TSTP Solution File: GRP274-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP274-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.A2Evrt4mYU true
% Computer : n002.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 01:51:00 EDT 2023
% Result : Unsatisfiable 1.30s 0.88s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP274-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.A2Evrt4mYU true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:55:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.08/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.08/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.08/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.88 % Solved by fo/fo7.sh.
% 1.30/0.88 % done 290 iterations in 0.105s
% 1.30/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.88 % SZS output start Refutation
% 1.30/0.88 thf(sk_c2_type, type, sk_c2: $i).
% 1.30/0.88 thf(sk_c6_type, type, sk_c6: $i).
% 1.30/0.88 thf(sk_c4_type, type, sk_c4: $i).
% 1.30/0.88 thf(sk_c3_type, type, sk_c3: $i).
% 1.30/0.88 thf(identity_type, type, identity: $i).
% 1.30/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.30/0.88 thf(sk_c7_type, type, sk_c7: $i).
% 1.30/0.88 thf(inverse_type, type, inverse: $i > $i).
% 1.30/0.88 thf(sk_c5_type, type, sk_c5: $i).
% 1.30/0.88 thf(sk_c1_type, type, sk_c1: $i).
% 1.30/0.88 thf(prove_this_26, conjecture,
% 1.30/0.88 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.30/0.88 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.30/0.88 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.30/0.88 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 1.30/0.88 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 1.30/0.88 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.88 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.30/0.88 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.30/0.88 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.30/0.88 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 1.30/0.88 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.30/0.88 thf(zip_derived_cl28, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.88 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.30/0.88 | ((inverse @ X1) != (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.30/0.88 | ((inverse @ X2) != (sk_c5))
% 1.30/0.88 | ((multiply @ X2 @ sk_c5) != (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 1.30/0.88 | ((inverse @ X3) != (sk_c7))
% 1.30/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.88 thf(zip_derived_cl29, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.88 (((multiply @ X0 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.30/0.88 | ((inverse @ X1) != (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.30/0.88 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c7))
% 1.30/0.88 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.30/0.88 | ((inverse @ X3) != (sk_c7))
% 1.30/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 1.30/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 1.30/0.88 thf(prove_this_22, conjecture,
% 1.30/0.88 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 1.30/0.88 thf(zf_stmt_1, negated_conjecture,
% 1.30/0.88 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.30/0.88 thf(zip_derived_cl24, plain,
% 1.30/0.88 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c5)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.88 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl39, plain,
% 1.30/0.88 ((((multiply @ sk_c5 @ sk_c2) = (identity))
% 1.30/0.88 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(associativity, axiom,
% 1.30/0.88 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.30/0.88 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.30/0.88 thf(zip_derived_cl2, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.88 thf(zip_derived_cl68, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((multiply @ identity @ X0)
% 1.30/0.88 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.30/0.88 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.30/0.88 thf(zip_derived_cl0, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl106, plain,
% 1.30/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.30/0.88 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl85])).
% 1.30/0.88 thf(prove_this_17, conjecture,
% 1.30/0.88 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.30/0.88 thf(zf_stmt_2, negated_conjecture,
% 1.30/0.88 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.30/0.88 thf(zip_derived_cl19, plain,
% 1.30/0.88 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.30/0.88 thf(zip_derived_cl187, plain,
% 1.30/0.88 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 1.30/0.88 = (sk_c7))
% 1.30/0.88 | ((inverse @ sk_c3) = (sk_c7))
% 1.30/0.88 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl19])).
% 1.30/0.88 thf(zip_derived_cl2, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.88 thf(zip_derived_cl0, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl200, plain,
% 1.30/0.88 ((((identity) = (sk_c7))
% 1.30/0.88 | ((inverse @ sk_c3) = (sk_c7))
% 1.30/0.88 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl187, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.88 zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl201, plain,
% 1.30/0.88 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl200])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl231, plain,
% 1.30/0.88 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl298, plain,
% 1.30/0.88 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.30/0.88 | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl98, plain,
% 1.30/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl95, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl451, plain,
% 1.30/0.88 ((((sk_c3) = (inverse @ sk_c7)) | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl298, zip_derived_cl425])).
% 1.30/0.88 thf(prove_this_24, conjecture,
% 1.30/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 1.30/0.88 thf(zf_stmt_3, negated_conjecture,
% 1.30/0.88 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.30/0.88 thf(zip_derived_cl26, plain,
% 1.30/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c5)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl40, plain,
% 1.30/0.88 ((((multiply @ sk_c5 @ sk_c2) = (identity))
% 1.30/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl107, plain,
% 1.30/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.30/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl85])).
% 1.30/0.88 thf(prove_this_19, conjecture,
% 1.30/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.30/0.88 thf(zf_stmt_4, negated_conjecture,
% 1.30/0.88 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.30/0.88 thf(zip_derived_cl21, plain,
% 1.30/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.30/0.88 thf(zip_derived_cl210, plain,
% 1.30/0.88 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 1.30/0.88 = (sk_c7))
% 1.30/0.88 | ((inverse @ sk_c4) = (sk_c6))
% 1.30/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl21])).
% 1.30/0.88 thf(zip_derived_cl2, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.88 thf(zip_derived_cl0, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl223, plain,
% 1.30/0.88 ((((identity) = (sk_c7))
% 1.30/0.88 | ((inverse @ sk_c4) = (sk_c6))
% 1.30/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl210, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.88 zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl224, plain,
% 1.30/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl223])).
% 1.30/0.88 thf(prove_this_25, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 1.30/0.88 thf(zf_stmt_5, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.30/0.88 thf(zip_derived_cl27, plain,
% 1.30/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c5)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl98, plain,
% 1.30/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl457, plain,
% 1.30/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl98])).
% 1.30/0.88 thf(zip_derived_cl479, plain,
% 1.30/0.88 ((((sk_c2) = (inverse @ sk_c5)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl457])).
% 1.30/0.88 thf(prove_this_20, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.30/0.88 thf(zf_stmt_6, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.30/0.88 thf(zip_derived_cl22, plain,
% 1.30/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.30/0.88 | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.30/0.88 thf(zip_derived_cl794, plain,
% 1.30/0.88 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.30/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl479, zip_derived_cl22])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl809, plain,
% 1.30/0.88 ((((identity) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.30/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl794, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl810, plain,
% 1.30/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl809])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl851, plain,
% 1.30/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 1.30/0.88 | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl810, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl977, plain,
% 1.30/0.88 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.30/0.88 | ((identity) = (sk_c7))
% 1.30/0.88 | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl851])).
% 1.30/0.88 thf(zip_derived_cl982, plain,
% 1.30/0.88 ((((identity) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl977])).
% 1.30/0.88 thf(prove_this_21, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 1.30/0.88 thf(zf_stmt_7, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.30/0.88 thf(zip_derived_cl23, plain,
% 1.30/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c5)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl38, plain,
% 1.30/0.88 ((((multiply @ sk_c5 @ sk_c2) = (identity))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl105, plain,
% 1.30/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl446, plain,
% 1.30/0.88 ((((sk_c2) = (inverse @ sk_c5)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl105, zip_derived_cl425])).
% 1.30/0.88 thf(prove_this_16, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.30/0.88 thf(zf_stmt_8, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.30/0.88 thf(zip_derived_cl18, plain,
% 1.30/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.30/0.88 | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.30/0.88 thf(zip_derived_cl580, plain,
% 1.30/0.88 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl446, zip_derived_cl18])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl595, plain,
% 1.30/0.88 ((((identity) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl580, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl596, plain,
% 1.30/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl595])).
% 1.30/0.88 thf(zip_derived_cl1007, plain,
% 1.30/0.88 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 1.30/0.88 | ((identity) = (sk_c7))
% 1.30/0.88 | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl596])).
% 1.30/0.88 thf(zip_derived_cl1011, plain,
% 1.30/0.88 ((((identity) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1007])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl1060, plain,
% 1.30/0.88 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 1.30/0.88 | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl1011, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl1064, plain,
% 1.30/0.88 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1060, zip_derived_cl85])).
% 1.30/0.88 thf(prove_this_23, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 1.30/0.88 thf(zf_stmt_9, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.30/0.88 thf(zip_derived_cl25, plain,
% 1.30/0.88 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c5)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.30/0.88 thf(zip_derived_cl457, plain,
% 1.30/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl98])).
% 1.30/0.88 thf(zip_derived_cl477, plain,
% 1.30/0.88 ((((sk_c2) = (inverse @ sk_c5)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl457])).
% 1.30/0.88 thf(prove_this_18, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.30/0.88 thf(zf_stmt_10, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.30/0.88 thf(zip_derived_cl20, plain,
% 1.30/0.88 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.30/0.88 thf(zip_derived_cl687, plain,
% 1.30/0.88 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl477, zip_derived_cl20])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl702, plain,
% 1.30/0.88 ((((identity) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl687, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl703, plain,
% 1.30/0.88 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl702])).
% 1.30/0.88 thf(zip_derived_cl1076, plain,
% 1.30/0.88 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 1.30/0.88 | ((identity) = (sk_c7))
% 1.30/0.88 | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl1064, zip_derived_cl703])).
% 1.30/0.88 thf(zip_derived_cl1082, plain,
% 1.30/0.88 ((((identity) = (sk_c7)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c7)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1076])).
% 1.30/0.88 thf(zip_derived_cl1261, plain,
% 1.30/0.88 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 1.30/0.88 | ((identity) = (sk_c7))
% 1.30/0.88 | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl451, zip_derived_cl1082])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl1269, plain,
% 1.30/0.88 ((((identity) = (sk_c7))
% 1.30/0.88 | ((identity) = (sk_c7))
% 1.30/0.88 | ((identity) = (sk_c7)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1261, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl0, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1297, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.88 (((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((sk_c6) != (sk_c5))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((multiply @ X2 @ sk_c6) != (identity))
% 1.30/0.88 | ((sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ X3) != (identity))
% 1.30/0.88 | ((X3) != (sk_c6)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl29, zip_derived_cl1270, zip_derived_cl425,
% 1.30/0.88 zip_derived_cl1270, zip_derived_cl1270, zip_derived_cl1270,
% 1.30/0.88 zip_derived_cl425, zip_derived_cl1270, zip_derived_cl425,
% 1.30/0.88 zip_derived_cl1270, zip_derived_cl425, zip_derived_cl1270,
% 1.30/0.88 zip_derived_cl1270, zip_derived_cl1270, zip_derived_cl425,
% 1.30/0.88 zip_derived_cl0, zip_derived_cl1270, zip_derived_cl1270,
% 1.30/0.88 zip_derived_cl425])).
% 1.30/0.88 thf(zip_derived_cl1298, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.88 (((X3) != (sk_c6))
% 1.30/0.88 | ((inverse @ X3) != (identity))
% 1.30/0.88 | ((multiply @ X2 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((sk_c6) != (sk_c5))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (sk_c6)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1297])).
% 1.30/0.88 thf(prove_this_11, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.30/0.88 thf(zf_stmt_11, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.30/0.88 thf(zip_derived_cl13, plain,
% 1.30/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.30/0.88 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl0, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.88 thf(zip_derived_cl1283, plain, ((((sk_c6) = (sk_c5)) | ((sk_c5) = (sk_c6)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl13, zip_derived_cl1270, zip_derived_cl425,
% 1.30/0.88 zip_derived_cl1270, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl1284, plain, (((sk_c6) = (sk_c5))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1283])).
% 1.30/0.88 thf(zip_derived_cl1348, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.88 (((X3) != (sk_c6))
% 1.30/0.88 | ((inverse @ X3) != (identity))
% 1.30/0.88 | ((multiply @ X2 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (sk_c6)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl1298, zip_derived_cl1284])).
% 1.30/0.88 thf(zip_derived_cl1349, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.88 (((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((multiply @ X2 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X3) != (identity))
% 1.30/0.88 | ((X3) != (sk_c6)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1348])).
% 1.30/0.88 thf(zip_derived_cl1350, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 (((inverse @ sk_c6) != (identity))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((multiply @ X2 @ sk_c6) != (sk_c6)))),
% 1.30/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1349])).
% 1.30/0.88 thf(prove_this_2, conjecture,
% 1.30/0.88 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.30/0.88 thf(zf_stmt_12, negated_conjecture,
% 1.30/0.88 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.30/0.88 thf(zip_derived_cl4, plain,
% 1.30/0.88 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1274, plain,
% 1.30/0.88 ((((inverse @ sk_c3) = (identity)) | ((sk_c1) = (sk_c6)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl4, zip_derived_cl1270, zip_derived_cl1270,
% 1.30/0.88 zip_derived_cl425])).
% 1.30/0.88 thf(zip_derived_cl457, plain,
% 1.30/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl98])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl464, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl457, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl1343, plain,
% 1.30/0.88 (![X0 : $i]:
% 1.30/0.88 (((X0) = (multiply @ sk_c3 @ (multiply @ identity @ X0)))
% 1.30/0.88 | ((sk_c1) = (sk_c6)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl1274, zip_derived_cl464])).
% 1.30/0.88 thf(zip_derived_cl0, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.88 thf(zip_derived_cl1346, plain,
% 1.30/0.88 (![X0 : $i]: (((X0) = (multiply @ sk_c3 @ X0)) | ((sk_c1) = (sk_c6)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1343, zip_derived_cl0])).
% 1.30/0.88 thf(prove_this_3, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.30/0.88 thf(zf_stmt_13, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.30/0.88 thf(zip_derived_cl5, plain,
% 1.30/0.88 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1275, plain,
% 1.30/0.88 ((((multiply @ sk_c3 @ sk_c6) = (identity)) | ((sk_c1) = (sk_c6)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl5, zip_derived_cl1270, zip_derived_cl1270,
% 1.30/0.88 zip_derived_cl425])).
% 1.30/0.88 thf(zip_derived_cl1538, plain,
% 1.30/0.88 ((((sk_c6) = (identity)) | ((sk_c1) = (sk_c6)) | ((sk_c1) = (sk_c6)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl1346, zip_derived_cl1275])).
% 1.30/0.88 thf(zip_derived_cl1542, plain,
% 1.30/0.88 ((((sk_c1) = (sk_c6)) | ((sk_c6) = (identity)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1538])).
% 1.30/0.88 thf(prove_this_9, conjecture,
% 1.30/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.30/0.88 thf(zf_stmt_14, negated_conjecture,
% 1.30/0.88 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.30/0.88 thf(zip_derived_cl11, plain,
% 1.30/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.30/0.88 thf(prove_this_10, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.30/0.88 thf(zf_stmt_15, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.30/0.88 thf(zip_derived_cl12, plain,
% 1.30/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl111, plain,
% 1.30/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 1.30/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl361, plain,
% 1.30/0.88 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.30/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.30/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl111])).
% 1.30/0.88 thf(zip_derived_cl367, plain,
% 1.30/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl361])).
% 1.30/0.88 thf(prove_this_6, conjecture,
% 1.30/0.88 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.30/0.88 thf(zf_stmt_16, negated_conjecture,
% 1.30/0.88 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.30/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.30/0.88 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.30/0.88 thf(zip_derived_cl8, plain,
% 1.30/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.30/0.88 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.30/0.88 thf(zip_derived_cl371, plain,
% 1.30/0.88 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 1.30/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.30/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl8])).
% 1.30/0.88 thf(zip_derived_cl387, plain,
% 1.30/0.88 ((((inverse @ sk_c1) = (sk_c7))
% 1.30/0.88 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl371])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl897, plain,
% 1.30/0.88 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 1.30/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl899, plain,
% 1.30/0.88 ((((sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl897, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1270, plain, (((identity) = (sk_c7))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1269])).
% 1.30/0.88 thf(zip_derived_cl1326, plain,
% 1.30/0.88 ((((sk_c6) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl899, zip_derived_cl1270, zip_derived_cl1270])).
% 1.30/0.88 thf(zip_derived_cl0, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl97, plain,
% 1.30/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl85, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl128, plain,
% 1.30/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl85])).
% 1.30/0.88 thf(zip_derived_cl1, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1326, plain,
% 1.30/0.88 ((((sk_c6) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl899, zip_derived_cl1270, zip_derived_cl1270])).
% 1.30/0.88 thf(zip_derived_cl1350, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 (((inverse @ sk_c6) != (identity))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((multiply @ X2 @ sk_c6) != (sk_c6)))),
% 1.30/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1349])).
% 1.30/0.88 thf(zip_derived_cl1397, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 (((inverse @ identity) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((multiply @ X2 @ sk_c6) != (identity)))),
% 1.30/0.88 inference('sup-', [status(thm)], [zip_derived_cl1326, zip_derived_cl1350])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1401, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 (((identity) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((multiply @ X2 @ sk_c6) != (identity)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1397, zip_derived_cl412])).
% 1.30/0.88 thf(zip_derived_cl1402, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 (((multiply @ X2 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (sk_c6))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1401])).
% 1.30/0.88 thf(zip_derived_cl1585, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((identity) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ identity @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (sk_c6))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity)))),
% 1.30/0.88 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl1402])).
% 1.30/0.88 thf(zip_derived_cl0, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.88 thf(zip_derived_cl1595, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((identity) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (sk_c6))
% 1.30/0.88 | ((multiply @ X1 @ sk_c6) != (identity)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1585, zip_derived_cl0])).
% 1.30/0.88 thf(zip_derived_cl1596, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((multiply @ X1 @ sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (sk_c6))
% 1.30/0.88 | ((sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (sk_c6))
% 1.30/0.88 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1595])).
% 1.30/0.88 thf(zip_derived_cl1597, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((multiply @ X1 @ identity) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((multiply @ X0 @ identity) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity)))),
% 1.30/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl1596])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1607, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((X1) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((sk_c6) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((X0) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl1597, zip_derived_cl425, zip_derived_cl425])).
% 1.30/0.88 thf(zip_derived_cl1608, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((identity) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity))
% 1.30/0.88 | ((X0) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((X1) != (identity)))),
% 1.30/0.88 inference('sup-', [status(thm)], [zip_derived_cl1326, zip_derived_cl1607])).
% 1.30/0.88 thf(zip_derived_cl1610, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((X1) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((X0) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1608])).
% 1.30/0.88 thf(zip_derived_cl1612, plain,
% 1.30/0.88 (![X0 : $i]:
% 1.30/0.88 (((inverse @ sk_c1) = (identity))
% 1.30/0.88 | ((X0) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((inverse @ identity) != (identity)))),
% 1.30/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1610])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1613, plain,
% 1.30/0.88 (![X0 : $i]:
% 1.30/0.88 (((inverse @ sk_c1) = (identity))
% 1.30/0.88 | ((X0) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((identity) != (identity)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1612, zip_derived_cl412])).
% 1.30/0.88 thf(zip_derived_cl1614, plain,
% 1.30/0.88 (![X0 : $i]:
% 1.30/0.88 (((inverse @ X0) != (identity))
% 1.30/0.88 | ((X0) != (identity))
% 1.30/0.88 | ((inverse @ sk_c1) = (identity)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1613])).
% 1.30/0.88 thf(zip_derived_cl1615, plain,
% 1.30/0.88 ((((inverse @ sk_c1) = (identity)) | ((inverse @ identity) != (identity)))),
% 1.30/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1614])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1616, plain,
% 1.30/0.88 ((((inverse @ sk_c1) = (identity)) | ((identity) != (identity)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1615, zip_derived_cl412])).
% 1.30/0.88 thf(zip_derived_cl1617, plain, (((inverse @ sk_c1) = (identity))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1616])).
% 1.30/0.88 thf(zip_derived_cl457, plain,
% 1.30/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl98])).
% 1.30/0.88 thf(zip_derived_cl1621, plain, (((sk_c1) = (inverse @ identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl1617, zip_derived_cl457])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1625, plain, (((sk_c1) = (identity))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1621, zip_derived_cl412])).
% 1.30/0.88 thf(zip_derived_cl1633, plain,
% 1.30/0.88 ((((identity) = (sk_c6)) | ((sk_c6) = (identity)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl1542, zip_derived_cl1625])).
% 1.30/0.88 thf(zip_derived_cl1634, plain, (((identity) = (sk_c6))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1634, plain, (((identity) = (sk_c6))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1634, plain, (((identity) = (sk_c6))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 1.30/0.88 thf(zip_derived_cl1634, plain, (((identity) = (sk_c6))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1634, plain, (((identity) = (sk_c6))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 1.30/0.88 thf(zip_derived_cl1634, plain, (((identity) = (sk_c6))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 1.30/0.88 thf(zip_derived_cl425, plain,
% 1.30/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl95])).
% 1.30/0.88 thf(zip_derived_cl1634, plain, (((identity) = (sk_c6))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 1.30/0.88 thf(zip_derived_cl1644, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 (((identity) != (identity))
% 1.30/0.88 | ((X0) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((X1) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (identity))
% 1.30/0.88 | ((X2) != (identity)))),
% 1.30/0.88 inference('demod', [status(thm)],
% 1.30/0.88 [zip_derived_cl1350, zip_derived_cl1634, zip_derived_cl412,
% 1.30/0.88 zip_derived_cl1634, zip_derived_cl425, zip_derived_cl1634,
% 1.30/0.88 zip_derived_cl1634, zip_derived_cl425, zip_derived_cl1634,
% 1.30/0.88 zip_derived_cl1634, zip_derived_cl425, zip_derived_cl1634])).
% 1.30/0.88 thf(zip_derived_cl1645, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.88 (((X2) != (identity))
% 1.30/0.88 | ((inverse @ X2) != (identity))
% 1.30/0.88 | ((X1) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((X0) != (identity)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1644])).
% 1.30/0.88 thf(zip_derived_cl1659, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((X0) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((X1) != (identity))
% 1.30/0.88 | ((inverse @ identity) != (identity)))),
% 1.30/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1645])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1660, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((X0) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((X1) != (identity))
% 1.30/0.88 | ((identity) != (identity)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1659, zip_derived_cl412])).
% 1.30/0.88 thf(zip_derived_cl1661, plain,
% 1.30/0.88 (![X0 : $i, X1 : $i]:
% 1.30/0.88 (((X1) != (identity))
% 1.30/0.88 | ((inverse @ X1) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((X0) != (identity)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1660])).
% 1.30/0.88 thf(zip_derived_cl1662, plain,
% 1.30/0.88 (![X0 : $i]:
% 1.30/0.88 (((X0) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((inverse @ identity) != (identity)))),
% 1.30/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1661])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1663, plain,
% 1.30/0.88 (![X0 : $i]:
% 1.30/0.88 (((X0) != (identity))
% 1.30/0.88 | ((inverse @ X0) != (identity))
% 1.30/0.88 | ((identity) != (identity)))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1662, zip_derived_cl412])).
% 1.30/0.88 thf(zip_derived_cl1664, plain,
% 1.30/0.88 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1663])).
% 1.30/0.88 thf(zip_derived_cl1665, plain, (((inverse @ identity) != (identity))),
% 1.30/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1664])).
% 1.30/0.88 thf(zip_derived_cl412, plain, (((inverse @ identity) = (identity))),
% 1.30/0.88 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.30/0.88 thf(zip_derived_cl1666, plain, (((identity) != (identity))),
% 1.30/0.88 inference('demod', [status(thm)], [zip_derived_cl1665, zip_derived_cl412])).
% 1.30/0.88 thf(zip_derived_cl1667, plain, ($false),
% 1.30/0.88 inference('simplify', [status(thm)], [zip_derived_cl1666])).
% 1.30/0.88
% 1.30/0.88 % SZS output end Refutation
% 1.30/0.88
% 1.30/0.88
% 1.30/0.88 % Terminating...
% 1.46/0.94 % Runner terminated.
% 1.46/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------