TSTP Solution File: HEN006-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : HEN006-1 : 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.62dUWvkNZN true

% Computer : n002.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 01:57:46 EDT 2023

% Result   : Unsatisfiable 1.25s 0.96s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : HEN006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.62dUWvkNZN true
% 0.13/0.34  % Computer : n002.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 13:42:01 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.19/0.61  % Total configuration time : 435
% 0.19/0.61  % Estimated wc time : 1092
% 0.19/0.61  % Estimated cpu time (7 cpus) : 156.0
% 1.01/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.01/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.01/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.01/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.01/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.01/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.01/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.96  % Solved by fo/fo13.sh.
% 1.25/0.96  % done 521 iterations in 0.202s
% 1.25/0.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/0.96  % SZS output start Refutation
% 1.25/0.96  thf(divide_type, type, divide: $i > $i > $i).
% 1.25/0.96  thf(xQy_type, type, xQy: $i).
% 1.25/0.96  thf(y_type, type, y: $i).
% 1.25/0.96  thf(x_type, type, x: $i).
% 1.25/0.96  thf(less_equal_type, type, less_equal: $i > $i > $o).
% 1.25/0.96  thf(xQz_type, type, xQz: $i).
% 1.25/0.96  thf(z_type, type, z: $i).
% 1.25/0.96  thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 1.25/0.96  thf(zero_type, type, zero: $i).
% 1.25/0.96  thf(prove_xQzLEy, conjecture, (less_equal @ xQz @ y)).
% 1.25/0.96  thf(zf_stmt_0, negated_conjecture, (~( less_equal @ xQz @ y )),
% 1.25/0.96    inference('cnf.neg', [status(esa)], [prove_xQzLEy])).
% 1.25/0.96  thf(zip_derived_cl12, plain, (~ (less_equal @ xQz @ y)),
% 1.25/0.96      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.25/0.96  thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(xQyLEz, axiom, (less_equal @ xQy @ z)).
% 1.25/0.96  thf(zip_derived_cl10, plain, ( (less_equal @ xQy @ z)),
% 1.25/0.96      inference('cnf', [status(esa)], [xQyLEz])).
% 1.25/0.96  thf(quotient_less_equal, axiom,
% 1.25/0.96    (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 1.25/0.96  thf(zip_derived_cl0, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (less_equal @ X0 @ X1) |  (quotient @ X0 @ X1 @ zero))),
% 1.25/0.96      inference('cnf', [status(esa)], [quotient_less_equal])).
% 1.25/0.96  thf(zip_derived_cl15, plain, ( (quotient @ xQy @ z @ zero)),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 1.25/0.96  thf(xQz, axiom, (quotient @ x @ z @ xQz)).
% 1.25/0.96  thf(zip_derived_cl11, plain, ( (quotient @ x @ z @ xQz)),
% 1.25/0.96      inference('cnf', [status(esa)], [xQz])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(xQy, axiom, (quotient @ x @ y @ xQy)).
% 1.25/0.96  thf(zip_derived_cl9, plain, ( (quotient @ x @ y @ xQy)),
% 1.25/0.96      inference('cnf', [status(esa)], [xQy])).
% 1.25/0.96  thf(quotient_property, axiom,
% 1.25/0.96    (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) | 
% 1.25/0.96     ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) | 
% 1.25/0.96     ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 1.25/0.96  thf(zip_derived_cl3, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.25/0.96         (~ (quotient @ X0 @ X1 @ X2)
% 1.25/0.96          | ~ (quotient @ X1 @ X3 @ X4)
% 1.25/0.96          | ~ (quotient @ X0 @ X3 @ X5)
% 1.25/0.96          | ~ (quotient @ X5 @ X4 @ X6)
% 1.25/0.96          | ~ (quotient @ X2 @ X3 @ X7)
% 1.25/0.96          |  (less_equal @ X6 @ X7))),
% 1.25/0.96      inference('cnf', [status(esa)], [quotient_property])).
% 1.25/0.96  thf(zip_derived_cl34, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/0.96         (~ (quotient @ y @ X1 @ X0)
% 1.25/0.96          | ~ (quotient @ x @ X1 @ X2)
% 1.25/0.96          | ~ (quotient @ X2 @ X0 @ X3)
% 1.25/0.96          | ~ (quotient @ xQy @ X1 @ X4)
% 1.25/0.96          |  (less_equal @ X3 @ X4))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 1.25/0.96  thf(zip_derived_cl111, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/0.96         (~ (quotient @ x @ X0 @ X1)
% 1.25/0.96          | ~ (quotient @ X1 @ (divide @ y @ X0) @ X2)
% 1.25/0.96          | ~ (quotient @ xQy @ X0 @ X3)
% 1.25/0.96          |  (less_equal @ X2 @ X3))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl34])).
% 1.25/0.96  thf(zip_derived_cl437, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (quotient @ xQz @ (divide @ y @ z) @ X0)
% 1.25/0.96          | ~ (quotient @ xQy @ z @ X1)
% 1.25/0.96          |  (less_equal @ X0 @ X1))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl111])).
% 1.25/0.96  thf(zip_derived_cl706, plain,
% 1.25/0.96      (![X0 : $i]:
% 1.25/0.96         (~ (quotient @ xQz @ (divide @ y @ z) @ X0)
% 1.25/0.96          |  (less_equal @ X0 @ zero))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl437])).
% 1.25/0.96  thf(zip_derived_cl709, plain,
% 1.25/0.96      ( (less_equal @ (divide @ xQz @ (divide @ y @ z)) @ zero)),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl706])).
% 1.25/0.96  thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 1.25/0.96  thf(zip_derived_cl4, plain, (![X0 : $i]:  (less_equal @ zero @ X0)),
% 1.25/0.96      inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.25/0.96  thf(less_equal_and_equal, axiom,
% 1.25/0.96    (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) | 
% 1.25/0.96     ( ( X ) = ( Y ) ))).
% 1.25/0.96  thf(zip_derived_cl5, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 1.25/0.96      inference('cnf', [status(esa)], [less_equal_and_equal])).
% 1.25/0.96  thf(zip_derived_cl17, plain,
% 1.25/0.96      (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.25/0.96  thf(zip_derived_cl712, plain, (((zero) = (divide @ xQz @ (divide @ y @ z)))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl709, zip_derived_cl17])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(divisor_existence, axiom,
% 1.25/0.96    (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 1.25/0.96  thf(zip_derived_cl2, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/0.96         (~ (quotient @ X0 @ X1 @ X2) |  (less_equal @ X2 @ X0))),
% 1.25/0.96      inference('cnf', [status(esa)], [divisor_existence])).
% 1.25/0.96  thf(zip_derived_cl21, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (less_equal @ (divide @ X1 @ X0) @ X1)),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 1.25/0.96  thf(zip_derived_cl0, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (less_equal @ X0 @ X1) |  (quotient @ X0 @ X1 @ zero))),
% 1.25/0.96      inference('cnf', [status(esa)], [quotient_less_equal])).
% 1.25/0.96  thf(zip_derived_cl70, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ (divide @ X0 @ X1) @ X0 @ zero)),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(zip_derived_cl3, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.25/0.96         (~ (quotient @ X0 @ X1 @ X2)
% 1.25/0.96          | ~ (quotient @ X1 @ X3 @ X4)
% 1.25/0.96          | ~ (quotient @ X0 @ X3 @ X5)
% 1.25/0.96          | ~ (quotient @ X5 @ X4 @ X6)
% 1.25/0.96          | ~ (quotient @ X2 @ X3 @ X7)
% 1.25/0.96          |  (less_equal @ X6 @ X7))),
% 1.25/0.96      inference('cnf', [status(esa)], [quotient_property])).
% 1.25/0.96  thf(zip_derived_cl33, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.25/0.96         (~ (quotient @ X0 @ X3 @ X2)
% 1.25/0.96          | ~ (quotient @ X1 @ X3 @ X4)
% 1.25/0.96          | ~ (quotient @ X4 @ X2 @ X5)
% 1.25/0.96          | ~ (quotient @ (divide @ X1 @ X0) @ X3 @ X6)
% 1.25/0.96          |  (less_equal @ X5 @ X6))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 1.25/0.96  thf(zip_derived_cl100, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.25/0.96         (~ (quotient @ X1 @ X0 @ X3)
% 1.25/0.96          | ~ (quotient @ X2 @ X0 @ X4)
% 1.25/0.96          | ~ (quotient @ X4 @ X3 @ X5)
% 1.25/0.96          |  (less_equal @ X5 @ (divide @ (divide @ X2 @ X1) @ X0)))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl33])).
% 1.25/0.96  thf(zip_derived_cl215, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/0.96         (~ (quotient @ X3 @ X0 @ X2)
% 1.25/0.96          | ~ (quotient @ X2 @ zero @ X4)
% 1.25/0.96          |  (less_equal @ X4 @ 
% 1.25/0.96              (divide @ (divide @ X3 @ (divide @ X0 @ X1)) @ X0)))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl100])).
% 1.25/0.96  thf(zip_derived_cl950, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (quotient @ xQz @ y @ X1)
% 1.25/0.96          | ~ (quotient @ X1 @ zero @ X0)
% 1.25/0.96          |  (less_equal @ X0 @ (divide @ zero @ y)))),
% 1.25/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl712, zip_derived_cl215])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(zip_derived_cl4, plain, (![X0 : $i]:  (less_equal @ zero @ X0)),
% 1.25/0.96      inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.25/0.96  thf(zip_derived_cl0, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (less_equal @ X0 @ X1) |  (quotient @ X0 @ X1 @ zero))),
% 1.25/0.96      inference('cnf', [status(esa)], [quotient_less_equal])).
% 1.25/0.96  thf(zip_derived_cl14, plain, (![X0 : $i]:  (quotient @ zero @ X0 @ zero)),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.25/0.96  thf(well_defined, axiom,
% 1.25/0.96    (( ~( quotient @ X @ Y @ Z ) ) | ( ~( quotient @ X @ Y @ W ) ) | 
% 1.25/0.96     ( ( Z ) = ( W ) ))).
% 1.25/0.96  thf(zip_derived_cl8, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/0.96         (~ (quotient @ X0 @ X1 @ X2)
% 1.25/0.96          | ~ (quotient @ X0 @ X1 @ X3)
% 1.25/0.96          | ((X2) = (X3)))),
% 1.25/0.96      inference('cnf', [status(esa)], [well_defined])).
% 1.25/0.96  thf(zip_derived_cl47, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]: (~ (quotient @ zero @ X0 @ X1) | ((zero) = (X1)))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl8])).
% 1.25/0.96  thf(zip_derived_cl63, plain, (![X0 : $i]: ((zero) = (divide @ zero @ X0))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl47])).
% 1.25/0.96  thf(zip_derived_cl974, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (quotient @ xQz @ y @ X1)
% 1.25/0.96          | ~ (quotient @ X1 @ zero @ X0)
% 1.25/0.96          |  (less_equal @ X0 @ zero))),
% 1.25/0.96      inference('demod', [status(thm)], [zip_derived_cl950, zip_derived_cl63])).
% 1.25/0.96  thf(zip_derived_cl975, plain,
% 1.25/0.96      (![X0 : $i]:
% 1.25/0.96         (~ (quotient @ (divide @ xQz @ y) @ zero @ X0)
% 1.25/0.96          |  (less_equal @ X0 @ zero))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl974])).
% 1.25/0.96  thf(zip_derived_cl976, plain,
% 1.25/0.96      ( (less_equal @ (divide @ (divide @ xQz @ y) @ zero) @ zero)),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl975])).
% 1.25/0.96  thf(zip_derived_cl17, plain,
% 1.25/0.96      (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.25/0.96  thf(zip_derived_cl979, plain,
% 1.25/0.96      (((zero) = (divide @ (divide @ xQz @ y) @ zero))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl976, zip_derived_cl17])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(zip_derived_cl982, plain,
% 1.25/0.96      ( (quotient @ (divide @ xQz @ y) @ zero @ zero)),
% 1.25/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl7])).
% 1.25/0.96  thf(less_equal_quotient, axiom,
% 1.25/0.96    (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 1.25/0.96  thf(zip_derived_cl1, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (quotient @ X0 @ X1 @ zero) |  (less_equal @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [less_equal_quotient])).
% 1.25/0.96  thf(zip_derived_cl1029, plain, ( (less_equal @ (divide @ xQz @ y) @ zero)),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl982, zip_derived_cl1])).
% 1.25/0.96  thf(zip_derived_cl17, plain,
% 1.25/0.96      (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.25/0.96  thf(zip_derived_cl1061, plain, (((zero) = (divide @ xQz @ y))),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl1029, zip_derived_cl17])).
% 1.25/0.96  thf(zip_derived_cl7, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:  (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [closure])).
% 1.25/0.96  thf(zip_derived_cl1083, plain, ( (quotient @ xQz @ y @ zero)),
% 1.25/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl1061, zip_derived_cl7])).
% 1.25/0.96  thf(zip_derived_cl1, plain,
% 1.25/0.96      (![X0 : $i, X1 : $i]:
% 1.25/0.96         (~ (quotient @ X0 @ X1 @ zero) |  (less_equal @ X0 @ X1))),
% 1.25/0.96      inference('cnf', [status(esa)], [less_equal_quotient])).
% 1.25/0.96  thf(zip_derived_cl1127, plain, ( (less_equal @ xQz @ y)),
% 1.25/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl1083, zip_derived_cl1])).
% 1.25/0.96  thf(zip_derived_cl1151, plain, ($false),
% 1.25/0.96      inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1127])).
% 1.25/0.96  
% 1.25/0.96  % SZS output end Refutation
% 1.25/0.96  
% 1.25/0.96  
% 1.25/0.96  % Terminating...
% 1.47/1.03  % Runner terminated.
% 1.47/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------