TSTP Solution File: GRP306-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP306-1 : 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.JsTMilsoiF true
% Computer : n028.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 01:51:08 EDT 2023
% Result : Unsatisfiable 0.45s 1.20s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP306-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JsTMilsoiF true
% 0.06/0.30 % Computer : n028.cluster.edu
% 0.06/0.30 % Model : x86_64 x86_64
% 0.06/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.30 % Memory : 8042.1875MB
% 0.06/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.30 % CPULimit : 300
% 0.06/0.30 % WCLimit : 300
% 0.06/0.30 % DateTime : Mon Aug 28 22:02:55 EDT 2023
% 0.06/0.30 % CPUTime :
% 0.06/0.30 % Running portfolio for 300 s
% 0.06/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.30 % Number of cores: 8
% 0.06/0.30 % Python version: Python 3.6.8
% 0.06/0.31 % Running in FO mode
% 0.43/0.66 % Total configuration time : 435
% 0.43/0.66 % Estimated wc time : 1092
% 0.43/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.92 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.93 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.45/1.20 % Solved by fo/fo7.sh.
% 0.45/1.20 % done 243 iterations in 0.133s
% 0.45/1.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.45/1.20 % SZS output start Refutation
% 0.45/1.20 thf(sk_c1_type, type, sk_c1: $i).
% 0.45/1.20 thf(sk_c6_type, type, sk_c6: $i).
% 0.45/1.20 thf(sk_c4_type, type, sk_c4: $i).
% 0.45/1.20 thf(sk_c5_type, type, sk_c5: $i).
% 0.45/1.20 thf(identity_type, type, identity: $i).
% 0.45/1.20 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.45/1.20 thf(sk_c7_type, type, sk_c7: $i).
% 0.45/1.20 thf(inverse_type, type, inverse: $i > $i).
% 0.45/1.20 thf(sk_c3_type, type, sk_c3: $i).
% 0.45/1.20 thf(sk_c2_type, type, sk_c2: $i).
% 0.45/1.20 thf(sk_c8_type, type, sk_c8: $i).
% 0.45/1.20 thf(prove_this_22, conjecture,
% 0.45/1.20 (~( ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.45/1.20 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.45/1.20 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.45/1.20 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.45/1.20 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.45/1.20 ( ( inverse @ X3 ) != ( X4 ) ) |
% 0.45/1.20 ( ( multiply @ X3 @ X4 ) != ( sk_c8 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 0.45/1.20 thf(zf_stmt_0, negated_conjecture,
% 0.45/1.20 (( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.45/1.20 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.45/1.20 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.45/1.20 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.45/1.20 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.45/1.20 ( ( inverse @ X3 ) != ( X4 ) ) |
% 0.45/1.20 ( ( multiply @ X3 @ X4 ) != ( sk_c8 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.45/1.20 thf(zip_derived_cl24, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.45/1.20 (((inverse @ X0) != (sk_c8))
% 0.45/1.20 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.45/1.20 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 0.45/1.20 | ((inverse @ X2) != (sk_c8))
% 0.45/1.20 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 0.45/1.20 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 0.45/1.20 | ((inverse @ X4) != (X3))
% 0.45/1.20 | ((multiply @ X4 @ X3) != (sk_c8))
% 0.45/1.20 | ((inverse @ sk_c8) != (sk_c6))
% 0.45/1.20 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.45/1.20 thf(prove_this_1, conjecture, (( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ))).
% 0.45/1.20 thf(zf_stmt_1, negated_conjecture,
% 0.45/1.20 (( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.45/1.20 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c7) = (sk_c6))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.45/1.20 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c7) = (sk_c6))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.45/1.20 thf(zip_derived_cl25, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.45/1.20 (((inverse @ X0) != (sk_c8))
% 0.45/1.20 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.45/1.20 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 0.45/1.20 | ((inverse @ X2) != (sk_c8))
% 0.45/1.20 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 0.45/1.20 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 0.45/1.20 | ((inverse @ X4) != (X3))
% 0.45/1.20 | ((multiply @ X4 @ X3) != (sk_c8))
% 0.45/1.20 | ((inverse @ sk_c8) != (multiply @ sk_c8 @ sk_c7))
% 0.45/1.20 | ((multiply @ sk_c8 @ sk_c7) != (multiply @ sk_c8 @ sk_c7)))),
% 0.45/1.20 inference('demod', [status(thm)],
% 0.45/1.20 [zip_derived_cl24, zip_derived_cl3, zip_derived_cl3])).
% 0.45/1.20 thf(zip_derived_cl26, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.45/1.20 (((inverse @ sk_c8) != (multiply @ sk_c8 @ sk_c7))
% 0.45/1.20 | ((multiply @ X4 @ X3) != (sk_c8))
% 0.45/1.20 | ((inverse @ X4) != (X3))
% 0.45/1.20 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 0.45/1.20 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 0.45/1.20 | ((inverse @ X2) != (sk_c8))
% 0.45/1.20 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 0.45/1.20 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.45/1.20 | ((inverse @ X0) != (sk_c8)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl25])).
% 0.45/1.20 thf(prove_this_16, conjecture,
% 0.45/1.20 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 0.45/1.20 thf(zf_stmt_2, negated_conjecture,
% 0.45/1.20 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.45/1.20 thf(zip_derived_cl18, plain,
% 0.45/1.20 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.45/1.20 thf(prove_this_11, conjecture,
% 0.45/1.20 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.45/1.20 thf(zf_stmt_3, negated_conjecture,
% 0.45/1.20 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.45/1.20 thf(zip_derived_cl13, plain,
% 0.45/1.20 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.45/1.20 thf(zip_derived_cl44, plain,
% 0.45/1.20 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.45/1.20 | ((inverse @ sk_c4) = (sk_c8))
% 0.45/1.20 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl13])).
% 0.45/1.20 thf(zip_derived_cl45, plain,
% 0.45/1.20 ((((inverse @ sk_c4) = (sk_c8))
% 0.45/1.20 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl44])).
% 0.45/1.20 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(associativity, axiom,
% 0.45/1.20 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.45/1.20 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.45/1.20 thf(zip_derived_cl2, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/1.20 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.45/1.20 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.45/1.20 inference('cnf', [status(esa)], [associativity])).
% 0.45/1.20 thf(zip_derived_cl97, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((multiply @ identity @ X0)
% 0.45/1.20 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.45/1.20 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.45/1.20 thf(zip_derived_cl0, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_identity])).
% 0.45/1.20 thf(zip_derived_cl116, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl124, plain,
% 0.45/1.20 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl116])).
% 0.45/1.20 thf(zip_derived_cl116, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl116, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl121, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl116])).
% 0.45/1.20 thf(zip_derived_cl284, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 0.45/1.20 thf(zip_derived_cl124, plain,
% 0.45/1.20 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl116])).
% 0.45/1.20 thf(zip_derived_cl299, plain,
% 0.45/1.20 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl124])).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(zip_derived_cl304, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl380, plain,
% 0.45/1.20 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl304])).
% 0.45/1.20 thf(zip_derived_cl299, plain,
% 0.45/1.20 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl124])).
% 0.45/1.20 thf(zip_derived_cl392, plain,
% 0.45/1.20 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl380, zip_derived_cl299])).
% 0.45/1.20 thf(prove_this_15, conjecture,
% 0.45/1.20 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 0.45/1.20 thf(zf_stmt_4, negated_conjecture,
% 0.45/1.20 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.45/1.20 thf(zip_derived_cl17, plain,
% 0.45/1.20 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c2)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.45/1.20 thf(prove_this_10, conjecture,
% 0.45/1.20 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.45/1.20 thf(zf_stmt_5, negated_conjecture,
% 0.45/1.20 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.45/1.20 thf(zip_derived_cl12, plain,
% 0.45/1.20 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 0.45/1.20 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.45/1.20 thf(zip_derived_cl73, plain,
% 0.45/1.20 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.45/1.20 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 0.45/1.20 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl12])).
% 0.45/1.20 thf(zip_derived_cl75, plain,
% 0.45/1.20 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 0.45/1.20 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl73])).
% 0.45/1.20 thf(zip_derived_cl304, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl922, plain,
% 0.45/1.20 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl304])).
% 0.45/1.20 thf(zip_derived_cl929, plain,
% 0.45/1.20 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c5))
% 0.45/1.20 | ((identity) = (sk_c8))
% 0.45/1.20 | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl392, zip_derived_cl922])).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(zip_derived_cl931, plain,
% 0.45/1.20 ((((identity) = (sk_c5))
% 0.45/1.20 | ((identity) = (sk_c8))
% 0.45/1.20 | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl929, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl932, plain,
% 0.45/1.20 ((((identity) = (sk_c8)) | ((identity) = (sk_c5)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl931])).
% 0.45/1.20 thf(prove_this_14, conjecture,
% 0.45/1.20 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 0.45/1.20 thf(zf_stmt_6, negated_conjecture,
% 0.45/1.20 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.45/1.20 thf(zip_derived_cl16, plain,
% 0.45/1.20 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c2)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.45/1.20 thf(prove_this_9, conjecture,
% 0.45/1.20 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.45/1.20 thf(zf_stmt_7, negated_conjecture,
% 0.45/1.20 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.45/1.20 thf(zip_derived_cl11, plain,
% 0.45/1.20 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 0.45/1.20 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.45/1.20 thf(zip_derived_cl66, plain,
% 0.45/1.20 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.45/1.20 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 0.45/1.20 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.45/1.20 thf(zip_derived_cl69, plain,
% 0.45/1.20 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 0.45/1.20 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl66])).
% 0.45/1.20 thf(zip_derived_cl304, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl912, plain,
% 0.45/1.20 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl304])).
% 0.45/1.20 thf(zip_derived_cl937, plain,
% 0.45/1.20 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.45/1.20 | ((identity) = (sk_c8))
% 0.45/1.20 | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl932, zip_derived_cl912])).
% 0.45/1.20 thf(zip_derived_cl284, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 0.45/1.20 thf(zip_derived_cl940, plain,
% 0.45/1.20 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl937, zip_derived_cl284])).
% 0.45/1.20 thf(zip_derived_cl941, plain,
% 0.45/1.20 ((((identity) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl940])).
% 0.45/1.20 thf(prove_this_13, conjecture,
% 0.45/1.20 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 0.45/1.20 thf(zf_stmt_8, negated_conjecture,
% 0.45/1.20 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.45/1.20 thf(zip_derived_cl15, plain,
% 0.45/1.20 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.45/1.20 thf(prove_this_8, conjecture,
% 0.45/1.20 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.45/1.20 thf(zf_stmt_9, negated_conjecture,
% 0.45/1.20 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.45/1.20 thf(zip_derived_cl10, plain,
% 0.45/1.20 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.45/1.20 thf(zip_derived_cl35, plain,
% 0.45/1.20 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.45/1.20 | ((inverse @ sk_c3) = (sk_c8))
% 0.45/1.20 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 0.45/1.20 thf(zip_derived_cl39, plain,
% 0.45/1.20 ((((inverse @ sk_c3) = (sk_c8))
% 0.45/1.20 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl35])).
% 0.45/1.20 thf(zip_derived_cl116, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl132, plain,
% 0.45/1.20 ((((inverse @ sk_c1) = (multiply @ (inverse @ sk_c1) @ sk_c8))
% 0.45/1.20 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl116])).
% 0.45/1.20 thf(zip_derived_cl116, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl206, plain,
% 0.45/1.20 ((((sk_c8)
% 0.45/1.20 = (multiply @ (inverse @ (inverse @ sk_c1)) @ (inverse @ sk_c1)))
% 0.45/1.20 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl116])).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(zip_derived_cl207, plain,
% 0.45/1.20 ((((sk_c8) = (identity)) | ((inverse @ sk_c3) = (sk_c8)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl124, plain,
% 0.45/1.20 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl116])).
% 0.45/1.20 thf(zip_derived_cl209, plain,
% 0.45/1.20 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.45/1.20 | ((sk_c8) = (identity)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl124])).
% 0.45/1.20 thf(zip_derived_cl284, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 0.45/1.20 thf(zip_derived_cl293, plain,
% 0.45/1.20 ((((sk_c3) = (inverse @ sk_c8)) | ((sk_c8) = (identity)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl284])).
% 0.45/1.20 thf(prove_this_12, conjecture,
% 0.45/1.20 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 0.45/1.20 thf(zf_stmt_10, negated_conjecture,
% 0.45/1.20 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.45/1.20 thf(zip_derived_cl14, plain,
% 0.45/1.20 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c2)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.45/1.20 thf(prove_this_7, conjecture,
% 0.45/1.20 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.45/1.20 thf(zf_stmt_11, negated_conjecture,
% 0.45/1.20 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.45/1.20 thf(zip_derived_cl9, plain,
% 0.45/1.20 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.45/1.20 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.45/1.20 thf(zip_derived_cl58, plain,
% 0.45/1.20 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.45/1.20 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.45/1.20 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl9])).
% 0.45/1.20 thf(zip_derived_cl63, plain,
% 0.45/1.20 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.45/1.20 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl58])).
% 0.45/1.20 thf(zip_derived_cl304, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl679, plain,
% 0.45/1.20 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl304])).
% 0.45/1.20 thf(zip_derived_cl686, plain,
% 0.45/1.20 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.45/1.20 | ((sk_c8) = (identity))
% 0.45/1.20 | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl293, zip_derived_cl679])).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(zip_derived_cl688, plain,
% 0.45/1.20 ((((identity) = (sk_c7))
% 0.45/1.20 | ((sk_c8) = (identity))
% 0.45/1.20 | ((identity) = (sk_c8)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl686, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl689, plain,
% 0.45/1.20 ((((sk_c8) = (identity)) | ((identity) = (sk_c7)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl688])).
% 0.45/1.20 thf(zip_derived_cl957, plain,
% 0.45/1.20 ((((identity) = (sk_c8))
% 0.45/1.20 | ((identity) = (sk_c8))
% 0.45/1.20 | ((sk_c8) = (identity)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl941, zip_derived_cl689])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl0, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_identity])).
% 0.45/1.20 thf(zip_derived_cl116, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl123, plain,
% 0.45/1.20 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl116])).
% 0.45/1.20 thf(zip_derived_cl116, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl147, plain,
% 0.45/1.20 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl116])).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(zip_derived_cl192, plain, (((inverse @ identity) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl0, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_identity])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl284, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl0, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_identity])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl284, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl982, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.45/1.20 (((identity) != (sk_c7))
% 0.45/1.20 | ((multiply @ X4 @ X3) != (identity))
% 0.45/1.20 | ((inverse @ X4) != (X3))
% 0.45/1.20 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.45/1.20 | ((X2) != (sk_c7))
% 0.45/1.20 | ((inverse @ X2) != (identity))
% 0.45/1.20 | ((X1) != (sk_c7))
% 0.45/1.20 | ((X0) != (X1))
% 0.45/1.20 | ((inverse @ X0) != (identity)))),
% 0.45/1.20 inference('demod', [status(thm)],
% 0.45/1.20 [zip_derived_cl26, zip_derived_cl962, zip_derived_cl192,
% 0.45/1.20 zip_derived_cl962, zip_derived_cl0, zip_derived_cl962,
% 0.45/1.20 zip_derived_cl962, zip_derived_cl962, zip_derived_cl284,
% 0.45/1.20 zip_derived_cl962, zip_derived_cl962, zip_derived_cl0,
% 0.45/1.20 zip_derived_cl962, zip_derived_cl284, zip_derived_cl962])).
% 0.45/1.20 thf(zip_derived_cl983, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.45/1.20 (((identity) != (sk_c7))
% 0.45/1.20 | ((multiply @ X4 @ X3) != (identity))
% 0.45/1.20 | ((inverse @ X4) != (X3))
% 0.45/1.20 | ((multiply @ X3 @ identity) != (identity))
% 0.45/1.20 | ((X2) != (identity))
% 0.45/1.20 | ((inverse @ X2) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((X0) != (X1))
% 0.45/1.20 | ((inverse @ X0) != (identity)))),
% 0.45/1.20 inference('local_rewriting', [status(thm)], [zip_derived_cl982])).
% 0.45/1.20 thf(zip_derived_cl284, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 0.45/1.20 thf(zip_derived_cl984, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.45/1.20 (((identity) != (sk_c7))
% 0.45/1.20 | ((multiply @ X4 @ X3) != (identity))
% 0.45/1.20 | ((inverse @ X4) != (X3))
% 0.45/1.20 | ((X3) != (identity))
% 0.45/1.20 | ((X2) != (identity))
% 0.45/1.20 | ((inverse @ X2) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((X0) != (X1))
% 0.45/1.20 | ((inverse @ X0) != (identity)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl983, zip_derived_cl284])).
% 0.45/1.20 thf(zip_derived_cl1038, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/1.20 (((inverse @ X0) != (identity))
% 0.45/1.20 | ((X0) != (identity))
% 0.45/1.20 | ((inverse @ X1) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((X2) != (identity))
% 0.45/1.20 | ((inverse @ X3) != (X2))
% 0.45/1.20 | ((multiply @ X3 @ X2) != (identity))
% 0.45/1.20 | ((identity) != (sk_c7)))),
% 0.45/1.20 inference('eq_res', [status(thm)], [zip_derived_cl984])).
% 0.45/1.20 thf(prove_this_3, conjecture,
% 0.45/1.20 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) ))).
% 0.45/1.20 thf(zf_stmt_12, negated_conjecture,
% 0.45/1.20 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c6 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.45/1.20 thf(zip_derived_cl5, plain,
% 0.45/1.20 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c6)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.45/1.20 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c7) = (sk_c6))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.45/1.20 thf(zip_derived_cl27, plain,
% 0.45/1.20 ((((inverse @ sk_c3) = (sk_c8))
% 0.45/1.20 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(zip_derived_cl28, plain,
% 0.45/1.20 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 0.45/1.20 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl116, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl127, plain,
% 0.45/1.20 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.45/1.20 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl116])).
% 0.45/1.20 thf(prove_this_2, conjecture,
% 0.45/1.20 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) ))).
% 0.45/1.20 thf(zf_stmt_13, negated_conjecture,
% 0.45/1.20 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.45/1.20 ( ( inverse @ sk_c8 ) = ( sk_c6 ) )),
% 0.45/1.20 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.45/1.20 thf(zip_derived_cl4, plain,
% 0.45/1.20 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c6)))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.45/1.20 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c7) = (sk_c6))),
% 0.45/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.45/1.20 thf(zip_derived_cl31, plain,
% 0.45/1.20 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.45/1.20 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.45/1.20 thf(zip_derived_cl260, plain,
% 0.45/1.20 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.45/1.20 = (sk_c7))
% 0.45/1.20 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7))
% 0.45/1.20 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl31])).
% 0.45/1.20 thf(zip_derived_cl2, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/1.20 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.45/1.20 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.45/1.20 inference('cnf', [status(esa)], [associativity])).
% 0.45/1.20 thf(zip_derived_cl0, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_identity])).
% 0.45/1.20 thf(zip_derived_cl1, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_inverse])).
% 0.45/1.20 thf(zip_derived_cl265, plain,
% 0.45/1.20 ((((identity) = (sk_c7))
% 0.45/1.20 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7))
% 0.45/1.20 | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 0.45/1.20 inference('demod', [status(thm)],
% 0.45/1.20 [zip_derived_cl260, zip_derived_cl2, zip_derived_cl0,
% 0.45/1.20 zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl266, plain,
% 0.45/1.20 ((((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7))
% 0.45/1.20 | ((identity) = (sk_c7)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl265])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl192, plain, (((inverse @ identity) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl962, plain, (((identity) = (sk_c8))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl957])).
% 0.45/1.20 thf(zip_derived_cl0, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.45/1.20 inference('cnf', [status(esa)], [left_identity])).
% 0.45/1.20 thf(zip_derived_cl1006, plain,
% 0.45/1.20 ((((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.45/1.20 inference('demod', [status(thm)],
% 0.45/1.20 [zip_derived_cl266, zip_derived_cl962, zip_derived_cl192,
% 0.45/1.20 zip_derived_cl962, zip_derived_cl0])).
% 0.45/1.20 thf(zip_derived_cl1007, plain, (((identity) = (sk_c7))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl1006])).
% 0.45/1.20 thf(zip_derived_cl1042, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/1.20 (((inverse @ X0) != (identity))
% 0.45/1.20 | ((X0) != (identity))
% 0.45/1.20 | ((inverse @ X1) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((X2) != (identity))
% 0.45/1.20 | ((inverse @ X3) != (X2))
% 0.45/1.20 | ((multiply @ X3 @ X2) != (identity))
% 0.45/1.20 | ((identity) != (identity)))),
% 0.45/1.20 inference('demod', [status(thm)],
% 0.45/1.20 [zip_derived_cl1038, zip_derived_cl1007])).
% 0.45/1.20 thf(zip_derived_cl1043, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/1.20 (((multiply @ X3 @ X2) != (identity))
% 0.45/1.20 | ((inverse @ X3) != (X2))
% 0.45/1.20 | ((X2) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((inverse @ X1) != (identity))
% 0.45/1.20 | ((X0) != (identity))
% 0.45/1.20 | ((inverse @ X0) != (identity)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl1042])).
% 0.45/1.20 thf(zip_derived_cl1061, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/1.20 (((inverse @ X0) != (identity))
% 0.45/1.20 | ((X0) != (identity))
% 0.45/1.20 | ((inverse @ X1) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((inverse @ X2) != (identity))
% 0.45/1.20 | ((multiply @ X2 @ identity) != (identity)))),
% 0.45/1.20 inference('eq_res', [status(thm)], [zip_derived_cl1043])).
% 0.45/1.20 thf(zip_derived_cl284, plain,
% 0.45/1.20 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 0.45/1.20 thf(zip_derived_cl1062, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/1.20 (((inverse @ X0) != (identity))
% 0.45/1.20 | ((X0) != (identity))
% 0.45/1.20 | ((inverse @ X1) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((inverse @ X2) != (identity))
% 0.45/1.20 | ((X2) != (identity)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl1061, zip_derived_cl284])).
% 0.45/1.20 thf(zip_derived_cl1063, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 (((X0) != (identity))
% 0.45/1.20 | ((inverse @ X0) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((inverse @ X1) != (identity))
% 0.45/1.20 | ((inverse @ identity) != (identity)))),
% 0.45/1.20 inference('eq_res', [status(thm)], [zip_derived_cl1062])).
% 0.45/1.20 thf(zip_derived_cl192, plain, (((inverse @ identity) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl1064, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 (((X0) != (identity))
% 0.45/1.20 | ((inverse @ X0) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((inverse @ X1) != (identity))
% 0.45/1.20 | ((identity) != (identity)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl1063, zip_derived_cl192])).
% 0.45/1.20 thf(zip_derived_cl1065, plain,
% 0.45/1.20 (![X0 : $i, X1 : $i]:
% 0.45/1.20 (((inverse @ X1) != (identity))
% 0.45/1.20 | ((X1) != (identity))
% 0.45/1.20 | ((inverse @ X0) != (identity))
% 0.45/1.20 | ((X0) != (identity)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl1064])).
% 0.45/1.20 thf(zip_derived_cl1066, plain,
% 0.45/1.20 (![X0 : $i]:
% 0.45/1.20 (((X0) != (identity))
% 0.45/1.20 | ((inverse @ X0) != (identity))
% 0.45/1.20 | ((inverse @ identity) != (identity)))),
% 0.45/1.20 inference('eq_res', [status(thm)], [zip_derived_cl1065])).
% 0.45/1.20 thf(zip_derived_cl192, plain, (((inverse @ identity) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl1067, plain,
% 0.45/1.20 (![X0 : $i]:
% 0.45/1.20 (((X0) != (identity))
% 0.45/1.20 | ((inverse @ X0) != (identity))
% 0.45/1.20 | ((identity) != (identity)))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl1066, zip_derived_cl192])).
% 0.45/1.20 thf(zip_derived_cl1068, plain,
% 0.45/1.20 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl1067])).
% 0.45/1.20 thf(zip_derived_cl1069, plain, (((inverse @ identity) != (identity))),
% 0.45/1.20 inference('eq_res', [status(thm)], [zip_derived_cl1068])).
% 0.45/1.20 thf(zip_derived_cl192, plain, (((inverse @ identity) = (identity))),
% 0.45/1.20 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 0.45/1.20 thf(zip_derived_cl1070, plain, (((identity) != (identity))),
% 0.45/1.20 inference('demod', [status(thm)], [zip_derived_cl1069, zip_derived_cl192])).
% 0.45/1.20 thf(zip_derived_cl1071, plain, ($false),
% 0.45/1.20 inference('simplify', [status(thm)], [zip_derived_cl1070])).
% 0.45/1.20
% 0.45/1.20 % SZS output end Refutation
% 0.45/1.20
% 0.45/1.20
% 0.45/1.20 % Terminating...
% 2.54/1.34 % Runner terminated.
% 2.54/1.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------