TSTP Solution File: GRP303-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u3QWv05dVT true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:07 EDT 2023
% Result : Unsatisfiable 0.58s 1.00s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u3QWv05dVT true
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 22:52:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.55/0.69 % Total configuration time : 435
% 0.55/0.69 % Estimated wc time : 1092
% 0.55/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.00 % Solved by fo/fo13.sh.
% 0.58/1.00 % done 643 iterations in 0.198s
% 0.58/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.00 % SZS output start Refutation
% 0.58/1.00 thf(sk_c2_type, type, sk_c2: $i).
% 0.58/1.00 thf(sk_c5_type, type, sk_c5: $i).
% 0.58/1.00 thf(sk_c1_type, type, sk_c1: $i).
% 0.58/1.00 thf(sk_c4_type, type, sk_c4: $i).
% 0.58/1.00 thf(identity_type, type, identity: $i).
% 0.58/1.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/1.00 thf(sk_c6_type, type, sk_c6: $i).
% 0.58/1.00 thf(inverse_type, type, inverse: $i > $i).
% 0.58/1.00 thf(sk_c3_type, type, sk_c3: $i).
% 0.58/1.00 thf(sk_c7_type, type, sk_c7: $i).
% 0.58/1.00 thf(prove_this_22, conjecture,
% 0.58/1.00 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.58/1.00 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.58/1.00 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.00 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.58/1.00 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ X1 ) != ( sk_c7 ) ) | ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.58/1.00 thf(zip_derived_cl24, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.58/1.00 | ((inverse @ X0) != (sk_c6))
% 0.58/1.00 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.58/1.00 | ((inverse @ X1) != (sk_c7))
% 0.58/1.00 | ((inverse @ X2) != (sk_c6))
% 0.58/1.00 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.58/1.00 | ((inverse @ X3) != (sk_c7))
% 0.58/1.00 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.58/1.00 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.58/1.00 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.00 thf(prove_this_5, conjecture, (( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ))).
% 0.58/1.00 thf(zf_stmt_1, negated_conjecture,
% 0.58/1.00 (( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl25, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.58/1.00 | ((inverse @ X0) != (sk_c6))
% 0.58/1.00 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.58/1.00 | ((inverse @ X1) != (sk_c7))
% 0.58/1.00 | ((inverse @ X2) != (sk_c6))
% 0.58/1.00 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.58/1.00 | ((inverse @ X3) != (sk_c7))
% 0.58/1.00 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.58/1.00 | ((sk_c5) != (sk_c5))
% 0.58/1.00 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl7])).
% 0.58/1.00 thf(zip_derived_cl26, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (((multiply @ sk_c7 @ sk_c6) != (sk_c5))
% 0.58/1.00 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.58/1.00 | ((inverse @ X3) != (sk_c7))
% 0.58/1.00 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.58/1.00 | ((inverse @ X2) != (sk_c6))
% 0.58/1.00 | ((inverse @ X1) != (sk_c7))
% 0.58/1.00 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.58/1.00 | ((inverse @ X0) != (sk_c6))
% 0.58/1.00 | ((multiply @ X0 @ sk_c5) != (sk_c6)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl25])).
% 0.58/1.00 thf(prove_this_20, conjecture,
% 0.58/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.58/1.00 thf(zf_stmt_2, negated_conjecture,
% 0.58/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/1.00 thf(prove_this_16, conjecture,
% 0.58/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.58/1.00 thf(zf_stmt_3, negated_conjecture,
% 0.58/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.58/1.00 thf(zip_derived_cl18, plain,
% 0.58/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.00 thf(prove_this_21, conjecture,
% 0.58/1.00 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.58/1.00 thf(zf_stmt_4, negated_conjecture,
% 0.58/1.00 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.58/1.00 thf(zip_derived_cl23, plain,
% 0.58/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/1.00 thf(prove_this_17, conjecture,
% 0.58/1.00 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.58/1.00 thf(zf_stmt_5, negated_conjecture,
% 0.58/1.00 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.58/1.00 thf(zip_derived_cl19, plain,
% 0.58/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.58/1.00 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.58/1.00 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(associativity, axiom,
% 0.58/1.00 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.58/1.00 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.58/1.00 thf(zip_derived_cl2, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.58/1.00 thf(zip_derived_cl40, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((multiply @ identity @ X0)
% 0.58/1.00 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.58/1.00 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl159, plain,
% 0.58/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ sk_c2) @ sk_c7)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl499, plain,
% 0.58/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.58/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.58/1.00 | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl159])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl503, plain,
% 0.58/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.58/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.58/1.00 | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl499, zip_derived_cl7])).
% 0.58/1.00 thf(zip_derived_cl504, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl503])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl524, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl504, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl528, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c4)) @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl561, plain,
% 0.58/1.00 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl528])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl138, plain,
% 0.58/1.00 (((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl566, plain,
% 0.58/1.00 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl561, zip_derived_cl138])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl592, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ sk_c2) @ sk_c7)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl566, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl619, plain,
% 0.58/1.00 ((((inverse @ sk_c4) = (sk_c6))
% 0.58/1.00 | ((sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl592])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl625, plain,
% 0.58/1.00 ((((inverse @ sk_c4) = (sk_c6))
% 0.58/1.00 | ((sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl619, zip_derived_cl7])).
% 0.58/1.00 thf(zip_derived_cl626, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c7))
% 0.58/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl625])).
% 0.58/1.00 thf(zip_derived_cl528, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c4)) @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl648, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl626, zip_derived_cl528])).
% 0.58/1.00 thf(zip_derived_cl138, plain,
% 0.58/1.00 (((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl650, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl648, zip_derived_cl138])).
% 0.58/1.00 thf(zip_derived_cl651, plain, ((((sk_c6) = (sk_c5)) | ((sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl650])).
% 0.58/1.00 thf(zip_derived_cl138, plain,
% 0.58/1.00 (((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl660, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl651, zip_derived_cl138])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl670, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c7)) | ((sk_c7) = (identity)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl660, zip_derived_cl1])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl674, plain,
% 0.58/1.00 ((((sk_c7) = (identity)) | ((multiply @ sk_c7 @ sk_c7) = (sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl670, zip_derived_cl7])).
% 0.58/1.00 thf(prove_this_19, conjecture,
% 0.58/1.00 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.58/1.00 thf(zf_stmt_6, negated_conjecture,
% 0.58/1.00 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.58/1.00 thf(zip_derived_cl21, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.58/1.00 thf(prove_this_15, conjecture,
% 0.58/1.00 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.58/1.00 thf(zf_stmt_7, negated_conjecture,
% 0.58/1.00 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.58/1.00 thf(zip_derived_cl17, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl158, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ sk_c2) @ sk_c7)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl317, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl158])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl321, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl317, zip_derived_cl7])).
% 0.58/1.00 thf(zip_derived_cl322, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl321])).
% 0.58/1.00 thf(prove_this_14, conjecture,
% 0.58/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.58/1.00 thf(zf_stmt_8, negated_conjecture,
% 0.58/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.58/1.00 thf(zip_derived_cl16, plain,
% 0.58/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl45, plain,
% 0.58/1.00 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.58/1.00 thf(prove_this_18, conjecture,
% 0.58/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.58/1.00 thf(zf_stmt_9, negated_conjecture,
% 0.58/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.58/1.00 thf(zip_derived_cl20, plain,
% 0.58/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl176, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (((inverse @ sk_c3) = (sk_c7))
% 0.58/1.00 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl282, plain,
% 0.58/1.00 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.58/1.00 | ((inverse @ sk_c3) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl176])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl286, plain,
% 0.58/1.00 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.58/1.00 | ((inverse @ sk_c3) = (sk_c7))
% 0.58/1.00 | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl282, zip_derived_cl7])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl295, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.58/1.00 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl286, zip_derived_cl1])).
% 0.58/1.00 thf(zip_derived_cl298, plain,
% 0.58/1.00 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 0.58/1.00 thf(zip_derived_cl2, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.58/1.00 thf(zip_derived_cl299, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (((sk_c6) = (sk_c5))
% 0.58/1.00 | ((multiply @ identity @ X0)
% 0.58/1.00 = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl298, zip_derived_cl2])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl303, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (((sk_c6) = (sk_c5))
% 0.58/1.00 | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl299, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl369, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl322, zip_derived_cl303])).
% 0.58/1.00 thf(zip_derived_cl370, plain,
% 0.58/1.00 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl369])).
% 0.58/1.00 thf(zip_derived_cl814, plain,
% 0.58/1.00 ((((sk_c7) = (identity)) | ((sk_c6) = (sk_c5)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl674, zip_derived_cl370])).
% 0.58/1.00 thf(zip_derived_cl819, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5)) | ((sk_c7) = (identity)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl814])).
% 0.58/1.00 thf(zip_derived_cl138, plain,
% 0.58/1.00 (((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl829, plain,
% 0.58/1.00 ((((sk_c7) = (identity))
% 0.58/1.00 | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl819, zip_derived_cl138])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl840, plain,
% 0.58/1.00 ((((sk_c7) = (identity)) | ((sk_c7) = (identity)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl829, zip_derived_cl1])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl863, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (((sk_c6) != (sk_c5))
% 0.58/1.00 | ((multiply @ X3 @ identity) != (sk_c6))
% 0.58/1.00 | ((inverse @ X3) != (identity))
% 0.58/1.00 | ((multiply @ X2 @ sk_c6) != (identity))
% 0.58/1.00 | ((inverse @ X2) != (sk_c6))
% 0.58/1.00 | ((inverse @ X1) != (identity))
% 0.58/1.00 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (sk_c6))
% 0.58/1.00 | ((multiply @ X0 @ sk_c5) != (sk_c6)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl26, zip_derived_cl841, zip_derived_cl0,
% 0.58/1.00 zip_derived_cl841, zip_derived_cl841, zip_derived_cl841,
% 0.58/1.00 zip_derived_cl841, zip_derived_cl841])).
% 0.58/1.00 thf(prove_this_10, conjecture,
% 0.58/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.58/1.00 thf(zf_stmt_10, negated_conjecture,
% 0.58/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.58/1.00 thf(zip_derived_cl12, plain,
% 0.58/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl27, plain,
% 0.58/1.00 ((((inverse @ sk_c3) = (sk_c7))
% 0.58/1.00 | ((multiply @ sk_c7 @ sk_c1) = (identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl49, plain,
% 0.58/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.58/1.00 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.58/1.00 thf(zip_derived_cl2, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.58/1.00 thf(zip_derived_cl74, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.58/1.00 | ((multiply @ identity @ X0)
% 0.58/1.00 = (multiply @ sk_c7 @ (multiply @ sk_c1 @ X0))))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl2])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl76, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.58/1.00 | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c1 @ X0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl967, plain,
% 0.58/1.00 (![X0 : $i]: (((sk_c3) = (identity)) | ((X0) = (multiply @ sk_c1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl76, zip_derived_cl841, zip_derived_cl0,
% 0.58/1.00 zip_derived_cl841, zip_derived_cl0])).
% 0.58/1.00 thf(prove_this_6, conjecture,
% 0.58/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.58/1.00 thf(zf_stmt_11, negated_conjecture,
% 0.58/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.58/1.00 thf(zip_derived_cl8, plain,
% 0.58/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl33, plain,
% 0.58/1.00 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.58/1.00 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl869, plain,
% 0.58/1.00 ((((multiply @ sk_c1 @ identity) = (sk_c6)) | ((sk_c3) = (identity)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl33, zip_derived_cl841, zip_derived_cl841,
% 0.58/1.00 zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl1178, plain,
% 0.58/1.00 ((((sk_c3) = (identity))
% 0.58/1.00 | ((identity) = (sk_c6))
% 0.58/1.00 | ((sk_c3) = (identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl967, zip_derived_cl869])).
% 0.58/1.00 thf(zip_derived_cl1181, plain,
% 0.58/1.00 ((((identity) = (sk_c6)) | ((sk_c3) = (identity)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1178])).
% 0.58/1.00 thf(prove_this_11, conjecture,
% 0.58/1.00 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.58/1.00 thf(zf_stmt_12, negated_conjecture,
% 0.58/1.00 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.58/1.00 thf(zip_derived_cl13, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.58/1.00 thf(prove_this_7, conjecture,
% 0.58/1.00 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.58/1.00 thf(zf_stmt_13, negated_conjecture,
% 0.58/1.00 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.58/1.00 thf(zip_derived_cl9, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl154, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c6)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl258, plain,
% 0.58/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.58/1.00 | ((sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl154])).
% 0.58/1.00 thf(zip_derived_cl261, plain,
% 0.58/1.00 ((((sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 0.58/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl258])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl914, plain,
% 0.58/1.00 ((((identity) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c6) = (identity)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl261, zip_derived_cl841, zip_derived_cl841,
% 0.58/1.00 zip_derived_cl0, zip_derived_cl841])).
% 0.58/1.00 thf(zip_derived_cl1263, plain,
% 0.58/1.00 ((((identity) = (sk_c6))
% 0.58/1.00 | ((identity) = (sk_c6))
% 0.58/1.00 | ((multiply @ identity @ sk_c6) = (identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1181, zip_derived_cl914])).
% 0.58/1.00 thf(zip_derived_cl1264, plain,
% 0.58/1.00 ((((multiply @ identity @ sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1263])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl1334, plain,
% 0.58/1.00 ((((identity) = (sk_c6))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ identity) @ identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl1264, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl1337, plain,
% 0.58/1.00 ((((identity) = (sk_c6)) | ((sk_c6) = (identity)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl1334, zip_derived_cl1])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl298, plain,
% 0.58/1.00 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl2, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.58/1.00 thf(zip_derived_cl41, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ((multiply @ sk_c5 @ X0)
% 0.58/1.00 = (multiply @ sk_c6 @ (multiply @ sk_c7 @ X0)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.58/1.00 thf(zip_derived_cl301, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((multiply @ sk_c5 @ sk_c3) = (multiply @ sk_c6 @ identity)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl298, zip_derived_cl41])).
% 0.58/1.00 thf(zip_derived_cl7, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl848, plain, (((multiply @ sk_c6 @ identity) = (sk_c5))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl841])).
% 0.58/1.00 thf(zip_derived_cl972, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c5 @ sk_c3) = (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl301, zip_derived_cl848])).
% 0.58/1.00 thf(zip_derived_cl41, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ((multiply @ sk_c5 @ X0)
% 0.58/1.00 = (multiply @ sk_c6 @ (multiply @ sk_c7 @ X0)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl873, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ sk_c5 @ X0) = (multiply @ sk_c6 @ X0))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl41, zip_derived_cl841, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl1014, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c3)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl972, zip_derived_cl873])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl1020, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c3) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl1014, zip_derived_cl43])).
% 0.58/1.00 thf(prove_this_3, conjecture,
% 0.58/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.58/1.00 thf(zf_stmt_14, negated_conjecture,
% 0.58/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.58/1.00 thf(zip_derived_cl5, plain,
% 0.58/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl846, plain,
% 0.58/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl5, zip_derived_cl841, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl528, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c4)) @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl941, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl846, zip_derived_cl528])).
% 0.58/1.00 thf(zip_derived_cl943, plain,
% 0.58/1.00 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl941])).
% 0.58/1.00 thf(zip_derived_cl1026, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5)) | ((sk_c6) = (sk_c3)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1020, zip_derived_cl943])).
% 0.58/1.00 thf(zip_derived_cl1030, plain, ((((sk_c6) = (sk_c3)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1026])).
% 0.58/1.00 thf(prove_this_1, conjecture,
% 0.58/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.58/1.00 thf(zf_stmt_15, negated_conjecture,
% 0.58/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.58/1.00 thf(zip_derived_cl3, plain,
% 0.58/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl844, plain,
% 0.58/1.00 ((((inverse @ sk_c3) = (identity)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl3, zip_derived_cl841, zip_derived_cl841,
% 0.58/1.00 zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl1032, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((inverse @ sk_c6) = (identity))
% 0.58/1.00 | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1030, zip_derived_cl844])).
% 0.58/1.00 thf(zip_derived_cl1038, plain,
% 0.58/1.00 ((((inverse @ sk_c6) = (identity)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1032])).
% 0.58/1.00 thf(zip_derived_cl1020, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c3) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl1014, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl1066, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c6) = (sk_c5))
% 0.58/1.00 | ((sk_c3) = (multiply @ identity @ sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1038, zip_derived_cl1020])).
% 0.58/1.00 thf(zip_derived_cl0, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl1069, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5)) | ((sk_c6) = (sk_c5)) | ((sk_c3) = (sk_c5)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl1066, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl1070, plain, ((((sk_c3) = (sk_c5)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1069])).
% 0.58/1.00 thf(zip_derived_cl1030, plain, ((((sk_c6) = (sk_c3)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1026])).
% 0.58/1.00 thf(zip_derived_cl1077, plain,
% 0.58/1.00 ((((sk_c6) = (sk_c5)) | ((sk_c6) = (sk_c5)) | ((sk_c6) = (sk_c5)))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1070, zip_derived_cl1030])).
% 0.58/1.00 thf(zip_derived_cl1084, plain, (((sk_c6) = (sk_c5))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1077])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl1356, plain, (((identity) = (sk_c5))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl1084, zip_derived_cl1338])).
% 0.58/1.00 thf(zip_derived_cl1, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl130, plain,
% 0.58/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl127, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl1656, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl127])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl1656, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl127])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl1656, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl127])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl1356, plain, (((identity) = (sk_c5))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl1084, zip_derived_cl1338])).
% 0.58/1.00 thf(zip_derived_cl1656, plain,
% 0.58/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl127])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl2382, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (((identity) != (identity))
% 0.58/1.00 | ((X3) != (identity))
% 0.58/1.00 | ((inverse @ X3) != (identity))
% 0.58/1.00 | ((X2) != (identity))
% 0.58/1.00 | ((inverse @ X2) != (identity))
% 0.58/1.00 | ((inverse @ X1) != (identity))
% 0.58/1.00 | ((X1) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((X0) != (identity)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl863, zip_derived_cl1338, zip_derived_cl1356,
% 0.58/1.00 zip_derived_cl1656, zip_derived_cl1338, zip_derived_cl1338,
% 0.58/1.00 zip_derived_cl1656, zip_derived_cl1338, zip_derived_cl1338,
% 0.58/1.00 zip_derived_cl1656, zip_derived_cl1338, zip_derived_cl1356,
% 0.58/1.00 zip_derived_cl1656, zip_derived_cl1338])).
% 0.58/1.00 thf(zip_derived_cl2383, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (((X0) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((X1) != (identity))
% 0.58/1.00 | ((inverse @ X1) != (identity))
% 0.58/1.00 | ((inverse @ X2) != (identity))
% 0.58/1.00 | ((X2) != (identity))
% 0.58/1.00 | ((inverse @ X3) != (identity))
% 0.58/1.00 | ((X3) != (identity)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl2382])).
% 0.58/1.00 thf(zip_derived_cl2384, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (((X0) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((X1) != (identity))
% 0.58/1.00 | ((inverse @ X1) != (identity))
% 0.58/1.00 | ((inverse @ X2) != (identity))
% 0.58/1.00 | ((X2) != (identity))
% 0.58/1.00 | ((inverse @ identity) != (identity)))),
% 0.58/1.00 inference('eq_res', [status(thm)], [zip_derived_cl2383])).
% 0.58/1.00 thf(zip_derived_cl138, plain,
% 0.58/1.00 (((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl182, plain,
% 0.58/1.00 (((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c6)) @ sk_c7))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl43, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.58/1.00 thf(zip_derived_cl184, plain,
% 0.58/1.00 (((sk_c7)
% 0.58/1.00 = (multiply @ (inverse @ (inverse @ (inverse @ sk_c6))) @ sk_c5))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl841, plain, (((sk_c7) = (identity))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 0.58/1.00 thf(zip_derived_cl910, plain,
% 0.58/1.00 (((identity)
% 0.58/1.00 = (multiply @ (inverse @ (inverse @ (inverse @ sk_c6))) @ sk_c5))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl841])).
% 0.58/1.00 thf(zip_derived_cl1338, plain, (((identity) = (sk_c6))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 0.58/1.00 thf(zip_derived_cl1356, plain, (((identity) = (sk_c5))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl1084, zip_derived_cl1338])).
% 0.58/1.00 thf(zip_derived_cl1395, plain,
% 0.58/1.00 (((identity)
% 0.58/1.00 = (multiply @ (inverse @ (inverse @ (inverse @ identity))) @ identity))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl910, zip_derived_cl1338, zip_derived_cl1356])).
% 0.58/1.00 thf(zip_derived_cl130, plain,
% 0.58/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl43])).
% 0.58/1.00 thf(zip_derived_cl1657, plain, (((inverse @ identity) = (identity))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1395, zip_derived_cl130])).
% 0.58/1.00 thf(zip_derived_cl2385, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (((X0) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((X1) != (identity))
% 0.58/1.00 | ((inverse @ X1) != (identity))
% 0.58/1.00 | ((inverse @ X2) != (identity))
% 0.58/1.00 | ((X2) != (identity))
% 0.58/1.00 | ((identity) != (identity)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl2384, zip_derived_cl1657])).
% 0.58/1.00 thf(zip_derived_cl2386, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (((X2) != (identity))
% 0.58/1.00 | ((inverse @ X2) != (identity))
% 0.58/1.00 | ((inverse @ X1) != (identity))
% 0.58/1.00 | ((X1) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((X0) != (identity)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl2385])).
% 0.58/1.00 thf(zip_derived_cl2389, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 (((X0) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((X1) != (identity))
% 0.58/1.00 | ((inverse @ X1) != (identity))
% 0.58/1.00 | ((inverse @ identity) != (identity)))),
% 0.58/1.00 inference('eq_res', [status(thm)], [zip_derived_cl2386])).
% 0.58/1.00 thf(zip_derived_cl1657, plain, (((inverse @ identity) = (identity))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1395, zip_derived_cl130])).
% 0.58/1.00 thf(zip_derived_cl2390, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 (((X0) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((X1) != (identity))
% 0.58/1.00 | ((inverse @ X1) != (identity))
% 0.58/1.00 | ((identity) != (identity)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl2389, zip_derived_cl1657])).
% 0.58/1.00 thf(zip_derived_cl2391, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 (((inverse @ X1) != (identity))
% 0.58/1.00 | ((X1) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((X0) != (identity)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl2390])).
% 0.58/1.00 thf(zip_derived_cl2411, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (((X0) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((inverse @ identity) != (identity)))),
% 0.58/1.00 inference('eq_res', [status(thm)], [zip_derived_cl2391])).
% 0.58/1.00 thf(zip_derived_cl1657, plain, (((inverse @ identity) = (identity))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1395, zip_derived_cl130])).
% 0.58/1.00 thf(zip_derived_cl2412, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (((X0) != (identity))
% 0.58/1.00 | ((inverse @ X0) != (identity))
% 0.58/1.00 | ((identity) != (identity)))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl2411, zip_derived_cl1657])).
% 0.58/1.00 thf(zip_derived_cl2413, plain,
% 0.58/1.00 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl2412])).
% 0.58/1.00 thf(zip_derived_cl2414, plain, (((inverse @ identity) != (identity))),
% 0.58/1.00 inference('eq_res', [status(thm)], [zip_derived_cl2413])).
% 0.58/1.00 thf(zip_derived_cl1657, plain, (((inverse @ identity) = (identity))),
% 0.58/1.00 inference('s_sup+', [status(thm)],
% 0.58/1.00 [zip_derived_cl1395, zip_derived_cl130])).
% 0.58/1.00 thf(zip_derived_cl2415, plain, (((identity) != (identity))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl2414, zip_derived_cl1657])).
% 0.58/1.00 thf(zip_derived_cl2416, plain, ($false),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl2415])).
% 0.58/1.00
% 0.58/1.00 % SZS output end Refutation
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 % Terminating...
% 1.65/1.08 % Runner terminated.
% 1.65/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------