TSTP Solution File: GRP357-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP357-1 : 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.xMdZafvbnj true
% Computer : n017.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 01:51:20 EDT 2023
% Result : Unsatisfiable 3.88s 1.70s
% Output : Refutation 3.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.25 % Problem : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.27 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xMdZafvbnj true
% 0.10/0.51 % Computer : n017.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8042.1875MB
% 0.10/0.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Mon Aug 28 21:14:43 EDT 2023
% 0.10/0.52 % CPUTime :
% 0.10/0.52 % Running portfolio for 300 s
% 0.10/0.52 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.54 % Number of cores: 8
% 0.17/0.55 % Python version: Python 3.6.8
% 0.17/0.55 % Running in FO mode
% 0.29/0.83 % Total configuration time : 435
% 0.29/0.83 % Estimated wc time : 1092
% 0.29/0.83 % Estimated cpu time (7 cpus) : 156.0
% 0.29/0.95 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.29/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.29/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.29/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.29/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.29/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.29/1.03 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.88/1.70 % Solved by fo/fo7.sh.
% 3.88/1.70 % done 1084 iterations in 0.667s
% 3.88/1.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.88/1.70 % SZS output start Refutation
% 3.88/1.70 thf(sk_c1_type, type, sk_c1: $i).
% 3.88/1.70 thf(sk_c8_type, type, sk_c8: $i).
% 3.88/1.70 thf(sk_c4_type, type, sk_c4: $i).
% 3.88/1.70 thf(sk_c5_type, type, sk_c5: $i).
% 3.88/1.70 thf(identity_type, type, identity: $i).
% 3.88/1.70 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.88/1.70 thf(sk_c6_type, type, sk_c6: $i).
% 3.88/1.70 thf(inverse_type, type, inverse: $i > $i).
% 3.88/1.70 thf(sk_c3_type, type, sk_c3: $i).
% 3.88/1.70 thf(sk_c2_type, type, sk_c2: $i).
% 3.88/1.70 thf(sk_c7_type, type, sk_c7: $i).
% 3.88/1.70 thf(prove_this_31, conjecture,
% 3.88/1.70 (~( ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 3.88/1.70 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 3.88/1.70 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 3.88/1.70 ( ( inverse @ X3 ) != ( X4 ) ) |
% 3.88/1.70 ( ( multiply @ X3 @ X4 ) != ( sk_c8 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_0, negated_conjecture,
% 3.88/1.70 (( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 3.88/1.70 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 3.88/1.70 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 3.88/1.70 ( ( inverse @ X3 ) != ( X4 ) ) |
% 3.88/1.70 ( ( multiply @ X3 @ X4 ) != ( sk_c8 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 3.88/1.70 thf(zip_derived_cl33, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((inverse @ X0) != (sk_c8))
% 3.88/1.70 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.88/1.70 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 3.88/1.70 | ((inverse @ X2) != (sk_c8))
% 3.88/1.70 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 3.88/1.70 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6))
% 3.88/1.70 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((multiply @ X4 @ X3) != (sk_c8))
% 3.88/1.70 | ((inverse @ sk_c8) != (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) != (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.88/1.70 thf(zip_derived_cl34, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c6))
% 3.88/1.70 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (X1))
% 3.88/1.70 | ((multiply @ (multiply @ sk_c7 @ sk_c6) @ X1) != (sk_c7))
% 3.88/1.70 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c6))
% 3.88/1.70 | ((multiply @ X2 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c7))
% 3.88/1.70 | ((multiply @ (multiply @ sk_c7 @ sk_c6) @ sk_c7) != (sk_c6))
% 3.88/1.70 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((multiply @ X4 @ X3) != (multiply @ sk_c7 @ sk_c6))
% 3.88/1.70 | ((inverse @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) != (sk_c8)))),
% 3.88/1.70 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 3.88/1.70 thf(associativity, axiom,
% 3.88/1.70 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 3.88/1.70 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 3.88/1.70 thf(zip_derived_cl2, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.88/1.70 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.88/1.70 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.88/1.70 inference('cnf', [status(esa)], [associativity])).
% 3.88/1.70 thf(zip_derived_cl2, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.88/1.70 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.88/1.70 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.88/1.70 inference('cnf', [status(esa)], [associativity])).
% 3.88/1.70 thf(zip_derived_cl68, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c6))
% 3.88/1.70 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (X1))
% 3.88/1.70 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ X1)) != (sk_c7))
% 3.88/1.70 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c6))
% 3.88/1.70 | ((multiply @ X2 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c7))
% 3.88/1.70 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 3.88/1.70 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((multiply @ X4 @ X3) != (multiply @ sk_c7 @ sk_c6))
% 3.88/1.70 | ((inverse @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) != (sk_c8)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl34, zip_derived_cl2, zip_derived_cl2])).
% 3.88/1.70 thf(prove_this_21, conjecture,
% 3.88/1.70 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 3.88/1.70 thf(zf_stmt_1, negated_conjecture,
% 3.88/1.70 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 3.88/1.70 thf(zip_derived_cl23, plain,
% 3.88/1.70 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.88/1.70 thf(prove_this_15, conjecture,
% 3.88/1.70 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_2, negated_conjecture,
% 3.88/1.70 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 3.88/1.70 thf(zip_derived_cl17, plain,
% 3.88/1.70 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.88/1.70 thf(zip_derived_cl42, plain,
% 3.88/1.70 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 3.88/1.70 | ((inverse @ sk_c3) = (sk_c8))
% 3.88/1.70 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl17])).
% 3.88/1.70 thf(zip_derived_cl46, plain,
% 3.88/1.70 ((((inverse @ sk_c3) = (sk_c8))
% 3.88/1.70 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl42])).
% 3.88/1.70 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 3.88/1.70 thf(zip_derived_cl1, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_inverse])).
% 3.88/1.70 thf(zip_derived_cl1, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_inverse])).
% 3.88/1.70 thf(zip_derived_cl2, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.88/1.70 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.88/1.70 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.88/1.70 inference('cnf', [status(esa)], [associativity])).
% 3.88/1.70 thf(zip_derived_cl72, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((multiply @ identity @ X0)
% 3.88/1.70 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 3.88/1.70 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl89, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl99, plain,
% 3.88/1.70 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl89])).
% 3.88/1.70 thf(zip_derived_cl89, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl89, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl96, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl89])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl99, plain,
% 3.88/1.70 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl89])).
% 3.88/1.70 thf(zip_derived_cl495, plain,
% 3.88/1.70 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl473, zip_derived_cl99])).
% 3.88/1.70 thf(zip_derived_cl1, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_inverse])).
% 3.88/1.70 thf(zip_derived_cl501, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl495, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl618, plain,
% 3.88/1.70 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c8)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl501])).
% 3.88/1.70 thf(zip_derived_cl495, plain,
% 3.88/1.70 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl473, zip_derived_cl99])).
% 3.88/1.70 thf(zip_derived_cl685, plain,
% 3.88/1.70 ((((sk_c3) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl618, zip_derived_cl495])).
% 3.88/1.70 thf(prove_this_20, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 3.88/1.70 thf(zf_stmt_3, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 3.88/1.70 thf(zip_derived_cl22, plain,
% 3.88/1.70 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c2)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.88/1.70 thf(prove_this_14, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_4, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 3.88/1.70 thf(zip_derived_cl16, plain,
% 3.88/1.70 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 3.88/1.70 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.88/1.70 thf(zip_derived_cl178, plain,
% 3.88/1.70 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 3.88/1.70 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 3.88/1.70 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl16])).
% 3.88/1.70 thf(zip_derived_cl183, plain,
% 3.88/1.70 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 3.88/1.70 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl178])).
% 3.88/1.70 thf(zip_derived_cl501, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl495, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl4708, plain,
% 3.88/1.70 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl501])).
% 3.88/1.70 thf(zip_derived_cl4745, plain,
% 3.88/1.70 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 3.88/1.70 | ((identity) = (sk_c8))
% 3.88/1.70 | ((identity) = (sk_c8)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl685, zip_derived_cl4708])).
% 3.88/1.70 thf(zip_derived_cl1, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_inverse])).
% 3.88/1.70 thf(zip_derived_cl4757, plain,
% 3.88/1.70 ((((identity) = (sk_c7))
% 3.88/1.70 | ((identity) = (sk_c8))
% 3.88/1.70 | ((identity) = (sk_c8)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl4745, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl4758, plain,
% 3.88/1.70 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl4757])).
% 3.88/1.70 thf(prove_this_9, conjecture,
% 3.88/1.70 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) ))).
% 3.88/1.70 thf(zf_stmt_5, negated_conjecture,
% 3.88/1.70 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c6 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 3.88/1.70 thf(zip_derived_cl11, plain,
% 3.88/1.70 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c6)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.88/1.70 thf(zip_derived_cl1, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_inverse])).
% 3.88/1.70 thf(zip_derived_cl37, plain,
% 3.88/1.70 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 3.88/1.70 | ((inverse @ sk_c8) = (sk_c6)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl89, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl103, plain,
% 3.88/1.70 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.88/1.70 | ((inverse @ sk_c8) = (sk_c6)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl89])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl484, plain,
% 3.88/1.70 ((((sk_c3) = (inverse @ sk_c8)) | ((inverse @ sk_c8) = (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl473])).
% 3.88/1.70 thf(prove_this_8, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) ))).
% 3.88/1.70 thf(zf_stmt_6, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c8 ) = ( sk_c6 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 3.88/1.70 thf(zip_derived_cl10, plain,
% 3.88/1.70 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c6)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.88/1.70 thf(zip_derived_cl542, plain,
% 3.88/1.70 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 3.88/1.70 | ((inverse @ sk_c8) = (sk_c6))
% 3.88/1.70 | ((inverse @ sk_c8) = (sk_c6)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl484, zip_derived_cl10])).
% 3.88/1.70 thf(zip_derived_cl1, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_inverse])).
% 3.88/1.70 thf(zip_derived_cl547, plain,
% 3.88/1.70 ((((identity) = (sk_c7))
% 3.88/1.70 | ((inverse @ sk_c8) = (sk_c6))
% 3.88/1.70 | ((inverse @ sk_c8) = (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl548, plain,
% 3.88/1.70 ((((inverse @ sk_c8) = (sk_c6)) | ((identity) = (sk_c7)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl547])).
% 3.88/1.70 thf(zip_derived_cl4796, plain,
% 3.88/1.70 ((((inverse @ identity) = (sk_c6))
% 3.88/1.70 | ((identity) = (sk_c7))
% 3.88/1.70 | ((identity) = (sk_c7)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl4758, zip_derived_cl548])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl89, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl98, plain,
% 3.88/1.70 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl89])).
% 3.88/1.70 thf(zip_derived_cl89, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl123, plain,
% 3.88/1.70 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl89])).
% 3.88/1.70 thf(zip_derived_cl1, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_inverse])).
% 3.88/1.70 thf(zip_derived_cl282, plain, (((inverse @ identity) = (identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl4869, plain,
% 3.88/1.70 ((((identity) = (sk_c6))
% 3.88/1.70 | ((identity) = (sk_c7))
% 3.88/1.70 | ((identity) = (sk_c7)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl4796, zip_derived_cl282])).
% 3.88/1.70 thf(zip_derived_cl4870, plain,
% 3.88/1.70 ((((identity) = (sk_c7)) | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl4869])).
% 3.88/1.70 thf(prove_this_6, conjecture,
% 3.88/1.70 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_7, negated_conjecture,
% 3.88/1.70 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 3.88/1.70 thf(zip_derived_cl8, plain,
% 3.88/1.70 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.88/1.70 thf(prove_this_5, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_8, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 3.88/1.70 thf(zip_derived_cl7, plain,
% 3.88/1.70 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.88/1.70 thf(zip_derived_cl89, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl110, plain,
% 3.88/1.70 ((((sk_c8) = (multiply @ (inverse @ sk_c4) @ sk_c5))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl89])).
% 3.88/1.70 thf(zip_derived_cl334, plain,
% 3.88/1.70 ((((sk_c8) = (multiply @ sk_c8 @ sk_c5))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl110])).
% 3.88/1.70 thf(zip_derived_cl340, plain,
% 3.88/1.70 ((((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 3.88/1.70 | ((sk_c8) = (multiply @ sk_c8 @ sk_c5)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl334])).
% 3.88/1.70 thf(prove_this_4, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_9, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 3.88/1.70 thf(zip_derived_cl6, plain,
% 3.88/1.70 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.88/1.70 thf(zip_derived_cl433, plain,
% 3.88/1.70 ((((sk_c8) = (sk_c7))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl6])).
% 3.88/1.70 thf(zip_derived_cl442, plain,
% 3.88/1.70 ((((multiply @ sk_c7 @ sk_c6) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl433])).
% 3.88/1.70 thf(zip_derived_cl462, plain,
% 3.88/1.70 ((((multiply @ sk_c7 @ sk_c6) != (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 3.88/1.70 inference('eq_fact', [status(thm)], [zip_derived_cl442])).
% 3.88/1.70 thf(zip_derived_cl4900, plain,
% 3.88/1.70 ((((multiply @ sk_c7 @ identity) != (sk_c7))
% 3.88/1.70 | ((identity) = (sk_c7))
% 3.88/1.70 | ((sk_c8) = (sk_c7)))),
% 3.88/1.70 inference('sup-', [status(thm)], [zip_derived_cl4870, zip_derived_cl462])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl4937, plain,
% 3.88/1.70 ((((sk_c7) != (sk_c7)) | ((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl4900, zip_derived_cl473])).
% 3.88/1.70 thf(zip_derived_cl4938, plain,
% 3.88/1.70 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl4937])).
% 3.88/1.70 thf(zip_derived_cl4758, plain,
% 3.88/1.70 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl4757])).
% 3.88/1.70 thf(zip_derived_cl5063, plain,
% 3.88/1.70 ((((identity) = (sk_c7))
% 3.88/1.70 | ((identity) = (sk_c7))
% 3.88/1.70 | ((identity) = (sk_c7)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl4938, zip_derived_cl4758])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5111, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((inverse @ X0) != (sk_c6))
% 3.88/1.70 | ((multiply @ X0 @ sk_c6) != (X1))
% 3.88/1.70 | ((multiply @ sk_c6 @ X1) != (identity))
% 3.88/1.70 | ((inverse @ X2) != (sk_c6))
% 3.88/1.70 | ((multiply @ X2 @ sk_c6) != (identity))
% 3.88/1.70 | ((sk_c6) != (sk_c6))
% 3.88/1.70 | ((X3) != (sk_c6))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((multiply @ X4 @ X3) != (sk_c6))
% 3.88/1.70 | ((inverse @ sk_c6) != (sk_c6))
% 3.88/1.70 | ((sk_c6) != (sk_c8)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl68, zip_derived_cl5083, zip_derived_cl0,
% 3.88/1.70 zip_derived_cl5083, zip_derived_cl0, zip_derived_cl5083,
% 3.88/1.70 zip_derived_cl0, zip_derived_cl5083, zip_derived_cl5083,
% 3.88/1.70 zip_derived_cl0, zip_derived_cl5083, zip_derived_cl0,
% 3.88/1.70 zip_derived_cl5083, zip_derived_cl5083, zip_derived_cl5083,
% 3.88/1.70 zip_derived_cl473, zip_derived_cl0, zip_derived_cl5083,
% 3.88/1.70 zip_derived_cl473, zip_derived_cl5083, zip_derived_cl0,
% 3.88/1.70 zip_derived_cl5083, zip_derived_cl0, zip_derived_cl5083,
% 3.88/1.70 zip_derived_cl0, zip_derived_cl5083, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl5112, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((sk_c6) != (sk_c8))
% 3.88/1.70 | ((inverse @ sk_c6) != (sk_c6))
% 3.88/1.70 | ((multiply @ X4 @ X3) != (sk_c6))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((X3) != (sk_c6))
% 3.88/1.70 | ((multiply @ X2 @ sk_c6) != (identity))
% 3.88/1.70 | ((inverse @ X2) != (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c6 @ X1) != (identity))
% 3.88/1.70 | ((multiply @ X0 @ sk_c6) != (X1))
% 3.88/1.70 | ((inverse @ X0) != (sk_c6)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5111])).
% 3.88/1.70 thf(prove_this_1, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_10, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 3.88/1.70 thf(zip_derived_cl3, plain,
% 3.88/1.70 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl5084, plain, ((((sk_c8) = (sk_c6)) | ((sk_c6) = (sk_c8)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl3, zip_derived_cl5083, zip_derived_cl473,
% 3.88/1.70 zip_derived_cl5083, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl5268, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((sk_c6) != (sk_c6))
% 3.88/1.70 | ((inverse @ sk_c6) != (sk_c6))
% 3.88/1.70 | ((multiply @ X4 @ X3) != (sk_c6))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((X3) != (sk_c6))
% 3.88/1.70 | ((multiply @ X2 @ sk_c6) != (identity))
% 3.88/1.70 | ((inverse @ X2) != (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c6 @ X1) != (identity))
% 3.88/1.70 | ((multiply @ X0 @ sk_c6) != (X1))
% 3.88/1.70 | ((inverse @ X0) != (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl5112, zip_derived_cl5085])).
% 3.88/1.70 thf(zip_derived_cl5269, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((inverse @ X0) != (sk_c6))
% 3.88/1.70 | ((multiply @ X0 @ sk_c6) != (X1))
% 3.88/1.70 | ((multiply @ sk_c6 @ X1) != (identity))
% 3.88/1.70 | ((inverse @ X2) != (sk_c6))
% 3.88/1.70 | ((multiply @ X2 @ sk_c6) != (identity))
% 3.88/1.70 | ((X3) != (sk_c6))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((multiply @ X4 @ X3) != (sk_c6))
% 3.88/1.70 | ((inverse @ sk_c6) != (sk_c6)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5268])).
% 3.88/1.70 thf(prove_this_24, conjecture,
% 3.88/1.70 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 3.88/1.70 thf(zf_stmt_11, negated_conjecture,
% 3.88/1.70 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 3.88/1.70 thf(zip_derived_cl26, plain,
% 3.88/1.70 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.88/1.70 thf(prove_this_18, conjecture,
% 3.88/1.70 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_12, negated_conjecture,
% 3.88/1.70 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 3.88/1.70 thf(zip_derived_cl20, plain,
% 3.88/1.70 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_12])).
% 3.88/1.70 thf(zip_derived_cl52, plain,
% 3.88/1.70 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 3.88/1.70 | ((inverse @ sk_c4) = (sk_c8))
% 3.88/1.70 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl20])).
% 3.88/1.70 thf(zip_derived_cl53, plain,
% 3.88/1.70 ((((inverse @ sk_c4) = (sk_c8))
% 3.88/1.70 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl52])).
% 3.88/1.70 thf(zip_derived_cl501, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl495, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl1150, plain,
% 3.88/1.70 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl501])).
% 3.88/1.70 thf(zip_derived_cl495, plain,
% 3.88/1.70 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl473, zip_derived_cl99])).
% 3.88/1.70 thf(zip_derived_cl1152, plain,
% 3.88/1.70 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl1150, zip_derived_cl495])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl5241, plain,
% 3.88/1.70 ((((sk_c4) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl1152, zip_derived_cl5085, zip_derived_cl5085])).
% 3.88/1.70 thf(prove_this_23, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 3.88/1.70 thf(zf_stmt_13, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 3.88/1.70 thf(zip_derived_cl25, plain,
% 3.88/1.70 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c2)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_13])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl5217, plain,
% 3.88/1.70 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c2)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl5085])).
% 3.88/1.70 thf(prove_this_17, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_14, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 3.88/1.70 thf(zip_derived_cl19, plain,
% 3.88/1.70 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 3.88/1.70 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_14])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl5214, plain,
% 3.88/1.70 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 3.88/1.70 | ((multiply @ sk_c1 @ sk_c2) = (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl19, zip_derived_cl5085, zip_derived_cl5085])).
% 3.88/1.70 thf(zip_derived_cl6639, plain,
% 3.88/1.70 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 3.88/1.70 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl5217, zip_derived_cl5214])).
% 3.88/1.70 thf(zip_derived_cl501, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl495, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl6659, plain,
% 3.88/1.70 ((((identity) = (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 3.88/1.70 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl6639, zip_derived_cl501])).
% 3.88/1.70 thf(zip_derived_cl6660, plain,
% 3.88/1.70 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6659])).
% 3.88/1.70 thf(zip_derived_cl6673, plain,
% 3.88/1.70 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c5))
% 3.88/1.70 | ((identity) = (sk_c6))
% 3.88/1.70 | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl5241, zip_derived_cl6660])).
% 3.88/1.70 thf(zip_derived_cl1, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_inverse])).
% 3.88/1.70 thf(zip_derived_cl6676, plain,
% 3.88/1.70 ((((identity) = (sk_c5))
% 3.88/1.70 | ((identity) = (sk_c6))
% 3.88/1.70 | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl6673, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl6677, plain,
% 3.88/1.70 ((((identity) = (sk_c6)) | ((identity) = (sk_c5)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6676])).
% 3.88/1.70 thf(prove_this_22, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 3.88/1.70 thf(zf_stmt_15, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 3.88/1.70 thf(zip_derived_cl24, plain,
% 3.88/1.70 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c2)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_15])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl5099, plain,
% 3.88/1.70 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 3.88/1.70 | ((inverse @ sk_c1) = (sk_c2)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl5083])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl5354, plain,
% 3.88/1.70 ((((multiply @ sk_c6 @ sk_c5) = (identity))
% 3.88/1.70 | ((inverse @ sk_c1) = (sk_c2)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl5099, zip_derived_cl5085])).
% 3.88/1.70 thf(prove_this_16, conjecture,
% 3.88/1.70 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 3.88/1.70 thf(zf_stmt_16, negated_conjecture,
% 3.88/1.70 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.88/1.70 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 3.88/1.70 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 3.88/1.70 thf(zip_derived_cl18, plain,
% 3.88/1.70 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 3.88/1.70 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 3.88/1.70 inference('cnf', [status(esa)], [zf_stmt_16])).
% 3.88/1.70 thf(zip_derived_cl5083, plain, (((identity) = (sk_c7))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5063])).
% 3.88/1.70 thf(zip_derived_cl5096, plain,
% 3.88/1.70 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 3.88/1.70 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl5083])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl5085, plain, (((sk_c8) = (sk_c6))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl5084])).
% 3.88/1.70 thf(zip_derived_cl6274, plain,
% 3.88/1.70 ((((multiply @ sk_c6 @ sk_c5) = (identity))
% 3.88/1.70 | ((multiply @ sk_c1 @ sk_c2) = (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl5096, zip_derived_cl5085, zip_derived_cl5085])).
% 3.88/1.70 thf(zip_derived_cl6289, plain,
% 3.88/1.70 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c6 @ sk_c5) = (identity))
% 3.88/1.70 | ((multiply @ sk_c6 @ sk_c5) = (identity)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl5354, zip_derived_cl6274])).
% 3.88/1.70 thf(zip_derived_cl501, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl495, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl6302, plain,
% 3.88/1.70 ((((identity) = (sk_c6))
% 3.88/1.70 | ((multiply @ sk_c6 @ sk_c5) = (identity))
% 3.88/1.70 | ((multiply @ sk_c6 @ sk_c5) = (identity)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl6289, zip_derived_cl501])).
% 3.88/1.70 thf(zip_derived_cl6303, plain,
% 3.88/1.70 ((((multiply @ sk_c6 @ sk_c5) = (identity)) | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6302])).
% 3.88/1.70 thf(zip_derived_cl89, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i]:
% 3.88/1.70 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 3.88/1.70 thf(zip_derived_cl6307, plain,
% 3.88/1.70 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 3.88/1.70 | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl6303, zip_derived_cl89])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl6314, plain,
% 3.88/1.70 ((((sk_c5) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl6307, zip_derived_cl473])).
% 3.88/1.70 thf(zip_derived_cl6685, plain,
% 3.88/1.70 ((((identity) = (inverse @ sk_c6))
% 3.88/1.70 | ((identity) = (sk_c6))
% 3.88/1.70 | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl6677, zip_derived_cl6314])).
% 3.88/1.70 thf(zip_derived_cl6690, plain,
% 3.88/1.70 ((((identity) = (sk_c6)) | ((identity) = (inverse @ sk_c6)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6685])).
% 3.88/1.70 thf(zip_derived_cl495, plain,
% 3.88/1.70 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl473, zip_derived_cl99])).
% 3.88/1.70 thf(zip_derived_cl6713, plain,
% 3.88/1.70 ((((sk_c6) = (inverse @ identity)) | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl6690, zip_derived_cl495])).
% 3.88/1.70 thf(zip_derived_cl282, plain, (((inverse @ identity) = (identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl6728, plain,
% 3.88/1.70 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 3.88/1.70 inference('demod', [status(thm)], [zip_derived_cl6713, zip_derived_cl282])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl0, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.88/1.70 inference('cnf', [status(esa)], [left_identity])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl473, plain,
% 3.88/1.70 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl282, plain, (((inverse @ identity) = (identity))),
% 3.88/1.70 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 3.88/1.70 thf(zip_derived_cl6729, plain, (((sk_c6) = (identity))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6728])).
% 3.88/1.70 thf(zip_derived_cl6769, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((inverse @ X0) != (identity))
% 3.88/1.70 | ((X0) != (X1))
% 3.88/1.70 | ((X1) != (identity))
% 3.88/1.70 | ((inverse @ X2) != (identity))
% 3.88/1.70 | ((X2) != (identity))
% 3.88/1.70 | ((X3) != (identity))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((multiply @ X4 @ X3) != (identity))
% 3.88/1.70 | ((identity) != (identity)))),
% 3.88/1.70 inference('demod', [status(thm)],
% 3.88/1.70 [zip_derived_cl5269, zip_derived_cl6729, zip_derived_cl6729,
% 3.88/1.70 zip_derived_cl473, zip_derived_cl6729, zip_derived_cl0,
% 3.88/1.70 zip_derived_cl6729, zip_derived_cl6729, zip_derived_cl473,
% 3.88/1.70 zip_derived_cl6729, zip_derived_cl6729, zip_derived_cl6729,
% 3.88/1.70 zip_derived_cl282, zip_derived_cl6729])).
% 3.88/1.70 thf(zip_derived_cl6770, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.88/1.70 (((multiply @ X4 @ X3) != (identity))
% 3.88/1.70 | ((inverse @ X4) != (X3))
% 3.88/1.70 | ((X3) != (identity))
% 3.88/1.70 | ((X2) != (identity))
% 3.88/1.70 | ((inverse @ X2) != (identity))
% 3.88/1.70 | ((X1) != (identity))
% 3.88/1.70 | ((X0) != (X1))
% 3.88/1.70 | ((inverse @ X0) != (identity)))),
% 3.88/1.70 inference('simplify', [status(thm)], [zip_derived_cl6769])).
% 3.88/1.70 thf(zip_derived_cl6816, plain,
% 3.88/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.88/1.71 (((inverse @ X0) != (identity))
% 3.88/1.71 | ((X0) != (identity))
% 3.88/1.71 | ((inverse @ X1) != (identity))
% 3.88/1.71 | ((X1) != (identity))
% 3.88/1.71 | ((X2) != (identity))
% 3.88/1.71 | ((inverse @ X3) != (X2))
% 3.88/1.71 | ((multiply @ X3 @ X2) != (identity)))),
% 3.88/1.71 inference('eq_res', [status(thm)], [zip_derived_cl6770])).
% 3.88/1.71 thf(zip_derived_cl6817, plain,
% 3.88/1.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.88/1.71 (((multiply @ X1 @ X0) != (identity))
% 3.88/1.71 | ((inverse @ X1) != (X0))
% 3.88/1.71 | ((X0) != (identity))
% 3.88/1.71 | ((X2) != (identity))
% 3.88/1.71 | ((inverse @ X2) != (identity))
% 3.88/1.71 | ((inverse @ identity) != (identity)))),
% 3.88/1.71 inference('eq_res', [status(thm)], [zip_derived_cl6816])).
% 3.88/1.71 thf(zip_derived_cl282, plain, (((inverse @ identity) = (identity))),
% 3.88/1.71 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 3.88/1.71 thf(zip_derived_cl6818, plain,
% 3.88/1.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.88/1.71 (((multiply @ X1 @ X0) != (identity))
% 3.88/1.71 | ((inverse @ X1) != (X0))
% 3.88/1.71 | ((X0) != (identity))
% 3.88/1.71 | ((X2) != (identity))
% 3.88/1.71 | ((inverse @ X2) != (identity))
% 3.88/1.71 | ((identity) != (identity)))),
% 3.88/1.71 inference('demod', [status(thm)], [zip_derived_cl6817, zip_derived_cl282])).
% 3.88/1.71 thf(zip_derived_cl6819, plain,
% 3.88/1.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.88/1.71 (((inverse @ X2) != (identity))
% 3.88/1.71 | ((X2) != (identity))
% 3.88/1.71 | ((X0) != (identity))
% 3.88/1.71 | ((inverse @ X1) != (X0))
% 3.88/1.71 | ((multiply @ X1 @ X0) != (identity)))),
% 3.88/1.71 inference('simplify', [status(thm)], [zip_derived_cl6818])).
% 3.88/1.71 thf(zip_derived_cl6820, plain,
% 3.88/1.71 (![X0 : $i, X1 : $i]:
% 3.88/1.71 (((multiply @ X1 @ X0) != (identity))
% 3.88/1.71 | ((inverse @ X1) != (X0))
% 3.88/1.71 | ((X0) != (identity))
% 3.88/1.71 | ((inverse @ identity) != (identity)))),
% 3.88/1.71 inference('eq_res', [status(thm)], [zip_derived_cl6819])).
% 3.88/1.71 thf(zip_derived_cl282, plain, (((inverse @ identity) = (identity))),
% 3.88/1.71 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 3.88/1.71 thf(zip_derived_cl6821, plain,
% 3.88/1.71 (![X0 : $i, X1 : $i]:
% 3.88/1.71 (((multiply @ X1 @ X0) != (identity))
% 3.88/1.71 | ((inverse @ X1) != (X0))
% 3.88/1.71 | ((X0) != (identity))
% 3.88/1.71 | ((identity) != (identity)))),
% 3.88/1.71 inference('demod', [status(thm)], [zip_derived_cl6820, zip_derived_cl282])).
% 3.88/1.71 thf(zip_derived_cl6822, plain,
% 3.88/1.71 (![X0 : $i, X1 : $i]:
% 3.88/1.71 (((X0) != (identity))
% 3.88/1.71 | ((inverse @ X1) != (X0))
% 3.88/1.71 | ((multiply @ X1 @ X0) != (identity)))),
% 3.88/1.71 inference('simplify', [status(thm)], [zip_derived_cl6821])).
% 3.88/1.71 thf(zip_derived_cl6823, plain,
% 3.88/1.71 (![X0 : $i]:
% 3.88/1.71 (((multiply @ X0 @ identity) != (identity))
% 3.88/1.71 | ((inverse @ X0) != (identity)))),
% 3.88/1.71 inference('eq_res', [status(thm)], [zip_derived_cl6822])).
% 3.88/1.71 thf(zip_derived_cl473, plain,
% 3.88/1.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.88/1.71 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl96])).
% 3.88/1.71 thf(zip_derived_cl6824, plain,
% 3.88/1.71 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 3.88/1.71 inference('demod', [status(thm)], [zip_derived_cl6823, zip_derived_cl473])).
% 3.88/1.71 thf(zip_derived_cl6825, plain, (((inverse @ identity) != (identity))),
% 3.88/1.71 inference('eq_res', [status(thm)], [zip_derived_cl6824])).
% 3.88/1.71 thf(zip_derived_cl282, plain, (((inverse @ identity) = (identity))),
% 3.88/1.71 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 3.88/1.71 thf(zip_derived_cl6826, plain, (((identity) != (identity))),
% 3.88/1.71 inference('demod', [status(thm)], [zip_derived_cl6825, zip_derived_cl282])).
% 3.88/1.71 thf(zip_derived_cl6827, plain, ($false),
% 3.88/1.71 inference('simplify', [status(thm)], [zip_derived_cl6826])).
% 3.88/1.71
% 3.88/1.71 % SZS output end Refutation
% 3.88/1.71
% 3.88/1.71
% 3.88/1.71 % Terminating...
% 4.69/2.04 % Runner terminated.
% 4.69/2.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------