TSTP Solution File: GRP237-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP237-1 : 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.vb0hzq5Qj8 true
% Computer : n003.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 01:50:50 EDT 2023
% Result : Unsatisfiable 0.54s 0.89s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP237-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vb0hzq5Qj8 true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 02:33:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.89 % Solved by fo/fo7.sh.
% 0.54/0.89 % done 456 iterations in 0.138s
% 0.54/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.89 % SZS output start Refutation
% 0.54/0.89 thf(sk_c1_type, type, sk_c1: $i).
% 0.54/0.89 thf(sk_c4_type, type, sk_c4: $i).
% 0.54/0.89 thf(sk_c2_type, type, sk_c2: $i).
% 0.54/0.89 thf(sk_c6_type, type, sk_c6: $i).
% 0.54/0.89 thf(sk_c7_type, type, sk_c7: $i).
% 0.54/0.89 thf(identity_type, type, identity: $i).
% 0.54/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.89 thf(sk_c8_type, type, sk_c8: $i).
% 0.54/0.89 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.89 thf(sk_c5_type, type, sk_c5: $i).
% 0.54/0.89 thf(sk_c3_type, type, sk_c3: $i).
% 0.54/0.89 thf(sk_c9_type, type, sk_c9: $i).
% 0.54/0.89 thf(prove_this_37, conjecture,
% 0.54/0.89 (~( ( ( inverse @ X7 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ X7 @ sk_c9 ) != ( X3 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ X3 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ X2 ) != ( X1 ) ) |
% 0.54/0.89 ( ( multiply @ X2 @ X1 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c9 ) != ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.89 (( ( inverse @ X7 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ X7 @ sk_c9 ) != ( X3 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ X3 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ X2 ) != ( X1 ) ) |
% 0.54/0.89 ( ( multiply @ X2 @ X1 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ X4 ) != ( sk_c9 ) ) | ( ( inverse @ sk_c9 ) != ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 0.54/0.89 thf(zip_derived_cl39, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.54/0.89 (((inverse @ X0) != (sk_c9))
% 0.54/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.54/0.89 | ((multiply @ sk_c9 @ X1) != (sk_c8))
% 0.54/0.89 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 0.54/0.89 | ((inverse @ X3) != (X2))
% 0.54/0.89 | ((multiply @ X3 @ X2) != (sk_c9))
% 0.54/0.89 | ((inverse @ X4) != (sk_c9))
% 0.54/0.89 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.54/0.89 | ((multiply @ sk_c9 @ X5) != (sk_c8))
% 0.54/0.89 | ((multiply @ X6 @ sk_c8) != (sk_c9))
% 0.54/0.89 | ((inverse @ X6) != (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c9) != (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl40, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.54/0.89 (((inverse @ X0) != (sk_c9))
% 0.54/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.54/0.89 | ((multiply @ sk_c9 @ X1) != (inverse @ sk_c9))
% 0.54/0.89 | ((multiply @ X2 @ (inverse @ sk_c9)) != (sk_c9))
% 0.54/0.89 | ((inverse @ X3) != (X2))
% 0.54/0.89 | ((multiply @ X3 @ X2) != (sk_c9))
% 0.54/0.89 | ((inverse @ X4) != (sk_c9))
% 0.54/0.89 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.54/0.89 | ((multiply @ sk_c9 @ X5) != (inverse @ sk_c9))
% 0.54/0.89 | ((multiply @ X6 @ (inverse @ sk_c9)) != (sk_c9))
% 0.54/0.89 | ((inverse @ X6) != (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c9) != (sk_c8)))),
% 0.54/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 0.54/0.89 thf(prove_this_36, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 0.54/0.89 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 0.54/0.89 thf(zip_derived_cl38, plain,
% 0.54/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.89 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl45, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 0.54/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(associativity, axiom,
% 0.54/0.89 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/0.89 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl61, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((multiply @ identity @ X0)
% 0.54/0.89 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.89 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl98, plain,
% 0.54/0.89 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.54/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl78])).
% 0.54/0.89 thf(prove_this_30, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 0.54/0.89 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.54/0.89 thf(zip_derived_cl32, plain,
% 0.54/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.89 thf(zip_derived_cl231, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 0.54/0.89 = (sk_c3))
% 0.54/0.89 | ((inverse @ sk_c6) = (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl32])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl241, plain,
% 0.54/0.89 ((((identity) = (sk_c3))
% 0.54/0.89 | ((inverse @ sk_c6) = (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl231, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl242, plain,
% 0.54/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((identity) = (sk_c3)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl241])).
% 0.54/0.89 thf(prove_this_24, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.54/0.89 thf(zip_derived_cl26, plain,
% 0.54/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.89 thf(zip_derived_cl246, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.54/0.89 | ((inverse @ sk_c6) = (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl242, zip_derived_cl26])).
% 0.54/0.89 thf(zip_derived_cl249, plain,
% 0.54/0.89 ((((inverse @ sk_c6) = (sk_c9))
% 0.54/0.89 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl246])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl89, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl264, plain,
% 0.54/0.89 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.54/0.89 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl89, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl86, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl478, plain,
% 0.54/0.89 ((((sk_c6) = (inverse @ sk_c9)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl264, zip_derived_cl449, zip_derived_cl449])).
% 0.54/0.89 thf(prove_this_35, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 0.54/0.89 thf(zf_stmt_4, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 0.54/0.89 thf(zip_derived_cl37, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl89, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl485, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl449, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl507, plain,
% 0.54/0.89 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl485])).
% 0.54/0.89 thf(prove_this_29, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 0.54/0.89 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.54/0.89 thf(zip_derived_cl31, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.89 thf(zip_derived_cl1018, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl31])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl1035, plain,
% 0.54/0.89 ((((identity) = (sk_c3))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1018, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1036, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c3)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1035])).
% 0.54/0.89 thf(prove_this_23, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_6, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.54/0.89 thf(zip_derived_cl25, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/0.89 thf(zip_derived_cl1100, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1036, zip_derived_cl25])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1110, plain,
% 0.54/0.89 ((((sk_c9) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1100, zip_derived_cl449])).
% 0.54/0.89 thf(zip_derived_cl1111, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1110])).
% 0.54/0.89 thf(zip_derived_cl1146, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c7))
% 0.54/0.89 | ((sk_c9) = (sk_c8))
% 0.54/0.89 | ((sk_c9) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl478, zip_derived_cl1111])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl1148, plain,
% 0.54/0.89 ((((identity) = (sk_c7)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1146, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1149, plain,
% 0.54/0.89 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1148])).
% 0.54/0.89 thf(prove_this_34, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 0.54/0.89 thf(zf_stmt_7, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 0.54/0.89 thf(zip_derived_cl36, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/0.89 thf(zip_derived_cl485, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl449, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl506, plain,
% 0.54/0.89 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl485])).
% 0.54/0.89 thf(prove_this_28, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 0.54/0.89 thf(zf_stmt_8, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.54/0.89 thf(zip_derived_cl30, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/0.89 thf(zip_derived_cl963, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl506, zip_derived_cl30])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl980, plain,
% 0.54/0.89 ((((identity) = (sk_c3))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl963, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl981, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c3)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl980])).
% 0.54/0.89 thf(prove_this_22, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_9, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.54/0.89 thf(zip_derived_cl24, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/0.89 thf(zip_derived_cl999, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl981, zip_derived_cl24])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1009, plain,
% 0.54/0.89 ((((sk_c9) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl999, zip_derived_cl449])).
% 0.54/0.89 thf(zip_derived_cl1010, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1009])).
% 0.54/0.89 thf(zip_derived_cl1153, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.54/0.89 | ((sk_c9) = (sk_c8))
% 0.54/0.89 | ((sk_c9) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl1010])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1157, plain,
% 0.54/0.89 ((((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1153, zip_derived_cl449])).
% 0.54/0.89 thf(zip_derived_cl1158, plain, (((sk_c9) = (sk_c8))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1157])).
% 0.54/0.89 thf(zip_derived_cl1184, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.54/0.89 (((inverse @ X0) != (sk_c9))
% 0.54/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.54/0.89 | ((multiply @ sk_c9 @ X1) != (inverse @ sk_c9))
% 0.54/0.89 | ((multiply @ X2 @ (inverse @ sk_c9)) != (sk_c9))
% 0.54/0.89 | ((inverse @ X3) != (X2))
% 0.54/0.89 | ((multiply @ X3 @ X2) != (sk_c9))
% 0.54/0.89 | ((inverse @ X4) != (sk_c9))
% 0.54/0.89 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.54/0.89 | ((multiply @ sk_c9 @ X5) != (inverse @ sk_c9))
% 0.54/0.89 | ((multiply @ X6 @ (inverse @ sk_c9)) != (sk_c9))
% 0.54/0.89 | ((inverse @ X6) != (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c9) != (sk_c9)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl1158])).
% 0.54/0.89 thf(zip_derived_cl1185, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.54/0.89 (((inverse @ X0) != (sk_c9))
% 0.54/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.54/0.89 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 0.54/0.89 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 0.54/0.89 | ((inverse @ X3) != (X2))
% 0.54/0.89 | ((multiply @ X3 @ X2) != (sk_c9))
% 0.54/0.89 | ((inverse @ X4) != (sk_c9))
% 0.54/0.89 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.54/0.89 | ((multiply @ sk_c9 @ X5) != (sk_c9))
% 0.54/0.89 | ((multiply @ X6 @ sk_c9) != (sk_c9))
% 0.54/0.89 | ((inverse @ X6) != (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c9) != (sk_c9)))),
% 0.54/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl1184])).
% 0.54/0.89 thf(prove_this_8, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.54/0.89 thf(zf_stmt_10, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.54/0.89 thf(zip_derived_cl10, plain,
% 0.54/0.89 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl42, plain,
% 0.54/0.89 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl93, plain,
% 0.54/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl78])).
% 0.54/0.89 thf(prove_this_14, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.54/0.89 thf(zf_stmt_11, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.54/0.89 thf(zip_derived_cl16, plain,
% 0.54/0.89 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/0.89 thf(zip_derived_cl158, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c8)
% 0.54/0.89 = (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c5))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl16])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl166, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c5))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl158, zip_derived_cl2, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl167, plain,
% 0.54/0.89 ((((inverse @ sk_c4) = (sk_c5))
% 0.54/0.89 | ((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl166])).
% 0.54/0.89 thf(zip_derived_cl1158, plain, (((sk_c9) = (sk_c8))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1157])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl1193, plain,
% 0.54/0.89 ((((inverse @ sk_c4) = (sk_c5)) | ((identity) = (sk_c9)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl167, zip_derived_cl1158, zip_derived_cl1])).
% 0.54/0.89 thf(prove_this_7, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.54/0.89 thf(zf_stmt_12, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.54/0.89 thf(zip_derived_cl9, plain,
% 0.54/0.89 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/0.89 thf(zip_derived_cl485, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl449, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl497, plain,
% 0.54/0.89 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl485])).
% 0.54/0.89 thf(prove_this_13, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.54/0.89 thf(zf_stmt_13, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.54/0.89 thf(zip_derived_cl15, plain,
% 0.54/0.89 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 0.54/0.89 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/0.89 thf(zip_derived_cl1158, plain, (((sk_c9) = (sk_c8))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1157])).
% 0.54/0.89 thf(zip_derived_cl1168, plain,
% 0.54/0.89 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 0.54/0.89 | ((multiply @ sk_c1 @ sk_c9) = (sk_c9)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl1158])).
% 0.54/0.89 thf(zip_derived_cl2126, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c9))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl497, zip_derived_cl1168])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl2132, plain,
% 0.54/0.89 ((((identity) = (sk_c9))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2126, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2133, plain,
% 0.54/0.89 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((identity) = (sk_c9)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2132])).
% 0.54/0.89 thf(zip_derived_cl2142, plain,
% 0.54/0.89 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c9))
% 0.54/0.89 | ((identity) = (sk_c9))
% 0.54/0.89 | ((identity) = (sk_c9)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl2133])).
% 0.54/0.89 thf(zip_derived_cl485, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl449, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl491, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl485, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2148, plain,
% 0.54/0.89 ((((identity) = (sk_c9))
% 0.54/0.89 | ((identity) = (sk_c9))
% 0.54/0.89 | ((identity) = (sk_c9)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2142, zip_derived_cl491])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl88, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl121, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl376, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2149, plain, (((identity) = (sk_c9))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2213, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (X1))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (X2))
% 0.54/0.89 | ((multiply @ X3 @ X2) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (identity))
% 0.54/0.89 | ((X4) != (X5))
% 0.54/0.89 | ((X5) != (identity))
% 0.54/0.89 | ((X6) != (identity))
% 0.54/0.89 | ((inverse @ X6) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl1185, zip_derived_cl2149, zip_derived_cl2149,
% 0.54/0.89 zip_derived_cl449, zip_derived_cl2149, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl2149, zip_derived_cl2149, zip_derived_cl449,
% 0.54/0.89 zip_derived_cl2149, zip_derived_cl2149, zip_derived_cl2149,
% 0.54/0.89 zip_derived_cl2149, zip_derived_cl449, zip_derived_cl2149,
% 0.54/0.89 zip_derived_cl0, zip_derived_cl2149, zip_derived_cl2149,
% 0.54/0.89 zip_derived_cl449, zip_derived_cl2149, zip_derived_cl2149,
% 0.54/0.89 zip_derived_cl2149, zip_derived_cl376, zip_derived_cl2149])).
% 0.54/0.89 thf(zip_derived_cl2214, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.54/0.89 (((inverse @ X6) != (identity))
% 0.54/0.89 | ((X6) != (identity))
% 0.54/0.89 | ((X5) != (identity))
% 0.54/0.89 | ((X4) != (X5))
% 0.54/0.89 | ((inverse @ X4) != (identity))
% 0.54/0.89 | ((multiply @ X3 @ X2) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (X2))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((X0) != (X1))
% 0.54/0.89 | ((inverse @ X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2213])).
% 0.54/0.89 thf(zip_derived_cl2239, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (X1))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (X2))
% 0.54/0.89 | ((multiply @ X3 @ X2) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (identity))
% 0.54/0.89 | ((X4) != (identity))
% 0.54/0.89 | ((X5) != (identity))
% 0.54/0.89 | ((inverse @ X5) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2214])).
% 0.54/0.89 thf(zip_derived_cl2276, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((multiply @ X3 @ X2) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (X2))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((X4) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2239])).
% 0.54/0.89 thf(zip_derived_cl2277, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (X1))
% 0.54/0.89 | ((multiply @ X2 @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((X3) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2276])).
% 0.54/0.89 thf(zip_derived_cl376, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2278, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (X1))
% 0.54/0.89 | ((multiply @ X2 @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((X3) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2277, zip_derived_cl376])).
% 0.54/0.89 thf(zip_derived_cl2279, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((X3) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((multiply @ X2 @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (X1))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2278])).
% 0.54/0.89 thf(zip_derived_cl2280, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (X1))
% 0.54/0.89 | ((multiply @ X2 @ X1) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2279])).
% 0.54/0.89 thf(zip_derived_cl376, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2281, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (X1))
% 0.54/0.89 | ((multiply @ X2 @ X1) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2280, zip_derived_cl376])).
% 0.54/0.89 thf(zip_derived_cl2282, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((multiply @ X2 @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (X1))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2281])).
% 0.54/0.89 thf(zip_derived_cl2283, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((multiply @ X1 @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2282])).
% 0.54/0.89 thf(zip_derived_cl449, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2284, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2283, zip_derived_cl449])).
% 0.54/0.89 thf(zip_derived_cl2285, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2284])).
% 0.54/0.89 thf(zip_derived_cl376, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2286, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2285, zip_derived_cl376])).
% 0.54/0.89 thf(zip_derived_cl2287, plain,
% 0.54/0.89 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2286])).
% 0.54/0.89 thf(zip_derived_cl2314, plain, (((inverse @ identity) != (identity))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2287])).
% 0.54/0.89 thf(zip_derived_cl376, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2315, plain, (((identity) != (identity))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2314, zip_derived_cl376])).
% 0.54/0.89 thf(zip_derived_cl2316, plain, ($false),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2315])).
% 0.54/0.89
% 0.54/0.89 % SZS output end Refutation
% 0.54/0.89
% 0.54/0.89
% 0.54/0.89 % Terminating...
% 0.54/0.95 % Runner terminated.
% 1.55/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------