%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP368-1 : 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.De0mLRKqWC true
% Computer : n026.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 04:36:19 PM UTC 2025
% Result : Unsatisfiable 1.22s 1.02s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP368-1 : TPTP v9.2.0. Released v2.5.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.De0mLRKqWC true
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:26:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.58 % Total configuration time : 435
% 0.20/0.58 % Estimated wc time : 1092
% 0.20/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.79/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.22/1.02 % Solved by fo/fo7.sh.
% 1.22/1.02 % done 458 iterations in 0.270s
% 1.22/1.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/1.02 % SZS output start Refutation
% 1.22/1.02 thf(sk_c3_type, type, sk_c3: $i).
% 1.22/1.02 thf(sk_c6_type, type, sk_c6: $i).
% 1.22/1.02 thf(sk_c1_type, type, sk_c1: $i).
% 1.22/1.02 thf(sk_c2_type, type, sk_c2: $i).
% 1.22/1.02 thf(identity_type, type, identity: $i).
% 1.22/1.02 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.22/1.02 thf(sk_c7_type, type, sk_c7: $i).
% 1.22/1.02 thf(inverse_type, type, inverse: $i > $i).
% 1.22/1.02 thf(sk_c4_type, type, sk_c4: $i).
% 1.22/1.02 thf(sk_c5_type, type, sk_c5: $i).
% 1.22/1.02 thf(prove_this_31, conjecture,
% 1.22/1.02 (~( ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.22/1.02 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.22/1.02 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.22/1.02 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 1.22/1.02 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.22/1.02 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.22/1.02 ( ( multiply @ X3 @ sk_c7 ) != ( X2 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c7 @ X2 ) != ( sk_c6 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c5 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 1.22/1.02 thf(zf_stmt_0, negated_conjecture,
% 1.22/1.02 (( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.22/1.02 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.22/1.02 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.22/1.02 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 1.22/1.02 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.22/1.02 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.22/1.02 ( ( multiply @ X3 @ sk_c7 ) != ( X2 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c7 @ X2 ) != ( sk_c6 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c5 @ sk_c7 ) != ( sk_c6 ) )),
% 1.22/1.02 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.22/1.02 thf(zip_derived_cl33, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.02 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.22/1.02 | ((inverse @ X0) != (sk_c7))
% 1.22/1.02 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 1.22/1.02 | ((inverse @ sk_c6) != (sk_c5))
% 1.22/1.02 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.22/1.02 | ((inverse @ X1) != (sk_c5))
% 1.22/1.02 | ((multiply @ X1 @ sk_c5) != (sk_c7))
% 1.22/1.02 | ((inverse @ X2) != (sk_c7))
% 1.22/1.02 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.22/1.02 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 1.22/1.02 | ((multiply @ sk_c5 @ sk_c7) != (sk_c6)))),
% 1.22/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/1.02 thf(zip_derived_cl34, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.02 (((multiply @ X0 @ (multiply @ sk_c5 @ sk_c7)) != (sk_c7))
% 1.22/1.02 | ((inverse @ X0) != (sk_c7))
% 1.22/1.02 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 1.22/1.02 | ((inverse @ (multiply @ sk_c5 @ sk_c7)) != (sk_c5))
% 1.22/1.02 | ((multiply @ (multiply @ sk_c5 @ sk_c7) @ sk_c7) != (sk_c5))
% 1.22/1.02 | ((inverse @ X1) != (sk_c5))
% 1.22/1.02 | ((multiply @ X1 @ sk_c5) != (sk_c7))
% 1.22/1.02 | ((inverse @ X2) != (sk_c7))
% 1.22/1.02 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.22/1.02 | ((multiply @ sk_c7 @ X3) != (multiply @ sk_c5 @ sk_c7))
% 1.22/1.02 | ((multiply @ sk_c5 @ sk_c7) != (sk_c6)))),
% 1.22/1.02 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.22/1.02 thf(associativity, axiom,
% 1.22/1.02 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.22/1.02 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.22/1.02 thf(zip_derived_cl2, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.02 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/1.02 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/1.02 inference('cnf', [status(esa)], [associativity])).
% 1.22/1.02 thf(zip_derived_cl66, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.02 (((multiply @ X0 @ (multiply @ sk_c5 @ sk_c7)) != (sk_c7))
% 1.22/1.02 | ((inverse @ X0) != (sk_c7))
% 1.22/1.02 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 1.22/1.02 | ((inverse @ (multiply @ sk_c5 @ sk_c7)) != (sk_c5))
% 1.22/1.02 | ((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c7)) != (sk_c5))
% 1.22/1.02 | ((inverse @ X1) != (sk_c5))
% 1.22/1.02 | ((multiply @ X1 @ sk_c5) != (sk_c7))
% 1.22/1.02 | ((inverse @ X2) != (sk_c7))
% 1.22/1.02 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.22/1.02 | ((multiply @ sk_c7 @ X3) != (multiply @ sk_c5 @ sk_c7))
% 1.22/1.02 | ((multiply @ sk_c5 @ sk_c7) != (sk_c6)))),
% 1.22/1.02 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 1.22/1.02 thf(prove_this_27, conjecture,
% 1.22/1.02 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 1.22/1.02 ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) ))).
% 1.22/1.02 thf(zf_stmt_1, negated_conjecture,
% 1.22/1.02 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c5 ) )),
% 1.22/1.02 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.22/1.02 thf(zip_derived_cl29, plain,
% 1.22/1.02 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c3) = (sk_c5)))),
% 1.22/1.02 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.02 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.22/1.02 thf(zip_derived_cl1, plain,
% 1.22/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.02 thf(zip_derived_cl46, plain,
% 1.22/1.02 ((((multiply @ sk_c5 @ sk_c3) = (identity))
% 1.22/1.02 | ((inverse @ sk_c6) = (sk_c5)))),
% 1.22/1.02 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 1.22/1.02 thf(zip_derived_cl1, plain,
% 1.22/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.02 thf(zip_derived_cl2, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.02 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/1.02 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/1.02 inference('cnf', [status(esa)], [associativity])).
% 1.22/1.02 thf(zip_derived_cl70, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i]:
% 1.22/1.02 ((multiply @ identity @ X0)
% 1.22/1.02 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.02 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.22/1.02 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.22/1.02 thf(zip_derived_cl0, plain,
% 1.22/1.02 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.02 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.02 thf(zip_derived_cl91, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i]:
% 1.22/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.02 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.02 thf(zip_derived_cl108, plain,
% 1.22/1.02 ((((sk_c3) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.22/1.02 | ((inverse @ sk_c6) = (sk_c5)))),
% 1.22/1.02 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl91])).
% 1.22/1.02 thf(prove_this_22, conjecture,
% 1.22/1.02 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.22/1.02 thf(zf_stmt_2, negated_conjecture,
% 1.22/1.02 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 1.22/1.02 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) )),
% 1.22/1.02 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.22/1.02 thf(zip_derived_cl24, plain,
% 1.22/1.02 ((((inverse @ sk_c6) = (sk_c5)) | ((multiply @ sk_c3 @ sk_c5) = (sk_c7)))),
% 1.22/1.02 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.22/1.02 thf(zip_derived_cl211, plain,
% 1.22/1.02 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 1.22/1.02 = (sk_c7))
% 1.22/1.02 | ((inverse @ sk_c6) = (sk_c5))
% 1.22/1.02 | ((inverse @ sk_c6) = (sk_c5)))),
% 1.22/1.02 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl24])).
% 1.22/1.02 thf(zip_derived_cl2, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.02 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/1.02 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/1.02 inference('cnf', [status(esa)], [associativity])).
% 1.22/1.02 thf(zip_derived_cl0, plain,
% 1.22/1.02 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.02 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.02 thf(zip_derived_cl1, plain,
% 1.22/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.02 thf(zip_derived_cl222, plain,
% 1.22/1.02 ((((identity) = (sk_c7))
% 1.22/1.02 | ((inverse @ sk_c6) = (sk_c5))
% 1.22/1.02 | ((inverse @ sk_c6) = (sk_c5)))),
% 1.22/1.02 inference('demod', [status(thm)],
% 1.22/1.02 [zip_derived_cl211, zip_derived_cl2, zip_derived_cl0,
% 1.22/1.02 zip_derived_cl1])).
% 1.22/1.02 thf(zip_derived_cl223, plain,
% 1.22/1.02 ((((inverse @ sk_c6) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.22/1.02 inference('simplify', [status(thm)], [zip_derived_cl222])).
% 1.22/1.02 thf(zip_derived_cl1, plain,
% 1.22/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.02 thf(zip_derived_cl228, plain,
% 1.22/1.02 ((((multiply @ sk_c5 @ sk_c6) = (identity)) | ((identity) = (sk_c7)))),
% 1.22/1.02 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl1])).
% 1.22/1.02 thf(zip_derived_cl91, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i]:
% 1.22/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.02 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.02 thf(zip_derived_cl339, plain,
% 1.22/1.02 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.22/1.02 | ((identity) = (sk_c7)))),
% 1.22/1.02 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl91])).
% 1.22/1.02 thf(zip_derived_cl1, plain,
% 1.22/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.02 thf(zip_derived_cl91, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i]:
% 1.22/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.02 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.02 thf(zip_derived_cl105, plain,
% 1.22/1.02 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.22/1.02 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl91])).
% 1.22/1.02 thf(zip_derived_cl91, plain,
% 1.22/1.02 (![X0 : $i, X1 : $i]:
% 1.22/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl102, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl699, plain,
% 1.22/1.03 ((((sk_c6) = (inverse @ sk_c5)) | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl339, zip_derived_cl664])).
% 1.22/1.03 thf(prove_this_29, conjecture,
% 1.22/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) ))).
% 1.22/1.03 thf(zf_stmt_3, negated_conjecture,
% 1.22/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c5 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.22/1.03 thf(zip_derived_cl31, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c5)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl48, plain,
% 1.22/1.03 ((((multiply @ sk_c5 @ sk_c3) = (identity))
% 1.22/1.03 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl110, plain,
% 1.22/1.03 ((((sk_c3) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.22/1.03 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl91])).
% 1.22/1.03 thf(prove_this_24, conjecture,
% 1.22/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.22/1.03 thf(zf_stmt_4, negated_conjecture,
% 1.22/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.22/1.03 thf(zip_derived_cl26, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c3 @ sk_c5) = (sk_c7)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.22/1.03 thf(zip_derived_cl150, plain,
% 1.22/1.03 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 1.22/1.03 = (sk_c7))
% 1.22/1.03 | ((inverse @ sk_c4) = (sk_c7))
% 1.22/1.03 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl26])).
% 1.22/1.03 thf(zip_derived_cl2, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.03 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/1.03 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/1.03 inference('cnf', [status(esa)], [associativity])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl161, plain,
% 1.22/1.03 ((((identity) = (sk_c7))
% 1.22/1.03 | ((inverse @ sk_c4) = (sk_c7))
% 1.22/1.03 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl150, zip_derived_cl2, zip_derived_cl0,
% 1.22/1.03 zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl162, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl161])).
% 1.22/1.03 thf(prove_this_30, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) ))).
% 1.22/1.03 thf(zf_stmt_5, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c3 ) = ( sk_c5 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.22/1.03 thf(zip_derived_cl32, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c5)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.22/1.03 thf(zip_derived_cl105, plain,
% 1.22/1.03 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl458, plain,
% 1.22/1.03 ((((sk_c3) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl105])).
% 1.22/1.03 thf(prove_this_25, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.22/1.03 thf(zf_stmt_6, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.22/1.03 thf(zip_derived_cl27, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c3 @ sk_c5) = (sk_c7)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.22/1.03 thf(zip_derived_cl563, plain,
% 1.22/1.03 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 1.22/1.03 = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl27])).
% 1.22/1.03 thf(zip_derived_cl2, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.03 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/1.03 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/1.03 inference('cnf', [status(esa)], [associativity])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl576, plain,
% 1.22/1.03 ((((identity) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl563, zip_derived_cl2, zip_derived_cl0,
% 1.22/1.03 zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl577, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl576])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl580, plain,
% 1.22/1.03 ((((sk_c6) = (multiply @ (inverse @ sk_c4) @ sk_c7))
% 1.22/1.03 | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl598, plain,
% 1.22/1.03 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.22/1.03 | ((identity) = (sk_c7))
% 1.22/1.03 | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl580])).
% 1.22/1.03 thf(zip_derived_cl603, plain,
% 1.22/1.03 ((((identity) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl598])).
% 1.22/1.03 thf(prove_this_28, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) ))).
% 1.22/1.03 thf(zf_stmt_7, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c3 ) = ( sk_c5 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.22/1.03 thf(zip_derived_cl30, plain,
% 1.22/1.03 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c3) = (sk_c5)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl47, plain,
% 1.22/1.03 ((((multiply @ sk_c5 @ sk_c3) = (identity))
% 1.22/1.03 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl109, plain,
% 1.22/1.03 ((((sk_c3) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.22/1.03 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl91])).
% 1.22/1.03 thf(prove_this_23, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.22/1.03 thf(zf_stmt_8, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.22/1.03 thf(zip_derived_cl25, plain,
% 1.22/1.03 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 1.22/1.03 | ((multiply @ sk_c3 @ sk_c5) = (sk_c7)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.22/1.03 thf(zip_derived_cl234, plain,
% 1.22/1.03 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 1.22/1.03 = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 1.22/1.03 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl25])).
% 1.22/1.03 thf(zip_derived_cl2, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.03 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/1.03 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/1.03 inference('cnf', [status(esa)], [associativity])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl245, plain,
% 1.22/1.03 ((((identity) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 1.22/1.03 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl234, zip_derived_cl2, zip_derived_cl0,
% 1.22/1.03 zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl246, plain,
% 1.22/1.03 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl245])).
% 1.22/1.03 thf(zip_derived_cl616, plain,
% 1.22/1.03 ((((multiply @ sk_c7 @ sk_c5) = (multiply @ sk_c7 @ sk_c7))
% 1.22/1.03 | ((identity) = (sk_c7))
% 1.22/1.03 | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl603, zip_derived_cl246])).
% 1.22/1.03 thf(zip_derived_cl625, plain,
% 1.22/1.03 ((((identity) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c7 @ sk_c5) = (multiply @ sk_c7 @ sk_c7)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl616])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl935, plain,
% 1.22/1.03 ((((sk_c7) = (multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ sk_c5)))
% 1.22/1.03 | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl625, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl937, plain,
% 1.22/1.03 ((((sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl935, zip_derived_cl91])).
% 1.22/1.03 thf(prove_this_26, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) ))).
% 1.22/1.03 thf(zf_stmt_9, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c3 ) = ( sk_c5 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.22/1.03 thf(zip_derived_cl28, plain,
% 1.22/1.03 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c3) = (sk_c5)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl105, plain,
% 1.22/1.03 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl717, plain,
% 1.22/1.03 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl105])).
% 1.22/1.03 thf(zip_derived_cl927, plain,
% 1.22/1.03 ((((sk_c3) = (inverse @ sk_c5)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl717])).
% 1.22/1.03 thf(prove_this_21, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.22/1.03 thf(zf_stmt_10, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c7 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.22/1.03 thf(zip_derived_cl23, plain,
% 1.22/1.03 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.22/1.03 | ((multiply @ sk_c3 @ sk_c5) = (sk_c7)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.22/1.03 thf(zip_derived_cl1413, plain,
% 1.22/1.03 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.22/1.03 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl927, zip_derived_cl23])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl1426, plain,
% 1.22/1.03 ((((identity) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.22/1.03 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1413, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl1427, plain,
% 1.22/1.03 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl1426])).
% 1.22/1.03 thf(zip_derived_cl1974, plain,
% 1.22/1.03 ((((multiply @ sk_c6 @ sk_c5) = (sk_c5))
% 1.22/1.03 | ((identity) = (sk_c7))
% 1.22/1.03 | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl937, zip_derived_cl1427])).
% 1.22/1.03 thf(zip_derived_cl1993, plain,
% 1.22/1.03 ((((identity) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c5)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl1974])).
% 1.22/1.03 thf(zip_derived_cl2149, plain,
% 1.22/1.03 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c5))
% 1.22/1.03 | ((identity) = (sk_c7))
% 1.22/1.03 | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl699, zip_derived_cl1993])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl2165, plain,
% 1.22/1.03 ((((identity) = (sk_c5))
% 1.22/1.03 | ((identity) = (sk_c7))
% 1.22/1.03 | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl2149, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl2166, plain,
% 1.22/1.03 ((((identity) = (sk_c7)) | ((identity) = (sk_c5)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2165])).
% 1.22/1.03 thf(zip_derived_cl937, plain,
% 1.22/1.03 ((((sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl935, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl962, plain,
% 1.22/1.03 ((((sk_c5) != (identity)) | ((identity) = (sk_c7)))),
% 1.22/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl937])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2216, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (((multiply @ X0 @ sk_c5) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((sk_c5) != (sk_c6))
% 1.22/1.03 | ((inverse @ sk_c5) != (sk_c5))
% 1.22/1.03 | ((sk_c5) != (sk_c5))
% 1.22/1.03 | ((inverse @ X1) != (sk_c5))
% 1.22/1.03 | ((multiply @ X1 @ sk_c5) != (identity))
% 1.22/1.03 | ((inverse @ X2) != (identity))
% 1.22/1.03 | ((X2) != (X3))
% 1.22/1.03 | ((X3) != (sk_c5))
% 1.22/1.03 | ((sk_c5) != (sk_c6)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl66, zip_derived_cl2172, zip_derived_cl664,
% 1.22/1.03 zip_derived_cl2172, zip_derived_cl2172, zip_derived_cl2172,
% 1.22/1.03 zip_derived_cl0, zip_derived_cl2172, zip_derived_cl664,
% 1.22/1.03 zip_derived_cl2172, zip_derived_cl2172, zip_derived_cl0,
% 1.22/1.03 zip_derived_cl664, zip_derived_cl2172, zip_derived_cl2172,
% 1.22/1.03 zip_derived_cl2172, zip_derived_cl664, zip_derived_cl2172,
% 1.22/1.03 zip_derived_cl0, zip_derived_cl2172, zip_derived_cl664,
% 1.22/1.03 zip_derived_cl2172, zip_derived_cl664])).
% 1.22/1.03 thf(zip_derived_cl2217, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (((X3) != (sk_c5))
% 1.22/1.03 | ((X2) != (X3))
% 1.22/1.03 | ((inverse @ X2) != (identity))
% 1.22/1.03 | ((multiply @ X1 @ sk_c5) != (identity))
% 1.22/1.03 | ((inverse @ X1) != (sk_c5))
% 1.22/1.03 | ((inverse @ sk_c5) != (sk_c5))
% 1.22/1.03 | ((sk_c5) != (sk_c6))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((multiply @ X0 @ sk_c5) != (identity)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2216])).
% 1.22/1.03 thf(prove_this_1, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.22/1.03 thf(zf_stmt_11, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.22/1.03 thf(zip_derived_cl3, plain,
% 1.22/1.03 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.22/1.03 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2173, plain, ((((sk_c6) = (sk_c5)) | ((sk_c5) = (sk_c6)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl2172, zip_derived_cl664,
% 1.22/1.03 zip_derived_cl2172, zip_derived_cl664])).
% 1.22/1.03 thf(zip_derived_cl2174, plain, (((sk_c6) = (sk_c5))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2173])).
% 1.22/1.03 thf(zip_derived_cl2273, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (((X3) != (sk_c5))
% 1.22/1.03 | ((X2) != (X3))
% 1.22/1.03 | ((inverse @ X2) != (identity))
% 1.22/1.03 | ((multiply @ X1 @ sk_c5) != (identity))
% 1.22/1.03 | ((inverse @ X1) != (sk_c5))
% 1.22/1.03 | ((inverse @ sk_c5) != (sk_c5))
% 1.22/1.03 | ((sk_c5) != (sk_c5))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((multiply @ X0 @ sk_c5) != (identity)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2217, zip_derived_cl2174])).
% 1.22/1.03 thf(zip_derived_cl2274, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (((multiply @ X0 @ sk_c5) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((inverse @ sk_c5) != (sk_c5))
% 1.22/1.03 | ((inverse @ X1) != (sk_c5))
% 1.22/1.03 | ((multiply @ X1 @ sk_c5) != (identity))
% 1.22/1.03 | ((inverse @ X2) != (identity))
% 1.22/1.03 | ((X2) != (X3))
% 1.22/1.03 | ((X3) != (sk_c5)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2273])).
% 1.22/1.03 thf(zip_derived_cl2275, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.03 (((X0) != (sk_c5))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((multiply @ X1 @ sk_c5) != (identity))
% 1.22/1.03 | ((inverse @ X1) != (sk_c5))
% 1.22/1.03 | ((inverse @ sk_c5) != (sk_c5))
% 1.22/1.03 | ((inverse @ X2) != (identity))
% 1.22/1.03 | ((multiply @ X2 @ sk_c5) != (identity)))),
% 1.22/1.03 inference('eq_res', [status(thm)], [zip_derived_cl2274])).
% 1.22/1.03 thf(prove_this_9, conjecture,
% 1.22/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.22/1.03 thf(zf_stmt_12, negated_conjecture,
% 1.22/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.22/1.03 thf(zip_derived_cl11, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl2183, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (identity)) | ((sk_c2) = (sk_c6)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl11, zip_derived_cl2172, zip_derived_cl2172,
% 1.22/1.03 zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl2174, plain, (((sk_c6) = (sk_c5))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2173])).
% 1.22/1.03 thf(zip_derived_cl2304, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (identity)) | ((sk_c2) = (sk_c5)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2183, zip_derived_cl2174])).
% 1.22/1.03 thf(prove_this_14, conjecture,
% 1.22/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.22/1.03 thf(zf_stmt_13, negated_conjecture,
% 1.22/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.22/1.03 thf(zip_derived_cl16, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2188, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (identity)) | ((sk_c1) = (sk_c2)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl16, zip_derived_cl2172, zip_derived_cl2172,
% 1.22/1.03 zip_derived_cl664])).
% 1.22/1.03 thf(prove_this_19, conjecture,
% 1.22/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.22/1.03 thf(zf_stmt_14, negated_conjecture,
% 1.22/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.22/1.03 thf(zip_derived_cl21, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2193, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl21, zip_derived_cl2172, zip_derived_cl2172])).
% 1.22/1.03 thf(zip_derived_cl2437, plain,
% 1.22/1.03 ((((inverse @ sk_c2) = (identity))
% 1.22/1.03 | ((inverse @ sk_c4) = (identity))
% 1.22/1.03 | ((inverse @ sk_c4) = (identity)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl2188, zip_derived_cl2193])).
% 1.22/1.03 thf(zip_derived_cl2443, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c2) = (identity)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2437])).
% 1.22/1.03 thf(zip_derived_cl2539, plain,
% 1.22/1.03 ((((inverse @ sk_c5) = (identity))
% 1.22/1.03 | ((inverse @ sk_c4) = (identity))
% 1.22/1.03 | ((inverse @ sk_c4) = (identity)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl2304, zip_derived_cl2443])).
% 1.22/1.03 thf(zip_derived_cl2546, plain,
% 1.22/1.03 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c5) = (identity)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2539])).
% 1.22/1.03 thf(zip_derived_cl717, plain,
% 1.22/1.03 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl105])).
% 1.22/1.03 thf(zip_derived_cl2567, plain,
% 1.22/1.03 ((((sk_c4) = (inverse @ identity)) | ((inverse @ sk_c5) = (identity)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl2546, zip_derived_cl717])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl104, plain,
% 1.22/1.03 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl140, plain,
% 1.22/1.03 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl519, plain, (((inverse @ identity) = (identity))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl2572, plain,
% 1.22/1.03 ((((sk_c4) = (identity)) | ((inverse @ sk_c5) = (identity)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl2567, zip_derived_cl519])).
% 1.22/1.03 thf(prove_this_20, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.22/1.03 thf(zf_stmt_15, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.22/1.03 thf(zip_derived_cl22, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.22/1.03 thf(zip_derived_cl717, plain,
% 1.22/1.03 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl105])).
% 1.22/1.03 thf(zip_derived_cl926, plain,
% 1.22/1.03 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl717])).
% 1.22/1.03 thf(prove_this_15, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.22/1.03 thf(zf_stmt_16, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.22/1.03 thf(zip_derived_cl17, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.22/1.03 thf(zip_derived_cl1365, plain,
% 1.22/1.03 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c2))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl926, zip_derived_cl17])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/1.03 thf(zip_derived_cl1381, plain,
% 1.22/1.03 ((((identity) = (sk_c2))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1365, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl1382, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c2)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl1381])).
% 1.22/1.03 thf(prove_this_10, conjecture,
% 1.22/1.03 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.22/1.03 thf(zf_stmt_17, negated_conjecture,
% 1.22/1.03 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/1.03 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.22/1.03 thf(zip_derived_cl12, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.22/1.03 thf(zip_derived_cl1400, plain,
% 1.22/1.03 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl1382, zip_derived_cl12])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl1410, plain,
% 1.22/1.03 ((((sk_c7) = (sk_c6))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.22/1.03 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1400, zip_derived_cl664])).
% 1.22/1.03 thf(zip_derived_cl1411, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl1410])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2172, plain, (((identity) = (sk_c7))),
% 1.22/1.03 inference('clc', [status(thm)], [zip_derived_cl2166, zip_derived_cl962])).
% 1.22/1.03 thf(zip_derived_cl2261, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl1411, zip_derived_cl2172, zip_derived_cl2172])).
% 1.22/1.03 thf(zip_derived_cl2174, plain, (((sk_c6) = (sk_c5))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2173])).
% 1.22/1.03 thf(zip_derived_cl2174, plain, (((sk_c6) = (sk_c5))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2173])).
% 1.22/1.03 thf(zip_derived_cl2588, plain,
% 1.22/1.03 ((((multiply @ sk_c4 @ sk_c5) = (identity)) | ((identity) = (sk_c5)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2261, zip_derived_cl2174, zip_derived_cl2174])).
% 1.22/1.03 thf(zip_derived_cl2592, plain,
% 1.22/1.03 ((((multiply @ identity @ sk_c5) = (identity))
% 1.22/1.03 | ((inverse @ sk_c5) = (identity))
% 1.22/1.03 | ((identity) = (sk_c5)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl2572, zip_derived_cl2588])).
% 1.22/1.03 thf(zip_derived_cl0, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.22/1.03 thf(zip_derived_cl2594, plain,
% 1.22/1.03 ((((sk_c5) = (identity))
% 1.22/1.03 | ((inverse @ sk_c5) = (identity))
% 1.22/1.03 | ((identity) = (sk_c5)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl2592, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl2595, plain,
% 1.22/1.03 ((((inverse @ sk_c5) = (identity)) | ((sk_c5) = (identity)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2594])).
% 1.22/1.03 thf(zip_derived_cl717, plain,
% 1.22/1.03 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl105])).
% 1.22/1.03 thf(zip_derived_cl2598, plain,
% 1.22/1.03 ((((sk_c5) = (inverse @ identity)) | ((sk_c5) = (identity)))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl2595, zip_derived_cl717])).
% 1.22/1.03 thf(zip_derived_cl519, plain, (((inverse @ identity) = (identity))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl2607, plain,
% 1.22/1.03 ((((sk_c5) = (identity)) | ((sk_c5) = (identity)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl2598, zip_derived_cl519])).
% 1.22/1.03 thf(zip_derived_cl2608, plain, (((sk_c5) = (identity))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2607])).
% 1.22/1.03 thf(zip_derived_cl2608, plain, (((sk_c5) = (identity))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2607])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2608, plain, (((sk_c5) = (identity))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2607])).
% 1.22/1.03 thf(zip_derived_cl2608, plain, (((sk_c5) = (identity))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2607])).
% 1.22/1.03 thf(zip_derived_cl519, plain, (((inverse @ identity) = (identity))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl2608, plain, (((sk_c5) = (identity))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2607])).
% 1.22/1.03 thf(zip_derived_cl2608, plain, (((sk_c5) = (identity))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2607])).
% 1.22/1.03 thf(zip_derived_cl664, plain,
% 1.22/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.22/1.03 thf(zip_derived_cl2630, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.03 (((X0) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((X1) != (identity))
% 1.22/1.03 | ((inverse @ X1) != (identity))
% 1.22/1.03 | ((identity) != (identity))
% 1.22/1.03 | ((inverse @ X2) != (identity))
% 1.22/1.03 | ((X2) != (identity)))),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2275, zip_derived_cl2608, zip_derived_cl2608,
% 1.22/1.03 zip_derived_cl664, zip_derived_cl2608, zip_derived_cl2608,
% 1.22/1.03 zip_derived_cl519, zip_derived_cl2608, zip_derived_cl2608,
% 1.22/1.03 zip_derived_cl664])).
% 1.22/1.03 thf(zip_derived_cl2631, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.03 (((X2) != (identity))
% 1.22/1.03 | ((inverse @ X2) != (identity))
% 1.22/1.03 | ((inverse @ X1) != (identity))
% 1.22/1.03 | ((X1) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((X0) != (identity)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2630])).
% 1.22/1.03 thf(zip_derived_cl2650, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 (((X0) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((X1) != (identity))
% 1.22/1.03 | ((inverse @ X1) != (identity))
% 1.22/1.03 | ((inverse @ identity) != (identity)))),
% 1.22/1.03 inference('eq_res', [status(thm)], [zip_derived_cl2631])).
% 1.22/1.03 thf(zip_derived_cl519, plain, (((inverse @ identity) = (identity))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl2651, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 (((X0) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((X1) != (identity))
% 1.22/1.03 | ((inverse @ X1) != (identity))
% 1.22/1.03 | ((identity) != (identity)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl2650, zip_derived_cl519])).
% 1.22/1.03 thf(zip_derived_cl2652, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 (((inverse @ X1) != (identity))
% 1.22/1.03 | ((X1) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((X0) != (identity)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2651])).
% 1.22/1.03 thf(zip_derived_cl2653, plain,
% 1.22/1.03 (![X0 : $i]:
% 1.22/1.03 (((X0) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((inverse @ identity) != (identity)))),
% 1.22/1.03 inference('eq_res', [status(thm)], [zip_derived_cl2652])).
% 1.22/1.03 thf(zip_derived_cl519, plain, (((inverse @ identity) = (identity))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl2654, plain,
% 1.22/1.03 (![X0 : $i]:
% 1.22/1.03 (((X0) != (identity))
% 1.22/1.03 | ((inverse @ X0) != (identity))
% 1.22/1.03 | ((identity) != (identity)))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl2653, zip_derived_cl519])).
% 1.22/1.03 thf(zip_derived_cl2655, plain,
% 1.22/1.03 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2654])).
% 1.22/1.03 thf(zip_derived_cl2656, plain, (((inverse @ identity) != (identity))),
% 1.22/1.03 inference('eq_res', [status(thm)], [zip_derived_cl2655])).
% 1.22/1.03 thf(zip_derived_cl519, plain, (((inverse @ identity) = (identity))),
% 1.22/1.03 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl1])).
% 1.22/1.03 thf(zip_derived_cl2657, plain, (((identity) != (identity))),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl2656, zip_derived_cl519])).
% 1.22/1.03 thf(zip_derived_cl2658, plain, ($false),
% 1.22/1.03 inference('simplify', [status(thm)], [zip_derived_cl2657])).
% 1.22/1.03
% 1.22/1.03 % SZS output end Refutation
% 1.22/1.03
% 1.22/1.03
% 1.22/1.03 % Terminating...
% 1.53/1.17 % Runner terminated.
% 1.66/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------