%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP311-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SgscWTht9i true
% Computer : n027.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 Oct 2 04:36:12 PM UTC 2025
% Result : Unsatisfiable 2.69s 2.74s
% Output : Refutation 2.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.90 % Problem : GRP311-1 : TPTP v9.2.0. Released v2.5.0.
% 0.10/0.98 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SgscWTht9i true
% 0.13/1.37 % Computer : n027.cluster.edu
% 0.13/1.37 % Model : x86_64 x86_64
% 0.13/1.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/1.37 % Memory : 8042.1875MB
% 0.13/1.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/1.37 % CPULimit : 300
% 0.13/1.37 % WCLimit : 300
% 0.13/1.37 % DateTime : Wed Oct 1 14:23:54 EDT 2025
% 0.17/1.39 % CPUTime :
% 0.17/1.39 % Running portfolio for 300 s
% 0.17/1.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/1.39 % Number of cores: 8
% 0.17/1.41 % Python version: Python 3.6.8
% 0.17/1.42 % Running in FO mode
% 0.39/1.84 % Total configuration time : 435
% 0.39/1.84 % Estimated wc time : 1092
% 0.39/1.84 % Estimated cpu time (7 cpus) : 156.0
% 0.40/1.99 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/2.05 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/2.07 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/2.15 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.41/2.16 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.41/2.19 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.41/2.20 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.69/2.74 % Solved by fo/fo7.sh.
% 2.69/2.74 % done 531 iterations in 0.463s
% 2.69/2.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.69/2.74 % SZS output start Refutation
% 2.69/2.74 thf(sk_c1_type, type, sk_c1: $i).
% 2.69/2.74 thf(sk_c5_type, type, sk_c5: $i).
% 2.69/2.74 thf(sk_c2_type, type, sk_c2: $i).
% 2.69/2.74 thf(sk_c4_type, type, sk_c4: $i).
% 2.69/2.74 thf(identity_type, type, identity: $i).
% 2.69/2.74 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.69/2.74 thf(sk_c6_type, type, sk_c6: $i).
% 2.69/2.74 thf(inverse_type, type, inverse: $i > $i).
% 2.69/2.74 thf(sk_c3_type, type, sk_c3: $i).
% 2.69/2.74 thf(sk_c7_type, type, sk_c7: $i).
% 2.69/2.74 thf(prove_this_31, conjecture,
% 2.69/2.74 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 2.69/2.74 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 2.69/2.74 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.69/2.74 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 2.69/2.74 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 2.69/2.74 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 2.69/2.74 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 2.69/2.74 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 2.69/2.74 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.69/2.74 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 2.69/2.74 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 2.69/2.74 thf(zf_stmt_0, negated_conjecture,
% 2.69/2.74 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 2.69/2.74 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 2.69/2.74 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.69/2.74 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 2.69/2.74 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 2.69/2.74 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 2.69/2.74 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 2.69/2.74 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 2.69/2.74 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.69/2.74 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 2.69/2.74 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 2.69/2.74 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 2.69/2.74 thf(zip_derived_cl33, plain,
% 2.69/2.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.69/2.74 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 2.69/2.74 | ((inverse @ X0) != (sk_c6))
% 2.69/2.74 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 2.69/2.74 | ((inverse @ X1) != (sk_c7))
% 2.69/2.74 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 2.69/2.74 | ((inverse @ X2) != (sk_c7))
% 2.69/2.74 | ((multiply @ X2 @ sk_c7) != (X3))
% 2.69/2.75 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c5 @ sk_c6) != (sk_c7))
% 2.69/2.75 | ((inverse @ sk_c7) != (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.69/2.75 thf(zip_derived_cl34, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.69/2.75 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 2.69/2.75 | ((inverse @ X0) != (sk_c6))
% 2.69/2.75 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 2.69/2.75 | ((inverse @ X1) != (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 2.69/2.75 | ((inverse @ X2) != (sk_c7))
% 2.69/2.75 | ((multiply @ X2 @ sk_c7) != (X3))
% 2.69/2.75 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 2.69/2.75 | ((multiply @ (multiply @ sk_c7 @ sk_c6) @ sk_c6) != (sk_c7))
% 2.69/2.75 | ((inverse @ sk_c7) != (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 2.69/2.75 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 2.69/2.75 thf(associativity, axiom,
% 2.69/2.75 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 2.69/2.75 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 2.69/2.75 thf(zip_derived_cl2, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.69/2.75 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [associativity])).
% 2.69/2.75 thf(zip_derived_cl60, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.69/2.75 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 2.69/2.75 | ((inverse @ X0) != (sk_c6))
% 2.69/2.75 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 2.69/2.75 | ((inverse @ X1) != (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 2.69/2.75 | ((inverse @ X2) != (sk_c7))
% 2.69/2.75 | ((multiply @ X2 @ sk_c7) != (X3))
% 2.69/2.75 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c6)) != (sk_c7))
% 2.69/2.75 | ((inverse @ sk_c7) != (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 2.69/2.75 thf(prove_this_29, conjecture,
% 2.69/2.75 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.69/2.75 thf(zf_stmt_1, negated_conjecture,
% 2.69/2.75 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 2.69/2.75 thf(zip_derived_cl31, plain,
% 2.69/2.75 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.69/2.75 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl47, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 2.69/2.75 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl2, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.69/2.75 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [associativity])).
% 2.69/2.75 thf(zip_derived_cl64, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((multiply @ identity @ X0)
% 2.69/2.75 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 2.69/2.75 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl106, plain,
% 2.69/2.75 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.69/2.75 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl84])).
% 2.69/2.75 thf(prove_this_24, conjecture,
% 2.69/2.75 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 2.69/2.75 thf(zf_stmt_2, negated_conjecture,
% 2.69/2.75 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 2.69/2.75 thf(zip_derived_cl26, plain,
% 2.69/2.75 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.69/2.75 thf(zip_derived_cl144, plain,
% 2.69/2.75 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 2.69/2.75 = (sk_c2))
% 2.69/2.75 | ((inverse @ sk_c4) = (sk_c6))
% 2.69/2.75 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl26])).
% 2.69/2.75 thf(zip_derived_cl2, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.69/2.75 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [associativity])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl155, plain,
% 2.69/2.75 ((((identity) = (sk_c2))
% 2.69/2.75 | ((inverse @ sk_c4) = (sk_c6))
% 2.69/2.75 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl144, zip_derived_cl2, zip_derived_cl0,
% 2.69/2.75 zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl156, plain,
% 2.69/2.75 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c2)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl155])).
% 2.69/2.75 thf(prove_this_19, conjecture,
% 2.69/2.75 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 2.69/2.75 thf(zf_stmt_3, negated_conjecture,
% 2.69/2.75 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 2.69/2.75 thf(zip_derived_cl21, plain,
% 2.69/2.75 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.69/2.75 thf(zip_derived_cl162, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 2.69/2.75 | ((inverse @ sk_c4) = (sk_c6))
% 2.69/2.75 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl21])).
% 2.69/2.75 thf(zip_derived_cl164, plain,
% 2.69/2.75 ((((inverse @ sk_c4) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl162])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl97, plain,
% 2.69/2.75 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl94, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl588, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl94])).
% 2.69/2.75 thf(zip_derived_cl612, plain,
% 2.69/2.75 ((((inverse @ sk_c4) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl164, zip_derived_cl588])).
% 2.69/2.75 thf(prove_this_30, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.69/2.75 thf(zf_stmt_4, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 2.69/2.75 thf(zip_derived_cl32, plain,
% 2.69/2.75 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.69/2.75 thf(zip_derived_cl97, plain,
% 2.69/2.75 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl415, plain,
% 2.69/2.75 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.69/2.75 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl97])).
% 2.69/2.75 thf(prove_this_25, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 2.69/2.75 thf(zf_stmt_5, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 2.69/2.75 thf(zip_derived_cl27, plain,
% 2.69/2.75 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.69/2.75 thf(zip_derived_cl478, plain,
% 2.69/2.75 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 2.69/2.75 = (sk_c2))
% 2.69/2.75 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl415, zip_derived_cl27])).
% 2.69/2.75 thf(zip_derived_cl2, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.69/2.75 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [associativity])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl493, plain,
% 2.69/2.75 ((((identity) = (sk_c2))
% 2.69/2.75 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl478, zip_derived_cl2, zip_derived_cl0,
% 2.69/2.75 zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl494, plain,
% 2.69/2.75 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c2)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl493])).
% 2.69/2.75 thf(prove_this_20, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 2.69/2.75 thf(zf_stmt_6, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 2.69/2.75 thf(zip_derived_cl22, plain,
% 2.69/2.75 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.69/2.75 thf(zip_derived_cl501, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl22])).
% 2.69/2.75 thf(zip_derived_cl507, plain,
% 2.69/2.75 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl501])).
% 2.69/2.75 thf(zip_derived_cl588, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl94])).
% 2.69/2.75 thf(zip_derived_cl1549, plain,
% 2.69/2.75 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl507, zip_derived_cl588])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl1551, plain,
% 2.69/2.75 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 2.69/2.75 | ((sk_c7) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1549, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1589, plain,
% 2.69/2.75 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 2.69/2.75 | ((sk_c7) = (sk_c6))
% 2.69/2.75 | ((sk_c7) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl612, zip_derived_cl1551])).
% 2.69/2.75 thf(zip_derived_cl1596, plain,
% 2.69/2.75 ((((sk_c7) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1589])).
% 2.69/2.75 thf(prove_this_26, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.69/2.75 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.69/2.75 thf(zf_stmt_7, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.69/2.75 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 2.69/2.75 thf(zip_derived_cl28, plain,
% 2.69/2.75 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl45, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl104, plain,
% 2.69/2.75 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl84])).
% 2.69/2.75 thf(prove_this_21, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 2.69/2.75 thf(zf_stmt_8, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 2.69/2.75 thf(zip_derived_cl23, plain,
% 2.69/2.75 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_8])).
% 2.69/2.75 thf(zip_derived_cl234, plain,
% 2.69/2.75 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 2.69/2.75 = (sk_c2))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl23])).
% 2.69/2.75 thf(zip_derived_cl2, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.69/2.75 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [associativity])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl245, plain,
% 2.69/2.75 ((((identity) = (sk_c2))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl234, zip_derived_cl2, zip_derived_cl0,
% 2.69/2.75 zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl246, plain,
% 2.69/2.75 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c2)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl245])).
% 2.69/2.75 thf(prove_this_16, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 2.69/2.75 thf(zf_stmt_9, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 2.69/2.75 thf(zip_derived_cl18, plain,
% 2.69/2.75 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.69/2.75 thf(zip_derived_cl251, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl18])).
% 2.69/2.75 thf(zip_derived_cl259, plain,
% 2.69/2.75 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl251])).
% 2.69/2.75 thf(zip_derived_cl588, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl94])).
% 2.69/2.75 thf(zip_derived_cl616, plain,
% 2.69/2.75 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl588])).
% 2.69/2.75 thf(zip_derived_cl1617, plain,
% 2.69/2.75 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 2.69/2.75 | ((sk_c7) = (sk_c6))
% 2.69/2.75 | ((sk_c7) = (sk_c6)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1596, zip_derived_cl616])).
% 2.69/2.75 thf(zip_derived_cl1622, plain,
% 2.69/2.75 ((((sk_c7) = (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1617])).
% 2.69/2.75 thf(zip_derived_cl1723, plain,
% 2.69/2.75 (((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))),
% 2.69/2.75 inference('condensation', [status(thm)], [zip_derived_cl1622])).
% 2.69/2.75 thf(zip_derived_cl1724, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.69/2.75 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 2.69/2.75 | ((inverse @ X0) != (sk_c6))
% 2.69/2.75 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 2.69/2.75 | ((inverse @ X1) != (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 2.69/2.75 | ((inverse @ X2) != (sk_c7))
% 2.69/2.75 | ((multiply @ X2 @ sk_c7) != (X3))
% 2.69/2.75 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c7))
% 2.69/2.75 | ((inverse @ sk_c7) != (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl1723])).
% 2.69/2.75 thf(zip_derived_cl1723, plain,
% 2.69/2.75 (((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))),
% 2.69/2.75 inference('condensation', [status(thm)], [zip_derived_cl1622])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl1729, plain,
% 2.69/2.75 (((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1723, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(prove_this_1, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 2.69/2.75 thf(zf_stmt_10, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 2.69/2.75 thf(zip_derived_cl3, plain,
% 2.69/2.75 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_10])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1735, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl3, zip_derived_cl1734, zip_derived_cl1734])).
% 2.69/2.75 thf(zip_derived_cl1736, plain, (((multiply @ sk_c7 @ sk_c7) = (sk_c5))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1735])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1736, plain, (((multiply @ sk_c7 @ sk_c7) = (sk_c5))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1735])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1736, plain, (((multiply @ sk_c7 @ sk_c7) = (sk_c5))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1735])).
% 2.69/2.75 thf(zip_derived_cl1822, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.69/2.75 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c7)) != (sk_c7))
% 2.69/2.75 | ((inverse @ X0) != (sk_c7))
% 2.69/2.75 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 2.69/2.75 | ((inverse @ X1) != (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c7) != (multiply @ sk_c7 @ sk_c7))
% 2.69/2.75 | ((inverse @ X2) != (sk_c7))
% 2.69/2.75 | ((multiply @ X2 @ sk_c7) != (X3))
% 2.69/2.75 | ((multiply @ sk_c7 @ X3) != (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) != (sk_c7))
% 2.69/2.75 | ((inverse @ sk_c7) != (multiply @ sk_c7 @ sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ sk_c7) != (multiply @ sk_c7 @ sk_c7)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl1724, zip_derived_cl1734, zip_derived_cl1734,
% 2.69/2.75 zip_derived_cl1734, zip_derived_cl1734, zip_derived_cl1734,
% 2.69/2.75 zip_derived_cl1736, zip_derived_cl1734, zip_derived_cl1734,
% 2.69/2.75 zip_derived_cl1736, zip_derived_cl1734, zip_derived_cl1736])).
% 2.69/2.75 thf(zip_derived_cl1823, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.69/2.75 (((inverse @ sk_c7) != (multiply @ sk_c7 @ sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) != (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ X3) != (sk_c7))
% 2.69/2.75 | ((multiply @ X2 @ sk_c7) != (X3))
% 2.69/2.75 | ((inverse @ X2) != (sk_c7))
% 2.69/2.75 | ((inverse @ X1) != (sk_c7))
% 2.69/2.75 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 2.69/2.75 | ((inverse @ X0) != (sk_c7))
% 2.69/2.75 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c7)) != (sk_c7)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1822])).
% 2.69/2.75 thf(prove_this_12, conjecture,
% 2.69/2.75 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 2.69/2.75 thf(zf_stmt_11, negated_conjecture,
% 2.69/2.75 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 2.69/2.75 thf(zip_derived_cl14, plain,
% 2.69/2.75 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_11])).
% 2.69/2.75 thf(zip_derived_cl588, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl94])).
% 2.69/2.75 thf(zip_derived_cl97, plain,
% 2.69/2.75 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl627, plain,
% 2.69/2.75 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl588, zip_derived_cl97])).
% 2.69/2.75 thf(zip_derived_cl793, plain,
% 2.69/2.75 ((((sk_c3) = (inverse @ sk_c7)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl627])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1802, plain,
% 2.69/2.75 ((((sk_c3) = (inverse @ sk_c7)) | ((multiply @ sk_c5 @ sk_c7) = (sk_c7)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl793, zip_derived_cl1734])).
% 2.69/2.75 thf(zip_derived_cl1736, plain, (((multiply @ sk_c7 @ sk_c7) = (sk_c5))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1735])).
% 2.69/2.75 thf(zip_derived_cl2, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.69/2.75 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [associativity])).
% 2.69/2.75 thf(zip_derived_cl1923, plain,
% 2.69/2.75 ((((sk_c3) = (inverse @ sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (sk_c7)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl1802, zip_derived_cl1736, zip_derived_cl2])).
% 2.69/2.75 thf(prove_this_13, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 2.69/2.75 thf(zf_stmt_12, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.69/2.75 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 2.69/2.75 thf(zip_derived_cl15, plain,
% 2.69/2.75 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_12])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1747, plain,
% 2.69/2.75 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c5 @ sk_c7) = (sk_c7)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl15, zip_derived_cl1734, zip_derived_cl1734])).
% 2.69/2.75 thf(zip_derived_cl1736, plain, (((multiply @ sk_c7 @ sk_c7) = (sk_c5))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1735])).
% 2.69/2.75 thf(zip_derived_cl2, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.69/2.75 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [associativity])).
% 2.69/2.75 thf(zip_derived_cl2291, plain,
% 2.69/2.75 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (sk_c7)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl1747, zip_derived_cl1736, zip_derived_cl2])).
% 2.69/2.75 thf(zip_derived_cl2295, plain,
% 2.69/2.75 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (sk_c7)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1923, zip_derived_cl2291])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl2297, plain,
% 2.69/2.75 ((((identity) = (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (sk_c7))
% 2.69/2.75 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (sk_c7)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl2298, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (sk_c7))
% 2.69/2.75 | ((identity) = (sk_c7)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2297])).
% 2.69/2.75 thf(prove_this_7, conjecture,
% 2.69/2.75 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 2.69/2.75 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 2.69/2.75 thf(zf_stmt_13, negated_conjecture,
% 2.69/2.75 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 2.69/2.75 thf(zip_derived_cl9, plain,
% 2.69/2.75 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_13])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl38, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 2.69/2.75 | ((inverse @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl99, plain,
% 2.69/2.75 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.69/2.75 | ((inverse @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl84])).
% 2.69/2.75 thf(prove_this_8, conjecture,
% 2.69/2.75 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.69/2.75 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 2.69/2.75 thf(zf_stmt_14, negated_conjecture,
% 2.69/2.75 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.69/2.75 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 2.69/2.75 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 2.69/2.75 thf(zip_derived_cl10, plain,
% 2.69/2.75 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('cnf', [status(esa)], [zf_stmt_14])).
% 2.69/2.75 thf(zip_derived_cl187, plain,
% 2.69/2.75 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c6)
% 2.69/2.75 = (sk_c7))
% 2.69/2.75 | ((inverse @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((inverse @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl10])).
% 2.69/2.75 thf(zip_derived_cl2, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.69/2.75 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.69/2.75 inference('cnf', [status(esa)], [associativity])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl194, plain,
% 2.69/2.75 ((((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7))
% 2.69/2.75 | ((inverse @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((inverse @ sk_c7) = (sk_c5)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl187, zip_derived_cl2, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl195, plain,
% 2.69/2.75 ((((inverse @ sk_c7) = (sk_c5))
% 2.69/2.75 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl194])).
% 2.69/2.75 thf(zip_derived_cl1734, plain, (((sk_c6) = (sk_c7))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl1729, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl1786, plain,
% 2.69/2.75 ((((inverse @ sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl195, zip_derived_cl1734, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl1736, plain, (((multiply @ sk_c7 @ sk_c7) = (sk_c5))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl1735])).
% 2.69/2.75 thf(zip_derived_cl1827, plain,
% 2.69/2.75 ((((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c7))
% 2.69/2.75 | ((identity) = (sk_c7)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl1786, zip_derived_cl1736])).
% 2.69/2.75 thf(zip_derived_cl627, plain,
% 2.69/2.75 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl588, zip_derived_cl97])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl786, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl627, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl1830, plain,
% 2.69/2.75 ((((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (identity))
% 2.69/2.75 | ((identity) = (sk_c7)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl1827, zip_derived_cl786])).
% 2.69/2.75 thf(zip_derived_cl2543, plain,
% 2.69/2.75 ((((sk_c7) = (identity))
% 2.69/2.75 | ((identity) = (sk_c7))
% 2.69/2.75 | ((identity) = (sk_c7)))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl2298, zip_derived_cl1830])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl96, plain,
% 2.69/2.75 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl84, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 2.69/2.75 thf(zip_derived_cl130, plain,
% 2.69/2.75 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl84])).
% 2.69/2.75 thf(zip_derived_cl1, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_inverse])).
% 2.69/2.75 thf(zip_derived_cl575, plain, (((inverse @ identity) = (identity))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl588, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl94])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl588, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl94])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl0, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.69/2.75 inference('cnf', [status(esa)], [left_identity])).
% 2.69/2.75 thf(zip_derived_cl588, plain,
% 2.69/2.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl94])).
% 2.69/2.75 thf(zip_derived_cl2547, plain, (((sk_c7) = (identity))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2543])).
% 2.69/2.75 thf(zip_derived_cl2578, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.69/2.75 (((identity) != (identity))
% 2.69/2.75 | ((identity) != (identity))
% 2.69/2.75 | ((X3) != (identity))
% 2.69/2.75 | ((X2) != (X3))
% 2.69/2.75 | ((inverse @ X2) != (identity))
% 2.69/2.75 | ((inverse @ X1) != (identity))
% 2.69/2.75 | ((X1) != (identity))
% 2.69/2.75 | ((inverse @ X0) != (identity))
% 2.69/2.75 | ((X0) != (identity)))),
% 2.69/2.75 inference('demod', [status(thm)],
% 2.69/2.75 [zip_derived_cl1823, zip_derived_cl2547, zip_derived_cl575,
% 2.69/2.75 zip_derived_cl2547, zip_derived_cl2547, zip_derived_cl0,
% 2.69/2.75 zip_derived_cl2547, zip_derived_cl2547, zip_derived_cl2547,
% 2.69/2.75 zip_derived_cl0, zip_derived_cl0, zip_derived_cl2547,
% 2.69/2.75 zip_derived_cl2547, zip_derived_cl0, zip_derived_cl2547,
% 2.69/2.75 zip_derived_cl2547, zip_derived_cl588, zip_derived_cl2547,
% 2.69/2.75 zip_derived_cl2547, zip_derived_cl2547, zip_derived_cl588,
% 2.69/2.75 zip_derived_cl2547, zip_derived_cl2547, zip_derived_cl2547,
% 2.69/2.75 zip_derived_cl2547, zip_derived_cl0, zip_derived_cl588,
% 2.69/2.75 zip_derived_cl2547])).
% 2.69/2.75 thf(zip_derived_cl2579, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.69/2.75 (((X0) != (identity))
% 2.69/2.75 | ((inverse @ X0) != (identity))
% 2.69/2.75 | ((X1) != (identity))
% 2.69/2.75 | ((inverse @ X1) != (identity))
% 2.69/2.75 | ((inverse @ X2) != (identity))
% 2.69/2.75 | ((X2) != (X3))
% 2.69/2.75 | ((X3) != (identity)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2578])).
% 2.69/2.75 thf(zip_derived_cl2608, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.69/2.75 (((X0) != (identity))
% 2.69/2.75 | ((inverse @ X0) != (identity))
% 2.69/2.75 | ((inverse @ X1) != (identity))
% 2.69/2.75 | ((X1) != (identity))
% 2.69/2.75 | ((inverse @ X2) != (identity))
% 2.69/2.75 | ((X2) != (identity)))),
% 2.69/2.75 inference('eq_res', [status(thm)], [zip_derived_cl2579])).
% 2.69/2.75 thf(zip_derived_cl2609, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 (((X0) != (identity))
% 2.69/2.75 | ((inverse @ X0) != (identity))
% 2.69/2.75 | ((X1) != (identity))
% 2.69/2.75 | ((inverse @ X1) != (identity))
% 2.69/2.75 | ((inverse @ identity) != (identity)))),
% 2.69/2.75 inference('eq_res', [status(thm)], [zip_derived_cl2608])).
% 2.69/2.75 thf(zip_derived_cl575, plain, (((inverse @ identity) = (identity))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl2610, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 (((X0) != (identity))
% 2.69/2.75 | ((inverse @ X0) != (identity))
% 2.69/2.75 | ((X1) != (identity))
% 2.69/2.75 | ((inverse @ X1) != (identity))
% 2.69/2.75 | ((identity) != (identity)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl2609, zip_derived_cl575])).
% 2.69/2.75 thf(zip_derived_cl2611, plain,
% 2.69/2.75 (![X0 : $i, X1 : $i]:
% 2.69/2.75 (((inverse @ X1) != (identity))
% 2.69/2.75 | ((X1) != (identity))
% 2.69/2.75 | ((inverse @ X0) != (identity))
% 2.69/2.75 | ((X0) != (identity)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2610])).
% 2.69/2.75 thf(zip_derived_cl2612, plain,
% 2.69/2.75 (![X0 : $i]:
% 2.69/2.75 (((X0) != (identity))
% 2.69/2.75 | ((inverse @ X0) != (identity))
% 2.69/2.75 | ((inverse @ identity) != (identity)))),
% 2.69/2.75 inference('eq_res', [status(thm)], [zip_derived_cl2611])).
% 2.69/2.75 thf(zip_derived_cl575, plain, (((inverse @ identity) = (identity))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl2613, plain,
% 2.69/2.75 (![X0 : $i]:
% 2.69/2.75 (((X0) != (identity))
% 2.69/2.75 | ((inverse @ X0) != (identity))
% 2.69/2.75 | ((identity) != (identity)))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl2612, zip_derived_cl575])).
% 2.69/2.75 thf(zip_derived_cl2614, plain,
% 2.69/2.75 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2613])).
% 2.69/2.75 thf(zip_derived_cl2615, plain, (((inverse @ identity) != (identity))),
% 2.69/2.75 inference('eq_res', [status(thm)], [zip_derived_cl2614])).
% 2.69/2.75 thf(zip_derived_cl575, plain, (((inverse @ identity) = (identity))),
% 2.69/2.75 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl1])).
% 2.69/2.75 thf(zip_derived_cl2616, plain, (((identity) != (identity))),
% 2.69/2.75 inference('demod', [status(thm)], [zip_derived_cl2615, zip_derived_cl575])).
% 2.69/2.75 thf(zip_derived_cl2617, plain, ($false),
% 2.69/2.75 inference('simplify', [status(thm)], [zip_derived_cl2616])).
% 2.69/2.75
% 2.69/2.75 % SZS output end Refutation
% 2.69/2.75
% 2.69/2.75
% 2.69/2.75 % Terminating...
% 3.58/3.03 % Runner terminated.
% 3.61/3.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------