TSTP Solution File: GRP236-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TWsy2Pqdl1 true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:50 EDT 2023
% Result : Unsatisfiable 2.75s 0.97s
% Output : Refutation 2.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TWsy2Pqdl1 true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:38:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.75/0.97 % Solved by fo/fo7.sh.
% 2.75/0.97 % done 435 iterations in 0.192s
% 2.75/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.75/0.97 % SZS output start Refutation
% 2.75/0.97 thf(sk_c2_type, type, sk_c2: $i).
% 2.75/0.97 thf(sk_c1_type, type, sk_c1: $i).
% 2.75/0.97 thf(sk_c5_type, type, sk_c5: $i).
% 2.75/0.97 thf(sk_c6_type, type, sk_c6: $i).
% 2.75/0.97 thf(identity_type, type, identity: $i).
% 2.75/0.97 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.75/0.97 thf(sk_c7_type, type, sk_c7: $i).
% 2.75/0.97 thf(inverse_type, type, inverse: $i > $i).
% 2.75/0.97 thf(sk_c4_type, type, sk_c4: $i).
% 2.75/0.97 thf(sk_c3_type, type, sk_c3: $i).
% 2.75/0.97 thf(sk_c8_type, type, sk_c8: $i).
% 2.75/0.97 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(associativity, axiom,
% 2.75/0.97 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 2.75/0.97 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 2.75/0.97 thf(zip_derived_cl2, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.75/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.75/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.75/0.97 inference('cnf', [status(esa)], [associativity])).
% 2.75/0.97 thf(zip_derived_cl106, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((multiply @ identity @ X0)
% 2.75/0.97 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 2.75/0.97 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 2.75/0.97 thf(zip_derived_cl0, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl131, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl123])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl128, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl123])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl131, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl123])).
% 2.75/0.97 thf(zip_derived_cl334, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl131])).
% 2.75/0.97 thf(prove_this_27, conjecture,
% 2.75/0.97 (~( ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 2.75/0.97 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c7 ) ) |
% 2.75/0.97 ( ( inverse @ X5 ) != ( X6 ) ) |
% 2.75/0.97 ( ( multiply @ X5 @ X6 ) != ( sk_c7 ) ) |
% 2.75/0.97 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 2.75/0.97 thf(zf_stmt_0, negated_conjecture,
% 2.75/0.97 (( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 2.75/0.97 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c7 ) ) |
% 2.75/0.97 ( ( inverse @ X5 ) != ( X6 ) ) |
% 2.75/0.97 ( ( multiply @ X5 @ X6 ) != ( sk_c7 ) ) |
% 2.75/0.97 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ X4 ) != ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 2.75/0.97 thf(zip_derived_cl29, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.75/0.97 (((inverse @ X0) != (sk_c8))
% 2.75/0.97 | ((multiply @ X0 @ sk_c8) != (X1))
% 2.75/0.97 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 2.75/0.97 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 2.75/0.97 | ((inverse @ X2) != (sk_c8))
% 2.75/0.97 | ((multiply @ X3 @ sk_c8) != (sk_c7))
% 2.75/0.97 | ((inverse @ X4) != (X3))
% 2.75/0.97 | ((multiply @ X4 @ X3) != (sk_c7))
% 2.75/0.97 | ((multiply @ X5 @ sk_c7) != (sk_c8))
% 2.75/0.97 | ((inverse @ X5) != (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c8) != (sk_c7)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.75/0.97 thf(zip_derived_cl30, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.75/0.97 (((inverse @ X0) != (sk_c8))
% 2.75/0.97 | ((multiply @ X0 @ sk_c8) != (X1))
% 2.75/0.97 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((inverse @ X2) != (sk_c8))
% 2.75/0.97 | ((multiply @ X3 @ sk_c8) != (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ X4) != (X3))
% 2.75/0.97 | ((multiply @ X4 @ X3) != (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((inverse @ X5) != (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c8) != (sk_c7)))),
% 2.75/0.97 inference('local_rewriting', [status(thm)], [zip_derived_cl29])).
% 2.75/0.97 thf(prove_this_1, conjecture, (( inverse @ sk_c8 ) != ( sk_c7 ))).
% 2.75/0.97 thf(zf_stmt_1, negated_conjecture, (( inverse @ sk_c8 ) = ( sk_c7 )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl31, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.75/0.97 (((inverse @ X0) != (sk_c8))
% 2.75/0.97 | ((multiply @ X0 @ sk_c8) != (X1))
% 2.75/0.97 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((inverse @ X2) != (sk_c8))
% 2.75/0.97 | ((multiply @ X3 @ sk_c8) != (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ X4) != (X3))
% 2.75/0.97 | ((multiply @ X4 @ X3) != (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((inverse @ X5) != (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c8) != (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl32, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.75/0.97 (((inverse @ X5) != (sk_c8))
% 2.75/0.97 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((multiply @ X4 @ X3) != (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ X4) != (X3))
% 2.75/0.97 | ((multiply @ X3 @ sk_c8) != (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ X2) != (sk_c8))
% 2.75/0.97 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ X0 @ sk_c8) != (X1))
% 2.75/0.97 | ((inverse @ X0) != (sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl31])).
% 2.75/0.97 thf(zip_derived_cl341, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.75/0.97 (((X0) != (sk_c8))
% 2.75/0.97 | ((inverse @ X1) != (sk_c8))
% 2.75/0.97 | ((multiply @ X1 @ sk_c8) != (X2))
% 2.75/0.97 | ((multiply @ sk_c8 @ X2) != (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((inverse @ X3) != (sk_c8))
% 2.75/0.97 | ((multiply @ X4 @ sk_c8) != (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ X5) != (X4))
% 2.75/0.97 | ((multiply @ X5 @ X4) != (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ (inverse @ X0) @ (inverse @ sk_c8)) != (sk_c8)))),
% 2.75/0.97 inference('sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl32])).
% 2.75/0.97 thf(zip_derived_cl384, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.75/0.97 (((multiply @ (inverse @ sk_c8) @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((multiply @ X1 @ X0) != (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ X1) != (X0))
% 2.75/0.97 | ((multiply @ X0 @ sk_c8) != (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ X2) != (sk_c8))
% 2.75/0.97 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c8 @ X3) != (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ X4 @ sk_c8) != (X3))
% 2.75/0.97 | ((inverse @ X4) != (sk_c8)))),
% 2.75/0.97 inference('eq_res', [status(thm)], [zip_derived_cl341])).
% 2.75/0.97 thf(prove_this_21, conjecture,
% 2.75/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 2.75/0.97 thf(zf_stmt_2, negated_conjecture,
% 2.75/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 2.75/0.97 thf(zip_derived_cl23, plain,
% 2.75/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c3)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.75/0.97 thf(prove_this_16, conjecture,
% 2.75/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 2.75/0.97 thf(zf_stmt_3, negated_conjecture,
% 2.75/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 2.75/0.97 thf(zip_derived_cl18, plain,
% 2.75/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl58, plain,
% 2.75/0.97 ((((inverse @ sk_c5) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c2 @ sk_c3) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl61, plain,
% 2.75/0.97 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ sk_c5) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl58])).
% 2.75/0.97 thf(zip_derived_cl64, plain,
% 2.75/0.97 ((((inverse @ sk_c5) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl61])).
% 2.75/0.97 thf(zip_derived_cl334, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl131])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl339, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl386, plain,
% 2.75/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl339])).
% 2.75/0.97 thf(zip_derived_cl334, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl131])).
% 2.75/0.97 thf(zip_derived_cl418, plain,
% 2.75/0.97 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl334])).
% 2.75/0.97 thf(prove_this_20, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 2.75/0.97 thf(zf_stmt_4, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 2.75/0.97 thf(zip_derived_cl22, plain,
% 2.75/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c3)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.75/0.97 thf(prove_this_15, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 2.75/0.97 thf(zf_stmt_5, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 2.75/0.97 thf(zip_derived_cl17, plain,
% 2.75/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl79, plain,
% 2.75/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((multiply @ sk_c2 @ sk_c3) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl81, plain,
% 2.75/0.97 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl79])).
% 2.75/0.97 thf(zip_derived_cl85, plain,
% 2.75/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl81])).
% 2.75/0.97 thf(zip_derived_cl339, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl912, plain,
% 2.75/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl339])).
% 2.75/0.97 thf(zip_derived_cl920, plain,
% 2.75/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl418, zip_derived_cl912])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl923, plain,
% 2.75/0.97 ((((identity) = (sk_c6))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl920, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl924, plain,
% 2.75/0.97 ((((identity) = (inverse @ sk_c8)) | ((identity) = (sk_c6)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl923])).
% 2.75/0.97 thf(prove_this_19, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 2.75/0.97 thf(zf_stmt_6, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 2.75/0.97 thf(zip_derived_cl21, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c3)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl40, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ sk_c2) = (sk_c3)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 2.75/0.97 thf(prove_this_14, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 2.75/0.97 thf(zf_stmt_7, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 2.75/0.97 thf(zip_derived_cl16, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 2.75/0.97 | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl96, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c2 @ sk_c3) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl16, zip_derived_cl3, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl101, plain,
% 2.75/0.97 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c8 @ sk_c6) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c8 @ sk_c6) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl96])).
% 2.75/0.97 thf(zip_derived_cl102, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl101])).
% 2.75/0.97 thf(zip_derived_cl339, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl1107, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (inverse @ sk_c8))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl339])).
% 2.75/0.97 thf(zip_derived_cl1116, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ identity) = (inverse @ sk_c8))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl924, zip_derived_cl1107])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl1121, plain,
% 2.75/0.97 ((((sk_c8) = (inverse @ sk_c8))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl1116, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1122, plain,
% 2.75/0.97 ((((identity) = (inverse @ sk_c8)) | ((sk_c8) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl1121])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl1124, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c8) = (identity))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1122, zip_derived_cl1])).
% 2.75/0.97 thf(prove_this_6, conjecture,
% 2.75/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_8, negated_conjecture,
% 2.75/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 2.75/0.97 thf(zip_derived_cl8, plain,
% 2.75/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl36, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl136, plain,
% 2.75/0.97 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl123])).
% 2.75/0.97 thf(prove_this_5, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_9, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 2.75/0.97 thf(zip_derived_cl7, plain,
% 2.75/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.75/0.97 thf(zip_derived_cl166, plain,
% 2.75/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 2.75/0.97 = (sk_c6))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl7])).
% 2.75/0.97 thf(zip_derived_cl2, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.75/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.75/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.75/0.97 inference('cnf', [status(esa)], [associativity])).
% 2.75/0.97 thf(zip_derived_cl0, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl171, plain,
% 2.75/0.97 ((((identity) = (sk_c6))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl166, zip_derived_cl2, zip_derived_cl0,
% 2.75/0.97 zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl172, plain,
% 2.75/0.97 ((((inverse @ sk_c1) = (sk_c8)) | ((identity) = (sk_c6)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl171])).
% 2.75/0.97 thf(prove_this_4, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_10, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 2.75/0.97 thf(zip_derived_cl6, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_10])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl50, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl176, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ identity) = (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl50])).
% 2.75/0.97 thf(zip_derived_cl178, plain,
% 2.75/0.97 ((((inverse @ sk_c1) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c8 @ identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl176])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl327, plain,
% 2.75/0.97 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c8) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl316])).
% 2.75/0.97 thf(prove_this_11, conjecture,
% 2.75/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_11, negated_conjecture,
% 2.75/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 2.75/0.97 thf(zip_derived_cl13, plain,
% 2.75/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_11])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl45, plain,
% 2.75/0.97 ((((inverse @ sk_c5) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl334, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl131])).
% 2.75/0.97 thf(zip_derived_cl348, plain,
% 2.75/0.97 ((((sk_c5) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl334])).
% 2.75/0.97 thf(prove_this_10, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_12, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 2.75/0.97 thf(zip_derived_cl12, plain,
% 2.75/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_12])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl88, plain,
% 2.75/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl507, plain,
% 2.75/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl348, zip_derived_cl88])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl516, plain,
% 2.75/0.97 ((((identity) = (sk_c6))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl507, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl517, plain,
% 2.75/0.97 ((((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((identity) = (sk_c6)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl516])).
% 2.75/0.97 thf(prove_this_9, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_13, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 2.75/0.97 thf(zip_derived_cl11, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 2.75/0.97 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_13])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl87, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c6) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl11, zip_derived_cl3, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl522, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ identity) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl87])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl525, plain,
% 2.75/0.97 ((((sk_c8) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl522, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl526, plain,
% 2.75/0.97 ((((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((sk_c8) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl525])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl880, plain,
% 2.75/0.97 ((((inverse @ sk_c8) = (multiply @ (inverse @ sk_c1) @ sk_c8))
% 2.75/0.97 | ((sk_c8) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl123])).
% 2.75/0.97 thf(zip_derived_cl985, plain,
% 2.75/0.97 ((((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c8))
% 2.75/0.97 | ((sk_c8) = (inverse @ sk_c8))
% 2.75/0.97 | ((sk_c8) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl327, zip_derived_cl880])).
% 2.75/0.97 thf(zip_derived_cl991, plain,
% 2.75/0.97 ((((sk_c8) = (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl985])).
% 2.75/0.97 thf(zip_derived_cl1182, plain,
% 2.75/0.97 ((((identity) = (multiply @ sk_c8 @ sk_c8))
% 2.75/0.97 | ((multiply @ sk_c8 @ sk_c8) = (identity))
% 2.75/0.97 | ((sk_c8) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1124, zip_derived_cl991])).
% 2.75/0.97 thf(zip_derived_cl1196, plain,
% 2.75/0.97 ((((sk_c8) = (inverse @ sk_c8))
% 2.75/0.97 | ((identity) = (multiply @ sk_c8 @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl1182])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl1230, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c8) = (identity))
% 2.75/0.97 | ((identity) = (multiply @ sk_c8 @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1196, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl1247, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl1230])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl1268, plain,
% 2.75/0.97 (((sk_c8) = (multiply @ (inverse @ sk_c8) @ identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1247, zip_derived_cl123])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1247, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl1230])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1353, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.75/0.97 (((identity) != (sk_c8))
% 2.75/0.97 | ((multiply @ X1 @ X0) != (sk_c8))
% 2.75/0.97 | ((inverse @ X1) != (X0))
% 2.75/0.97 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 2.75/0.97 | ((inverse @ X2) != (sk_c8))
% 2.75/0.97 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c8 @ X3) != (sk_c8))
% 2.75/0.97 | ((multiply @ X4 @ sk_c8) != (X3))
% 2.75/0.97 | ((inverse @ X4) != (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl384, zip_derived_cl1305, zip_derived_cl1305,
% 2.75/0.97 zip_derived_cl1247, zip_derived_cl1305, zip_derived_cl1305,
% 2.75/0.97 zip_derived_cl1305, zip_derived_cl1305])).
% 2.75/0.97 thf(zip_derived_cl1354, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.75/0.97 (((identity) != (sk_c8))
% 2.75/0.97 | ((multiply @ X1 @ X0) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (X0))
% 2.75/0.97 | ((multiply @ X0 @ identity) != (identity))
% 2.75/0.97 | ((inverse @ X2) != (identity))
% 2.75/0.97 | ((multiply @ X2 @ identity) != (identity))
% 2.75/0.97 | ((multiply @ identity @ X3) != (identity))
% 2.75/0.97 | ((multiply @ X4 @ identity) != (X3))
% 2.75/0.97 | ((inverse @ X4) != (identity)))),
% 2.75/0.97 inference('local_rewriting', [status(thm)], [zip_derived_cl1353])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl0, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl1355, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.75/0.97 (((identity) != (sk_c8))
% 2.75/0.97 | ((multiply @ X1 @ X0) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (X0))
% 2.75/0.97 | ((X0) != (identity))
% 2.75/0.97 | ((inverse @ X2) != (identity))
% 2.75/0.97 | ((X2) != (identity))
% 2.75/0.97 | ((X3) != (identity))
% 2.75/0.97 | ((X4) != (X3))
% 2.75/0.97 | ((inverse @ X4) != (identity)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl1354, zip_derived_cl316, zip_derived_cl316,
% 2.75/0.97 zip_derived_cl0, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1387, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.75/0.97 (((inverse @ X0) != (identity))
% 2.75/0.97 | ((X0) != (identity))
% 2.75/0.97 | ((X1) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (identity))
% 2.75/0.97 | ((X2) != (identity))
% 2.75/0.97 | ((inverse @ X3) != (X2))
% 2.75/0.97 | ((multiply @ X3 @ X2) != (identity))
% 2.75/0.97 | ((identity) != (sk_c8)))),
% 2.75/0.97 inference('eq_res', [status(thm)], [zip_derived_cl1355])).
% 2.75/0.97 thf(prove_this_2, conjecture,
% 2.75/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_14, negated_conjecture,
% 2.75/0.97 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 2.75/0.97 thf(zip_derived_cl4, plain,
% 2.75/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_14])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl33, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl133, plain,
% 2.75/0.97 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl123])).
% 2.75/0.97 thf(prove_this_3, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_15, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 2.75/0.97 thf(zip_derived_cl5, plain,
% 2.75/0.97 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_15])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl49, plain,
% 2.75/0.97 ((((multiply @ sk_c4 @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl159, plain,
% 2.75/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @
% 2.75/0.97 (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl49])).
% 2.75/0.97 thf(zip_derived_cl2, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.75/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.75/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.75/0.97 inference('cnf', [status(esa)], [associativity])).
% 2.75/0.97 thf(zip_derived_cl0, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.75/0.97 thf(zip_derived_cl163, plain,
% 2.75/0.97 ((((multiply @ (inverse @ sk_c8) @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c1) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl159, zip_derived_cl2, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl164, plain,
% 2.75/0.97 ((((inverse @ sk_c1) = (sk_c8))
% 2.75/0.97 | ((multiply @ (inverse @ sk_c8) @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 2.75/0.97 thf(zip_derived_cl334, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl131])).
% 2.75/0.97 thf(zip_derived_cl646, plain,
% 2.75/0.97 ((((sk_c1) = (inverse @ sk_c8))
% 2.75/0.97 | ((multiply @ (inverse @ sk_c8) @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl334])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1247, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl1230])).
% 2.75/0.97 thf(zip_derived_cl1371, plain,
% 2.75/0.97 ((((sk_c1) = (sk_c8)) | ((identity) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl646, zip_derived_cl1305, zip_derived_cl1305,
% 2.75/0.97 zip_derived_cl1305, zip_derived_cl1247])).
% 2.75/0.97 thf(prove_this_17, conjecture,
% 2.75/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 2.75/0.97 thf(zf_stmt_16, negated_conjecture,
% 2.75/0.97 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 2.75/0.97 thf(zip_derived_cl19, plain,
% 2.75/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c3)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_16])).
% 2.75/0.97 thf(prove_this_12, conjecture,
% 2.75/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 2.75/0.97 thf(zf_stmt_17, negated_conjecture,
% 2.75/0.97 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 2.75/0.97 thf(zip_derived_cl14, plain,
% 2.75/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_17])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl51, plain,
% 2.75/0.97 ((((inverse @ sk_c4) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c2 @ sk_c3) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl52, plain,
% 2.75/0.97 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (inverse @ sk_c8))
% 2.75/0.97 | ((inverse @ sk_c4) = (sk_c8))
% 2.75/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl51])).
% 2.75/0.97 thf(zip_derived_cl57, plain,
% 2.75/0.97 ((((inverse @ sk_c4) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl52])).
% 2.75/0.97 thf(zip_derived_cl339, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl385, plain,
% 2.75/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl339])).
% 2.75/0.97 thf(zip_derived_cl339, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl401, plain,
% 2.75/0.97 ((((multiply @ sk_c4 @ sk_c8) = (identity))
% 2.75/0.97 | ((identity) = (inverse @ sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl385, zip_derived_cl339])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1362, plain,
% 2.75/0.97 ((((multiply @ sk_c4 @ sk_c8) = (identity)) | ((identity) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl401, zip_derived_cl1305])).
% 2.75/0.97 thf(prove_this_8, conjecture,
% 2.75/0.97 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 2.75/0.97 thf(zf_stmt_18, negated_conjecture,
% 2.75/0.97 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 2.75/0.97 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 2.75/0.97 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 2.75/0.97 thf(zip_derived_cl10, plain,
% 2.75/0.97 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_18])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl3, plain, (((inverse @ sk_c8) = (sk_c7))),
% 2.75/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.75/0.97 thf(zip_derived_cl86, plain,
% 2.75/0.97 ((((multiply @ sk_c4 @ (inverse @ sk_c8)) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c8)) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl10, zip_derived_cl3, zip_derived_cl3])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1305, plain, (((sk_c8) = (inverse @ sk_c8))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl1329, plain,
% 2.75/0.97 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ sk_c8) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl86, zip_derived_cl1305, zip_derived_cl1305])).
% 2.75/0.97 thf(zip_derived_cl1967, plain,
% 2.75/0.97 ((((identity) = (sk_c8))
% 2.75/0.97 | ((identity) = (sk_c8))
% 2.75/0.97 | ((multiply @ sk_c1 @ sk_c8) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1362, zip_derived_cl1329])).
% 2.75/0.97 thf(zip_derived_cl1971, plain,
% 2.75/0.97 ((((multiply @ sk_c1 @ sk_c8) = (sk_c8)) | ((identity) = (sk_c8)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl1967])).
% 2.75/0.97 thf(zip_derived_cl1982, plain,
% 2.75/0.97 ((((multiply @ sk_c8 @ sk_c8) = (sk_c8))
% 2.75/0.97 | ((identity) = (sk_c8))
% 2.75/0.97 | ((identity) = (sk_c8)))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl1371, zip_derived_cl1971])).
% 2.75/0.97 thf(zip_derived_cl1247, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl1230])).
% 2.75/0.97 thf(zip_derived_cl1983, plain,
% 2.75/0.97 ((((identity) = (sk_c8))
% 2.75/0.97 | ((identity) = (sk_c8))
% 2.75/0.97 | ((identity) = (sk_c8)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl1982, zip_derived_cl1247])).
% 2.75/0.97 thf(zip_derived_cl1984, plain, (((identity) = (sk_c8))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl1983])).
% 2.75/0.97 thf(zip_derived_cl2035, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.75/0.97 (((inverse @ X0) != (identity))
% 2.75/0.97 | ((X0) != (identity))
% 2.75/0.97 | ((X1) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (identity))
% 2.75/0.97 | ((X2) != (identity))
% 2.75/0.97 | ((inverse @ X3) != (X2))
% 2.75/0.97 | ((multiply @ X3 @ X2) != (identity))
% 2.75/0.97 | ((identity) != (identity)))),
% 2.75/0.97 inference('demod', [status(thm)],
% 2.75/0.97 [zip_derived_cl1387, zip_derived_cl1984])).
% 2.75/0.97 thf(zip_derived_cl2036, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.75/0.97 (((multiply @ X3 @ X2) != (identity))
% 2.75/0.97 | ((inverse @ X3) != (X2))
% 2.75/0.97 | ((X2) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (identity))
% 2.75/0.97 | ((X1) != (identity))
% 2.75/0.97 | ((X0) != (identity))
% 2.75/0.97 | ((inverse @ X0) != (identity)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl2035])).
% 2.75/0.97 thf(zip_derived_cl2037, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.75/0.97 (((inverse @ X0) != (identity))
% 2.75/0.97 | ((X0) != (identity))
% 2.75/0.97 | ((X1) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (identity))
% 2.75/0.97 | ((inverse @ X2) != (identity))
% 2.75/0.97 | ((multiply @ X2 @ identity) != (identity)))),
% 2.75/0.97 inference('eq_res', [status(thm)], [zip_derived_cl2036])).
% 2.75/0.97 thf(zip_derived_cl316, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 2.75/0.97 thf(zip_derived_cl2038, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.75/0.97 (((inverse @ X0) != (identity))
% 2.75/0.97 | ((X0) != (identity))
% 2.75/0.97 | ((X1) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (identity))
% 2.75/0.97 | ((inverse @ X2) != (identity))
% 2.75/0.97 | ((X2) != (identity)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl2037, zip_derived_cl316])).
% 2.75/0.97 thf(zip_derived_cl2039, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 (((X0) != (identity))
% 2.75/0.97 | ((inverse @ X0) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (identity))
% 2.75/0.97 | ((X1) != (identity))
% 2.75/0.97 | ((inverse @ identity) != (identity)))),
% 2.75/0.97 inference('eq_res', [status(thm)], [zip_derived_cl2038])).
% 2.75/0.97 thf(zip_derived_cl0, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl130, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl123])).
% 2.75/0.97 thf(zip_derived_cl123, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 2.75/0.97 thf(zip_derived_cl154, plain,
% 2.75/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl123])).
% 2.75/0.97 thf(zip_derived_cl1, plain,
% 2.75/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.75/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.75/0.97 thf(zip_derived_cl303, plain, (((inverse @ identity) = (identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl2040, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 (((X0) != (identity))
% 2.75/0.97 | ((inverse @ X0) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (identity))
% 2.75/0.97 | ((X1) != (identity))
% 2.75/0.97 | ((identity) != (identity)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl2039, zip_derived_cl303])).
% 2.75/0.97 thf(zip_derived_cl2041, plain,
% 2.75/0.97 (![X0 : $i, X1 : $i]:
% 2.75/0.97 (((X1) != (identity))
% 2.75/0.97 | ((inverse @ X1) != (identity))
% 2.75/0.97 | ((inverse @ X0) != (identity))
% 2.75/0.97 | ((X0) != (identity)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl2040])).
% 2.75/0.97 thf(zip_derived_cl2042, plain,
% 2.75/0.97 (![X0 : $i]:
% 2.75/0.97 (((X0) != (identity))
% 2.75/0.97 | ((inverse @ X0) != (identity))
% 2.75/0.97 | ((inverse @ identity) != (identity)))),
% 2.75/0.97 inference('eq_res', [status(thm)], [zip_derived_cl2041])).
% 2.75/0.97 thf(zip_derived_cl303, plain, (((inverse @ identity) = (identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl2043, plain,
% 2.75/0.97 (![X0 : $i]:
% 2.75/0.97 (((X0) != (identity))
% 2.75/0.97 | ((inverse @ X0) != (identity))
% 2.75/0.97 | ((identity) != (identity)))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl2042, zip_derived_cl303])).
% 2.75/0.97 thf(zip_derived_cl2044, plain,
% 2.75/0.97 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl2043])).
% 2.75/0.97 thf(zip_derived_cl2045, plain, (((inverse @ identity) != (identity))),
% 2.75/0.97 inference('eq_res', [status(thm)], [zip_derived_cl2044])).
% 2.75/0.97 thf(zip_derived_cl303, plain, (((inverse @ identity) = (identity))),
% 2.75/0.97 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl1])).
% 2.75/0.97 thf(zip_derived_cl2046, plain, (((identity) != (identity))),
% 2.75/0.97 inference('demod', [status(thm)], [zip_derived_cl2045, zip_derived_cl303])).
% 2.75/0.97 thf(zip_derived_cl2047, plain, ($false),
% 2.75/0.97 inference('simplify', [status(thm)], [zip_derived_cl2046])).
% 2.75/0.97
% 2.75/0.97 % SZS output end Refutation
% 2.75/0.97
% 2.75/0.97
% 2.75/0.97 % Terminating...
% 3.24/1.05 % Runner terminated.
% 3.24/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------