TSTP Solution File: GRP330-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP330-1 : 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.UxVHDUWHJh true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:13 EDT 2023
% Result : Unsatisfiable 1.28s 0.97s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP330-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UxVHDUWHJh true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:44:54 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.68/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.97 % Solved by fo/fo7.sh.
% 1.28/0.97 % done 530 iterations in 0.193s
% 1.28/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.97 % SZS output start Refutation
% 1.28/0.97 thf(sk_c8_type, type, sk_c8: $i).
% 1.28/0.97 thf(sk_c9_type, type, sk_c9: $i).
% 1.28/0.97 thf(sk_c5_type, type, sk_c5: $i).
% 1.28/0.97 thf(sk_c4_type, type, sk_c4: $i).
% 1.28/0.97 thf(identity_type, type, identity: $i).
% 1.28/0.97 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.28/0.97 thf(sk_c11_type, type, sk_c11: $i).
% 1.28/0.97 thf(sk_c2_type, type, sk_c2: $i).
% 1.28/0.97 thf(inverse_type, type, inverse: $i > $i).
% 1.28/0.97 thf(sk_c3_type, type, sk_c3: $i).
% 1.28/0.97 thf(sk_c1_type, type, sk_c1: $i).
% 1.28/0.97 thf(sk_c10_type, type, sk_c10: $i).
% 1.28/0.97 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.28/0.97 thf(zip_derived_cl0, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.97 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(associativity, axiom,
% 1.28/0.97 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.28/0.97 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.28/0.97 thf(zip_derived_cl2, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.28/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.28/0.97 inference('cnf', [status(esa)], [associativity])).
% 1.28/0.97 thf(zip_derived_cl101, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((multiply @ identity @ X0)
% 1.28/0.97 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.28/0.97 thf(zip_derived_cl0, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.97 thf(zip_derived_cl134, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl180, plain,
% 1.28/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl134])).
% 1.28/0.97 thf(zip_derived_cl134, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl254, plain,
% 1.28/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl134])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl1239, plain, (((inverse @ identity) = (identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 1.28/0.97 thf(prove_this_51, conjecture,
% 1.28/0.97 (~( ( ( multiply @ X7 @ X6 ) != ( X8 ) ) |
% 1.28/0.97 ( ( inverse @ X8 ) != ( X6 ) ) | ( ( inverse @ X7 ) != ( X8 ) ) |
% 1.28/0.97 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.28/0.97 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.28/0.97 ( ( multiply @ X5 @ X6 ) != ( sk_c11 ) ) |
% 1.28/0.97 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 1.28/0.97 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.28/0.97 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 1.28/0.97 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 1.28/0.97 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.28/0.97 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.28/0.97 ( ( inverse @ X3 ) != ( sk_c10 ) ) |
% 1.28/0.97 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c10 @ sk_c11 ) != ( sk_c9 ) ) ))).
% 1.28/0.97 thf(zf_stmt_0, negated_conjecture,
% 1.28/0.97 (( ( multiply @ X7 @ X6 ) != ( X8 ) ) | ( ( inverse @ X8 ) != ( X6 ) ) |
% 1.28/0.97 ( ( inverse @ X7 ) != ( X8 ) ) |
% 1.28/0.97 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.28/0.97 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.28/0.97 ( ( multiply @ X5 @ X6 ) != ( sk_c11 ) ) |
% 1.28/0.97 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 1.28/0.97 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.28/0.97 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 1.28/0.97 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 1.28/0.97 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.28/0.97 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.28/0.97 ( ( inverse @ X3 ) != ( sk_c10 ) ) |
% 1.28/0.97 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c10 @ sk_c11 ) != ( sk_c9 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_51])).
% 1.28/0.97 thf(zip_derived_cl53, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X1) != (X0))
% 1.28/0.97 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 1.28/0.97 | ((inverse @ X3) != (X2))
% 1.28/0.97 | ((multiply @ X3 @ X2) != (sk_c11))
% 1.28/0.97 | ((inverse @ X4) != (sk_c10))
% 1.28/0.97 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 1.28/0.97 | ((inverse @ X5) != (sk_c11))
% 1.28/0.97 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 1.28/0.97 | ((inverse @ X6) != (sk_c9))
% 1.28/0.97 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.28/0.97 | ((inverse @ X7) != (sk_c10))
% 1.28/0.97 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) != (sk_c9)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/0.97 thf(zip_derived_cl54, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X1) != (X0))
% 1.28/0.97 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 1.28/0.97 | ((inverse @ X3) != (X2))
% 1.28/0.97 | ((multiply @ X3 @ X2) != (sk_c11))
% 1.28/0.97 | ((inverse @ X4) != (sk_c10))
% 1.28/0.97 | ((multiply @ X4 @ sk_c10) != (multiply @ sk_c10 @ sk_c11))
% 1.28/0.97 | ((inverse @ X5) != (sk_c11))
% 1.28/0.97 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 1.28/0.97 | ((inverse @ X6) != (multiply @ sk_c10 @ sk_c11))
% 1.28/0.97 | ((multiply @ X6 @ (multiply @ sk_c10 @ sk_c11)) != (sk_c10))
% 1.28/0.97 | ((inverse @ X7) != (sk_c10))
% 1.28/0.97 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) != (sk_c9)))),
% 1.28/0.97 inference('local_rewriting', [status(thm)], [zip_derived_cl53])).
% 1.28/0.97 thf(prove_this_26, conjecture,
% 1.28/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.97 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.28/0.97 thf(zf_stmt_1, negated_conjecture,
% 1.28/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.28/0.97 thf(zip_derived_cl28, plain,
% 1.28/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl55, plain,
% 1.28/0.97 ((((multiply @ sk_c10 @ sk_c1) = (identity))
% 1.28/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl134, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl185, plain,
% 1.28/0.97 ((((sk_c1) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.28/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl134])).
% 1.28/0.97 thf(prove_this_16, conjecture,
% 1.28/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 1.28/0.97 thf(zf_stmt_2, negated_conjecture,
% 1.28/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.28/0.97 thf(zip_derived_cl18, plain,
% 1.28/0.97 ((((inverse @ sk_c5) = (sk_c8))
% 1.28/0.97 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.28/0.97 thf(zip_derived_cl261, plain,
% 1.28/0.97 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.28/0.97 = (sk_c11))
% 1.28/0.97 | ((inverse @ sk_c5) = (sk_c8))
% 1.28/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl185, zip_derived_cl18])).
% 1.28/0.97 thf(zip_derived_cl2, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.28/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.28/0.97 inference('cnf', [status(esa)], [associativity])).
% 1.28/0.97 thf(zip_derived_cl0, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl290, plain,
% 1.28/0.97 ((((identity) = (sk_c11))
% 1.28/0.97 | ((inverse @ sk_c5) = (sk_c8))
% 1.28/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl261, zip_derived_cl2, zip_derived_cl0,
% 1.28/0.97 zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl291, plain,
% 1.28/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c11)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl290])).
% 1.28/0.97 thf(prove_this_25, conjecture,
% 1.28/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.28/0.97 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.28/0.97 thf(zf_stmt_3, negated_conjecture,
% 1.28/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.28/0.97 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.28/0.97 thf(zip_derived_cl27, plain,
% 1.28/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.28/0.97 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl134, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl181, plain,
% 1.28/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl134])).
% 1.28/0.97 thf(zip_derived_cl134, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl134, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl178, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl134])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl181, plain,
% 1.28/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl134])).
% 1.28/0.97 thf(zip_derived_cl1330, plain,
% 1.28/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1252, zip_derived_cl181])).
% 1.28/0.97 thf(zip_derived_cl1700, plain,
% 1.28/0.97 ((((sk_c1) = (inverse @ sk_c10))
% 1.28/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1330])).
% 1.28/0.97 thf(prove_this_15, conjecture,
% 1.28/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 1.28/0.97 thf(zf_stmt_4, negated_conjecture,
% 1.28/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.28/0.97 thf(zip_derived_cl17, plain,
% 1.28/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.28/0.97 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.28/0.97 thf(zip_derived_cl2309, plain,
% 1.28/0.97 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c11))
% 1.28/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.28/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1700, zip_derived_cl17])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl2338, plain,
% 1.28/0.97 ((((identity) = (sk_c11))
% 1.28/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.28/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl2309, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl2339, plain,
% 1.28/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11)) | ((identity) = (sk_c11)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2338])).
% 1.28/0.97 thf(zip_derived_cl2953, plain,
% 1.28/0.97 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c11))
% 1.28/0.97 | ((identity) = (sk_c11))
% 1.28/0.97 | ((identity) = (sk_c11)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl291, zip_derived_cl2339])).
% 1.28/0.97 thf(zip_derived_cl1330, plain,
% 1.28/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1252, zip_derived_cl181])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl1671, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1330, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl2957, plain,
% 1.28/0.97 ((((identity) = (sk_c11))
% 1.28/0.97 | ((identity) = (sk_c11))
% 1.28/0.97 | ((identity) = (sk_c11)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl2953, zip_derived_cl1671])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl2993, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X1) != (X0))
% 1.28/0.97 | ((multiply @ X2 @ sk_c10) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X2))
% 1.28/0.97 | ((multiply @ X3 @ X2) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (sk_c10))
% 1.28/0.97 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X5) != (sk_c10))
% 1.28/0.97 | ((inverse @ X6) != (sk_c10))
% 1.28/0.97 | ((multiply @ X6 @ sk_c10) != (sk_c10))
% 1.28/0.97 | ((inverse @ X7) != (sk_c10))
% 1.28/0.97 | ((multiply @ X7 @ sk_c10) != (identity))
% 1.28/0.97 | ((sk_c10) != (sk_c9)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl54, zip_derived_cl2958, zip_derived_cl2958,
% 1.28/0.97 zip_derived_cl2958, zip_derived_cl1252, zip_derived_cl2958,
% 1.28/0.97 zip_derived_cl2958, zip_derived_cl1252, zip_derived_cl2958,
% 1.28/0.97 zip_derived_cl1252, zip_derived_cl2958, zip_derived_cl1252,
% 1.28/0.97 zip_derived_cl2958, zip_derived_cl2958, zip_derived_cl1252])).
% 1.28/0.97 thf(prove_this_41, conjecture,
% 1.28/0.97 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.28/0.97 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.28/0.97 thf(zf_stmt_5, negated_conjecture,
% 1.28/0.97 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.28/0.97 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 1.28/0.97 thf(zip_derived_cl43, plain,
% 1.28/0.97 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.28/0.97 | ((inverse @ sk_c2) = (sk_c9)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.28/0.97 thf(zip_derived_cl1330, plain,
% 1.28/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1252, zip_derived_cl181])).
% 1.28/0.97 thf(zip_derived_cl1706, plain,
% 1.28/0.97 ((((sk_c2) = (inverse @ sk_c9))
% 1.28/0.97 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl1330])).
% 1.28/0.97 thf(prove_this_31, conjecture,
% 1.28/0.97 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 1.28/0.97 thf(zf_stmt_6, negated_conjecture,
% 1.28/0.97 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c10 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.28/0.97 thf(zip_derived_cl33, plain,
% 1.28/0.97 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.28/0.97 | ((multiply @ sk_c2 @ sk_c9) = (sk_c10)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.28/0.97 thf(zip_derived_cl2464, plain,
% 1.28/0.97 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c10))
% 1.28/0.97 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.28/0.97 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl1706, zip_derived_cl33])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl2490, plain,
% 1.28/0.97 ((((identity) = (sk_c10))
% 1.28/0.97 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.28/0.97 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl2464, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl2491, plain,
% 1.28/0.97 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2490])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl3672, plain,
% 1.28/0.97 ((((sk_c3) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl2491, zip_derived_cl2958, zip_derived_cl1252])).
% 1.28/0.97 thf(prove_this_42, conjecture,
% 1.28/0.97 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.28/0.97 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.28/0.97 thf(zf_stmt_7, negated_conjecture,
% 1.28/0.97 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 1.28/0.97 thf(zip_derived_cl44, plain,
% 1.28/0.97 ((((inverse @ sk_c3) = (sk_c11)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl71, plain,
% 1.28/0.97 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.28/0.97 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl134, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl197, plain,
% 1.28/0.97 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.28/0.97 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl134])).
% 1.28/0.97 thf(prove_this_32, conjecture,
% 1.28/0.97 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 1.28/0.97 thf(zf_stmt_8, negated_conjecture,
% 1.28/0.97 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c10 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 1.28/0.97 thf(zip_derived_cl34, plain,
% 1.28/0.97 ((((inverse @ sk_c3) = (sk_c11))
% 1.28/0.97 | ((multiply @ sk_c2 @ sk_c9) = (sk_c10)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.28/0.97 thf(zip_derived_cl683, plain,
% 1.28/0.97 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.28/0.97 = (sk_c10))
% 1.28/0.97 | ((inverse @ sk_c3) = (sk_c11))
% 1.28/0.97 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl34])).
% 1.28/0.97 thf(zip_derived_cl2, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.28/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.28/0.97 inference('cnf', [status(esa)], [associativity])).
% 1.28/0.97 thf(zip_derived_cl0, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl709, plain,
% 1.28/0.97 ((((identity) = (sk_c10))
% 1.28/0.97 | ((inverse @ sk_c3) = (sk_c11))
% 1.28/0.97 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl683, zip_derived_cl2, zip_derived_cl0,
% 1.28/0.97 zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl710, plain,
% 1.28/0.97 ((((inverse @ sk_c3) = (sk_c11)) | ((identity) = (sk_c10)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl709])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl721, plain,
% 1.28/0.97 ((((multiply @ sk_c11 @ sk_c3) = (identity)) | ((identity) = (sk_c10)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl710, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl0, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.97 thf(zip_derived_cl3010, plain,
% 1.28/0.97 ((((sk_c3) = (identity)) | ((identity) = (sk_c10)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl721, zip_derived_cl2958, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl3676, plain,
% 1.28/0.97 ((((sk_c10) = (identity))
% 1.28/0.97 | ((identity) = (sk_c10))
% 1.28/0.97 | ((identity) = (sk_c10)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl3672, zip_derived_cl3010])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl3723, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X1) != (X0))
% 1.28/0.97 | ((X2) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X2))
% 1.28/0.97 | ((multiply @ X3 @ X2) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X5) != (identity))
% 1.28/0.97 | ((inverse @ X6) != (identity))
% 1.28/0.97 | ((X6) != (identity))
% 1.28/0.97 | ((inverse @ X7) != (identity))
% 1.28/0.97 | ((X7) != (identity))
% 1.28/0.97 | ((identity) != (sk_c9)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl2993, zip_derived_cl3679, zip_derived_cl1252,
% 1.28/0.97 zip_derived_cl3679, zip_derived_cl3679, zip_derived_cl1252,
% 1.28/0.97 zip_derived_cl3679, zip_derived_cl3679, zip_derived_cl3679,
% 1.28/0.97 zip_derived_cl3679, zip_derived_cl1252, zip_derived_cl3679,
% 1.28/0.97 zip_derived_cl3679, zip_derived_cl3679, zip_derived_cl1252,
% 1.28/0.97 zip_derived_cl3679])).
% 1.28/0.97 thf(prove_this_4, conjecture,
% 1.28/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) ) ))).
% 1.28/0.97 thf(zf_stmt_9, negated_conjecture,
% 1.28/0.97 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.28/0.97 thf(zip_derived_cl6, plain,
% 1.28/0.97 ((((inverse @ sk_c4) = (sk_c10))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl60, plain,
% 1.28/0.97 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl134, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.97 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.28/0.97 thf(zip_derived_cl184, plain,
% 1.28/0.97 ((((sk_c4) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl134])).
% 1.28/0.97 thf(prove_this_3, conjecture,
% 1.28/0.97 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) ) ))).
% 1.28/0.97 thf(zf_stmt_10, negated_conjecture,
% 1.28/0.97 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.28/0.97 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) )),
% 1.28/0.97 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.28/0.97 thf(zip_derived_cl5, plain,
% 1.28/0.97 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 1.28/0.97 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.28/0.97 thf(zip_derived_cl585, plain,
% 1.28/0.97 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.28/0.97 = (sk_c9))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl5])).
% 1.28/0.97 thf(zip_derived_cl2, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.28/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.28/0.97 inference('cnf', [status(esa)], [associativity])).
% 1.28/0.97 thf(zip_derived_cl0, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.97 thf(zip_derived_cl1, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.97 thf(zip_derived_cl588, plain,
% 1.28/0.97 ((((identity) = (sk_c9))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9))
% 1.28/0.97 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl585, zip_derived_cl2, zip_derived_cl0,
% 1.28/0.97 zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl589, plain,
% 1.28/0.97 ((((multiply @ sk_c10 @ sk_c11) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl588])).
% 1.28/0.97 thf(zip_derived_cl2958, plain, (((identity) = (sk_c11))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl2957])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl3006, plain,
% 1.28/0.97 ((((sk_c10) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl589, zip_derived_cl2958, zip_derived_cl1252])).
% 1.28/0.97 thf(zip_derived_cl3679, plain, (((sk_c10) = (identity))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3676])).
% 1.28/0.97 thf(zip_derived_cl3725, plain,
% 1.28/0.97 ((((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3006, zip_derived_cl3679])).
% 1.28/0.97 thf(zip_derived_cl3726, plain, (((identity) = (sk_c9))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3725])).
% 1.28/0.97 thf(zip_derived_cl3770, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X1) != (X0))
% 1.28/0.97 | ((X2) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X2))
% 1.28/0.97 | ((multiply @ X3 @ X2) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X5) != (identity))
% 1.28/0.97 | ((inverse @ X6) != (identity))
% 1.28/0.97 | ((X6) != (identity))
% 1.28/0.97 | ((inverse @ X7) != (identity))
% 1.28/0.97 | ((X7) != (identity))
% 1.28/0.97 | ((identity) != (identity)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3723, zip_derived_cl3726])).
% 1.28/0.97 thf(zip_derived_cl3771, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.28/0.97 (((X7) != (identity))
% 1.28/0.97 | ((inverse @ X7) != (identity))
% 1.28/0.97 | ((X6) != (identity))
% 1.28/0.97 | ((inverse @ X6) != (identity))
% 1.28/0.97 | ((X5) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((multiply @ X3 @ X2) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X2))
% 1.28/0.97 | ((X2) != (identity))
% 1.28/0.97 | ((inverse @ X1) != (X0))
% 1.28/0.97 | ((inverse @ X0) != (X2))
% 1.28/0.97 | ((multiply @ X1 @ X2) != (X0)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3770])).
% 1.28/0.97 thf(zip_derived_cl3772, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X5) != (identity))
% 1.28/0.97 | ((inverse @ X6) != (identity))
% 1.28/0.97 | ((X6) != (identity))
% 1.28/0.97 | ((inverse @ identity) != (identity)))),
% 1.28/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3771])).
% 1.28/0.97 thf(zip_derived_cl1239, plain, (((inverse @ identity) = (identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl3773, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X5) != (identity))
% 1.28/0.97 | ((inverse @ X6) != (identity))
% 1.28/0.97 | ((X6) != (identity))
% 1.28/0.97 | ((identity) != (identity)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3772, zip_derived_cl1239])).
% 1.28/0.97 thf(zip_derived_cl3774, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.28/0.97 (((X6) != (identity))
% 1.28/0.97 | ((inverse @ X6) != (identity))
% 1.28/0.97 | ((X5) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((multiply @ X1 @ X0) != (X2)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3773])).
% 1.28/0.97 thf(zip_derived_cl3775, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X5) != (identity))
% 1.28/0.97 | ((inverse @ identity) != (identity)))),
% 1.28/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3774])).
% 1.28/0.97 thf(zip_derived_cl1239, plain, (((inverse @ identity) = (identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl3776, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X5) != (identity))
% 1.28/0.97 | ((identity) != (identity)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3775, zip_derived_cl1239])).
% 1.28/0.97 thf(zip_derived_cl3777, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.28/0.97 (((X5) != (identity))
% 1.28/0.97 | ((inverse @ X5) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((multiply @ X1 @ X0) != (X2)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3776])).
% 1.28/0.97 thf(zip_derived_cl3778, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((inverse @ identity) != (identity)))),
% 1.28/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3777])).
% 1.28/0.97 thf(zip_derived_cl1239, plain, (((inverse @ identity) = (identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl3779, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((X4) != (identity))
% 1.28/0.97 | ((identity) != (identity)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3778, zip_derived_cl1239])).
% 1.28/0.97 thf(zip_derived_cl3780, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.28/0.97 (((X4) != (identity))
% 1.28/0.97 | ((inverse @ X4) != (identity))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((multiply @ X1 @ X0) != (X2)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3779])).
% 1.28/0.97 thf(zip_derived_cl3781, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ identity) != (identity)))),
% 1.28/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3780])).
% 1.28/0.97 thf(zip_derived_cl1239, plain, (((inverse @ identity) = (identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl3782, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.97 (((multiply @ X1 @ X0) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((identity) != (identity)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3781, zip_derived_cl1239])).
% 1.28/0.97 thf(zip_derived_cl3783, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.97 (((multiply @ X3 @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X3) != (X0))
% 1.28/0.97 | ((X0) != (identity))
% 1.28/0.97 | ((inverse @ X1) != (X2))
% 1.28/0.97 | ((inverse @ X2) != (X0))
% 1.28/0.97 | ((multiply @ X1 @ X0) != (X2)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3782])).
% 1.28/0.97 thf(zip_derived_cl3784, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.97 (((multiply @ X0 @ identity) != (X1))
% 1.28/0.97 | ((inverse @ X1) != (identity))
% 1.28/0.97 | ((inverse @ X0) != (X1))
% 1.28/0.97 | ((inverse @ X2) != (identity))
% 1.28/0.97 | ((multiply @ X2 @ identity) != (identity)))),
% 1.28/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3783])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl1252, plain,
% 1.28/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.28/0.97 thf(zip_derived_cl3785, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.97 (((X0) != (X1))
% 1.28/0.97 | ((inverse @ X1) != (identity))
% 1.28/0.97 | ((inverse @ X0) != (X1))
% 1.28/0.97 | ((inverse @ X2) != (identity))
% 1.28/0.97 | ((X2) != (identity)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3784, zip_derived_cl1252, zip_derived_cl1252])).
% 1.28/0.97 thf(zip_derived_cl3842, plain,
% 1.28/0.97 (![X0 : $i, X1 : $i]:
% 1.28/0.97 (((X0) != (identity))
% 1.28/0.97 | ((inverse @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X1) != (X1))
% 1.28/0.97 | ((inverse @ X1) != (identity)))),
% 1.28/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3785])).
% 1.28/0.97 thf(zip_derived_cl3843, plain,
% 1.28/0.97 (![X0 : $i]:
% 1.28/0.97 (((inverse @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X0) != (X0))
% 1.28/0.97 | ((inverse @ identity) != (identity)))),
% 1.28/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3842])).
% 1.28/0.97 thf(zip_derived_cl1239, plain, (((inverse @ identity) = (identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl3844, plain,
% 1.28/0.97 (![X0 : $i]:
% 1.28/0.97 (((inverse @ X0) != (identity))
% 1.28/0.97 | ((inverse @ X0) != (X0))
% 1.28/0.97 | ((identity) != (identity)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3843, zip_derived_cl1239])).
% 1.28/0.97 thf(zip_derived_cl3845, plain,
% 1.28/0.97 (![X0 : $i]: (((inverse @ X0) != (X0)) | ((inverse @ X0) != (identity)))),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3844])).
% 1.28/0.97 thf(zip_derived_cl3846, plain,
% 1.28/0.97 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 1.28/0.97 inference('sup-', [status(thm)], [zip_derived_cl1239, zip_derived_cl3845])).
% 1.28/0.97 thf(zip_derived_cl1239, plain, (((inverse @ identity) = (identity))),
% 1.28/0.97 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 1.28/0.97 thf(zip_derived_cl3851, plain,
% 1.28/0.97 ((((identity) != (identity)) | ((identity) != (identity)))),
% 1.28/0.97 inference('demod', [status(thm)],
% 1.28/0.97 [zip_derived_cl3846, zip_derived_cl1239])).
% 1.28/0.97 thf(zip_derived_cl3852, plain, ($false),
% 1.28/0.97 inference('simplify', [status(thm)], [zip_derived_cl3851])).
% 1.28/0.97
% 1.28/0.97 % SZS output end Refutation
% 1.28/0.97
% 1.28/0.97
% 1.28/0.97 % Terminating...
% 1.49/1.07 % Runner terminated.
% 1.63/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------