TSTP Solution File: GRP348-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP348-1 : 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.4uOvyESPFE true
% Computer : n013.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 01:51:18 EDT 2023
% Result : Unsatisfiable 0.57s 0.94s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP348-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4uOvyESPFE true
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:51:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.67 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.94 % Solved by fo/fo7.sh.
% 0.57/0.94 % done 386 iterations in 0.165s
% 0.57/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.94 % SZS output start Refutation
% 0.57/0.94 thf(sk_c4_type, type, sk_c4: $i).
% 0.57/0.94 thf(sk_c2_type, type, sk_c2: $i).
% 0.57/0.94 thf(sk_c1_type, type, sk_c1: $i).
% 0.57/0.94 thf(identity_type, type, identity: $i).
% 0.57/0.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.94 thf(sk_c6_type, type, sk_c6: $i).
% 0.57/0.94 thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.94 thf(sk_c3_type, type, sk_c3: $i).
% 0.57/0.94 thf(sk_c5_type, type, sk_c5: $i).
% 0.57/0.94 thf(prove_this_21, conjecture,
% 0.57/0.94 (~( ( ( multiply @ X1 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c4 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ sk_c4 ) != ( sk_c5 ) ) |
% 0.57/0.94 ( ( multiply @ X3 @ sk_c4 ) != ( sk_c5 ) ) |
% 0.57/0.94 ( ( inverse @ X3 ) != ( sk_c5 ) ) |
% 0.57/0.94 ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c4 ) ) ))).
% 0.57/0.94 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.94 (( ( multiply @ X1 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c4 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ sk_c4 ) != ( sk_c5 ) ) |
% 0.57/0.94 ( ( multiply @ X3 @ sk_c4 ) != ( sk_c5 ) ) |
% 0.57/0.94 ( ( inverse @ X3 ) != ( sk_c5 ) ) |
% 0.57/0.94 ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c4 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.57/0.94 thf(zip_derived_cl23, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ X0) != (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c4 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ sk_c4) != (sk_c5))
% 0.57/0.94 | ((multiply @ X1 @ sk_c4) != (sk_c5))
% 0.57/0.94 | ((inverse @ X1) != (sk_c5))
% 0.57/0.94 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ X2) != (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) != (sk_c4)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.94 thf(zip_derived_cl24, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ X0) != (sk_c6))
% 0.57/0.94 | ((multiply @ (multiply @ sk_c5 @ sk_c6) @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ (multiply @ sk_c5 @ sk_c6)) != (sk_c5))
% 0.57/0.94 | ((multiply @ X1 @ (multiply @ sk_c5 @ sk_c6)) != (sk_c5))
% 0.57/0.94 | ((inverse @ X1) != (sk_c5))
% 0.57/0.94 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ X2) != (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) != (sk_c4)))),
% 0.57/0.94 inference('local_rewriting', [status(thm)], [zip_derived_cl23])).
% 0.57/0.94 thf(associativity, axiom,
% 0.57/0.94 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.57/0.94 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.57/0.94 thf(zip_derived_cl2, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.94 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.94 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.94 thf(zip_derived_cl35, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ X0) != (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c5 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 0.57/0.94 | ((inverse @ (multiply @ sk_c5 @ sk_c6)) != (sk_c5))
% 0.57/0.94 | ((multiply @ X1 @ (multiply @ sk_c5 @ sk_c6)) != (sk_c5))
% 0.57/0.94 | ((inverse @ X1) != (sk_c5))
% 0.57/0.94 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ X2) != (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) != (sk_c4)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 0.57/0.94 thf(prove_this_7, conjecture,
% 0.57/0.94 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.57/0.94 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.94 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.57/0.94 thf(zip_derived_cl9, plain,
% 0.57/0.94 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.94 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.57/0.94 thf(zip_derived_cl1, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.94 thf(zip_derived_cl28, plain,
% 0.57/0.94 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 0.57/0.94 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl1, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.94 thf(zip_derived_cl2, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.94 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.94 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.94 thf(zip_derived_cl39, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((multiply @ identity @ X0)
% 0.57/0.94 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.57/0.94 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.57/0.94 thf(zip_derived_cl0, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl76, plain,
% 0.57/0.94 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.57/0.94 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl57])).
% 0.57/0.94 thf(prove_this_11, conjecture,
% 0.57/0.94 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c1 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.57/0.94 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.94 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c1 @ sk_c5 ) = ( sk_c6 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.57/0.94 thf(zip_derived_cl13, plain,
% 0.57/0.94 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.94 thf(zip_derived_cl205, plain,
% 0.57/0.94 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c5)
% 0.57/0.94 = (sk_c6))
% 0.57/0.94 | ((inverse @ sk_c3) = (sk_c6))
% 0.57/0.94 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl13])).
% 0.57/0.94 thf(zip_derived_cl2, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.94 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.94 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.94 thf(zip_derived_cl0, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.94 thf(zip_derived_cl214, plain,
% 0.57/0.94 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((inverse @ sk_c3) = (sk_c6))
% 0.57/0.94 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl205, zip_derived_cl2, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl215, plain,
% 0.57/0.94 ((((inverse @ sk_c3) = (sk_c6))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl214])).
% 0.57/0.94 thf(zip_derived_cl1, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl69, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl66, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl69, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl266, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl69])).
% 0.57/0.94 thf(zip_derived_cl706, plain,
% 0.57/0.94 ((((sk_c3) = (inverse @ sk_c6))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl266])).
% 0.57/0.94 thf(prove_this_8, conjecture,
% 0.57/0.94 (~( ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.57/0.94 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.94 (( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.57/0.94 thf(zip_derived_cl10, plain,
% 0.57/0.94 ((((multiply @ sk_c3 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.94 thf(zip_derived_cl266, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl69])).
% 0.57/0.94 thf(zip_derived_cl342, plain,
% 0.57/0.94 ((((sk_c1) = (inverse @ sk_c6)) | ((multiply @ sk_c3 @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl266])).
% 0.57/0.94 thf(prove_this_12, conjecture,
% 0.57/0.94 (~( ( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c1 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.57/0.94 thf(zf_stmt_4, negated_conjecture,
% 0.57/0.94 (( ( multiply @ sk_c3 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c1 @ sk_c5 ) = ( sk_c6 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.57/0.94 thf(zip_derived_cl14, plain,
% 0.57/0.94 ((((multiply @ sk_c3 @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c1 @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.94 thf(zip_derived_cl414, plain,
% 0.57/0.94 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c3 @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c3 @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl342, zip_derived_cl14])).
% 0.57/0.94 thf(zip_derived_cl424, plain,
% 0.57/0.94 ((((multiply @ sk_c3 @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl414])).
% 0.57/0.94 thf(zip_derived_cl1816, plain,
% 0.57/0.94 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl706, zip_derived_cl424])).
% 0.57/0.94 thf(zip_derived_cl1821, plain,
% 0.57/0.94 (((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl1816])).
% 0.57/0.94 thf(zip_derived_cl266, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl69])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl333, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl1825, plain, (((sk_c5) = (multiply @ sk_c6 @ sk_c6))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1821, zip_derived_cl333])).
% 0.57/0.94 thf(zip_derived_cl1825, plain, (((sk_c5) = (multiply @ sk_c6 @ sk_c6))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1821, zip_derived_cl333])).
% 0.57/0.94 thf(zip_derived_cl2, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.94 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.94 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.94 thf(zip_derived_cl1828, plain,
% 0.57/0.94 (![X0 : $i]:
% 0.57/0.94 ((multiply @ sk_c5 @ X0)
% 0.57/0.94 = (multiply @ sk_c6 @ (multiply @ sk_c6 @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1825, zip_derived_cl2])).
% 0.57/0.94 thf(zip_derived_cl1845, plain,
% 0.57/0.94 (((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c6 @ sk_c5))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1825, zip_derived_cl1828])).
% 0.57/0.94 thf(zip_derived_cl1866, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ X0) != (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c5 @ (multiply @ sk_c5 @ sk_c6)) != (sk_c6))
% 0.57/0.94 | ((inverse @ (multiply @ sk_c5 @ sk_c6)) != (sk_c5))
% 0.57/0.94 | ((multiply @ X1 @ (multiply @ sk_c5 @ sk_c6)) != (sk_c5))
% 0.57/0.94 | ((inverse @ X1) != (sk_c5))
% 0.57/0.94 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 0.57/0.94 | ((inverse @ X2) != (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) != (sk_c4)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl1845])).
% 0.57/0.94 thf(prove_this_14, conjecture,
% 0.57/0.94 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 0.57/0.94 thf(zf_stmt_5, negated_conjecture,
% 0.57/0.94 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.57/0.94 thf(zip_derived_cl16, plain,
% 0.57/0.94 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c5)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.94 thf(zip_derived_cl266, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl69])).
% 0.57/0.94 thf(zip_derived_cl344, plain,
% 0.57/0.94 ((((sk_c2) = (inverse @ sk_c5)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl266])).
% 0.57/0.94 thf(prove_this_18, conjecture,
% 0.57/0.94 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c2 @ sk_c4 ) = ( sk_c5 ) ) ))).
% 0.57/0.94 thf(zf_stmt_6, negated_conjecture,
% 0.57/0.94 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c2 @ sk_c4 ) = ( sk_c5 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.57/0.94 thf(zip_derived_cl20, plain,
% 0.57/0.94 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c2 @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.94 thf(zip_derived_cl443, plain,
% 0.57/0.94 ((((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5))
% 0.57/0.94 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl344, zip_derived_cl20])).
% 0.57/0.94 thf(zip_derived_cl455, plain,
% 0.57/0.94 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl443])).
% 0.57/0.94 thf(prove_this_13, conjecture,
% 0.57/0.94 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.57/0.94 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 0.57/0.94 thf(zf_stmt_7, negated_conjecture,
% 0.57/0.94 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.57/0.94 thf(zip_derived_cl15, plain,
% 0.57/0.94 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c5)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.94 thf(zip_derived_cl1, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.94 thf(zip_derived_cl29, plain,
% 0.57/0.94 ((((multiply @ sk_c5 @ sk_c2) = (identity))
% 0.57/0.94 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl72, plain,
% 0.57/0.94 ((((sk_c2) = (multiply @ (inverse @ sk_c5) @ identity))
% 0.57/0.94 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl57])).
% 0.57/0.94 thf(prove_this_17, conjecture,
% 0.57/0.94 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c2 @ sk_c4 ) = ( sk_c5 ) ) ))).
% 0.57/0.94 thf(zf_stmt_8, negated_conjecture,
% 0.57/0.94 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c2 @ sk_c4 ) = ( sk_c5 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.57/0.94 thf(zip_derived_cl19, plain,
% 0.57/0.94 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c2 @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.94 thf(zip_derived_cl114, plain,
% 0.57/0.94 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c4)
% 0.57/0.94 = (sk_c5))
% 0.57/0.94 | ((inverse @ sk_c4) = (sk_c5))
% 0.57/0.94 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl19])).
% 0.57/0.94 thf(zip_derived_cl2, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.94 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.94 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.94 thf(zip_derived_cl0, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.94 thf(zip_derived_cl121, plain,
% 0.57/0.94 ((((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5))
% 0.57/0.94 | ((inverse @ sk_c4) = (sk_c5))
% 0.57/0.94 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl114, zip_derived_cl2, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl122, plain,
% 0.57/0.94 ((((inverse @ sk_c4) = (sk_c5))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.57/0.94 thf(zip_derived_cl266, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl69])).
% 0.57/0.94 thf(zip_derived_cl1, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.94 thf(zip_derived_cl331, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl373, plain,
% 0.57/0.94 ((((multiply @ sk_c4 @ sk_c5) = (identity))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl331])).
% 0.57/0.94 thf(zip_derived_cl2396, plain,
% 0.57/0.94 ((((sk_c6) = (identity))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl455, zip_derived_cl373])).
% 0.57/0.94 thf(zip_derived_cl2410, plain,
% 0.57/0.94 ((((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5))
% 0.57/0.94 | ((sk_c6) = (identity)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2396])).
% 0.57/0.94 thf(zip_derived_cl333, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl2413, plain,
% 0.57/0.94 ((((sk_c4) = (multiply @ sk_c5 @ sk_c5)) | ((sk_c6) = (identity)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl2410, zip_derived_cl333])).
% 0.57/0.94 thf(prove_this_1, conjecture,
% 0.57/0.94 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) ))).
% 0.57/0.94 thf(zf_stmt_9, negated_conjecture,
% 0.57/0.94 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.57/0.94 thf(zip_derived_cl3, plain,
% 0.57/0.94 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/0.94 thf(zip_derived_cl331, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl372, plain,
% 0.57/0.94 ((((multiply @ sk_c4 @ sk_c5) = (identity))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl331])).
% 0.57/0.94 thf(prove_this_2, conjecture,
% 0.57/0.94 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) ))).
% 0.57/0.94 thf(zf_stmt_10, negated_conjecture,
% 0.57/0.94 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.57/0.94 ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) )),
% 0.57/0.94 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.57/0.94 thf(zip_derived_cl4, plain,
% 0.57/0.94 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 0.57/0.94 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.94 thf(zip_derived_cl821, plain,
% 0.57/0.94 ((((identity) = (sk_c6))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl4])).
% 0.57/0.94 thf(zip_derived_cl831, plain,
% 0.57/0.94 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4)) | ((identity) = (sk_c6)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl821])).
% 0.57/0.94 thf(zip_derived_cl2440, plain,
% 0.57/0.94 ((((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c5 @ sk_c5))
% 0.57/0.94 | ((sk_c6) = (identity))
% 0.57/0.94 | ((identity) = (sk_c6)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl2413, zip_derived_cl831])).
% 0.57/0.94 thf(zip_derived_cl2455, plain,
% 0.57/0.94 ((((sk_c6) = (identity))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c5 @ sk_c5)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2440])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl2618, plain,
% 0.57/0.94 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ (multiply @ sk_c5 @ sk_c5)))
% 0.57/0.94 | ((sk_c6) = (identity)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl2455, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl2630, plain,
% 0.57/0.94 ((((sk_c6) = (sk_c5)) | ((sk_c6) = (identity)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl2618, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl331, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl1828, plain,
% 0.57/0.94 (![X0 : $i]:
% 0.57/0.94 ((multiply @ sk_c5 @ X0)
% 0.57/0.94 = (multiply @ sk_c6 @ (multiply @ sk_c6 @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1825, zip_derived_cl2])).
% 0.57/0.94 thf(zip_derived_cl1843, plain,
% 0.57/0.94 (((multiply @ sk_c5 @ (inverse @ sk_c6)) = (multiply @ sk_c6 @ identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl331, zip_derived_cl1828])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl1856, plain,
% 0.57/0.94 (((multiply @ sk_c5 @ (inverse @ sk_c6)) = (sk_c6))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl1843, zip_derived_cl239])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl1881, plain,
% 0.57/0.94 (((inverse @ sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c6))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1856, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl1, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.94 thf(zip_derived_cl1892, plain,
% 0.57/0.94 (((multiply @ (multiply @ (inverse @ sk_c5) @ sk_c6) @ sk_c6)
% 0.57/0.94 = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1881, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl2667, plain,
% 0.57/0.94 ((((multiply @ (multiply @ (inverse @ sk_c5) @ sk_c5) @ sk_c6)
% 0.57/0.94 = (identity))
% 0.57/0.94 | ((sk_c6) = (identity)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl2630, zip_derived_cl1892])).
% 0.57/0.94 thf(zip_derived_cl1, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.94 thf(zip_derived_cl0, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.94 thf(zip_derived_cl2676, plain,
% 0.57/0.94 ((((sk_c6) = (identity)) | ((sk_c6) = (identity)))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl2667, zip_derived_cl1, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl2763, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 (((multiply @ X0 @ sk_c5) != (identity))
% 0.57/0.94 | ((inverse @ X0) != (identity))
% 0.57/0.94 | ((multiply @ sk_c5 @ sk_c5) != (identity))
% 0.57/0.94 | ((inverse @ sk_c5) != (sk_c5))
% 0.57/0.94 | ((multiply @ X1 @ sk_c5) != (sk_c5))
% 0.57/0.94 | ((inverse @ X1) != (sk_c5))
% 0.57/0.94 | ((multiply @ X2 @ sk_c5) != (identity))
% 0.57/0.94 | ((inverse @ X2) != (identity))
% 0.57/0.94 | ((sk_c5) != (sk_c4)))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1866, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl2677, zip_derived_cl239, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl2677, zip_derived_cl239, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl239, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl2677, zip_derived_cl239])).
% 0.57/0.94 thf(zip_derived_cl1825, plain, (((sk_c5) = (multiply @ sk_c6 @ sk_c6))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl1821, zip_derived_cl333])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl2677, plain, (((sk_c6) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2676])).
% 0.57/0.94 thf(zip_derived_cl0, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl0, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl0, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl68, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl57, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl99, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl57])).
% 0.57/0.94 thf(zip_derived_cl1, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.94 thf(zip_derived_cl226, plain, (((inverse @ identity) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl239, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl122, plain,
% 0.57/0.94 ((((inverse @ sk_c4) = (sk_c5))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.57/0.94 thf(zip_derived_cl266, plain,
% 0.57/0.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl69])).
% 0.57/0.94 thf(zip_derived_cl337, plain,
% 0.57/0.94 ((((sk_c4) = (inverse @ sk_c5))
% 0.57/0.94 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5)))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl266])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl226, plain, (((inverse @ identity) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl226, plain, (((inverse @ identity) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl0, plain,
% 0.57/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.94 thf(zip_derived_cl2753, plain, (((sk_c5) = (identity))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl1825, zip_derived_cl2677, zip_derived_cl2677,
% 0.57/0.94 zip_derived_cl0])).
% 0.57/0.94 thf(zip_derived_cl2786, plain,
% 0.57/0.94 ((((sk_c4) = (identity)) | ((sk_c4) = (identity)))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl337, zip_derived_cl2753, zip_derived_cl226,
% 0.57/0.94 zip_derived_cl2753, zip_derived_cl226, zip_derived_cl0,
% 0.57/0.94 zip_derived_cl2753])).
% 0.57/0.94 thf(zip_derived_cl2787, plain, (((sk_c4) = (identity))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2786])).
% 0.57/0.94 thf(zip_derived_cl2803, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 (((X0) != (identity))
% 0.57/0.94 | ((inverse @ X0) != (identity))
% 0.57/0.94 | ((identity) != (identity))
% 0.57/0.94 | ((identity) != (identity))
% 0.57/0.94 | ((X1) != (identity))
% 0.57/0.94 | ((inverse @ X1) != (identity))
% 0.57/0.94 | ((X2) != (identity))
% 0.57/0.94 | ((inverse @ X2) != (identity))
% 0.57/0.94 | ((identity) != (identity)))),
% 0.57/0.94 inference('demod', [status(thm)],
% 0.57/0.94 [zip_derived_cl2763, zip_derived_cl2753, zip_derived_cl239,
% 0.57/0.94 zip_derived_cl2753, zip_derived_cl2753, zip_derived_cl0,
% 0.57/0.94 zip_derived_cl2753, zip_derived_cl226, zip_derived_cl2753,
% 0.57/0.94 zip_derived_cl2753, zip_derived_cl239, zip_derived_cl2753,
% 0.57/0.94 zip_derived_cl2753, zip_derived_cl2753, zip_derived_cl239,
% 0.57/0.94 zip_derived_cl2753, zip_derived_cl2787])).
% 0.57/0.94 thf(zip_derived_cl2804, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.94 (((inverse @ X2) != (identity))
% 0.57/0.94 | ((X2) != (identity))
% 0.57/0.94 | ((inverse @ X1) != (identity))
% 0.57/0.94 | ((X1) != (identity))
% 0.57/0.94 | ((inverse @ X0) != (identity))
% 0.57/0.94 | ((X0) != (identity)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2803])).
% 0.57/0.94 thf(zip_derived_cl2805, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 (((X0) != (identity))
% 0.57/0.94 | ((inverse @ X0) != (identity))
% 0.57/0.94 | ((X1) != (identity))
% 0.57/0.94 | ((inverse @ X1) != (identity))
% 0.57/0.94 | ((inverse @ identity) != (identity)))),
% 0.57/0.94 inference('eq_res', [status(thm)], [zip_derived_cl2804])).
% 0.57/0.94 thf(zip_derived_cl226, plain, (((inverse @ identity) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl2806, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 (((X0) != (identity))
% 0.57/0.94 | ((inverse @ X0) != (identity))
% 0.57/0.94 | ((X1) != (identity))
% 0.57/0.94 | ((inverse @ X1) != (identity))
% 0.57/0.94 | ((identity) != (identity)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl2805, zip_derived_cl226])).
% 0.57/0.94 thf(zip_derived_cl2807, plain,
% 0.57/0.94 (![X0 : $i, X1 : $i]:
% 0.57/0.94 (((inverse @ X1) != (identity))
% 0.57/0.94 | ((X1) != (identity))
% 0.57/0.94 | ((inverse @ X0) != (identity))
% 0.57/0.94 | ((X0) != (identity)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2806])).
% 0.57/0.94 thf(zip_derived_cl2808, plain,
% 0.57/0.94 (![X0 : $i]:
% 0.57/0.94 (((X0) != (identity))
% 0.57/0.94 | ((inverse @ X0) != (identity))
% 0.57/0.94 | ((inverse @ identity) != (identity)))),
% 0.57/0.94 inference('eq_res', [status(thm)], [zip_derived_cl2807])).
% 0.57/0.94 thf(zip_derived_cl226, plain, (((inverse @ identity) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl2809, plain,
% 0.57/0.94 (![X0 : $i]:
% 0.57/0.94 (((X0) != (identity))
% 0.57/0.94 | ((inverse @ X0) != (identity))
% 0.57/0.94 | ((identity) != (identity)))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl2808, zip_derived_cl226])).
% 0.57/0.94 thf(zip_derived_cl2810, plain,
% 0.57/0.94 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2809])).
% 0.57/0.94 thf(zip_derived_cl2811, plain, (((inverse @ identity) != (identity))),
% 0.57/0.94 inference('eq_res', [status(thm)], [zip_derived_cl2810])).
% 0.57/0.94 thf(zip_derived_cl226, plain, (((inverse @ identity) = (identity))),
% 0.57/0.94 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl1])).
% 0.57/0.94 thf(zip_derived_cl2812, plain, (((identity) != (identity))),
% 0.57/0.94 inference('demod', [status(thm)], [zip_derived_cl2811, zip_derived_cl226])).
% 0.57/0.94 thf(zip_derived_cl2813, plain, ($false),
% 0.57/0.94 inference('simplify', [status(thm)], [zip_derived_cl2812])).
% 0.57/0.94
% 0.57/0.94 % SZS output end Refutation
% 0.57/0.94
% 0.57/0.94
% 0.57/0.94 % Terminating...
% 0.57/0.98 % Runner terminated.
% 0.57/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------