TSTP Solution File: HEN004-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : HEN004-2 : 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.zwBO9ouZAG true

% Computer : n019.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 01:57:43 EDT 2023

% Result   : Unsatisfiable 1.52s 0.90s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : HEN004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zwBO9ouZAG true
% 0.18/0.36  % Computer : n019.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Thu Aug 24 13:26:43 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.18/0.36  % Running portfolio for 300 s
% 0.18/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  % Number of cores: 8
% 0.18/0.37  % Python version: Python 3.6.8
% 0.18/0.37  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.40/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.40/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.40/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.40/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.40/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.52/0.90  % Solved by fo/fo13.sh.
% 1.52/0.90  % done 226 iterations in 0.100s
% 1.52/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.52/0.90  % SZS output start Refutation
% 1.52/0.90  thf(divide_type, type, divide: $i > $i > $i).
% 1.52/0.90  thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.52/0.90  thf(x_type, type, x: $i).
% 1.52/0.90  thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 1.52/0.90  thf(zero_type, type, zero: $i).
% 1.52/0.90  thf(prove_x_divde_zero_is_x, conjecture, (quotient @ x @ zero @ x)).
% 1.52/0.90  thf(zf_stmt_0, negated_conjecture, (~( quotient @ x @ zero @ x )),
% 1.52/0.90    inference('cnf.neg', [status(esa)], [prove_x_divde_zero_is_x])).
% 1.52/0.90  thf(zip_derived_cl12, plain, (~ (quotient @ x @ zero @ x)),
% 1.52/0.90      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.52/0.90  thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 1.52/0.90  thf(zip_derived_cl7, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [closure])).
% 1.52/0.90  thf(zip_derived_cl7, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [closure])).
% 1.52/0.90  thf(zero_divide_anything_is_zero, axiom, (quotient @ zero @ X @ zero)).
% 1.52/0.90  thf(zip_derived_cl10, plain, (![X0 : $i]:  (quotient @ zero @ X0 @ zero)),
% 1.52/0.90      inference('cnf', [status(esa)], [zero_divide_anything_is_zero])).
% 1.52/0.90  thf(x_divide_x_is_zero, axiom, (quotient @ X @ X @ zero)).
% 1.52/0.90  thf(zip_derived_cl11, plain, (![X0 : $i]:  (quotient @ X0 @ X0 @ zero)),
% 1.52/0.90      inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 1.52/0.90  thf(zip_derived_cl7, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [closure])).
% 1.52/0.90  thf(quotient_property, axiom,
% 1.52/0.90    (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) | 
% 1.52/0.90     ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) | 
% 1.52/0.90     ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 1.52/0.90  thf(zip_derived_cl3, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.52/0.90         (~ (quotient @ X0 @ X1 @ X2)
% 1.52/0.90          | ~ (quotient @ X1 @ X3 @ X4)
% 1.52/0.90          | ~ (quotient @ X0 @ X3 @ X5)
% 1.52/0.90          | ~ (quotient @ X5 @ X4 @ X6)
% 1.52/0.90          | ~ (quotient @ X2 @ X3 @ X7)
% 1.52/0.90          |  (less_equal @ X6 @ X7))),
% 1.52/0.90      inference('cnf', [status(esa)], [quotient_property])).
% 1.52/0.90  thf(zip_derived_cl31, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.52/0.90         (~ (quotient @ X0 @ X3 @ X2)
% 1.52/0.90          | ~ (quotient @ X1 @ X3 @ X4)
% 1.52/0.90          | ~ (quotient @ X4 @ X2 @ X5)
% 1.52/0.90          | ~ (quotient @ (divide @ X1 @ X0) @ X3 @ X6)
% 1.52/0.90          |  (less_equal @ X5 @ X6))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 1.52/0.90  thf(zip_derived_cl96, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.52/0.90         (~ (quotient @ X0 @ (divide @ X1 @ X0) @ X2)
% 1.52/0.90          | ~ (quotient @ X1 @ (divide @ X1 @ X0) @ X3)
% 1.52/0.90          | ~ (quotient @ X3 @ X2 @ X4)
% 1.52/0.90          |  (less_equal @ X4 @ zero))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl31])).
% 1.52/0.90  thf(zip_derived_cl255, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.52/0.90         (~ (quotient @ X0 @ (divide @ X0 @ zero) @ X1)
% 1.52/0.90          | ~ (quotient @ X1 @ zero @ X2)
% 1.52/0.90          |  (less_equal @ X2 @ zero))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl96])).
% 1.52/0.90  thf(zip_derived_cl261, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:
% 1.52/0.90         (~ (quotient @ X1 @ (divide @ X1 @ zero) @ X0)
% 1.52/0.90          |  (less_equal @ (divide @ X0 @ zero) @ zero))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl255])).
% 1.52/0.90  thf(zip_derived_cl280, plain,
% 1.52/0.90      (![X0 : $i]:
% 1.52/0.90          (less_equal @ 
% 1.52/0.90           (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) @ zero)),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl261])).
% 1.52/0.90  thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 1.52/0.90  thf(zip_derived_cl4, plain, (![X0 : $i]:  (less_equal @ zero @ X0)),
% 1.52/0.90      inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.52/0.90  thf(less_equal_and_equal, axiom,
% 1.52/0.90    (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) | 
% 1.52/0.90     ( ( X ) = ( Y ) ))).
% 1.52/0.90  thf(zip_derived_cl5, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:
% 1.52/0.90         (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.52/0.90      inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.52/0.90  thf(zip_derived_cl16, plain,
% 1.52/0.90      (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.52/0.90  thf(zip_derived_cl323, plain,
% 1.52/0.90      (![X0 : $i]:
% 1.52/0.90         ((zero) = (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl280, zip_derived_cl16])).
% 1.52/0.90  thf(zip_derived_cl7, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [closure])).
% 1.52/0.90  thf(zip_derived_cl341, plain,
% 1.52/0.90      (![X0 : $i]:
% 1.52/0.90          (quotient @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero @ zero)),
% 1.52/0.90      inference('s_sup+', [status(thm)], [zip_derived_cl323, zip_derived_cl7])).
% 1.52/0.90  thf(less_equal_quotient, axiom,
% 1.52/0.90    (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 1.52/0.90  thf(zip_derived_cl1, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:
% 1.52/0.90         (~ (quotient @ X0 @ X1 @ zero) |  (less_equal @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [less_equal_quotient])).
% 1.52/0.90  thf(zip_derived_cl400, plain,
% 1.52/0.90      (![X0 : $i]:  (less_equal @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero)),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl341, zip_derived_cl1])).
% 1.52/0.90  thf(zip_derived_cl16, plain,
% 1.52/0.90      (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.52/0.90  thf(zip_derived_cl424, plain,
% 1.52/0.90      (![X0 : $i]: ((zero) = (divide @ X0 @ (divide @ X0 @ zero)))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl400, zip_derived_cl16])).
% 1.52/0.90  thf(zip_derived_cl7, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [closure])).
% 1.52/0.90  thf(zip_derived_cl439, plain,
% 1.52/0.90      (![X0 : $i]:  (quotient @ X0 @ (divide @ X0 @ zero) @ zero)),
% 1.52/0.90      inference('s_sup+', [status(thm)], [zip_derived_cl424, zip_derived_cl7])).
% 1.52/0.90  thf(zip_derived_cl1, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:
% 1.52/0.90         (~ (quotient @ X0 @ X1 @ zero) |  (less_equal @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [less_equal_quotient])).
% 1.52/0.90  thf(zip_derived_cl466, plain,
% 1.52/0.90      (![X0 : $i]:  (less_equal @ X0 @ (divide @ X0 @ zero))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl439, zip_derived_cl1])).
% 1.52/0.90  thf(zip_derived_cl7, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [closure])).
% 1.52/0.90  thf(divisor_existence, axiom,
% 1.52/0.90    (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 1.52/0.90  thf(zip_derived_cl2, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.52/0.90         (~ (quotient @ X0 @ X1 @ X2) |  (less_equal @ X2 @ X0))),
% 1.52/0.90      inference('cnf', [status(esa)], [divisor_existence])).
% 1.52/0.90  thf(zip_derived_cl27, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:  (less_equal @ (divide @ X1 @ X0) @ X1)),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 1.52/0.90  thf(zip_derived_cl5, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:
% 1.52/0.90         (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.52/0.90      inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.52/0.90  thf(zip_derived_cl61, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:
% 1.52/0.90         (~ (less_equal @ X0 @ (divide @ X0 @ X1))
% 1.52/0.90          | ((divide @ X0 @ X1) = (X0)))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl5])).
% 1.52/0.90  thf(zip_derived_cl501, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 1.52/0.90      inference('s_sup-', [status(thm)], [zip_derived_cl466, zip_derived_cl61])).
% 1.52/0.90  thf(zip_derived_cl7, plain,
% 1.52/0.90      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.52/0.90      inference('cnf', [status(esa)], [closure])).
% 1.52/0.90  thf(zip_derived_cl518, plain, (![X0 : $i]:  (quotient @ X0 @ zero @ X0)),
% 1.52/0.90      inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl7])).
% 1.52/0.90  thf(zip_derived_cl540, plain, ($false),
% 1.52/0.90      inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl518])).
% 1.52/0.90  
% 1.52/0.90  % SZS output end Refutation
% 1.52/0.90  
% 1.52/0.90  
% 1.69/0.90  % Terminating...
% 1.69/0.97  % Runner terminated.
% 1.69/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------