TSTP Solution File: RNG008-7 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gcjfkoBFKD true
% Computer : n021.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 14:06:17 EDT 2023
% Result : Unsatisfiable 6.25s 1.53s
% Output : Refutation 6.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gcjfkoBFKD true
% 0.13/0.34 % Computer : n021.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 02:08:12 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 6.25/1.53 % Solved by fo/fo5.sh.
% 6.25/1.53 % done 519 iterations in 0.748s
% 6.25/1.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.25/1.53 % SZS output start Refutation
% 6.25/1.53 thf(b_type, type, b: $i).
% 6.25/1.53 thf(c_type, type, c: $i).
% 6.25/1.53 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.25/1.53 thf(additive_identity_type, type, additive_identity: $i).
% 6.25/1.53 thf(add_type, type, add: $i > $i > $i).
% 6.25/1.53 thf(a_type, type, a: $i).
% 6.25/1.53 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 6.25/1.53 thf(a_times_b_is_c, conjecture, (( multiply @ a @ b ) != ( c ))).
% 6.25/1.53 thf(zf_stmt_0, negated_conjecture, (( multiply @ a @ b ) = ( c )),
% 6.25/1.53 inference('cnf.neg', [status(esa)], [a_times_b_is_c])).
% 6.25/1.53 thf(zip_derived_cl10, plain, (((multiply @ a @ b) = (c))),
% 6.25/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.25/1.53 thf(boolean_ring, axiom, (( multiply @ X @ X ) = ( X ))).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(distribute2, axiom,
% 6.25/1.53 (( multiply @ ( add @ X @ Y ) @ Z ) =
% 6.25/1.53 ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 6.25/1.53 thf(zip_derived_cl8, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ (add @ X0 @ X2) @ X1)
% 6.25/1.53 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 6.25/1.53 inference('cnf', [status(esa)], [distribute2])).
% 6.25/1.53 thf(zip_derived_cl103, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ X0) @ X0) = (add @ (multiply @ X1 @ X0) @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl8])).
% 6.25/1.53 thf(commutativity_for_addition, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 6.25/1.53 thf(zip_derived_cl5, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 6.25/1.53 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl115, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ X0) @ X0) = (add @ X0 @ (multiply @ X1 @ X0)))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl5])).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(associativity_for_multiplication, axiom,
% 6.25/1.53 (( multiply @ X @ ( multiply @ Y @ Z ) ) =
% 6.25/1.53 ( multiply @ ( multiply @ X @ Y ) @ Z ))).
% 6.25/1.53 thf(zip_derived_cl6, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 6.25/1.53 = (multiply @ (multiply @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_multiplication])).
% 6.25/1.53 thf(zip_derived_cl63, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (multiply @ X0 @ X1)) = (multiply @ X0 @ X1))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 6.25/1.53 thf(zip_derived_cl8, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ (add @ X0 @ X2) @ X1)
% 6.25/1.53 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 6.25/1.53 inference('cnf', [status(esa)], [distribute2])).
% 6.25/1.53 thf(zip_derived_cl120, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ X2) @ (multiply @ X1 @ X0))
% 6.25/1.53 = (add @ (multiply @ X1 @ X0) @
% 6.25/1.53 (multiply @ X2 @ (multiply @ X1 @ X0))))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl8])).
% 6.25/1.53 thf(distribute1, axiom,
% 6.25/1.53 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 6.25/1.53 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 6.25/1.53 thf(zip_derived_cl7, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (add @ X1 @ X2))
% 6.25/1.53 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 6.25/1.53 inference('cnf', [status(esa)], [distribute1])).
% 6.25/1.53 thf(zip_derived_cl5777, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X1 @ (add @ X0 @ (multiply @ X1 @ X0)))
% 6.25/1.53 = (multiply @ (add @ X1 @ X1) @ (multiply @ X1 @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl7])).
% 6.25/1.53 thf(right_additive_inverse, axiom,
% 6.25/1.53 (( add @ X @ ( additive_inverse @ X ) ) = ( additive_identity ))).
% 6.25/1.53 thf(zip_derived_cl3, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_inverse])).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(zip_derived_cl8, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ (add @ X0 @ X2) @ X1)
% 6.25/1.53 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 6.25/1.53 inference('cnf', [status(esa)], [distribute2])).
% 6.25/1.53 thf(zip_derived_cl109, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X0 @ X1) @ X0) = (add @ X0 @ (multiply @ X1 @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl8])).
% 6.25/1.53 thf(zip_derived_cl3224, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((multiply @ additive_identity @ X0)
% 6.25/1.53 = (add @ X0 @ (multiply @ (additive_inverse @ X0) @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl109])).
% 6.25/1.53 thf(left_additive_inverse, axiom,
% 6.25/1.53 (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 6.25/1.53 thf(zip_derived_cl2, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 6.25/1.53 inference('cnf', [status(esa)], [left_additive_inverse])).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(zip_derived_cl7, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (add @ X1 @ X2))
% 6.25/1.53 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 6.25/1.53 inference('cnf', [status(esa)], [distribute1])).
% 6.25/1.53 thf(zip_derived_cl80, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (add @ X1 @ X0)) = (add @ (multiply @ X0 @ X1) @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 6.25/1.53 thf(zip_derived_cl5, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 6.25/1.53 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl92, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (add @ X1 @ X0)) = (add @ X0 @ (multiply @ X0 @ X1)))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl5])).
% 6.25/1.53 thf(zip_derived_cl2396, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((multiply @ X0 @ additive_identity)
% 6.25/1.53 = (add @ X0 @ (multiply @ X0 @ (additive_inverse @ X0))))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl92])).
% 6.25/1.53 thf(right_additive_identity, axiom,
% 6.25/1.53 (( add @ X @ additive_identity ) = ( X ))).
% 6.25/1.53 thf(zip_derived_cl1, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(zip_derived_cl7, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (add @ X1 @ X2))
% 6.25/1.53 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 6.25/1.53 inference('cnf', [status(esa)], [distribute1])).
% 6.25/1.53 thf(zip_derived_cl86, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (add @ X0 @ X1)) = (add @ X0 @ (multiply @ X0 @ X1)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 6.25/1.53 thf(zip_derived_cl2023, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((multiply @ X0 @ X0)
% 6.25/1.53 = (add @ X0 @ (multiply @ X0 @ additive_identity)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl86])).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(zip_derived_cl2043, plain,
% 6.25/1.53 (![X0 : $i]: ((X0) = (add @ X0 @ (multiply @ X0 @ additive_identity)))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl2023, zip_derived_cl9])).
% 6.25/1.53 thf(associativity_for_addition, axiom,
% 6.25/1.53 (( add @ X @ ( add @ Y @ Z ) ) = ( add @ ( add @ X @ Y ) @ Z ))).
% 6.25/1.53 thf(zip_derived_cl4, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl3, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_inverse])).
% 6.25/1.53 thf(zip_derived_cl18, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ X1 @ (add @ X0 @ (additive_inverse @ (add @ X1 @ X0))))
% 6.25/1.53 = (additive_identity))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 6.25/1.53 thf(zip_derived_cl2069, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((add @ X0 @
% 6.25/1.53 (add @ (multiply @ X0 @ additive_identity) @ (additive_inverse @ X0)))
% 6.25/1.53 = (additive_identity))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl2043, zip_derived_cl18])).
% 6.25/1.53 thf(zip_derived_cl5, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 6.25/1.53 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl3, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_inverse])).
% 6.25/1.53 thf(zip_derived_cl4, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl20, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ X1 @ (add @ (additive_inverse @ X1) @ X0))
% 6.25/1.53 = (add @ additive_identity @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 6.25/1.53 thf(left_additive_identity, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 6.25/1.53 thf(zip_derived_cl0, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [left_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl25, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ X1 @ (add @ (additive_inverse @ X1) @ X0)) = (X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 6.25/1.53 thf(zip_derived_cl2105, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl2069, zip_derived_cl5, zip_derived_cl25])).
% 6.25/1.53 thf(zip_derived_cl2411, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((additive_identity)
% 6.25/1.53 = (add @ X0 @ (multiply @ X0 @ (additive_inverse @ X0))))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl2396, zip_derived_cl2105])).
% 6.25/1.53 thf(zip_derived_cl25, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ X1 @ (add @ (additive_inverse @ X1) @ X0)) = (X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 6.25/1.53 thf(zip_derived_cl2476, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((add @ X0 @ additive_identity)
% 6.25/1.53 = (multiply @ (additive_inverse @ X0) @
% 6.25/1.53 (additive_inverse @ (additive_inverse @ X0))))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl2411, zip_derived_cl25])).
% 6.25/1.53 thf(zip_derived_cl1, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl3, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_inverse])).
% 6.25/1.53 thf(zip_derived_cl25, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ X1 @ (add @ (additive_inverse @ X1) @ X0)) = (X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 6.25/1.53 thf(zip_derived_cl36, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((add @ X0 @ additive_identity)
% 6.25/1.53 = (additive_inverse @ (additive_inverse @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl25])).
% 6.25/1.53 thf(zip_derived_cl1, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl39, plain,
% 6.25/1.53 (![X0 : $i]: ((X0) = (additive_inverse @ (additive_inverse @ X0)))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 6.25/1.53 thf(zip_derived_cl2504, plain,
% 6.25/1.53 (![X0 : $i]: ((X0) = (multiply @ (additive_inverse @ X0) @ X0))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl2476, zip_derived_cl1, zip_derived_cl39])).
% 6.25/1.53 thf(zip_derived_cl3244, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ additive_identity @ X0) = (add @ X0 @ X0))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl3224, zip_derived_cl2504])).
% 6.25/1.53 thf(zip_derived_cl1, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl109, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X0 @ X1) @ X0) = (add @ X0 @ (multiply @ X1 @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl8])).
% 6.25/1.53 thf(zip_derived_cl3223, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((multiply @ X0 @ X0)
% 6.25/1.53 = (add @ X0 @ (multiply @ additive_identity @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl109])).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(zip_derived_cl3243, plain,
% 6.25/1.53 (![X0 : $i]: ((X0) = (add @ X0 @ (multiply @ additive_identity @ X0)))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl3223, zip_derived_cl9])).
% 6.25/1.53 thf(zip_derived_cl2, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 6.25/1.53 inference('cnf', [status(esa)], [left_additive_inverse])).
% 6.25/1.53 thf(zip_derived_cl4, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl23, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0))
% 6.25/1.53 = (add @ additive_identity @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 6.25/1.53 thf(zip_derived_cl0, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [left_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl27, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 6.25/1.53 thf(zip_derived_cl3267, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((add @ (additive_inverse @ X0) @ X0)
% 6.25/1.53 = (multiply @ additive_identity @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl3243, zip_derived_cl27])).
% 6.25/1.53 thf(zip_derived_cl2, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 6.25/1.53 inference('cnf', [status(esa)], [left_additive_inverse])).
% 6.25/1.53 thf(zip_derived_cl3319, plain,
% 6.25/1.53 (![X0 : $i]: ((additive_identity) = (multiply @ additive_identity @ X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl3267, zip_derived_cl2])).
% 6.25/1.53 thf(zip_derived_cl3775, plain,
% 6.25/1.53 (![X0 : $i]: ((additive_identity) = (add @ X0 @ X0))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl3244, zip_derived_cl3319])).
% 6.25/1.53 thf(zip_derived_cl3319, plain,
% 6.25/1.53 (![X0 : $i]: ((additive_identity) = (multiply @ additive_identity @ X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl3267, zip_derived_cl2])).
% 6.25/1.53 thf(zip_derived_cl6002, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X1 @ (add @ X0 @ (multiply @ X1 @ X0)))
% 6.25/1.53 = (additive_identity))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl5777, zip_derived_cl3775, zip_derived_cl3319])).
% 6.25/1.53 thf(zip_derived_cl6141, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ X0) @
% 6.25/1.53 (add @ X0 @ (add @ X0 @ (multiply @ X1 @ X0))))
% 6.25/1.53 = (additive_identity))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl6002])).
% 6.25/1.53 thf(zip_derived_cl3775, plain,
% 6.25/1.53 (![X0 : $i]: ((additive_identity) = (add @ X0 @ X0))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl3244, zip_derived_cl3319])).
% 6.25/1.53 thf(zip_derived_cl4, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl3779, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ X1 @ (add @ X1 @ X0)) = (add @ additive_identity @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl3775, zip_derived_cl4])).
% 6.25/1.53 thf(zip_derived_cl0, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [left_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl3820, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]: ((add @ X1 @ (add @ X1 @ X0)) = (X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl3779, zip_derived_cl0])).
% 6.25/1.53 thf(zip_derived_cl6190, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ X0) @ (multiply @ X1 @ X0))
% 6.25/1.53 = (additive_identity))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl6141, zip_derived_cl3820])).
% 6.25/1.53 thf(zip_derived_cl120, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ X2) @ (multiply @ X1 @ X0))
% 6.25/1.53 = (add @ (multiply @ X1 @ X0) @
% 6.25/1.53 (multiply @ X2 @ (multiply @ X1 @ X0))))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl8])).
% 6.25/1.53 thf(zip_derived_cl6296, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ (add @ X1 @ X0)) @ (multiply @ X1 @ X0))
% 6.25/1.53 = (add @ (multiply @ X1 @ X0) @ additive_identity))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl6190, zip_derived_cl120])).
% 6.25/1.53 thf(zip_derived_cl3820, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]: ((add @ X1 @ (add @ X1 @ X0)) = (X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl3779, zip_derived_cl0])).
% 6.25/1.53 thf(zip_derived_cl1, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl6439, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (multiply @ X1 @ X0)) = (multiply @ X1 @ X0))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl6296, zip_derived_cl3820, zip_derived_cl1])).
% 6.25/1.53 thf(zip_derived_cl6529, plain, (((multiply @ b @ c) = (multiply @ a @ b))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6439])).
% 6.25/1.53 thf(zip_derived_cl10, plain, (((multiply @ a @ b) = (c))),
% 6.25/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.25/1.53 thf(zip_derived_cl6575, plain, (((multiply @ b @ c) = (c))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl6529, zip_derived_cl10])).
% 6.25/1.53 thf(prove_commutativity, conjecture, (( multiply @ b @ a ) = ( c ))).
% 6.25/1.53 thf(zf_stmt_1, negated_conjecture, (( multiply @ b @ a ) != ( c )),
% 6.25/1.53 inference('cnf.neg', [status(esa)], [prove_commutativity])).
% 6.25/1.53 thf(zip_derived_cl11, plain, (((multiply @ b @ a) != (c))),
% 6.25/1.53 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.25/1.53 thf(zip_derived_cl10, plain, (((multiply @ a @ b) = (c))),
% 6.25/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.25/1.53 thf(zip_derived_cl6, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 6.25/1.53 = (multiply @ (multiply @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_multiplication])).
% 6.25/1.53 thf(zip_derived_cl65, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ a @ (multiply @ b @ X0)) = (multiply @ c @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(zip_derived_cl6, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 6.25/1.53 = (multiply @ (multiply @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_multiplication])).
% 6.25/1.53 thf(zip_derived_cl62, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X1 @ (multiply @ X0 @ (multiply @ X1 @ X0)))
% 6.25/1.53 = (multiply @ X1 @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 6.25/1.53 thf(zip_derived_cl163, plain,
% 6.25/1.53 (((multiply @ b @ (multiply @ c @ a)) = (multiply @ b @ a))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl62])).
% 6.25/1.53 thf(zip_derived_cl9, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [boolean_ring])).
% 6.25/1.53 thf(zip_derived_cl65, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ a @ (multiply @ b @ X0)) = (multiply @ c @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 6.25/1.53 thf(zip_derived_cl69, plain, (((multiply @ a @ b) = (multiply @ c @ b))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl65])).
% 6.25/1.53 thf(zip_derived_cl10, plain, (((multiply @ a @ b) = (c))),
% 6.25/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.25/1.53 thf(zip_derived_cl70, plain, (((c) = (multiply @ c @ b))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl10])).
% 6.25/1.53 thf(zip_derived_cl6, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 6.25/1.53 = (multiply @ (multiply @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_multiplication])).
% 6.25/1.53 thf(zip_derived_cl72, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ c @ (multiply @ b @ X0)) = (multiply @ c @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl6])).
% 6.25/1.53 thf(zip_derived_cl65, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ a @ (multiply @ b @ X0)) = (multiply @ c @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 6.25/1.53 thf(zip_derived_cl8, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ (add @ X0 @ X2) @ X1)
% 6.25/1.53 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 6.25/1.53 inference('cnf', [status(esa)], [distribute2])).
% 6.25/1.53 thf(zip_derived_cl105, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ a) @ (multiply @ b @ X0))
% 6.25/1.53 = (add @ (multiply @ X1 @ (multiply @ b @ X0)) @ (multiply @ c @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl8])).
% 6.25/1.53 thf(zip_derived_cl4315, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((multiply @ (add @ c @ a) @ (multiply @ b @ X0))
% 6.25/1.53 = (add @ (multiply @ c @ X0) @ (multiply @ c @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl105])).
% 6.25/1.53 thf(zip_derived_cl8, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((multiply @ (add @ X0 @ X2) @ X1)
% 6.25/1.53 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 6.25/1.53 inference('cnf', [status(esa)], [distribute2])).
% 6.25/1.53 thf(zip_derived_cl3775, plain,
% 6.25/1.53 (![X0 : $i]: ((additive_identity) = (add @ X0 @ X0))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl3244, zip_derived_cl3319])).
% 6.25/1.53 thf(zip_derived_cl3319, plain,
% 6.25/1.53 (![X0 : $i]: ((additive_identity) = (multiply @ additive_identity @ X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl3267, zip_derived_cl2])).
% 6.25/1.53 thf(zip_derived_cl4342, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((multiply @ (add @ c @ a) @ (multiply @ b @ X0))
% 6.25/1.53 = (additive_identity))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl4315, zip_derived_cl8, zip_derived_cl3775,
% 6.25/1.53 zip_derived_cl3319])).
% 6.25/1.53 thf(zip_derived_cl62, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X1 @ (multiply @ X0 @ (multiply @ X1 @ X0)))
% 6.25/1.53 = (multiply @ X1 @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 6.25/1.53 thf(zip_derived_cl4419, plain,
% 6.25/1.53 (((multiply @ b @ additive_identity) = (multiply @ b @ (add @ c @ a)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl4342, zip_derived_cl62])).
% 6.25/1.53 thf(zip_derived_cl2105, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl2069, zip_derived_cl5, zip_derived_cl25])).
% 6.25/1.53 thf(zip_derived_cl4448, plain,
% 6.25/1.53 (((additive_identity) = (multiply @ b @ (add @ c @ a)))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl4419, zip_derived_cl2105])).
% 6.25/1.53 thf(zip_derived_cl105, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ (add @ X1 @ a) @ (multiply @ b @ X0))
% 6.25/1.53 = (add @ (multiply @ X1 @ (multiply @ b @ X0)) @ (multiply @ c @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl8])).
% 6.25/1.53 thf(zip_derived_cl4510, plain,
% 6.25/1.53 (![X0 : $i]:
% 6.25/1.53 ((multiply @ (add @ X0 @ a) @ (multiply @ b @ (add @ c @ a)))
% 6.25/1.53 = (add @ (multiply @ X0 @ additive_identity) @
% 6.25/1.53 (multiply @ c @ (add @ c @ a))))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl4448, zip_derived_cl105])).
% 6.25/1.53 thf(zip_derived_cl4448, plain,
% 6.25/1.53 (((additive_identity) = (multiply @ b @ (add @ c @ a)))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl4419, zip_derived_cl2105])).
% 6.25/1.53 thf(zip_derived_cl2105, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl2069, zip_derived_cl5, zip_derived_cl25])).
% 6.25/1.53 thf(zip_derived_cl2105, plain,
% 6.25/1.53 (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl2069, zip_derived_cl5, zip_derived_cl25])).
% 6.25/1.53 thf(zip_derived_cl86, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((multiply @ X0 @ (add @ X0 @ X1)) = (add @ X0 @ (multiply @ X0 @ X1)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 6.25/1.53 thf(zip_derived_cl0, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [left_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl5, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 6.25/1.53 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl4, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 6.25/1.53 inference('cnf', [status(esa)], [associativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl51, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.25/1.53 ((add @ X1 @ (add @ X0 @ X2)) = (add @ X2 @ (add @ X1 @ X0)))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 6.25/1.53 thf(zip_derived_cl848, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]:
% 6.25/1.53 ((add @ additive_identity @ (add @ X0 @ X1)) = (add @ X1 @ X0))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl51])).
% 6.25/1.53 thf(zip_derived_cl5, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 6.25/1.53 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 6.25/1.53 thf(zip_derived_cl4537, plain,
% 6.25/1.53 (((additive_identity) = (add @ c @ (multiply @ c @ a)))),
% 6.25/1.53 inference('demod', [status(thm)],
% 6.25/1.53 [zip_derived_cl4510, zip_derived_cl4448, zip_derived_cl2105,
% 6.25/1.53 zip_derived_cl2105, zip_derived_cl86, zip_derived_cl848,
% 6.25/1.53 zip_derived_cl5])).
% 6.25/1.53 thf(zip_derived_cl3820, plain,
% 6.25/1.53 (![X0 : $i, X1 : $i]: ((add @ X1 @ (add @ X1 @ X0)) = (X0))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl3779, zip_derived_cl0])).
% 6.25/1.53 thf(zip_derived_cl4737, plain,
% 6.25/1.53 (((add @ c @ additive_identity) = (multiply @ c @ a))),
% 6.25/1.53 inference('sup+', [status(thm)], [zip_derived_cl4537, zip_derived_cl3820])).
% 6.25/1.53 thf(zip_derived_cl1, plain,
% 6.25/1.53 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 6.25/1.53 inference('cnf', [status(esa)], [right_additive_identity])).
% 6.25/1.53 thf(zip_derived_cl4749, plain, (((c) = (multiply @ c @ a))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl4737, zip_derived_cl1])).
% 6.25/1.53 thf(zip_derived_cl4753, plain, (((multiply @ b @ c) = (multiply @ b @ a))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl4749])).
% 6.25/1.53 thf(zip_derived_cl4784, plain, (((multiply @ b @ c) != (c))),
% 6.25/1.53 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl4753])).
% 6.25/1.53 thf(zip_derived_cl6576, plain, ($false),
% 6.25/1.53 inference('simplify_reflect-', [status(thm)],
% 6.25/1.53 [zip_derived_cl6575, zip_derived_cl4784])).
% 6.25/1.53
% 6.25/1.53 % SZS output end Refutation
% 6.25/1.53
% 6.25/1.53
% 6.25/1.53 % Terminating...
% 6.74/1.57 % Runner terminated.
% 6.74/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------