (![X0 : $i]: (quotient @ X0 @ zero @ X0)),
% 2.91/1.05 inference('cnf', [status(esa)], [x_divde_zero_is_x])).
% 2.91/1.05 thf(zQy, axiom, (quotient @ z @ y @ zQy)).
% 2.91/1.05 thf(zip_derived_cl15, plain, ( (quotient @ z @ y @ zQy)),
% 2.91/1.05 inference('cnf', [status(esa)], [zQy])).
% 2.91/1.05 thf(zip_derived_cl7, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 2.91/1.05 inference('cnf', [status(esa)], [closure])).
% 2.91/1.05 thf(zQx, axiom, (quotient @ z @ x @ zQx)).
% 2.91/1.05 thf(zip_derived_cl16, plain, ( (quotient @ z @ x @ zQx)),
% 2.91/1.05 inference('cnf', [status(esa)], [zQx])).
% 2.91/1.05 thf(quotient_property, axiom,
% 2.91/1.05 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 2.91/1.05 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 2.91/1.05 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 2.91/1.05 thf(zip_derived_cl3, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 2.91/1.05 (~ (quotient @ X0 @ X1 @ X2)
% 2.91/1.05 | ~ (quotient @ X1 @ X3 @ X4)
% 2.91/1.05 | ~ (quotient @ X0 @ X3 @ X5)
% 2.91/1.05 | ~ (quotient @ X5 @ X4 @ X6)
% 2.91/1.05 | ~ (quotient @ X2 @ X3 @ X7)
% 2.91/1.05 | (less_equal @ X6 @ X7))),
% 2.91/1.05 inference('cnf', [status(esa)], [quotient_property])).
% 2.91/1.05 thf(zip_derived_cl58, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.91/1.05 (~ (quotient @ x @ X1 @ X0)
% 2.91/1.05 | ~ (quotient @ z @ X1 @ X2)
% 2.91/1.05 | ~ (quotient @ X2 @ X0 @ X3)
% 2.91/1.05 | ~ (quotient @ zQx @ X1 @ X4)
% 2.91/1.05 | (less_equal @ X3 @ X4))),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl3])).
% 2.91/1.05 thf(zip_derived_cl276, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.91/1.05 (~ (quotient @ z @ X0 @ X1)
% 2.91/1.05 | ~ (quotient @ X1 @ (divide @ x @ X0) @ X2)
% 2.91/1.05 | ~ (quotient @ zQx @ X0 @ X3)
% 2.91/1.05 | (less_equal @ X2 @ X3))),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl58])).
% 2.91/1.05 thf(zip_derived_cl1423, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i]:
% 2.91/1.05 (~ (quotient @ zQy @ (divide @ x @ y) @ X0)
% 2.91/1.05 | ~ (quotient @ zQx @ y @ X1)
% 2.91/1.05 | (less_equal @ X0 @ X1))),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl276])).
% 2.91/1.05 thf(xLEy, axiom, (less_equal @ x @ y)).
% 2.91/1.05 thf(zip_derived_cl14, plain, ( (less_equal @ x @ y)),
% 2.91/1.05 inference('cnf', [status(esa)], [xLEy])).
% 2.91/1.05 thf(quotient_less_equal, axiom,
% 2.91/1.05 (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 2.91/1.05 thf(zip_derived_cl0, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i]:
% 2.91/1.05 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 2.91/1.05 inference('cnf', [status(esa)], [quotient_less_equal])).
% 2.91/1.05 thf(zip_derived_cl25, plain, ( (quotient @ x @ y @ zero)),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 2.91/1.05 thf(zip_derived_cl7, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 2.91/1.05 inference('cnf', [status(esa)], [closure])).
% 2.91/1.05 thf(well_defined, axiom,
% 2.91/1.05 (( ~( quotient @ X @ Y @ Z ) ) | ( ~( quotient @ X @ Y @ W ) ) |
% 2.91/1.05 ( ( Z ) = ( W ) ))).
% 2.91/1.05 thf(zip_derived_cl8, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.91/1.05 (~ (quotient @ X0 @ X1 @ X2)
% 2.91/1.05 | ~ (quotient @ X0 @ X1 @ X3)
% 2.91/1.05 | ((X2) = (X3)))),
% 2.91/1.05 inference('cnf', [status(esa)], [well_defined])).
% 2.91/1.05 thf(zip_derived_cl42, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.91/1.05 (~ (quotient @ X1 @ X0 @ X2) | ((divide @ X1 @ X0) = (X2)))),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 2.91/1.05 thf(zip_derived_cl121, plain, (((divide @ x @ y) = (zero))),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl42])).
% 2.91/1.05 thf(zip_derived_cl1431, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i]:
% 2.91/1.05 (~ (quotient @ zQy @ zero @ X0)
% 2.91/1.05 | ~ (quotient @ zQx @ y @ X1)
% 2.91/1.05 | (less_equal @ X0 @ X1))),
% 2.91/1.05 inference('demod', [status(thm)], [zip_derived_cl1423, zip_derived_cl121])).
% 2.91/1.05 thf(zip_derived_cl1627, plain,
% 2.91/1.05 (![X0 : $i]: (~ (quotient @ zQx @ y @ X0) | (less_equal @ zQy @ X0))),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl1431])).
% 2.91/1.05 thf(zip_derived_cl1643, plain, ( (less_equal @ zQy @ (divide @ zQx @ y))),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1627])).
% 2.91/1.05 thf(transitivity_of_less_equal, axiom,
% 2.91/1.05 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ Z ) ) |
% 2.91/1.05 ( less_equal @ X @ Z ))).
% 2.91/1.05 thf(zip_derived_cl13, plain,
% 2.91/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.91/1.05 (~ (less_equal @ X0 @ X1)
% 2.91/1.05 | ~ (less_equal @ X1 @ X2)
% 2.91/1.05 | (less_equal @ X0 @ X2))),
% 2.91/1.05 inference('cnf', [status(esa)], [transitivity_of_less_equal])).
% 2.91/1.05 thf(zip_derived_cl1646, plain,
% 2.91/1.05 (![X0 : $i]:
% 2.91/1.05 (~ (less_equal @ (divide @ zQx @ y) @ X0) | (less_equal @ zQy @ X0))),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl13])).
% 2.91/1.05 thf(zip_derived_cl1650, plain, ( (less_equal @ zQy @ zQx)),
% 2.91/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1646])).
% 2.91/1.05 thf(zip_derived_cl1652, plain, ($false),
% 2.91/1.05 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl1650])).
% 2.91/1.05
% 2.91/1.05 % SZS output end Refutation
% 2.91/1.05
% 2.91/1.05
% 2.91/1.05 % Terminating...
% 3.43/1.15 % Runner terminated.
% 3.43/1.16 % Zipperpin 1.5 exiting
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