%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP276-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pUhUAar6E9 true
% Computer : n025.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 04:36:08 PM UTC 2025
% Result : Unsatisfiable 0.57s 1.05s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP276-1 : TPTP v9.2.0. Released v2.5.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pUhUAar6E9 true
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:24:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.54/0.66 % Total configuration time : 435
% 0.54/0.66 % Estimated wc time : 1092
% 0.54/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.05 % Solved by fo/fo13.sh.
% 0.57/1.05 % done 657 iterations in 0.258s
% 0.57/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.05 % SZS output start Refutation
% 0.57/1.05 thf(sk_c2_type, type, sk_c2: $i).
% 0.57/1.05 thf(sk_c6_type, type, sk_c6: $i).
% 0.57/1.05 thf(sk_c3_type, type, sk_c3: $i).
% 0.57/1.05 thf(identity_type, type, identity: $i).
% 0.57/1.05 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/1.05 thf(sk_c7_type, type, sk_c7: $i).
% 0.57/1.05 thf(inverse_type, type, inverse: $i > $i).
% 0.57/1.05 thf(sk_c5_type, type, sk_c5: $i).
% 0.57/1.05 thf(sk_c1_type, type, sk_c1: $i).
% 0.57/1.05 thf(prove_this_16, conjecture,
% 0.57/1.05 (~( ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.57/1.05 thf(zf_stmt_0, negated_conjecture,
% 0.57/1.05 (( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.57/1.05 thf(zip_derived_cl18, plain,
% 0.57/1.05 ((((inverse @ sk_c7) = (sk_c5)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.05 thf(prove_this_9, conjecture,
% 0.57/1.05 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.57/1.05 thf(zf_stmt_1, negated_conjecture,
% 0.57/1.05 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.57/1.05 thf(zip_derived_cl11, plain,
% 0.57/1.05 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/1.05 thf(prove_this_8, conjecture,
% 0.57/1.05 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.57/1.05 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.57/1.05 thf(zf_stmt_2, negated_conjecture,
% 0.57/1.05 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.57/1.05 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.57/1.05 thf(zip_derived_cl10, plain,
% 0.57/1.05 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.05 thf(prove_this_2, conjecture,
% 0.57/1.05 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.57/1.05 thf(zf_stmt_3, negated_conjecture,
% 0.57/1.05 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.57/1.05 thf(zip_derived_cl4, plain,
% 0.57/1.05 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/1.05 thf(prove_this_3, conjecture,
% 0.57/1.05 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.57/1.05 thf(zf_stmt_4, negated_conjecture,
% 0.57/1.05 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.57/1.05 thf(zip_derived_cl5, plain,
% 0.57/1.05 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.05 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.57/1.05 thf(zip_derived_cl1, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.05 thf(zip_derived_cl40, plain,
% 0.57/1.05 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 0.57/1.05 thf(associativity, axiom,
% 0.57/1.05 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.57/1.05 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.57/1.05 thf(zip_derived_cl2, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/1.05 inference('cnf', [status(esa)], [associativity])).
% 0.57/1.05 thf(zip_derived_cl77, plain,
% 0.57/1.05 (![X0 : $i]:
% 0.57/1.05 (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ identity @ X0)
% 0.57/1.05 = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl2])).
% 0.57/1.05 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.57/1.05 thf(zip_derived_cl0, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.57/1.05 thf(zip_derived_cl78, plain,
% 0.57/1.05 (![X0 : $i]:
% 0.57/1.05 (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl77, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl121, plain,
% 0.57/1.05 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl78])).
% 0.57/1.05 thf(zip_derived_cl125, plain,
% 0.57/1.05 ((((sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 0.57/1.05 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.57/1.05 thf(prove_this_4, conjecture,
% 0.57/1.05 (~( ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.57/1.05 thf(zf_stmt_5, negated_conjecture,
% 0.57/1.05 (( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.57/1.05 thf(zip_derived_cl6, plain,
% 0.57/1.05 ((((inverse @ sk_c7) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.05 thf(zip_derived_cl1, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.05 thf(zip_derived_cl41, plain,
% 0.57/1.05 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ sk_c5 @ sk_c7) = (identity)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.57/1.05 thf(zip_derived_cl2, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/1.05 inference('cnf', [status(esa)], [associativity])).
% 0.57/1.05 thf(zip_derived_cl79, plain,
% 0.57/1.05 (![X0 : $i]:
% 0.57/1.05 (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ identity @ X0)
% 0.57/1.05 = (multiply @ sk_c5 @ (multiply @ sk_c7 @ X0))))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl2])).
% 0.57/1.05 thf(zip_derived_cl0, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.57/1.05 thf(zip_derived_cl80, plain,
% 0.57/1.05 (![X0 : $i]:
% 0.57/1.05 (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((X0) = (multiply @ sk_c5 @ (multiply @ sk_c7 @ X0))))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl130, plain,
% 0.57/1.05 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((sk_c6) = (multiply @ sk_c5 @ sk_c7)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl80])).
% 0.57/1.05 thf(zip_derived_cl136, plain,
% 0.57/1.05 ((((sk_c6) = (multiply @ sk_c5 @ sk_c7))
% 0.57/1.05 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 0.57/1.05 thf(zip_derived_cl41, plain,
% 0.57/1.05 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ sk_c5 @ sk_c7) = (identity)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.57/1.05 thf(zip_derived_cl140, plain,
% 0.57/1.05 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((sk_c6) = (identity)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl41])).
% 0.57/1.05 thf(zip_derived_cl144, plain,
% 0.57/1.05 ((((sk_c6) = (identity)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl140])).
% 0.57/1.05 thf(zip_derived_cl1, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.05 thf(zip_derived_cl2, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/1.05 inference('cnf', [status(esa)], [associativity])).
% 0.57/1.05 thf(zip_derived_cl50, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((multiply @ identity @ X0)
% 0.57/1.05 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.57/1.05 thf(zip_derived_cl0, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl155, plain,
% 0.57/1.05 ((((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c6)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl220, plain,
% 0.57/1.05 ((((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c7)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl287, plain,
% 0.57/1.05 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c6) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl220])).
% 0.57/1.05 thf(zip_derived_cl1, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.05 thf(zip_derived_cl294, plain,
% 0.57/1.05 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 0.57/1.05 | ((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c6) = (identity)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl1])).
% 0.57/1.05 thf(zip_derived_cl295, plain,
% 0.57/1.05 ((((sk_c6) = (identity)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl294])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl307, plain,
% 0.57/1.05 ((((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c7) = (multiply @ (inverse @ sk_c3) @ sk_c6)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl295, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl426, plain,
% 0.57/1.05 ((((inverse @ sk_c1) = (sk_c7))
% 0.57/1.05 | ((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl307])).
% 0.57/1.05 thf(zip_derived_cl155, plain,
% 0.57/1.05 ((((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c6)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl490, plain,
% 0.57/1.05 ((((sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 0.57/1.05 | ((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl155])).
% 0.57/1.05 thf(zip_derived_cl492, plain,
% 0.57/1.05 ((((sk_c6) = (identity)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl490])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl496, plain,
% 0.57/1.05 ((((sk_c6) = (identity))
% 0.57/1.05 | ((sk_c6) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl492, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl1, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.05 thf(zip_derived_cl499, plain,
% 0.57/1.05 ((((sk_c6) = (identity)) | ((sk_c6) = (identity)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl496, zip_derived_cl1])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl513, plain,
% 0.57/1.05 ((((inverse @ sk_c7) = (sk_c5))
% 0.57/1.05 | ((multiply @ sk_c7 @ sk_c5) = (identity)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl500])).
% 0.57/1.05 thf(prove_this_19, conjecture,
% 0.57/1.05 (~( ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.57/1.05 thf(zf_stmt_6, negated_conjecture,
% 0.57/1.05 (( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.57/1.05 thf(zip_derived_cl21, plain,
% 0.57/1.05 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/1.05 thf(prove_this_25, conjecture,
% 0.57/1.05 (~( ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.57/1.05 thf(zf_stmt_7, negated_conjecture,
% 0.57/1.05 (( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.57/1.05 thf(zip_derived_cl27, plain,
% 0.57/1.05 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.57/1.05 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl184, plain,
% 0.57/1.05 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.57/1.05 | ((sk_c6) = (multiply @ (inverse @ sk_c2) @ sk_c7)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl375, plain,
% 0.57/1.05 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.57/1.05 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.57/1.05 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl184])).
% 0.57/1.05 thf(zip_derived_cl381, plain,
% 0.57/1.05 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.57/1.05 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl375])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl0, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.57/1.05 thf(zip_derived_cl565, plain,
% 0.57/1.05 ((((identity) = (multiply @ sk_c7 @ sk_c7)) | ((sk_c5) = (sk_c7)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl381, zip_derived_cl500, zip_derived_cl500,
% 0.57/1.05 zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl613, plain,
% 0.57/1.05 ((((sk_c5) = (sk_c7))
% 0.57/1.05 | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ identity)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl565, zip_derived_cl52])).
% 0.57/1.05 thf(prove_this_13, conjecture,
% 0.57/1.05 (~( ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.57/1.05 thf(zf_stmt_8, negated_conjecture,
% 0.57/1.05 (( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.57/1.05 thf(zip_derived_cl15, plain,
% 0.57/1.05 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.57/1.05 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl0, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl510, plain,
% 0.57/1.05 ((((sk_c5) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c5) = (identity)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl15, zip_derived_cl500, zip_derived_cl0,
% 0.57/1.05 zip_derived_cl500])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl601, plain,
% 0.57/1.05 ((((sk_c5) = (sk_c7))
% 0.57/1.05 | ((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl510, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl942, plain,
% 0.57/1.05 ((((sk_c5) = (sk_c7)) | ((sk_c5) = (sk_c7)) | ((sk_c5) = (sk_c7)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl613, zip_derived_cl601])).
% 0.57/1.05 thf(zip_derived_cl953, plain, (((sk_c5) = (sk_c7))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.57/1.05 thf(zip_derived_cl953, plain, (((sk_c5) = (sk_c7))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.57/1.05 thf(zip_derived_cl971, plain,
% 0.57/1.05 ((((inverse @ sk_c7) = (sk_c7))
% 0.57/1.05 | ((multiply @ sk_c7 @ sk_c7) = (identity)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl513, zip_derived_cl953, zip_derived_cl953])).
% 0.57/1.05 thf(zip_derived_cl1, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.05 thf(zip_derived_cl1019, plain,
% 0.57/1.05 ((((multiply @ sk_c7 @ sk_c7) = (identity))
% 0.57/1.05 | ((multiply @ sk_c7 @ sk_c7) = (identity)))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl971, zip_derived_cl1])).
% 0.57/1.05 thf(zip_derived_cl1021, plain, (((multiply @ sk_c7 @ sk_c7) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl1019])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl1030, plain,
% 0.57/1.05 (((sk_c7) = (multiply @ (inverse @ sk_c7) @ identity))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl1021, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl1033, plain,
% 0.57/1.05 (((identity) = (multiply @ (inverse @ (inverse @ sk_c7)) @ sk_c7))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl1030, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl1080, plain,
% 0.57/1.05 (((sk_c7)
% 0.57/1.05 = (multiply @ (inverse @ (inverse @ (inverse @ sk_c7))) @ identity))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl1033, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl1, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl153, plain,
% 0.57/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl1601, plain, (((inverse @ sk_c7) = (sk_c7))),
% 0.57/1.05 inference('s_sup+', [status(thm)],
% 0.57/1.05 [zip_derived_cl1080, zip_derived_cl153])).
% 0.57/1.05 thf(zip_derived_cl1601, plain, (((inverse @ sk_c7) = (sk_c7))),
% 0.57/1.05 inference('s_sup+', [status(thm)],
% 0.57/1.05 [zip_derived_cl1080, zip_derived_cl153])).
% 0.57/1.05 thf(zip_derived_cl1601, plain, (((inverse @ sk_c7) = (sk_c7))),
% 0.57/1.05 inference('s_sup+', [status(thm)],
% 0.57/1.05 [zip_derived_cl1080, zip_derived_cl153])).
% 0.57/1.05 thf(prove_this_31, conjecture,
% 0.57/1.05 (~( ( ( inverse @ X2 ) != ( sk_c5 ) ) |
% 0.57/1.05 ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/1.05 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 0.57/1.05 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/1.05 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 0.57/1.05 thf(zf_stmt_9, negated_conjecture,
% 0.57/1.05 (( ( inverse @ X2 ) != ( sk_c5 ) ) |
% 0.57/1.05 ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/1.05 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 0.57/1.05 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.57/1.05 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.57/1.05 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.57/1.05 thf(zip_derived_cl33, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.05 (((inverse @ X0) != (sk_c5))
% 0.57/1.05 | ((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.57/1.05 | ((inverse @ sk_c7) != (sk_c5))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 0.57/1.05 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7))
% 0.57/1.05 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.57/1.05 | ((inverse @ X2) != (sk_c7))
% 0.57/1.05 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 0.57/1.05 | ((inverse @ X3) != (sk_c7))
% 0.57/1.05 | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl0, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl500, plain, (((sk_c6) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.57/1.05 thf(zip_derived_cl525, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.05 (((inverse @ X0) != (sk_c5))
% 0.57/1.05 | ((multiply @ X0 @ sk_c5) != (identity))
% 0.57/1.05 | ((inverse @ sk_c7) != (sk_c5))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((sk_c5) != (sk_c7))
% 0.57/1.05 | ((multiply @ X2 @ identity) != (sk_c7))
% 0.57/1.05 | ((inverse @ X2) != (sk_c7))
% 0.57/1.05 | ((multiply @ sk_c7 @ sk_c5) != (identity))
% 0.57/1.05 | ((inverse @ X3) != (sk_c7))
% 0.57/1.05 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl33, zip_derived_cl500, zip_derived_cl500,
% 0.57/1.05 zip_derived_cl500, zip_derived_cl0, zip_derived_cl500,
% 0.57/1.05 zip_derived_cl500, zip_derived_cl500])).
% 0.57/1.05 thf(zip_derived_cl953, plain, (((sk_c5) = (sk_c7))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.57/1.05 thf(zip_derived_cl953, plain, (((sk_c5) = (sk_c7))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.57/1.05 thf(zip_derived_cl1601, plain, (((inverse @ sk_c7) = (sk_c7))),
% 0.57/1.05 inference('s_sup+', [status(thm)],
% 0.57/1.05 [zip_derived_cl1080, zip_derived_cl153])).
% 0.57/1.05 thf(zip_derived_cl953, plain, (((sk_c5) = (sk_c7))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.57/1.05 thf(zip_derived_cl953, plain, (((sk_c5) = (sk_c7))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.57/1.05 thf(zip_derived_cl153, plain,
% 0.57/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl52, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/1.05 thf(zip_derived_cl150, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl52])).
% 0.57/1.05 thf(zip_derived_cl1600, plain,
% 0.57/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl150])).
% 0.57/1.05 thf(zip_derived_cl953, plain, (((sk_c5) = (sk_c7))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.57/1.05 thf(zip_derived_cl1021, plain, (((multiply @ sk_c7 @ sk_c7) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl1019])).
% 0.57/1.05 thf(zip_derived_cl2832, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.05 (((inverse @ X0) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.57/1.05 | ((sk_c7) != (sk_c7))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((sk_c7) != (sk_c7))
% 0.57/1.05 | ((X2) != (sk_c7))
% 0.57/1.05 | ((inverse @ X2) != (sk_c7))
% 0.57/1.05 | ((identity) != (identity))
% 0.57/1.05 | ((inverse @ X3) != (sk_c7))
% 0.57/1.05 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl525, zip_derived_cl953, zip_derived_cl953,
% 0.57/1.05 zip_derived_cl1601, zip_derived_cl953, zip_derived_cl953,
% 0.57/1.05 zip_derived_cl1600, zip_derived_cl953, zip_derived_cl1021])).
% 0.57/1.05 thf(zip_derived_cl2833, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.05 (((multiply @ X3 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X3) != (sk_c7))
% 0.57/1.05 | ((inverse @ X2) != (sk_c7))
% 0.57/1.05 | ((X2) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X0) != (sk_c7)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl2832])).
% 0.57/1.05 thf(zip_derived_cl2834, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.05 (((inverse @ X0) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ sk_c7) != (sk_c7))
% 0.57/1.05 | ((inverse @ X2) != (sk_c7))
% 0.57/1.05 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.57/1.05 inference('eq_res', [status(thm)], [zip_derived_cl2833])).
% 0.57/1.05 thf(zip_derived_cl1601, plain, (((inverse @ sk_c7) = (sk_c7))),
% 0.57/1.05 inference('s_sup+', [status(thm)],
% 0.57/1.05 [zip_derived_cl1080, zip_derived_cl153])).
% 0.57/1.05 thf(zip_derived_cl2835, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.05 (((inverse @ X0) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((sk_c7) != (sk_c7))
% 0.57/1.05 | ((inverse @ X2) != (sk_c7))
% 0.57/1.05 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl2834, zip_derived_cl1601])).
% 0.57/1.05 thf(zip_derived_cl2836, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.05 (((multiply @ X2 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X2) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X0) != (sk_c7)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl2835])).
% 0.57/1.05 thf(zip_derived_cl2845, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 (((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.57/1.05 | ((sk_c7) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X0) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7)))),
% 0.57/1.05 inference('s_sup-', [status(thm)],
% 0.57/1.05 [zip_derived_cl1601, zip_derived_cl2836])).
% 0.57/1.05 thf(zip_derived_cl1021, plain, (((multiply @ sk_c7 @ sk_c7) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl1019])).
% 0.57/1.05 thf(zip_derived_cl2874, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 (((identity) != (identity))
% 0.57/1.05 | ((sk_c7) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X0) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X1) != (sk_c7)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl2845, zip_derived_cl1021])).
% 0.57/1.05 thf(zip_derived_cl2875, plain,
% 0.57/1.05 (![X0 : $i, X1 : $i]:
% 0.57/1.05 (((inverse @ X1) != (sk_c7))
% 0.57/1.05 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X0) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl2874])).
% 0.57/1.05 thf(zip_derived_cl2910, plain,
% 0.57/1.05 (![X0 : $i]:
% 0.57/1.05 (((sk_c7) != (sk_c7))
% 0.57/1.05 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.57/1.05 | ((inverse @ X0) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.57/1.05 inference('s_sup-', [status(thm)],
% 0.57/1.05 [zip_derived_cl1601, zip_derived_cl2875])).
% 0.57/1.05 thf(zip_derived_cl1021, plain, (((multiply @ sk_c7 @ sk_c7) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl1019])).
% 0.57/1.05 thf(zip_derived_cl2939, plain,
% 0.57/1.05 (![X0 : $i]:
% 0.57/1.05 (((sk_c7) != (sk_c7))
% 0.57/1.05 | ((identity) != (identity))
% 0.57/1.05 | ((inverse @ X0) != (sk_c7))
% 0.57/1.05 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl2910, zip_derived_cl1021])).
% 0.57/1.05 thf(zip_derived_cl2940, plain,
% 0.57/1.05 (![X0 : $i]:
% 0.57/1.05 (((multiply @ X0 @ sk_c7) != (identity)) | ((inverse @ X0) != (sk_c7)))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl2939])).
% 0.57/1.05 thf(zip_derived_cl2975, plain,
% 0.57/1.05 ((((multiply @ sk_c7 @ sk_c7) != (identity)) | ((sk_c7) != (sk_c7)))),
% 0.57/1.05 inference('s_sup-', [status(thm)],
% 0.57/1.05 [zip_derived_cl1601, zip_derived_cl2940])).
% 0.57/1.05 thf(zip_derived_cl1021, plain, (((multiply @ sk_c7 @ sk_c7) = (identity))),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl1019])).
% 0.57/1.05 thf(zip_derived_cl3004, plain,
% 0.57/1.05 ((((identity) != (identity)) | ((sk_c7) != (sk_c7)))),
% 0.57/1.05 inference('demod', [status(thm)],
% 0.57/1.05 [zip_derived_cl2975, zip_derived_cl1021])).
% 0.57/1.05 thf(zip_derived_cl3005, plain, ($false),
% 0.57/1.05 inference('simplify', [status(thm)], [zip_derived_cl3004])).
% 0.57/1.05
% 0.57/1.05 % SZS output end Refutation
% 0.57/1.05
% 0.57/1.05
% 0.57/1.05 % Terminating...
% 1.98/1.08 % Runner terminated.
% 1.98/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------