TSTP Solution File: GRP324-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP324-1 : 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.4GLxubPJOM true
% Computer : n031.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 01:51:12 EDT 2023
% Result : Unsatisfiable 1.37s 0.91s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP324-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4GLxubPJOM true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:42:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.08/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.32/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.32/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.91 % Solved by fo/fo7.sh.
% 1.37/0.91 % done 292 iterations in 0.116s
% 1.37/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.91 % SZS output start Refutation
% 1.37/0.91 thf(sk_c3_type, type, sk_c3: $i).
% 1.37/0.91 thf(sk_c6_type, type, sk_c6: $i).
% 1.37/0.91 thf(sk_c1_type, type, sk_c1: $i).
% 1.37/0.91 thf(sk_c5_type, type, sk_c5: $i).
% 1.37/0.91 thf(identity_type, type, identity: $i).
% 1.37/0.91 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.37/0.91 thf(sk_c8_type, type, sk_c8: $i).
% 1.37/0.91 thf(inverse_type, type, inverse: $i > $i).
% 1.37/0.91 thf(sk_c2_type, type, sk_c2: $i).
% 1.37/0.91 thf(sk_c7_type, type, sk_c7: $i).
% 1.37/0.91 thf(prove_this_37, conjecture,
% 1.37/0.91 (~( ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.37/0.91 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 1.37/0.91 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.37/0.91 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) ))).
% 1.37/0.91 thf(zf_stmt_0, negated_conjecture,
% 1.37/0.91 (( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.37/0.91 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 1.37/0.91 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.37/0.91 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 1.37/0.91 thf(zip_derived_cl39, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.37/0.91 (((inverse @ X0) != (sk_c7))
% 1.37/0.91 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.37/0.91 | ((inverse @ sk_c8) != (sk_c6))
% 1.37/0.91 | ((inverse @ X1) != (sk_c8))
% 1.37/0.91 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6))
% 1.37/0.91 | ((inverse @ X2) != (sk_c8))
% 1.37/0.91 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.37/0.91 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.37/0.91 | ((inverse @ X4) != (sk_c7))
% 1.37/0.91 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.91 thf(zip_derived_cl40, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.37/0.91 (((inverse @ X0) != (sk_c7))
% 1.37/0.91 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 1.37/0.91 | ((inverse @ sk_c8) != (sk_c6))
% 1.37/0.91 | ((inverse @ X1) != (sk_c8))
% 1.37/0.91 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6))
% 1.37/0.91 | ((inverse @ X2) != (sk_c8))
% 1.37/0.91 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.37/0.91 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.37/0.91 | ((inverse @ X4) != (sk_c7))
% 1.37/0.91 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.37/0.91 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 1.37/0.91 thf(prove_this_18, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.37/0.91 thf(zf_stmt_1, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.37/0.91 thf(zip_derived_cl20, plain,
% 1.37/0.91 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.91 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl56, plain,
% 1.37/0.91 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.37/0.91 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(associativity, axiom,
% 1.37/0.91 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.37/0.91 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl71, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((multiply @ identity @ X0)
% 1.37/0.91 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.37/0.91 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl127, plain,
% 1.37/0.91 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.37/0.91 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl104])).
% 1.37/0.91 thf(prove_this_12, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_2, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.37/0.91 thf(zip_derived_cl14, plain,
% 1.37/0.91 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.37/0.91 thf(zip_derived_cl371, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.37/0.91 = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c5) = (sk_c7))
% 1.37/0.91 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl14])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl388, plain,
% 1.37/0.91 ((((identity) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c5) = (sk_c7))
% 1.37/0.91 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl371, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl389, plain,
% 1.37/0.91 ((((inverse @ sk_c5) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl388])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl392, plain,
% 1.37/0.91 ((((multiply @ sk_c7 @ sk_c5) = (identity)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl471, plain,
% 1.37/0.91 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.37/0.91 | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl392, zip_derived_cl104])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl121, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl104])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl118, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl104])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl789, plain,
% 1.37/0.91 ((((sk_c5) = (inverse @ sk_c7)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl471, zip_derived_cl751])).
% 1.37/0.91 thf(prove_this_17, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.37/0.91 thf(zf_stmt_3, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.37/0.91 thf(zip_derived_cl19, plain,
% 1.37/0.91 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl121, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl104])).
% 1.37/0.91 thf(zip_derived_cl804, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl751, zip_derived_cl121])).
% 1.37/0.91 thf(zip_derived_cl1010, plain,
% 1.37/0.91 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl804])).
% 1.37/0.91 thf(prove_this_11, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_4, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.37/0.91 thf(zip_derived_cl13, plain,
% 1.37/0.91 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.37/0.91 thf(zip_derived_cl1291, plain,
% 1.37/0.91 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1010, zip_derived_cl13])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl1309, plain,
% 1.37/0.91 ((((identity) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1291, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1310, plain,
% 1.37/0.91 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1309])).
% 1.37/0.91 thf(zip_derived_cl1593, plain,
% 1.37/0.91 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((identity) = (sk_c8))
% 1.37/0.91 | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl789, zip_derived_cl1310])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl1596, plain,
% 1.37/0.91 ((((identity) = (sk_c6))
% 1.37/0.91 | ((identity) = (sk_c8))
% 1.37/0.91 | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1593, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1597, plain,
% 1.37/0.91 ((((identity) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1596])).
% 1.37/0.91 thf(prove_this_16, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.37/0.91 thf(zf_stmt_5, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.37/0.91 thf(zip_derived_cl18, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl45, plain,
% 1.37/0.91 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl124, plain,
% 1.37/0.91 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl104])).
% 1.37/0.91 thf(prove_this_10, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_6, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.37/0.91 thf(zip_derived_cl12, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.37/0.91 thf(zip_derived_cl175, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.37/0.91 = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl12])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl191, plain,
% 1.37/0.91 ((((identity) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl175, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl192, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 1.37/0.91 thf(zip_derived_cl1635, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (identity))
% 1.37/0.91 | ((identity) = (sk_c8))
% 1.37/0.91 | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1597, zip_derived_cl192])).
% 1.37/0.91 thf(zip_derived_cl1643, plain,
% 1.37/0.91 ((((identity) = (sk_c8)) | ((inverse @ sk_c8) = (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1635])).
% 1.37/0.91 thf(zip_derived_cl804, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl751, zip_derived_cl121])).
% 1.37/0.91 thf(zip_derived_cl1672, plain,
% 1.37/0.91 ((((sk_c8) = (inverse @ identity)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1643, zip_derived_cl804])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl120, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl104])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl170, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl104])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl736, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1680, plain,
% 1.37/0.91 ((((sk_c8) = (identity)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1672, zip_derived_cl736])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl736, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl1719, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.37/0.91 (((inverse @ X0) != (sk_c7))
% 1.37/0.91 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 1.37/0.91 | ((identity) != (sk_c6))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (sk_c7))
% 1.37/0.91 | ((sk_c7) != (sk_c6))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (X3))
% 1.37/0.91 | ((X3) != (sk_c7))
% 1.37/0.91 | ((inverse @ X4) != (sk_c7))
% 1.37/0.91 | ((multiply @ X4 @ sk_c7) != (identity))
% 1.37/0.91 | ((sk_c7) != (sk_c6)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl40, zip_derived_cl1681, zip_derived_cl751,
% 1.37/0.91 zip_derived_cl1681, zip_derived_cl736, zip_derived_cl1681,
% 1.37/0.91 zip_derived_cl1681, zip_derived_cl751, zip_derived_cl1681,
% 1.37/0.91 zip_derived_cl0, zip_derived_cl1681, zip_derived_cl1681,
% 1.37/0.91 zip_derived_cl751, zip_derived_cl1681, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1681, zip_derived_cl1681, zip_derived_cl751])).
% 1.37/0.91 thf(zip_derived_cl1720, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.37/0.91 (((multiply @ X4 @ sk_c7) != (identity))
% 1.37/0.91 | ((inverse @ X4) != (sk_c7))
% 1.37/0.91 | ((X3) != (sk_c7))
% 1.37/0.91 | ((X2) != (X3))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((sk_c7) != (sk_c6))
% 1.37/0.91 | ((X1) != (sk_c7))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((identity) != (sk_c6))
% 1.37/0.91 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 1.37/0.91 | ((inverse @ X0) != (sk_c7)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1719])).
% 1.37/0.91 thf(prove_this_31, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_7, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.37/0.91 thf(zip_derived_cl33, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl57, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl104])).
% 1.37/0.91 thf(prove_this_25, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.37/0.91 thf(zf_stmt_8, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.37/0.91 thf(zip_derived_cl27, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.37/0.91 thf(zip_derived_cl437, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.37/0.91 = (sk_c3))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl27])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl454, plain,
% 1.37/0.91 ((((identity) = (sk_c3))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl437, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl455, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c3)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl454])).
% 1.37/0.91 thf(prove_this_19, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.37/0.91 thf(zf_stmt_9, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.37/0.91 thf(zip_derived_cl21, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.37/0.91 thf(zip_derived_cl474, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl455, zip_derived_cl21])).
% 1.37/0.91 thf(zip_derived_cl484, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl474])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl790, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl484, zip_derived_cl751])).
% 1.37/0.91 thf(prove_this_34, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_10, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 1.37/0.91 thf(zip_derived_cl36, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl46, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl104, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl135, plain,
% 1.37/0.91 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl104])).
% 1.37/0.91 thf(prove_this_28, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.37/0.91 thf(zf_stmt_11, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.37/0.91 thf(zip_derived_cl30, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.37/0.91 thf(zip_derived_cl211, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.37/0.91 = (sk_c3))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl30])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl228, plain,
% 1.37/0.91 ((((identity) = (sk_c3))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl211, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl229, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6)) | ((identity) = (sk_c3)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl228])).
% 1.37/0.91 thf(prove_this_22, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.37/0.91 thf(zf_stmt_12, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.37/0.91 thf(zip_derived_cl24, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.37/0.91 thf(zip_derived_cl237, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6))
% 1.37/0.91 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl24])).
% 1.37/0.91 thf(zip_derived_cl241, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl237])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl786, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl241, zip_derived_cl751])).
% 1.37/0.91 thf(zip_derived_cl1152, plain,
% 1.37/0.91 ((((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7))
% 1.37/0.91 | ((sk_c8) = (sk_c7))
% 1.37/0.91 | ((sk_c8) = (sk_c7)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl790, zip_derived_cl786])).
% 1.37/0.91 thf(zip_derived_cl1153, plain,
% 1.37/0.91 ((((sk_c8) = (sk_c7)) | ((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1152])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl736, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1771, plain,
% 1.37/0.91 ((((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl1153, zip_derived_cl1681, zip_derived_cl1681,
% 1.37/0.91 zip_derived_cl736, zip_derived_cl1681, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(prove_this_1, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.37/0.91 thf(zf_stmt_13, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.37/0.91 thf(zip_derived_cl3, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 1.37/0.91 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1681, plain, (((sk_c8) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl1684, plain, ((((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl3, zip_derived_cl1681, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1681, zip_derived_cl751])).
% 1.37/0.91 thf(zip_derived_cl1685, plain, (((sk_c7) = (sk_c6))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1684])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(zip_derived_cl1787, plain, (((identity) = (sk_c6))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl1685, zip_derived_cl1772])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(zip_derived_cl1787, plain, (((identity) = (sk_c6))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl1685, zip_derived_cl1772])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(zip_derived_cl751, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl118])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(zip_derived_cl1772, plain, (((identity) = (sk_c7))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 1.37/0.91 thf(zip_derived_cl1801, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.37/0.91 (((X4) != (identity))
% 1.37/0.91 | ((inverse @ X4) != (identity))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((X2) != (X3))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((identity) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((identity) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl1720, zip_derived_cl1772, zip_derived_cl751,
% 1.37/0.91 zip_derived_cl1772, zip_derived_cl1772, zip_derived_cl1772,
% 1.37/0.91 zip_derived_cl1787, zip_derived_cl1772, zip_derived_cl1787,
% 1.37/0.91 zip_derived_cl1772, zip_derived_cl751, zip_derived_cl1772,
% 1.37/0.91 zip_derived_cl1772])).
% 1.37/0.91 thf(zip_derived_cl1802, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (X3))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((inverse @ X4) != (identity))
% 1.37/0.91 | ((X4) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1801])).
% 1.37/0.91 thf(zip_derived_cl1803, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.91 (((X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((inverse @ X3) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl1802])).
% 1.37/0.91 thf(zip_derived_cl1804, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((inverse @ identity) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl1803])).
% 1.37/0.91 thf(zip_derived_cl736, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1805, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((identity) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1804, zip_derived_cl736])).
% 1.37/0.91 thf(zip_derived_cl1806, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 (((X2) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1805])).
% 1.37/0.91 thf(zip_derived_cl1807, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ identity) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl1806])).
% 1.37/0.91 thf(zip_derived_cl736, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1808, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((identity) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1807, zip_derived_cl736])).
% 1.37/0.91 thf(zip_derived_cl1809, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 (((X1) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1808])).
% 1.37/0.91 thf(zip_derived_cl1810, plain,
% 1.37/0.91 (![X0 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ identity) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl1809])).
% 1.37/0.91 thf(zip_derived_cl736, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1811, plain,
% 1.37/0.91 (![X0 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((identity) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1810, zip_derived_cl736])).
% 1.37/0.91 thf(zip_derived_cl1812, plain,
% 1.37/0.91 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1811])).
% 1.37/0.91 thf(zip_derived_cl1813, plain, (((inverse @ identity) != (identity))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl1812])).
% 1.37/0.91 thf(zip_derived_cl736, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1814, plain, (((identity) != (identity))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1813, zip_derived_cl736])).
% 1.37/0.91 thf(zip_derived_cl1815, plain, ($false),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1814])).
% 1.37/0.91
% 1.37/0.91 % SZS output end Refutation
% 1.37/0.91
% 1.37/0.91
% 1.37/0.91 % Terminating...
% 1.58/0.99 % Runner terminated.
% 1.58/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------