TSTP Solution File: GRP319-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP319-1 : 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.QpuQOO8mse true
% Computer : n029.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 01:51:11 EDT 2023
% Result : Unsatisfiable 0.51s 0.97s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QpuQOO8mse true
% 0.13/0.34 % Computer : n029.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 23:57:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.47/0.60 % Total configuration time : 435
% 0.47/0.60 % Estimated wc time : 1092
% 0.47/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.96 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.51/0.97 % Solved by fo/fo7.sh.
% 0.51/0.97 % done 316 iterations in 0.210s
% 0.51/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.97 % SZS output start Refutation
% 0.51/0.97 thf(sk_c1_type, type, sk_c1: $i).
% 0.51/0.97 thf(sk_c7_type, type, sk_c7: $i).
% 0.51/0.97 thf(sk_c2_type, type, sk_c2: $i).
% 0.51/0.97 thf(sk_c6_type, type, sk_c6: $i).
% 0.51/0.97 thf(sk_c5_type, type, sk_c5: $i).
% 0.51/0.97 thf(identity_type, type, identity: $i).
% 0.51/0.97 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.51/0.97 thf(sk_c9_type, type, sk_c9: $i).
% 0.51/0.97 thf(inverse_type, type, inverse: $i > $i).
% 0.51/0.97 thf(sk_c4_type, type, sk_c4: $i).
% 0.51/0.97 thf(sk_c3_type, type, sk_c3: $i).
% 0.51/0.97 thf(sk_c8_type, type, sk_c8: $i).
% 0.51/0.97 thf(prove_this_37, conjecture,
% 0.51/0.97 (~( ( ( multiply @ X3 @ sk_c9 ) != ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.51/0.97 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 0.51/0.97 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) ) ))).
% 0.51/0.97 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.97 (( ( multiply @ X3 @ sk_c9 ) != ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ X3 ) != ( sk_c7 ) ) | ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.51/0.97 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 0.51/0.97 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 0.51/0.97 thf(zip_derived_cl39, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.51/0.97 (((multiply @ X0 @ sk_c9) != (sk_c7))
% 0.51/0.97 | ((inverse @ X0) != (sk_c7))
% 0.51/0.97 | ((inverse @ X1) != (sk_c8))
% 0.51/0.97 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 0.51/0.97 | ((inverse @ X2) != (sk_c9))
% 0.51/0.97 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 0.51/0.97 | ((inverse @ X3) != (sk_c9))
% 0.51/0.97 | ((multiply @ X3 @ sk_c9) != (X4))
% 0.51/0.97 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 0.51/0.97 | ((inverse @ X5) != (sk_c8))
% 0.51/0.97 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.97 thf(zip_derived_cl40, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.51/0.97 (((multiply @ X0 @ sk_c9) != (multiply @ sk_c8 @ sk_c9))
% 0.51/0.97 | ((inverse @ X0) != (multiply @ sk_c8 @ sk_c9))
% 0.51/0.97 | ((inverse @ X1) != (sk_c8))
% 0.51/0.97 | ((multiply @ X1 @ sk_c8) != (multiply @ sk_c8 @ sk_c9))
% 0.51/0.97 | ((inverse @ X2) != (sk_c9))
% 0.51/0.97 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 0.51/0.97 | ((inverse @ X3) != (sk_c9))
% 0.51/0.97 | ((multiply @ X3 @ sk_c9) != (X4))
% 0.51/0.97 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 0.51/0.97 | ((inverse @ X5) != (sk_c8))
% 0.51/0.97 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 0.51/0.97 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 0.51/0.97 thf(prove_this_16, conjecture,
% 0.51/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.51/0.97 thf(zf_stmt_1, negated_conjecture,
% 0.51/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.51/0.97 thf(zip_derived_cl18, plain,
% 0.51/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.97 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl45, plain,
% 0.51/0.97 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.51/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(associativity, axiom,
% 0.51/0.97 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.51/0.97 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.51/0.97 thf(zip_derived_cl2, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.51/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.51/0.97 inference('cnf', [status(esa)], [associativity])).
% 0.51/0.97 thf(zip_derived_cl59, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((multiply @ identity @ X0)
% 0.51/0.97 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.51/0.97 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl120, plain,
% 0.51/0.97 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.51/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl96])).
% 0.51/0.97 thf(prove_this_10, conjecture,
% 0.51/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.51/0.97 thf(zf_stmt_2, negated_conjecture,
% 0.51/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.51/0.97 thf(zip_derived_cl12, plain,
% 0.51/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.51/0.97 thf(zip_derived_cl215, plain,
% 0.51/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.51/0.97 = (sk_c9))
% 0.51/0.97 | ((inverse @ sk_c5) = (sk_c8))
% 0.51/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl12])).
% 0.51/0.97 thf(zip_derived_cl2, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.51/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.51/0.97 inference('cnf', [status(esa)], [associativity])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl233, plain,
% 0.51/0.97 ((((identity) = (sk_c9))
% 0.51/0.97 | ((inverse @ sk_c5) = (sk_c8))
% 0.51/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl215, zip_derived_cl2, zip_derived_cl0,
% 0.51/0.97 zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl234, plain,
% 0.51/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl233])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl239, plain,
% 0.51/0.97 ((((multiply @ sk_c8 @ sk_c5) = (identity)) | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl246, plain,
% 0.51/0.97 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.51/0.97 | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl96])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl116, plain,
% 0.51/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl96])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl113, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl96])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl702, plain,
% 0.51/0.97 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl664])).
% 0.51/0.97 thf(prove_this_15, conjecture,
% 0.51/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.51/0.97 thf(zf_stmt_3, negated_conjecture,
% 0.51/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.51/0.97 thf(zip_derived_cl17, plain,
% 0.51/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl116, plain,
% 0.51/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl96])).
% 0.51/0.97 thf(zip_derived_cl716, plain,
% 0.51/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl116])).
% 0.51/0.97 thf(zip_derived_cl910, plain,
% 0.51/0.97 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl716])).
% 0.51/0.97 thf(prove_this_9, conjecture,
% 0.51/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.51/0.97 thf(zf_stmt_4, negated_conjecture,
% 0.51/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.51/0.97 thf(zip_derived_cl11, plain,
% 0.51/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.97 thf(zip_derived_cl1243, plain,
% 0.51/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c9))
% 0.51/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl910, zip_derived_cl11])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl1262, plain,
% 0.51/0.97 ((((identity) = (sk_c9))
% 0.51/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl1243, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1263, plain,
% 0.51/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1262])).
% 0.51/0.97 thf(zip_derived_cl1622, plain,
% 0.51/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.51/0.97 | ((identity) = (sk_c9))
% 0.51/0.97 | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl702, zip_derived_cl1263])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl1625, plain,
% 0.51/0.97 ((((identity) = (sk_c7))
% 0.51/0.97 | ((identity) = (sk_c9))
% 0.51/0.97 | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl1622, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1626, plain,
% 0.51/0.97 ((((identity) = (sk_c9)) | ((identity) = (sk_c7)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1625])).
% 0.51/0.97 thf(prove_this_17, conjecture,
% 0.51/0.97 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.51/0.97 thf(zf_stmt_5, negated_conjecture,
% 0.51/0.97 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.51/0.97 thf(zip_derived_cl19, plain,
% 0.51/0.97 ((((inverse @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl46, plain,
% 0.51/0.97 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.51/0.97 | ((inverse @ sk_c6) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl121, plain,
% 0.51/0.97 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.51/0.97 | ((inverse @ sk_c6) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl96])).
% 0.51/0.97 thf(prove_this_11, conjecture,
% 0.51/0.97 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.51/0.97 thf(zf_stmt_6, negated_conjecture,
% 0.51/0.97 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.51/0.97 thf(zip_derived_cl13, plain,
% 0.51/0.97 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.51/0.97 thf(zip_derived_cl255, plain,
% 0.51/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.51/0.97 = (sk_c9))
% 0.51/0.97 | ((inverse @ sk_c6) = (sk_c7))
% 0.51/0.97 | ((inverse @ sk_c6) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl13])).
% 0.51/0.97 thf(zip_derived_cl2, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.51/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.51/0.97 inference('cnf', [status(esa)], [associativity])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl273, plain,
% 0.51/0.97 ((((identity) = (sk_c9))
% 0.51/0.97 | ((inverse @ sk_c6) = (sk_c7))
% 0.51/0.97 | ((inverse @ sk_c6) = (sk_c7)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl255, zip_derived_cl2, zip_derived_cl0,
% 0.51/0.97 zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl274, plain,
% 0.51/0.97 ((((inverse @ sk_c6) = (sk_c7)) | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 0.51/0.97 thf(prove_this_18, conjecture,
% 0.51/0.97 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.51/0.97 thf(zf_stmt_7, negated_conjecture,
% 0.51/0.97 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.51/0.97 thf(zip_derived_cl20, plain,
% 0.51/0.97 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl52, plain,
% 0.51/0.97 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.51/0.97 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl124, plain,
% 0.51/0.97 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.51/0.97 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl96])).
% 0.51/0.97 thf(prove_this_12, conjecture,
% 0.51/0.97 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.51/0.97 thf(zf_stmt_8, negated_conjecture,
% 0.51/0.97 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.51/0.97 thf(zip_derived_cl14, plain,
% 0.51/0.97 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.51/0.97 thf(zip_derived_cl475, plain,
% 0.51/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.51/0.97 = (sk_c9))
% 0.51/0.97 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl14])).
% 0.51/0.97 thf(zip_derived_cl2, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.51/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.51/0.97 inference('cnf', [status(esa)], [associativity])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl493, plain,
% 0.51/0.97 ((((identity) = (sk_c9))
% 0.51/0.97 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl475, zip_derived_cl2, zip_derived_cl0,
% 0.51/0.97 zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl494, plain,
% 0.51/0.97 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl493])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl570, plain,
% 0.51/0.97 ((((sk_c9) = (multiply @ (inverse @ sk_c6) @ sk_c7))
% 0.51/0.97 | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl96])).
% 0.51/0.97 thf(zip_derived_cl604, plain,
% 0.51/0.97 ((((sk_c9) = (multiply @ sk_c7 @ sk_c7))
% 0.51/0.97 | ((identity) = (sk_c9))
% 0.51/0.97 | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl570])).
% 0.51/0.97 thf(zip_derived_cl608, plain,
% 0.51/0.97 ((((identity) = (sk_c9)) | ((sk_c9) = (multiply @ sk_c7 @ sk_c7)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl604])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl611, plain,
% 0.51/0.97 ((((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c9))
% 0.51/0.97 | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl608, zip_derived_cl96])).
% 0.51/0.97 thf(zip_derived_cl1637, plain,
% 0.51/0.97 ((((sk_c7) = (multiply @ (inverse @ identity) @ sk_c9))
% 0.51/0.97 | ((identity) = (sk_c9))
% 0.51/0.97 | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl1626, zip_derived_cl611])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl115, plain,
% 0.51/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl96])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl170, plain,
% 0.51/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl96])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl651, plain, (((inverse @ identity) = (identity))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1646, plain,
% 0.51/0.97 ((((sk_c7) = (sk_c9)) | ((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl1637, zip_derived_cl651, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl1647, plain,
% 0.51/0.97 ((((identity) = (sk_c9)) | ((sk_c7) = (sk_c9)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1646])).
% 0.51/0.97 thf(zip_derived_cl1626, plain,
% 0.51/0.97 ((((identity) = (sk_c9)) | ((identity) = (sk_c7)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1625])).
% 0.51/0.97 thf(zip_derived_cl1661, plain,
% 0.51/0.97 ((((identity) = (sk_c9))
% 0.51/0.97 | ((identity) = (sk_c9))
% 0.51/0.97 | ((identity) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl1647, zip_derived_cl1626])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1704, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.51/0.97 (((X0) != (sk_c8))
% 0.51/0.97 | ((inverse @ X0) != (sk_c8))
% 0.51/0.97 | ((inverse @ X1) != (sk_c8))
% 0.51/0.97 | ((multiply @ X1 @ sk_c8) != (sk_c8))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((X2) != (sk_c8))
% 0.51/0.97 | ((inverse @ X3) != (identity))
% 0.51/0.97 | ((X3) != (X4))
% 0.51/0.97 | ((X4) != (sk_c8))
% 0.51/0.97 | ((inverse @ X5) != (sk_c8))
% 0.51/0.97 | ((multiply @ X5 @ sk_c8) != (identity))
% 0.51/0.97 | ((sk_c8) != (sk_c7)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl40, zip_derived_cl1670, zip_derived_cl664,
% 0.51/0.97 zip_derived_cl1670, zip_derived_cl664, zip_derived_cl1670,
% 0.51/0.97 zip_derived_cl664, zip_derived_cl1670, zip_derived_cl664,
% 0.51/0.97 zip_derived_cl1670, zip_derived_cl1670, zip_derived_cl664,
% 0.51/0.97 zip_derived_cl1670, zip_derived_cl1670, zip_derived_cl664,
% 0.51/0.97 zip_derived_cl1670, zip_derived_cl0, zip_derived_cl1670,
% 0.51/0.97 zip_derived_cl1670, zip_derived_cl664])).
% 0.51/0.97 thf(zip_derived_cl1785, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.51/0.97 (((sk_c8) != (sk_c7))
% 0.51/0.97 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (sk_c8))
% 0.51/0.97 | ((X1) != (sk_c8))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X2) != (sk_c8))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((multiply @ X3 @ sk_c8) != (sk_c8))
% 0.51/0.97 | ((inverse @ X3) != (sk_c8))
% 0.51/0.97 | ((inverse @ X4) != (sk_c8))
% 0.51/0.97 | ((X4) != (sk_c8)))),
% 0.51/0.97 inference('eq_res', [status(thm)], [zip_derived_cl1704])).
% 0.51/0.97 thf(prove_this_31, conjecture,
% 0.51/0.97 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 0.51/0.97 thf(zf_stmt_9, negated_conjecture,
% 0.51/0.97 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.51/0.97 thf(zip_derived_cl33, plain,
% 0.51/0.97 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.51/0.97 thf(zip_derived_cl716, plain,
% 0.51/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl116])).
% 0.51/0.97 thf(zip_derived_cl914, plain,
% 0.51/0.97 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl716])).
% 0.51/0.97 thf(prove_this_25, conjecture,
% 0.51/0.97 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 0.51/0.97 thf(zf_stmt_10, negated_conjecture,
% 0.51/0.97 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.51/0.97 thf(zip_derived_cl27, plain,
% 0.51/0.97 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 0.51/0.97 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.51/0.97 thf(zip_derived_cl1282, plain,
% 0.51/0.97 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 0.51/0.97 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 0.51/0.97 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl914, zip_derived_cl27])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl1300, plain,
% 0.51/0.97 ((((identity) = (sk_c3))
% 0.51/0.97 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 0.51/0.97 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl1282, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1301, plain,
% 0.51/0.97 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((identity) = (sk_c3)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1300])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1754, plain,
% 0.51/0.97 ((((sk_c4) = (sk_c8)) | ((identity) = (sk_c3)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl1301, zip_derived_cl1670, zip_derived_cl664])).
% 0.51/0.97 thf(prove_this_19, conjecture,
% 0.51/0.97 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 0.51/0.97 thf(zf_stmt_11, negated_conjecture,
% 0.51/0.97 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.51/0.97 thf(zip_derived_cl21, plain,
% 0.51/0.97 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 0.51/0.97 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1686, plain, ((((sk_c4) = (sk_c8)) | ((sk_c3) = (sk_c8)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl21, zip_derived_cl1670, zip_derived_cl664,
% 0.51/0.97 zip_derived_cl1670, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl1814, plain,
% 0.51/0.97 ((((identity) = (sk_c8)) | ((sk_c4) = (sk_c8)) | ((sk_c4) = (sk_c8)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl1754, zip_derived_cl1686])).
% 0.51/0.97 thf(zip_derived_cl1818, plain,
% 0.51/0.97 ((((sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1814])).
% 0.51/0.97 thf(prove_this_32, conjecture,
% 0.51/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 0.51/0.97 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 0.51/0.97 thf(zf_stmt_12, negated_conjecture,
% 0.51/0.97 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 0.51/0.97 thf(zip_derived_cl34, plain,
% 0.51/0.97 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl47, plain,
% 0.51/0.97 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 0.51/0.97 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl132, plain,
% 0.51/0.97 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.51/0.97 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl96])).
% 0.51/0.97 thf(prove_this_26, conjecture,
% 0.51/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 0.51/0.97 thf(zf_stmt_13, negated_conjecture,
% 0.51/0.97 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.51/0.97 thf(zip_derived_cl28, plain,
% 0.51/0.97 ((((inverse @ sk_c4) = (sk_c9)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.51/0.97 thf(zip_derived_cl367, plain,
% 0.51/0.97 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 0.51/0.97 = (sk_c3))
% 0.51/0.97 | ((inverse @ sk_c4) = (sk_c9))
% 0.51/0.97 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl28])).
% 0.51/0.97 thf(zip_derived_cl2, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.51/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.51/0.97 inference('cnf', [status(esa)], [associativity])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl384, plain,
% 0.51/0.97 ((((identity) = (sk_c3))
% 0.51/0.97 | ((inverse @ sk_c4) = (sk_c9))
% 0.51/0.97 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl367, zip_derived_cl2, zip_derived_cl0,
% 0.51/0.97 zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl385, plain,
% 0.51/0.97 ((((inverse @ sk_c4) = (sk_c9)) | ((identity) = (sk_c3)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl384])).
% 0.51/0.97 thf(prove_this_20, conjecture,
% 0.51/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 0.51/0.97 thf(zf_stmt_14, negated_conjecture,
% 0.51/0.97 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.51/0.97 thf(zip_derived_cl22, plain,
% 0.51/0.97 ((((inverse @ sk_c4) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.51/0.97 thf(zip_derived_cl393, plain,
% 0.51/0.97 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.51/0.97 | ((inverse @ sk_c4) = (sk_c9))
% 0.51/0.97 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl385, zip_derived_cl22])).
% 0.51/0.97 thf(zip_derived_cl401, plain,
% 0.51/0.97 ((((inverse @ sk_c4) = (sk_c9))
% 0.51/0.97 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl393])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl705, plain,
% 0.51/0.97 ((((inverse @ sk_c4) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl401, zip_derived_cl664])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl744, plain,
% 0.51/0.97 ((((multiply @ sk_c9 @ sk_c4) = (identity)) | ((sk_c9) = (sk_c8)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl705, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl1740, plain,
% 0.51/0.97 ((((sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl744, zip_derived_cl1670, zip_derived_cl0,
% 0.51/0.97 zip_derived_cl1670])).
% 0.51/0.97 thf(zip_derived_cl1848, plain,
% 0.51/0.97 ((((sk_c8) = (identity))
% 0.51/0.97 | ((identity) = (sk_c8))
% 0.51/0.97 | ((identity) = (sk_c8)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl1818, zip_derived_cl1740])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1882, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.51/0.97 (((identity) != (sk_c7))
% 0.51/0.97 | ((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((X3) != (identity))
% 0.51/0.97 | ((inverse @ X3) != (identity))
% 0.51/0.97 | ((inverse @ X4) != (identity))
% 0.51/0.97 | ((X4) != (identity)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl1785, zip_derived_cl1850, zip_derived_cl1850,
% 0.51/0.97 zip_derived_cl664, zip_derived_cl1850, zip_derived_cl1850,
% 0.51/0.97 zip_derived_cl1850, zip_derived_cl1850, zip_derived_cl664,
% 0.51/0.97 zip_derived_cl1850, zip_derived_cl1850, zip_derived_cl1850,
% 0.51/0.97 zip_derived_cl1850])).
% 0.51/0.97 thf(prove_this_4, conjecture,
% 0.51/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 0.51/0.97 thf(zf_stmt_15, negated_conjecture,
% 0.51/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.51/0.97 thf(zip_derived_cl6, plain,
% 0.51/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl42, plain,
% 0.51/0.97 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl96, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.51/0.97 thf(zip_derived_cl118, plain,
% 0.51/0.97 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl96])).
% 0.51/0.97 thf(prove_this_3, conjecture,
% 0.51/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 0.51/0.97 thf(zf_stmt_16, negated_conjecture,
% 0.51/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.51/0.97 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 0.51/0.97 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.51/0.97 thf(zip_derived_cl5, plain,
% 0.51/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.51/0.97 thf(zip_derived_cl172, plain,
% 0.51/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.51/0.97 = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl5])).
% 0.51/0.97 thf(zip_derived_cl2, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.51/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.51/0.97 inference('cnf', [status(esa)], [associativity])).
% 0.51/0.97 thf(zip_derived_cl0, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_identity])).
% 0.51/0.97 thf(zip_derived_cl1, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.51/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 0.51/0.97 thf(zip_derived_cl175, plain,
% 0.51/0.97 ((((identity) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7))
% 0.51/0.97 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl172, zip_derived_cl2, zip_derived_cl0,
% 0.51/0.97 zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl176, plain,
% 0.51/0.97 ((((multiply @ sk_c8 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 0.51/0.97 thf(zip_derived_cl1670, plain, (((identity) = (sk_c9))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 0.51/0.97 thf(zip_derived_cl664, plain,
% 0.51/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 0.51/0.97 thf(zip_derived_cl1721, plain,
% 0.51/0.97 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl176, zip_derived_cl1670, zip_derived_cl664])).
% 0.51/0.97 thf(zip_derived_cl1850, plain, (((sk_c8) = (identity))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1848])).
% 0.51/0.97 thf(zip_derived_cl1877, plain,
% 0.51/0.97 ((((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl1721, zip_derived_cl1850])).
% 0.51/0.97 thf(zip_derived_cl1878, plain, (((identity) = (sk_c7))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1877])).
% 0.51/0.97 thf(zip_derived_cl1925, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.51/0.97 (((identity) != (identity))
% 0.51/0.97 | ((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((X3) != (identity))
% 0.51/0.97 | ((inverse @ X3) != (identity))
% 0.51/0.97 | ((inverse @ X4) != (identity))
% 0.51/0.97 | ((X4) != (identity)))),
% 0.51/0.97 inference('demod', [status(thm)],
% 0.51/0.97 [zip_derived_cl1882, zip_derived_cl1878])).
% 0.51/0.97 thf(zip_derived_cl1926, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.51/0.97 (((X4) != (identity))
% 0.51/0.97 | ((inverse @ X4) != (identity))
% 0.51/0.97 | ((inverse @ X3) != (identity))
% 0.51/0.97 | ((X3) != (identity))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X0) != (identity)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1925])).
% 0.51/0.97 thf(zip_derived_cl1927, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.97 (((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((X3) != (identity))
% 0.51/0.97 | ((inverse @ X3) != (identity))
% 0.51/0.97 | ((inverse @ identity) != (identity)))),
% 0.51/0.97 inference('eq_res', [status(thm)], [zip_derived_cl1926])).
% 0.51/0.97 thf(zip_derived_cl651, plain, (((inverse @ identity) = (identity))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1928, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.97 (((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((X3) != (identity))
% 0.51/0.97 | ((inverse @ X3) != (identity))
% 0.51/0.97 | ((identity) != (identity)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl1927, zip_derived_cl651])).
% 0.51/0.97 thf(zip_derived_cl1929, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.97 (((inverse @ X3) != (identity))
% 0.51/0.97 | ((X3) != (identity))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X0) != (identity)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1928])).
% 0.51/0.97 thf(zip_derived_cl1930, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 (((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((inverse @ identity) != (identity)))),
% 0.51/0.97 inference('eq_res', [status(thm)], [zip_derived_cl1929])).
% 0.51/0.97 thf(zip_derived_cl651, plain, (((inverse @ identity) = (identity))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1931, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 (((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X2) != (identity))
% 0.51/0.97 | ((identity) != (identity)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl1930, zip_derived_cl651])).
% 0.51/0.97 thf(zip_derived_cl1932, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.97 (((inverse @ X2) != (identity))
% 0.51/0.97 | ((X2) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X0) != (identity)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 0.51/0.97 thf(zip_derived_cl1933, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 (((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((inverse @ identity) != (identity)))),
% 0.51/0.97 inference('eq_res', [status(thm)], [zip_derived_cl1932])).
% 0.51/0.97 thf(zip_derived_cl651, plain, (((inverse @ identity) = (identity))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1934, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 (((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X1) != (identity))
% 0.51/0.97 | ((identity) != (identity)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl1933, zip_derived_cl651])).
% 0.51/0.97 thf(zip_derived_cl1935, plain,
% 0.51/0.97 (![X0 : $i, X1 : $i]:
% 0.51/0.97 (((inverse @ X1) != (identity))
% 0.51/0.97 | ((X1) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((X0) != (identity)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1934])).
% 0.51/0.97 thf(zip_derived_cl1936, plain,
% 0.51/0.97 (![X0 : $i]:
% 0.51/0.97 (((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((inverse @ identity) != (identity)))),
% 0.51/0.97 inference('eq_res', [status(thm)], [zip_derived_cl1935])).
% 0.51/0.97 thf(zip_derived_cl651, plain, (((inverse @ identity) = (identity))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1937, plain,
% 0.51/0.97 (![X0 : $i]:
% 0.51/0.97 (((X0) != (identity))
% 0.51/0.97 | ((inverse @ X0) != (identity))
% 0.51/0.97 | ((identity) != (identity)))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl1936, zip_derived_cl651])).
% 0.51/0.97 thf(zip_derived_cl1938, plain,
% 0.51/0.97 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1937])).
% 0.51/0.97 thf(zip_derived_cl1939, plain, (((inverse @ identity) != (identity))),
% 0.51/0.97 inference('eq_res', [status(thm)], [zip_derived_cl1938])).
% 0.51/0.97 thf(zip_derived_cl651, plain, (((inverse @ identity) = (identity))),
% 0.51/0.97 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 0.51/0.97 thf(zip_derived_cl1940, plain, (((identity) != (identity))),
% 0.51/0.97 inference('demod', [status(thm)], [zip_derived_cl1939, zip_derived_cl651])).
% 0.51/0.97 thf(zip_derived_cl1941, plain, ($false),
% 0.51/0.97 inference('simplify', [status(thm)], [zip_derived_cl1940])).
% 0.51/0.97
% 0.51/0.97 % SZS output end Refutation
% 0.51/0.97
% 0.51/0.97
% 0.51/0.97 % Terminating...
% 1.62/1.05 % Runner terminated.
% 1.62/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------