TSTP Solution File: GRP376-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YAqQchhzY9 true
% Computer : n025.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 01:51:25 EDT 2023
% Result : Unsatisfiable 2.20s 0.89s
% Output : Refutation 2.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YAqQchhzY9 true
% 0.15/0.34 % Computer : n025.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Aug 28 21:42:25 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Running portfolio for 300 s
% 0.19/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.20/0.89 % Solved by fo/fo7.sh.
% 2.20/0.89 % done 267 iterations in 0.134s
% 2.20/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.20/0.89 % SZS output start Refutation
% 2.20/0.89 thf(sk_c2_type, type, sk_c2: $i).
% 2.20/0.89 thf(sk_c5_type, type, sk_c5: $i).
% 2.20/0.89 thf(sk_c1_type, type, sk_c1: $i).
% 2.20/0.89 thf(sk_c4_type, type, sk_c4: $i).
% 2.20/0.89 thf(identity_type, type, identity: $i).
% 2.20/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.20/0.89 thf(sk_c6_type, type, sk_c6: $i).
% 2.20/0.89 thf(inverse_type, type, inverse: $i > $i).
% 2.20/0.89 thf(sk_c3_type, type, sk_c3: $i).
% 2.20/0.89 thf(sk_c7_type, type, sk_c7: $i).
% 2.20/0.89 thf(prove_this_31, conjecture,
% 2.20/0.89 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 2.20/0.89 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 2.20/0.89 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 2.20/0.89 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 2.20/0.89 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 2.20/0.89 ( ( inverse @ sk_c7 ) != ( sk_c6 ) ) ))).
% 2.20/0.89 thf(zf_stmt_0, negated_conjecture,
% 2.20/0.89 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 2.20/0.89 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 2.20/0.89 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 2.20/0.89 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 2.20/0.89 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 2.20/0.89 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 2.20/0.89 ( ( inverse @ sk_c7 ) != ( sk_c6 ) )),
% 2.20/0.89 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 2.20/0.89 thf(zip_derived_cl33, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.89 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 2.20/0.89 | ((inverse @ X0) != (sk_c6))
% 2.20/0.89 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 2.20/0.89 | ((inverse @ X1) != (sk_c7))
% 2.20/0.89 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 2.20/0.89 | ((inverse @ X2) != (sk_c5))
% 2.20/0.89 | ((multiply @ X2 @ sk_c5) != (sk_c7))
% 2.20/0.89 | ((multiply @ sk_c5 @ sk_c6) != (sk_c7))
% 2.20/0.89 | ((inverse @ X3) != (sk_c7))
% 2.20/0.89 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 2.20/0.89 | ((inverse @ sk_c7) != (sk_c6)))),
% 2.20/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.20/0.89 thf(zip_derived_cl34, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.89 (((multiply @ X0 @ (multiply @ (inverse @ sk_c7) @ sk_c7))
% 2.20/0.89 != (inverse @ sk_c7))
% 2.20/0.89 | ((inverse @ X0) != (inverse @ sk_c7))
% 2.20/0.89 | ((multiply @ X1 @ (inverse @ sk_c7)) != (sk_c7))
% 2.20/0.89 | ((inverse @ X1) != (sk_c7))
% 2.20/0.89 | ((multiply @ (inverse @ sk_c7) @ sk_c7) != (sk_c5))
% 2.20/0.89 | ((inverse @ X2) != (multiply @ (inverse @ sk_c7) @ sk_c7))
% 2.20/0.89 | ((multiply @ X2 @ (multiply @ (inverse @ sk_c7) @ sk_c7))
% 2.20/0.89 != (sk_c7))
% 2.20/0.89 | ((multiply @ (multiply @ (inverse @ sk_c7) @ sk_c7) @
% 2.20/0.89 (inverse @ sk_c7)) != (sk_c7))
% 2.20/0.89 | ((inverse @ X3) != (sk_c7))
% 2.20/0.89 | ((multiply @ X3 @ sk_c7) != (inverse @ sk_c7))
% 2.20/0.89 | ((inverse @ sk_c7) != (sk_c6)))),
% 2.20/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 2.20/0.89 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 2.20/0.89 thf(zip_derived_cl0, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.89 thf(zip_derived_cl35, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.89 (((multiply @ X0 @ identity) != (inverse @ sk_c7))
% 2.20/0.89 | ((inverse @ X0) != (inverse @ sk_c7))
% 2.20/0.89 | ((multiply @ X1 @ (inverse @ sk_c7)) != (sk_c7))
% 2.20/0.89 | ((inverse @ X1) != (sk_c7))
% 2.20/0.89 | ((identity) != (sk_c5))
% 2.20/0.89 | ((inverse @ X2) != (identity))
% 2.20/0.89 | ((multiply @ X2 @ identity) != (sk_c7))
% 2.20/0.89 | ((inverse @ sk_c7) != (sk_c7))
% 2.20/0.89 | ((inverse @ X3) != (sk_c7))
% 2.20/0.89 | ((multiply @ X3 @ sk_c7) != (inverse @ sk_c7))
% 2.20/0.89 | ((inverse @ sk_c7) != (sk_c6)))),
% 2.20/0.89 inference('demod', [status(thm)],
% 2.20/0.89 [zip_derived_cl34, zip_derived_cl1, zip_derived_cl1,
% 2.20/0.89 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 2.20/0.89 zip_derived_cl0])).
% 2.20/0.89 thf(zip_derived_cl36, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.89 (((multiply @ X0 @ identity) != (sk_c7))
% 2.20/0.89 | ((inverse @ X0) != (sk_c7))
% 2.20/0.89 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 2.20/0.89 | ((inverse @ X1) != (sk_c7))
% 2.20/0.89 | ((identity) != (sk_c5))
% 2.20/0.89 | ((inverse @ X2) != (identity))
% 2.20/0.89 | ((multiply @ X2 @ identity) != (sk_c7))
% 2.20/0.89 | ((inverse @ sk_c7) != (sk_c7))
% 2.20/0.89 | ((inverse @ X3) != (sk_c7))
% 2.20/0.89 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 2.20/0.89 | ((sk_c7) != (sk_c6)))),
% 2.20/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl35])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(associativity, axiom,
% 2.20/0.89 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 2.20/0.89 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 2.20/0.89 thf(zip_derived_cl2, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.20/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.20/0.89 inference('cnf', [status(esa)], [associativity])).
% 2.20/0.89 thf(zip_derived_cl65, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i]:
% 2.20/0.89 ((multiply @ identity @ X0)
% 2.20/0.89 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 2.20/0.89 thf(zip_derived_cl0, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.89 thf(zip_derived_cl84, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i]:
% 2.20/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.89 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.89 thf(zip_derived_cl98, plain,
% 2.20/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 2.20/0.89 thf(zip_derived_cl84, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i]:
% 2.20/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.89 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.89 thf(zip_derived_cl84, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i]:
% 2.20/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.89 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.89 thf(zip_derived_cl95, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i]:
% 2.20/0.89 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl84])).
% 2.20/0.89 thf(zip_derived_cl669, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 2.20/0.89 thf(zip_derived_cl669, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 2.20/0.89 thf(zip_derived_cl691, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.89 (((X0) != (sk_c7))
% 2.20/0.89 | ((inverse @ X0) != (sk_c7))
% 2.20/0.89 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 2.20/0.89 | ((inverse @ X1) != (sk_c7))
% 2.20/0.89 | ((identity) != (sk_c5))
% 2.20/0.89 | ((inverse @ X2) != (identity))
% 2.20/0.89 | ((X2) != (sk_c7))
% 2.20/0.89 | ((inverse @ sk_c7) != (sk_c7))
% 2.20/0.89 | ((inverse @ X3) != (sk_c7))
% 2.20/0.89 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 2.20/0.89 | ((sk_c7) != (sk_c6)))),
% 2.20/0.89 inference('demod', [status(thm)],
% 2.20/0.89 [zip_derived_cl36, zip_derived_cl669, zip_derived_cl669])).
% 2.20/0.89 thf(prove_this_27, conjecture,
% 2.20/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 2.20/0.89 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 2.20/0.89 thf(zf_stmt_1, negated_conjecture,
% 2.20/0.89 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 2.20/0.89 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 2.20/0.89 thf(zip_derived_cl29, plain,
% 2.20/0.89 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c5)))),
% 2.20/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl43, plain,
% 2.20/0.89 ((((multiply @ sk_c5 @ sk_c2) = (identity))
% 2.20/0.89 | ((inverse @ sk_c3) = (sk_c7)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 2.20/0.89 thf(zip_derived_cl84, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i]:
% 2.20/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.89 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.89 thf(zip_derived_cl107, plain,
% 2.20/0.89 ((((sk_c2) = (multiply @ (inverse @ sk_c5) @ identity))
% 2.20/0.89 | ((inverse @ sk_c3) = (sk_c7)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl84])).
% 2.20/0.89 thf(prove_this_22, conjecture,
% 2.20/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 2.20/0.89 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 2.20/0.89 thf(zf_stmt_2, negated_conjecture,
% 2.20/0.89 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 2.20/0.89 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 2.20/0.89 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 2.20/0.89 thf(zip_derived_cl24, plain,
% 2.20/0.89 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 2.20/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.20/0.89 thf(zip_derived_cl166, plain,
% 2.20/0.89 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 2.20/0.89 = (sk_c7))
% 2.20/0.89 | ((inverse @ sk_c3) = (sk_c7))
% 2.20/0.89 | ((inverse @ sk_c3) = (sk_c7)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl24])).
% 2.20/0.89 thf(zip_derived_cl2, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.20/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.20/0.89 inference('cnf', [status(esa)], [associativity])).
% 2.20/0.89 thf(zip_derived_cl0, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl177, plain,
% 2.20/0.89 ((((identity) = (sk_c7))
% 2.20/0.89 | ((inverse @ sk_c3) = (sk_c7))
% 2.20/0.89 | ((inverse @ sk_c3) = (sk_c7)))),
% 2.20/0.89 inference('demod', [status(thm)],
% 2.20/0.89 [zip_derived_cl166, zip_derived_cl2, zip_derived_cl0,
% 2.20/0.89 zip_derived_cl1])).
% 2.20/0.89 thf(zip_derived_cl178, plain,
% 2.20/0.89 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 2.20/0.89 inference('simplify', [status(thm)], [zip_derived_cl177])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl203, plain,
% 2.20/0.89 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 2.20/0.89 thf(zip_derived_cl84, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i]:
% 2.20/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.89 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.89 thf(zip_derived_cl332, plain,
% 2.20/0.89 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.20/0.89 | ((identity) = (sk_c7)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl84])).
% 2.20/0.89 thf(zip_derived_cl669, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 2.20/0.89 thf(zip_derived_cl703, plain,
% 2.20/0.89 ((((sk_c3) = (inverse @ sk_c7)) | ((identity) = (sk_c7)))),
% 2.20/0.89 inference('demod', [status(thm)], [zip_derived_cl332, zip_derived_cl669])).
% 2.20/0.89 thf(prove_this_14, conjecture,
% 2.20/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.20/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.20/0.89 thf(zf_stmt_3, negated_conjecture,
% 2.20/0.89 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.20/0.89 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 2.20/0.89 thf(zip_derived_cl16, plain,
% 2.20/0.89 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.20/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.20/0.89 thf(zip_derived_cl1, plain,
% 2.20/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.89 thf(zip_derived_cl41, plain,
% 2.20/0.89 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 2.20/0.89 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 2.20/0.89 thf(zip_derived_cl84, plain,
% 2.20/0.89 (![X0 : $i, X1 : $i]:
% 2.20/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.89 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.89 thf(zip_derived_cl103, plain,
% 2.20/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.20/0.89 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl84])).
% 2.20/0.89 thf(prove_this_9, conjecture,
% 2.20/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.20/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 2.20/0.89 thf(zf_stmt_4, negated_conjecture,
% 2.20/0.89 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.20/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 2.20/0.89 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 2.20/0.89 thf(zip_derived_cl11, plain,
% 2.20/0.89 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 2.20/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.20/0.89 thf(zip_derived_cl147, plain,
% 2.20/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 2.20/0.89 = (sk_c6))
% 2.20/0.89 | ((inverse @ sk_c4) = (sk_c6))
% 2.20/0.89 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.20/0.89 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl11])).
% 2.20/0.90 thf(zip_derived_cl2, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.20/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.20/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.20/0.90 thf(zip_derived_cl0, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl160, plain,
% 2.20/0.90 ((((identity) = (sk_c6))
% 2.20/0.90 | ((inverse @ sk_c4) = (sk_c6))
% 2.20/0.90 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl147, zip_derived_cl2, zip_derived_cl0,
% 2.20/0.90 zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl161, plain,
% 2.20/0.90 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl160])).
% 2.20/0.90 thf(prove_this_15, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.20/0.90 thf(zf_stmt_5, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 2.20/0.90 thf(zip_derived_cl17, plain,
% 2.20/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl46, plain,
% 2.20/0.90 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl368, plain,
% 2.20/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl84])).
% 2.20/0.90 thf(prove_this_10, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 2.20/0.90 thf(zf_stmt_6, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 2.20/0.90 thf(zip_derived_cl12, plain,
% 2.20/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.20/0.90 thf(zip_derived_cl377, plain,
% 2.20/0.90 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 2.20/0.90 = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl368, zip_derived_cl12])).
% 2.20/0.90 thf(zip_derived_cl2, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.20/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.20/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.20/0.90 thf(zip_derived_cl0, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl391, plain,
% 2.20/0.90 ((((identity) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl377, zip_derived_cl2, zip_derived_cl0,
% 2.20/0.90 zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl392, plain,
% 2.20/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl391])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl396, plain,
% 2.20/0.90 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 2.20/0.90 | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl392, zip_derived_cl84])).
% 2.20/0.90 thf(zip_derived_cl448, plain,
% 2.20/0.90 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 2.20/0.90 | ((identity) = (sk_c6))
% 2.20/0.90 | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl396])).
% 2.20/0.90 thf(zip_derived_cl453, plain,
% 2.20/0.90 ((((identity) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl448])).
% 2.20/0.90 thf(prove_this_11, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.20/0.90 thf(zf_stmt_7, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 2.20/0.90 thf(zip_derived_cl13, plain,
% 2.20/0.90 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl39, plain,
% 2.20/0.90 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 2.20/0.90 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl101, plain,
% 2.20/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.20/0.90 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl84])).
% 2.20/0.90 thf(prove_this_6, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 2.20/0.90 thf(zf_stmt_8, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 2.20/0.90 thf(zip_derived_cl8, plain,
% 2.20/0.90 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.20/0.90 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 2.20/0.90 thf(zip_derived_cl226, plain,
% 2.20/0.90 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 2.20/0.90 = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.20/0.90 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl8])).
% 2.20/0.90 thf(zip_derived_cl2, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.20/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.20/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.20/0.90 thf(zip_derived_cl0, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl239, plain,
% 2.20/0.90 ((((identity) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.20/0.90 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl226, zip_derived_cl2, zip_derived_cl0,
% 2.20/0.90 zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl240, plain,
% 2.20/0.90 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl239])).
% 2.20/0.90 thf(zip_derived_cl466, plain,
% 2.20/0.90 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 2.20/0.90 | ((identity) = (sk_c6))
% 2.20/0.90 | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl240])).
% 2.20/0.90 thf(zip_derived_cl470, plain,
% 2.20/0.90 ((((identity) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl466])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl473, plain,
% 2.20/0.90 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 2.20/0.90 | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl84])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl480, plain,
% 2.20/0.90 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl473, zip_derived_cl84])).
% 2.20/0.90 thf(prove_this_13, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.20/0.90 thf(zf_stmt_9, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 2.20/0.90 thf(zip_derived_cl15, plain,
% 2.20/0.90 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.20/0.90 thf(zip_derived_cl669, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 2.20/0.90 thf(zip_derived_cl98, plain,
% 2.20/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 2.20/0.90 thf(zip_derived_cl716, plain,
% 2.20/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl669, zip_derived_cl98])).
% 2.20/0.90 thf(zip_derived_cl737, plain,
% 2.20/0.90 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl716])).
% 2.20/0.90 thf(prove_this_8, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 2.20/0.90 thf(zf_stmt_10, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 2.20/0.90 thf(zip_derived_cl10, plain,
% 2.20/0.90 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 2.20/0.90 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 2.20/0.90 thf(zip_derived_cl1297, plain,
% 2.20/0.90 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 2.20/0.90 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl10])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl1313, plain,
% 2.20/0.90 ((((identity) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 2.20/0.90 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl1297, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl1314, plain,
% 2.20/0.90 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1313])).
% 2.20/0.90 thf(zip_derived_cl1515, plain,
% 2.20/0.90 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 2.20/0.90 | ((identity) = (sk_c6))
% 2.20/0.90 | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl1314])).
% 2.20/0.90 thf(zip_derived_cl1522, plain,
% 2.20/0.90 ((((identity) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c7)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1515])).
% 2.20/0.90 thf(zip_derived_cl1543, plain,
% 2.20/0.90 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 2.20/0.90 | ((identity) = (sk_c7))
% 2.20/0.90 | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl703, zip_derived_cl1522])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl1547, plain,
% 2.20/0.90 ((((identity) = (sk_c7))
% 2.20/0.90 | ((identity) = (sk_c7))
% 2.20/0.90 | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl1543, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl1548, plain,
% 2.20/0.90 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1547])).
% 2.20/0.90 thf(zip_derived_cl480, plain,
% 2.20/0.90 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl473, zip_derived_cl84])).
% 2.20/0.90 thf(zip_derived_cl490, plain,
% 2.20/0.90 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 2.20/0.90 inference('eq_fact', [status(thm)], [zip_derived_cl480])).
% 2.20/0.90 thf(zip_derived_cl1554, plain, (((identity) = (sk_c6))),
% 2.20/0.90 inference('clc', [status(thm)], [zip_derived_cl1548, zip_derived_cl490])).
% 2.20/0.90 thf(zip_derived_cl1596, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.90 (((X0) != (sk_c7))
% 2.20/0.90 | ((inverse @ X0) != (sk_c7))
% 2.20/0.90 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 2.20/0.90 | ((inverse @ X1) != (sk_c7))
% 2.20/0.90 | ((identity) != (sk_c5))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((X2) != (sk_c7))
% 2.20/0.90 | ((inverse @ sk_c7) != (sk_c7))
% 2.20/0.90 | ((inverse @ X3) != (sk_c7))
% 2.20/0.90 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 2.20/0.90 | ((sk_c7) != (identity)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl691, zip_derived_cl1554])).
% 2.20/0.90 thf(zip_derived_cl1597, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((multiply @ X1 @ identity) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((identity) != (sk_c5))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((inverse @ identity) != (identity))
% 2.20/0.90 | ((inverse @ X3) != (identity))
% 2.20/0.90 | ((multiply @ X3 @ identity) != (identity))
% 2.20/0.90 | ((sk_c7) != (identity)))),
% 2.20/0.90 inference('local_rewriting', [status(thm)], [zip_derived_cl1596])).
% 2.20/0.90 thf(zip_derived_cl669, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 2.20/0.90 thf(zip_derived_cl0, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl97, plain,
% 2.20/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl84])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl133, plain,
% 2.20/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl84])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl554, plain, (((inverse @ identity) = (identity))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl669, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 2.20/0.90 thf(zip_derived_cl1598, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((identity) != (sk_c5))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((identity) != (identity))
% 2.20/0.90 | ((inverse @ X3) != (identity))
% 2.20/0.90 | ((X3) != (identity))
% 2.20/0.90 | ((sk_c7) != (identity)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl1597, zip_derived_cl669, zip_derived_cl554,
% 2.20/0.90 zip_derived_cl669])).
% 2.20/0.90 thf(zip_derived_cl1599, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.90 (((sk_c7) != (identity))
% 2.20/0.90 | ((X3) != (identity))
% 2.20/0.90 | ((inverse @ X3) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((identity) != (sk_c5))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X0) != (identity)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1598])).
% 2.20/0.90 thf(prove_this_16, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 2.20/0.90 thf(zf_stmt_11, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 2.20/0.90 thf(zip_derived_cl18, plain,
% 2.20/0.90 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 2.20/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_11])).
% 2.20/0.90 thf(zip_derived_cl1554, plain, (((identity) = (sk_c6))),
% 2.20/0.90 inference('clc', [status(thm)], [zip_derived_cl1548, zip_derived_cl490])).
% 2.20/0.90 thf(zip_derived_cl0, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.90 thf(zip_derived_cl1554, plain, (((identity) = (sk_c6))),
% 2.20/0.90 inference('clc', [status(thm)], [zip_derived_cl1548, zip_derived_cl490])).
% 2.20/0.90 thf(zip_derived_cl669, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 2.20/0.90 thf(zip_derived_cl1569, plain, ((((sk_c7) = (sk_c5)) | ((sk_c5) = (sk_c7)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl18, zip_derived_cl1554, zip_derived_cl0,
% 2.20/0.90 zip_derived_cl1554, zip_derived_cl669])).
% 2.20/0.90 thf(zip_derived_cl1570, plain, (((sk_c7) = (sk_c5))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1569])).
% 2.20/0.90 thf(zip_derived_cl1643, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.90 (((sk_c7) != (identity))
% 2.20/0.90 | ((X3) != (identity))
% 2.20/0.90 | ((inverse @ X3) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((identity) != (sk_c7))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X0) != (identity)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl1599, zip_derived_cl1570])).
% 2.20/0.90 thf(zip_derived_cl1644, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((inverse @ X3) != (identity))
% 2.20/0.90 | ((X3) != (identity))
% 2.20/0.90 | ((sk_c7) != (identity)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1643])).
% 2.20/0.90 thf(prove_this_29, conjecture,
% 2.20/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 2.20/0.90 thf(zf_stmt_12, negated_conjecture,
% 2.20/0.90 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 2.20/0.90 thf(zip_derived_cl31, plain,
% 2.20/0.90 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c5)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_12])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl44, plain,
% 2.20/0.90 ((((multiply @ sk_c5 @ sk_c2) = (identity))
% 2.20/0.90 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl108, plain,
% 2.20/0.90 ((((sk_c2) = (multiply @ (inverse @ sk_c5) @ identity))
% 2.20/0.90 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl84])).
% 2.20/0.90 thf(prove_this_24, conjecture,
% 2.20/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 2.20/0.90 thf(zf_stmt_13, negated_conjecture,
% 2.20/0.90 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 2.20/0.90 thf(zip_derived_cl26, plain,
% 2.20/0.90 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_13])).
% 2.20/0.90 thf(zip_derived_cl184, plain,
% 2.20/0.90 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 2.20/0.90 = (sk_c7))
% 2.20/0.90 | ((inverse @ sk_c4) = (sk_c6))
% 2.20/0.90 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl26])).
% 2.20/0.90 thf(zip_derived_cl2, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.20/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.20/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.20/0.90 thf(zip_derived_cl0, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl195, plain,
% 2.20/0.90 ((((identity) = (sk_c7))
% 2.20/0.90 | ((inverse @ sk_c4) = (sk_c6))
% 2.20/0.90 | ((inverse @ sk_c4) = (sk_c6)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl184, zip_derived_cl2, zip_derived_cl0,
% 2.20/0.90 zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl196, plain,
% 2.20/0.90 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c7)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl195])).
% 2.20/0.90 thf(prove_this_30, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 2.20/0.90 thf(zf_stmt_14, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 2.20/0.90 thf(zip_derived_cl32, plain,
% 2.20/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c5)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_14])).
% 2.20/0.90 thf(zip_derived_cl716, plain,
% 2.20/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl669, zip_derived_cl98])).
% 2.20/0.90 thf(zip_derived_cl744, plain,
% 2.20/0.90 ((((sk_c2) = (inverse @ sk_c5)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl716])).
% 2.20/0.90 thf(prove_this_25, conjecture,
% 2.20/0.90 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 2.20/0.90 thf(zf_stmt_15, negated_conjecture,
% 2.20/0.90 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 2.20/0.90 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 2.20/0.90 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 2.20/0.90 thf(zip_derived_cl27, plain,
% 2.20/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 2.20/0.90 inference('cnf', [status(esa)], [zf_stmt_15])).
% 2.20/0.90 thf(zip_derived_cl1334, plain,
% 2.20/0.90 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c7))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl744, zip_derived_cl27])).
% 2.20/0.90 thf(zip_derived_cl1, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.20/0.90 thf(zip_derived_cl1348, plain,
% 2.20/0.90 ((((identity) = (sk_c7))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 2.20/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl1334, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl1349, plain,
% 2.20/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1348])).
% 2.20/0.90 thf(zip_derived_cl84, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl1434, plain,
% 2.20/0.90 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 2.20/0.90 | ((identity) = (sk_c7)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl84])).
% 2.20/0.90 thf(zip_derived_cl1456, plain,
% 2.20/0.90 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 2.20/0.90 | ((identity) = (sk_c7))
% 2.20/0.90 | ((identity) = (sk_c7)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1434])).
% 2.20/0.90 thf(zip_derived_cl1463, plain,
% 2.20/0.90 ((((identity) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1456])).
% 2.20/0.90 thf(zip_derived_cl1554, plain, (((identity) = (sk_c6))),
% 2.20/0.90 inference('clc', [status(thm)], [zip_derived_cl1548, zip_derived_cl490])).
% 2.20/0.90 thf(zip_derived_cl1554, plain, (((identity) = (sk_c6))),
% 2.20/0.90 inference('clc', [status(thm)], [zip_derived_cl1548, zip_derived_cl490])).
% 2.20/0.90 thf(zip_derived_cl0, plain,
% 2.20/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.20/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.20/0.90 thf(zip_derived_cl1619, plain,
% 2.20/0.90 ((((identity) = (sk_c7)) | ((sk_c5) = (identity)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl1463, zip_derived_cl1554, zip_derived_cl1554,
% 2.20/0.90 zip_derived_cl0])).
% 2.20/0.90 thf(zip_derived_cl1570, plain, (((sk_c7) = (sk_c5))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1569])).
% 2.20/0.90 thf(zip_derived_cl1654, plain,
% 2.20/0.90 ((((sk_c7) = (identity)) | ((identity) = (sk_c7)))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl1619, zip_derived_cl1570])).
% 2.20/0.90 thf(zip_derived_cl1655, plain, (((sk_c7) = (identity))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 2.20/0.90 thf(zip_derived_cl1662, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((inverse @ X3) != (identity))
% 2.20/0.90 | ((X3) != (identity))
% 2.20/0.90 | ((identity) != (identity)))),
% 2.20/0.90 inference('demod', [status(thm)],
% 2.20/0.90 [zip_derived_cl1644, zip_derived_cl1655])).
% 2.20/0.90 thf(zip_derived_cl1663, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.20/0.90 (((X3) != (identity))
% 2.20/0.90 | ((inverse @ X3) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X0) != (identity)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1662])).
% 2.20/0.90 thf(zip_derived_cl1704, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((inverse @ identity) != (identity)))),
% 2.20/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1663])).
% 2.20/0.90 thf(zip_derived_cl554, plain, (((inverse @ identity) = (identity))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl1705, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((X2) != (identity))
% 2.20/0.90 | ((identity) != (identity)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl1704, zip_derived_cl554])).
% 2.20/0.90 thf(zip_derived_cl1706, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.20/0.90 (((X2) != (identity))
% 2.20/0.90 | ((inverse @ X2) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X0) != (identity)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1705])).
% 2.20/0.90 thf(zip_derived_cl1707, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((inverse @ identity) != (identity)))),
% 2.20/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1706])).
% 2.20/0.90 thf(zip_derived_cl554, plain, (((inverse @ identity) = (identity))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl1708, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X1) != (identity))
% 2.20/0.90 | ((identity) != (identity)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl1707, zip_derived_cl554])).
% 2.20/0.90 thf(zip_derived_cl1709, plain,
% 2.20/0.90 (![X0 : $i, X1 : $i]:
% 2.20/0.90 (((inverse @ X1) != (identity))
% 2.20/0.90 | ((X1) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((X0) != (identity)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1708])).
% 2.20/0.90 thf(zip_derived_cl1710, plain,
% 2.20/0.90 (![X0 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((inverse @ identity) != (identity)))),
% 2.20/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1709])).
% 2.20/0.90 thf(zip_derived_cl554, plain, (((inverse @ identity) = (identity))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl1711, plain,
% 2.20/0.90 (![X0 : $i]:
% 2.20/0.90 (((X0) != (identity))
% 2.20/0.90 | ((inverse @ X0) != (identity))
% 2.20/0.90 | ((identity) != (identity)))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl1710, zip_derived_cl554])).
% 2.20/0.90 thf(zip_derived_cl1712, plain,
% 2.20/0.90 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1711])).
% 2.20/0.90 thf(zip_derived_cl1713, plain, (((inverse @ identity) != (identity))),
% 2.20/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1712])).
% 2.20/0.90 thf(zip_derived_cl554, plain, (((inverse @ identity) = (identity))),
% 2.20/0.90 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 2.20/0.90 thf(zip_derived_cl1714, plain, (((identity) != (identity))),
% 2.20/0.90 inference('demod', [status(thm)], [zip_derived_cl1713, zip_derived_cl554])).
% 2.20/0.90 thf(zip_derived_cl1715, plain, ($false),
% 2.20/0.90 inference('simplify', [status(thm)], [zip_derived_cl1714])).
% 2.20/0.90
% 2.20/0.90 % SZS output end Refutation
% 2.20/0.90
% 2.20/0.90
% 2.20/0.90 % Terminating...
% 2.46/0.94 % Runner terminated.
% 2.46/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------