TSTP Solution File: HEN009-5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN009-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H6ors4dOK1 true
% Computer : n003.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 01:57:51 EDT 2023
% Result : Unsatisfiable 6.57s 1.52s
% Output : Refutation 6.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN009-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H6ors4dOK1 true
% 0.13/0.34 % Computer : n003.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 13:27:37 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
% 0.19/0.62 % Total configuration time : 435
% 0.19/0.62 % Estimated wc time : 1092
% 0.19/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.57/1.52 % Solved by fo/fo5.sh.
% 6.57/1.52 % done 487 iterations in 0.763s
% 6.57/1.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.57/1.52 % SZS output start Refutation
% 6.57/1.52 thf(zero_type, type, zero: $i).
% 6.57/1.52 thf(a_type, type, a: $i).
% 6.57/1.52 thf(divide_type, type, divide: $i > $i > $i).
% 6.57/1.52 thf(identity_type, type, identity: $i).
% 6.57/1.52 thf(prove_this, conjecture,
% 6.57/1.52 (( divide @ identity @ a ) =
% 6.57/1.52 ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) ))).
% 6.57/1.52 thf(zf_stmt_0, negated_conjecture,
% 6.57/1.52 (( divide @ identity @ a ) !=
% 6.57/1.52 ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) )),
% 6.57/1.52 inference('cnf.neg', [status(esa)], [prove_this])).
% 6.57/1.52 thf(zip_derived_cl8, plain,
% 6.57/1.52 (((divide @ identity @ a)
% 6.57/1.52 != (divide @ identity @ (divide @ identity @ (divide @ identity @ a))))),
% 6.57/1.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.57/1.52 thf(quotient_smaller_than_numerator, axiom,
% 6.57/1.52 (( divide @ ( divide @ X @ Y ) @ X ) = ( zero ))).
% 6.57/1.52 thf(zip_derived_cl0, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 6.57/1.52 thf(property_of_divide1, axiom,
% 6.57/1.52 (( ( divide @ ( divide @ X @ Y ) @ Z ) != ( zero ) ) |
% 6.57/1.52 ( ( divide @ ( divide @ X @ Z ) @ Y ) = ( zero ) ))).
% 6.57/1.52 thf(zip_derived_cl6, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 6.57/1.52 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 6.57/1.52 inference('cnf', [status(esa)], [property_of_divide1])).
% 6.57/1.52 thf(zip_derived_cl83, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((zero) != (zero)) | ((divide @ (divide @ X0 @ X0) @ X1) = (zero)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 6.57/1.52 thf(zip_derived_cl91, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X0) @ X1) = (zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl83])).
% 6.57/1.52 thf(zip_derived_cl0, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 6.57/1.52 thf(divide_and_equal, axiom,
% 6.57/1.52 (( ( divide @ X @ Y ) != ( zero ) ) | ( ( divide @ Y @ X ) != ( zero ) ) |
% 6.57/1.52 ( ( X ) = ( Y ) ))).
% 6.57/1.52 thf(zip_derived_cl3, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((divide @ X0 @ X1) != (zero))
% 6.57/1.52 | ((divide @ X1 @ X0) != (zero))
% 6.57/1.52 | ((X0) = (X1)))),
% 6.57/1.52 inference('cnf', [status(esa)], [divide_and_equal])).
% 6.57/1.52 thf(zip_derived_cl14, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((divide @ X0 @ X1) = (X0))
% 6.57/1.52 | ((divide @ X0 @ (divide @ X0 @ X1)) != (zero)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 6.57/1.52 thf(zip_derived_cl17, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((divide @ X0 @ (divide @ X0 @ X1)) != (zero))
% 6.57/1.52 | ((divide @ X0 @ X1) = (X0)))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl14])).
% 6.57/1.52 thf(zip_derived_cl121, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((divide @ (divide @ X1 @ X1) @ zero) != (zero))
% 6.57/1.52 | ((divide @ (divide @ X1 @ X1) @ X0) = (divide @ X1 @ X1)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl17])).
% 6.57/1.52 thf(zip_derived_cl91, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X0) @ X1) = (zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl83])).
% 6.57/1.52 thf(zip_derived_cl91, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X0) @ X1) = (zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl83])).
% 6.57/1.52 thf(zip_derived_cl140, plain,
% 6.57/1.52 (![X1 : $i]: (((zero) != (zero)) | ((zero) = (divide @ X1 @ X1)))),
% 6.57/1.52 inference('demod', [status(thm)],
% 6.57/1.52 [zip_derived_cl121, zip_derived_cl91, zip_derived_cl91])).
% 6.57/1.52 thf(zip_derived_cl141, plain, (![X1 : $i]: ((zero) = (divide @ X1 @ X1))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl140])).
% 6.57/1.52 thf(zip_derived_cl6, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 6.57/1.52 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 6.57/1.52 inference('cnf', [status(esa)], [property_of_divide1])).
% 6.57/1.52 thf(zip_derived_cl176, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0) = (zero)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl6])).
% 6.57/1.52 thf(zip_derived_cl191, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 ((divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0) = (zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl176])).
% 6.57/1.52 thf(property_of_divide2, axiom,
% 6.57/1.52 (( ( divide @ X @ Y ) != ( zero ) ) |
% 6.57/1.52 ( ( divide @ ( divide @ Z @ Y ) @ ( divide @ Z @ X ) ) = ( zero ) ))).
% 6.57/1.52 thf(zip_derived_cl7, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 (((divide @ X0 @ X1) != (zero))
% 6.57/1.52 | ((divide @ (divide @ X2 @ X1) @ (divide @ X2 @ X0)) = (zero)))),
% 6.57/1.52 inference('cnf', [status(esa)], [property_of_divide2])).
% 6.57/1.52 thf(zip_derived_cl210, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((divide @ (divide @ X2 @ X0) @
% 6.57/1.52 (divide @ X2 @ (divide @ X1 @ (divide @ X1 @ X0)))) = (zero)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl7])).
% 6.57/1.52 thf(zip_derived_cl234, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 ((divide @ (divide @ X2 @ X0) @
% 6.57/1.52 (divide @ X2 @ (divide @ X1 @ (divide @ X1 @ X0)))) = (zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl210])).
% 6.57/1.52 thf(identity_is_largest, axiom, (( divide @ X @ identity ) = ( zero ))).
% 6.57/1.52 thf(zip_derived_cl4, plain,
% 6.57/1.52 (![X0 : $i]: ((divide @ X0 @ identity) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [identity_is_largest])).
% 6.57/1.52 thf(quotient_property, axiom,
% 6.57/1.52 (( divide @
% 6.57/1.52 ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @
% 6.57/1.52 ( divide @ ( divide @ X @ Y ) @ Z ) ) =
% 6.57/1.52 ( zero ))).
% 6.57/1.52 thf(zip_derived_cl1, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 6.57/1.52 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [quotient_property])).
% 6.57/1.52 thf(zip_derived_cl1, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @
% 6.57/1.52 (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [quotient_property])).
% 6.57/1.52 thf(zip_derived_cl31, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 ((divide @
% 6.57/1.52 (divide @
% 6.57/1.52 (divide @ (divide @ X2 @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 6.57/1.52 (divide @ (divide @ X1 @ X0) @ (divide @ (divide @ X2 @ X1) @ X0))) @
% 6.57/1.52 zero) = (zero))),
% 6.57/1.52 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 6.57/1.52 thf(zip_derived_cl547, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 ((divide @
% 6.57/1.52 (divide @
% 6.57/1.52 (divide @ (divide @ X1 @ X0) @
% 6.57/1.52 (divide @ (divide @ X1 @ identity) @ X0)) @
% 6.57/1.52 (divide @ (divide @ identity @ X0) @ (divide @ zero @ X0))) @
% 6.57/1.52 zero) = (zero))),
% 6.57/1.52 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl31])).
% 6.57/1.52 thf(zip_derived_cl4, plain,
% 6.57/1.52 (![X0 : $i]: ((divide @ X0 @ identity) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [identity_is_largest])).
% 6.57/1.52 thf(zero_is_smallest, axiom, (( divide @ zero @ X ) = ( zero ))).
% 6.57/1.52 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [zero_is_smallest])).
% 6.57/1.52 thf(zip_derived_cl191, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 ((divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ X0) = (zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl176])).
% 6.57/1.52 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [zero_is_smallest])).
% 6.57/1.52 thf(zip_derived_cl3, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((divide @ X0 @ X1) != (zero))
% 6.57/1.52 | ((divide @ X1 @ X0) != (zero))
% 6.57/1.52 | ((X0) = (X1)))),
% 6.57/1.52 inference('cnf', [status(esa)], [divide_and_equal])).
% 6.57/1.52 thf(zip_derived_cl15, plain,
% 6.57/1.52 (![X0 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((zero) = (X0))
% 6.57/1.52 | ((divide @ X0 @ zero) != (zero)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 6.57/1.52 thf(zip_derived_cl18, plain,
% 6.57/1.52 (![X0 : $i]: (((divide @ X0 @ zero) != (zero)) | ((zero) = (X0)))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl15])).
% 6.57/1.52 thf(zip_derived_cl216, plain,
% 6.57/1.52 (![X0 : $i]:
% 6.57/1.52 (((zero) != (zero)) | ((zero) = (divide @ X0 @ (divide @ X0 @ zero))))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl18])).
% 6.57/1.52 thf(zip_derived_cl238, plain,
% 6.57/1.52 (![X0 : $i]: ((zero) = (divide @ X0 @ (divide @ X0 @ zero)))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl216])).
% 6.57/1.52 thf(zip_derived_cl3, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((divide @ X0 @ X1) != (zero))
% 6.57/1.52 | ((divide @ X1 @ X0) != (zero))
% 6.57/1.52 | ((X0) = (X1)))),
% 6.57/1.52 inference('cnf', [status(esa)], [divide_and_equal])).
% 6.57/1.52 thf(zip_derived_cl246, plain,
% 6.57/1.52 (![X0 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((X0) = (divide @ X0 @ zero))
% 6.57/1.52 | ((divide @ (divide @ X0 @ zero) @ X0) != (zero)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl238, zip_derived_cl3])).
% 6.57/1.52 thf(zip_derived_cl0, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 6.57/1.52 thf(zip_derived_cl269, plain,
% 6.57/1.52 (![X0 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((X0) = (divide @ X0 @ zero))
% 6.57/1.52 | ((zero) != (zero)))),
% 6.57/1.52 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl0])).
% 6.57/1.52 thf(zip_derived_cl270, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl269])).
% 6.57/1.52 thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 6.57/1.52 inference('cnf', [status(esa)], [zero_is_smallest])).
% 6.57/1.52 thf(zip_derived_cl270, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl269])).
% 6.57/1.52 thf(zip_derived_cl270, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl269])).
% 6.57/1.52 thf(zip_derived_cl593, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 ((divide @ (divide @ X1 @ X0) @ (divide @ identity @ X0)) = (zero))),
% 6.57/1.52 inference('demod', [status(thm)],
% 6.57/1.52 [zip_derived_cl547, zip_derived_cl4, zip_derived_cl2,
% 6.57/1.52 zip_derived_cl270, zip_derived_cl2, zip_derived_cl270,
% 6.57/1.52 zip_derived_cl270])).
% 6.57/1.52 thf(zip_derived_cl6, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.57/1.52 (((divide @ (divide @ X0 @ X1) @ X2) != (zero))
% 6.57/1.52 | ((divide @ (divide @ X0 @ X2) @ X1) = (zero)))),
% 6.57/1.52 inference('cnf', [status(esa)], [property_of_divide1])).
% 6.57/1.52 thf(zip_derived_cl677, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((divide @ (divide @ X1 @ (divide @ identity @ X0)) @ X0) = (zero)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl593, zip_derived_cl6])).
% 6.57/1.52 thf(zip_derived_cl714, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 ((divide @ (divide @ X1 @ (divide @ identity @ X0)) @ X0) = (zero))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl677])).
% 6.57/1.52 thf(zip_derived_cl3, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((divide @ X0 @ X1) != (zero))
% 6.57/1.52 | ((divide @ X1 @ X0) != (zero))
% 6.57/1.52 | ((X0) = (X1)))),
% 6.57/1.52 inference('cnf', [status(esa)], [divide_and_equal])).
% 6.57/1.52 thf(zip_derived_cl796, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((divide @ X1 @ (divide @ identity @ X0)) = (X0))
% 6.57/1.52 | ((divide @ X0 @ (divide @ X1 @ (divide @ identity @ X0))) != (zero)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl3])).
% 6.57/1.52 thf(zip_derived_cl832, plain,
% 6.57/1.52 (![X0 : $i, X1 : $i]:
% 6.57/1.52 (((divide @ X0 @ (divide @ X1 @ (divide @ identity @ X0))) != (zero))
% 6.57/1.52 | ((divide @ X1 @ (divide @ identity @ X0)) = (X0)))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl796])).
% 6.57/1.52 thf(zip_derived_cl6466, plain,
% 6.57/1.52 (![X0 : $i]:
% 6.57/1.52 (((zero) != (zero))
% 6.57/1.52 | ((divide @ identity @
% 6.57/1.52 (divide @ identity @ (divide @ identity @ X0)))
% 6.57/1.52 = (divide @ identity @ X0)))),
% 6.57/1.52 inference('sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl832])).
% 6.57/1.52 thf(zip_derived_cl6690, plain,
% 6.57/1.52 (![X0 : $i]:
% 6.57/1.52 ((divide @ identity @ (divide @ identity @ (divide @ identity @ X0)))
% 6.57/1.52 = (divide @ identity @ X0))),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl6466])).
% 6.57/1.52 thf(zip_derived_cl7088, plain,
% 6.57/1.52 (((divide @ identity @ a) != (divide @ identity @ a))),
% 6.57/1.52 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl6690])).
% 6.57/1.52 thf(zip_derived_cl7089, plain, ($false),
% 6.57/1.52 inference('simplify', [status(thm)], [zip_derived_cl7088])).
% 6.57/1.52
% 6.57/1.52 % SZS output end Refutation
% 6.57/1.52
% 6.57/1.52
% 6.57/1.52 % Terminating...
% 6.81/1.64 % Runner terminated.
% 6.81/1.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------