%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP214-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.H54DvJ942M true
% Computer : n024.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 Oct 2 04:36:01 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.82s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP214-1 : TPTP v9.2.0. 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.H54DvJ942M true
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 14:06:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.82 % Solved by fo/fo7.sh.
% 0.58/0.82 % done 146 iterations in 0.054s
% 0.58/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.82 % SZS output start Refutation
% 0.58/0.82 thf(sk_c6_type, type, sk_c6: $i).
% 0.58/0.82 thf(sk_c4_type, type, sk_c4: $i).
% 0.58/0.82 thf(sk_c5_type, type, sk_c5: $i).
% 0.58/0.82 thf(identity_type, type, identity: $i).
% 0.58/0.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.82 thf(sk_c7_type, type, sk_c7: $i).
% 0.58/0.82 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.82 thf(sk_c3_type, type, sk_c3: $i).
% 0.58/0.82 thf(sk_c1_type, type, sk_c1: $i).
% 0.58/0.82 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(associativity, axiom,
% 0.58/0.82 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.58/0.82 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.58/0.82 thf(zip_derived_cl2, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.82 thf(zip_derived_cl91, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((multiply @ identity @ X0)
% 0.58/0.82 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.58/0.82 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.58/0.82 thf(zip_derived_cl0, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.82 thf(zip_derived_cl107, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl0])).
% 0.58/0.82 thf(zip_derived_cl193, plain,
% 0.58/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl107])).
% 0.58/0.82 thf(zip_derived_cl107, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl0])).
% 0.58/0.82 thf(zip_derived_cl107, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl0])).
% 0.58/0.82 thf(zip_derived_cl188, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl107])).
% 0.58/0.82 thf(zip_derived_cl341, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl188])).
% 0.58/0.82 thf(zip_derived_cl193, plain,
% 0.58/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl107])).
% 0.58/0.82 thf(zip_derived_cl369, plain,
% 0.58/0.82 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl341, zip_derived_cl193])).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(zip_derived_cl378, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl0, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.82 thf(zip_derived_cl107, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl0])).
% 0.58/0.82 thf(zip_derived_cl192, plain,
% 0.58/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 0.58/0.82 thf(zip_derived_cl107, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl0])).
% 0.58/0.82 thf(zip_derived_cl224, plain,
% 0.58/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl192, zip_derived_cl107])).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(zip_derived_cl311, plain, (((inverse @ identity) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl1])).
% 0.58/0.82 thf(prove_this_13, conjecture,
% 0.58/0.82 (~( ( ( inverse @ X5 ) != ( X1 ) ) |
% 0.58/0.82 ( ( multiply @ X5 @ X1 ) != ( sk_c6 ) ) |
% 0.58/0.82 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.58/0.82 ( ( multiply @ X2 @ sk_c7 ) != ( X1 ) ) |
% 0.58/0.82 ( ( multiply @ sk_c7 @ X4 ) != ( sk_c6 ) ) |
% 0.58/0.82 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.58/0.82 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 0.58/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.82 (( ( inverse @ X5 ) != ( X1 ) ) |
% 0.58/0.82 ( ( multiply @ X5 @ X1 ) != ( sk_c6 ) ) |
% 0.58/0.82 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.58/0.82 ( ( multiply @ X2 @ sk_c7 ) != ( X1 ) ) |
% 0.58/0.82 ( ( multiply @ sk_c7 @ X4 ) != ( sk_c6 ) ) |
% 0.58/0.82 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.58/0.82 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) )),
% 0.58/0.82 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.58/0.82 thf(zip_derived_cl15, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.82 (((inverse @ X1) != (X0))
% 0.58/0.82 | ((multiply @ X1 @ X0) != (sk_c6))
% 0.58/0.82 | ((inverse @ X2) != (sk_c7))
% 0.58/0.82 | ((multiply @ X2 @ sk_c7) != (X0))
% 0.58/0.82 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 0.58/0.82 | ((inverse @ X4) != (sk_c7))
% 0.58/0.82 | ((multiply @ X4 @ sk_c7) != (sk_c6)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.82 thf(zip_derived_cl16, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.82 (((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.58/0.82 | ((multiply @ X2 @ sk_c7) != (inverse @ X3))
% 0.58/0.82 | ((inverse @ X2) != (sk_c7))
% 0.58/0.82 | ((multiply @ X3 @ (inverse @ X3)) != (sk_c6)))),
% 0.58/0.82 inference('eq_res', [status(thm)], [zip_derived_cl15])).
% 0.58/0.82 thf(prove_this_6, conjecture,
% 0.58/0.82 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.58/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.58/0.82 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.58/0.82 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.58/0.82 thf(zip_derived_cl8, plain,
% 0.58/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(zip_derived_cl20, plain,
% 0.58/0.82 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl20, plain,
% 0.58/0.82 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl107, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl0])).
% 0.58/0.82 thf(zip_derived_cl196, plain,
% 0.58/0.82 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl107])).
% 0.58/0.82 thf(zip_derived_cl8, plain,
% 0.58/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.82 thf(prove_this_5, conjecture,
% 0.58/0.82 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.58/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.58/0.82 thf(zf_stmt_2, negated_conjecture,
% 0.58/0.82 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.58/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.58/0.82 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.58/0.82 thf(zip_derived_cl7, plain,
% 0.58/0.82 ((((multiply @ sk_c3 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/0.82 thf(zip_derived_cl8, plain,
% 0.58/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.82 thf(prove_this_7, conjecture,
% 0.58/0.82 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.58/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.58/0.82 thf(zf_stmt_3, negated_conjecture,
% 0.58/0.82 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.58/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.58/0.82 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.58/0.82 thf(zip_derived_cl9, plain,
% 0.58/0.82 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/0.82 thf(prove_this_8, conjecture,
% 0.58/0.82 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.58/0.82 thf(zf_stmt_4, negated_conjecture,
% 0.58/0.82 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.58/0.82 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.58/0.82 thf(zip_derived_cl10, plain,
% 0.58/0.82 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/0.82 thf(zip_derived_cl15, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.82 (((inverse @ X1) != (X0))
% 0.58/0.82 | ((multiply @ X1 @ X0) != (sk_c6))
% 0.58/0.82 | ((inverse @ X2) != (sk_c7))
% 0.58/0.82 | ((multiply @ X2 @ sk_c7) != (X0))
% 0.58/0.82 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 0.58/0.82 | ((inverse @ X4) != (sk_c7))
% 0.58/0.82 | ((multiply @ X4 @ sk_c7) != (sk_c6)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.82 thf(zip_derived_cl23, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.82 (((sk_c5) != (X0))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ X1) != (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.58/0.82 | ((multiply @ X3 @ sk_c7) != (X0))
% 0.58/0.82 | ((inverse @ X3) != (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c4 @ X0) != (sk_c6)))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl15])).
% 0.58/0.82 thf(zip_derived_cl52, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((multiply @ sk_c4 @ sk_c5) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (sk_c7))
% 0.58/0.82 | ((multiply @ X0 @ sk_c7) != (sk_c5))
% 0.58/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.58/0.82 | ((inverse @ X2) != (sk_c7))
% 0.58/0.82 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('eq_res', [status(thm)], [zip_derived_cl23])).
% 0.58/0.82 thf(zip_derived_cl55, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((sk_c6) != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.58/0.82 | ((multiply @ X2 @ sk_c7) != (sk_c5))
% 0.58/0.82 | ((inverse @ X2) != (sk_c7)))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl52])).
% 0.58/0.82 thf(zip_derived_cl59, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((inverse @ X2) != (sk_c7))
% 0.58/0.82 | ((multiply @ X2 @ sk_c7) != (sk_c5))
% 0.58/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (sk_c7))
% 0.58/0.82 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl55])).
% 0.58/0.82 thf(zip_derived_cl62, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 (((sk_c7) != (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.58/0.82 | ((multiply @ sk_c3 @ sk_c7) != (sk_c5)))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl59])).
% 0.58/0.82 thf(zip_derived_cl66, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 (((multiply @ sk_c3 @ sk_c7) != (sk_c5))
% 0.58/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (sk_c7))
% 0.58/0.82 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl62])).
% 0.58/0.82 thf(zip_derived_cl71, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 (((multiply @ sk_c3 @ sk_c7) != (multiply @ sk_c3 @ sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6)))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl66])).
% 0.58/0.82 thf(zip_derived_cl73, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 (((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (sk_c7))
% 0.58/0.82 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl71])).
% 0.58/0.82 thf(zip_derived_cl75, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((sk_c7) != (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c3 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((multiply @ sk_c7 @ X0) != (sk_c6)))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl73])).
% 0.58/0.82 thf(zip_derived_cl79, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((multiply @ sk_c7 @ X0) != (sk_c6))
% 0.58/0.82 | ((multiply @ sk_c3 @ sk_c7) != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl75])).
% 0.58/0.82 thf(zip_derived_cl235, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.58/0.82 != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c7 @ X0) != (sk_c6)))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl79])).
% 0.58/0.82 thf(zip_derived_cl2, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.82 thf(zip_derived_cl0, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(zip_derived_cl248, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((identity) != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c7 @ X0) != (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)],
% 0.58/0.82 [zip_derived_cl235, zip_derived_cl2, zip_derived_cl0,
% 0.58/0.82 zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl249, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((multiply @ sk_c7 @ X0) != (sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((identity) != (sk_c6)))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 0.58/0.82 thf(zip_derived_cl250, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((multiply @ sk_c7 @ X0) != (identity))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((identity) != (sk_c6)))),
% 0.58/0.82 inference('local_rewriting', [status(thm)], [zip_derived_cl249])).
% 0.58/0.82 thf(zip_derived_cl9, plain,
% 0.58/0.82 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/0.82 thf(zip_derived_cl10, plain,
% 0.58/0.82 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(zip_derived_cl21, plain,
% 0.58/0.82 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl2, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.82 thf(zip_derived_cl98, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((multiply @ identity @ X0)
% 0.58/0.82 = (multiply @ sk_c5 @ (multiply @ sk_c4 @ X0)))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl2])).
% 0.58/0.82 thf(zip_derived_cl0, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.82 thf(zip_derived_cl110, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((X0) = (multiply @ sk_c5 @ (multiply @ sk_c4 @ X0)))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.58/0.82 thf(zip_derived_cl125, plain,
% 0.58/0.82 ((((sk_c5) = (multiply @ sk_c5 @ sk_c6))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl110])).
% 0.58/0.82 thf(zip_derived_cl129, plain,
% 0.58/0.82 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c5 @ sk_c6)))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl125])).
% 0.58/0.82 thf(zip_derived_cl107, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl0])).
% 0.58/0.82 thf(zip_derived_cl206, plain,
% 0.58/0.82 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c5))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl107])).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(zip_derived_cl217, plain,
% 0.58/0.82 ((((sk_c6) = (identity)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl252, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((multiply @ sk_c7 @ X0) != (identity)))),
% 0.58/0.82 inference('clc', [status(thm)], [zip_derived_cl250, zip_derived_cl217])).
% 0.58/0.82 thf(zip_derived_cl254, plain,
% 0.58/0.82 ((((identity) != (identity))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7))
% 0.58/0.82 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl252])).
% 0.58/0.82 thf(zip_derived_cl260, plain, (((inverse @ sk_c1) = (sk_c7))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.58/0.82 thf(zip_derived_cl260, plain, (((inverse @ sk_c1) = (sk_c7))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.58/0.82 thf(zip_derived_cl260, plain, (((inverse @ sk_c1) = (sk_c7))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.58/0.82 thf(zip_derived_cl260, plain, (((inverse @ sk_c1) = (sk_c7))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.58/0.82 thf(zip_derived_cl260, plain, (((inverse @ sk_c1) = (sk_c7))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.58/0.82 thf(zip_derived_cl272, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.82 (((multiply @ X0 @ (inverse @ sk_c1)) != (sk_c6))
% 0.58/0.82 | ((inverse @ X0) != (inverse @ sk_c1))
% 0.58/0.82 | ((multiply @ (inverse @ sk_c1) @ X1) != (sk_c6))
% 0.58/0.82 | ((multiply @ X2 @ (inverse @ sk_c1)) != (inverse @ X3))
% 0.58/0.82 | ((inverse @ X2) != (inverse @ sk_c1))
% 0.58/0.82 | ((multiply @ X3 @ (inverse @ X3)) != (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)],
% 0.58/0.82 [zip_derived_cl16, zip_derived_cl260, zip_derived_cl260,
% 0.58/0.82 zip_derived_cl260, zip_derived_cl260, zip_derived_cl260])).
% 0.58/0.82 thf(zip_derived_cl299, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((multiply @ X0 @ (inverse @ X0)) != (sk_c6))
% 0.58/0.82 | ((inverse @ X1) != (inverse @ sk_c1))
% 0.58/0.82 | ((multiply @ X1 @ (inverse @ sk_c1)) != (inverse @ X0))
% 0.58/0.82 | ((multiply @ (inverse @ sk_c1) @ X2) != (sk_c6))
% 0.58/0.82 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) != (sk_c6)))),
% 0.58/0.82 inference('eq_res', [status(thm)], [zip_derived_cl272])).
% 0.58/0.82 thf(zip_derived_cl300, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((multiply @ X0 @ (inverse @ X0))
% 0.58/0.82 != (multiply @ sk_c1 @ (inverse @ sk_c1)))
% 0.58/0.82 | ((inverse @ X1) != (inverse @ sk_c1))
% 0.58/0.82 | ((multiply @ X1 @ (inverse @ sk_c1)) != (inverse @ X0))
% 0.58/0.82 | ((multiply @ (inverse @ sk_c1) @ X2)
% 0.58/0.82 != (multiply @ sk_c1 @ (inverse @ sk_c1)))
% 0.58/0.82 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) != (sk_c6)))),
% 0.58/0.82 inference('local_rewriting', [status(thm)], [zip_derived_cl299])).
% 0.58/0.82 thf(zip_derived_cl378, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl378, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl378, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl378, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl391, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((identity) != (identity))
% 0.58/0.82 | ((inverse @ X1) != (inverse @ sk_c1))
% 0.58/0.82 | ((multiply @ X1 @ (inverse @ sk_c1)) != (inverse @ X0))
% 0.58/0.82 | ((multiply @ (inverse @ sk_c1) @ X2) != (identity))
% 0.58/0.82 | ((identity) != (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)],
% 0.58/0.82 [zip_derived_cl300, zip_derived_cl378, zip_derived_cl378,
% 0.58/0.82 zip_derived_cl378, zip_derived_cl378])).
% 0.58/0.82 thf(zip_derived_cl392, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((identity) != (sk_c6))
% 0.58/0.82 | ((multiply @ (inverse @ sk_c1) @ X2) != (identity))
% 0.58/0.82 | ((multiply @ X1 @ (inverse @ sk_c1)) != (inverse @ X0))
% 0.58/0.82 | ((inverse @ X1) != (inverse @ sk_c1)))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl391])).
% 0.58/0.82 thf(prove_this_4, conjecture,
% 0.58/0.82 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.82 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.58/0.82 thf(zf_stmt_5, negated_conjecture,
% 0.58/0.82 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.82 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.58/0.82 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.58/0.82 thf(zip_derived_cl6, plain,
% 0.58/0.82 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.58/0.82 thf(zip_derived_cl260, plain, (((inverse @ sk_c1) = (sk_c7))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.58/0.82 thf(zip_derived_cl266, plain,
% 0.58/0.82 ((((inverse @ sk_c4) = (sk_c5))
% 0.58/0.82 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl260])).
% 0.58/0.82 thf(zip_derived_cl193, plain,
% 0.58/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl107])).
% 0.58/0.82 thf(zip_derived_cl307, plain,
% 0.58/0.82 ((((sk_c4) = (multiply @ (inverse @ sk_c5) @ identity))
% 0.58/0.82 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c6)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl193])).
% 0.58/0.82 thf(zip_derived_cl341, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl188])).
% 0.58/0.82 thf(zip_derived_cl363, plain,
% 0.58/0.82 ((((sk_c4) = (inverse @ sk_c5))
% 0.58/0.82 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl307, zip_derived_cl341])).
% 0.58/0.82 thf(zip_derived_cl378, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl394, plain,
% 0.58/0.82 ((((sk_c4) = (inverse @ sk_c5)) | ((identity) = (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl363, zip_derived_cl378])).
% 0.58/0.82 thf(prove_this_3, conjecture,
% 0.58/0.82 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.58/0.82 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.58/0.82 thf(zf_stmt_6, negated_conjecture,
% 0.58/0.82 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.58/0.82 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.58/0.82 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.58/0.82 thf(zip_derived_cl5, plain,
% 0.58/0.82 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.58/0.82 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.58/0.82 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.58/0.82 thf(zip_derived_cl260, plain, (((inverse @ sk_c1) = (sk_c7))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.58/0.82 thf(zip_derived_cl265, plain,
% 0.58/0.82 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.58/0.82 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl260])).
% 0.58/0.82 thf(zip_derived_cl378, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl471, plain,
% 0.58/0.82 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl265, zip_derived_cl378])).
% 0.58/0.82 thf(zip_derived_cl476, plain,
% 0.58/0.82 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c6))
% 0.58/0.82 | ((identity) = (sk_c6))
% 0.58/0.82 | ((identity) = (sk_c6)))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl394, zip_derived_cl471])).
% 0.58/0.82 thf(zip_derived_cl1, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.82 thf(zip_derived_cl478, plain,
% 0.58/0.82 ((((identity) = (sk_c6))
% 0.58/0.82 | ((identity) = (sk_c6))
% 0.58/0.82 | ((identity) = (sk_c6)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl476, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl479, plain, (((identity) = (sk_c6))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl478])).
% 0.58/0.82 thf(zip_derived_cl488, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((identity) != (identity))
% 0.58/0.82 | ((multiply @ (inverse @ sk_c1) @ X2) != (identity))
% 0.58/0.82 | ((multiply @ X1 @ (inverse @ sk_c1)) != (inverse @ X0))
% 0.58/0.82 | ((inverse @ X1) != (inverse @ sk_c1)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl479])).
% 0.58/0.82 thf(zip_derived_cl489, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.82 (((inverse @ X1) != (inverse @ sk_c1))
% 0.58/0.82 | ((multiply @ X1 @ (inverse @ sk_c1)) != (inverse @ X0))
% 0.58/0.82 | ((multiply @ (inverse @ sk_c1) @ X2) != (identity)))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl488])).
% 0.58/0.82 thf(zip_derived_cl494, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 (((multiply @ (inverse @ sk_c1) @ X0) != (identity))
% 0.58/0.82 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) != (inverse @ X1)))),
% 0.58/0.82 inference('eq_res', [status(thm)], [zip_derived_cl489])).
% 0.58/0.82 thf(zip_derived_cl378, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.82 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl1])).
% 0.58/0.82 thf(zip_derived_cl495, plain,
% 0.58/0.82 (![X0 : $i, X1 : $i]:
% 0.58/0.82 (((multiply @ (inverse @ sk_c1) @ X0) != (identity))
% 0.58/0.82 | ((identity) != (inverse @ X1)))),
% 0.58/0.82 inference('demod', [status(thm)], [zip_derived_cl494, zip_derived_cl378])).
% 0.58/0.82 thf(zip_derived_cl496, plain,
% 0.58/0.82 (![X0 : $i]:
% 0.58/0.82 (((identity) != (identity))
% 0.58/0.82 | ((multiply @ (inverse @ sk_c1) @ X0) != (identity)))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl495])).
% 0.58/0.82 thf(zip_derived_cl498, plain,
% 0.58/0.82 (![X0 : $i]: ((multiply @ (inverse @ sk_c1) @ X0) != (identity))),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl496])).
% 0.58/0.82 thf(zip_derived_cl501, plain, (((identity) != (identity))),
% 0.58/0.82 inference('sup-', [status(thm)], [zip_derived_cl378, zip_derived_cl498])).
% 0.58/0.82 thf(zip_derived_cl504, plain, ($false),
% 0.58/0.82 inference('simplify', [status(thm)], [zip_derived_cl501])).
% 0.58/0.82
% 0.58/0.82 % SZS output end Refutation
% 0.58/0.82
% 0.58/0.82
% 0.58/0.82 % Terminating...
% 1.50/0.89 % Runner terminated.
% 1.50/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------