TSTP Solution File: GRP234-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP234-1 : 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.QwFbOUjOTG 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 0.60s 0.92s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16 % Problem : GRP234-1 : TPTP v8.1.2. Released v2.5.0.
% 0.17/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QwFbOUjOTG true
% 0.17/0.39 % Computer : n003.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Mon Aug 28 23:35:25 EDT 2023
% 0.17/0.39 % CPUTime :
% 0.17/0.39 % Running portfolio for 300 s
% 0.17/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.39 % Number of cores: 8
% 0.17/0.39 % Python version: Python 3.6.8
% 0.17/0.40 % Running in FO mode
% 0.58/0.69 % Total configuration time : 435
% 0.58/0.69 % Estimated wc time : 1092
% 0.58/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.92 % Solved by fo/fo7.sh.
% 0.60/0.92 % done 171 iterations in 0.098s
% 0.60/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.92 % SZS output start Refutation
% 0.60/0.92 thf(sk_c2_type, type, sk_c2: $i).
% 0.60/0.92 thf(sk_c3_type, type, sk_c3: $i).
% 0.60/0.92 thf(sk_c4_type, type, sk_c4: $i).
% 0.60/0.92 thf(identity_type, type, identity: $i).
% 0.60/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.60/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 0.60/0.92 thf(inverse_type, type, inverse: $i > $i).
% 0.60/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 0.60/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 0.60/0.92 thf(prove_this_21, conjecture,
% 0.60/0.92 (~( ( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ X5 @ sk_c7 ) != ( X2 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c7 @ X2 ) != ( sk_c6 ) ) |
% 0.60/0.92 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.60/0.92 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.60/0.92 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.60/0.92 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c7 ) != ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.60/0.92 (( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ X5 @ sk_c7 ) != ( X2 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c7 @ X2 ) != ( sk_c6 ) ) |
% 0.60/0.92 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.60/0.92 ( ( inverse @ X1 ) != ( sk_c7 ) ) | ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.60/0.92 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c7 ) != ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.60/0.92 thf(zip_derived_cl23, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.92 (((inverse @ X0) != (sk_c7))
% 0.60/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.60/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.60/0.92 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.60/0.92 | ((inverse @ X2) != (sk_c7))
% 0.60/0.92 | ((inverse @ X3) != (sk_c7))
% 0.60/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.60/0.92 | ((multiply @ X4 @ sk_c7) != (sk_c6))
% 0.60/0.92 | ((inverse @ sk_c7) != (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.92 thf(zip_derived_cl24, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.92 (((inverse @ X0) != (sk_c7))
% 0.60/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.60/0.92 | ((multiply @ sk_c7 @ X1) != (inverse @ sk_c7))
% 0.60/0.92 | ((multiply @ X2 @ (inverse @ sk_c7)) != (sk_c7))
% 0.60/0.92 | ((inverse @ X2) != (sk_c7))
% 0.60/0.92 | ((inverse @ X3) != (sk_c7))
% 0.60/0.92 | ((multiply @ X3 @ sk_c7) != (inverse @ sk_c7))
% 0.60/0.92 | ((multiply @ X4 @ sk_c7) != (inverse @ sk_c7))
% 0.60/0.92 | ((inverse @ sk_c7) != (sk_c6)))),
% 0.60/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl23])).
% 0.60/0.92 thf(prove_this_16, conjecture,
% 0.60/0.92 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.60/0.92 thf(zf_stmt_1, negated_conjecture,
% 0.60/0.92 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.60/0.92 thf(zip_derived_cl18, plain,
% 0.60/0.92 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl27, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.60/0.92 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(associativity, axiom,
% 0.60/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.60/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.60/0.92 thf(zip_derived_cl2, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.60/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.60/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.60/0.92 thf(zip_derived_cl35, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((multiply @ identity @ X0)
% 0.60/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.60/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.60/0.92 thf(zip_derived_cl0, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl73, plain,
% 0.60/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.60/0.92 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl56])).
% 0.60/0.92 thf(prove_this_11, conjecture,
% 0.60/0.92 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_2, negated_conjecture,
% 0.60/0.92 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.60/0.92 thf(zip_derived_cl13, plain,
% 0.60/0.92 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.60/0.92 thf(zip_derived_cl136, plain,
% 0.60/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.60/0.92 = (sk_c6))
% 0.60/0.92 | ((inverse @ sk_c3) = (sk_c7))
% 0.60/0.92 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl13])).
% 0.60/0.92 thf(zip_derived_cl2, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.60/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.60/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.60/0.92 thf(zip_derived_cl0, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl151, plain,
% 0.60/0.92 ((((identity) = (sk_c6))
% 0.60/0.92 | ((inverse @ sk_c3) = (sk_c7))
% 0.60/0.92 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.60/0.92 inference('demod', [status(thm)],
% 0.60/0.92 [zip_derived_cl136, zip_derived_cl2, zip_derived_cl0,
% 0.60/0.92 zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl152, plain,
% 0.60/0.92 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl151])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl68, plain,
% 0.60/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl56])).
% 0.60/0.92 thf(zip_derived_cl160, plain,
% 0.60/0.92 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.60/0.92 | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl68])).
% 0.60/0.92 thf(zip_derived_cl68, plain,
% 0.60/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl56])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl65, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl56])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl351, plain,
% 0.60/0.92 ((((sk_c3) = (inverse @ sk_c7)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl330])).
% 0.60/0.92 thf(prove_this_20, conjecture,
% 0.60/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.60/0.92 thf(zf_stmt_3, negated_conjecture,
% 0.60/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.60/0.92 thf(zip_derived_cl22, plain,
% 0.60/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl28, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.60/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl74, plain,
% 0.60/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.60/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl56])).
% 0.60/0.92 thf(prove_this_15, conjecture,
% 0.60/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_4, negated_conjecture,
% 0.60/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.60/0.92 thf(zip_derived_cl17, plain,
% 0.60/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.92 thf(zip_derived_cl178, plain,
% 0.60/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.60/0.92 = (sk_c6))
% 0.60/0.92 | ((inverse @ sk_c4) = (sk_c7))
% 0.60/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl17])).
% 0.60/0.92 thf(zip_derived_cl2, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.60/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.60/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.60/0.92 thf(zip_derived_cl0, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl193, plain,
% 0.60/0.92 ((((identity) = (sk_c6))
% 0.60/0.92 | ((inverse @ sk_c4) = (sk_c7))
% 0.60/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.60/0.92 inference('demod', [status(thm)],
% 0.60/0.92 [zip_derived_cl178, zip_derived_cl2, zip_derived_cl0,
% 0.60/0.92 zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl194, plain,
% 0.60/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl193])).
% 0.60/0.92 thf(zip_derived_cl68, plain,
% 0.60/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl56])).
% 0.60/0.92 thf(zip_derived_cl198, plain,
% 0.60/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.60/0.92 | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl68])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl353, plain,
% 0.60/0.92 ((((sk_c4) = (inverse @ sk_c7)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl330])).
% 0.60/0.92 thf(prove_this_19, conjecture,
% 0.60/0.92 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.60/0.92 thf(zf_stmt_5, negated_conjecture,
% 0.60/0.92 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.60/0.92 thf(zip_derived_cl21, plain,
% 0.60/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl68, plain,
% 0.60/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl56])).
% 0.60/0.92 thf(zip_derived_cl359, plain,
% 0.60/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl330, zip_derived_cl68])).
% 0.60/0.92 thf(zip_derived_cl376, plain,
% 0.60/0.92 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl359])).
% 0.60/0.92 thf(prove_this_14, conjecture,
% 0.60/0.92 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_6, negated_conjecture,
% 0.60/0.92 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.60/0.92 thf(zip_derived_cl16, plain,
% 0.60/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.60/0.92 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.60/0.92 thf(zip_derived_cl599, plain,
% 0.60/0.92 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.60/0.92 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl376, zip_derived_cl16])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl614, plain,
% 0.60/0.92 ((((identity) = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.60/0.92 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl599, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl615, plain,
% 0.60/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl614])).
% 0.60/0.92 thf(zip_derived_cl655, plain,
% 0.60/0.92 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c5))
% 0.60/0.92 | ((identity) = (sk_c6))
% 0.60/0.92 | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl353, zip_derived_cl615])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl657, plain,
% 0.60/0.92 ((((identity) = (sk_c5))
% 0.60/0.92 | ((identity) = (sk_c6))
% 0.60/0.92 | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl655, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl658, plain,
% 0.60/0.92 ((((identity) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl657])).
% 0.60/0.92 thf(prove_this_18, conjecture,
% 0.60/0.92 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.60/0.92 thf(zf_stmt_7, negated_conjecture,
% 0.60/0.92 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.60/0.92 thf(zip_derived_cl20, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl30, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.60/0.92 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl76, plain,
% 0.60/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.60/0.92 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl56])).
% 0.60/0.92 thf(prove_this_13, conjecture,
% 0.60/0.92 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_8, negated_conjecture,
% 0.60/0.92 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.60/0.92 thf(zip_derived_cl15, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.60/0.92 thf(zip_derived_cl296, plain,
% 0.60/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.60/0.92 = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl15])).
% 0.60/0.92 thf(zip_derived_cl2, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.60/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.60/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.60/0.92 thf(zip_derived_cl0, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl311, plain,
% 0.60/0.92 ((((identity) = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.60/0.92 inference('demod', [status(thm)],
% 0.60/0.92 [zip_derived_cl296, zip_derived_cl2, zip_derived_cl0,
% 0.60/0.92 zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl312, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl311])).
% 0.60/0.92 thf(zip_derived_cl662, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 0.60/0.92 | ((identity) = (sk_c6))
% 0.60/0.92 | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl658, zip_derived_cl312])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl665, plain,
% 0.60/0.92 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl662, zip_derived_cl330])).
% 0.60/0.92 thf(zip_derived_cl666, plain,
% 0.60/0.92 ((((identity) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 0.60/0.92 thf(prove_this_17, conjecture,
% 0.60/0.92 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.60/0.92 thf(zf_stmt_9, negated_conjecture,
% 0.60/0.92 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.60/0.92 thf(zip_derived_cl19, plain,
% 0.60/0.92 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl29, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.60/0.92 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl75, plain,
% 0.60/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.60/0.92 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl56])).
% 0.60/0.92 thf(prove_this_12, conjecture,
% 0.60/0.92 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_10, negated_conjecture,
% 0.60/0.92 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.60/0.92 thf(zip_derived_cl14, plain,
% 0.60/0.92 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.60/0.92 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.60/0.92 thf(zip_derived_cl245, plain,
% 0.60/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.60/0.92 = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.60/0.92 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl14])).
% 0.60/0.92 thf(zip_derived_cl2, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.60/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.60/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.60/0.92 thf(zip_derived_cl0, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl260, plain,
% 0.60/0.92 ((((identity) = (sk_c6))
% 0.60/0.92 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.60/0.92 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.60/0.92 inference('demod', [status(thm)],
% 0.60/0.92 [zip_derived_cl245, zip_derived_cl2, zip_derived_cl0,
% 0.60/0.92 zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl261, plain,
% 0.60/0.92 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl260])).
% 0.60/0.92 thf(zip_derived_cl671, plain,
% 0.60/0.92 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 0.60/0.92 | ((identity) = (sk_c6))
% 0.60/0.92 | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl666, zip_derived_cl261])).
% 0.60/0.92 thf(zip_derived_cl676, plain,
% 0.60/0.92 ((((identity) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c7)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl671])).
% 0.60/0.92 thf(zip_derived_cl731, plain,
% 0.60/0.92 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 0.60/0.92 | ((identity) = (sk_c6))
% 0.60/0.92 | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl676])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl733, plain,
% 0.60/0.92 ((((identity) = (sk_c7))
% 0.60/0.92 | ((identity) = (sk_c6))
% 0.60/0.92 | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl731, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl734, plain,
% 0.60/0.92 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl733])).
% 0.60/0.92 thf(zip_derived_cl666, plain,
% 0.60/0.92 ((((identity) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 0.60/0.92 thf(zip_derived_cl674, plain,
% 0.60/0.92 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 0.60/0.92 inference('eq_fact', [status(thm)], [zip_derived_cl666])).
% 0.60/0.92 thf(zip_derived_cl736, plain, (((identity) = (sk_c6))),
% 0.60/0.92 inference('clc', [status(thm)], [zip_derived_cl734, zip_derived_cl674])).
% 0.60/0.92 thf(zip_derived_cl754, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.92 (((inverse @ X0) != (sk_c7))
% 0.60/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.60/0.92 | ((multiply @ sk_c7 @ X1) != (inverse @ sk_c7))
% 0.60/0.92 | ((multiply @ X2 @ (inverse @ sk_c7)) != (sk_c7))
% 0.60/0.92 | ((inverse @ X2) != (sk_c7))
% 0.60/0.92 | ((inverse @ X3) != (sk_c7))
% 0.60/0.92 | ((multiply @ X3 @ sk_c7) != (inverse @ sk_c7))
% 0.60/0.92 | ((multiply @ X4 @ sk_c7) != (inverse @ sk_c7))
% 0.60/0.92 | ((inverse @ sk_c7) != (identity)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl736])).
% 0.60/0.92 thf(zip_derived_cl755, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.92 (((inverse @ X0) != (sk_c7))
% 0.60/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.60/0.92 | ((multiply @ sk_c7 @ X1) != (identity))
% 0.60/0.92 | ((multiply @ X2 @ identity) != (sk_c7))
% 0.60/0.92 | ((inverse @ X2) != (sk_c7))
% 0.60/0.92 | ((inverse @ X3) != (sk_c7))
% 0.60/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.60/0.92 | ((multiply @ X4 @ sk_c7) != (identity))
% 0.60/0.92 | ((inverse @ sk_c7) != (identity)))),
% 0.60/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl754])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl756, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.92 (((inverse @ X0) != (sk_c7))
% 0.60/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.60/0.92 | ((multiply @ sk_c7 @ X1) != (identity))
% 0.60/0.92 | ((X2) != (sk_c7))
% 0.60/0.92 | ((inverse @ X2) != (sk_c7))
% 0.60/0.92 | ((inverse @ X3) != (sk_c7))
% 0.60/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.60/0.92 | ((multiply @ X4 @ sk_c7) != (identity))
% 0.60/0.92 | ((inverse @ sk_c7) != (identity)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl755, zip_derived_cl330])).
% 0.60/0.92 thf(prove_this_5, conjecture,
% 0.60/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_11, negated_conjecture,
% 0.60/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.60/0.92 thf(zip_derived_cl7, plain,
% 0.60/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl26, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 0.60/0.92 | ((inverse @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl72, plain,
% 0.60/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.60/0.92 | ((inverse @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl56])).
% 0.60/0.92 thf(prove_this_4, conjecture,
% 0.60/0.92 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_12, negated_conjecture,
% 0.60/0.92 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.60/0.92 thf(zip_derived_cl6, plain,
% 0.60/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.60/0.92 thf(zip_derived_cl108, plain,
% 0.60/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.60/0.92 = (sk_c5))
% 0.60/0.92 | ((inverse @ sk_c7) = (sk_c6))
% 0.60/0.92 | ((inverse @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl6])).
% 0.60/0.92 thf(zip_derived_cl2, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.60/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.60/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.60/0.92 thf(zip_derived_cl0, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl111, plain,
% 0.60/0.92 ((((identity) = (sk_c5))
% 0.60/0.92 | ((inverse @ sk_c7) = (sk_c6))
% 0.60/0.92 | ((inverse @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('demod', [status(thm)],
% 0.60/0.92 [zip_derived_cl108, zip_derived_cl2, zip_derived_cl0,
% 0.60/0.92 zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl112, plain,
% 0.60/0.92 ((((inverse @ sk_c7) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl111])).
% 0.60/0.92 thf(zip_derived_cl736, plain, (((identity) = (sk_c6))),
% 0.60/0.92 inference('clc', [status(thm)], [zip_derived_cl734, zip_derived_cl674])).
% 0.60/0.92 thf(zip_derived_cl763, plain,
% 0.60/0.92 ((((inverse @ sk_c7) = (identity)) | ((identity) = (sk_c5)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl736])).
% 0.60/0.92 thf(prove_this_3, conjecture,
% 0.60/0.92 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.60/0.92 thf(zf_stmt_13, negated_conjecture,
% 0.60/0.92 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.60/0.92 ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 0.60/0.92 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.60/0.92 thf(zip_derived_cl5, plain,
% 0.60/0.92 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl71, plain,
% 0.60/0.92 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 0.60/0.92 | ((inverse @ sk_c7) = (sk_c6)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl56])).
% 0.60/0.92 thf(zip_derived_cl736, plain, (((identity) = (sk_c6))),
% 0.60/0.92 inference('clc', [status(thm)], [zip_derived_cl734, zip_derived_cl674])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl736, plain, (((identity) = (sk_c6))),
% 0.60/0.92 inference('clc', [status(thm)], [zip_derived_cl734, zip_derived_cl674])).
% 0.60/0.92 thf(zip_derived_cl761, plain,
% 0.60/0.92 ((((sk_c5) = (inverse @ sk_c7)) | ((inverse @ sk_c7) = (identity)))),
% 0.60/0.92 inference('demod', [status(thm)],
% 0.60/0.92 [zip_derived_cl71, zip_derived_cl736, zip_derived_cl330,
% 0.60/0.92 zip_derived_cl736])).
% 0.60/0.92 thf(zip_derived_cl800, plain,
% 0.60/0.92 ((((identity) = (inverse @ sk_c7))
% 0.60/0.92 | ((inverse @ sk_c7) = (identity))
% 0.60/0.92 | ((inverse @ sk_c7) = (identity)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl763, zip_derived_cl761])).
% 0.60/0.92 thf(zip_derived_cl801, plain, (((identity) = (inverse @ sk_c7))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl800])).
% 0.60/0.92 thf(zip_derived_cl359, plain,
% 0.60/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl330, zip_derived_cl68])).
% 0.60/0.92 thf(zip_derived_cl811, plain, (((sk_c7) = (inverse @ identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl359])).
% 0.60/0.92 thf(zip_derived_cl0, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl67, plain,
% 0.60/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl56])).
% 0.60/0.92 thf(zip_derived_cl56, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 0.60/0.92 thf(zip_derived_cl98, plain,
% 0.60/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl56])).
% 0.60/0.92 thf(zip_derived_cl1, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.92 thf(zip_derived_cl220, plain, (((inverse @ identity) = (identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl0, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl330, plain,
% 0.60/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl65])).
% 0.60/0.92 thf(zip_derived_cl814, plain, (((sk_c7) = (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl220, plain, (((inverse @ identity) = (identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl842, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.92 (((inverse @ X0) != (identity))
% 0.60/0.92 | ((X0) != (X1))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((X2) != (identity))
% 0.60/0.92 | ((inverse @ X2) != (identity))
% 0.60/0.92 | ((inverse @ X3) != (identity))
% 0.60/0.92 | ((X3) != (identity))
% 0.60/0.92 | ((X4) != (identity))
% 0.60/0.92 | ((identity) != (identity)))),
% 0.60/0.92 inference('demod', [status(thm)],
% 0.60/0.92 [zip_derived_cl756, zip_derived_cl814, zip_derived_cl814,
% 0.60/0.92 zip_derived_cl330, zip_derived_cl814, zip_derived_cl0,
% 0.60/0.92 zip_derived_cl814, zip_derived_cl814, zip_derived_cl814,
% 0.60/0.92 zip_derived_cl814, zip_derived_cl330, zip_derived_cl814,
% 0.60/0.92 zip_derived_cl330, zip_derived_cl814, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl843, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.92 (((X4) != (identity))
% 0.60/0.92 | ((X3) != (identity))
% 0.60/0.92 | ((inverse @ X3) != (identity))
% 0.60/0.92 | ((inverse @ X2) != (identity))
% 0.60/0.92 | ((X2) != (identity))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((X0) != (X1))
% 0.60/0.92 | ((inverse @ X0) != (identity)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl842])).
% 0.60/0.92 thf(zip_derived_cl844, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.92 (((inverse @ X0) != (identity))
% 0.60/0.92 | ((X0) != (identity))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((inverse @ X1) != (identity))
% 0.60/0.92 | ((inverse @ X2) != (identity))
% 0.60/0.92 | ((X2) != (identity))
% 0.60/0.92 | ((X3) != (identity)))),
% 0.60/0.92 inference('eq_res', [status(thm)], [zip_derived_cl843])).
% 0.60/0.92 thf(zip_derived_cl845, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 (((X0) != (identity))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((inverse @ X1) != (identity))
% 0.60/0.92 | ((inverse @ X2) != (identity))
% 0.60/0.92 | ((X2) != (identity))
% 0.60/0.92 | ((inverse @ identity) != (identity)))),
% 0.60/0.92 inference('eq_res', [status(thm)], [zip_derived_cl844])).
% 0.60/0.92 thf(zip_derived_cl220, plain, (((inverse @ identity) = (identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl846, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 (((X0) != (identity))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((inverse @ X1) != (identity))
% 0.60/0.92 | ((inverse @ X2) != (identity))
% 0.60/0.92 | ((X2) != (identity))
% 0.60/0.92 | ((identity) != (identity)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl845, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl847, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.92 (((X2) != (identity))
% 0.60/0.92 | ((inverse @ X2) != (identity))
% 0.60/0.92 | ((inverse @ X1) != (identity))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((X0) != (identity)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl846])).
% 0.60/0.92 thf(zip_derived_cl848, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 (((X0) != (identity))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((inverse @ X1) != (identity))
% 0.60/0.92 | ((inverse @ identity) != (identity)))),
% 0.60/0.92 inference('eq_res', [status(thm)], [zip_derived_cl847])).
% 0.60/0.92 thf(zip_derived_cl220, plain, (((inverse @ identity) = (identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl849, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 (((X0) != (identity))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((inverse @ X1) != (identity))
% 0.60/0.92 | ((identity) != (identity)))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl848, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl850, plain,
% 0.60/0.92 (![X0 : $i, X1 : $i]:
% 0.60/0.92 (((inverse @ X1) != (identity))
% 0.60/0.92 | ((X1) != (identity))
% 0.60/0.92 | ((X0) != (identity)))),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl849])).
% 0.60/0.92 thf(zip_derived_cl851, plain,
% 0.60/0.92 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.60/0.92 inference('condensation', [status(thm)], [zip_derived_cl850])).
% 0.60/0.92 thf(zip_derived_cl852, plain, (((inverse @ identity) != (identity))),
% 0.60/0.92 inference('eq_res', [status(thm)], [zip_derived_cl851])).
% 0.60/0.92 thf(zip_derived_cl220, plain, (((inverse @ identity) = (identity))),
% 0.60/0.92 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 0.60/0.92 thf(zip_derived_cl853, plain, (((identity) != (identity))),
% 0.60/0.92 inference('demod', [status(thm)], [zip_derived_cl852, zip_derived_cl220])).
% 0.60/0.92 thf(zip_derived_cl854, plain, ($false),
% 0.60/0.92 inference('simplify', [status(thm)], [zip_derived_cl853])).
% 0.60/0.92
% 0.60/0.92 % SZS output end Refutation
% 0.60/0.92
% 0.60/0.92
% 0.60/0.92 % Terminating...
% 1.60/1.10 % Runner terminated.
% 1.60/1.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------