TSTP Solution File: GRP232-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP232-1 : 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.sfUviSmCQn true
% Computer : n027.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 01:50:49 EDT 2023
% Result : Unsatisfiable 1.13s 0.85s
% Output : Refutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP232-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sfUviSmCQn true
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 00:01:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.85 % Solved by fo/fo7.sh.
% 1.13/0.85 % done 183 iterations in 0.065s
% 1.13/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.13/0.85 % SZS output start Refutation
% 1.13/0.85 thf(sk_c4_type, type, sk_c4: $i).
% 1.13/0.85 thf(sk_c1_type, type, sk_c1: $i).
% 1.13/0.85 thf(sk_c5_type, type, sk_c5: $i).
% 1.13/0.85 thf(identity_type, type, identity: $i).
% 1.13/0.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.13/0.85 thf(sk_c7_type, type, sk_c7: $i).
% 1.13/0.85 thf(inverse_type, type, inverse: $i > $i).
% 1.13/0.85 thf(sk_c6_type, type, sk_c6: $i).
% 1.13/0.85 thf(sk_c8_type, type, sk_c8: $i).
% 1.13/0.85 thf(prove_this_31, conjecture,
% 1.13/0.85 (~( ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 1.13/0.85 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.13/0.85 ( ( multiply @ X5 @ X6 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_0, negated_conjecture,
% 1.13/0.85 (( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 1.13/0.85 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.13/0.85 ( ( multiply @ X5 @ X6 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.13/0.85 thf(zip_derived_cl33, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.13/0.85 (((inverse @ X0) != (sk_c8))
% 1.13/0.85 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.13/0.85 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 1.13/0.85 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.13/0.85 | ((inverse @ X2) != (sk_c8))
% 1.13/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.13/0.85 | ((inverse @ X4) != (X3))
% 1.13/0.85 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.13/0.85 | ((inverse @ X5) != (sk_c8))
% 1.13/0.85 | ((multiply @ X5 @ sk_c8) != (sk_c7))
% 1.13/0.85 | ((inverse @ sk_c8) != (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.13/0.85 thf(zip_derived_cl34, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.13/0.85 (((inverse @ X0) != (sk_c8))
% 1.13/0.85 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.13/0.85 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 1.13/0.85 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 1.13/0.85 | ((inverse @ X2) != (sk_c8))
% 1.13/0.85 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 1.13/0.85 | ((inverse @ X4) != (X3))
% 1.13/0.85 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.13/0.85 | ((inverse @ X5) != (sk_c8))
% 1.13/0.85 | ((multiply @ X5 @ sk_c8) != (inverse @ sk_c8))
% 1.13/0.85 | ((inverse @ sk_c8) != (sk_c7)))),
% 1.13/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.13/0.85 thf(prove_this_11, conjecture,
% 1.13/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.13/0.85 thf(zf_stmt_1, negated_conjecture,
% 1.13/0.85 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.13/0.85 thf(zip_derived_cl13, plain,
% 1.13/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.13/0.85 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl37, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.13/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(associativity, axiom,
% 1.13/0.85 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.13/0.85 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.13/0.85 thf(zip_derived_cl2, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.13/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.13/0.85 inference('cnf', [status(esa)], [associativity])).
% 1.13/0.85 thf(zip_derived_cl69, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((multiply @ identity @ X0)
% 1.13/0.85 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.13/0.85 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.13/0.85 thf(zip_derived_cl0, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl100, plain,
% 1.13/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.13/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl85])).
% 1.13/0.85 thf(prove_this_6, conjecture,
% 1.13/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_2, negated_conjecture,
% 1.13/0.85 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.13/0.85 thf(zip_derived_cl8, plain,
% 1.13/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.13/0.85 thf(zip_derived_cl175, plain,
% 1.13/0.85 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.13/0.85 = (sk_c7))
% 1.13/0.85 | ((inverse @ sk_c4) = (sk_c8))
% 1.13/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl8])).
% 1.13/0.85 thf(zip_derived_cl2, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.13/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.13/0.85 inference('cnf', [status(esa)], [associativity])).
% 1.13/0.85 thf(zip_derived_cl0, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl187, plain,
% 1.13/0.85 ((((identity) = (sk_c7))
% 1.13/0.85 | ((inverse @ sk_c4) = (sk_c8))
% 1.13/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.13/0.85 inference('demod', [status(thm)],
% 1.13/0.85 [zip_derived_cl175, zip_derived_cl2, zip_derived_cl0,
% 1.13/0.85 zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl188, plain,
% 1.13/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl187])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl195, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl188, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl252, plain,
% 1.13/0.85 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.13/0.85 | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl85])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl95, plain,
% 1.13/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl92, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl85])).
% 1.13/0.85 thf(zip_derived_cl432, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.85 thf(zip_derived_cl452, plain,
% 1.13/0.85 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl252, zip_derived_cl432])).
% 1.13/0.85 thf(prove_this_15, conjecture,
% 1.13/0.85 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.13/0.85 thf(zf_stmt_3, negated_conjecture,
% 1.13/0.85 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.13/0.85 thf(zip_derived_cl17, plain,
% 1.13/0.85 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl38, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.13/0.85 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl101, plain,
% 1.13/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.13/0.85 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl85])).
% 1.13/0.85 thf(prove_this_10, conjecture,
% 1.13/0.85 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_4, negated_conjecture,
% 1.13/0.85 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.13/0.85 thf(zip_derived_cl12, plain,
% 1.13/0.85 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.13/0.85 thf(zip_derived_cl202, plain,
% 1.13/0.85 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.13/0.85 = (sk_c7))
% 1.13/0.85 | ((inverse @ sk_c5) = (sk_c8))
% 1.13/0.85 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl12])).
% 1.13/0.85 thf(zip_derived_cl2, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.13/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.13/0.85 inference('cnf', [status(esa)], [associativity])).
% 1.13/0.85 thf(zip_derived_cl0, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl214, plain,
% 1.13/0.85 ((((identity) = (sk_c7))
% 1.13/0.85 | ((inverse @ sk_c5) = (sk_c8))
% 1.13/0.85 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.13/0.85 inference('demod', [status(thm)],
% 1.13/0.85 [zip_derived_cl202, zip_derived_cl2, zip_derived_cl0,
% 1.13/0.85 zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl215, plain,
% 1.13/0.85 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl214])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl218, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ sk_c5) = (identity)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl263, plain,
% 1.13/0.85 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.13/0.85 | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl85])).
% 1.13/0.85 thf(zip_derived_cl432, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.85 thf(zip_derived_cl454, plain,
% 1.13/0.85 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl263, zip_derived_cl432])).
% 1.13/0.85 thf(prove_this_14, conjecture,
% 1.13/0.85 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.13/0.85 thf(zf_stmt_5, negated_conjecture,
% 1.13/0.85 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.13/0.85 thf(zip_derived_cl16, plain,
% 1.13/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.13/0.85 thf(zip_derived_cl432, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.85 thf(zip_derived_cl95, plain,
% 1.13/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 1.13/0.85 thf(zip_derived_cl460, plain,
% 1.13/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl432, zip_derived_cl95])).
% 1.13/0.85 thf(zip_derived_cl561, plain,
% 1.13/0.85 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl460])).
% 1.13/0.85 thf(prove_this_9, conjecture,
% 1.13/0.85 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_6, negated_conjecture,
% 1.13/0.85 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.13/0.85 thf(zip_derived_cl11, plain,
% 1.13/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.13/0.85 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.13/0.85 thf(zip_derived_cl639, plain,
% 1.13/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.13/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl561, zip_derived_cl11])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl651, plain,
% 1.13/0.85 ((((identity) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.13/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl639, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl652, plain,
% 1.13/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl651])).
% 1.13/0.85 thf(zip_derived_cl665, plain,
% 1.13/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 1.13/0.85 | ((identity) = (sk_c7))
% 1.13/0.85 | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl454, zip_derived_cl652])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl667, plain,
% 1.13/0.85 ((((identity) = (sk_c6))
% 1.13/0.85 | ((identity) = (sk_c7))
% 1.13/0.85 | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl665, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl668, plain,
% 1.13/0.85 ((((identity) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl667])).
% 1.13/0.85 thf(prove_this_13, conjecture,
% 1.13/0.85 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.13/0.85 thf(zf_stmt_7, negated_conjecture,
% 1.13/0.85 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.13/0.85 thf(zip_derived_cl15, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.13/0.85 thf(zip_derived_cl460, plain,
% 1.13/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl432, zip_derived_cl95])).
% 1.13/0.85 thf(zip_derived_cl560, plain,
% 1.13/0.85 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl460])).
% 1.13/0.85 thf(prove_this_8, conjecture,
% 1.13/0.85 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_8, negated_conjecture,
% 1.13/0.85 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.13/0.85 thf(zip_derived_cl10, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.13/0.85 thf(zip_derived_cl612, plain,
% 1.13/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl10])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl624, plain,
% 1.13/0.85 ((((identity) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl612, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl625, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl624])).
% 1.13/0.85 thf(zip_derived_cl725, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.13/0.85 | ((identity) = (sk_c7))
% 1.13/0.85 | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl668, zip_derived_cl625])).
% 1.13/0.85 thf(zip_derived_cl432, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.85 thf(zip_derived_cl727, plain,
% 1.13/0.85 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl725, zip_derived_cl432])).
% 1.13/0.85 thf(zip_derived_cl728, plain,
% 1.13/0.85 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl727])).
% 1.13/0.85 thf(prove_this_12, conjecture,
% 1.13/0.85 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.13/0.85 thf(zf_stmt_9, negated_conjecture,
% 1.13/0.85 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.13/0.85 thf(zip_derived_cl14, plain,
% 1.13/0.85 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.13/0.85 thf(zip_derived_cl460, plain,
% 1.13/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl432, zip_derived_cl95])).
% 1.13/0.85 thf(zip_derived_cl559, plain,
% 1.13/0.85 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl460])).
% 1.13/0.85 thf(prove_this_7, conjecture,
% 1.13/0.85 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_10, negated_conjecture,
% 1.13/0.85 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.13/0.85 thf(zip_derived_cl9, plain,
% 1.13/0.85 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.13/0.85 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.13/0.85 thf(zip_derived_cl585, plain,
% 1.13/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.13/0.85 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl9])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl597, plain,
% 1.13/0.85 ((((identity) = (sk_c7))
% 1.13/0.85 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.13/0.85 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl585, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl598, plain,
% 1.13/0.85 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl597])).
% 1.13/0.85 thf(zip_derived_cl737, plain,
% 1.13/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 1.13/0.85 | ((identity) = (sk_c7))
% 1.13/0.85 | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl598])).
% 1.13/0.85 thf(zip_derived_cl740, plain,
% 1.13/0.85 ((((identity) = (sk_c7)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl737])).
% 1.13/0.85 thf(zip_derived_cl783, plain,
% 1.13/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 1.13/0.85 | ((identity) = (sk_c7))
% 1.13/0.85 | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl740])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl785, plain,
% 1.13/0.85 ((((identity) = (sk_c8))
% 1.13/0.85 | ((identity) = (sk_c7))
% 1.13/0.85 | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl786, plain,
% 1.13/0.85 ((((identity) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl785])).
% 1.13/0.85 thf(zip_derived_cl728, plain,
% 1.13/0.85 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl727])).
% 1.13/0.85 thf(zip_derived_cl738, plain,
% 1.13/0.85 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 1.13/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl728])).
% 1.13/0.85 thf(zip_derived_cl788, plain, (((identity) = (sk_c7))),
% 1.13/0.85 inference('clc', [status(thm)], [zip_derived_cl786, zip_derived_cl738])).
% 1.13/0.85 thf(zip_derived_cl810, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.13/0.85 (((inverse @ X0) != (sk_c8))
% 1.13/0.85 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.13/0.85 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 1.13/0.85 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 1.13/0.85 | ((inverse @ X2) != (sk_c8))
% 1.13/0.85 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 1.13/0.85 | ((inverse @ X4) != (X3))
% 1.13/0.85 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.13/0.85 | ((inverse @ X5) != (sk_c8))
% 1.13/0.85 | ((multiply @ X5 @ sk_c8) != (inverse @ sk_c8))
% 1.13/0.85 | ((inverse @ sk_c8) != (identity)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl788])).
% 1.13/0.85 thf(zip_derived_cl811, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.13/0.85 (((inverse @ X0) != (sk_c8))
% 1.13/0.85 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.13/0.85 | ((multiply @ sk_c8 @ X1) != (identity))
% 1.13/0.85 | ((multiply @ X2 @ identity) != (sk_c8))
% 1.13/0.85 | ((inverse @ X2) != (sk_c8))
% 1.13/0.85 | ((multiply @ X3 @ identity) != (sk_c8))
% 1.13/0.85 | ((inverse @ X4) != (X3))
% 1.13/0.85 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.13/0.85 | ((inverse @ X5) != (sk_c8))
% 1.13/0.85 | ((multiply @ X5 @ sk_c8) != (identity))
% 1.13/0.85 | ((inverse @ sk_c8) != (identity)))),
% 1.13/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl810])).
% 1.13/0.85 thf(zip_derived_cl432, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.85 thf(zip_derived_cl432, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.85 thf(zip_derived_cl812, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.13/0.85 (((inverse @ X0) != (sk_c8))
% 1.13/0.85 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.13/0.85 | ((multiply @ sk_c8 @ X1) != (identity))
% 1.13/0.85 | ((X2) != (sk_c8))
% 1.13/0.85 | ((inverse @ X2) != (sk_c8))
% 1.13/0.85 | ((X3) != (sk_c8))
% 1.13/0.85 | ((inverse @ X4) != (X3))
% 1.13/0.85 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.13/0.85 | ((inverse @ X5) != (sk_c8))
% 1.13/0.85 | ((multiply @ X5 @ sk_c8) != (identity))
% 1.13/0.85 | ((inverse @ sk_c8) != (identity)))),
% 1.13/0.85 inference('demod', [status(thm)],
% 1.13/0.85 [zip_derived_cl811, zip_derived_cl432, zip_derived_cl432])).
% 1.13/0.85 thf(prove_this_5, conjecture,
% 1.13/0.85 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_11, negated_conjecture,
% 1.13/0.85 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.13/0.85 thf(zip_derived_cl7, plain,
% 1.13/0.85 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.13/0.85 thf(prove_this_4, conjecture,
% 1.13/0.85 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_12, negated_conjecture,
% 1.13/0.85 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.13/0.85 thf(zip_derived_cl6, plain,
% 1.13/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl103, plain,
% 1.13/0.85 ((((sk_c8) = (multiply @ (inverse @ sk_c5) @ sk_c6))
% 1.13/0.85 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl85])).
% 1.13/0.85 thf(zip_derived_cl335, plain,
% 1.13/0.85 ((((sk_c8) = (multiply @ sk_c8 @ sk_c6))
% 1.13/0.85 | ((inverse @ sk_c8) = (sk_c7))
% 1.13/0.85 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl103])).
% 1.13/0.85 thf(zip_derived_cl341, plain,
% 1.13/0.85 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c8) = (multiply @ sk_c8 @ sk_c6)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl335])).
% 1.13/0.85 thf(prove_this_3, conjecture,
% 1.13/0.85 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.13/0.85 thf(zf_stmt_13, negated_conjecture,
% 1.13/0.85 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.85 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 1.13/0.85 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.13/0.85 thf(zip_derived_cl5, plain,
% 1.13/0.85 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.13/0.85 thf(zip_derived_cl381, plain,
% 1.13/0.85 ((((sk_c8) = (sk_c7))
% 1.13/0.85 | ((inverse @ sk_c8) = (sk_c7))
% 1.13/0.85 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl341, zip_derived_cl5])).
% 1.13/0.85 thf(zip_derived_cl387, plain,
% 1.13/0.85 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 1.13/0.85 thf(zip_derived_cl788, plain, (((identity) = (sk_c7))),
% 1.13/0.85 inference('clc', [status(thm)], [zip_derived_cl786, zip_derived_cl738])).
% 1.13/0.85 thf(zip_derived_cl788, plain, (((identity) = (sk_c7))),
% 1.13/0.85 inference('clc', [status(thm)], [zip_derived_cl786, zip_derived_cl738])).
% 1.13/0.85 thf(zip_derived_cl821, plain,
% 1.13/0.85 ((((inverse @ sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 1.13/0.85 inference('demod', [status(thm)],
% 1.13/0.85 [zip_derived_cl387, zip_derived_cl788, zip_derived_cl788])).
% 1.13/0.85 thf(zip_derived_cl460, plain,
% 1.13/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl432, zip_derived_cl95])).
% 1.13/0.85 thf(zip_derived_cl882, plain,
% 1.13/0.85 ((((sk_c8) = (inverse @ identity)) | ((sk_c8) = (identity)))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl821, zip_derived_cl460])).
% 1.13/0.85 thf(zip_derived_cl0, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl94, plain,
% 1.13/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl85])).
% 1.13/0.85 thf(zip_derived_cl85, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i]:
% 1.13/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.13/0.85 thf(zip_derived_cl120, plain,
% 1.13/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl85])).
% 1.13/0.85 thf(zip_derived_cl1, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.85 thf(zip_derived_cl419, plain, (((inverse @ identity) = (identity))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl886, plain,
% 1.13/0.85 ((((sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 1.13/0.85 inference('demod', [status(thm)], [zip_derived_cl882, zip_derived_cl419])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl432, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl0, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl432, plain,
% 1.13/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.85 thf(zip_derived_cl887, plain, (((sk_c8) = (identity))),
% 1.13/0.85 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 1.13/0.85 thf(zip_derived_cl419, plain, (((inverse @ identity) = (identity))),
% 1.13/0.85 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 1.13/0.85 thf(zip_derived_cl922, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.13/0.85 (((inverse @ X0) != (identity))
% 1.13/0.85 | ((X0) != (X1))
% 1.13/0.85 | ((X1) != (identity))
% 1.13/0.85 | ((X2) != (identity))
% 1.13/0.85 | ((inverse @ X2) != (identity))
% 1.13/0.85 | ((X3) != (identity))
% 1.13/0.85 | ((inverse @ X4) != (X3))
% 1.13/0.85 | ((multiply @ X4 @ X3) != (identity))
% 1.13/0.85 | ((inverse @ X5) != (identity))
% 1.13/0.85 | ((X5) != (identity))
% 1.13/0.85 | ((identity) != (identity)))),
% 1.13/0.85 inference('demod', [status(thm)],
% 1.13/0.85 [zip_derived_cl812, zip_derived_cl887, zip_derived_cl887,
% 1.13/0.85 zip_derived_cl432, zip_derived_cl887, zip_derived_cl0,
% 1.13/0.85 zip_derived_cl887, zip_derived_cl887, zip_derived_cl887,
% 1.13/0.85 zip_derived_cl887, zip_derived_cl887, zip_derived_cl887,
% 1.13/0.85 zip_derived_cl432, zip_derived_cl887, zip_derived_cl419])).
% 1.13/0.85 thf(zip_derived_cl923, plain,
% 1.13/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.13/0.85 (((X5) != (identity))
% 1.13/0.85 | ((inverse @ X5) != (identity))
% 1.13/0.85 | ((multiply @ X4 @ X3) != (identity))
% 1.13/0.85 | ((inverse @ X4) != (X3))
% 1.13/0.85 | ((X3) != (identity))
% 1.13/0.86 | ((inverse @ X2) != (identity))
% 1.13/0.86 | ((X2) != (identity))
% 1.13/0.86 | ((X1) != (identity))
% 1.13/0.86 | ((X0) != (X1))
% 1.13/0.86 | ((inverse @ X0) != (identity)))),
% 1.13/0.86 inference('simplify', [status(thm)], [zip_derived_cl922])).
% 1.13/0.86 thf(zip_derived_cl924, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.13/0.86 (((inverse @ X0) != (identity))
% 1.13/0.86 | ((X0) != (identity))
% 1.13/0.86 | ((X1) != (identity))
% 1.13/0.86 | ((inverse @ X1) != (identity))
% 1.13/0.86 | ((X2) != (identity))
% 1.13/0.86 | ((inverse @ X3) != (X2))
% 1.13/0.86 | ((multiply @ X3 @ X2) != (identity))
% 1.13/0.86 | ((inverse @ X4) != (identity))
% 1.13/0.86 | ((X4) != (identity)))),
% 1.13/0.86 inference('eq_res', [status(thm)], [zip_derived_cl923])).
% 1.13/0.86 thf(zip_derived_cl925, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.86 (((X0) != (identity))
% 1.13/0.86 | ((inverse @ X0) != (identity))
% 1.13/0.86 | ((multiply @ X2 @ X1) != (identity))
% 1.13/0.86 | ((inverse @ X2) != (X1))
% 1.13/0.86 | ((X1) != (identity))
% 1.13/0.86 | ((inverse @ X3) != (identity))
% 1.13/0.86 | ((X3) != (identity))
% 1.13/0.86 | ((inverse @ identity) != (identity)))),
% 1.13/0.86 inference('eq_res', [status(thm)], [zip_derived_cl924])).
% 1.13/0.86 thf(zip_derived_cl419, plain, (((inverse @ identity) = (identity))),
% 1.13/0.86 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 1.13/0.86 thf(zip_derived_cl926, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.86 (((X0) != (identity))
% 1.13/0.86 | ((inverse @ X0) != (identity))
% 1.13/0.86 | ((multiply @ X2 @ X1) != (identity))
% 1.13/0.86 | ((inverse @ X2) != (X1))
% 1.13/0.86 | ((X1) != (identity))
% 1.13/0.86 | ((inverse @ X3) != (identity))
% 1.13/0.86 | ((X3) != (identity))
% 1.13/0.86 | ((identity) != (identity)))),
% 1.13/0.86 inference('demod', [status(thm)], [zip_derived_cl925, zip_derived_cl419])).
% 1.13/0.86 thf(zip_derived_cl927, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.86 (((X3) != (identity))
% 1.13/0.86 | ((inverse @ X3) != (identity))
% 1.13/0.86 | ((X1) != (identity))
% 1.13/0.86 | ((inverse @ X2) != (X1))
% 1.13/0.86 | ((multiply @ X2 @ X1) != (identity))
% 1.13/0.86 | ((inverse @ X0) != (identity))
% 1.13/0.86 | ((X0) != (identity)))),
% 1.13/0.86 inference('simplify', [status(thm)], [zip_derived_cl926])).
% 1.13/0.86 thf(zip_derived_cl928, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.86 (((X0) != (identity))
% 1.13/0.86 | ((inverse @ X0) != (identity))
% 1.13/0.86 | ((multiply @ X2 @ X1) != (identity))
% 1.13/0.86 | ((inverse @ X2) != (X1))
% 1.13/0.86 | ((X1) != (identity))
% 1.13/0.86 | ((inverse @ identity) != (identity)))),
% 1.13/0.86 inference('eq_res', [status(thm)], [zip_derived_cl927])).
% 1.13/0.86 thf(zip_derived_cl419, plain, (((inverse @ identity) = (identity))),
% 1.13/0.86 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 1.13/0.86 thf(zip_derived_cl929, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.86 (((X0) != (identity))
% 1.13/0.86 | ((inverse @ X0) != (identity))
% 1.13/0.86 | ((multiply @ X2 @ X1) != (identity))
% 1.13/0.86 | ((inverse @ X2) != (X1))
% 1.13/0.86 | ((X1) != (identity))
% 1.13/0.86 | ((identity) != (identity)))),
% 1.13/0.86 inference('demod', [status(thm)], [zip_derived_cl928, zip_derived_cl419])).
% 1.13/0.86 thf(zip_derived_cl930, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.86 (((X1) != (identity))
% 1.13/0.86 | ((inverse @ X2) != (X1))
% 1.13/0.86 | ((multiply @ X2 @ X1) != (identity))
% 1.13/0.86 | ((inverse @ X0) != (identity))
% 1.13/0.86 | ((X0) != (identity)))),
% 1.13/0.86 inference('simplify', [status(thm)], [zip_derived_cl929])).
% 1.13/0.86 thf(zip_derived_cl931, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i]:
% 1.13/0.86 (((X0) != (identity))
% 1.13/0.86 | ((inverse @ X0) != (identity))
% 1.13/0.86 | ((multiply @ X1 @ identity) != (identity))
% 1.13/0.86 | ((inverse @ X1) != (identity)))),
% 1.13/0.86 inference('eq_res', [status(thm)], [zip_derived_cl930])).
% 1.13/0.86 thf(zip_derived_cl432, plain,
% 1.13/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.86 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 1.13/0.86 thf(zip_derived_cl932, plain,
% 1.13/0.86 (![X0 : $i, X1 : $i]:
% 1.13/0.86 (((X0) != (identity))
% 1.13/0.86 | ((inverse @ X0) != (identity))
% 1.13/0.86 | ((X1) != (identity))
% 1.13/0.86 | ((inverse @ X1) != (identity)))),
% 1.13/0.86 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl432])).
% 1.13/0.86 thf(zip_derived_cl933, plain,
% 1.13/0.86 (![X0 : $i]:
% 1.13/0.86 (((inverse @ X0) != (identity))
% 1.13/0.86 | ((X0) != (identity))
% 1.13/0.86 | ((inverse @ identity) != (identity)))),
% 1.13/0.86 inference('eq_res', [status(thm)], [zip_derived_cl932])).
% 1.13/0.86 thf(zip_derived_cl419, plain, (((inverse @ identity) = (identity))),
% 1.13/0.86 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 1.13/0.86 thf(zip_derived_cl934, plain,
% 1.13/0.86 (![X0 : $i]:
% 1.13/0.86 (((inverse @ X0) != (identity))
% 1.13/0.86 | ((X0) != (identity))
% 1.13/0.86 | ((identity) != (identity)))),
% 1.13/0.86 inference('demod', [status(thm)], [zip_derived_cl933, zip_derived_cl419])).
% 1.13/0.86 thf(zip_derived_cl935, plain,
% 1.13/0.86 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.13/0.86 inference('simplify', [status(thm)], [zip_derived_cl934])).
% 1.13/0.86 thf(zip_derived_cl954, plain, (((inverse @ identity) != (identity))),
% 1.13/0.86 inference('eq_res', [status(thm)], [zip_derived_cl935])).
% 1.13/0.86 thf(zip_derived_cl419, plain, (((inverse @ identity) = (identity))),
% 1.13/0.86 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 1.13/0.86 thf(zip_derived_cl955, plain, (((identity) != (identity))),
% 1.13/0.86 inference('demod', [status(thm)], [zip_derived_cl954, zip_derived_cl419])).
% 1.13/0.86 thf(zip_derived_cl956, plain, ($false),
% 1.13/0.86 inference('simplify', [status(thm)], [zip_derived_cl955])).
% 1.13/0.86
% 1.13/0.86 % SZS output end Refutation
% 1.13/0.86
% 1.13/0.86
% 1.13/0.86 % Terminating...
% 1.13/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.50/0.96 % Runner terminated.
% 1.50/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------