%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP270-1 : 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.K6qOBkDAup true

% Computer : n005.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 01:50:59 EDT 2023

% Result   : Unsatisfiable 7.26s 1.71s
% Output   : Refutation 7.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP270-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K6qOBkDAup true
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 02:30:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.26/1.71  % Solved by fo/fo13.sh.
% 7.26/1.71  % done 2531 iterations in 0.940s
% 7.26/1.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.26/1.71  % SZS output start Refutation
% 7.26/1.71  thf(sk_c2_type, type, sk_c2: $i).
% 7.26/1.71  thf(sk_c6_type, type, sk_c6: $i).
% 7.26/1.71  thf(sk_c4_type, type, sk_c4: $i).
% 7.26/1.71  thf(sk_c3_type, type, sk_c3: $i).
% 7.26/1.71  thf(identity_type, type, identity: $i).
% 7.26/1.71  thf(multiply_type, type, multiply: $i > $i > $i).
% 7.26/1.71  thf(sk_c7_type, type, sk_c7: $i).
% 7.26/1.71  thf(inverse_type, type, inverse: $i > $i).
% 7.26/1.71  thf(sk_c5_type, type, sk_c5: $i).
% 7.26/1.71  thf(sk_c1_type, type, sk_c1: $i).
% 7.26/1.71  thf(prove_this_26, conjecture,
% 7.26/1.71    (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) | 
% 7.26/1.71        ( ( inverse @ X2 ) != ( sk_c6 ) ) | 
% 7.26/1.71        ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) | 
% 7.26/1.71        ( ( inverse @ X1 ) != ( sk_c7 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) | 
% 7.26/1.71        ( ( inverse @ X4 ) != ( sk_c7 ) ) | 
% 7.26/1.71        ( ( multiply @ X4 @ sk_c7 ) != ( sk_c5 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) | 
% 7.26/1.71        ( ( inverse @ X3 ) != ( sk_c7 ) ) | 
% 7.26/1.71        ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 7.26/1.71  thf(zf_stmt_0, negated_conjecture,
% 7.26/1.71    (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) | 
% 7.26/1.71     ( ( inverse @ X2 ) != ( sk_c6 ) ) | 
% 7.26/1.71     ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) | 
% 7.26/1.71     ( ( inverse @ X1 ) != ( sk_c7 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) | 
% 7.26/1.71     ( ( inverse @ X4 ) != ( sk_c7 ) ) | 
% 7.26/1.71     ( ( multiply @ X4 @ sk_c7 ) != ( sk_c5 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) | 
% 7.26/1.71     ( ( inverse @ X3 ) != ( sk_c7 ) ) | 
% 7.26/1.71     ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_26])).
% 7.26/1.71  thf(zip_derived_cl28, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.26/1.71         (((multiply @ X0 @ sk_c5) != (sk_c6))
% 7.26/1.71          | ((inverse @ X0) != (sk_c6))
% 7.26/1.71          | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 7.26/1.71          | ((inverse @ X1) != (sk_c7))
% 7.26/1.71          | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 7.26/1.71          | ((inverse @ X2) != (sk_c7))
% 7.26/1.71          | ((multiply @ X2 @ sk_c7) != (sk_c5))
% 7.26/1.71          | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 7.26/1.71          | ((inverse @ X3) != (sk_c7))
% 7.26/1.71          | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.26/1.71  thf(prove_this_21, conjecture,
% 7.26/1.71    (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) | 
% 7.26/1.71        ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 7.26/1.71  thf(zf_stmt_1, negated_conjecture,
% 7.26/1.71    (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) | 
% 7.26/1.71     ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_21])).
% 7.26/1.71  thf(zip_derived_cl23, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c7)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.26/1.71  thf(prove_this_16, conjecture,
% 7.26/1.71    (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 7.26/1.71  thf(zf_stmt_2, negated_conjecture,
% 7.26/1.71    (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_16])).
% 7.26/1.71  thf(zip_derived_cl18, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.26/1.71  thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(associativity, axiom,
% 7.26/1.71    (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 7.26/1.71     ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 7.26/1.71  thf(zip_derived_cl2, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.26/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.26/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.26/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.26/1.71  thf(zip_derived_cl39, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((multiply @ identity @ X0)
% 7.26/1.71           = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 7.26/1.71  thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 7.26/1.71  thf(zip_derived_cl0, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl161, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c2) @ sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl375, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c2)) @ sk_c7)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl2056, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl375])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl2061, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((sk_c5) = (identity)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl2056, zip_derived_cl1])).
% 7.26/1.71  thf(zip_derived_cl2062, plain,
% 7.26/1.71      ((((sk_c5) = (identity)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl2061])).
% 7.26/1.71  thf(prove_this_24, conjecture,
% 7.26/1.71    (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | 
% 7.26/1.71        ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 7.26/1.71  thf(zf_stmt_3, negated_conjecture,
% 7.26/1.71    (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_24])).
% 7.26/1.71  thf(zip_derived_cl26, plain,
% 7.26/1.71      ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl184, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((inverse @ sk_c4) = (sk_c6))
% 7.26/1.71          | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c2 @ X0))))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl212, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((inverse @ sk_c4) = (sk_c6))
% 7.26/1.71          | ((multiply @ sk_c2 @ X0) = (multiply @ (inverse @ sk_c7) @ X0)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl1076, plain,
% 7.26/1.71      ((((inverse @ sk_c4) = (sk_c6))
% 7.26/1.71        | ((multiply @ sk_c2 @ sk_c7) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl1])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl1085, plain,
% 7.26/1.71      ((((multiply @ sk_c2 @ sk_c7) = (identity))
% 7.26/1.71        | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1076, zip_derived_cl1])).
% 7.26/1.71  thf(prove_this_19, conjecture,
% 7.26/1.71    (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 7.26/1.71  thf(zf_stmt_4, negated_conjecture,
% 7.26/1.71    (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_19])).
% 7.26/1.71  thf(zip_derived_cl21, plain,
% 7.26/1.71      ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl48, plain,
% 7.26/1.71      ((((multiply @ sk_c2 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 7.26/1.71  thf(zip_derived_cl1099, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 7.26/1.71        | ((identity) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1085, zip_derived_cl48])).
% 7.26/1.71  thf(zip_derived_cl1101, plain,
% 7.26/1.71      ((((identity) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl1099])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl1103, plain,
% 7.26/1.71      ((((identity) = (sk_c5))
% 7.26/1.71        | ((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1101, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl2, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.26/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.26/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.26/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.26/1.71  thf(zip_derived_cl1141, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((multiply @ sk_c4 @ X0)
% 7.26/1.71              = (multiply @ (inverse @ sk_c6) @ (multiply @ identity @ X0))))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1103, zip_derived_cl2])).
% 7.26/1.71  thf(zip_derived_cl0, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.26/1.71  thf(zip_derived_cl1144, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((multiply @ sk_c4 @ X0) = (multiply @ (inverse @ sk_c6) @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl1141, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl1167, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((X0) = (multiply @ sk_c4 @ (multiply @ sk_c6 @ X0))))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1144, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl2150, plain,
% 7.26/1.71      ((((sk_c5) = (identity))
% 7.26/1.71        | ((identity) = (sk_c5))
% 7.26/1.71        | ((sk_c7) = (multiply @ sk_c4 @ sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)],
% 7.26/1.71                [zip_derived_cl2062, zip_derived_cl1167])).
% 7.26/1.71  thf(zip_derived_cl2152, plain,
% 7.26/1.71      ((((sk_c7) = (multiply @ sk_c4 @ sk_c5)) | ((sk_c5) = (identity)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl2150])).
% 7.26/1.71  thf(prove_this_25, conjecture,
% 7.26/1.71    (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.26/1.71        ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 7.26/1.71  thf(zf_stmt_5, negated_conjecture,
% 7.26/1.71    (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.26/1.71     ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_25])).
% 7.26/1.71  thf(zip_derived_cl27, plain,
% 7.26/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_5])).
% 7.26/1.71  thf(prove_this_20, conjecture,
% 7.26/1.71    (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 7.26/1.71  thf(zf_stmt_6, negated_conjecture,
% 7.26/1.71    (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_20])).
% 7.26/1.71  thf(zip_derived_cl22, plain,
% 7.26/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl163, plain,
% 7.26/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c2) @ sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl430, plain,
% 7.26/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c2)) @ sk_c7)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl2086, plain,
% 7.26/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl430])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl2091, plain,
% 7.26/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c5) = (identity)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl2086, zip_derived_cl1])).
% 7.26/1.71  thf(zip_derived_cl2092, plain,
% 7.26/1.71      ((((sk_c5) = (identity)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl2091])).
% 7.26/1.71  thf(zip_derived_cl2238, plain,
% 7.26/1.71      ((((sk_c5) = (identity)) | ((sk_c5) = (identity)) | ((sk_c7) = (sk_c6)))),
% 7.26/1.71      inference('s_sup+', [status(thm)],
% 7.26/1.71                [zip_derived_cl2152, zip_derived_cl2092])).
% 7.26/1.71  thf(zip_derived_cl2244, plain,
% 7.26/1.71      ((((sk_c7) = (sk_c6)) | ((sk_c5) = (identity)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl2238])).
% 7.26/1.71  thf(prove_this_14, conjecture,
% 7.26/1.71    (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 7.26/1.71  thf(zf_stmt_7, negated_conjecture,
% 7.26/1.71    (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_14])).
% 7.26/1.71  thf(zip_derived_cl16, plain,
% 7.26/1.71      ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.26/1.71  thf(prove_this_15, conjecture,
% 7.26/1.71    (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 7.26/1.71  thf(zf_stmt_8, negated_conjecture,
% 7.26/1.71    (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_15])).
% 7.26/1.71  thf(zip_derived_cl17, plain,
% 7.26/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_8])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl158, plain,
% 7.26/1.71      ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl367, plain,
% 7.26/1.71      ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl158])).
% 7.26/1.71  thf(zip_derived_cl370, plain,
% 7.26/1.71      ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl367])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl372, plain,
% 7.26/1.71      ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl370, zip_derived_cl41])).
% 7.26/1.71  thf(prove_this_11, conjecture,
% 7.26/1.71    (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 7.26/1.71  thf(zf_stmt_9, negated_conjecture,
% 7.26/1.71    (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_11])).
% 7.26/1.71  thf(zip_derived_cl13, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_9])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl145, plain,
% 7.26/1.71      ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl445, plain,
% 7.26/1.71      ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.26/1.71        | ((sk_c7) = (sk_c6)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl145])).
% 7.26/1.71  thf(zip_derived_cl446, plain,
% 7.26/1.71      ((((sk_c7) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl445])).
% 7.26/1.71  thf(zip_derived_cl2304, plain,
% 7.26/1.71      ((((sk_c7) = (sk_c6))
% 7.26/1.71        | ((sk_c7) = (sk_c6))
% 7.26/1.71        | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 7.26/1.71      inference('s_sup+', [status(thm)],
% 7.26/1.71                [zip_derived_cl2244, zip_derived_cl446])).
% 7.26/1.71  thf(zip_derived_cl2321, plain,
% 7.26/1.71      ((((multiply @ sk_c7 @ identity) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl2304])).
% 7.26/1.71  thf(zip_derived_cl2, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.26/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.26/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.26/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.26/1.71  thf(zip_derived_cl2565, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((sk_c7) = (sk_c6))
% 7.26/1.71          | ((multiply @ sk_c6 @ X0)
% 7.26/1.71              = (multiply @ sk_c7 @ (multiply @ identity @ X0))))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl2321, zip_derived_cl2])).
% 7.26/1.71  thf(zip_derived_cl0, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.26/1.71  thf(zip_derived_cl2582, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((sk_c7) = (sk_c6))
% 7.26/1.71          | ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl2565, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl2584, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 7.26/1.71      inference('condensation', [status(thm)], [zip_derived_cl2582])).
% 7.26/1.71  thf(zip_derived_cl2588, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.26/1.71         (((multiply @ X0 @ sk_c5) != (sk_c6))
% 7.26/1.71          | ((inverse @ X0) != (sk_c6))
% 7.26/1.71          | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 7.26/1.71          | ((inverse @ X1) != (sk_c7))
% 7.26/1.71          | ((multiply @ sk_c7 @ sk_c7) != (sk_c5))
% 7.26/1.71          | ((inverse @ X2) != (sk_c7))
% 7.26/1.71          | ((multiply @ X2 @ sk_c7) != (sk_c5))
% 7.26/1.71          | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 7.26/1.71          | ((inverse @ X3) != (sk_c7))
% 7.26/1.71          | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl2584])).
% 7.26/1.71  thf(zip_derived_cl2584, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 7.26/1.71      inference('condensation', [status(thm)], [zip_derived_cl2582])).
% 7.26/1.71  thf(zip_derived_cl1144, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((multiply @ sk_c4 @ X0) = (multiply @ (inverse @ sk_c6) @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl1141, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl1166, plain,
% 7.26/1.71      ((((identity) = (sk_c5)) | ((multiply @ sk_c4 @ sk_c6) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1144, zip_derived_cl1])).
% 7.26/1.71  thf(zip_derived_cl1101, plain,
% 7.26/1.71      ((((identity) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl1099])).
% 7.26/1.71  thf(zip_derived_cl2, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.26/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.26/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.26/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.26/1.71  thf(zip_derived_cl1102, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((multiply @ identity @ X0)
% 7.26/1.71              = (multiply @ sk_c6 @ (multiply @ sk_c4 @ X0))))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1101, zip_derived_cl2])).
% 7.26/1.71  thf(zip_derived_cl0, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.26/1.71  thf(zip_derived_cl1107, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c4 @ X0))))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl1102, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl1181, plain,
% 7.26/1.71      ((((identity) = (sk_c5))
% 7.26/1.71        | ((identity) = (sk_c5))
% 7.26/1.71        | ((sk_c6) = (multiply @ sk_c6 @ identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)],
% 7.26/1.71                [zip_derived_cl1166, zip_derived_cl1107])).
% 7.26/1.71  thf(zip_derived_cl1183, plain,
% 7.26/1.71      ((((sk_c6) = (multiply @ sk_c6 @ identity)) | ((identity) = (sk_c5)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl1181])).
% 7.26/1.71  thf(zip_derived_cl2623, plain,
% 7.26/1.71      ((((sk_c6) = (multiply @ sk_c7 @ identity)) | ((identity) = (sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)],
% 7.26/1.71                [zip_derived_cl2584, zip_derived_cl1183])).
% 7.26/1.71  thf(prove_this_22, conjecture,
% 7.26/1.71    (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | 
% 7.26/1.71        ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 7.26/1.71  thf(zf_stmt_10, negated_conjecture,
% 7.26/1.71    (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_22])).
% 7.26/1.71  thf(zip_derived_cl24, plain,
% 7.26/1.71      ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_10])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl182, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((inverse @ sk_c3) = (sk_c7))
% 7.26/1.71          | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c2 @ X0))))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl204, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((inverse @ sk_c3) = (sk_c7))
% 7.26/1.71          | ((multiply @ sk_c2 @ X0) = (multiply @ (inverse @ sk_c7) @ X0)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl576, plain,
% 7.26/1.71      ((((inverse @ sk_c3) = (sk_c7))
% 7.26/1.71        | ((multiply @ sk_c2 @ sk_c7) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl1])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl583, plain,
% 7.26/1.71      ((((multiply @ sk_c2 @ sk_c7) = (identity))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl576, zip_derived_cl1])).
% 7.26/1.71  thf(prove_this_17, conjecture,
% 7.26/1.71    (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 7.26/1.71  thf(zf_stmt_11, negated_conjecture,
% 7.26/1.71    (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_17])).
% 7.26/1.71  thf(zip_derived_cl19, plain,
% 7.26/1.71      ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_11])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl47, plain,
% 7.26/1.71      ((((multiply @ sk_c2 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 7.26/1.71  thf(zip_derived_cl621, plain,
% 7.26/1.71      ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 7.26/1.71        | ((identity) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl583, zip_derived_cl47])).
% 7.26/1.71  thf(zip_derived_cl624, plain,
% 7.26/1.71      ((((identity) = (sk_c5)) | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl621])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl626, plain,
% 7.26/1.71      ((((identity) = (sk_c5))
% 7.26/1.71        | ((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl624, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl2, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.26/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.26/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.26/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.26/1.71  thf(zip_derived_cl630, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((multiply @ sk_c3 @ X0)
% 7.26/1.71              = (multiply @ (inverse @ sk_c7) @ (multiply @ identity @ X0))))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl626, zip_derived_cl2])).
% 7.26/1.71  thf(zip_derived_cl0, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.26/1.71  thf(zip_derived_cl634, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((multiply @ sk_c3 @ X0) = (multiply @ (inverse @ sk_c7) @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl630, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl707, plain,
% 7.26/1.71      (![X0 : $i]:
% 7.26/1.71         (((identity) = (sk_c5))
% 7.26/1.71          | ((X0) = (multiply @ sk_c3 @ (multiply @ sk_c7 @ X0))))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl634, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl2706, plain,
% 7.26/1.71      ((((identity) = (sk_c5))
% 7.26/1.71        | ((identity) = (sk_c5))
% 7.26/1.71        | ((identity) = (multiply @ sk_c3 @ sk_c6)))),
% 7.26/1.71      inference('s_sup+', [status(thm)],
% 7.26/1.71                [zip_derived_cl2623, zip_derived_cl707])).
% 7.26/1.71  thf(zip_derived_cl2714, plain,
% 7.26/1.71      ((((identity) = (multiply @ sk_c3 @ sk_c6)) | ((identity) = (sk_c5)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl2706])).
% 7.26/1.71  thf(prove_this_23, conjecture,
% 7.26/1.71    (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.26/1.71        ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 7.26/1.71  thf(zf_stmt_12, negated_conjecture,
% 7.26/1.71    (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.26/1.71     ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_23])).
% 7.26/1.71  thf(zip_derived_cl25, plain,
% 7.26/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_12])).
% 7.26/1.71  thf(prove_this_18, conjecture,
% 7.26/1.71    (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.26/1.71        ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 7.26/1.71  thf(zf_stmt_13, negated_conjecture,
% 7.26/1.71    (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.26/1.71     ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 7.26/1.71    inference('cnf.neg', [status(esa)], [prove_this_18])).
% 7.26/1.71  thf(zip_derived_cl20, plain,
% 7.26/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.26/1.71        | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_13])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl162, plain,
% 7.26/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.26/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c2) @ sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl41, plain,
% 7.26/1.71      (![X0 : $i, X1 : $i]:
% 7.26/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.26/1.71  thf(zip_derived_cl417, plain,
% 7.26/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.26/1.71        | ((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c2)) @ sk_c7)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl2071, plain,
% 7.26/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.26/1.71        | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.26/1.71        | ((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl417])).
% 7.26/1.71  thf(zip_derived_cl1, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.26/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.26/1.71  thf(zip_derived_cl2076, plain,
% 7.26/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.26/1.71        | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.26/1.71        | ((sk_c5) = (identity)))),
% 7.26/1.71      inference('demod', [status(thm)], [zip_derived_cl2071, zip_derived_cl1])).
% 7.26/1.71  thf(zip_derived_cl2077, plain,
% 7.26/1.71      ((((sk_c5) = (identity)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl2076])).
% 7.26/1.71  thf(zip_derived_cl3269, plain,
% 7.26/1.71      ((((identity) = (sk_c5))
% 7.26/1.71        | ((sk_c5) = (identity))
% 7.26/1.71        | ((identity) = (sk_c7)))),
% 7.26/1.71      inference('s_sup+', [status(thm)],
% 7.26/1.71                [zip_derived_cl2714, zip_derived_cl2077])).
% 7.26/1.71  thf(zip_derived_cl3274, plain,
% 7.26/1.71      ((((identity) = (sk_c7)) | ((identity) = (sk_c5)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl3269])).
% 7.26/1.71  thf(zip_derived_cl2584, plain,
% 7.26/1.71      (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 7.26/1.71      inference('condensation', [status(thm)], [zip_derived_cl2582])).
% 7.26/1.71  thf(zip_derived_cl23, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c7)))),
% 7.26/1.71      inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.26/1.71  thf(zip_derived_cl161, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c2) @ sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl41])).
% 7.26/1.71  thf(zip_derived_cl376, plain,
% 7.26/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.26/1.71        | ((sk_c7) = (multiply @ sk_c7 @ sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl161])).
% 7.26/1.71  thf(zip_derived_cl381, plain,
% 7.26/1.71      ((((sk_c7) = (multiply @ sk_c7 @ sk_c5))
% 7.26/1.71        | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 7.26/1.71      inference('simplify', [status(thm)], [zip_derived_cl376])).
% 7.26/1.71  thf(zip_derived_cl2631, plain,
% 7.26/1.71      ((((sk_c7) = (multiply @ sk_c7 @ sk_c5))
% 7.26/1.71        | ((multiply @ sk_c7 @ sk_c7) = (sk_c5)))),
% 7.26/1.71      inference('s_sup+', [status(thm)],
% 7.26/1.71                [zip_derived_cl2584, zip_derived_cl381])).
% 7.97/1.71  thf(zip_derived_cl446, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl445])).
% 7.97/1.71  thf(zip_derived_cl2846, plain,
% 7.97/1.71      ((((multiply @ sk_c7 @ sk_c7) = (sk_c5))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl2631, zip_derived_cl446])).
% 7.97/1.71  thf(zip_derived_cl2857, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c7) = (sk_c5)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2846])).
% 7.97/1.71  thf(zip_derived_cl446, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl445])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl466, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl446, zip_derived_cl41])).
% 7.97/1.71  thf(prove_this_7, conjecture,
% 7.97/1.71    (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | 
% 7.97/1.71        ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 7.97/1.71  thf(zf_stmt_14, negated_conjecture,
% 7.97/1.71    (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_7])).
% 7.97/1.71  thf(zip_derived_cl9, plain,
% 7.97/1.71      ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl172, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((inverse @ sk_c1) = (sk_c7))
% 7.97/1.71          | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl190, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((inverse @ sk_c1) = (sk_c7))
% 7.97/1.71          | ((multiply @ sk_c3 @ X0) = (multiply @ (inverse @ sk_c7) @ X0)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl471, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((inverse @ sk_c1) = (sk_c7))
% 7.97/1.71        | ((multiply @ sk_c3 @ sk_c6) = (sk_c5)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl190])).
% 7.97/1.71  thf(prove_this_5, conjecture,
% 7.97/1.71    (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.97/1.71        ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 7.97/1.71  thf(zf_stmt_15, negated_conjecture,
% 7.97/1.71    (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.97/1.71     ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_5])).
% 7.97/1.71  thf(zip_derived_cl7, plain,
% 7.97/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_15])).
% 7.97/1.71  thf(prove_this_4, conjecture,
% 7.97/1.71    (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | 
% 7.97/1.71        ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 7.97/1.71  thf(zf_stmt_16, negated_conjecture,
% 7.97/1.71    (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | 
% 7.97/1.71     ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_4])).
% 7.97/1.71  thf(zip_derived_cl6, plain,
% 7.97/1.71      ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_16])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl34, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl68, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((multiply @ identity @ X0)
% 7.97/1.71              = (multiply @ sk_c6 @ (multiply @ sk_c4 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl69, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c4 @ X0))))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl109, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl69])).
% 7.97/1.71  thf(zip_derived_cl113, plain,
% 7.97/1.71      ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl109])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl148, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl41])).
% 7.97/1.71  thf(prove_this_1, conjecture,
% 7.97/1.71    (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) | 
% 7.97/1.71        ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 7.97/1.71  thf(zf_stmt_17, negated_conjecture,
% 7.97/1.71    (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) | 
% 7.97/1.71     ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_1])).
% 7.97/1.71  thf(zip_derived_cl3, plain,
% 7.97/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_17])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl144, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl228, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl144])).
% 7.97/1.71  thf(zip_derived_cl230, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl228])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl232, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl251, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl477, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c5))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl251])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl479, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c5))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (identity)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl480, plain,
% 7.97/1.71      ((((sk_c6) = (identity))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c3 @ sk_c6) = (sk_c5)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl479])).
% 7.97/1.71  thf(prove_this_8, conjecture,
% 7.97/1.71    (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.97/1.71        ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 7.97/1.71  thf(zf_stmt_18, negated_conjecture,
% 7.97/1.71    (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.97/1.71     ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_8])).
% 7.97/1.71  thf(zip_derived_cl10, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_18])).
% 7.97/1.71  thf(zip_derived_cl251, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl260, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl251])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl265, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (identity)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl490, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (identity))
% 7.97/1.71        | ((sk_c5) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl265])).
% 7.97/1.71  thf(zip_derived_cl493, plain,
% 7.97/1.71      ((((sk_c5) = (sk_c7)) | ((sk_c6) = (identity)) | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl490])).
% 7.97/1.71  thf(prove_this_13, conjecture,
% 7.97/1.71    (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.97/1.71        ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 7.97/1.71  thf(zf_stmt_19, negated_conjecture,
% 7.97/1.71    (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.97/1.71     ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_13])).
% 7.97/1.71  thf(zip_derived_cl15, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_19])).
% 7.97/1.71  thf(prove_this_12, conjecture,
% 7.97/1.71    (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | 
% 7.97/1.71        ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 7.97/1.71  thf(zf_stmt_20, negated_conjecture,
% 7.97/1.71    (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | 
% 7.97/1.71     ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_12])).
% 7.97/1.71  thf(zip_derived_cl14, plain,
% 7.97/1.71      ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_20])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl45, plain,
% 7.97/1.71      ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl85, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.97/1.71          | ((multiply @ identity @ X0)
% 7.97/1.71              = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl86, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.97/1.71          | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl118, plain,
% 7.97/1.71      ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl86])).
% 7.97/1.71  thf(zip_derived_cl121, plain,
% 7.97/1.71      ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl118])).
% 7.97/1.71  thf(zip_derived_cl499, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (identity))
% 7.97/1.71        | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl493, zip_derived_cl121])).
% 7.97/1.71  thf(zip_derived_cl510, plain,
% 7.97/1.71      ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 7.97/1.71        | ((sk_c6) = (identity))
% 7.97/1.71        | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl499])).
% 7.97/1.71  thf(zip_derived_cl2873, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (sk_c5))
% 7.97/1.71        | ((sk_c6) = (identity))
% 7.97/1.71        | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl2857, zip_derived_cl510])).
% 7.97/1.71  thf(zip_derived_cl2881, plain,
% 7.97/1.71      ((((sk_c6) = (identity)) | ((sk_c6) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2873])).
% 7.97/1.71  thf(zip_derived_cl493, plain,
% 7.97/1.71      ((((sk_c5) = (sk_c7)) | ((sk_c6) = (identity)) | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl490])).
% 7.97/1.71  thf(zip_derived_cl2913, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (identity))
% 7.97/1.71        | ((sk_c6) = (sk_c7))
% 7.97/1.71        | ((sk_c6) = (identity))
% 7.97/1.71        | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl2881, zip_derived_cl493])).
% 7.97/1.71  thf(zip_derived_cl2938, plain,
% 7.97/1.71      ((((sk_c6) = (identity)) | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2913])).
% 7.97/1.71  thf(zip_derived_cl2584, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 7.97/1.71      inference('condensation', [status(thm)], [zip_derived_cl2582])).
% 7.97/1.71  thf(zip_derived_cl2062, plain,
% 7.97/1.71      ((((sk_c5) = (identity)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2061])).
% 7.97/1.71  thf(zip_derived_cl2632, plain,
% 7.97/1.71      ((((sk_c5) = (identity)) | ((multiply @ sk_c7 @ sk_c7) = (sk_c5)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl2584, zip_derived_cl2062])).
% 7.97/1.71  thf(zip_derived_cl2077, plain,
% 7.97/1.71      ((((sk_c5) = (identity)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2076])).
% 7.97/1.71  thf(zip_derived_cl624, plain,
% 7.97/1.71      ((((identity) = (sk_c5)) | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl621])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl625, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((identity) = (sk_c5))
% 7.97/1.71          | ((multiply @ identity @ X0)
% 7.97/1.71              = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl624, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl629, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((identity) = (sk_c5))
% 7.97/1.71          | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl625, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl2160, plain,
% 7.97/1.71      ((((sk_c5) = (identity))
% 7.97/1.71        | ((identity) = (sk_c5))
% 7.97/1.71        | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl2077, zip_derived_cl629])).
% 7.97/1.71  thf(zip_derived_cl2164, plain,
% 7.97/1.71      ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((sk_c5) = (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2160])).
% 7.97/1.71  thf(zip_derived_cl2733, plain,
% 7.97/1.71      ((((sk_c5) = (identity)) | ((sk_c6) = (sk_c5)) | ((sk_c5) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl2632, zip_derived_cl2164])).
% 7.97/1.71  thf(zip_derived_cl2739, plain,
% 7.97/1.71      ((((sk_c6) = (sk_c5)) | ((sk_c5) = (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2733])).
% 7.97/1.71  thf(zip_derived_cl2775, plain,
% 7.97/1.71      ((((sk_c6) != (identity)) | ((sk_c5) = (identity)))),
% 7.97/1.71      inference('eq_fact', [status(thm)], [zip_derived_cl2739])).
% 7.97/1.71  thf(zip_derived_cl3022, plain,
% 7.97/1.71      ((((sk_c6) = (identity))
% 7.97/1.71        | ((sk_c7) != (identity))
% 7.97/1.71        | ((sk_c5) = (identity)))),
% 7.97/1.71      inference('s_sup-', [status(thm)],
% 7.97/1.71                [zip_derived_cl2938, zip_derived_cl2775])).
% 7.97/1.71  thf(zip_derived_cl2775, plain,
% 7.97/1.71      ((((sk_c6) != (identity)) | ((sk_c5) = (identity)))),
% 7.97/1.71      inference('eq_fact', [status(thm)], [zip_derived_cl2739])).
% 7.97/1.71  thf(zip_derived_cl3063, plain,
% 7.97/1.71      ((((sk_c5) = (identity)) | ((sk_c7) != (identity)))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl3022, zip_derived_cl2775])).
% 7.97/1.71  thf(zip_derived_cl3275, plain, (((identity) = (sk_c5))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl3274, zip_derived_cl3063])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl133, plain,
% 7.97/1.71      (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl130, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl2938, plain,
% 7.97/1.71      ((((sk_c6) = (identity)) | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2913])).
% 7.97/1.71  thf(zip_derived_cl3023, plain,
% 7.97/1.71      ((((sk_c7) != (identity)) | ((sk_c6) = (identity)))),
% 7.97/1.71      inference('eq_fact', [status(thm)], [zip_derived_cl2938])).
% 7.97/1.71  thf(zip_derived_cl9, plain,
% 7.97/1.71      ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl29, plain,
% 7.97/1.71      ((((inverse @ sk_c1) = (sk_c7))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl54, plain,
% 7.97/1.71      ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c1) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl89, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c1) = (identity))
% 7.97/1.71          | ((multiply @ identity @ X0)
% 7.97/1.71              = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl90, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c1) = (identity))
% 7.97/1.71          | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl10, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_18])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl43, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c1) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl70, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c1) = (identity))
% 7.97/1.71          | ((multiply @ sk_c7 @ X0)
% 7.97/1.71              = (multiply @ sk_c3 @ (multiply @ sk_c6 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl951, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c1) = (identity))
% 7.97/1.71          | ((multiply @ (multiply @ sk_c7 @ X0) @ X1)
% 7.97/1.71              = (multiply @ sk_c3 @ (multiply @ (multiply @ sk_c6 @ X0) @ X1))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl979, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c1) = (identity))
% 7.97/1.71          | ((multiply @ sk_c7 @ (multiply @ X0 @ X1))
% 7.97/1.71              = (multiply @ sk_c3 @ (multiply @ sk_c6 @ (multiply @ X0 @ X1)))))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl951, zip_derived_cl2, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl2321, plain,
% 7.97/1.71      ((((multiply @ sk_c7 @ identity) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl2304])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl2566, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((identity) = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl2321, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl4010, plain,
% 7.97/1.71      ((((sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c7)) @ identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl2566, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl133, plain,
% 7.97/1.71      (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl4020, plain, ((((sk_c7) = (sk_c6)) | ((sk_c6) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl4010, zip_derived_cl133])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl9019, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c1) = (identity))
% 7.97/1.71          | ((multiply @ sk_c7 @ (multiply @ X0 @ X1))
% 7.97/1.71              = (multiply @ sk_c3 @ (multiply @ sk_c7 @ (multiply @ X0 @ X1)))))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl979, zip_derived_cl4021])).
% 7.97/1.71  thf(zip_derived_cl9039, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c7 @ sk_c1) = (identity))
% 7.97/1.71          | ((multiply @ sk_c7 @ sk_c1) = (identity))
% 7.97/1.71          | ((X0) = (multiply @ sk_c3 @ X0)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl9019])).
% 7.97/1.71  thf(zip_derived_cl9160, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((X0) = (multiply @ sk_c3 @ X0))
% 7.97/1.71          | ((multiply @ sk_c7 @ sk_c1) = (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl9039])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl9213, plain,
% 7.97/1.71      ((((multiply @ sk_c7 @ sk_c1) = (identity)) | ((identity) = (sk_c3)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl9160, zip_derived_cl3645])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl9238, plain,
% 7.97/1.71      ((((identity) = (sk_c3))
% 7.97/1.71        | ((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl9213, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl10677, plain,
% 7.97/1.71      ((((identity) = (sk_c3)) | ((sk_c1) = (inverse @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl9238, zip_derived_cl3645])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl10740, plain,
% 7.97/1.71      ((((identity) = (sk_c3)) | ((multiply @ sk_c1 @ sk_c7) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl10677, zip_derived_cl1])).
% 7.97/1.71  thf(prove_this_3, conjecture,
% 7.97/1.71    (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.97/1.71        ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 7.97/1.71  thf(zf_stmt_21, negated_conjecture,
% 7.97/1.71    (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) | 
% 7.97/1.71     ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_3])).
% 7.97/1.71  thf(zip_derived_cl5, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_21])).
% 7.97/1.71  thf(prove_this_2, conjecture,
% 7.97/1.71    (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | 
% 7.97/1.71        ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 7.97/1.71  thf(zf_stmt_22, negated_conjecture,
% 7.97/1.71    (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | 
% 7.97/1.71     ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_2])).
% 7.97/1.71  thf(zip_derived_cl4, plain,
% 7.97/1.71      ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_22])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl33, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl66, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((multiply @ identity @ X0)
% 7.97/1.71              = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl67, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl98, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 7.97/1.71  thf(zip_derived_cl102, plain,
% 7.97/1.71      ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl98])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl137, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl4042, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c7)) | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl137, zip_derived_cl4021, zip_derived_cl4021, 
% 7.97/1.71                 zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl11375, plain,
% 7.97/1.71      ((((identity) = (sk_c3))
% 7.97/1.71        | ((identity) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl10740, zip_derived_cl4042])).
% 7.97/1.71  thf(zip_derived_cl11393, plain,
% 7.97/1.71      ((((identity) = (sk_c7)) | ((identity) = (sk_c3)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11375])).
% 7.97/1.71  thf(prove_this_9, conjecture,
% 7.97/1.71    (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | 
% 7.97/1.71        ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 7.97/1.71  thf(zf_stmt_23, negated_conjecture,
% 7.97/1.71    (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_9])).
% 7.97/1.71  thf(zip_derived_cl11, plain,
% 7.97/1.71      ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_23])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl4026, plain,
% 7.97/1.71      ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl4021])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl133, plain,
% 7.97/1.71      (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl4742, plain,
% 7.97/1.71      (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl3645, zip_derived_cl133])).
% 7.97/1.71  thf(zip_derived_cl5337, plain,
% 7.97/1.71      ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c4) = (inverse @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl4026, zip_derived_cl4742])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl190, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((inverse @ sk_c1) = (sk_c7))
% 7.97/1.71          | ((multiply @ sk_c3 @ X0) = (multiply @ (inverse @ sk_c7) @ X0)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl4740, plain,
% 7.97/1.71      ((((inverse @ sk_c1) = (sk_c7))
% 7.97/1.71        | ((multiply @ sk_c3 @ identity) = (inverse @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl3645, zip_derived_cl190])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl4762, plain,
% 7.97/1.71      ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c3) = (inverse @ sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl4740, zip_derived_cl3645])).
% 7.97/1.71  thf(zip_derived_cl5418, plain,
% 7.97/1.71      ((((inverse @ sk_c1) = (sk_c7))
% 7.97/1.71        | ((inverse @ sk_c1) = (sk_c7))
% 7.97/1.71        | ((sk_c3) = (sk_c4)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl5337, zip_derived_cl4762])).
% 7.97/1.71  thf(zip_derived_cl5427, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl5418])).
% 7.97/1.71  thf(zip_derived_cl34, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl5, plain,
% 7.97/1.71      ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_21])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl53, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((multiply @ sk_c7 @ X0)
% 7.97/1.71              = (multiply @ sk_c3 @ (multiply @ sk_c6 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl316, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c4) = (multiply @ sk_c3 @ identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl53])).
% 7.97/1.71  thf(zip_derived_cl324, plain,
% 7.97/1.71      ((((multiply @ sk_c7 @ sk_c4) = (multiply @ sk_c3 @ identity))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl316])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl5058, plain,
% 7.97/1.71      ((((multiply @ sk_c7 @ sk_c4) = (sk_c3))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl324, zip_derived_cl3645, zip_derived_cl4021])).
% 7.97/1.71  thf(zip_derived_cl102, plain,
% 7.97/1.71      ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl98])).
% 7.97/1.71  thf(zip_derived_cl3, plain,
% 7.97/1.71      ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_17])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl52, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((multiply @ sk_c5 @ X0)
% 7.97/1.71              = (multiply @ sk_c6 @ (multiply @ sk_c7 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl240, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c5 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl52])).
% 7.97/1.71  thf(zip_derived_cl247, plain,
% 7.97/1.71      ((((multiply @ sk_c5 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl240])).
% 7.97/1.71  thf(zip_derived_cl2584, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 7.97/1.71      inference('condensation', [status(thm)], [zip_derived_cl2582])).
% 7.97/1.71  thf(zip_derived_cl2604, plain,
% 7.97/1.71      ((((multiply @ sk_c5 @ sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl2584])).
% 7.97/1.71  thf(zip_derived_cl3275, plain, (((identity) = (sk_c5))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl3274, zip_derived_cl3063])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl3682, plain,
% 7.97/1.71      ((((sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl2604, zip_derived_cl3275, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl2, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.97/1.71           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.97/1.71      inference('cnf', [status(esa)], [associativity])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl131, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         ((X0)
% 7.97/1.71           = (multiply @ (inverse @ (multiply @ X2 @ X1)) @ 
% 7.97/1.71              (multiply @ X2 @ (multiply @ X1 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl3684, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((X0)
% 7.97/1.71              = (multiply @ (inverse @ sk_c7) @ 
% 7.97/1.71                 (multiply @ sk_c7 @ (multiply @ sk_c6 @ X0)))))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl3682, zip_derived_cl131])).
% 7.97/1.71  thf(zip_derived_cl2584, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 7.97/1.71      inference('condensation', [status(thm)], [zip_derived_cl2582])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl3692, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((X0) = (multiply @ sk_c7 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl3684, zip_derived_cl2584, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl4070, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c7))
% 7.97/1.71          | ((X0) = (multiply @ sk_c7 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl3692, zip_derived_cl4021])).
% 7.97/1.71  thf(zip_derived_cl5068, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c7))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c7))
% 7.97/1.71        | ((sk_c4) = (sk_c3)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl5058, zip_derived_cl4070])).
% 7.97/1.71  thf(zip_derived_cl5072, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c3)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c7)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl5068])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl5079, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c3))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl5072, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl5435, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c4))
% 7.97/1.71        | ((sk_c4) = (sk_c3))
% 7.97/1.71        | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl5427, zip_derived_cl5079])).
% 7.97/1.71  thf(zip_derived_cl5437, plain,
% 7.97/1.71      ((((sk_c7) = (multiply @ sk_c7 @ sk_c7)) | ((sk_c3) = (sk_c4)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl5435])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl5571, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c4))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl5437, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl5579, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c4)) | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl5571, zip_derived_cl1])).
% 7.97/1.71  thf(prove_this_10, conjecture,
% 7.97/1.71    (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.97/1.71        ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 7.97/1.71  thf(zf_stmt_24, negated_conjecture,
% 7.97/1.71    (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) | 
% 7.97/1.71     ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 7.97/1.71    inference('cnf.neg', [status(esa)], [prove_this_10])).
% 7.97/1.71  thf(zip_derived_cl12, plain,
% 7.97/1.71      ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('cnf', [status(esa)], [zf_stmt_24])).
% 7.97/1.71  thf(zip_derived_cl3275, plain, (((identity) = (sk_c5))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl3274, zip_derived_cl3063])).
% 7.97/1.71  thf(zip_derived_cl3278, plain,
% 7.97/1.71      ((((multiply @ sk_c4 @ identity) = (sk_c6))
% 7.97/1.71        | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl3275])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl4060, plain,
% 7.97/1.71      ((((multiply @ sk_c4 @ identity) = (sk_c7))
% 7.97/1.71        | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl3278, zip_derived_cl4021])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl4726, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl4060, zip_derived_cl3645])).
% 7.97/1.71  thf(zip_derived_cl5079, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c3))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl5072, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl5106, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c7))
% 7.97/1.71        | ((sk_c4) = (sk_c3))
% 7.97/1.71        | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl4726, zip_derived_cl5079])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl5112, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c3))
% 7.97/1.71        | ((sk_c4) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl5106, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl5120, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c3)) | ((sk_c4) = (sk_c7)) | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl5112, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl5160, plain,
% 7.97/1.71      ((((sk_c3) != (sk_c7)) | ((sk_c7) = (identity)) | ((sk_c4) = (sk_c7)))),
% 7.97/1.71      inference('eq_fact', [status(thm)], [zip_derived_cl5120])).
% 7.97/1.71  thf(zip_derived_cl4726, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl4060, zip_derived_cl3645])).
% 7.97/1.71  thf(zip_derived_cl33, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl52, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71          | ((multiply @ sk_c5 @ X0)
% 7.97/1.71              = (multiply @ sk_c6 @ (multiply @ sk_c7 @ X0))))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 7.97/1.71  thf(zip_derived_cl242, plain,
% 7.97/1.71      ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 7.97/1.71        | ((multiply @ sk_c5 @ sk_c3) = (multiply @ sk_c6 @ identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl52])).
% 7.97/1.71  thf(zip_derived_cl248, plain,
% 7.97/1.71      ((((multiply @ sk_c5 @ sk_c3) = (multiply @ sk_c6 @ identity))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl242])).
% 7.97/1.71  thf(zip_derived_cl3275, plain, (((identity) = (sk_c5))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl3274, zip_derived_cl3063])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl4021, plain, (((sk_c7) = (sk_c6))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 7.97/1.71  thf(zip_derived_cl4537, plain,
% 7.97/1.71      ((((sk_c3) = (multiply @ sk_c7 @ identity))
% 7.97/1.71        | ((multiply @ sk_c1 @ sk_c7) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl248, zip_derived_cl3275, zip_derived_cl0, 
% 7.97/1.71                 zip_derived_cl4021, zip_derived_cl4021])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl4728, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c7)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl4537, zip_derived_cl3645])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl4801, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl4728, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl4817, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c7))
% 7.97/1.71        | ((sk_c3) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl4726, zip_derived_cl4801])).
% 7.97/1.71  thf(zip_derived_cl41, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 7.97/1.71  thf(zip_derived_cl4823, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c7))
% 7.97/1.71        | ((sk_c4) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl4817, zip_derived_cl41])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl4829, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c7)) | ((sk_c4) = (sk_c7)) | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('demod', [status(thm)], [zip_derived_cl4823, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl5162, plain,
% 7.97/1.71      ((((sk_c4) = (sk_c7)) | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl5160, zip_derived_cl4829])).
% 7.97/1.71  thf(zip_derived_cl5639, plain,
% 7.97/1.71      ((((sk_c7) = (identity)) | ((sk_c3) = (sk_c7)) | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl5579, zip_derived_cl5162])).
% 7.97/1.71  thf(zip_derived_cl5642, plain,
% 7.97/1.71      ((((sk_c3) = (sk_c7)) | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl5639])).
% 7.97/1.71  thf(zip_derived_cl11420, plain,
% 7.97/1.71      ((((identity) = (sk_c7))
% 7.97/1.71        | ((identity) = (sk_c7))
% 7.97/1.71        | ((sk_c7) = (identity)))),
% 7.97/1.71      inference('s_sup+', [status(thm)],
% 7.97/1.71                [zip_derived_cl11393, zip_derived_cl5642])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl11602, plain,
% 7.97/1.71      ((((identity) != (identity)) | ((sk_c6) = (identity)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl3023, zip_derived_cl11473])).
% 7.97/1.71  thf(zip_derived_cl11603, plain, (((sk_c6) = (identity))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11602])).
% 7.97/1.71  thf(zip_derived_cl11603, plain, (((sk_c6) = (identity))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11602])).
% 7.97/1.71  thf(zip_derived_cl11603, plain, (((sk_c6) = (identity))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11602])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl3275, plain, (((identity) = (sk_c5))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl3274, zip_derived_cl3063])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl3275, plain, (((identity) = (sk_c5))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl3274, zip_derived_cl3063])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl3275, plain, (((identity) = (sk_c5))),
% 7.97/1.71      inference('clc', [status(thm)], [zip_derived_cl3274, zip_derived_cl3063])).
% 7.97/1.71  thf(zip_derived_cl0, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_identity])).
% 7.97/1.71  thf(zip_derived_cl11603, plain, (((sk_c6) = (identity))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11602])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl11473, plain, (((identity) = (sk_c7))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11420])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl11603, plain, (((sk_c6) = (identity))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl11602])).
% 7.97/1.71  thf(zip_derived_cl14256, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.97/1.71         (((X0) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((X1) != (identity))
% 7.97/1.71          | ((inverse @ X1) != (identity))
% 7.97/1.71          | ((identity) != (identity))
% 7.97/1.71          | ((inverse @ X2) != (identity))
% 7.97/1.71          | ((X2) != (identity))
% 7.97/1.71          | ((identity) != (identity))
% 7.97/1.71          | ((inverse @ X3) != (identity))
% 7.97/1.71          | ((X3) != (identity)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl2588, zip_derived_cl3275, zip_derived_cl3645, 
% 7.97/1.71                 zip_derived_cl11603, zip_derived_cl11603, 
% 7.97/1.71                 zip_derived_cl11603, zip_derived_cl3645, zip_derived_cl11473, 
% 7.97/1.71                 zip_derived_cl11473, zip_derived_cl11473, 
% 7.97/1.71                 zip_derived_cl11473, zip_derived_cl0, zip_derived_cl3275, 
% 7.97/1.71                 zip_derived_cl11473, zip_derived_cl11473, zip_derived_cl3645, 
% 7.97/1.71                 zip_derived_cl3275, zip_derived_cl11473, zip_derived_cl3275, 
% 7.97/1.71                 zip_derived_cl0, zip_derived_cl11603, zip_derived_cl11473, 
% 7.97/1.71                 zip_derived_cl11473, zip_derived_cl3645, zip_derived_cl11603])).
% 7.97/1.71  thf(zip_derived_cl14257, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.97/1.71         (((X3) != (identity))
% 7.97/1.71          | ((inverse @ X3) != (identity))
% 7.97/1.71          | ((X2) != (identity))
% 7.97/1.71          | ((inverse @ X2) != (identity))
% 7.97/1.71          | ((inverse @ X1) != (identity))
% 7.97/1.71          | ((X1) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((X0) != (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl14256])).
% 7.97/1.71  thf(zip_derived_cl14258, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         (((X0) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((X1) != (identity))
% 7.97/1.71          | ((inverse @ X1) != (identity))
% 7.97/1.71          | ((inverse @ X2) != (identity))
% 7.97/1.71          | ((X2) != (identity))
% 7.97/1.71          | ((inverse @ identity) != (identity)))),
% 7.97/1.71      inference('eq_res', [status(thm)], [zip_derived_cl14257])).
% 7.97/1.71  thf(zip_derived_cl3645, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl130])).
% 7.97/1.71  thf(zip_derived_cl1, plain,
% 7.97/1.71      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.97/1.71      inference('cnf', [status(esa)], [left_inverse])).
% 7.97/1.71  thf(zip_derived_cl4737, plain, (((inverse @ identity) = (identity))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl3645, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl14259, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         (((X0) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((X1) != (identity))
% 7.97/1.71          | ((inverse @ X1) != (identity))
% 7.97/1.71          | ((inverse @ X2) != (identity))
% 7.97/1.71          | ((X2) != (identity))
% 7.97/1.71          | ((identity) != (identity)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl14258, zip_derived_cl4737])).
% 7.97/1.71  thf(zip_derived_cl14260, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i, X2 : $i]:
% 7.97/1.71         (((X2) != (identity))
% 7.97/1.71          | ((inverse @ X2) != (identity))
% 7.97/1.71          | ((inverse @ X1) != (identity))
% 7.97/1.71          | ((X1) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((X0) != (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl14259])).
% 7.97/1.71  thf(zip_derived_cl14264, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         (((X0) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((X1) != (identity))
% 7.97/1.71          | ((inverse @ X1) != (identity))
% 7.97/1.71          | ((inverse @ identity) != (identity)))),
% 7.97/1.71      inference('eq_res', [status(thm)], [zip_derived_cl14260])).
% 7.97/1.71  thf(zip_derived_cl4737, plain, (((inverse @ identity) = (identity))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl3645, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl14265, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         (((X0) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((X1) != (identity))
% 7.97/1.71          | ((inverse @ X1) != (identity))
% 7.97/1.71          | ((identity) != (identity)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl14264, zip_derived_cl4737])).
% 7.97/1.71  thf(zip_derived_cl14266, plain,
% 7.97/1.71      (![X0 : $i, X1 : $i]:
% 7.97/1.71         (((inverse @ X1) != (identity))
% 7.97/1.71          | ((X1) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((X0) != (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl14265])).
% 7.97/1.71  thf(zip_derived_cl14280, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((X0) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((inverse @ identity) != (identity)))),
% 7.97/1.71      inference('eq_res', [status(thm)], [zip_derived_cl14266])).
% 7.97/1.71  thf(zip_derived_cl4737, plain, (((inverse @ identity) = (identity))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl3645, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl14281, plain,
% 7.97/1.71      (![X0 : $i]:
% 7.97/1.71         (((X0) != (identity))
% 7.97/1.71          | ((inverse @ X0) != (identity))
% 7.97/1.71          | ((identity) != (identity)))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl14280, zip_derived_cl4737])).
% 7.97/1.71  thf(zip_derived_cl14282, plain,
% 7.97/1.71      (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl14281])).
% 7.97/1.71  thf(zip_derived_cl14283, plain, (((inverse @ identity) != (identity))),
% 7.97/1.71      inference('eq_res', [status(thm)], [zip_derived_cl14282])).
% 7.97/1.71  thf(zip_derived_cl4737, plain, (((inverse @ identity) = (identity))),
% 7.97/1.71      inference('s_sup+', [status(thm)], [zip_derived_cl3645, zip_derived_cl1])).
% 7.97/1.71  thf(zip_derived_cl14284, plain, (((identity) != (identity))),
% 7.97/1.71      inference('demod', [status(thm)],
% 7.97/1.71                [zip_derived_cl14283, zip_derived_cl4737])).
% 7.97/1.71  thf(zip_derived_cl14285, plain, ($false),
% 7.97/1.71      inference('simplify', [status(thm)], [zip_derived_cl14284])).
% 7.97/1.71  
% 7.97/1.71  % SZS output end Refutation
% 7.97/1.71  
% 7.97/1.71  
% 7.97/1.71  % Terminating...
% 7.97/1.76  % Runner terminated.
% 7.97/1.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------