TSTP Solution File: BOO025-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO025-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.m5FxQdUIHn true
% Computer : n007.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 : Wed Aug 30 18:13:23 EDT 2023
% Result : Unsatisfiable 1.71s 1.23s
% Output : Refutation 1.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO025-1 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.m5FxQdUIHn true
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 07:40:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 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/fo5.sh running for 50s
% 1.35/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.71/1.23 % Solved by fo/fo13.sh.
% 1.71/1.23 % done 299 iterations in 0.446s
% 1.71/1.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.71/1.23 % SZS output start Refutation
% 1.71/1.23 thf(pixley_type, type, pixley: $i > $i > $i > $i).
% 1.71/1.23 thf(n1_type, type, n1: $i).
% 1.71/1.23 thf(add_type, type, add: $i > $i > $i).
% 1.71/1.23 thf(a_type, type, a: $i).
% 1.71/1.23 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.71/1.23 thf(inverse_type, type, inverse: $i > $i).
% 1.71/1.23 thf(b_type, type, b: $i).
% 1.71/1.23 thf(prove_equal_identity, conjecture,
% 1.71/1.23 (( multiply @ b @ ( inverse @ b ) ) = ( multiply @ a @ ( inverse @ a ) ))).
% 1.71/1.23 thf(zf_stmt_0, negated_conjecture,
% 1.71/1.23 (( multiply @ b @ ( inverse @ b ) ) != ( multiply @ a @ ( inverse @ a ) )),
% 1.71/1.23 inference('cnf.neg', [status(esa)], [prove_equal_identity])).
% 1.71/1.23 thf(zip_derived_cl7, plain,
% 1.71/1.23 (((multiply @ b @ (inverse @ b)) != (multiply @ a @ (inverse @ a)))),
% 1.71/1.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.71/1.23 thf(multiply_add, axiom, (( multiply @ ( add @ X @ Y ) @ Y ) = ( Y ))).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(additive_inverse, axiom, (( add @ X @ ( inverse @ X ) ) = ( n1 ))).
% 1.71/1.23 thf(zip_derived_cl2, plain,
% 1.71/1.23 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (n1))),
% 1.71/1.23 inference('cnf', [status(esa)], [additive_inverse])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl9, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (inverse @ X0)) = (inverse @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl2, plain,
% 1.71/1.23 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (n1))),
% 1.71/1.23 inference('cnf', [status(esa)], [additive_inverse])).
% 1.71/1.23 thf(pixley_defn, axiom,
% 1.71/1.23 (( pixley @ X @ Y @ Z ) =
% 1.71/1.23 ( add @
% 1.71/1.23 ( multiply @ X @ ( inverse @ Y ) ) @
% 1.71/1.23 ( add @ ( multiply @ X @ Z ) @ ( multiply @ ( inverse @ Y ) @ Z ) ) ))).
% 1.71/1.23 thf(zip_derived_cl3, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((pixley @ X0 @ X1 @ X2)
% 1.71/1.23 = (add @ (multiply @ X0 @ (inverse @ X1)) @
% 1.71/1.23 (add @ (multiply @ X0 @ X2) @ (multiply @ (inverse @ X1) @ X2))))),
% 1.71/1.23 inference('cnf', [status(esa)], [pixley_defn])).
% 1.71/1.23 thf(multiply_add_property, axiom,
% 1.71/1.23 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 1.71/1.23 ( add @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl8, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((pixley @ X0 @ X1 @ X2)
% 1.71/1.23 = (add @ (multiply @ X0 @ (inverse @ X1)) @
% 1.71/1.23 (multiply @ X2 @ (add @ X0 @ (inverse @ X1)))))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl17, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((pixley @ X0 @ X0 @ X1)
% 1.71/1.23 = (add @ (multiply @ X0 @ (inverse @ X0)) @ (multiply @ X1 @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl8])).
% 1.71/1.23 thf(pixley1, axiom, (( pixley @ X @ X @ Y ) = ( Y ))).
% 1.71/1.23 thf(zip_derived_cl4, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((pixley @ X1 @ X1 @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [pixley1])).
% 1.71/1.23 thf(zip_derived_cl20, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((X1)
% 1.71/1.23 = (add @ (multiply @ X0 @ (inverse @ X0)) @ (multiply @ X1 @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl4])).
% 1.71/1.23 thf(zip_derived_cl23, plain,
% 1.71/1.23 (![X0 : $i]: ((X0) = (add @ (inverse @ n1) @ (multiply @ X0 @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl20])).
% 1.71/1.23 thf(zip_derived_cl28, plain,
% 1.71/1.23 (![X0 : $i]: ((add @ X0 @ n1) = (add @ (inverse @ n1) @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 1.71/1.23 thf(zip_derived_cl28, plain,
% 1.71/1.23 (![X0 : $i]: ((add @ X0 @ n1) = (add @ (inverse @ n1) @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 1.71/1.23 thf(zip_derived_cl31, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((add @ X1 @ n1) = (add @ X0 @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl28])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl13, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (add @ (add @ X2 @ X0) @ X1))
% 1.71/1.23 = (add @ X0 @ (multiply @ X1 @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl97, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ n1)) = (add @ X1 @ (multiply @ n1 @ X1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl13])).
% 1.71/1.23 thf(zip_derived_cl2, plain,
% 1.71/1.23 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (n1))),
% 1.71/1.23 inference('cnf', [status(esa)], [additive_inverse])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl10, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X2 @ (add @ X1 @ X0)) @ (multiply @ X0 @ X2))
% 1.71/1.23 = (multiply @ X0 @ X2))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl55, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X0 @ n1) @ (multiply @ (inverse @ X1) @ X0))
% 1.71/1.23 = (multiply @ (inverse @ X1) @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 1.71/1.23 thf(zip_derived_cl129, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ (add @ X1 @ n1) @ n1) @
% 1.71/1.23 (add @ (inverse @ X0) @ (multiply @ n1 @ (inverse @ X0))))
% 1.71/1.23 = (add @ (inverse @ X0) @ (multiply @ n1 @ (inverse @ X0))))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl55])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl9, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (inverse @ X0)) = (inverse @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl9, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (inverse @ X0)) = (inverse @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl147, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ n1 @ (add @ (inverse @ X0) @ (inverse @ X0)))
% 1.71/1.23 = (add @ (inverse @ X0) @ (inverse @ X0)))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl129, zip_derived_cl0, zip_derived_cl9,
% 1.71/1.23 zip_derived_cl9])).
% 1.71/1.23 thf(pixley2, axiom, (( pixley @ X @ Y @ Y ) = ( X ))).
% 1.71/1.23 thf(zip_derived_cl5, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((pixley @ X0 @ X1 @ X1) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [pixley2])).
% 1.71/1.23 thf(zip_derived_cl8, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((pixley @ X0 @ X1 @ X2)
% 1.71/1.23 = (add @ (multiply @ X0 @ (inverse @ X1)) @
% 1.71/1.23 (multiply @ X2 @ (add @ X0 @ (inverse @ X1)))))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl15, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ (pixley @ X2 @ X1 @ X0) @
% 1.71/1.23 (multiply @ X0 @ (add @ X2 @ (inverse @ X1))))
% 1.71/1.23 = (multiply @ X0 @ (add @ X2 @ (inverse @ X1))))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl224, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (multiply @ X1 @ (add @ X0 @ (inverse @ X1))))
% 1.71/1.23 = (multiply @ X1 @ (add @ X0 @ (inverse @ X1))))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl15])).
% 1.71/1.23 thf(zip_derived_cl362, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (add @ (inverse @ n1) @ (inverse @ n1)))
% 1.71/1.23 = (add @ (inverse @ n1) @ (inverse @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl224])).
% 1.71/1.23 thf(zip_derived_cl8, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((pixley @ X0 @ X1 @ X2)
% 1.71/1.23 = (add @ (multiply @ X0 @ (inverse @ X1)) @
% 1.71/1.23 (multiply @ X2 @ (add @ X0 @ (inverse @ X1)))))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl383, plain,
% 1.71/1.23 (((pixley @ (inverse @ n1) @ n1 @ (inverse @ n1))
% 1.71/1.23 = (add @ (multiply @ (inverse @ n1) @ (inverse @ n1)) @
% 1.71/1.23 (add @ (inverse @ n1) @ (inverse @ n1))))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl362, zip_derived_cl8])).
% 1.71/1.23 thf(pixley3, axiom, (( pixley @ X @ Y @ X ) = ( X ))).
% 1.71/1.23 thf(zip_derived_cl6, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((pixley @ X0 @ X1 @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [pixley3])).
% 1.71/1.23 thf(zip_derived_cl391, plain,
% 1.71/1.23 (((inverse @ n1)
% 1.71/1.23 = (add @ (multiply @ (inverse @ n1) @ (inverse @ n1)) @
% 1.71/1.23 (add @ (inverse @ n1) @ (inverse @ n1))))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl383, zip_derived_cl6])).
% 1.71/1.23 thf(zip_derived_cl391, plain,
% 1.71/1.23 (((inverse @ n1)
% 1.71/1.23 = (add @ (multiply @ (inverse @ n1) @ (inverse @ n1)) @
% 1.71/1.23 (add @ (inverse @ n1) @ (inverse @ n1))))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl383, zip_derived_cl6])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl11, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (add @ X2 @ (add @ X1 @ X0)))
% 1.71/1.23 = (add @ (multiply @ X2 @ X0) @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl403, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1))
% 1.71/1.23 = (add @
% 1.71/1.23 (multiply @ (multiply @ (inverse @ n1) @ (inverse @ n1)) @
% 1.71/1.23 (inverse @ n1)) @
% 1.71/1.23 (inverse @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl11])).
% 1.71/1.23 thf(zip_derived_cl403, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1))
% 1.71/1.23 = (add @
% 1.71/1.23 (multiply @ (multiply @ (inverse @ n1) @ (inverse @ n1)) @
% 1.71/1.23 (inverse @ n1)) @
% 1.71/1.23 (inverse @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl11])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl510, plain,
% 1.71/1.23 (((multiply @ (multiply @ (inverse @ n1) @ (inverse @ n1)) @
% 1.71/1.23 (inverse @ n1)) = (inverse @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl554, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1))
% 1.71/1.23 = (add @ (inverse @ n1) @ (inverse @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl510])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl554, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1))
% 1.71/1.23 = (add @ (inverse @ n1) @ (inverse @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl510])).
% 1.71/1.23 thf(zip_derived_cl568, plain,
% 1.71/1.23 (((inverse @ n1)
% 1.71/1.23 = (multiply @ (inverse @ n1) @
% 1.71/1.23 (multiply @ (inverse @ n1) @ (inverse @ n1))))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl391, zip_derived_cl554, zip_derived_cl1,
% 1.71/1.23 zip_derived_cl554])).
% 1.71/1.23 thf(zip_derived_cl55, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X0 @ n1) @ (multiply @ (inverse @ X1) @ X0))
% 1.71/1.23 = (multiply @ (inverse @ X1) @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 1.71/1.23 thf(zip_derived_cl20, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((X1)
% 1.71/1.23 = (add @ (multiply @ X0 @ (inverse @ X0)) @ (multiply @ X1 @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl4])).
% 1.71/1.23 thf(zip_derived_cl10, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X2 @ (add @ X1 @ X0)) @ (multiply @ X0 @ X2))
% 1.71/1.23 = (multiply @ X0 @ X2))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl60, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X1 @ X0) @
% 1.71/1.23 (multiply @ (multiply @ X0 @ n1) @ X1))
% 1.71/1.23 = (multiply @ (multiply @ X0 @ n1) @ X1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl10])).
% 1.71/1.23 thf(zip_derived_cl253, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ (multiply @ (inverse @ X1) @ X0) @ X0) @
% 1.71/1.23 (multiply @ (inverse @ X1) @ X0)) = (multiply @ (inverse @ X1) @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl60])).
% 1.71/1.23 thf(zip_derived_cl634, plain,
% 1.71/1.23 (((multiply @
% 1.71/1.23 (multiply @ (inverse @ n1) @
% 1.71/1.23 (multiply @ (inverse @ n1) @ (inverse @ n1))) @
% 1.71/1.23 (inverse @ n1)) = (inverse @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl568, zip_derived_cl253])).
% 1.71/1.23 thf(zip_derived_cl568, plain,
% 1.71/1.23 (((inverse @ n1)
% 1.71/1.23 = (multiply @ (inverse @ n1) @
% 1.71/1.23 (multiply @ (inverse @ n1) @ (inverse @ n1))))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl391, zip_derived_cl554, zip_derived_cl1,
% 1.71/1.23 zip_derived_cl554])).
% 1.71/1.23 thf(zip_derived_cl637, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1)) = (inverse @ n1))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl634, zip_derived_cl568])).
% 1.71/1.23 thf(zip_derived_cl2, plain,
% 1.71/1.23 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (n1))),
% 1.71/1.23 inference('cnf', [status(esa)], [additive_inverse])).
% 1.71/1.23 thf(zip_derived_cl2, plain,
% 1.71/1.23 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (n1))),
% 1.71/1.23 inference('cnf', [status(esa)], [additive_inverse])).
% 1.71/1.23 thf(zip_derived_cl13, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (add @ (add @ X2 @ X0) @ X1))
% 1.71/1.23 = (add @ X0 @ (multiply @ X1 @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl96, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ X0 @ n1)
% 1.71/1.23 = (add @ X0 @ (multiply @ (inverse @ (add @ X1 @ X0)) @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.71/1.23 thf(zip_derived_cl198, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ (inverse @ X0) @ n1)
% 1.71/1.23 = (add @ (inverse @ X0) @
% 1.71/1.23 (multiply @ (inverse @ n1) @ (inverse @ X0))))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl96])).
% 1.71/1.23 thf(zip_derived_cl653, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ n1)
% 1.71/1.23 = (add @ (inverse @ n1) @ (inverse @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl637, zip_derived_cl198])).
% 1.71/1.23 thf(zip_derived_cl554, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1))
% 1.71/1.23 = (add @ (inverse @ n1) @ (inverse @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl510])).
% 1.71/1.23 thf(zip_derived_cl637, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1)) = (inverse @ n1))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl634, zip_derived_cl568])).
% 1.71/1.23 thf(zip_derived_cl640, plain,
% 1.71/1.23 (((inverse @ n1) = (add @ (inverse @ n1) @ (inverse @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl554, zip_derived_cl637])).
% 1.71/1.23 thf(zip_derived_cl929, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ n1) = (inverse @ n1))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl653, zip_derived_cl640])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl931, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ n1 @ (add @ (inverse @ n1) @ X0))
% 1.71/1.23 = (add @ (inverse @ n1) @ (multiply @ X0 @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl929, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl23, plain,
% 1.71/1.23 (![X0 : $i]: ((X0) = (add @ (inverse @ n1) @ (multiply @ X0 @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl20])).
% 1.71/1.23 thf(zip_derived_cl952, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (add @ (inverse @ n1) @ X0)) = (X0))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl23])).
% 1.71/1.23 thf(zip_derived_cl97, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ n1)) = (add @ X1 @ (multiply @ n1 @ X1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl13])).
% 1.71/1.23 thf(zip_derived_cl31, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((add @ X1 @ n1) = (add @ X0 @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl28])).
% 1.71/1.23 thf(zip_derived_cl952, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (add @ (inverse @ n1) @ X0)) = (X0))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl23])).
% 1.71/1.23 thf(zip_derived_cl1005, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (add @ X0 @ n1)) = (n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl952])).
% 1.71/1.23 thf(zip_derived_cl20, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((X1)
% 1.71/1.23 = (add @ (multiply @ X0 @ (inverse @ X0)) @ (multiply @ X1 @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl4])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl21, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (multiply @ X0 @ n1)) = (multiply @ X0 @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl21, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (multiply @ X0 @ n1)) = (multiply @ X0 @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl24, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X0 @ n1) @ (add @ X0 @ X1))
% 1.71/1.23 = (add @ (multiply @ X0 @ n1) @
% 1.71/1.23 (multiply @ X1 @ (multiply @ X0 @ n1))))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl413, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X0 @ n1) @ (add @ X0 @ X0))
% 1.71/1.23 = (add @ (multiply @ X0 @ n1) @ (multiply @ X0 @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl24])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl423, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X0 @ n1) @ (add @ X0 @ X0))
% 1.71/1.23 = (multiply @ n1 @ (add @ X0 @ X0)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl413, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl60, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ X1 @ X0) @
% 1.71/1.23 (multiply @ (multiply @ X0 @ n1) @ X1))
% 1.71/1.23 = (multiply @ (multiply @ X0 @ n1) @ X1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl10])).
% 1.71/1.23 thf(zip_derived_cl438, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ (multiply @ (add @ X0 @ X0) @ X0) @
% 1.71/1.23 (multiply @ n1 @ (add @ X0 @ X0)))
% 1.71/1.23 = (multiply @ n1 @ (add @ X0 @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl423, zip_derived_cl60])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl450, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (multiply @ n1 @ (add @ X0 @ X0)))
% 1.71/1.23 = (multiply @ n1 @ (add @ X0 @ X0)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl438, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl1147, plain, (((multiply @ n1 @ n1) = (n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)],
% 1.71/1.23 [zip_derived_cl1005, zip_derived_cl450])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl1157, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ n1 @ (add @ X0 @ n1)) = (add @ (multiply @ X0 @ n1) @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl1147, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl1005, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (add @ X0 @ n1)) = (n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl952])).
% 1.71/1.23 thf(zip_derived_cl31, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((add @ X1 @ n1) = (add @ X0 @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl28])).
% 1.71/1.23 thf(zip_derived_cl1175, plain, (![X0 : $i]: ((n1) = (add @ X0 @ n1))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl1157, zip_derived_cl1005, zip_derived_cl31])).
% 1.71/1.23 thf(zip_derived_cl1309, plain,
% 1.71/1.23 (![X1 : $i]: ((multiply @ X1 @ n1) = (add @ X1 @ (multiply @ n1 @ X1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl1175])).
% 1.71/1.23 thf(zip_derived_cl2065, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ (add @ (inverse @ n1) @ X0) @ n1)
% 1.71/1.23 = (add @ (add @ (inverse @ n1) @ X0) @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)],
% 1.71/1.23 [zip_derived_cl952, zip_derived_cl1309])).
% 1.71/1.23 thf(zip_derived_cl23, plain,
% 1.71/1.23 (![X0 : $i]: ((X0) = (add @ (inverse @ n1) @ (multiply @ X0 @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl20])).
% 1.71/1.23 thf(zip_derived_cl952, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (add @ (inverse @ n1) @ X0)) = (X0))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl23])).
% 1.71/1.23 thf(zip_derived_cl1011, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ X0) = (multiply @ X0 @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl952])).
% 1.71/1.23 thf(zip_derived_cl952, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (add @ (inverse @ n1) @ X0)) = (X0))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl23])).
% 1.71/1.23 thf(zip_derived_cl2077, plain,
% 1.71/1.23 (![X0 : $i]: ((X0) = (add @ (add @ (inverse @ n1) @ X0) @ X0))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl2065, zip_derived_cl1011, zip_derived_cl952])).
% 1.71/1.23 thf(zip_derived_cl13, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (add @ (add @ X2 @ X0) @ X1))
% 1.71/1.23 = (add @ X0 @ (multiply @ X1 @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl2433, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ X0 @ X0) = (add @ X0 @ (multiply @ X0 @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2077, zip_derived_cl13])).
% 1.71/1.23 thf(zip_derived_cl2077, plain,
% 1.71/1.23 (![X0 : $i]: ((X0) = (add @ (add @ (inverse @ n1) @ X0) @ X0))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl2065, zip_derived_cl1011, zip_derived_cl952])).
% 1.71/1.23 thf(zip_derived_cl0, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (add @ X1 @ X0) @ X0) = (X0))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add])).
% 1.71/1.23 thf(zip_derived_cl2410, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2077, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl2410, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2077, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl2659, plain, (![X0 : $i]: ((X0) = (add @ X0 @ X0))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl2433, zip_derived_cl2410, zip_derived_cl2410])).
% 1.71/1.23 thf(zip_derived_cl1, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ X2))
% 1.71/1.23 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.71/1.23 inference('cnf', [status(esa)], [multiply_add_property])).
% 1.71/1.23 thf(zip_derived_cl2688, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (add @ X1 @ X1)) = (multiply @ X1 @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2659, zip_derived_cl1])).
% 1.71/1.23 thf(zip_derived_cl2659, plain, (![X0 : $i]: ((X0) = (add @ X0 @ X0))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl2433, zip_derived_cl2410, zip_derived_cl2410])).
% 1.71/1.23 thf(zip_derived_cl2701, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl2688, zip_derived_cl2659])).
% 1.71/1.23 thf(zip_derived_cl2, plain,
% 1.71/1.23 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (n1))),
% 1.71/1.23 inference('cnf', [status(esa)], [additive_inverse])).
% 1.71/1.23 thf(zip_derived_cl952, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (add @ (inverse @ n1) @ X0)) = (X0))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl23])).
% 1.71/1.23 thf(zip_derived_cl1004, plain,
% 1.71/1.23 (((multiply @ n1 @ n1) = (inverse @ (inverse @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl952])).
% 1.71/1.23 thf(zip_derived_cl1147, plain, (((multiply @ n1 @ n1) = (n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)],
% 1.71/1.23 [zip_derived_cl1005, zip_derived_cl450])).
% 1.71/1.23 thf(zip_derived_cl1155, plain, (((n1) = (inverse @ (inverse @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl1004, zip_derived_cl1147])).
% 1.71/1.23 thf(zip_derived_cl224, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (multiply @ X1 @ (add @ X0 @ (inverse @ X1))))
% 1.71/1.23 = (multiply @ X1 @ (add @ X0 @ (inverse @ X1))))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl15])).
% 1.71/1.23 thf(zip_derived_cl1212, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (multiply @ (inverse @ n1) @ (add @ X0 @ n1)))
% 1.71/1.23 = (multiply @ (inverse @ n1) @ (add @ X0 @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)],
% 1.71/1.23 [zip_derived_cl1155, zip_derived_cl224])).
% 1.71/1.23 thf(zip_derived_cl554, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1))
% 1.71/1.23 = (add @ (inverse @ n1) @ (inverse @ n1)))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl510])).
% 1.71/1.23 thf(zip_derived_cl9, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (inverse @ X0)) = (inverse @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl97, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ X1 @ (add @ X0 @ n1)) = (add @ X1 @ (multiply @ n1 @ X1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl13])).
% 1.71/1.23 thf(zip_derived_cl140, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ (inverse @ X0) @ (add @ X1 @ n1))
% 1.71/1.23 = (add @ (inverse @ X0) @ (inverse @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl97])).
% 1.71/1.23 thf(zip_derived_cl582, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ (inverse @ n1) @ (add @ X0 @ n1))
% 1.71/1.23 = (multiply @ (inverse @ n1) @ (inverse @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl140])).
% 1.71/1.23 thf(zip_derived_cl637, plain,
% 1.71/1.23 (((multiply @ (inverse @ n1) @ (inverse @ n1)) = (inverse @ n1))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl634, zip_derived_cl568])).
% 1.71/1.23 thf(zip_derived_cl642, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ (inverse @ n1) @ (add @ X0 @ n1)) = (inverse @ n1))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl582, zip_derived_cl637])).
% 1.71/1.23 thf(zip_derived_cl642, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((multiply @ (inverse @ n1) @ (add @ X0 @ n1)) = (inverse @ n1))),
% 1.71/1.23 inference('demod', [status(thm)], [zip_derived_cl582, zip_derived_cl637])).
% 1.71/1.23 thf(zip_derived_cl1232, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ X0 @ (inverse @ n1)) = (inverse @ n1))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl1212, zip_derived_cl642, zip_derived_cl642])).
% 1.71/1.23 thf(zip_derived_cl2734, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ (inverse @ n1) @ X0) = (inverse @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)],
% 1.71/1.23 [zip_derived_cl2701, zip_derived_cl1232])).
% 1.71/1.23 thf(zip_derived_cl224, plain,
% 1.71/1.23 (![X0 : $i, X1 : $i]:
% 1.71/1.23 ((multiply @ X0 @ (multiply @ X1 @ (add @ X0 @ (inverse @ X1))))
% 1.71/1.23 = (multiply @ X1 @ (add @ X0 @ (inverse @ X1))))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl15])).
% 1.71/1.23 thf(zip_derived_cl2867, plain,
% 1.71/1.23 (![X0 : $i]:
% 1.71/1.23 ((inverse @ n1)
% 1.71/1.23 = (multiply @ X0 @ (add @ (inverse @ n1) @ (inverse @ X0))))),
% 1.71/1.23 inference('s_sup+', [status(thm)],
% 1.71/1.23 [zip_derived_cl2734, zip_derived_cl224])).
% 1.71/1.23 thf(zip_derived_cl9, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ (inverse @ X0)) = (inverse @ X0))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.71/1.23 thf(zip_derived_cl1011, plain,
% 1.71/1.23 (![X0 : $i]: ((multiply @ n1 @ X0) = (multiply @ X0 @ n1))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl952])).
% 1.71/1.23 thf(zip_derived_cl23, plain,
% 1.71/1.23 (![X0 : $i]: ((X0) = (add @ (inverse @ n1) @ (multiply @ X0 @ n1)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl20])).
% 1.71/1.23 thf(zip_derived_cl1085, plain,
% 1.71/1.23 (![X0 : $i]: ((X0) = (add @ (inverse @ n1) @ (multiply @ n1 @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl1011, zip_derived_cl23])).
% 1.71/1.23 thf(zip_derived_cl1813, plain,
% 1.71/1.23 (![X0 : $i]: ((inverse @ X0) = (add @ (inverse @ n1) @ (inverse @ X0)))),
% 1.71/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1085])).
% 1.71/1.23 thf(zip_derived_cl2917, plain,
% 1.71/1.23 (![X0 : $i]: ((inverse @ n1) = (multiply @ X0 @ (inverse @ X0)))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl2867, zip_derived_cl1813])).
% 1.71/1.23 thf(zip_derived_cl2917, plain,
% 1.71/1.23 (![X0 : $i]: ((inverse @ n1) = (multiply @ X0 @ (inverse @ X0)))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl2867, zip_derived_cl1813])).
% 1.71/1.23 thf(zip_derived_cl3244, plain, (((inverse @ n1) != (inverse @ n1))),
% 1.71/1.23 inference('demod', [status(thm)],
% 1.71/1.23 [zip_derived_cl7, zip_derived_cl2917, zip_derived_cl2917])).
% 1.71/1.23 thf(zip_derived_cl3245, plain, ($false),
% 1.71/1.23 inference('simplify', [status(thm)], [zip_derived_cl3244])).
% 1.71/1.23
% 1.71/1.23 % SZS output end Refutation
% 1.71/1.23
% 1.71/1.23
% 1.71/1.23 % Terminating...
% 4.73/1.35 % Runner terminated.
% 4.73/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------