TSTP Solution File: BOO015-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO015-2 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y5FLvLTgrK true
% Computer : n029.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 18:13:20 EDT 2023
% Result : Unsatisfiable 17.67s 3.17s
% Output : Refutation 17.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO015-2 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y5FLvLTgrK true
% 0.13/0.34 % Computer : n029.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 : Sun Aug 27 08:59:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /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
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 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/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 17.67/3.17 % Solved by fo/fo1_av.sh.
% 17.67/3.17 % done 818 iterations in 2.407s
% 17.67/3.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.67/3.17 % SZS output start Refutation
% 17.67/3.17 thf(multiply_type, type, multiply: $i > $i > $i).
% 17.67/3.17 thf(d_type, type, d: $i).
% 17.67/3.17 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 17.67/3.17 thf(a_type, type, a: $i).
% 17.67/3.17 thf(b_type, type, b: $i).
% 17.67/3.17 thf(c_type, type, c: $i).
% 17.67/3.17 thf(add_type, type, add: $i > $i > $i).
% 17.67/3.17 thf(inverse_type, type, inverse: $i > $i).
% 17.67/3.17 thf(additive_identity_type, type, additive_identity: $i).
% 17.67/3.17 thf(a_times_b_is_c, axiom, (( multiply @ a @ b ) = ( c ))).
% 17.67/3.17 thf(zip_derived_cl14, plain, (((multiply @ a @ b) = (c))),
% 17.67/3.17 inference('cnf', [status(esa)], [a_times_b_is_c])).
% 17.67/3.17 thf(commutativity_of_multiply, axiom,
% 17.67/3.17 (( multiply @ X @ Y ) = ( multiply @ Y @ X ))).
% 17.67/3.17 thf(zip_derived_cl1, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 17.67/3.17 thf(multiplicative_id2, axiom,
% 17.67/3.17 (( multiply @ multiplicative_identity @ X ) = ( X ))).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(distributivity3, axiom,
% 17.67/3.17 (( multiply @ ( add @ X @ Y ) @ Z ) =
% 17.67/3.17 ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 17.67/3.17 thf(zip_derived_cl4, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ X2) @ X1)
% 17.67/3.17 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity3])).
% 17.67/3.17 thf(zip_derived_cl101, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ multiplicative_identity) @ X0)
% 17.67/3.17 = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 17.67/3.17 thf(additive_id2, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(distributivity1, axiom,
% 17.67/3.17 (( add @ ( multiply @ X @ Y ) @ Z ) =
% 17.67/3.17 ( multiply @ ( add @ X @ Z ) @ ( add @ Y @ Z ) ))).
% 17.67/3.17 thf(zip_derived_cl2, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity1])).
% 17.67/3.17 thf(zip_derived_cl31, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X1 @ additive_identity) @ X0)
% 17.67/3.17 = (multiply @ (add @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl167, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ (multiply @ additive_identity @ additive_identity) @ X0)
% 17.67/3.17 = (multiply @ X0 @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl31])).
% 17.67/3.17 thf(additive_inverse2, axiom,
% 17.67/3.17 (( add @ ( inverse @ X ) @ X ) = ( multiplicative_identity ))).
% 17.67/3.17 thf(zip_derived_cl7, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse2])).
% 17.67/3.17 thf(zip_derived_cl101, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ multiplicative_identity) @ X0)
% 17.67/3.17 = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 17.67/3.17 thf(zip_derived_cl550, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiply @ multiplicative_identity @ X0)
% 17.67/3.17 = (add @ (multiply @ (inverse @ multiplicative_identity) @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl101])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(multiplicative_inverse1, axiom,
% 17.67/3.17 (( multiply @ X @ ( inverse @ X ) ) = ( additive_identity ))).
% 17.67/3.17 thf(zip_derived_cl8, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 17.67/3.17 thf(zip_derived_cl54, plain,
% 17.67/3.17 (((inverse @ multiplicative_identity) = (additive_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 17.67/3.17 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 17.67/3.17 thf(zip_derived_cl0, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_add])).
% 17.67/3.17 thf(zip_derived_cl569, plain,
% 17.67/3.17 (![X0 : $i]: ((X0) = (add @ X0 @ (multiply @ additive_identity @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl550, zip_derived_cl11, zip_derived_cl54,
% 17.67/3.17 zip_derived_cl0])).
% 17.67/3.17 thf(zip_derived_cl167, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ (multiply @ additive_identity @ additive_identity) @ X0)
% 17.67/3.17 = (multiply @ X0 @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl31])).
% 17.67/3.17 thf(zip_derived_cl0, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_add])).
% 17.67/3.17 thf(zip_derived_cl198, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ X0 @ (multiply @ additive_identity @ additive_identity))
% 17.67/3.17 = (multiply @ X0 @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl0])).
% 17.67/3.17 thf(zip_derived_cl633, plain,
% 17.67/3.17 (((additive_identity)
% 17.67/3.17 = (multiply @ additive_identity @ additive_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl569, zip_derived_cl198])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(zip_derived_cl646, plain, (![X0 : $i]: ((X0) = (multiply @ X0 @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl167, zip_derived_cl633, zip_derived_cl13])).
% 17.67/3.17 thf(zip_derived_cl101, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ multiplicative_identity) @ X0)
% 17.67/3.17 = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 17.67/3.17 thf(zip_derived_cl674, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ multiplicative_identity) @ X0)
% 17.67/3.17 = (add @ X0 @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl646, zip_derived_cl101])).
% 17.67/3.17 thf(multiplicative_inverse2, axiom,
% 17.67/3.17 (( multiply @ ( inverse @ X ) @ X ) = ( additive_identity ))).
% 17.67/3.17 thf(zip_derived_cl9, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (additive_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 17.67/3.17 thf(zip_derived_cl31, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X1 @ additive_identity) @ X0)
% 17.67/3.17 = (multiply @ (add @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 17.67/3.17 thf(multiplicative_id1, axiom,
% 17.67/3.17 (( multiply @ X @ multiplicative_identity ) = ( X ))).
% 17.67/3.17 thf(zip_derived_cl10, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id1])).
% 17.67/3.17 thf(zip_derived_cl157, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ additive_identity) @ multiplicative_identity)
% 17.67/3.17 = (add @ X0 @ multiplicative_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl10])).
% 17.67/3.17 thf(zip_derived_cl427, plain,
% 17.67/3.17 (((add @ additive_identity @ multiplicative_identity)
% 17.67/3.17 = (add @ (inverse @ additive_identity) @ multiplicative_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl157])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(additive_inverse1, axiom,
% 17.67/3.17 (( add @ X @ ( inverse @ X ) ) = ( multiplicative_identity ))).
% 17.67/3.17 thf(zip_derived_cl6, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse1])).
% 17.67/3.17 thf(zip_derived_cl42, plain,
% 17.67/3.17 (((inverse @ additive_identity) = (multiplicative_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl6])).
% 17.67/3.17 thf(zip_derived_cl431, plain,
% 17.67/3.17 (((multiplicative_identity)
% 17.67/3.17 = (add @ multiplicative_identity @ multiplicative_identity))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl427, zip_derived_cl13, zip_derived_cl42])).
% 17.67/3.17 thf(zip_derived_cl101, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ multiplicative_identity) @ X0)
% 17.67/3.17 = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 17.67/3.17 thf(zip_derived_cl551, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiply @ multiplicative_identity @ X0)
% 17.67/3.17 = (add @ (multiply @ multiplicative_identity @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl431, zip_derived_cl101])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl570, plain, (![X0 : $i]: ((X0) = (add @ X0 @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl551, zip_derived_cl11, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl685, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ multiplicative_identity) @ X0) = (X0))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl674, zip_derived_cl570])).
% 17.67/3.17 thf(zip_derived_cl1, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 17.67/3.17 thf(zip_derived_cl824, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiply @ X0 @ (add @ X0 @ multiplicative_identity)) = (X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl685, zip_derived_cl1])).
% 17.67/3.17 thf(zip_derived_cl7, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse2])).
% 17.67/3.17 thf(zip_derived_cl2, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity1])).
% 17.67/3.17 thf(zip_derived_cl47, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ (inverse @ X0) @ X1) @ X0)
% 17.67/3.17 = (multiply @ multiplicative_identity @ (add @ X1 @ X0)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl52, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ (inverse @ X0) @ X1) @ X0) = (add @ X1 @ X0))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1411, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ (inverse @ X0) @ X0)
% 17.67/3.17 = (add @ (add @ (inverse @ X0) @ multiplicative_identity) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl824, zip_derived_cl52])).
% 17.67/3.17 thf(zip_derived_cl7, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse2])).
% 17.67/3.17 thf(zip_derived_cl0, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_add])).
% 17.67/3.17 thf(zip_derived_cl10, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id1])).
% 17.67/3.17 thf(zip_derived_cl6, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse1])).
% 17.67/3.17 thf(zip_derived_cl2, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity1])).
% 17.67/3.17 thf(zip_derived_cl40, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X1) @ (inverse @ X0))
% 17.67/3.17 = (multiply @ multiplicative_identity @ (add @ X1 @ (inverse @ X0))))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl43, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X1) @ (inverse @ X0))
% 17.67/3.17 = (add @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1184, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ X0 @ (inverse @ X0))
% 17.67/3.17 = (add @ multiplicative_identity @ (inverse @ X0)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl43])).
% 17.67/3.17 thf(zip_derived_cl6, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse1])).
% 17.67/3.17 thf(zip_derived_cl1208, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiplicative_identity)
% 17.67/3.17 = (add @ multiplicative_identity @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl1184, zip_derived_cl6])).
% 17.67/3.17 thf(zip_derived_cl1422, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiplicative_identity) = (add @ multiplicative_identity @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl1411, zip_derived_cl7, zip_derived_cl0,
% 17.67/3.17 zip_derived_cl1208])).
% 17.67/3.17 thf(zip_derived_cl0, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_add])).
% 17.67/3.17 thf(zip_derived_cl1445, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ X0 @ multiplicative_identity) = (multiplicative_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl1422, zip_derived_cl0])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl1477, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl101, zip_derived_cl1445, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1574, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X1) = (add @ (multiply @ X1 @ X0) @ X1))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1477])).
% 17.67/3.17 thf(zip_derived_cl2036, plain, (((a) = (add @ c @ a))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1574])).
% 17.67/3.17 thf(zip_derived_cl8, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 17.67/3.17 thf(zip_derived_cl4, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ X2) @ X1)
% 17.67/3.17 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity3])).
% 17.67/3.17 thf(zip_derived_cl96, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ X0) @ (inverse @ X0))
% 17.67/3.17 = (add @ (multiply @ X1 @ (inverse @ X0)) @ additive_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 17.67/3.17 thf(additive_id1, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 17.67/3.17 thf(zip_derived_cl12, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id1])).
% 17.67/3.17 thf(zip_derived_cl112, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ X0) @ (inverse @ X0))
% 17.67/3.17 = (multiply @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl5926, plain,
% 17.67/3.17 (((multiply @ a @ (inverse @ a)) = (multiply @ c @ (inverse @ a)))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl2036, zip_derived_cl112])).
% 17.67/3.17 thf(zip_derived_cl8, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 17.67/3.17 thf(zip_derived_cl5956, plain,
% 17.67/3.17 (((additive_identity) = (multiply @ c @ (inverse @ a)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl5926, zip_derived_cl8])).
% 17.67/3.17 thf(zip_derived_cl43, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X1) @ (inverse @ X0))
% 17.67/3.17 = (add @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl6210, plain,
% 17.67/3.17 (((add @ additive_identity @ (inverse @ c))
% 17.67/3.17 = (add @ (inverse @ a) @ (inverse @ c)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl5956, zip_derived_cl43])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(zip_derived_cl6239, plain,
% 17.67/3.17 (((inverse @ c) = (add @ (inverse @ a) @ (inverse @ c)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl6210, zip_derived_cl13])).
% 17.67/3.17 thf(zip_derived_cl12, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id1])).
% 17.67/3.17 thf(distributivity2, axiom,
% 17.67/3.17 (( add @ X @ ( multiply @ Y @ Z ) ) =
% 17.67/3.17 ( multiply @ ( add @ X @ Y ) @ ( add @ X @ Z ) ))).
% 17.67/3.17 thf(zip_derived_cl3, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ X0 @ (multiply @ X1 @ X2))
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity2])).
% 17.67/3.17 thf(zip_derived_cl65, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ X0 @ (multiply @ X1 @ additive_identity))
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl3])).
% 17.67/3.17 thf(zip_derived_cl1477, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl101, zip_derived_cl1445, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl12, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id1])).
% 17.67/3.17 thf(zip_derived_cl1569, plain,
% 17.67/3.17 (![X0 : $i]: ((additive_identity) = (multiply @ X0 @ additive_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl1477, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl12, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id1])).
% 17.67/3.17 thf(zip_derived_cl2111, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (add @ X0 @ X1) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl65, zip_derived_cl1569, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl6264, plain,
% 17.67/3.17 (((inverse @ a) = (multiply @ (inverse @ c) @ (inverse @ a)))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl6239, zip_derived_cl2111])).
% 17.67/3.17 thf(a_inverse_plus_b_inverse_is_d, axiom,
% 17.67/3.17 (( add @ ( inverse @ a ) @ ( inverse @ b ) ) = ( d ))).
% 17.67/3.17 thf(zip_derived_cl15, plain, (((add @ (inverse @ a) @ (inverse @ b)) = (d))),
% 17.67/3.17 inference('cnf', [status(esa)], [a_inverse_plus_b_inverse_is_d])).
% 17.67/3.17 thf(zip_derived_cl2, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity1])).
% 17.67/3.17 thf(zip_derived_cl30, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ (inverse @ a)) @ (inverse @ b))
% 17.67/3.17 = (multiply @ (add @ X0 @ (inverse @ b)) @ d))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl1, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 17.67/3.17 thf(zip_derived_cl38, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ (inverse @ a)) @ (inverse @ b))
% 17.67/3.17 = (multiply @ d @ (add @ X0 @ (inverse @ b))))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 17.67/3.17 thf(zip_derived_cl12408, plain,
% 17.67/3.17 (((add @ (inverse @ a) @ (inverse @ b))
% 17.67/3.17 = (multiply @ d @ (add @ (inverse @ c) @ (inverse @ b))))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl6264, zip_derived_cl38])).
% 17.67/3.17 thf(zip_derived_cl15, plain, (((add @ (inverse @ a) @ (inverse @ b)) = (d))),
% 17.67/3.17 inference('cnf', [status(esa)], [a_inverse_plus_b_inverse_is_d])).
% 17.67/3.17 thf(zip_derived_cl14, plain, (((multiply @ a @ b) = (c))),
% 17.67/3.17 inference('cnf', [status(esa)], [a_times_b_is_c])).
% 17.67/3.17 thf(zip_derived_cl1477, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl101, zip_derived_cl1445, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1588, plain, (((b) = (add @ c @ b))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1477])).
% 17.67/3.17 thf(zip_derived_cl112, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ X0) @ (inverse @ X0))
% 17.67/3.17 = (multiply @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl5927, plain,
% 17.67/3.17 (((multiply @ b @ (inverse @ b)) = (multiply @ c @ (inverse @ b)))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl1588, zip_derived_cl112])).
% 17.67/3.17 thf(zip_derived_cl8, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 17.67/3.17 thf(zip_derived_cl5957, plain,
% 17.67/3.17 (((additive_identity) = (multiply @ c @ (inverse @ b)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl5927, zip_derived_cl8])).
% 17.67/3.17 thf(zip_derived_cl7, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse2])).
% 17.67/3.17 thf(zip_derived_cl3, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ X0 @ (multiply @ X1 @ X2))
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity2])).
% 17.67/3.17 thf(zip_derived_cl73, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (inverse @ X1) @ (multiply @ X1 @ X0))
% 17.67/3.17 = (multiply @ multiplicative_identity @ (add @ (inverse @ X1) @ X0)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl81, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (inverse @ X1) @ (multiply @ X1 @ X0))
% 17.67/3.17 = (add @ (inverse @ X1) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl6388, plain,
% 17.67/3.17 (((add @ (inverse @ c) @ additive_identity)
% 17.67/3.17 = (add @ (inverse @ c) @ (inverse @ b)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl5957, zip_derived_cl81])).
% 17.67/3.17 thf(zip_derived_cl12, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id1])).
% 17.67/3.17 thf(zip_derived_cl6417, plain,
% 17.67/3.17 (((inverse @ c) = (add @ (inverse @ c) @ (inverse @ b)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl6388, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl15, plain, (((add @ (inverse @ a) @ (inverse @ b)) = (d))),
% 17.67/3.17 inference('cnf', [status(esa)], [a_inverse_plus_b_inverse_is_d])).
% 17.67/3.17 thf(zip_derived_cl2111, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (add @ X0 @ X1) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl65, zip_derived_cl1569, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl2148, plain,
% 17.67/3.17 (((inverse @ a) = (multiply @ d @ (inverse @ a)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl2111])).
% 17.67/3.17 thf(zip_derived_cl7, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse2])).
% 17.67/3.17 thf(zip_derived_cl2, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity1])).
% 17.67/3.17 thf(zip_derived_cl49, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X1 @ (inverse @ X0)) @ X0)
% 17.67/3.17 = (multiply @ (add @ X1 @ X0) @ multiplicative_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl10, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id1])).
% 17.67/3.17 thf(zip_derived_cl53, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (add @ X1 @ X0))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl10])).
% 17.67/3.17 thf(zip_derived_cl2415, plain, (((add @ (inverse @ a) @ a) = (add @ d @ a))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl2148, zip_derived_cl53])).
% 17.67/3.17 thf(zip_derived_cl7, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse2])).
% 17.67/3.17 thf(zip_derived_cl0, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_add])).
% 17.67/3.17 thf(zip_derived_cl2420, plain, (((multiplicative_identity) = (add @ a @ d))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl2415, zip_derived_cl7, zip_derived_cl0])).
% 17.67/3.17 thf(zip_derived_cl112, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ X0) @ (inverse @ X0))
% 17.67/3.17 = (multiply @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl5919, plain,
% 17.67/3.17 (((multiply @ multiplicative_identity @ (inverse @ d))
% 17.67/3.17 = (multiply @ a @ (inverse @ d)))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl2420, zip_derived_cl112])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl5951, plain,
% 17.67/3.17 (((inverse @ d) = (multiply @ a @ (inverse @ d)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl5919, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1574, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X1) = (add @ (multiply @ X1 @ X0) @ X1))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1477])).
% 17.67/3.17 thf(zip_derived_cl6000, plain, (((a) = (add @ (inverse @ d) @ a))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl5951, zip_derived_cl1574])).
% 17.67/3.17 thf(zip_derived_cl14, plain, (((multiply @ a @ b) = (c))),
% 17.67/3.17 inference('cnf', [status(esa)], [a_times_b_is_c])).
% 17.67/3.17 thf(zip_derived_cl4, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ X2) @ X1)
% 17.67/3.17 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity3])).
% 17.67/3.17 thf(zip_derived_cl102, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ a) @ b) = (add @ (multiply @ X0 @ b) @ c))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl4])).
% 17.67/3.17 thf(zip_derived_cl0, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_add])).
% 17.67/3.17 thf(zip_derived_cl115, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ a) @ b) = (add @ c @ (multiply @ X0 @ b)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl0])).
% 17.67/3.17 thf(zip_derived_cl6468, plain,
% 17.67/3.17 (((multiply @ a @ b) = (add @ c @ (multiply @ (inverse @ d) @ b)))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl6000, zip_derived_cl115])).
% 17.67/3.17 thf(zip_derived_cl14, plain, (((multiply @ a @ b) = (c))),
% 17.67/3.17 inference('cnf', [status(esa)], [a_times_b_is_c])).
% 17.67/3.17 thf(zip_derived_cl1, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 17.67/3.17 thf(zip_derived_cl1477, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl101, zip_derived_cl1445, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl15, plain, (((add @ (inverse @ a) @ (inverse @ b)) = (d))),
% 17.67/3.17 inference('cnf', [status(esa)], [a_inverse_plus_b_inverse_is_d])).
% 17.67/3.17 thf(zip_derived_cl2, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity1])).
% 17.67/3.17 thf(zip_derived_cl35, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ (multiply @ (inverse @ a) @ X0) @ (inverse @ b))
% 17.67/3.17 = (multiply @ d @ (add @ X0 @ (inverse @ b))))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl1573, plain,
% 17.67/3.17 (((inverse @ b) = (multiply @ d @ (add @ (inverse @ b) @ (inverse @ b))))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl1477, zip_derived_cl35])).
% 17.67/3.17 thf(zip_derived_cl570, plain, (![X0 : $i]: ((X0) = (add @ X0 @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl551, zip_derived_cl11, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1601, plain,
% 17.67/3.17 (((inverse @ b) = (multiply @ d @ (inverse @ b)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl1573, zip_derived_cl570])).
% 17.67/3.17 thf(zip_derived_cl53, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (add @ X1 @ X0))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl10])).
% 17.67/3.17 thf(zip_derived_cl1655, plain, (((add @ (inverse @ b) @ b) = (add @ d @ b))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl1601, zip_derived_cl53])).
% 17.67/3.17 thf(zip_derived_cl7, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse2])).
% 17.67/3.17 thf(zip_derived_cl0, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_add])).
% 17.67/3.17 thf(zip_derived_cl1658, plain, (((multiplicative_identity) = (add @ b @ d))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl1655, zip_derived_cl7, zip_derived_cl0])).
% 17.67/3.17 thf(zip_derived_cl112, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X1 @ X0) @ (inverse @ X0))
% 17.67/3.17 = (multiply @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl5922, plain,
% 17.67/3.17 (((multiply @ multiplicative_identity @ (inverse @ d))
% 17.67/3.17 = (multiply @ b @ (inverse @ d)))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl1658, zip_derived_cl112])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl5953, plain,
% 17.67/3.17 (((inverse @ d) = (multiply @ b @ (inverse @ d)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl5922, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl6484, plain, (((c) = (add @ c @ (inverse @ d)))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl6468, zip_derived_cl14, zip_derived_cl1,
% 17.67/3.17 zip_derived_cl5953])).
% 17.67/3.17 thf(zip_derived_cl31, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X1 @ additive_identity) @ X0)
% 17.67/3.17 = (multiply @ (add @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl1569, plain,
% 17.67/3.17 (![X0 : $i]: ((additive_identity) = (multiply @ X0 @ additive_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl1477, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(zip_derived_cl1786, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (add @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl31, zip_derived_cl1569, zip_derived_cl13])).
% 17.67/3.17 thf(zip_derived_cl6497, plain,
% 17.67/3.17 (((inverse @ d) = (multiply @ c @ (inverse @ d)))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl6484, zip_derived_cl1786])).
% 17.67/3.17 thf(zip_derived_cl6, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse1])).
% 17.67/3.17 thf(zip_derived_cl2, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity1])).
% 17.67/3.17 thf(zip_derived_cl41, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X1 @ X0) @ (inverse @ X0))
% 17.67/3.17 = (multiply @ (add @ X1 @ (inverse @ X0)) @ multiplicative_identity))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl10, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id1])).
% 17.67/3.17 thf(zip_derived_cl44, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X1 @ X0) @ (inverse @ X0))
% 17.67/3.17 = (add @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl10])).
% 17.67/3.17 thf(zip_derived_cl6533, plain,
% 17.67/3.17 (((add @ (inverse @ d) @ (inverse @ (inverse @ d)))
% 17.67/3.17 = (add @ c @ (inverse @ (inverse @ d))))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl6497, zip_derived_cl44])).
% 17.67/3.17 thf(zip_derived_cl9, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (additive_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 17.67/3.17 thf(zip_derived_cl43, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X1) @ (inverse @ X0))
% 17.67/3.17 = (add @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1194, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ additive_identity @ (inverse @ (inverse @ X0)))
% 17.67/3.17 = (add @ X0 @ (inverse @ (inverse @ X0))))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl43])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(zip_derived_cl1210, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((inverse @ (inverse @ X0)) = (add @ X0 @ (inverse @ (inverse @ X0))))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl1194, zip_derived_cl13])).
% 17.67/3.17 thf(zip_derived_cl2111, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (add @ X0 @ X1) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl65, zip_derived_cl1569, zip_derived_cl12])).
% 17.67/3.17 thf(zip_derived_cl2134, plain,
% 17.67/3.17 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl1210, zip_derived_cl2111])).
% 17.67/3.17 thf(zip_derived_cl3, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ X0 @ (multiply @ X1 @ X2))
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity2])).
% 17.67/3.17 thf(zip_derived_cl1, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 17.67/3.17 thf(zip_derived_cl59, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((multiply @ (add @ X2 @ X0) @ (add @ X2 @ X1))
% 17.67/3.17 = (add @ X2 @ (multiply @ X1 @ X0)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 17.67/3.17 thf(zip_derived_cl0, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 17.67/3.17 inference('cnf', [status(esa)], [commutativity_of_add])).
% 17.67/3.17 thf(zip_derived_cl2, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity1])).
% 17.67/3.17 thf(zip_derived_cl32, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X2) @ X1)
% 17.67/3.17 = (multiply @ (add @ X1 @ X0) @ (add @ X2 @ X1)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 17.67/3.17 thf(zip_derived_cl1698, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ X0 @ X1) @ X1) = (add @ X1 @ (multiply @ X1 @ X0)))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl32])).
% 17.67/3.17 thf(zip_derived_cl1477, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X0) = (add @ (multiply @ X1 @ X0) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl101, zip_derived_cl1445, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1785, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]: ((X1) = (add @ X1 @ (multiply @ X1 @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl1698, zip_derived_cl1477])).
% 17.67/3.17 thf(zip_derived_cl4929, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((inverse @ (inverse @ X0)) = (add @ (inverse @ (inverse @ X0)) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl2134, zip_derived_cl1785])).
% 17.67/3.17 thf(zip_derived_cl8, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 17.67/3.17 thf(zip_derived_cl52, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((add @ (multiply @ (inverse @ X0) @ X1) @ X0) = (add @ X1 @ X0))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl1413, plain,
% 17.67/3.17 (![X0 : $i]:
% 17.67/3.17 ((add @ additive_identity @ X0)
% 17.67/3.17 = (add @ (inverse @ (inverse @ X0)) @ X0))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl52])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(zip_derived_cl1424, plain,
% 17.67/3.17 (![X0 : $i]: ((X0) = (add @ (inverse @ (inverse @ X0)) @ X0))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl1413, zip_derived_cl13])).
% 17.67/3.17 thf(zip_derived_cl4959, plain,
% 17.67/3.17 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl4929, zip_derived_cl1424])).
% 17.67/3.17 thf(zip_derived_cl7, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_inverse2])).
% 17.67/3.17 thf(zip_derived_cl4959, plain,
% 17.67/3.17 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl4929, zip_derived_cl1424])).
% 17.67/3.17 thf(zip_derived_cl6560, plain, (((multiplicative_identity) = (add @ c @ d))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl6533, zip_derived_cl4959, zip_derived_cl7,
% 17.67/3.17 zip_derived_cl4959])).
% 17.67/3.17 thf(zip_derived_cl8, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 17.67/3.17 thf(zip_derived_cl4, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ X2) @ X1)
% 17.67/3.17 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 17.67/3.17 inference('cnf', [status(esa)], [distributivity3])).
% 17.67/3.17 thf(zip_derived_cl105, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ X1) @ (inverse @ X0))
% 17.67/3.17 = (add @ additive_identity @ (multiply @ X1 @ (inverse @ X0))))),
% 17.67/3.17 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 17.67/3.17 thf(zip_derived_cl13, plain,
% 17.67/3.17 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [additive_id2])).
% 17.67/3.17 thf(zip_derived_cl116, plain,
% 17.67/3.17 (![X0 : $i, X1 : $i]:
% 17.67/3.17 ((multiply @ (add @ X0 @ X1) @ (inverse @ X0))
% 17.67/3.17 = (multiply @ X1 @ (inverse @ X0)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl105, zip_derived_cl13])).
% 17.67/3.17 thf(zip_derived_cl6728, plain,
% 17.67/3.17 (((multiply @ multiplicative_identity @ (inverse @ c))
% 17.67/3.17 = (multiply @ d @ (inverse @ c)))),
% 17.67/3.17 inference('s_sup+', [status(thm)],
% 17.67/3.17 [zip_derived_cl6560, zip_derived_cl116])).
% 17.67/3.17 thf(zip_derived_cl11, plain,
% 17.67/3.17 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 17.67/3.17 inference('cnf', [status(esa)], [multiplicative_id2])).
% 17.67/3.17 thf(zip_derived_cl6758, plain,
% 17.67/3.17 (((inverse @ c) = (multiply @ d @ (inverse @ c)))),
% 17.67/3.17 inference('demod', [status(thm)], [zip_derived_cl6728, zip_derived_cl11])).
% 17.67/3.17 thf(zip_derived_cl12441, plain, (((d) = (inverse @ c))),
% 17.67/3.17 inference('demod', [status(thm)],
% 17.67/3.17 [zip_derived_cl12408, zip_derived_cl15, zip_derived_cl6417,
% 17.67/3.17 zip_derived_cl6758])).
% 17.67/3.17 thf(prove_c_inverse_is_d, conjecture, (( inverse @ c ) = ( d ))).
% 17.67/3.17 thf(zf_stmt_0, negated_conjecture, (( inverse @ c ) != ( d )),
% 17.67/3.17 inference('cnf.neg', [status(esa)], [prove_c_inverse_is_d])).
% 17.67/3.17 thf(zip_derived_cl16, plain, (((inverse @ c) != (d))),
% 17.67/3.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.67/3.17 thf(zip_derived_cl12442, plain, ($false),
% 17.67/3.17 inference('simplify_reflect-', [status(thm)],
% 17.67/3.17 [zip_derived_cl12441, zip_derived_cl16])).
% 17.67/3.17
% 17.67/3.17 % SZS output end Refutation
% 17.67/3.17
% 17.67/3.17
% 17.67/3.17 % Terminating...
% 18.16/3.25 % Runner terminated.
% 18.16/3.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------