TSTP Solution File: BOO007-4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO007-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pfnX0YMqi5 true
% Computer : n006.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 18:13:14 EDT 2023
% Result : Unsatisfiable 77.41s 11.80s
% Output : Refutation 77.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO007-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pfnX0YMqi5 true
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 07:57:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % 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
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /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
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 77.41/11.80 % Solved by fo/fo6_bce.sh.
% 77.41/11.80 % BCE start: 9
% 77.41/11.80 % BCE eliminated: 0
% 77.41/11.80 % PE start: 9
% 77.41/11.80 logic: eq
% 77.41/11.80 % PE eliminated: 0
% 77.41/11.80 % done 932 iterations in 11.024s
% 77.41/11.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 77.41/11.80 % SZS output start Refutation
% 77.41/11.80 thf(c_type, type, c: $i).
% 77.41/11.80 thf(multiply_type, type, multiply: $i > $i > $i).
% 77.41/11.80 thf(b_type, type, b: $i).
% 77.41/11.80 thf(add_type, type, add: $i > $i > $i).
% 77.41/11.80 thf(inverse_type, type, inverse: $i > $i).
% 77.41/11.80 thf(a_type, type, a: $i).
% 77.41/11.80 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 77.41/11.80 thf(additive_identity_type, type, additive_identity: $i).
% 77.41/11.80 thf(prove_associativity, conjecture,
% 77.41/11.80 (( multiply @ a @ ( multiply @ b @ c ) ) =
% 77.41/11.80 ( multiply @ ( multiply @ a @ b ) @ c ))).
% 77.41/11.80 thf(zf_stmt_0, negated_conjecture,
% 77.41/11.80 (( multiply @ a @ ( multiply @ b @ c ) ) !=
% 77.41/11.80 ( multiply @ ( multiply @ a @ b ) @ c )),
% 77.41/11.80 inference('cnf.neg', [status(esa)], [prove_associativity])).
% 77.41/11.80 thf(zip_derived_cl8, plain,
% 77.41/11.80 (((multiply @ a @ (multiply @ b @ c))
% 77.41/11.80 != (multiply @ (multiply @ a @ b) @ c))),
% 77.41/11.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 77.41/11.80 thf(commutativity_of_multiply, axiom,
% 77.41/11.80 (( multiply @ X @ Y ) = ( multiply @ Y @ X ))).
% 77.41/11.80 thf(zip_derived_cl1, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 77.41/11.80 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 77.41/11.80 thf(zip_derived_cl11, plain,
% 77.41/11.80 (((multiply @ a @ (multiply @ b @ c))
% 77.41/11.80 != (multiply @ c @ (multiply @ a @ b)))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 77.41/11.80 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 77.41/11.80 thf(zip_derived_cl0, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 77.41/11.80 inference('cnf', [status(esa)], [commutativity_of_add])).
% 77.41/11.80 thf(distributivity1, axiom,
% 77.41/11.80 (( add @ X @ ( multiply @ Y @ Z ) ) =
% 77.41/11.80 ( multiply @ ( add @ X @ Y ) @ ( add @ X @ Z ) ))).
% 77.41/11.80 thf(zip_derived_cl2, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((add @ X0 @ (multiply @ X1 @ X2))
% 77.41/11.80 = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity1])).
% 77.41/11.80 thf(zip_derived_cl18, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((add @ X0 @ (multiply @ X2 @ X1))
% 77.41/11.80 = (multiply @ (add @ X0 @ X2) @ (add @ X1 @ X0)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 77.41/11.80 thf(zip_derived_cl2, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((add @ X0 @ (multiply @ X1 @ X2))
% 77.41/11.80 = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity1])).
% 77.41/11.80 thf(zip_derived_cl1, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 77.41/11.80 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 77.41/11.80 thf(zip_derived_cl16, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ (add @ X2 @ X0) @ (add @ X2 @ X1))
% 77.41/11.80 = (add @ X2 @ (multiply @ X1 @ X0)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 77.41/11.80 thf(zip_derived_cl114, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((add @ X0 @ (multiply @ X1 @ X0)) = (add @ X0 @ (multiply @ X0 @ X1)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl16])).
% 77.41/11.80 thf(multiplicative_id1, axiom,
% 77.41/11.80 (( multiply @ X @ multiplicative_identity ) = ( X ))).
% 77.41/11.80 thf(zip_derived_cl5, plain,
% 77.41/11.80 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [multiplicative_id1])).
% 77.41/11.80 thf(distributivity2, axiom,
% 77.41/11.80 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 77.41/11.80 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 77.41/11.80 thf(zip_derived_cl3, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ X0 @ (add @ X1 @ X2))
% 77.41/11.80 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity2])).
% 77.41/11.80 thf(zip_derived_cl46, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ X0 @ (add @ multiplicative_identity @ X1))
% 77.41/11.80 = (add @ X0 @ (multiply @ X0 @ X1)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 77.41/11.80 thf(additive_id1, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 77.41/11.80 thf(zip_derived_cl4, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_id1])).
% 77.41/11.80 thf(zip_derived_cl16, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ (add @ X2 @ X0) @ (add @ X2 @ X1))
% 77.41/11.80 = (add @ X2 @ (multiply @ X1 @ X0)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 77.41/11.80 thf(zip_derived_cl94, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ X0 @ (add @ X0 @ X1))
% 77.41/11.80 = (add @ X0 @ (multiply @ X1 @ additive_identity)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl16])).
% 77.41/11.80 thf(zip_derived_cl4, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_id1])).
% 77.41/11.80 thf(multiplicative_inverse1, axiom,
% 77.41/11.80 (( multiply @ X @ ( inverse @ X ) ) = ( additive_identity ))).
% 77.41/11.80 thf(zip_derived_cl7, plain,
% 77.41/11.80 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 77.41/11.80 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 77.41/11.80 thf(zip_derived_cl3, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ X0 @ (add @ X1 @ X2))
% 77.41/11.80 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity2])).
% 77.41/11.80 thf(zip_derived_cl52, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ X1 @ (add @ (inverse @ X1) @ X0))
% 77.41/11.80 = (add @ additive_identity @ (multiply @ X1 @ X0)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 77.41/11.80 thf(zip_derived_cl4, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_id1])).
% 77.41/11.80 thf(zip_derived_cl0, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 77.41/11.80 inference('cnf', [status(esa)], [commutativity_of_add])).
% 77.41/11.80 thf(zip_derived_cl9, plain,
% 77.41/11.80 (![X0 : $i]: ((X0) = (add @ additive_identity @ X0))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 77.41/11.80 thf(zip_derived_cl56, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ X1 @ (add @ (inverse @ X1) @ X0)) = (multiply @ X1 @ X0))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl9])).
% 77.41/11.80 thf(zip_derived_cl63, plain,
% 77.41/11.80 (![X0 : $i]:
% 77.41/11.80 ((multiply @ X0 @ (inverse @ X0))
% 77.41/11.80 = (multiply @ X0 @ additive_identity))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl56])).
% 77.41/11.80 thf(zip_derived_cl7, plain,
% 77.41/11.80 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 77.41/11.80 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 77.41/11.80 thf(zip_derived_cl66, plain,
% 77.41/11.80 (![X0 : $i]: ((additive_identity) = (multiply @ X0 @ additive_identity))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl7])).
% 77.41/11.80 thf(zip_derived_cl4, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_id1])).
% 77.41/11.80 thf(zip_derived_cl100, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (add @ X0 @ X1)) = (X0))),
% 77.41/11.80 inference('demod', [status(thm)],
% 77.41/11.80 [zip_derived_cl94, zip_derived_cl66, zip_derived_cl4])).
% 77.41/11.80 thf(zip_derived_cl5, plain,
% 77.41/11.80 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [multiplicative_id1])).
% 77.41/11.80 thf(zip_derived_cl1, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 77.41/11.80 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 77.41/11.80 thf(zip_derived_cl12, plain,
% 77.41/11.80 (![X0 : $i]: ((X0) = (multiply @ multiplicative_identity @ X0))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 77.41/11.80 thf(zip_derived_cl138, plain,
% 77.41/11.80 (![X0 : $i]:
% 77.41/11.80 ((add @ multiplicative_identity @ X0) = (multiplicative_identity))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl12])).
% 77.41/11.80 thf(zip_derived_cl5, plain,
% 77.41/11.80 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [multiplicative_id1])).
% 77.41/11.80 thf(zip_derived_cl1155, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((X0) = (add @ X0 @ (multiply @ X0 @ X1)))),
% 77.41/11.80 inference('demod', [status(thm)],
% 77.41/11.80 [zip_derived_cl46, zip_derived_cl138, zip_derived_cl5])).
% 77.41/11.80 thf(zip_derived_cl2976, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((add @ X0 @ (multiply @ X1 @ X0)) = (X0))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl1155])).
% 77.41/11.80 thf(zip_derived_cl5, plain,
% 77.41/11.80 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [multiplicative_id1])).
% 77.41/11.80 thf(zip_derived_cl3, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ X0 @ (add @ X1 @ X2))
% 77.41/11.80 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity2])).
% 77.41/11.80 thf(zip_derived_cl41, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ X0 @ (add @ X1 @ multiplicative_identity))
% 77.41/11.80 = (add @ (multiply @ X0 @ X1) @ X0))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 77.41/11.80 thf(zip_derived_cl138, plain,
% 77.41/11.80 (![X0 : $i]:
% 77.41/11.80 ((add @ multiplicative_identity @ X0) = (multiplicative_identity))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl12])).
% 77.41/11.80 thf(zip_derived_cl0, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 77.41/11.80 inference('cnf', [status(esa)], [commutativity_of_add])).
% 77.41/11.80 thf(zip_derived_cl201, plain,
% 77.41/11.80 (![X0 : $i]:
% 77.41/11.80 ((add @ X0 @ multiplicative_identity) = (multiplicative_identity))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl0])).
% 77.41/11.80 thf(zip_derived_cl5, plain,
% 77.41/11.80 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [multiplicative_id1])).
% 77.41/11.80 thf(zip_derived_cl791, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((X0) = (add @ (multiply @ X0 @ X1) @ X0))),
% 77.41/11.80 inference('demod', [status(thm)],
% 77.41/11.80 [zip_derived_cl41, zip_derived_cl201, zip_derived_cl5])).
% 77.41/11.80 thf(zip_derived_cl100, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (add @ X0 @ X1)) = (X0))),
% 77.41/11.80 inference('demod', [status(thm)],
% 77.41/11.80 [zip_derived_cl94, zip_derived_cl66, zip_derived_cl4])).
% 77.41/11.80 thf(zip_derived_cl794, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ (multiply @ X0 @ X1) @ X0) = (multiply @ X0 @ X1))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl791, zip_derived_cl100])).
% 77.41/11.80 thf(zip_derived_cl3, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ X0 @ (add @ X1 @ X2))
% 77.41/11.80 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity2])).
% 77.41/11.80 thf(zip_derived_cl965, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ (multiply @ X1 @ X0) @ (add @ X2 @ X1))
% 77.41/11.80 = (add @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 77.41/11.80 (multiply @ X1 @ X0)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl794, zip_derived_cl3])).
% 77.41/11.80 thf(zip_derived_cl791, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((X0) = (add @ (multiply @ X0 @ X1) @ X0))),
% 77.41/11.80 inference('demod', [status(thm)],
% 77.41/11.80 [zip_derived_cl41, zip_derived_cl201, zip_derived_cl5])).
% 77.41/11.80 thf(zip_derived_cl1000, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ (multiply @ X1 @ X0) @ (add @ X2 @ X1))
% 77.41/11.80 = (multiply @ X1 @ X0))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl965, zip_derived_cl791])).
% 77.41/11.80 thf(zip_derived_cl4514, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ (multiply @ (multiply @ X2 @ X0) @ X1) @ X0)
% 77.41/11.80 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 77.41/11.80 inference('s_sup+', [status(thm)],
% 77.41/11.80 [zip_derived_cl2976, zip_derived_cl1000])).
% 77.41/11.80 thf(zip_derived_cl1, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 77.41/11.80 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 77.41/11.80 thf(zip_derived_cl7269, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ X1 @ (multiply @ (multiply @ X2 @ X1) @ X0))
% 77.41/11.80 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl4514, zip_derived_cl1])).
% 77.41/11.80 thf(zip_derived_cl791, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((X0) = (add @ (multiply @ X0 @ X1) @ X0))),
% 77.41/11.80 inference('demod', [status(thm)],
% 77.41/11.80 [zip_derived_cl41, zip_derived_cl201, zip_derived_cl5])).
% 77.41/11.80 thf(zip_derived_cl4, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_id1])).
% 77.41/11.80 thf(zip_derived_cl2, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((add @ X0 @ (multiply @ X1 @ X2))
% 77.41/11.80 = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity1])).
% 77.41/11.80 thf(zip_derived_cl20, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((add @ X0 @ (multiply @ X1 @ additive_identity))
% 77.41/11.80 = (multiply @ (add @ X0 @ X1) @ X0))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 77.41/11.80 thf(zip_derived_cl66, plain,
% 77.41/11.80 (![X0 : $i]: ((additive_identity) = (multiply @ X0 @ additive_identity))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl7])).
% 77.41/11.80 thf(zip_derived_cl4, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_id1])).
% 77.41/11.80 thf(zip_derived_cl158, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (add @ X0 @ X1) @ X0))),
% 77.41/11.80 inference('demod', [status(thm)],
% 77.41/11.80 [zip_derived_cl20, zip_derived_cl66, zip_derived_cl4])).
% 77.41/11.80 thf(zip_derived_cl795, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ X0 @ X1) = (multiply @ X0 @ (multiply @ X0 @ X1)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl791, zip_derived_cl158])).
% 77.41/11.80 thf(additive_inverse1, axiom,
% 77.41/11.80 (( add @ X @ ( inverse @ X ) ) = ( multiplicative_identity ))).
% 77.41/11.80 thf(zip_derived_cl6, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_inverse1])).
% 77.41/11.80 thf(zip_derived_cl2, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((add @ X0 @ (multiply @ X1 @ X2))
% 77.41/11.80 = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity1])).
% 77.41/11.80 thf(zip_derived_cl24, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((add @ X1 @ (multiply @ (inverse @ X1) @ X0))
% 77.41/11.80 = (multiply @ multiplicative_identity @ (add @ X1 @ X0)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 77.41/11.80 thf(zip_derived_cl12, plain,
% 77.41/11.80 (![X0 : $i]: ((X0) = (multiply @ multiplicative_identity @ X0))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 77.41/11.80 thf(zip_derived_cl26, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((add @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (add @ X1 @ X0))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl12])).
% 77.41/11.80 thf(zip_derived_cl16, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ (add @ X2 @ X0) @ (add @ X2 @ X1))
% 77.41/11.80 = (add @ X2 @ (multiply @ X1 @ X0)))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 77.41/11.80 thf(zip_derived_cl252, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ (add @ X1 @ X0) @ (add @ X1 @ X2))
% 77.41/11.80 = (add @ X1 @ (multiply @ X2 @ (multiply @ (inverse @ X1) @ X0))))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl16])).
% 77.41/11.80 thf(zip_derived_cl2, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((add @ X0 @ (multiply @ X1 @ X2))
% 77.41/11.80 = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 77.41/11.80 inference('cnf', [status(esa)], [distributivity1])).
% 77.41/11.80 thf(zip_derived_cl279, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((add @ X1 @ (multiply @ X0 @ X2))
% 77.41/11.80 = (add @ X1 @ (multiply @ X2 @ (multiply @ (inverse @ X1) @ X0))))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl252, zip_derived_cl2])).
% 77.41/11.80 thf(zip_derived_cl56, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ X1 @ (add @ (inverse @ X1) @ X0)) = (multiply @ X1 @ X0))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl9])).
% 77.41/11.80 thf(zip_derived_cl8062, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.80 ((multiply @ X2 @ (add @ (inverse @ X2) @ (multiply @ X1 @ X0)))
% 77.41/11.80 = (multiply @ X2 @
% 77.41/11.80 (multiply @ X0 @ (multiply @ (inverse @ (inverse @ X2)) @ X1))))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl279, zip_derived_cl56])).
% 77.41/11.80 thf(zip_derived_cl56, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((multiply @ X1 @ (add @ (inverse @ X1) @ X0)) = (multiply @ X1 @ X0))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl9])).
% 77.41/11.80 thf(zip_derived_cl7, plain,
% 77.41/11.80 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 77.41/11.80 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 77.41/11.80 thf(zip_derived_cl26, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]:
% 77.41/11.80 ((add @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (add @ X1 @ X0))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl12])).
% 77.41/11.80 thf(zip_derived_cl264, plain,
% 77.41/11.80 (![X0 : $i]:
% 77.41/11.80 ((add @ X0 @ additive_identity)
% 77.41/11.80 = (add @ X0 @ (inverse @ (inverse @ X0))))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl26])).
% 77.41/11.80 thf(zip_derived_cl4, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_id1])).
% 77.41/11.80 thf(zip_derived_cl272, plain,
% 77.41/11.80 (![X0 : $i]: ((X0) = (add @ X0 @ (inverse @ (inverse @ X0))))),
% 77.41/11.80 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl4])).
% 77.41/11.80 thf(zip_derived_cl0, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 77.41/11.80 inference('cnf', [status(esa)], [commutativity_of_add])).
% 77.41/11.80 thf(zip_derived_cl158, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (add @ X0 @ X1) @ X0))),
% 77.41/11.80 inference('demod', [status(thm)],
% 77.41/11.80 [zip_derived_cl20, zip_derived_cl66, zip_derived_cl4])).
% 77.41/11.80 thf(zip_derived_cl164, plain,
% 77.41/11.80 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (add @ X1 @ X0) @ X0))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl158])).
% 77.41/11.80 thf(zip_derived_cl7450, plain,
% 77.41/11.80 (![X0 : $i]:
% 77.41/11.80 ((inverse @ (inverse @ X0))
% 77.41/11.80 = (multiply @ X0 @ (inverse @ (inverse @ X0))))),
% 77.41/11.80 inference('s_sup+', [status(thm)], [zip_derived_cl272, zip_derived_cl164])).
% 77.41/11.80 thf(zip_derived_cl6, plain,
% 77.41/11.80 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 77.41/11.80 inference('cnf', [status(esa)], [additive_inverse1])).
% 77.41/11.80 thf(zip_derived_cl56, plain,
% 77.41/11.81 (![X0 : $i, X1 : $i]:
% 77.41/11.81 ((multiply @ X1 @ (add @ (inverse @ X1) @ X0)) = (multiply @ X1 @ X0))),
% 77.41/11.81 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl9])).
% 77.41/11.81 thf(zip_derived_cl64, plain,
% 77.41/11.81 (![X0 : $i]:
% 77.41/11.81 ((multiply @ X0 @ multiplicative_identity)
% 77.41/11.81 = (multiply @ X0 @ (inverse @ (inverse @ X0))))),
% 77.41/11.81 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl56])).
% 77.41/11.81 thf(zip_derived_cl5, plain,
% 77.41/11.81 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 77.41/11.81 inference('cnf', [status(esa)], [multiplicative_id1])).
% 77.41/11.81 thf(zip_derived_cl67, plain,
% 77.41/11.81 (![X0 : $i]: ((X0) = (multiply @ X0 @ (inverse @ (inverse @ X0))))),
% 77.41/11.81 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl5])).
% 77.41/11.81 thf(zip_derived_cl7503, plain,
% 77.41/11.81 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 77.41/11.81 inference('demod', [status(thm)], [zip_derived_cl7450, zip_derived_cl67])).
% 77.41/11.81 thf(zip_derived_cl8175, plain,
% 77.41/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.41/11.81 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 77.87/11.81 = (multiply @ X2 @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl8062, zip_derived_cl56, zip_derived_cl7503])).
% 77.87/11.81 thf(zip_derived_cl28740, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2))
% 77.87/11.81 = (multiply @ X1 @ (multiply @ X2 @ (multiply @ X1 @ X0))))),
% 77.87/11.81 inference('s_sup+', [status(thm)],
% 77.87/11.81 [zip_derived_cl795, zip_derived_cl8175])).
% 77.87/11.81 thf(zip_derived_cl1155, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i]: ((X0) = (add @ X0 @ (multiply @ X0 @ X1)))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl46, zip_derived_cl138, zip_derived_cl5])).
% 77.87/11.81 thf(zip_derived_cl1000, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ (multiply @ X1 @ X0) @ (add @ X2 @ X1))
% 77.87/11.81 = (multiply @ X1 @ X0))),
% 77.87/11.81 inference('demod', [status(thm)], [zip_derived_cl965, zip_derived_cl791])).
% 77.87/11.81 thf(zip_derived_cl4513, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ (multiply @ (multiply @ X0 @ X2) @ X1) @ X0)
% 77.87/11.81 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 77.87/11.81 inference('s_sup+', [status(thm)],
% 77.87/11.81 [zip_derived_cl1155, zip_derived_cl1000])).
% 77.87/11.81 thf(zip_derived_cl1, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 77.87/11.81 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 77.87/11.81 thf(zip_derived_cl5326, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ X2 @ (multiply @ (multiply @ X2 @ X1) @ X0))
% 77.87/11.81 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 77.87/11.81 inference('s_sup+', [status(thm)], [zip_derived_cl4513, zip_derived_cl1])).
% 77.87/11.81 thf(zip_derived_cl8175, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 77.87/11.81 = (multiply @ X2 @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl8062, zip_derived_cl56, zip_derived_cl7503])).
% 77.87/11.81 thf(zip_derived_cl28837, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 77.87/11.81 = (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl28740, zip_derived_cl5326, zip_derived_cl8175])).
% 77.87/11.81 thf(zip_derived_cl8175, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 77.87/11.81 = (multiply @ X2 @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl8062, zip_derived_cl56, zip_derived_cl7503])).
% 77.87/11.81 thf(zip_derived_cl28837, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 77.87/11.81 = (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl28740, zip_derived_cl5326, zip_derived_cl8175])).
% 77.87/11.81 thf(zip_derived_cl28957, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ X1 @ (multiply @ X0 @ X2))
% 77.87/11.81 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl7269, zip_derived_cl28837, zip_derived_cl8175,
% 77.87/11.81 zip_derived_cl28837])).
% 77.87/11.81 thf(zip_derived_cl1, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 77.87/11.81 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 77.87/11.81 thf(zip_derived_cl28957, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.87/11.81 ((multiply @ X1 @ (multiply @ X0 @ X2))
% 77.87/11.81 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl7269, zip_derived_cl28837, zip_derived_cl8175,
% 77.87/11.81 zip_derived_cl28837])).
% 77.87/11.81 thf(zip_derived_cl1, plain,
% 77.87/11.81 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 77.87/11.81 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 77.87/11.81 thf(zip_derived_cl29223, plain,
% 77.87/11.81 (((multiply @ a @ (multiply @ b @ c))
% 77.87/11.81 != (multiply @ a @ (multiply @ b @ c)))),
% 77.87/11.81 inference('demod', [status(thm)],
% 77.87/11.81 [zip_derived_cl11, zip_derived_cl28957, zip_derived_cl1,
% 77.87/11.81 zip_derived_cl28957, zip_derived_cl1])).
% 77.87/11.81 thf(zip_derived_cl29224, plain, ($false),
% 77.87/11.81 inference('simplify', [status(thm)], [zip_derived_cl29223])).
% 77.87/11.81
% 77.87/11.81 % SZS output end Refutation
% 77.87/11.81
% 77.87/11.81
% 77.87/11.81 % Terminating...
% 77.87/11.88 % Runner terminated.
% 77.87/11.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------