TSTP Solution File: HEN003-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN003-1 : 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.oHpL7klA8p true
% Computer : n025.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 01:57:41 EDT 2023
% Result : Unsatisfiable 1.72s 0.81s
% Output : Refutation 1.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HEN003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oHpL7klA8p true
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Aug 24 13:40:21 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.72/0.81 % Solved by fo/fo13.sh.
% 1.72/0.81 % done 109 iterations in 0.072s
% 1.72/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.72/0.81 % SZS output start Refutation
% 1.72/0.81 thf(divide_type, type, divide: $i > $i > $i).
% 1.72/0.81 thf(x_type, type, x: $i).
% 1.72/0.81 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.72/0.81 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 1.72/0.81 thf(zero_type, type, zero: $i).
% 1.72/0.81 thf(prove_x_divide_x_is_zero, conjecture, (quotient @ x @ x @ zero)).
% 1.72/0.81 thf(zf_stmt_0, negated_conjecture, (~( quotient @ x @ x @ zero )),
% 1.72/0.81 inference('cnf.neg', [status(esa)], [prove_x_divide_x_is_zero])).
% 1.72/0.81 thf(zip_derived_cl9, plain, (~ (quotient @ x @ x @ zero)),
% 1.72/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.72/0.81 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 1.72/0.81 thf(zip_derived_cl7, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.72/0.81 inference('cnf', [status(esa)], [closure])).
% 1.72/0.81 thf(zip_derived_cl7, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.72/0.81 inference('cnf', [status(esa)], [closure])).
% 1.72/0.81 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 1.72/0.81 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.72/0.81 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.72/0.81 thf(quotient_less_equal, axiom,
% 1.72/0.81 (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 1.72/0.81 thf(zip_derived_cl0, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]:
% 1.72/0.81 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 1.72/0.81 inference('cnf', [status(esa)], [quotient_less_equal])).
% 1.72/0.81 thf(zip_derived_cl11, plain, (![X0 : $i]: (quotient @ zero @ X0 @ zero)),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.72/0.81 thf(zip_derived_cl7, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.72/0.81 inference('cnf', [status(esa)], [closure])).
% 1.72/0.81 thf(divisor_existence, axiom,
% 1.72/0.81 (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 1.72/0.81 thf(zip_derived_cl2, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/0.81 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 1.72/0.81 inference('cnf', [status(esa)], [divisor_existence])).
% 1.72/0.81 thf(zip_derived_cl20, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X1 @ X0) @ X1)),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 1.72/0.81 thf(zip_derived_cl0, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]:
% 1.72/0.81 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 1.72/0.81 inference('cnf', [status(esa)], [quotient_less_equal])).
% 1.72/0.81 thf(zip_derived_cl40, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]: (quotient @ (divide @ X0 @ X1) @ X0 @ zero)),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 1.72/0.81 thf(zip_derived_cl7, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.72/0.81 inference('cnf', [status(esa)], [closure])).
% 1.72/0.81 thf(quotient_property, axiom,
% 1.72/0.81 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 1.72/0.81 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 1.72/0.81 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 1.72/0.81 thf(zip_derived_cl3, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.72/0.81 (~ (quotient @ X0 @ X1 @ X2)
% 1.72/0.81 | ~ (quotient @ X1 @ X3 @ X4)
% 1.72/0.81 | ~ (quotient @ X0 @ X3 @ X5)
% 1.72/0.81 | ~ (quotient @ X5 @ X4 @ X6)
% 1.72/0.81 | ~ (quotient @ X2 @ X3 @ X7)
% 1.72/0.81 | (less_equal @ X6 @ X7))),
% 1.72/0.81 inference('cnf', [status(esa)], [quotient_property])).
% 1.72/0.81 thf(zip_derived_cl22, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.72/0.81 (~ (quotient @ X0 @ X3 @ X2)
% 1.72/0.81 | ~ (quotient @ X1 @ X3 @ X4)
% 1.72/0.81 | ~ (quotient @ X4 @ X2 @ X5)
% 1.72/0.81 | ~ (quotient @ (divide @ X1 @ X0) @ X3 @ X6)
% 1.72/0.81 | (less_equal @ X5 @ X6))),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 1.72/0.81 thf(zip_derived_cl60, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.72/0.81 (~ (quotient @ X1 @ X0 @ X2)
% 1.72/0.81 | ~ (quotient @ X0 @ X0 @ X3)
% 1.72/0.81 | ~ (quotient @ X3 @ X2 @ X4)
% 1.72/0.81 | (less_equal @ X4 @ zero))),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl22])).
% 1.72/0.81 thf(zip_derived_cl103, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/0.81 (~ (quotient @ X0 @ X0 @ X1)
% 1.72/0.81 | ~ (quotient @ X1 @ zero @ X2)
% 1.72/0.81 | (less_equal @ X2 @ zero))),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl60])).
% 1.72/0.81 thf(zip_derived_cl109, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]:
% 1.72/0.81 (~ (quotient @ X1 @ X1 @ X0)
% 1.72/0.81 | (less_equal @ (divide @ X0 @ zero) @ zero))),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl103])).
% 1.72/0.81 thf(zip_derived_cl122, plain,
% 1.72/0.81 (![X0 : $i]: (less_equal @ (divide @ (divide @ X0 @ X0) @ zero) @ zero)),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl109])).
% 1.72/0.81 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 1.72/0.81 inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.72/0.81 thf(less_equal_and_equal, axiom,
% 1.72/0.81 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 1.72/0.81 ( ( X ) = ( Y ) ))).
% 1.72/0.81 thf(zip_derived_cl5, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]:
% 1.72/0.81 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.72/0.81 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.72/0.81 thf(zip_derived_cl15, plain,
% 1.72/0.81 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.72/0.81 thf(zip_derived_cl133, plain,
% 1.72/0.81 (![X0 : $i]: ((zero) = (divide @ (divide @ X0 @ X0) @ zero))),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl15])).
% 1.72/0.81 thf(zip_derived_cl7, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.72/0.81 inference('cnf', [status(esa)], [closure])).
% 1.72/0.81 thf(zip_derived_cl141, plain,
% 1.72/0.81 (![X0 : $i]: (quotient @ (divide @ X0 @ X0) @ zero @ zero)),
% 1.72/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl7])).
% 1.72/0.81 thf(less_equal_quotient, axiom,
% 1.72/0.81 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 1.72/0.81 thf(zip_derived_cl1, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]:
% 1.72/0.81 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 1.72/0.81 inference('cnf', [status(esa)], [less_equal_quotient])).
% 1.72/0.81 thf(zip_derived_cl181, plain,
% 1.72/0.81 (![X0 : $i]: (less_equal @ (divide @ X0 @ X0) @ zero)),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl1])).
% 1.72/0.81 thf(zip_derived_cl15, plain,
% 1.72/0.81 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.72/0.81 thf(zip_derived_cl191, plain, (![X0 : $i]: ((zero) = (divide @ X0 @ X0))),
% 1.72/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl15])).
% 1.72/0.81 thf(zip_derived_cl7, plain,
% 1.72/0.81 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.72/0.81 inference('cnf', [status(esa)], [closure])).
% 1.72/0.81 thf(zip_derived_cl199, plain, (![X0 : $i]: (quotient @ X0 @ X0 @ zero)),
% 1.72/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl7])).
% 1.72/0.81 thf(zip_derived_cl214, plain, ($false),
% 1.72/0.81 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl199])).
% 1.72/0.81
% 1.72/0.81 % SZS output end Refutation
% 1.72/0.81
% 1.72/0.81
% 1.72/0.81 % Terminating...
% 2.21/0.90 % Runner terminated.
% 2.21/0.92 % Zipperpin 1.5 exiting
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