TSTP Solution File: GRP381-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP381-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jpabHl5hOe true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:26 EDT 2023
% Result : Unsatisfiable 0.56s 0.85s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP381-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jpabHl5hOe true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:14:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.85 % Solved by fo/fo7.sh.
% 0.56/0.85 % done 267 iterations in 0.097s
% 0.56/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.85 % SZS output start Refutation
% 0.56/0.85 thf(sk_c2_type, type, sk_c2: $i).
% 0.56/0.85 thf(sk_c5_type, type, sk_c5: $i).
% 0.56/0.85 thf(sk_c1_type, type, sk_c1: $i).
% 0.56/0.85 thf(sk_c4_type, type, sk_c4: $i).
% 0.56/0.85 thf(identity_type, type, identity: $i).
% 0.56/0.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.85 thf(sk_c6_type, type, sk_c6: $i).
% 0.56/0.85 thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.85 thf(sk_c3_type, type, sk_c3: $i).
% 0.56/0.85 thf(sk_c7_type, type, sk_c7: $i).
% 0.56/0.85 thf(prove_this_31, conjecture,
% 0.56/0.85 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.56/0.85 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c7 ) != ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.85 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.56/0.85 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c7 ) != ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.56/0.85 thf(zip_derived_cl33, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.56/0.85 | ((inverse @ X0) != (sk_c6))
% 0.56/0.85 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.56/0.85 | ((inverse @ X2) != (sk_c6))
% 0.56/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c7) != (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.85 thf(zip_derived_cl34, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((multiply @ X0 @ (multiply @ (inverse @ sk_c7) @ sk_c7))
% 0.56/0.85 != (inverse @ sk_c7))
% 0.56/0.85 | ((inverse @ X0) != (inverse @ sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ (inverse @ sk_c7)) != (sk_c7))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((multiply @ (inverse @ sk_c7) @ sk_c7) != (sk_c5))
% 0.56/0.85 | ((inverse @ X2) != (inverse @ sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ (inverse @ sk_c7)) != (sk_c7))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (inverse @ sk_c7))
% 0.56/0.85 | ((multiply @ (inverse @ sk_c7) @
% 0.56/0.85 (multiply @ (inverse @ sk_c7) @ sk_c7)) != (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c7) != (sk_c6)))),
% 0.56/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.56/0.85 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl35, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((multiply @ X0 @ identity) != (inverse @ sk_c7))
% 0.56/0.85 | ((inverse @ X0) != (inverse @ sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ (inverse @ sk_c7)) != (sk_c7))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((identity) != (sk_c5))
% 0.56/0.85 | ((inverse @ X2) != (inverse @ sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ (inverse @ sk_c7)) != (sk_c7))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (inverse @ sk_c7))
% 0.56/0.85 | ((multiply @ (inverse @ sk_c7) @ identity) != (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c7) != (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl34, zip_derived_cl1, zip_derived_cl1,
% 0.56/0.85 zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(associativity, axiom,
% 0.56/0.85 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/0.85 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl58, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((multiply @ identity @ X0)
% 0.56/0.85 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.85 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl91, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl88, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl528, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl528, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl550, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((X0) != (inverse @ sk_c7))
% 0.56/0.85 | ((inverse @ X0) != (inverse @ sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ (inverse @ sk_c7)) != (sk_c7))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((identity) != (sk_c5))
% 0.56/0.85 | ((inverse @ X2) != (inverse @ sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ (inverse @ sk_c7)) != (sk_c7))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (inverse @ sk_c7))
% 0.56/0.85 | ((inverse @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c7) != (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl35, zip_derived_cl528, zip_derived_cl528])).
% 0.56/0.85 thf(zip_derived_cl551, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((X0) != (sk_c7))
% 0.56/0.85 | ((inverse @ X0) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((identity) != (sk_c5))
% 0.56/0.85 | ((inverse @ X2) != (sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((sk_c7) != (sk_c6)))),
% 0.56/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl550])).
% 0.56/0.85 thf(prove_this_27, conjecture,
% 0.56/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.85 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.56/0.85 thf(zip_derived_cl29, plain,
% 0.56/0.85 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl42, plain,
% 0.56/0.85 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl100, plain,
% 0.56/0.85 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl77])).
% 0.56/0.85 thf(prove_this_22, conjecture,
% 0.56/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_2, negated_conjecture,
% 0.56/0.85 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.56/0.85 thf(zip_derived_cl24, plain,
% 0.56/0.85 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85 thf(zip_derived_cl159, plain,
% 0.56/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.56/0.85 = (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl24])).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl170, plain,
% 0.56/0.85 ((((identity) = (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl159, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.85 zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl171, plain,
% 0.56/0.85 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl170])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl177, plain,
% 0.56/0.85 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl315, plain,
% 0.56/0.85 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/0.85 | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl528, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl562, plain,
% 0.56/0.85 ((((sk_c3) = (inverse @ sk_c7)) | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl315, zip_derived_cl528])).
% 0.56/0.85 thf(prove_this_19, conjecture,
% 0.56/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.85 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.56/0.85 thf(zip_derived_cl21, plain,
% 0.56/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl40, plain,
% 0.56/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl96, plain,
% 0.56/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl77])).
% 0.56/0.85 thf(prove_this_14, conjecture,
% 0.56/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.85 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.56/0.85 thf(zip_derived_cl16, plain,
% 0.56/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.85 thf(zip_derived_cl140, plain,
% 0.56/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/0.85 = (sk_c6))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl16])).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl153, plain,
% 0.56/0.85 ((((identity) = (sk_c6))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl140, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.85 zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl154, plain,
% 0.56/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 0.56/0.85 thf(prove_this_20, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.56/0.85 thf(zip_derived_cl22, plain,
% 0.56/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl49, plain,
% 0.56/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl366, plain,
% 0.56/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl77])).
% 0.56/0.85 thf(prove_this_15, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_6, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.56/0.85 thf(zip_derived_cl17, plain,
% 0.56/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/0.85 thf(zip_derived_cl482, plain,
% 0.56/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/0.85 = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl17])).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl496, plain,
% 0.56/0.85 ((((identity) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl482, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.85 zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl497, plain,
% 0.56/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl496])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl501, plain,
% 0.56/0.85 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 0.56/0.85 | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl497, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl1216, plain,
% 0.56/0.85 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.85 | ((identity) = (sk_c6))
% 0.56/0.85 | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl501])).
% 0.56/0.85 thf(zip_derived_cl1222, plain,
% 0.56/0.85 ((((identity) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1216])).
% 0.56/0.85 thf(prove_this_16, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_7, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.56/0.85 thf(zip_derived_cl18, plain,
% 0.56/0.85 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl38, plain,
% 0.56/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl94, plain,
% 0.56/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl77])).
% 0.56/0.85 thf(prove_this_11, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_8, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.56/0.85 thf(zip_derived_cl13, plain,
% 0.56/0.85 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/0.85 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.85 thf(zip_derived_cl198, plain,
% 0.56/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/0.85 = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl13])).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl211, plain,
% 0.56/0.85 ((((identity) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl198, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.85 zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl212, plain,
% 0.56/0.85 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl211])).
% 0.56/0.85 thf(zip_derived_cl1234, plain,
% 0.56/0.85 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.85 | ((identity) = (sk_c6))
% 0.56/0.85 | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1222, zip_derived_cl212])).
% 0.56/0.85 thf(zip_derived_cl1239, plain,
% 0.56/0.85 ((((identity) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1234])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl1294, plain,
% 0.56/0.85 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 0.56/0.85 | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1239, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl1296, plain,
% 0.56/0.85 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1294, zip_derived_cl77])).
% 0.56/0.85 thf(prove_this_18, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_9, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.56/0.85 thf(zip_derived_cl20, plain,
% 0.56/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/0.85 thf(zip_derived_cl528, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl91, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl573, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl528, zip_derived_cl91])).
% 0.56/0.85 thf(zip_derived_cl593, plain,
% 0.56/0.85 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl573])).
% 0.56/0.85 thf(prove_this_13, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_10, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.56/0.85 thf(zip_derived_cl15, plain,
% 0.56/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.56/0.85 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.85 thf(zip_derived_cl964, plain,
% 0.56/0.85 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl593, zip_derived_cl15])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl978, plain,
% 0.56/0.85 ((((identity) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl964, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl979, plain,
% 0.56/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl978])).
% 0.56/0.85 thf(zip_derived_cl1318, plain,
% 0.56/0.85 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 0.56/0.85 | ((identity) = (sk_c6))
% 0.56/0.85 | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1296, zip_derived_cl979])).
% 0.56/0.85 thf(zip_derived_cl1327, plain,
% 0.56/0.85 ((((identity) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c7)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1318])).
% 0.56/0.85 thf(zip_derived_cl1477, plain,
% 0.56/0.85 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 0.56/0.85 | ((identity) = (sk_c7))
% 0.56/0.85 | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl562, zip_derived_cl1327])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl1481, plain,
% 0.56/0.85 ((((identity) = (sk_c7))
% 0.56/0.85 | ((identity) = (sk_c7))
% 0.56/0.85 | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1477, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl1482, plain,
% 0.56/0.85 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1481])).
% 0.56/0.85 thf(zip_derived_cl1296, plain,
% 0.56/0.85 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1294, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl1321, plain,
% 0.56/0.85 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl1296])).
% 0.56/0.85 thf(zip_derived_cl1488, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl1482, zip_derived_cl1321])).
% 0.56/0.85 thf(zip_derived_cl1536, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((X0) != (sk_c7))
% 0.56/0.85 | ((inverse @ X0) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((identity) != (sk_c5))
% 0.56/0.85 | ((inverse @ X2) != (sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c7) != (sk_c7))
% 0.56/0.85 | ((sk_c7) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl1488])).
% 0.56/0.85 thf(zip_derived_cl1537, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((multiply @ X1 @ identity) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((identity) != (sk_c5))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((multiply @ X2 @ identity) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (identity))
% 0.56/0.85 | ((multiply @ X3 @ identity) != (identity))
% 0.56/0.85 | ((inverse @ identity) != (identity))
% 0.56/0.85 | ((sk_c7) != (identity)))),
% 0.56/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl1536])).
% 0.56/0.85 thf(zip_derived_cl528, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl528, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl528, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl90, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl126, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl515, plain, (((inverse @ identity) = (identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl1538, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((identity) != (sk_c5))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((X2) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (identity))
% 0.56/0.85 | ((X3) != (identity))
% 0.56/0.85 | ((identity) != (identity))
% 0.56/0.85 | ((sk_c7) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl1537, zip_derived_cl528, zip_derived_cl528,
% 0.56/0.85 zip_derived_cl528, zip_derived_cl515])).
% 0.56/0.85 thf(zip_derived_cl1539, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((sk_c7) != (identity))
% 0.56/0.85 | ((X3) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (identity))
% 0.56/0.85 | ((X2) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((identity) != (sk_c5))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X0) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1538])).
% 0.56/0.85 thf(prove_this_6, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_11, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.56/0.85 thf(zip_derived_cl8, plain,
% 0.56/0.85 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/0.85 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/0.85 thf(zip_derived_cl1488, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl1482, zip_derived_cl1321])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1488, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl1482, zip_derived_cl1321])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1494, plain, ((((sk_c7) = (sk_c5)) | ((sk_c5) = (sk_c7)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl8, zip_derived_cl1488, zip_derived_cl0,
% 0.56/0.85 zip_derived_cl1488, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl1495, plain, (((sk_c7) = (sk_c5))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1494])).
% 0.56/0.85 thf(zip_derived_cl1578, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((sk_c7) != (identity))
% 0.56/0.85 | ((X3) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (identity))
% 0.56/0.85 | ((X2) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((identity) != (sk_c7))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X0) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl1539, zip_derived_cl1495])).
% 0.56/0.85 thf(zip_derived_cl1579, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((X2) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (identity))
% 0.56/0.85 | ((X3) != (identity))
% 0.56/0.85 | ((sk_c7) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1578])).
% 0.56/0.85 thf(prove_this_29, conjecture,
% 0.56/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_12, negated_conjecture,
% 0.56/0.85 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.56/0.85 thf(zip_derived_cl31, plain,
% 0.56/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl43, plain,
% 0.56/0.85 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl101, plain,
% 0.56/0.85 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl77])).
% 0.56/0.85 thf(prove_this_24, conjecture,
% 0.56/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_13, negated_conjecture,
% 0.56/0.85 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.56/0.85 thf(zip_derived_cl26, plain,
% 0.56/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/0.85 thf(zip_derived_cl282, plain,
% 0.56/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.56/0.85 = (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl26])).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl293, plain,
% 0.56/0.85 ((((identity) = (sk_c7))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6))
% 0.56/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl282, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.85 zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl294, plain,
% 0.56/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl293])).
% 0.56/0.85 thf(prove_this_30, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_14, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.56/0.85 thf(zip_derived_cl32, plain,
% 0.56/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.56/0.85 thf(zip_derived_cl573, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl528, zip_derived_cl91])).
% 0.56/0.85 thf(zip_derived_cl600, plain,
% 0.56/0.85 ((((sk_c2) = (inverse @ sk_c6)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl573])).
% 0.56/0.85 thf(prove_this_25, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_15, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.56/0.85 thf(zip_derived_cl27, plain,
% 0.56/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.56/0.85 thf(zip_derived_cl1076, plain,
% 0.56/0.85 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl27])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl1090, plain,
% 0.56/0.85 ((((identity) = (sk_c7))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1076, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl1091, plain,
% 0.56/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1090])).
% 0.56/0.85 thf(zip_derived_cl77, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl1164, plain,
% 0.56/0.85 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 0.56/0.85 | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1091, zip_derived_cl77])).
% 0.56/0.85 thf(zip_derived_cl1248, plain,
% 0.56/0.85 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.85 | ((identity) = (sk_c7))
% 0.56/0.85 | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl1164])).
% 0.56/0.85 thf(zip_derived_cl1253, plain,
% 0.56/0.85 ((((identity) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1248])).
% 0.56/0.85 thf(zip_derived_cl1488, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl1482, zip_derived_cl1321])).
% 0.56/0.85 thf(zip_derived_cl1488, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl1482, zip_derived_cl1321])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1562, plain,
% 0.56/0.85 ((((identity) = (sk_c7)) | ((sk_c5) = (identity)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl1253, zip_derived_cl1488, zip_derived_cl1488,
% 0.56/0.85 zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl1495, plain, (((sk_c7) = (sk_c5))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1494])).
% 0.56/0.85 thf(zip_derived_cl1609, plain,
% 0.56/0.85 ((((sk_c7) = (identity)) | ((identity) = (sk_c7)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1562, zip_derived_cl1495])).
% 0.56/0.85 thf(zip_derived_cl1610, plain, (((sk_c7) = (identity))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1609])).
% 0.56/0.85 thf(zip_derived_cl1619, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((X2) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (identity))
% 0.56/0.85 | ((X3) != (identity))
% 0.56/0.85 | ((identity) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl1579, zip_derived_cl1610])).
% 0.56/0.85 thf(zip_derived_cl1620, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((X3) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (identity))
% 0.56/0.85 | ((X2) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X0) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1619])).
% 0.56/0.85 thf(zip_derived_cl1629, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((X2) != (identity))
% 0.56/0.85 | ((inverse @ identity) != (identity)))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1620])).
% 0.56/0.85 thf(zip_derived_cl515, plain, (((inverse @ identity) = (identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl1630, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((X2) != (identity))
% 0.56/0.85 | ((identity) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1629, zip_derived_cl515])).
% 0.56/0.85 thf(zip_derived_cl1631, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((X2) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X0) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1630])).
% 0.56/0.85 thf(zip_derived_cl1632, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((inverse @ identity) != (identity)))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1631])).
% 0.56/0.85 thf(zip_derived_cl515, plain, (((inverse @ identity) = (identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl1633, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (identity))
% 0.56/0.85 | ((identity) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1632, zip_derived_cl515])).
% 0.56/0.85 thf(zip_derived_cl1634, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((inverse @ X1) != (identity))
% 0.56/0.85 | ((X1) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((X0) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 0.56/0.85 thf(zip_derived_cl1635, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((inverse @ identity) != (identity)))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1634])).
% 0.56/0.85 thf(zip_derived_cl515, plain, (((inverse @ identity) = (identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl1636, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((X0) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (identity))
% 0.56/0.85 | ((identity) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1635, zip_derived_cl515])).
% 0.56/0.85 thf(zip_derived_cl1637, plain,
% 0.56/0.85 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1636])).
% 0.56/0.85 thf(zip_derived_cl1638, plain, (((inverse @ identity) != (identity))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1637])).
% 0.56/0.85 thf(zip_derived_cl515, plain, (((inverse @ identity) = (identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl1639, plain, (((identity) != (identity))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1638, zip_derived_cl515])).
% 0.56/0.85 thf(zip_derived_cl1640, plain, ($false),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1639])).
% 0.56/0.85
% 0.56/0.85 % SZS output end Refutation
% 0.56/0.85
% 0.56/0.85
% 0.56/0.85 % Terminating...
% 1.49/0.95 % Runner terminated.
% 1.49/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------