TSTP Solution File: GRP305-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP305-1 : 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.LDxZ5WpjKx true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:07 EDT 2023
% Result : Unsatisfiable 1.86s 0.93s
% Output : Refutation 1.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP305-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LDxZ5WpjKx true
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:03:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.86/0.93 % Solved by fo/fo7.sh.
% 1.86/0.93 % done 410 iterations in 0.142s
% 1.86/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.86/0.93 % SZS output start Refutation
% 1.86/0.93 thf(sk_c4_type, type, sk_c4: $i).
% 1.86/0.93 thf(sk_c1_type, type, sk_c1: $i).
% 1.86/0.93 thf(sk_c3_type, type, sk_c3: $i).
% 1.86/0.93 thf(identity_type, type, identity: $i).
% 1.86/0.93 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.86/0.93 thf(sk_c5_type, type, sk_c5: $i).
% 1.86/0.93 thf(inverse_type, type, inverse: $i > $i).
% 1.86/0.93 thf(sk_c2_type, type, sk_c2: $i).
% 1.86/0.93 thf(sk_c6_type, type, sk_c6: $i).
% 1.86/0.93 thf(prove_this_26, conjecture,
% 1.86/0.93 (~( ( ( multiply @ X3 @ sk_c4 ) != ( sk_c5 ) ) |
% 1.86/0.93 ( ( inverse @ X3 ) != ( sk_c5 ) ) |
% 1.86/0.93 ( ( multiply @ X1 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.86/0.93 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c4 ) ) |
% 1.86/0.93 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c4 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) != ( sk_c4 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c5 @ sk_c4 ) != ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_0, negated_conjecture,
% 1.86/0.93 (( ( multiply @ X3 @ sk_c4 ) != ( sk_c5 ) ) |
% 1.86/0.93 ( ( inverse @ X3 ) != ( sk_c5 ) ) |
% 1.86/0.93 ( ( multiply @ X1 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.86/0.93 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c4 ) ) |
% 1.86/0.93 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c4 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) != ( sk_c4 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c5 @ sk_c4 ) != ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.86/0.93 thf(zip_derived_cl28, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 (((multiply @ X0 @ sk_c4) != (sk_c5))
% 1.86/0.93 | ((inverse @ X0) != (sk_c5))
% 1.86/0.93 | ((multiply @ X1 @ sk_c5) != (sk_c6))
% 1.86/0.93 | ((inverse @ X1) != (sk_c6))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) != (sk_c4))
% 1.86/0.93 | ((inverse @ X2) != (sk_c6))
% 1.86/0.93 | ((multiply @ X2 @ sk_c6) != (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c6) != (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c4) != (sk_c6))
% 1.86/0.93 | ((multiply @ sk_c6 @ sk_c5) != (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.86/0.93 thf(zip_derived_cl29, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 (((multiply @ X0 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.86/0.93 | ((inverse @ X0) != (sk_c5))
% 1.86/0.93 | ((multiply @ X1 @ sk_c5) != (sk_c6))
% 1.86/0.93 | ((inverse @ X1) != (sk_c6))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) != (sk_c4))
% 1.86/0.93 | ((inverse @ X2) != (sk_c6))
% 1.86/0.93 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 1.86/0.93 | ((inverse @ sk_c6) != (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c5 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 1.86/0.93 | ((multiply @ sk_c6 @ sk_c5) != (sk_c4)))),
% 1.86/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 1.86/0.93 thf(prove_this_11, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_1, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.86/0.93 thf(zip_derived_cl13, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4)) | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.86/0.93 thf(prove_this_14, conjecture,
% 1.86/0.93 (~( ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_2, negated_conjecture,
% 1.86/0.93 (( ( inverse @ sk_c3 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.86/0.93 thf(zip_derived_cl16, plain,
% 1.86/0.93 ((((inverse @ sk_c3) = (sk_c5)) | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.86/0.93 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl34, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c3) = (identity))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(associativity, axiom,
% 1.86/0.93 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.86/0.93 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.86/0.93 thf(zip_derived_cl2, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.86/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.86/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.86/0.93 thf(zip_derived_cl58, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((multiply @ identity @ X0)
% 1.86/0.93 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.86/0.93 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl96, plain,
% 1.86/0.93 ((((sk_c3) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl88, plain,
% 1.86/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl85, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl430, plain,
% 1.86/0.93 ((((sk_c3) = (inverse @ sk_c5)) | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl408])).
% 1.86/0.93 thf(prove_this_15, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_3, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.86/0.93 thf(zip_derived_cl17, plain,
% 1.86/0.93 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5)) | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.86/0.93 thf(zip_derived_cl593, plain,
% 1.86/0.93 ((((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl430, zip_derived_cl17])).
% 1.86/0.93 thf(zip_derived_cl603, plain,
% 1.86/0.93 ((((inverse @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl593])).
% 1.86/0.93 thf(zip_derived_cl1891, plain,
% 1.86/0.93 ((((multiply @ (inverse @ sk_c5) @ (multiply @ sk_c5 @ sk_c6)) = (sk_c5))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl603])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl1911, plain,
% 1.86/0.93 ((((sk_c6) = (sk_c5))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl1891, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl1912, plain,
% 1.86/0.93 ((((inverse @ sk_c6) = (sk_c4)) | ((sk_c6) = (sk_c5)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1911])).
% 1.86/0.93 thf(prove_this_21, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.86/0.93 thf(zf_stmt_4, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.86/0.93 thf(zip_derived_cl23, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl40, plain,
% 1.86/0.93 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl92, plain,
% 1.86/0.93 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl75])).
% 1.86/0.93 thf(prove_this_16, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_5, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.86/0.93 thf(zip_derived_cl18, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c1 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.86/0.93 thf(zip_derived_cl198, plain,
% 1.86/0.93 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.86/0.93 = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl18])).
% 1.86/0.93 thf(zip_derived_cl2, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.86/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.86/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl211, plain,
% 1.86/0.93 ((((identity) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl198, zip_derived_cl2, zip_derived_cl0,
% 1.86/0.93 zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl212, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl211])).
% 1.86/0.93 thf(prove_this_24, conjecture,
% 1.86/0.93 (~( ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.86/0.93 thf(zf_stmt_6, negated_conjecture,
% 1.86/0.93 (( ( inverse @ sk_c3 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.86/0.93 thf(zip_derived_cl26, plain,
% 1.86/0.93 ((((inverse @ sk_c3) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl42, plain,
% 1.86/0.93 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.86/0.93 | ((inverse @ sk_c3) = (sk_c5)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl94, plain,
% 1.86/0.93 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.86/0.93 | ((inverse @ sk_c3) = (sk_c5)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl75])).
% 1.86/0.93 thf(prove_this_19, conjecture,
% 1.86/0.93 (~( ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_7, negated_conjecture,
% 1.86/0.93 (( ( inverse @ sk_c3 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.86/0.93 thf(zip_derived_cl21, plain,
% 1.86/0.93 ((((inverse @ sk_c3) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.86/0.93 thf(zip_derived_cl162, plain,
% 1.86/0.93 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.86/0.93 = (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c3) = (sk_c5))
% 1.86/0.93 | ((inverse @ sk_c3) = (sk_c5)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl21])).
% 1.86/0.93 thf(zip_derived_cl2, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.86/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.86/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl175, plain,
% 1.86/0.93 ((((identity) = (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c3) = (sk_c5))
% 1.86/0.93 | ((inverse @ sk_c3) = (sk_c5)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl162, zip_derived_cl2, zip_derived_cl0,
% 1.86/0.93 zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl176, plain,
% 1.86/0.93 ((((inverse @ sk_c3) = (sk_c5)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl180, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c3) = (identity)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl285, plain,
% 1.86/0.93 ((((sk_c3) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.86/0.93 | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl434, plain,
% 1.86/0.93 ((((sk_c3) = (inverse @ sk_c5)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl408])).
% 1.86/0.93 thf(prove_this_25, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.86/0.93 thf(zf_stmt_8, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.86/0.93 thf(zip_derived_cl27, plain,
% 1.86/0.93 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl88, plain,
% 1.86/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl443, plain,
% 1.86/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl408, zip_derived_cl88])).
% 1.86/0.93 thf(zip_derived_cl465, plain,
% 1.86/0.93 ((((sk_c1) = (inverse @ sk_c6)) | ((multiply @ sk_c3 @ sk_c4) = (sk_c5)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl443])).
% 1.86/0.93 thf(prove_this_20, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_9, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.86/0.93 thf(zip_derived_cl22, plain,
% 1.86/0.93 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 1.86/0.93 | ((multiply @ sk_c1 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.86/0.93 thf(zip_derived_cl678, plain,
% 1.86/0.93 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 1.86/0.93 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl22])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl691, plain,
% 1.86/0.93 ((((identity) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 1.86/0.93 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl678, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl692, plain,
% 1.86/0.93 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl691])).
% 1.86/0.93 thf(zip_derived_cl851, plain,
% 1.86/0.93 ((((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5))
% 1.86/0.93 | ((identity) = (sk_c4))
% 1.86/0.93 | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl692])).
% 1.86/0.93 thf(zip_derived_cl854, plain,
% 1.86/0.93 ((((identity) = (sk_c4))
% 1.86/0.93 | ((multiply @ (inverse @ sk_c5) @ sk_c4) = (sk_c5)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl851])).
% 1.86/0.93 thf(zip_derived_cl1197, plain,
% 1.86/0.93 ((((multiply @ (inverse @ sk_c5) @ (multiply @ sk_c5 @ sk_c6)) = (sk_c5))
% 1.86/0.93 | ((identity) = (sk_c4))
% 1.86/0.93 | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl854])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl1204, plain,
% 1.86/0.93 ((((sk_c6) = (sk_c5)) | ((identity) = (sk_c4)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl1197, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl1205, plain,
% 1.86/0.93 ((((identity) = (sk_c4)) | ((sk_c6) = (sk_c5)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1204])).
% 1.86/0.93 thf(zip_derived_cl1942, plain,
% 1.86/0.93 ((((identity) = (inverse @ sk_c6))
% 1.86/0.93 | ((sk_c6) = (sk_c5))
% 1.86/0.93 | ((sk_c6) = (sk_c5)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1912, zip_derived_cl1205])).
% 1.86/0.93 thf(zip_derived_cl1947, plain,
% 1.86/0.93 ((((sk_c6) = (sk_c5)) | ((identity) = (inverse @ sk_c6)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1942])).
% 1.86/0.93 thf(prove_this_12, conjecture,
% 1.86/0.93 (~( ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_10, negated_conjecture,
% 1.86/0.93 (( ( inverse @ sk_c2 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.86/0.93 thf(zip_derived_cl14, plain,
% 1.86/0.93 ((((inverse @ sk_c2) = (sk_c6)) | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.86/0.93 thf(prove_this_13, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_11, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.86/0.93 thf(zip_derived_cl15, plain,
% 1.86/0.93 ((((multiply @ sk_c2 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl99, plain,
% 1.86/0.93 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl1348, plain,
% 1.86/0.93 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl99])).
% 1.86/0.93 thf(zip_derived_cl1354, plain,
% 1.86/0.93 ((((inverse @ sk_c6) = (sk_c4)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1348])).
% 1.86/0.93 thf(prove_this_22, conjecture,
% 1.86/0.93 (~( ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.86/0.93 thf(zf_stmt_12, negated_conjecture,
% 1.86/0.93 (( ( inverse @ sk_c2 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.86/0.93 thf(zip_derived_cl24, plain,
% 1.86/0.93 ((((inverse @ sk_c2) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl41, plain,
% 1.86/0.93 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.86/0.93 | ((inverse @ sk_c2) = (sk_c6)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl93, plain,
% 1.86/0.93 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.86/0.93 | ((inverse @ sk_c2) = (sk_c6)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl75])).
% 1.86/0.93 thf(prove_this_17, conjecture,
% 1.86/0.93 (~( ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_13, negated_conjecture,
% 1.86/0.93 (( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.86/0.93 thf(zip_derived_cl19, plain,
% 1.86/0.93 ((((inverse @ sk_c2) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.86/0.93 thf(zip_derived_cl227, plain,
% 1.86/0.93 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.86/0.93 = (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c2) = (sk_c6))
% 1.86/0.93 | ((inverse @ sk_c2) = (sk_c6)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl19])).
% 1.86/0.93 thf(zip_derived_cl2, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.86/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.86/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl240, plain,
% 1.86/0.93 ((((identity) = (sk_c4))
% 1.86/0.93 | ((inverse @ sk_c2) = (sk_c6))
% 1.86/0.93 | ((inverse @ sk_c2) = (sk_c6)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl227, zip_derived_cl2, zip_derived_cl0,
% 1.86/0.93 zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl241, plain,
% 1.86/0.93 ((((inverse @ sk_c2) = (sk_c6)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 1.86/0.93 thf(prove_this_23, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.86/0.93 thf(zf_stmt_14, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.86/0.93 thf(zip_derived_cl25, plain,
% 1.86/0.93 ((((multiply @ sk_c2 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.86/0.93 thf(zip_derived_cl443, plain,
% 1.86/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl408, zip_derived_cl88])).
% 1.86/0.93 thf(zip_derived_cl463, plain,
% 1.86/0.93 ((((sk_c1) = (inverse @ sk_c6)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl443])).
% 1.86/0.93 thf(prove_this_18, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.86/0.93 thf(zf_stmt_15, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c4 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.86/0.93 thf(zip_derived_cl20, plain,
% 1.86/0.93 ((((multiply @ sk_c2 @ sk_c5) = (sk_c6))
% 1.86/0.93 | ((multiply @ sk_c1 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.86/0.93 thf(zip_derived_cl782, plain,
% 1.86/0.93 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6))
% 1.86/0.93 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl463, zip_derived_cl20])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl796, plain,
% 1.86/0.93 ((((identity) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6))
% 1.86/0.93 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl782, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl797, plain,
% 1.86/0.93 ((((multiply @ sk_c2 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl796])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl856, plain,
% 1.86/0.93 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 1.86/0.93 | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl797, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl881, plain,
% 1.86/0.93 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.86/0.93 | ((identity) = (sk_c4))
% 1.86/0.93 | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl241, zip_derived_cl856])).
% 1.86/0.93 thf(zip_derived_cl886, plain,
% 1.86/0.93 ((((identity) = (sk_c4)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl881])).
% 1.86/0.93 thf(zip_derived_cl1374, plain,
% 1.86/0.93 ((((identity) = (inverse @ sk_c6))
% 1.86/0.93 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.86/0.93 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1354, zip_derived_cl886])).
% 1.86/0.93 thf(zip_derived_cl1379, plain,
% 1.86/0.93 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.86/0.93 | ((identity) = (inverse @ sk_c6)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.86/0.93 thf(zip_derived_cl1977, plain,
% 1.86/0.93 ((((sk_c6) = (multiply @ sk_c6 @ sk_c6))
% 1.86/0.93 | ((identity) = (inverse @ sk_c6))
% 1.86/0.93 | ((identity) = (inverse @ sk_c6)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1947, zip_derived_cl1379])).
% 1.86/0.93 thf(zip_derived_cl1992, plain,
% 1.86/0.93 ((((identity) = (inverse @ sk_c6))
% 1.86/0.93 | ((sk_c6) = (multiply @ sk_c6 @ sk_c6)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1977])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl2135, plain,
% 1.86/0.93 ((((multiply @ identity @ sk_c6) = (identity))
% 1.86/0.93 | ((sk_c6) = (multiply @ sk_c6 @ sk_c6)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1992, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl2143, plain,
% 1.86/0.93 ((((sk_c6) = (identity)) | ((sk_c6) = (multiply @ sk_c6 @ sk_c6)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl2135, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl2153, plain,
% 1.86/0.93 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c6))
% 1.86/0.93 | ((sk_c6) = (identity)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl2143, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl2159, plain,
% 1.86/0.93 ((((sk_c6) = (identity)) | ((sk_c6) = (identity)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl2153, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl87, plain,
% 1.86/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl75, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl118, plain,
% 1.86/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl75])).
% 1.86/0.93 thf(zip_derived_cl1, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.86/0.93 thf(zip_derived_cl395, plain, (((inverse @ identity) = (identity))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl2188, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 (((multiply @ X0 @ sk_c5) != (sk_c5))
% 1.86/0.93 | ((inverse @ X0) != (sk_c5))
% 1.86/0.93 | ((multiply @ X1 @ sk_c5) != (identity))
% 1.86/0.93 | ((inverse @ X1) != (identity))
% 1.86/0.93 | ((sk_c5) != (sk_c4))
% 1.86/0.93 | ((inverse @ X2) != (identity))
% 1.86/0.93 | ((X2) != (sk_c5))
% 1.86/0.93 | ((identity) != (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.86/0.93 | ((sk_c5) != (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl29, zip_derived_cl2160, zip_derived_cl0,
% 1.86/0.93 zip_derived_cl2160, zip_derived_cl2160, zip_derived_cl2160,
% 1.86/0.93 zip_derived_cl408, zip_derived_cl2160, zip_derived_cl2160,
% 1.86/0.93 zip_derived_cl408, zip_derived_cl2160, zip_derived_cl0,
% 1.86/0.93 zip_derived_cl2160, zip_derived_cl395, zip_derived_cl2160,
% 1.86/0.93 zip_derived_cl0, zip_derived_cl2160, zip_derived_cl2160,
% 1.86/0.93 zip_derived_cl0])).
% 1.86/0.93 thf(zip_derived_cl2189, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 (((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.86/0.93 | ((identity) != (sk_c4))
% 1.86/0.93 | ((X2) != (sk_c5))
% 1.86/0.93 | ((inverse @ X2) != (identity))
% 1.86/0.93 | ((sk_c5) != (sk_c4))
% 1.86/0.93 | ((inverse @ X1) != (identity))
% 1.86/0.93 | ((multiply @ X1 @ sk_c5) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (sk_c5))
% 1.86/0.93 | ((multiply @ X0 @ sk_c5) != (sk_c5)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2188])).
% 1.86/0.93 thf(zip_derived_cl1205, plain,
% 1.86/0.93 ((((identity) = (sk_c4)) | ((sk_c6) = (sk_c5)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1204])).
% 1.86/0.93 thf(prove_this_6, conjecture,
% 1.86/0.93 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c5 @ sk_c4 ) = ( sk_c6 ) ) ))).
% 1.86/0.93 thf(zf_stmt_16, negated_conjecture,
% 1.86/0.93 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.86/0.93 ( ( multiply @ sk_c5 @ sk_c4 ) = ( sk_c6 ) )),
% 1.86/0.93 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.86/0.93 thf(zip_derived_cl8, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c4) = (sk_c6)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.86/0.93 thf(zip_derived_cl1214, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ identity) = (sk_c6))
% 1.86/0.93 | ((sk_c6) = (sk_c5))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1205, zip_derived_cl8])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl1226, plain,
% 1.86/0.93 ((((sk_c5) = (sk_c6))
% 1.86/0.93 | ((sk_c6) = (sk_c5))
% 1.86/0.93 | ((multiply @ sk_c5 @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl1214, zip_derived_cl408])).
% 1.86/0.93 thf(zip_derived_cl1227, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4)) | ((sk_c5) = (sk_c6)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1226])).
% 1.86/0.93 thf(zip_derived_cl1205, plain,
% 1.86/0.93 ((((identity) = (sk_c4)) | ((sk_c6) = (sk_c5)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1204])).
% 1.86/0.93 thf(zip_derived_cl1243, plain,
% 1.86/0.93 ((((identity) = (multiply @ sk_c5 @ sk_c6))
% 1.86/0.93 | ((sk_c5) = (sk_c6))
% 1.86/0.93 | ((sk_c6) = (sk_c5)))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl1227, zip_derived_cl1205])).
% 1.86/0.93 thf(zip_derived_cl1247, plain,
% 1.86/0.93 ((((sk_c5) = (sk_c6)) | ((identity) = (multiply @ sk_c5 @ sk_c6)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl1243])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl2247, plain,
% 1.86/0.93 ((((sk_c5) = (identity)) | ((identity) = (sk_c5)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl1247, zip_derived_cl2160, zip_derived_cl2160,
% 1.86/0.93 zip_derived_cl408])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl0, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.86/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl2305, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 (((identity) != (identity))
% 1.86/0.93 | ((identity) != (sk_c4))
% 1.86/0.93 | ((X2) != (identity))
% 1.86/0.93 | ((inverse @ X2) != (identity))
% 1.86/0.93 | ((identity) != (sk_c4))
% 1.86/0.93 | ((inverse @ X1) != (identity))
% 1.86/0.93 | ((X1) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((X0) != (identity)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl2189, zip_derived_cl2248, zip_derived_cl2248,
% 1.86/0.93 zip_derived_cl0, zip_derived_cl2248, zip_derived_cl2248,
% 1.86/0.93 zip_derived_cl2248, zip_derived_cl408, zip_derived_cl2248,
% 1.86/0.93 zip_derived_cl2248, zip_derived_cl408, zip_derived_cl2248])).
% 1.86/0.93 thf(zip_derived_cl2306, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 (((X0) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((X1) != (identity))
% 1.86/0.93 | ((inverse @ X1) != (identity))
% 1.86/0.93 | ((inverse @ X2) != (identity))
% 1.86/0.93 | ((X2) != (identity))
% 1.86/0.93 | ((identity) != (sk_c4)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2305])).
% 1.86/0.93 thf(zip_derived_cl13, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4)) | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.86/0.93 thf(zip_derived_cl31, plain,
% 1.86/0.93 ((((multiply @ sk_c5 @ sk_c6) != (inverse @ sk_c6))
% 1.86/0.93 | ((inverse @ sk_c6) = (sk_c4)))),
% 1.86/0.93 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl408, plain,
% 1.86/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl395, plain, (((inverse @ identity) = (identity))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl2160, plain, (((sk_c6) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.86/0.93 thf(zip_derived_cl395, plain, (((inverse @ identity) = (identity))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl2190, plain,
% 1.86/0.93 ((((sk_c5) != (identity)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl31, zip_derived_cl2160, zip_derived_cl408,
% 1.86/0.93 zip_derived_cl2160, zip_derived_cl395, zip_derived_cl2160,
% 1.86/0.93 zip_derived_cl395])).
% 1.86/0.93 thf(zip_derived_cl2248, plain, (((sk_c5) = (identity))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 1.86/0.93 thf(zip_derived_cl2307, plain,
% 1.86/0.93 ((((identity) != (identity)) | ((identity) = (sk_c4)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl2190, zip_derived_cl2248])).
% 1.86/0.93 thf(zip_derived_cl2308, plain, (((identity) = (sk_c4))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2307])).
% 1.86/0.93 thf(zip_derived_cl2309, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 (((X0) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((X1) != (identity))
% 1.86/0.93 | ((inverse @ X1) != (identity))
% 1.86/0.93 | ((inverse @ X2) != (identity))
% 1.86/0.93 | ((X2) != (identity))
% 1.86/0.93 | ((identity) != (identity)))),
% 1.86/0.93 inference('demod', [status(thm)],
% 1.86/0.93 [zip_derived_cl2306, zip_derived_cl2308])).
% 1.86/0.93 thf(zip_derived_cl2310, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.86/0.93 (((X2) != (identity))
% 1.86/0.93 | ((inverse @ X2) != (identity))
% 1.86/0.93 | ((inverse @ X1) != (identity))
% 1.86/0.93 | ((X1) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((X0) != (identity)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2309])).
% 1.86/0.93 thf(zip_derived_cl2337, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 (((X0) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((X1) != (identity))
% 1.86/0.93 | ((inverse @ X1) != (identity))
% 1.86/0.93 | ((inverse @ identity) != (identity)))),
% 1.86/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2310])).
% 1.86/0.93 thf(zip_derived_cl395, plain, (((inverse @ identity) = (identity))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl2338, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 (((X0) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((X1) != (identity))
% 1.86/0.93 | ((inverse @ X1) != (identity))
% 1.86/0.93 | ((identity) != (identity)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl2337, zip_derived_cl395])).
% 1.86/0.93 thf(zip_derived_cl2339, plain,
% 1.86/0.93 (![X0 : $i, X1 : $i]:
% 1.86/0.93 (((inverse @ X1) != (identity))
% 1.86/0.93 | ((X1) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((X0) != (identity)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2338])).
% 1.86/0.93 thf(zip_derived_cl2340, plain,
% 1.86/0.93 (![X0 : $i]:
% 1.86/0.93 (((X0) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((inverse @ identity) != (identity)))),
% 1.86/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2339])).
% 1.86/0.93 thf(zip_derived_cl395, plain, (((inverse @ identity) = (identity))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl2341, plain,
% 1.86/0.93 (![X0 : $i]:
% 1.86/0.93 (((X0) != (identity))
% 1.86/0.93 | ((inverse @ X0) != (identity))
% 1.86/0.93 | ((identity) != (identity)))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl2340, zip_derived_cl395])).
% 1.86/0.93 thf(zip_derived_cl2342, plain,
% 1.86/0.93 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2341])).
% 1.86/0.93 thf(zip_derived_cl2343, plain, (((inverse @ identity) != (identity))),
% 1.86/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2342])).
% 1.86/0.93 thf(zip_derived_cl395, plain, (((inverse @ identity) = (identity))),
% 1.86/0.93 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl1])).
% 1.86/0.93 thf(zip_derived_cl2344, plain, (((identity) != (identity))),
% 1.86/0.93 inference('demod', [status(thm)], [zip_derived_cl2343, zip_derived_cl395])).
% 1.86/0.93 thf(zip_derived_cl2345, plain, ($false),
% 1.86/0.93 inference('simplify', [status(thm)], [zip_derived_cl2344])).
% 1.86/0.93
% 1.86/0.93 % SZS output end Refutation
% 1.86/0.93
% 1.86/0.93
% 1.86/0.93 % Terminating...
% 2.71/1.04 % Runner terminated.
% 2.71/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------