TSTP Solution File: GRP230-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP230-1 : 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.zQphzLAjWy true
% Computer : n004.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 1.45s 0.88s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zQphzLAjWy true
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 01:17:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % 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
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.45/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.45/0.88 % Solved by fo/fo7.sh.
% 1.45/0.88 % done 171 iterations in 0.079s
% 1.45/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.45/0.88 % SZS output start Refutation
% 1.45/0.88 thf(sk_c5_type, type, sk_c5: $i).
% 1.45/0.88 thf(sk_c3_type, type, sk_c3: $i).
% 1.45/0.88 thf(sk_c6_type, type, sk_c6: $i).
% 1.45/0.88 thf(sk_c7_type, type, sk_c7: $i).
% 1.45/0.88 thf(identity_type, type, identity: $i).
% 1.45/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.45/0.88 thf(sk_c8_type, type, sk_c8: $i).
% 1.45/0.88 thf(inverse_type, type, inverse: $i > $i).
% 1.45/0.88 thf(sk_c4_type, type, sk_c4: $i).
% 1.45/0.88 thf(sk_c2_type, type, sk_c2: $i).
% 1.45/0.88 thf(sk_c1_type, type, sk_c1: $i).
% 1.45/0.88 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(associativity, axiom,
% 1.45/0.88 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.45/0.88 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.45/0.88 thf(zip_derived_cl2, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.45/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.45/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.45/0.88 thf(zip_derived_cl60, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((multiply @ identity @ X0)
% 1.45/0.88 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.88 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.45/0.88 thf(zip_derived_cl0, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl90, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl87, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl90, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl487, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl462, zip_derived_cl90])).
% 1.45/0.88 thf(prove_this_25, conjecture,
% 1.45/0.88 (~( ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ X2 ) != ( X1 ) ) |
% 1.45/0.88 ( ( multiply @ X2 @ X1 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ X3 ) != ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_0, negated_conjecture,
% 1.45/0.88 (( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ X2 ) != ( X1 ) ) |
% 1.45/0.88 ( ( multiply @ X2 @ X1 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ X3 ) != ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.45/0.88 thf(zip_derived_cl27, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.45/0.88 (((inverse @ X0) != (sk_c8))
% 1.45/0.88 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.45/0.88 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 1.45/0.88 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((inverse @ X3) != (X2))
% 1.45/0.88 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.45/0.88 | ((inverse @ X4) != (sk_c7))
% 1.45/0.88 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((multiply @ X5 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((inverse @ X5) != (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.45/0.88 thf(zip_derived_cl516, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.45/0.88 (((X0) != (sk_c8))
% 1.45/0.88 | ((inverse @ X1) != (sk_c8))
% 1.45/0.88 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((inverse @ X2) != (sk_c7))
% 1.45/0.88 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.45/0.88 | ((inverse @ X4) != (X3))
% 1.45/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c8 @ X5) != (sk_c7))
% 1.45/0.88 | ((multiply @ (inverse @ X0) @ sk_c8) != (X5)))),
% 1.45/0.88 inference('sup-', [status(thm)], [zip_derived_cl487, zip_derived_cl27])).
% 1.45/0.88 thf(zip_derived_cl621, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.45/0.88 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (X0))
% 1.45/0.88 | ((multiply @ sk_c8 @ X0) != (sk_c7))
% 1.45/0.88 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((inverse @ X2) != (X1))
% 1.45/0.88 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.45/0.88 | ((inverse @ X3) != (sk_c7))
% 1.45/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((inverse @ X4) != (sk_c8)))),
% 1.45/0.88 inference('eq_res', [status(thm)], [zip_derived_cl516])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl622, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.45/0.88 (((identity) != (X0))
% 1.45/0.88 | ((multiply @ sk_c8 @ X0) != (sk_c7))
% 1.45/0.88 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((inverse @ X2) != (X1))
% 1.45/0.88 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.45/0.88 | ((inverse @ X3) != (sk_c7))
% 1.45/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((inverse @ X4) != (sk_c8)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl621, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl623, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.88 (((inverse @ X0) != (sk_c8))
% 1.45/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((inverse @ X1) != (sk_c7))
% 1.45/0.88 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.45/0.88 | ((inverse @ X3) != (X2))
% 1.45/0.88 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c8 @ identity) != (sk_c7)))),
% 1.45/0.88 inference('eq_res', [status(thm)], [zip_derived_cl622])).
% 1.45/0.88 thf(zip_derived_cl624, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.88 (((inverse @ X0) != (sk_c8))
% 1.45/0.88 | ((multiply @ X0 @ (multiply @ sk_c8 @ identity)) != (sk_c8))
% 1.45/0.88 | ((multiply @ X1 @ (multiply @ sk_c8 @ identity)) != (sk_c8))
% 1.45/0.88 | ((inverse @ X1) != (multiply @ sk_c8 @ identity))
% 1.45/0.88 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.45/0.88 | ((inverse @ X3) != (X2))
% 1.45/0.88 | ((multiply @ X2 @ (multiply @ sk_c8 @ identity)) != (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c8 @ identity) != (sk_c7)))),
% 1.45/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl623])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl625, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.88 (((inverse @ X0) != (sk_c8))
% 1.45/0.88 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 1.45/0.88 | ((multiply @ X1 @ sk_c8) != (sk_c8))
% 1.45/0.88 | ((inverse @ X1) != (sk_c8))
% 1.45/0.88 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.45/0.88 | ((inverse @ X3) != (X2))
% 1.45/0.88 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 1.45/0.88 | ((sk_c8) != (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)],
% 1.45/0.88 [zip_derived_cl624, zip_derived_cl462, zip_derived_cl462,
% 1.45/0.88 zip_derived_cl462, zip_derived_cl462, zip_derived_cl462])).
% 1.45/0.88 thf(prove_this_20, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.45/0.88 thf(zf_stmt_1, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.45/0.88 thf(zip_derived_cl22, plain,
% 1.45/0.88 ((((inverse @ sk_c3) = (sk_c4)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.45/0.88 thf(prove_this_14, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_2, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.45/0.88 thf(zip_derived_cl16, plain,
% 1.45/0.88 ((((inverse @ sk_c3) = (sk_c4)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl107, plain,
% 1.45/0.88 ((((sk_c7) = (multiply @ (inverse @ sk_c2) @ sk_c8))
% 1.45/0.88 | ((inverse @ sk_c3) = (sk_c4)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl385, plain,
% 1.45/0.88 ((((sk_c7) = (multiply @ sk_c7 @ sk_c8))
% 1.45/0.88 | ((inverse @ sk_c3) = (sk_c4))
% 1.45/0.88 | ((inverse @ sk_c3) = (sk_c4)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl107])).
% 1.45/0.88 thf(zip_derived_cl394, plain,
% 1.45/0.88 ((((inverse @ sk_c3) = (sk_c4)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c8)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl385])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl440, plain,
% 1.45/0.88 ((((sk_c8) = (multiply @ (inverse @ sk_c7) @ sk_c7))
% 1.45/0.88 | ((inverse @ sk_c3) = (sk_c4)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl394, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl450, plain,
% 1.45/0.88 ((((sk_c8) = (identity)) | ((inverse @ sk_c3) = (sk_c4)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl440, zip_derived_cl1])).
% 1.45/0.88 thf(prove_this_19, conjecture,
% 1.45/0.88 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.45/0.88 thf(zf_stmt_3, negated_conjecture,
% 1.45/0.88 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.45/0.88 thf(zip_derived_cl21, plain,
% 1.45/0.88 ((((multiply @ sk_c3 @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl40, plain,
% 1.45/0.88 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.45/0.88 | ((multiply @ sk_c3 @ sk_c4) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl102, plain,
% 1.45/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.45/0.88 | ((multiply @ sk_c3 @ sk_c4) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl478, plain,
% 1.45/0.88 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c4) = (sk_c8)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl462])).
% 1.45/0.88 thf(prove_this_13, conjecture,
% 1.45/0.88 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_4, negated_conjecture,
% 1.45/0.88 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.45/0.88 thf(zip_derived_cl15, plain,
% 1.45/0.88 ((((multiply @ sk_c3 @ sk_c4) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c2 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.45/0.88 thf(zip_derived_cl713, plain,
% 1.45/0.88 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c3 @ sk_c4) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c3 @ sk_c4) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl478, zip_derived_cl15])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl732, plain,
% 1.45/0.88 ((((identity) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c3 @ sk_c4) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c3 @ sk_c4) = (sk_c8)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl713, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl733, plain,
% 1.45/0.88 ((((multiply @ sk_c3 @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl732])).
% 1.45/0.88 thf(zip_derived_cl901, plain,
% 1.45/0.88 ((((multiply @ sk_c3 @ (inverse @ sk_c3)) = (sk_c8))
% 1.45/0.88 | ((sk_c8) = (identity))
% 1.45/0.88 | ((identity) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl450, zip_derived_cl733])).
% 1.45/0.88 thf(zip_derived_cl487, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl462, zip_derived_cl90])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl515, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl904, plain,
% 1.45/0.88 ((((identity) = (sk_c8))
% 1.45/0.88 | ((sk_c8) = (identity))
% 1.45/0.88 | ((identity) = (sk_c8)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl901, zip_derived_cl515])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl956, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.88 (((inverse @ X0) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((X1) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((multiply @ X3 @ X2) != (identity))
% 1.45/0.88 | ((inverse @ X3) != (X2))
% 1.45/0.88 | ((X2) != (identity))
% 1.45/0.88 | ((identity) != (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)],
% 1.45/0.88 [zip_derived_cl625, zip_derived_cl905, zip_derived_cl905,
% 1.45/0.88 zip_derived_cl462, zip_derived_cl905, zip_derived_cl905,
% 1.45/0.88 zip_derived_cl462, zip_derived_cl905, zip_derived_cl905,
% 1.45/0.88 zip_derived_cl905, zip_derived_cl905, zip_derived_cl462,
% 1.45/0.88 zip_derived_cl905, zip_derived_cl905])).
% 1.45/0.88 thf(prove_this_12, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_5, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.45/0.88 thf(zip_derived_cl14, plain,
% 1.45/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.45/0.88 thf(zip_derived_cl487, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl462, zip_derived_cl90])).
% 1.45/0.88 thf(zip_derived_cl522, plain,
% 1.45/0.88 ((((sk_c5) = (inverse @ sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl487])).
% 1.45/0.88 thf(prove_this_11, conjecture,
% 1.45/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_6, negated_conjecture,
% 1.45/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.45/0.88 thf(zip_derived_cl13, plain,
% 1.45/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.45/0.88 thf(zip_derived_cl792, plain,
% 1.45/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl522, zip_derived_cl13])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl802, plain,
% 1.45/0.88 ((((identity) = (sk_c6))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl792, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl803, plain,
% 1.45/0.88 ((((multiply @ sk_c1 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl802])).
% 1.45/0.88 thf(prove_this_10, conjecture,
% 1.45/0.88 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_7, negated_conjecture,
% 1.45/0.88 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.45/0.88 thf(zip_derived_cl12, plain,
% 1.45/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.45/0.88 thf(zip_derived_cl814, plain,
% 1.45/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl803, zip_derived_cl12])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl817, plain,
% 1.45/0.88 ((((sk_c8) = (sk_c7))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl814, zip_derived_cl462])).
% 1.45/0.88 thf(zip_derived_cl818, plain,
% 1.45/0.88 ((((multiply @ sk_c1 @ sk_c7) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl817])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl1029, plain,
% 1.45/0.88 ((((multiply @ sk_c1 @ sk_c7) = (identity)) | ((identity) = (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)],
% 1.45/0.88 [zip_derived_cl818, zip_derived_cl905, zip_derived_cl905])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl1031, plain,
% 1.45/0.88 ((((sk_c7) = (multiply @ (inverse @ sk_c1) @ identity))
% 1.45/0.88 | ((identity) = (sk_c7)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1029, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl1038, plain,
% 1.45/0.88 ((((sk_c7) = (inverse @ sk_c1)) | ((identity) = (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl1031, zip_derived_cl462])).
% 1.45/0.88 thf(zip_derived_cl1045, plain,
% 1.45/0.88 ((((inverse @ sk_c1) != (identity)) | ((identity) = (sk_c7)))),
% 1.45/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl1038])).
% 1.45/0.88 thf(prove_this_6, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_8, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.45/0.88 thf(zip_derived_cl8, plain,
% 1.45/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl32, plain,
% 1.45/0.88 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 1.45/0.88 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl96, plain,
% 1.45/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.45/0.88 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl79])).
% 1.45/0.88 thf(prove_this_5, conjecture,
% 1.45/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_9, negated_conjecture,
% 1.45/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.45/0.88 thf(zip_derived_cl7, plain,
% 1.45/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.45/0.88 thf(zip_derived_cl138, plain,
% 1.45/0.88 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.45/0.88 = (sk_c6))
% 1.45/0.88 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.88 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl7])).
% 1.45/0.88 thf(zip_derived_cl2, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.45/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.45/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.45/0.88 thf(zip_derived_cl0, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl143, plain,
% 1.45/0.88 ((((identity) = (sk_c6))
% 1.45/0.88 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.88 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.88 inference('demod', [status(thm)],
% 1.45/0.88 [zip_derived_cl138, zip_derived_cl2, zip_derived_cl0,
% 1.45/0.88 zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl144, plain,
% 1.45/0.88 ((((inverse @ sk_c1) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 1.45/0.88 thf(prove_this_4, conjecture,
% 1.45/0.88 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.45/0.88 thf(zf_stmt_10, negated_conjecture,
% 1.45/0.88 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.45/0.88 thf(zip_derived_cl6, plain,
% 1.45/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.45/0.88 thf(zip_derived_cl148, plain,
% 1.45/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.45/0.88 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.88 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl6])).
% 1.45/0.88 thf(zip_derived_cl151, plain,
% 1.45/0.88 ((((inverse @ sk_c1) = (sk_c8))
% 1.45/0.88 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl148])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl480, plain,
% 1.45/0.88 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl462])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl905, plain, (((identity) = (sk_c8))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl904])).
% 1.45/0.88 thf(zip_derived_cl950, plain,
% 1.45/0.88 ((((inverse @ sk_c1) = (identity)) | ((identity) = (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)],
% 1.45/0.88 [zip_derived_cl480, zip_derived_cl905, zip_derived_cl905])).
% 1.45/0.88 thf(zip_derived_cl1049, plain, (((identity) = (sk_c7))),
% 1.45/0.88 inference('clc', [status(thm)], [zip_derived_cl1045, zip_derived_cl950])).
% 1.45/0.88 thf(zip_derived_cl1065, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.88 (((inverse @ X0) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((X1) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((multiply @ X3 @ X2) != (identity))
% 1.45/0.88 | ((inverse @ X3) != (X2))
% 1.45/0.88 | ((X2) != (identity))
% 1.45/0.88 | ((identity) != (identity)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl956, zip_derived_cl1049])).
% 1.45/0.88 thf(zip_derived_cl1066, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.88 (((X2) != (identity))
% 1.45/0.88 | ((inverse @ X3) != (X2))
% 1.45/0.88 | ((multiply @ X3 @ X2) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((X1) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((inverse @ X0) != (identity)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1065])).
% 1.45/0.88 thf(zip_derived_cl1074, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.88 (((inverse @ X0) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((X1) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((multiply @ X2 @ identity) != (identity))
% 1.45/0.88 | ((inverse @ X2) != (identity)))),
% 1.45/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1066])).
% 1.45/0.88 thf(zip_derived_cl462, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.45/0.88 thf(zip_derived_cl1075, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.88 (((inverse @ X0) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((X1) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((X2) != (identity))
% 1.45/0.88 | ((inverse @ X2) != (identity)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl1074, zip_derived_cl462])).
% 1.45/0.88 thf(zip_derived_cl1076, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 (((inverse @ X0) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((X1) != (identity))
% 1.45/0.88 | ((inverse @ identity) != (identity)))),
% 1.45/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1075])).
% 1.45/0.88 thf(zip_derived_cl0, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl89, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl79, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl119, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl79])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl305, plain, (((inverse @ identity) = (identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl1077, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 (((inverse @ X0) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((X1) != (identity))
% 1.45/0.88 | ((identity) != (identity)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl1076, zip_derived_cl305])).
% 1.45/0.88 thf(zip_derived_cl1078, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 (((X1) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((inverse @ X0) != (identity)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1077])).
% 1.45/0.88 thf(zip_derived_cl1079, plain,
% 1.45/0.88 (![X0 : $i]:
% 1.45/0.88 (((inverse @ X0) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((inverse @ identity) != (identity)))),
% 1.45/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1078])).
% 1.45/0.88 thf(zip_derived_cl305, plain, (((inverse @ identity) = (identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl1080, plain,
% 1.45/0.88 (![X0 : $i]:
% 1.45/0.88 (((inverse @ X0) != (identity))
% 1.45/0.88 | ((X0) != (identity))
% 1.45/0.88 | ((identity) != (identity)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl1079, zip_derived_cl305])).
% 1.45/0.88 thf(zip_derived_cl1081, plain,
% 1.45/0.88 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1080])).
% 1.45/0.88 thf(zip_derived_cl1082, plain, (((inverse @ identity) != (identity))),
% 1.45/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1081])).
% 1.45/0.88 thf(zip_derived_cl305, plain, (((inverse @ identity) = (identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl1083, plain, (((identity) != (identity))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl1082, zip_derived_cl305])).
% 1.45/0.88 thf(zip_derived_cl1084, plain, ($false),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1083])).
% 1.45/0.88
% 1.45/0.88 % SZS output end Refutation
% 1.45/0.88
% 1.45/0.88
% 1.45/0.88 % Terminating...
% 1.79/0.96 % Runner terminated.
% 1.79/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------