TSTP Solution File: GRP333-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP333-1 : 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.TSNQlzJjlf true
% Computer : n032.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 01:51:14 EDT 2023
% Result : Unsatisfiable 1.34s 0.76s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP333-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TSNQlzJjlf true
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 28 20:37:01 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.16/0.53 % Total configuration time : 435
% 0.16/0.53 % Estimated wc time : 1092
% 0.16/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.56 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.59 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.96/0.61 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.61 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.76 % Solved by fo/fo7.sh.
% 1.34/0.76 % done 482 iterations in 0.147s
% 1.34/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.76 % SZS output start Refutation
% 1.34/0.76 thf(sk_c2_type, type, sk_c2: $i).
% 1.34/0.76 thf(sk_c5_type, type, sk_c5: $i).
% 1.34/0.76 thf(sk_c4_type, type, sk_c4: $i).
% 1.34/0.76 thf(sk_c3_type, type, sk_c3: $i).
% 1.34/0.76 thf(identity_type, type, identity: $i).
% 1.34/0.76 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.34/0.76 thf(sk_c7_type, type, sk_c7: $i).
% 1.34/0.76 thf(inverse_type, type, inverse: $i > $i).
% 1.34/0.76 thf(sk_c1_type, type, sk_c1: $i).
% 1.34/0.76 thf(sk_c6_type, type, sk_c6: $i).
% 1.34/0.76 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(associativity, axiom,
% 1.34/0.76 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.34/0.76 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.34/0.76 thf(zip_derived_cl2, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/0.76 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/0.76 inference('cnf', [status(esa)], [associativity])).
% 1.34/0.76 thf(zip_derived_cl58, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((multiply @ identity @ X0)
% 1.34/0.76 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl95, plain,
% 1.34/0.76 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl76])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl124, plain,
% 1.34/0.76 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl76])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl311, plain, (((inverse @ identity) = (identity))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl1])).
% 1.34/0.76 thf(prove_this_18, conjecture,
% 1.34/0.76 (~( ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.34/0.76 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.34/0.76 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) ))).
% 1.34/0.76 thf(zf_stmt_0, negated_conjecture,
% 1.34/0.76 (( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.34/0.76 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.34/0.76 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( inverse @ X4 ) != ( sk_c6 ) ) | ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.34/0.76 thf(zip_derived_cl20, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.76 (((inverse @ X0) != (sk_c6))
% 1.34/0.76 | ((multiply @ X0 @ sk_c6) != (sk_c5))
% 1.34/0.76 | ((inverse @ X1) != (sk_c7))
% 1.34/0.76 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.34/0.76 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 1.34/0.76 | ((inverse @ X2) != (sk_c6))
% 1.34/0.76 | ((inverse @ X3) != (sk_c6))
% 1.34/0.76 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.34/0.76 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/0.76 thf(zip_derived_cl21, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.76 (((inverse @ X0) != (sk_c6))
% 1.34/0.76 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((inverse @ X1) != (sk_c7))
% 1.34/0.76 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.34/0.76 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.34/0.76 | ((inverse @ X2) != (sk_c6))
% 1.34/0.76 | ((inverse @ X3) != (sk_c6))
% 1.34/0.76 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.34/0.76 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 1.34/0.76 inference('local_rewriting', [status(thm)], [zip_derived_cl20])).
% 1.34/0.76 thf(prove_this_1, conjecture, (( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ))).
% 1.34/0.76 thf(zf_stmt_1, negated_conjecture,
% 1.34/0.76 (( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.34/0.76 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/0.76 thf(zip_derived_cl22, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.76 (((inverse @ X0) != (sk_c6))
% 1.34/0.76 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((inverse @ X1) != (sk_c7))
% 1.34/0.76 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.34/0.76 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.34/0.76 | ((inverse @ X2) != (sk_c6))
% 1.34/0.76 | ((inverse @ X3) != (sk_c6))
% 1.34/0.76 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.34/0.76 | ((multiply @ sk_c6 @ sk_c7) != (multiply @ sk_c6 @ sk_c7)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 1.34/0.76 thf(zip_derived_cl23, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.76 (((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.34/0.76 | ((inverse @ X3) != (sk_c6))
% 1.34/0.76 | ((inverse @ X2) != (sk_c6))
% 1.34/0.76 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.34/0.76 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.34/0.76 | ((inverse @ X1) != (sk_c7))
% 1.34/0.76 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((inverse @ X0) != (sk_c6)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl22])).
% 1.34/0.76 thf(prove_this_7, conjecture,
% 1.34/0.76 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/0.76 thf(zf_stmt_2, negated_conjecture,
% 1.34/0.76 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.34/0.76 thf(zip_derived_cl9, plain,
% 1.34/0.76 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl26, plain,
% 1.34/0.76 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl104, plain,
% 1.34/0.76 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl76])).
% 1.34/0.76 thf(prove_this_6, conjecture,
% 1.34/0.76 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/0.76 thf(zf_stmt_3, negated_conjecture,
% 1.34/0.76 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.34/0.76 thf(zip_derived_cl8, plain,
% 1.34/0.76 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.34/0.76 thf(zip_derived_cl186, plain,
% 1.34/0.76 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.34/0.76 = (sk_c6))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl8])).
% 1.34/0.76 thf(zip_derived_cl2, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/0.76 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/0.76 inference('cnf', [status(esa)], [associativity])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl192, plain,
% 1.34/0.76 ((((identity) = (sk_c6))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl186, zip_derived_cl2, zip_derived_cl0,
% 1.34/0.76 zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl193, plain,
% 1.34/0.76 ((((inverse @ sk_c1) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl192])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl196, plain,
% 1.34/0.76 ((((multiply @ sk_c6 @ sk_c1) = (identity)) | ((identity) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl209, plain,
% 1.34/0.76 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.34/0.76 | ((identity) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl76])).
% 1.34/0.76 thf(prove_this_3, conjecture,
% 1.34/0.76 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.34/0.76 thf(zf_stmt_4, negated_conjecture,
% 1.34/0.76 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.34/0.76 thf(zip_derived_cl5, plain,
% 1.34/0.76 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl36, plain,
% 1.34/0.76 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl105, plain,
% 1.34/0.76 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl76])).
% 1.34/0.76 thf(prove_this_2, conjecture,
% 1.34/0.76 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.34/0.76 thf(zf_stmt_5, negated_conjecture,
% 1.34/0.76 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.34/0.76 thf(zip_derived_cl4, plain,
% 1.34/0.76 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.34/0.76 thf(zip_derived_cl322, plain,
% 1.34/0.76 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.34/0.76 = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl4])).
% 1.34/0.76 thf(zip_derived_cl2, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/0.76 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/0.76 inference('cnf', [status(esa)], [associativity])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl331, plain,
% 1.34/0.76 ((((identity) = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl322, zip_derived_cl2, zip_derived_cl0,
% 1.34/0.76 zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl332, plain,
% 1.34/0.76 ((((multiply @ sk_c1 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl331])).
% 1.34/0.76 thf(zip_derived_cl339, plain,
% 1.34/0.76 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.34/0.76 = (sk_c7))
% 1.34/0.76 | ((identity) = (sk_c6))
% 1.34/0.76 | ((identity) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl332])).
% 1.34/0.76 thf(zip_derived_cl2, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/0.76 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/0.76 inference('cnf', [status(esa)], [associativity])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl340, plain,
% 1.34/0.76 ((((identity) = (sk_c7))
% 1.34/0.76 | ((identity) = (sk_c6))
% 1.34/0.76 | ((identity) = (sk_c6)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl339, zip_derived_cl2, zip_derived_cl0,
% 1.34/0.76 zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl341, plain,
% 1.34/0.76 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl340])).
% 1.34/0.76 thf(prove_this_11, conjecture,
% 1.34/0.76 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.34/0.76 thf(zf_stmt_6, negated_conjecture,
% 1.34/0.76 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.34/0.76 thf(zip_derived_cl13, plain,
% 1.34/0.76 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl30, plain,
% 1.34/0.76 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.34/0.76 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl100, plain,
% 1.34/0.76 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.34/0.76 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl76])).
% 1.34/0.76 thf(prove_this_15, conjecture,
% 1.34/0.76 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.34/0.76 thf(zf_stmt_7, negated_conjecture,
% 1.34/0.76 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.34/0.76 thf(zip_derived_cl17, plain,
% 1.34/0.76 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.34/0.76 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/0.76 thf(zip_derived_cl50, plain,
% 1.34/0.76 ((((inverse @ sk_c3) = (sk_c7))
% 1.34/0.76 | ((multiply @ sk_c2 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl3])).
% 1.34/0.76 thf(zip_derived_cl145, plain,
% 1.34/0.76 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @
% 1.34/0.76 (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 1.34/0.76 | ((inverse @ sk_c3) = (sk_c7))
% 1.34/0.76 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl50])).
% 1.34/0.76 thf(zip_derived_cl2, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/0.76 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/0.76 inference('cnf', [status(esa)], [associativity])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl151, plain,
% 1.34/0.76 ((((sk_c7) = (sk_c6))
% 1.34/0.76 | ((inverse @ sk_c3) = (sk_c7))
% 1.34/0.76 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl145, zip_derived_cl2, zip_derived_cl0,
% 1.34/0.76 zip_derived_cl76])).
% 1.34/0.76 thf(zip_derived_cl152, plain,
% 1.34/0.76 ((((inverse @ sk_c3) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl151])).
% 1.34/0.76 thf(prove_this_10, conjecture,
% 1.34/0.76 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.34/0.76 thf(zf_stmt_8, negated_conjecture,
% 1.34/0.76 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.34/0.76 thf(zip_derived_cl12, plain,
% 1.34/0.76 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl42, plain,
% 1.34/0.76 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.34/0.76 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl102, plain,
% 1.34/0.76 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.34/0.76 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl76])).
% 1.34/0.76 thf(prove_this_14, conjecture,
% 1.34/0.76 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.34/0.76 thf(zf_stmt_9, negated_conjecture,
% 1.34/0.76 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.34/0.76 thf(zip_derived_cl16, plain,
% 1.34/0.76 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.34/0.76 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/0.76 thf(zip_derived_cl53, plain,
% 1.34/0.76 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c2 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl3])).
% 1.34/0.76 thf(zip_derived_cl277, plain,
% 1.34/0.76 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @
% 1.34/0.76 (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl53])).
% 1.34/0.76 thf(zip_derived_cl2, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/0.76 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/0.76 inference('cnf', [status(esa)], [associativity])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl283, plain,
% 1.34/0.76 ((((sk_c7) = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.34/0.76 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl277, zip_derived_cl2, zip_derived_cl0,
% 1.34/0.76 zip_derived_cl76])).
% 1.34/0.76 thf(zip_derived_cl284, plain,
% 1.34/0.76 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl283])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl287, plain,
% 1.34/0.76 ((((sk_c7) = (multiply @ (inverse @ sk_c3) @ sk_c6))
% 1.34/0.76 | ((sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl76])).
% 1.34/0.76 thf(zip_derived_cl527, plain,
% 1.34/0.76 ((((sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 1.34/0.76 | ((sk_c7) = (sk_c6))
% 1.34/0.76 | ((sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl287])).
% 1.34/0.76 thf(zip_derived_cl531, plain,
% 1.34/0.76 ((((sk_c7) = (sk_c6)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl527])).
% 1.34/0.76 thf(zip_derived_cl537, plain,
% 1.34/0.76 ((((sk_c7) = (multiply @ identity @ sk_c6))
% 1.34/0.76 | ((identity) = (sk_c6))
% 1.34/0.76 | ((sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl341, zip_derived_cl531])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl538, plain,
% 1.34/0.76 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl537, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl539, plain,
% 1.34/0.76 ((((identity) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl538])).
% 1.34/0.76 thf(zip_derived_cl341, plain,
% 1.34/0.76 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl340])).
% 1.34/0.76 thf(zip_derived_cl552, plain,
% 1.34/0.76 ((((identity) = (sk_c6))
% 1.34/0.76 | ((identity) = (sk_c6))
% 1.34/0.76 | ((identity) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl539, zip_derived_cl341])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl572, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.76 (((multiply @ X3 @ identity) != (sk_c7))
% 1.34/0.76 | ((inverse @ X3) != (identity))
% 1.34/0.76 | ((inverse @ X2) != (identity))
% 1.34/0.76 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.34/0.76 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.34/0.76 | ((inverse @ X1) != (sk_c7))
% 1.34/0.76 | ((multiply @ X0 @ identity) != (sk_c7))
% 1.34/0.76 | ((inverse @ X0) != (identity)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl23, zip_derived_cl558, zip_derived_cl558,
% 1.34/0.76 zip_derived_cl558, zip_derived_cl558, zip_derived_cl0,
% 1.34/0.76 zip_derived_cl558, zip_derived_cl558, zip_derived_cl558,
% 1.34/0.76 zip_derived_cl558, zip_derived_cl0, zip_derived_cl558])).
% 1.34/0.76 thf(zip_derived_cl611, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 (((identity) != (identity))
% 1.34/0.76 | ((inverse @ X0) != (identity))
% 1.34/0.76 | ((multiply @ X0 @ identity) != (sk_c7))
% 1.34/0.76 | ((inverse @ X1) != (sk_c7))
% 1.34/0.76 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.34/0.76 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.34/0.76 | ((inverse @ X2) != (identity))
% 1.34/0.76 | ((multiply @ identity @ identity) != (sk_c7)))),
% 1.34/0.76 inference('sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl572])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl612, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 (((identity) != (identity))
% 1.34/0.76 | ((inverse @ X0) != (identity))
% 1.34/0.76 | ((multiply @ X0 @ identity) != (sk_c7))
% 1.34/0.76 | ((inverse @ X1) != (sk_c7))
% 1.34/0.76 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.34/0.76 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.34/0.76 | ((inverse @ X2) != (identity))
% 1.34/0.76 | ((identity) != (sk_c7)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl611, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl613, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 (((identity) != (sk_c7))
% 1.34/0.76 | ((inverse @ X2) != (identity))
% 1.34/0.76 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.34/0.76 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.34/0.76 | ((inverse @ X1) != (sk_c7))
% 1.34/0.76 | ((multiply @ X0 @ identity) != (sk_c7))
% 1.34/0.76 | ((inverse @ X0) != (identity)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl612])).
% 1.34/0.76 thf(zip_derived_cl614, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 (((identity) != (sk_c7))
% 1.34/0.76 | ((inverse @ X2) != (identity))
% 1.34/0.76 | ((multiply @ X2 @ identity) != (identity))
% 1.34/0.76 | ((multiply @ X1 @ identity) != (identity))
% 1.34/0.76 | ((inverse @ X1) != (identity))
% 1.34/0.76 | ((multiply @ X0 @ identity) != (identity))
% 1.34/0.76 | ((inverse @ X0) != (identity)))),
% 1.34/0.76 inference('local_rewriting', [status(thm)], [zip_derived_cl613])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl96, plain,
% 1.34/0.76 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl93, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl76])).
% 1.34/0.76 thf(zip_derived_cl1009, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.34/0.76 thf(zip_derived_cl1009, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.34/0.76 thf(zip_derived_cl1009, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.34/0.76 thf(zip_derived_cl1042, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 (((identity) != (sk_c7))
% 1.34/0.76 | ((inverse @ X2) != (identity))
% 1.34/0.76 | ((X2) != (identity))
% 1.34/0.76 | ((X1) != (identity))
% 1.34/0.76 | ((inverse @ X1) != (identity))
% 1.34/0.76 | ((X0) != (identity))
% 1.34/0.76 | ((inverse @ X0) != (identity)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl614, zip_derived_cl1009, zip_derived_cl1009,
% 1.34/0.76 zip_derived_cl1009])).
% 1.34/0.76 thf(prove_this_5, conjecture,
% 1.34/0.76 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.34/0.76 thf(zf_stmt_10, negated_conjecture,
% 1.34/0.76 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.34/0.76 thf(zip_derived_cl7, plain,
% 1.34/0.76 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl39, plain,
% 1.34/0.76 ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl99, plain,
% 1.34/0.76 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl76])).
% 1.34/0.76 thf(prove_this_4, conjecture,
% 1.34/0.76 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.34/0.76 thf(zf_stmt_11, negated_conjecture,
% 1.34/0.76 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.34/0.76 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.34/0.76 thf(zip_derived_cl6, plain,
% 1.34/0.76 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.34/0.76 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/0.76 thf(zip_derived_cl52, plain,
% 1.34/0.76 ((((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 1.34/0.76 thf(zip_derived_cl249, plain,
% 1.34/0.76 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.34/0.76 = (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl52])).
% 1.34/0.76 thf(zip_derived_cl2, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/0.76 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/0.76 inference('cnf', [status(esa)], [associativity])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl255, plain,
% 1.34/0.76 ((((identity) = (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7))
% 1.34/0.76 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl249, zip_derived_cl2, zip_derived_cl0,
% 1.34/0.76 zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl256, plain,
% 1.34/0.76 ((((multiply @ sk_c1 @ sk_c6) = (sk_c7))
% 1.34/0.76 | ((identity) = (multiply @ sk_c6 @ sk_c7)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl255])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl1009, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl1941, plain,
% 1.34/0.76 ((((sk_c1) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl256, zip_derived_cl558, zip_derived_cl1009,
% 1.34/0.76 zip_derived_cl558, zip_derived_cl0])).
% 1.34/0.76 thf(prove_this_9, conjecture,
% 1.34/0.76 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/0.76 thf(zf_stmt_12, negated_conjecture,
% 1.34/0.76 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.34/0.76 thf(zip_derived_cl11, plain,
% 1.34/0.76 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl27, plain,
% 1.34/0.76 ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl76, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl98, plain,
% 1.34/0.76 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl76])).
% 1.34/0.76 thf(prove_this_8, conjecture,
% 1.34/0.76 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/0.76 thf(zf_stmt_13, negated_conjecture,
% 1.34/0.76 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.34/0.76 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/0.76 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.34/0.76 thf(zip_derived_cl10, plain,
% 1.34/0.76 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.34/0.76 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.34/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/0.76 thf(zip_derived_cl49, plain,
% 1.34/0.76 ((((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 1.34/0.76 thf(zip_derived_cl130, plain,
% 1.34/0.76 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.34/0.76 = (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl49])).
% 1.34/0.76 thf(zip_derived_cl2, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/0.76 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/0.76 inference('cnf', [status(esa)], [associativity])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl1, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/0.76 thf(zip_derived_cl134, plain,
% 1.34/0.76 ((((identity) = (multiply @ sk_c6 @ sk_c7))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6))
% 1.34/0.76 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl130, zip_derived_cl2, zip_derived_cl0,
% 1.34/0.76 zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl135, plain,
% 1.34/0.76 ((((inverse @ sk_c1) = (sk_c6))
% 1.34/0.76 | ((identity) = (multiply @ sk_c6 @ sk_c7)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 1.34/0.76 thf(zip_derived_cl96, plain,
% 1.34/0.76 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 1.34/0.76 thf(zip_derived_cl296, plain,
% 1.34/0.76 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.34/0.76 | ((identity) = (multiply @ sk_c6 @ sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl96])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl311, plain, (((inverse @ identity) = (identity))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl558, plain, (((identity) = (sk_c6))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl552])).
% 1.34/0.76 thf(zip_derived_cl0, plain,
% 1.34/0.76 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/0.76 inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.76 thf(zip_derived_cl607, plain,
% 1.34/0.76 ((((sk_c1) = (identity)) | ((identity) = (sk_c7)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl296, zip_derived_cl558, zip_derived_cl311,
% 1.34/0.76 zip_derived_cl0, zip_derived_cl558, zip_derived_cl0])).
% 1.34/0.76 thf(zip_derived_cl1943, plain,
% 1.34/0.76 ((((sk_c7) = (identity))
% 1.34/0.76 | ((identity) = (sk_c7))
% 1.34/0.76 | ((identity) = (sk_c7)))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl1941, zip_derived_cl607])).
% 1.34/0.76 thf(zip_derived_cl1955, plain, (((sk_c7) = (identity))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl1943])).
% 1.34/0.76 thf(zip_derived_cl1990, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 (((identity) != (identity))
% 1.34/0.76 | ((inverse @ X2) != (identity))
% 1.34/0.76 | ((X2) != (identity))
% 1.34/0.76 | ((X1) != (identity))
% 1.34/0.76 | ((inverse @ X1) != (identity))
% 1.34/0.76 | ((X0) != (identity))
% 1.34/0.76 | ((inverse @ X0) != (identity)))),
% 1.34/0.76 inference('demod', [status(thm)],
% 1.34/0.76 [zip_derived_cl1042, zip_derived_cl1955])).
% 1.34/0.76 thf(zip_derived_cl1991, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.76 (((inverse @ X0) != (identity))
% 1.34/0.76 | ((X0) != (identity))
% 1.34/0.76 | ((inverse @ X1) != (identity))
% 1.34/0.76 | ((X1) != (identity))
% 1.34/0.76 | ((X2) != (identity))
% 1.34/0.76 | ((inverse @ X2) != (identity)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl1990])).
% 1.34/0.76 thf(zip_derived_cl2051, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 (((inverse @ X0) != (identity))
% 1.34/0.76 | ((X0) != (identity))
% 1.34/0.76 | ((X1) != (identity))
% 1.34/0.76 | ((inverse @ X1) != (identity))
% 1.34/0.76 | ((inverse @ identity) != (identity)))),
% 1.34/0.76 inference('eq_res', [status(thm)], [zip_derived_cl1991])).
% 1.34/0.76 thf(zip_derived_cl311, plain, (((inverse @ identity) = (identity))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl2052, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 (((inverse @ X0) != (identity))
% 1.34/0.76 | ((X0) != (identity))
% 1.34/0.76 | ((X1) != (identity))
% 1.34/0.76 | ((inverse @ X1) != (identity))
% 1.34/0.76 | ((identity) != (identity)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl2051, zip_derived_cl311])).
% 1.34/0.76 thf(zip_derived_cl2053, plain,
% 1.34/0.76 (![X0 : $i, X1 : $i]:
% 1.34/0.76 (((inverse @ X1) != (identity))
% 1.34/0.76 | ((X1) != (identity))
% 1.34/0.76 | ((X0) != (identity))
% 1.34/0.76 | ((inverse @ X0) != (identity)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl2052])).
% 1.34/0.76 thf(zip_derived_cl2054, plain,
% 1.34/0.76 (![X0 : $i]:
% 1.34/0.76 (((inverse @ X0) != (identity))
% 1.34/0.76 | ((X0) != (identity))
% 1.34/0.76 | ((inverse @ identity) != (identity)))),
% 1.34/0.76 inference('eq_res', [status(thm)], [zip_derived_cl2053])).
% 1.34/0.76 thf(zip_derived_cl311, plain, (((inverse @ identity) = (identity))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl2055, plain,
% 1.34/0.76 (![X0 : $i]:
% 1.34/0.76 (((inverse @ X0) != (identity))
% 1.34/0.76 | ((X0) != (identity))
% 1.34/0.76 | ((identity) != (identity)))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl2054, zip_derived_cl311])).
% 1.34/0.76 thf(zip_derived_cl2056, plain,
% 1.34/0.76 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl2055])).
% 1.34/0.76 thf(zip_derived_cl2057, plain, (((inverse @ identity) != (identity))),
% 1.34/0.76 inference('eq_res', [status(thm)], [zip_derived_cl2056])).
% 1.34/0.76 thf(zip_derived_cl311, plain, (((inverse @ identity) = (identity))),
% 1.34/0.76 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl1])).
% 1.34/0.76 thf(zip_derived_cl2058, plain, (((identity) != (identity))),
% 1.34/0.76 inference('demod', [status(thm)], [zip_derived_cl2057, zip_derived_cl311])).
% 1.34/0.76 thf(zip_derived_cl2059, plain, ($false),
% 1.34/0.76 inference('simplify', [status(thm)], [zip_derived_cl2058])).
% 1.34/0.76
% 1.34/0.76 % SZS output end Refutation
% 1.34/0.76
% 1.34/0.76
% 1.34/0.76 % Terminating...
% 1.43/0.83 % Runner terminated.
% 1.43/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------