TSTP Solution File: GRP287-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP287-1 : 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.pw9bJ8aVhO true
% Computer : n016.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 01:51:03 EDT 2023
% Result : Unsatisfiable 0.53s 0.85s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pw9bJ8aVhO true
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 03:09:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.85 % Solved by fo/fo7.sh.
% 0.53/0.85 % done 172 iterations in 0.065s
% 0.53/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.85 % SZS output start Refutation
% 0.53/0.85 thf(sk_c2_type, type, sk_c2: $i).
% 0.53/0.85 thf(sk_c5_type, type, sk_c5: $i).
% 0.53/0.85 thf(sk_c1_type, type, sk_c1: $i).
% 0.53/0.85 thf(sk_c4_type, type, sk_c4: $i).
% 0.53/0.85 thf(identity_type, type, identity: $i).
% 0.53/0.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.53/0.85 thf(sk_c6_type, type, sk_c6: $i).
% 0.53/0.85 thf(inverse_type, type, inverse: $i > $i).
% 0.53/0.85 thf(sk_c3_type, type, sk_c3: $i).
% 0.53/0.85 thf(sk_c7_type, type, sk_c7: $i).
% 0.53/0.85 thf(prove_this_26, conjecture,
% 0.53/0.85 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.53/0.85 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.53/0.85 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.53/0.85 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.53/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.85 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( inverse @ X2 ) != ( sk_c6 ) ) | ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.53/0.85 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.53/0.85 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.53/0.85 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.53/0.85 thf(zip_derived_cl28, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.53/0.85 | ((inverse @ X0) != (sk_c6))
% 0.53/0.85 | ((inverse @ X1) != (sk_c6))
% 0.53/0.85 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.53/0.85 | ((inverse @ X2) != (sk_c6))
% 0.53/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 0.53/0.85 | ((inverse @ X3) != (sk_c7))
% 0.53/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.85 thf(zip_derived_cl29, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.53/0.85 | ((inverse @ X0) != (sk_c6))
% 0.53/0.85 | ((inverse @ X1) != (sk_c6))
% 0.53/0.85 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.53/0.85 | ((inverse @ X2) != (sk_c6))
% 0.53/0.85 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c7 @ sk_c6))
% 0.53/0.85 | ((inverse @ X3) != (sk_c7))
% 0.53/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.53/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 0.53/0.85 thf(prove_this_13, conjecture,
% 0.53/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.53/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.53/0.85 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.53/0.85 thf(zip_derived_cl15, plain,
% 0.53/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.85 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl37, plain,
% 0.53/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(associativity, axiom,
% 0.53/0.85 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.53/0.85 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.53/0.85 thf(zip_derived_cl2, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.53/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.53/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.53/0.85 thf(zip_derived_cl51, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((multiply @ identity @ X0)
% 0.53/0.85 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.53/0.85 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl86, plain,
% 0.53/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl69])).
% 0.53/0.85 thf(prove_this_8, conjecture,
% 0.53/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.53/0.85 thf(zf_stmt_2, negated_conjecture,
% 0.53/0.85 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.53/0.85 thf(zip_derived_cl10, plain,
% 0.53/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.85 thf(zip_derived_cl155, plain,
% 0.53/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.53/0.85 = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl10])).
% 0.53/0.85 thf(zip_derived_cl2, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.53/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.53/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl169, plain,
% 0.53/0.85 ((((identity) = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl155, zip_derived_cl2, zip_derived_cl0,
% 0.53/0.85 zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl170, plain,
% 0.53/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl169])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl197, plain,
% 0.53/0.85 ((((multiply @ sk_c6 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl296, plain,
% 0.53/0.85 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.53/0.85 | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl83, plain,
% 0.53/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl80, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl578, plain,
% 0.53/0.85 ((((sk_c3) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl296, zip_derived_cl520])).
% 0.53/0.85 thf(prove_this_12, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.53/0.85 thf(zf_stmt_3, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.53/0.85 thf(zip_derived_cl14, plain,
% 0.53/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl42, plain,
% 0.53/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.53/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl150, plain,
% 0.53/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.53/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl69])).
% 0.53/0.85 thf(prove_this_7, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.53/0.85 thf(zf_stmt_4, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.53/0.85 thf(zip_derived_cl9, plain,
% 0.53/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.53/0.85 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.53/0.85 thf(zip_derived_cl462, plain,
% 0.53/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.53/0.85 = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.53/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl9])).
% 0.53/0.85 thf(zip_derived_cl2, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.53/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.53/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl477, plain,
% 0.53/0.85 ((((identity) = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.53/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl462, zip_derived_cl2, zip_derived_cl0,
% 0.53/0.85 zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl478, plain,
% 0.53/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl477])).
% 0.53/0.85 thf(zip_derived_cl655, plain,
% 0.53/0.85 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 0.53/0.85 | ((identity) = (sk_c6))
% 0.53/0.85 | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl578, zip_derived_cl478])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl659, plain,
% 0.53/0.85 ((((identity) = (sk_c7))
% 0.53/0.85 | ((identity) = (sk_c6))
% 0.53/0.85 | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl655, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl660, plain,
% 0.53/0.85 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 0.53/0.85 thf(prove_this_14, conjecture,
% 0.53/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.53/0.85 thf(zf_stmt_5, negated_conjecture,
% 0.53/0.85 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.53/0.85 thf(zip_derived_cl16, plain,
% 0.53/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl38, plain,
% 0.53/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.53/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl87, plain,
% 0.53/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.53/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl69])).
% 0.53/0.85 thf(prove_this_9, conjecture,
% 0.53/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.53/0.85 thf(zf_stmt_6, negated_conjecture,
% 0.53/0.85 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.53/0.85 thf(zip_derived_cl11, plain,
% 0.53/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.53/0.85 thf(zip_derived_cl178, plain,
% 0.53/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.53/0.85 = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c4) = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl11])).
% 0.53/0.85 thf(zip_derived_cl2, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.53/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.53/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl192, plain,
% 0.53/0.85 ((((identity) = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c4) = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl178, zip_derived_cl2, zip_derived_cl0,
% 0.53/0.85 zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl193, plain,
% 0.53/0.85 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl192])).
% 0.53/0.85 thf(prove_this_15, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.53/0.85 thf(zf_stmt_7, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.53/0.85 thf(zip_derived_cl17, plain,
% 0.53/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl43, plain,
% 0.53/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.53/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl358, plain,
% 0.53/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.53/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl69])).
% 0.53/0.85 thf(prove_this_10, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.53/0.85 thf(zf_stmt_8, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.53/0.85 thf(zip_derived_cl12, plain,
% 0.53/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.53/0.85 thf(zip_derived_cl367, plain,
% 0.53/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.53/0.85 = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl358, zip_derived_cl12])).
% 0.53/0.85 thf(zip_derived_cl2, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.53/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.53/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl382, plain,
% 0.53/0.85 ((((identity) = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl367, zip_derived_cl2, zip_derived_cl0,
% 0.53/0.85 zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl383, plain,
% 0.53/0.85 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl382])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl396, plain,
% 0.53/0.85 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 0.53/0.85 | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl440, plain,
% 0.53/0.85 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.53/0.85 | ((identity) = (sk_c6))
% 0.53/0.85 | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl396])).
% 0.53/0.85 thf(zip_derived_cl445, plain,
% 0.53/0.85 ((((identity) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl440])).
% 0.53/0.85 thf(prove_this_11, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.53/0.85 thf(zf_stmt_9, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.53/0.85 thf(zip_derived_cl13, plain,
% 0.53/0.85 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl36, plain,
% 0.53/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl85, plain,
% 0.53/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl69])).
% 0.53/0.85 thf(prove_this_6, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.53/0.85 thf(zf_stmt_10, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.53/0.85 thf(zip_derived_cl8, plain,
% 0.53/0.85 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.53/0.85 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.53/0.85 thf(zip_derived_cl117, plain,
% 0.53/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.53/0.85 = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl8])).
% 0.53/0.85 thf(zip_derived_cl2, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.53/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.53/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl128, plain,
% 0.53/0.85 ((((identity) = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl117, zip_derived_cl2, zip_derived_cl0,
% 0.53/0.85 zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl129, plain,
% 0.53/0.85 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 0.53/0.85 thf(zip_derived_cl450, plain,
% 0.53/0.85 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.53/0.85 | ((identity) = (sk_c6))
% 0.53/0.85 | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl129])).
% 0.53/0.85 thf(zip_derived_cl456, plain,
% 0.53/0.85 ((((identity) = (sk_c6))
% 0.53/0.85 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl450])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl541, plain,
% 0.53/0.85 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 0.53/0.85 | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl456, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl543, plain,
% 0.53/0.85 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl541, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl563, plain,
% 0.53/0.85 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 0.53/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl543])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl688, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (((multiply @ X0 @ sk_c7) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((X1) != (sk_c7))
% 0.53/0.85 | ((sk_c7) != (sk_c5))
% 0.53/0.85 | ((inverse @ X2) != (identity))
% 0.53/0.85 | ((X2) != (sk_c7))
% 0.53/0.85 | ((inverse @ X3) != (sk_c7))
% 0.53/0.85 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.53/0.85 | ((sk_c7) != (sk_c5)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl29, zip_derived_cl661, zip_derived_cl520,
% 0.53/0.85 zip_derived_cl661, zip_derived_cl661, zip_derived_cl661,
% 0.53/0.85 zip_derived_cl661, zip_derived_cl520, zip_derived_cl661,
% 0.53/0.85 zip_derived_cl0, zip_derived_cl661, zip_derived_cl661,
% 0.53/0.85 zip_derived_cl520, zip_derived_cl661, zip_derived_cl520,
% 0.53/0.85 zip_derived_cl661, zip_derived_cl661, zip_derived_cl520])).
% 0.53/0.85 thf(zip_derived_cl689, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (((multiply @ X3 @ sk_c7) != (identity))
% 0.53/0.85 | ((inverse @ X3) != (sk_c7))
% 0.53/0.85 | ((X2) != (sk_c7))
% 0.53/0.85 | ((inverse @ X2) != (identity))
% 0.53/0.85 | ((sk_c7) != (sk_c5))
% 0.53/0.85 | ((X1) != (sk_c7))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl688])).
% 0.53/0.85 thf(prove_this_1, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.53/0.85 thf(zf_stmt_11, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.53/0.85 thf(zip_derived_cl3, plain,
% 0.53/0.85 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.53/0.85 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl662, plain, ((((sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c5)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl3, zip_derived_cl661, zip_derived_cl0,
% 0.53/0.85 zip_derived_cl661, zip_derived_cl520])).
% 0.53/0.85 thf(zip_derived_cl663, plain, (((sk_c7) = (sk_c5))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl662])).
% 0.53/0.85 thf(zip_derived_cl713, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (((multiply @ X3 @ sk_c7) != (identity))
% 0.53/0.85 | ((inverse @ X3) != (sk_c7))
% 0.53/0.85 | ((X2) != (sk_c7))
% 0.53/0.85 | ((inverse @ X2) != (identity))
% 0.53/0.85 | ((sk_c7) != (sk_c7))
% 0.53/0.85 | ((X1) != (sk_c7))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl689, zip_derived_cl663])).
% 0.53/0.85 thf(zip_derived_cl714, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (((multiply @ X0 @ sk_c7) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((X1) != (sk_c7))
% 0.53/0.85 | ((inverse @ X2) != (identity))
% 0.53/0.85 | ((X2) != (sk_c7))
% 0.53/0.85 | ((inverse @ X3) != (sk_c7))
% 0.53/0.85 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl713])).
% 0.53/0.85 thf(zip_derived_cl740, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 (((multiply @ X0 @ sk_c7) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (sk_c7))
% 0.53/0.85 | ((X1) != (sk_c7))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((inverse @ sk_c7) != (identity))
% 0.53/0.85 | ((inverse @ X2) != (identity))
% 0.53/0.85 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.53/0.85 inference('eq_res', [status(thm)], [zip_derived_cl714])).
% 0.53/0.85 thf(prove_this_22, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.53/0.85 thf(zf_stmt_12, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.53/0.85 thf(zip_derived_cl24, plain,
% 0.53/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl684, plain,
% 0.53/0.85 ((((sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (identity)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl24, zip_derived_cl661, zip_derived_cl520,
% 0.53/0.85 zip_derived_cl661])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl83, plain,
% 0.53/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl589, plain,
% 0.53/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl520, zip_derived_cl83])).
% 0.53/0.85 thf(zip_derived_cl783, plain,
% 0.53/0.85 ((((sk_c2) = (inverse @ identity)) | ((sk_c3) = (sk_c7)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl684, zip_derived_cl589])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl82, plain,
% 0.53/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl115, plain,
% 0.53/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl69])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl507, plain, (((inverse @ identity) = (identity))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl793, plain,
% 0.53/0.85 ((((sk_c2) = (identity)) | ((sk_c3) = (sk_c7)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl507])).
% 0.53/0.85 thf(prove_this_17, conjecture,
% 0.53/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.53/0.85 thf(zf_stmt_13, negated_conjecture,
% 0.53/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.53/0.85 thf(zip_derived_cl19, plain,
% 0.53/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.53/0.85 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl679, plain, ((((sk_c3) = (sk_c7)) | ((sk_c2) = (sk_c5)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl19, zip_derived_cl661, zip_derived_cl520,
% 0.53/0.85 zip_derived_cl661, zip_derived_cl520])).
% 0.53/0.85 thf(zip_derived_cl663, plain, (((sk_c7) = (sk_c5))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl662])).
% 0.53/0.85 thf(zip_derived_cl719, plain, ((((sk_c3) = (sk_c7)) | ((sk_c2) = (sk_c7)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl679, zip_derived_cl663])).
% 0.53/0.85 thf(zip_derived_cl795, plain,
% 0.53/0.85 ((((identity) = (sk_c7)) | ((sk_c3) = (sk_c7)) | ((sk_c3) = (sk_c7)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl793, zip_derived_cl719])).
% 0.53/0.85 thf(zip_derived_cl800, plain,
% 0.53/0.85 ((((sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl795])).
% 0.53/0.85 thf(prove_this_23, conjecture,
% 0.53/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.53/0.85 thf(zf_stmt_14, negated_conjecture,
% 0.53/0.85 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.53/0.85 thf(zip_derived_cl25, plain,
% 0.53/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl40, plain,
% 0.53/0.85 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl69, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl91, plain,
% 0.53/0.85 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl69])).
% 0.53/0.85 thf(prove_this_18, conjecture,
% 0.53/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.53/0.85 thf(zf_stmt_15, negated_conjecture,
% 0.53/0.85 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.53/0.85 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.53/0.85 thf(zip_derived_cl20, plain,
% 0.53/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.53/0.85 thf(zip_derived_cl249, plain,
% 0.53/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.53/0.85 = (sk_c5))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl20])).
% 0.53/0.85 thf(zip_derived_cl2, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.53/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.53/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl262, plain,
% 0.53/0.85 ((((identity) = (sk_c5))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6))
% 0.53/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl249, zip_derived_cl2, zip_derived_cl0,
% 0.53/0.85 zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl263, plain,
% 0.53/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 0.53/0.85 thf(zip_derived_cl1, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.53/0.85 thf(zip_derived_cl268, plain,
% 0.53/0.85 ((((multiply @ sk_c6 @ sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl263, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl661, plain, (((identity) = (sk_c6))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl563])).
% 0.53/0.85 thf(zip_derived_cl0, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.85 thf(zip_derived_cl707, plain,
% 0.53/0.85 ((((sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl268, zip_derived_cl661, zip_derived_cl0])).
% 0.53/0.85 thf(zip_derived_cl663, plain, (((sk_c7) = (sk_c5))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl662])).
% 0.53/0.85 thf(zip_derived_cl728, plain,
% 0.53/0.85 ((((sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl663])).
% 0.53/0.85 thf(zip_derived_cl808, plain,
% 0.53/0.85 ((((sk_c7) = (identity))
% 0.53/0.85 | ((identity) = (sk_c7))
% 0.53/0.85 | ((identity) = (sk_c7)))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl800, zip_derived_cl728])).
% 0.53/0.85 thf(zip_derived_cl809, plain, (((sk_c7) = (identity))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl808])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl809, plain, (((sk_c7) = (identity))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl808])).
% 0.53/0.85 thf(zip_derived_cl809, plain, (((sk_c7) = (identity))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl808])).
% 0.53/0.85 thf(zip_derived_cl809, plain, (((sk_c7) = (identity))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl808])).
% 0.53/0.85 thf(zip_derived_cl507, plain, (((inverse @ identity) = (identity))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl809, plain, (((sk_c7) = (identity))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl808])).
% 0.53/0.85 thf(zip_derived_cl520, plain,
% 0.53/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.53/0.85 thf(zip_derived_cl819, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 (((X0) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((X1) != (identity))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((identity) != (identity))
% 0.53/0.85 | ((inverse @ X2) != (identity))
% 0.53/0.85 | ((X2) != (identity)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl740, zip_derived_cl809, zip_derived_cl520,
% 0.53/0.85 zip_derived_cl809, zip_derived_cl809, zip_derived_cl809,
% 0.53/0.85 zip_derived_cl507, zip_derived_cl809, zip_derived_cl520])).
% 0.53/0.85 thf(zip_derived_cl820, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 (((X2) != (identity))
% 0.53/0.85 | ((inverse @ X2) != (identity))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((X1) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((X0) != (identity)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl819])).
% 0.53/0.85 thf(zip_derived_cl825, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (((X0) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((X1) != (identity))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((inverse @ identity) != (identity)))),
% 0.53/0.85 inference('eq_res', [status(thm)], [zip_derived_cl820])).
% 0.53/0.85 thf(zip_derived_cl507, plain, (((inverse @ identity) = (identity))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl826, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (((X0) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((X1) != (identity))
% 0.53/0.85 | ((inverse @ X1) != (identity))
% 0.53/0.85 | ((identity) != (identity)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl825, zip_derived_cl507])).
% 0.53/0.85 thf(zip_derived_cl827, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (((inverse @ X1) != (identity))
% 0.53/0.85 | ((X1) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((X0) != (identity)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl826])).
% 0.53/0.85 thf(zip_derived_cl828, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (((X0) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((inverse @ identity) != (identity)))),
% 0.53/0.85 inference('eq_res', [status(thm)], [zip_derived_cl827])).
% 0.53/0.85 thf(zip_derived_cl507, plain, (((inverse @ identity) = (identity))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl829, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (((X0) != (identity))
% 0.53/0.85 | ((inverse @ X0) != (identity))
% 0.53/0.85 | ((identity) != (identity)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl828, zip_derived_cl507])).
% 0.53/0.85 thf(zip_derived_cl830, plain,
% 0.53/0.85 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl829])).
% 0.53/0.85 thf(zip_derived_cl831, plain, (((inverse @ identity) != (identity))),
% 0.53/0.85 inference('eq_res', [status(thm)], [zip_derived_cl830])).
% 0.53/0.85 thf(zip_derived_cl507, plain, (((inverse @ identity) = (identity))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.53/0.85 thf(zip_derived_cl832, plain, (((identity) != (identity))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl831, zip_derived_cl507])).
% 0.53/0.85 thf(zip_derived_cl833, plain, ($false),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl832])).
% 0.53/0.85
% 0.53/0.85 % SZS output end Refutation
% 0.53/0.85
% 0.53/0.85
% 0.53/0.85 % Terminating...
% 0.60/0.95 % Runner terminated.
% 0.60/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------