TSTP Solution File: GRP291-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP291-1 : 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.28pqNXgbCU true
% Computer : n001.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 01:51:04 EDT 2023
% Result : Unsatisfiable 1.38s 0.88s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP291-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.28pqNXgbCU true
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:17:36 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Running portfolio for 300 s
% 0.19/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.88 % Solved by fo/fo7.sh.
% 1.38/0.88 % done 290 iterations in 0.105s
% 1.38/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.88 % SZS output start Refutation
% 1.38/0.88 thf(sk_c2_type, type, sk_c2: $i).
% 1.38/0.88 thf(sk_c5_type, type, sk_c5: $i).
% 1.38/0.88 thf(sk_c1_type, type, sk_c1: $i).
% 1.38/0.88 thf(sk_c4_type, type, sk_c4: $i).
% 1.38/0.88 thf(identity_type, type, identity: $i).
% 1.38/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.38/0.88 thf(sk_c6_type, type, sk_c6: $i).
% 1.38/0.88 thf(inverse_type, type, inverse: $i > $i).
% 1.38/0.88 thf(sk_c3_type, type, sk_c3: $i).
% 1.38/0.88 thf(sk_c7_type, type, sk_c7: $i).
% 1.38/0.88 thf(prove_this_26, conjecture,
% 1.38/0.88 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.38/0.88 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.38/0.88 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.38/0.88 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 1.38/0.88 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.38/0.88 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.38/0.88 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 1.38/0.88 thf(zf_stmt_0, negated_conjecture,
% 1.38/0.88 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.38/0.88 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.38/0.88 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.38/0.88 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 1.38/0.88 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.38/0.88 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.38/0.88 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.38/0.88 thf(zip_derived_cl28, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.88 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 1.38/0.88 | ((inverse @ X0) != (sk_c6))
% 1.38/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.38/0.88 | ((inverse @ X1) != (sk_c7))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.38/0.88 | ((inverse @ X2) != (sk_c5))
% 1.38/0.88 | ((multiply @ X2 @ sk_c5) != (sk_c7))
% 1.38/0.88 | ((inverse @ X3) != (sk_c7))
% 1.38/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.38/0.88 thf(zip_derived_cl29, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.88 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 1.38/0.88 | ((inverse @ X0) != (sk_c6))
% 1.38/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.38/0.88 | ((inverse @ X1) != (sk_c7))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.38/0.88 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c6))
% 1.38/0.88 | ((multiply @ X2 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c7))
% 1.38/0.88 | ((inverse @ X3) != (sk_c7))
% 1.38/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 1.38/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 1.38/0.88 thf(prove_this_22, conjecture,
% 1.38/0.88 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 1.38/0.88 thf(zf_stmt_1, negated_conjecture,
% 1.38/0.88 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.38/0.88 thf(zip_derived_cl24, plain,
% 1.38/0.88 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c5)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.38/0.88 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl40, plain,
% 1.38/0.88 ((((multiply @ sk_c5 @ sk_c2) = (identity))
% 1.38/0.88 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(associativity, axiom,
% 1.38/0.88 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.38/0.88 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.38/0.88 thf(zip_derived_cl2, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.38/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.38/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.38/0.88 thf(zip_derived_cl57, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((multiply @ identity @ X0)
% 1.38/0.88 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.38/0.88 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl97, plain,
% 1.38/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.38/0.88 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl75])).
% 1.38/0.88 thf(prove_this_17, conjecture,
% 1.38/0.88 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.38/0.88 thf(zf_stmt_2, negated_conjecture,
% 1.38/0.88 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.38/0.88 thf(zip_derived_cl19, plain,
% 1.38/0.88 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.38/0.88 thf(zip_derived_cl194, plain,
% 1.38/0.88 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 1.38/0.88 = (sk_c7))
% 1.38/0.88 | ((inverse @ sk_c3) = (sk_c7))
% 1.38/0.88 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl19])).
% 1.38/0.88 thf(zip_derived_cl2, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.38/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.38/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl207, plain,
% 1.38/0.88 ((((identity) = (sk_c7))
% 1.38/0.88 | ((inverse @ sk_c3) = (sk_c7))
% 1.38/0.88 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl194, zip_derived_cl2, zip_derived_cl0,
% 1.38/0.88 zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl208, plain,
% 1.38/0.88 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl207])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl239, plain,
% 1.38/0.88 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl321, plain,
% 1.38/0.88 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.38/0.88 | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl89, plain,
% 1.38/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl86, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl673, plain,
% 1.38/0.88 ((((sk_c3) = (inverse @ sk_c7)) | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl321, zip_derived_cl643])).
% 1.38/0.88 thf(prove_this_14, conjecture,
% 1.38/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.38/0.88 thf(zf_stmt_3, negated_conjecture,
% 1.38/0.88 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.38/0.88 thf(zip_derived_cl16, plain,
% 1.38/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl38, plain,
% 1.38/0.88 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl94, plain,
% 1.38/0.88 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl75])).
% 1.38/0.88 thf(prove_this_9, conjecture,
% 1.38/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.38/0.88 thf(zf_stmt_4, negated_conjecture,
% 1.38/0.88 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.38/0.88 thf(zip_derived_cl11, plain,
% 1.38/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.38/0.88 thf(zip_derived_cl175, plain,
% 1.38/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.38/0.88 = (sk_c6))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl11])).
% 1.38/0.88 thf(zip_derived_cl2, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.38/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.38/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl188, plain,
% 1.38/0.88 ((((identity) = (sk_c6))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl175, zip_derived_cl2, zip_derived_cl0,
% 1.38/0.88 zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl189, plain,
% 1.38/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl188])).
% 1.38/0.88 thf(prove_this_15, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.38/0.88 thf(zf_stmt_5, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.38/0.88 thf(zip_derived_cl17, plain,
% 1.38/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl43, plain,
% 1.38/0.88 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl366, plain,
% 1.38/0.88 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl75])).
% 1.38/0.88 thf(prove_this_10, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.38/0.88 thf(zf_stmt_6, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.38/0.88 thf(zip_derived_cl12, plain,
% 1.38/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.38/0.88 thf(zip_derived_cl375, plain,
% 1.38/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.38/0.88 = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl12])).
% 1.38/0.88 thf(zip_derived_cl2, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.38/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.38/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl390, plain,
% 1.38/0.88 ((((identity) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl375, zip_derived_cl2, zip_derived_cl0,
% 1.38/0.88 zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl391, plain,
% 1.38/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl390])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl395, plain,
% 1.38/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 1.38/0.88 | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl407, plain,
% 1.38/0.88 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.38/0.88 | ((identity) = (sk_c6))
% 1.38/0.88 | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl395])).
% 1.38/0.88 thf(zip_derived_cl412, plain,
% 1.38/0.88 ((((identity) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl407])).
% 1.38/0.88 thf(prove_this_11, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.38/0.88 thf(zf_stmt_7, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.38/0.88 thf(zip_derived_cl13, plain,
% 1.38/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl36, plain,
% 1.38/0.88 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl92, plain,
% 1.38/0.88 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl75])).
% 1.38/0.88 thf(prove_this_6, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.38/0.88 thf(zf_stmt_8, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.38/0.88 thf(zip_derived_cl8, plain,
% 1.38/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.38/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.38/0.88 thf(zip_derived_cl130, plain,
% 1.38/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.38/0.88 = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl8])).
% 1.38/0.88 thf(zip_derived_cl2, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.38/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.38/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl141, plain,
% 1.38/0.88 ((((identity) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl130, zip_derived_cl2, zip_derived_cl0,
% 1.38/0.88 zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl142, plain,
% 1.38/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 1.38/0.88 thf(zip_derived_cl425, plain,
% 1.38/0.88 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 1.38/0.88 | ((identity) = (sk_c6))
% 1.38/0.88 | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl412, zip_derived_cl142])).
% 1.38/0.88 thf(zip_derived_cl427, plain,
% 1.38/0.88 ((((identity) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl425])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl468, plain,
% 1.38/0.88 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 1.38/0.88 | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl473, plain,
% 1.38/0.88 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl468, zip_derived_cl75])).
% 1.38/0.88 thf(prove_this_13, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.38/0.88 thf(zf_stmt_9, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.38/0.88 thf(zip_derived_cl15, plain,
% 1.38/0.88 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl89, plain,
% 1.38/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl690, plain,
% 1.38/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl643, zip_derived_cl89])).
% 1.38/0.88 thf(zip_derived_cl709, plain,
% 1.38/0.88 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl690])).
% 1.38/0.88 thf(prove_this_8, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.38/0.88 thf(zf_stmt_10, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.38/0.88 thf(zip_derived_cl10, plain,
% 1.38/0.88 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.38/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.38/0.88 thf(zip_derived_cl1156, plain,
% 1.38/0.88 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.38/0.88 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl709, zip_derived_cl10])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl1172, plain,
% 1.38/0.88 ((((identity) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.38/0.88 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl1156, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1173, plain,
% 1.38/0.88 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1172])).
% 1.38/0.88 thf(zip_derived_cl1272, plain,
% 1.38/0.88 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 1.38/0.88 | ((identity) = (sk_c6))
% 1.38/0.88 | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl473, zip_derived_cl1173])).
% 1.38/0.88 thf(zip_derived_cl1276, plain,
% 1.38/0.88 ((((identity) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c7)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1272])).
% 1.38/0.88 thf(zip_derived_cl1362, plain,
% 1.38/0.88 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 1.38/0.88 | ((identity) = (sk_c7))
% 1.38/0.88 | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl1276])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl1365, plain,
% 1.38/0.88 ((((identity) = (sk_c7))
% 1.38/0.88 | ((identity) = (sk_c7))
% 1.38/0.88 | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl1362, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1366, plain,
% 1.38/0.88 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1365])).
% 1.38/0.88 thf(zip_derived_cl473, plain,
% 1.38/0.88 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl468, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl482, plain,
% 1.38/0.88 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 1.38/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl473])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1395, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.88 (((multiply @ X0 @ sk_c7) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((X1) != (sk_c7))
% 1.38/0.88 | ((inverse @ X1) != (sk_c7))
% 1.38/0.88 | ((sk_c7) != (sk_c5))
% 1.38/0.88 | ((inverse @ X2) != (sk_c7))
% 1.38/0.88 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 1.38/0.88 | ((inverse @ X3) != (sk_c7))
% 1.38/0.88 | ((multiply @ X3 @ sk_c7) != (identity))
% 1.38/0.88 | ((sk_c7) != (sk_c5)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl29, zip_derived_cl1371, zip_derived_cl643,
% 1.38/0.88 zip_derived_cl1371, zip_derived_cl1371, zip_derived_cl1371,
% 1.38/0.88 zip_derived_cl643, zip_derived_cl1371, zip_derived_cl0,
% 1.38/0.88 zip_derived_cl1371, zip_derived_cl643, zip_derived_cl1371,
% 1.38/0.88 zip_derived_cl643, zip_derived_cl1371, zip_derived_cl1371,
% 1.38/0.88 zip_derived_cl643])).
% 1.38/0.88 thf(zip_derived_cl1396, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.88 (((multiply @ X3 @ sk_c7) != (identity))
% 1.38/0.88 | ((inverse @ X3) != (sk_c7))
% 1.38/0.88 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 1.38/0.88 | ((inverse @ X2) != (sk_c7))
% 1.38/0.88 | ((sk_c7) != (sk_c5))
% 1.38/0.88 | ((inverse @ X1) != (sk_c7))
% 1.38/0.88 | ((X1) != (sk_c7))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1395])).
% 1.38/0.88 thf(prove_this_1, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.38/0.88 thf(zf_stmt_11, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.38/0.88 thf(zip_derived_cl3, plain,
% 1.38/0.88 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.38/0.88 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1372, plain, ((((sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c5)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl3, zip_derived_cl1371, zip_derived_cl0,
% 1.38/0.88 zip_derived_cl1371, zip_derived_cl643])).
% 1.38/0.88 thf(zip_derived_cl1373, plain, (((sk_c7) = (sk_c5))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1372])).
% 1.38/0.88 thf(zip_derived_cl1434, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.88 (((multiply @ X3 @ sk_c7) != (identity))
% 1.38/0.88 | ((inverse @ X3) != (sk_c7))
% 1.38/0.88 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 1.38/0.88 | ((inverse @ X2) != (sk_c7))
% 1.38/0.88 | ((sk_c7) != (sk_c7))
% 1.38/0.88 | ((inverse @ X1) != (sk_c7))
% 1.38/0.88 | ((X1) != (sk_c7))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl1396, zip_derived_cl1373])).
% 1.38/0.88 thf(zip_derived_cl1435, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.88 (((multiply @ X0 @ sk_c7) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((X1) != (sk_c7))
% 1.38/0.88 | ((inverse @ X1) != (sk_c7))
% 1.38/0.88 | ((inverse @ X2) != (sk_c7))
% 1.38/0.88 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 1.38/0.88 | ((inverse @ X3) != (sk_c7))
% 1.38/0.88 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1434])).
% 1.38/0.88 thf(zip_derived_cl1475, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 (((multiply @ X0 @ sk_c7) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (sk_c7))
% 1.38/0.88 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 1.38/0.88 | ((inverse @ X1) != (sk_c7))
% 1.38/0.88 | ((inverse @ sk_c7) != (sk_c7))
% 1.38/0.88 | ((inverse @ X2) != (identity))
% 1.38/0.88 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 1.38/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1435])).
% 1.38/0.88 thf(prove_this_24, conjecture,
% 1.38/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 1.38/0.88 thf(zf_stmt_12, negated_conjecture,
% 1.38/0.88 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.38/0.88 thf(zip_derived_cl26, plain,
% 1.38/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c5)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl41, plain,
% 1.38/0.88 ((((multiply @ sk_c5 @ sk_c2) = (identity))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl98, plain,
% 1.38/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl75])).
% 1.38/0.88 thf(prove_this_19, conjecture,
% 1.38/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.38/0.88 thf(zf_stmt_13, negated_conjecture,
% 1.38/0.88 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.38/0.88 thf(zip_derived_cl21, plain,
% 1.38/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.38/0.88 thf(zip_derived_cl217, plain,
% 1.38/0.88 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 1.38/0.88 = (sk_c7))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl21])).
% 1.38/0.88 thf(zip_derived_cl2, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.38/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.38/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl230, plain,
% 1.38/0.88 ((((identity) = (sk_c7))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6))
% 1.38/0.88 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl217, zip_derived_cl2, zip_derived_cl0,
% 1.38/0.88 zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl231, plain,
% 1.38/0.88 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl230])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl235, plain,
% 1.38/0.88 ((((multiply @ sk_c6 @ sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl295, plain,
% 1.38/0.88 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.38/0.88 | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl235, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl671, plain,
% 1.38/0.88 ((((sk_c4) = (inverse @ sk_c6)) | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl643])).
% 1.38/0.88 thf(prove_this_25, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) ) ))).
% 1.38/0.88 thf(zf_stmt_14, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( inverse @ sk_c2 ) = ( sk_c5 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.38/0.88 thf(zip_derived_cl27, plain,
% 1.38/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c5)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.38/0.88 thf(zip_derived_cl690, plain,
% 1.38/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl643, zip_derived_cl89])).
% 1.38/0.88 thf(zip_derived_cl716, plain,
% 1.38/0.88 ((((sk_c2) = (inverse @ sk_c5)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl690])).
% 1.38/0.88 thf(prove_this_20, conjecture,
% 1.38/0.88 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.38/0.88 thf(zf_stmt_15, negated_conjecture,
% 1.38/0.88 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.38/0.88 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c7 ) )),
% 1.38/0.88 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.38/0.88 thf(zip_derived_cl22, plain,
% 1.38/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c2 @ sk_c5) = (sk_c7)))),
% 1.38/0.88 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.38/0.88 thf(zip_derived_cl1193, plain,
% 1.38/0.88 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c7))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl716, zip_derived_cl22])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl1208, plain,
% 1.38/0.88 ((((identity) = (sk_c7))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.38/0.88 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl1193, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1209, plain,
% 1.38/0.88 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1208])).
% 1.38/0.88 thf(zip_derived_cl1342, plain,
% 1.38/0.88 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 1.38/0.88 | ((identity) = (sk_c7))
% 1.38/0.88 | ((identity) = (sk_c7)))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl671, zip_derived_cl1209])).
% 1.38/0.88 thf(zip_derived_cl1346, plain,
% 1.38/0.88 ((((identity) = (sk_c7))
% 1.38/0.88 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1342])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl88, plain,
% 1.38/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl75, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.38/0.88 thf(zip_derived_cl121, plain,
% 1.38/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl75])).
% 1.38/0.88 thf(zip_derived_cl1, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.38/0.88 thf(zip_derived_cl561, plain, (((inverse @ identity) = (identity))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1373, plain, (((sk_c7) = (sk_c5))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1372])).
% 1.38/0.88 thf(zip_derived_cl0, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.38/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.38/0.88 thf(zip_derived_cl1371, plain, (((identity) = (sk_c6))),
% 1.38/0.88 inference('clc', [status(thm)], [zip_derived_cl1366, zip_derived_cl482])).
% 1.38/0.88 thf(zip_derived_cl1692, plain,
% 1.38/0.88 ((((identity) = (sk_c7)) | ((sk_c7) = (identity)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl1346, zip_derived_cl1371, zip_derived_cl561,
% 1.38/0.88 zip_derived_cl1373, zip_derived_cl0, zip_derived_cl1371])).
% 1.38/0.88 thf(zip_derived_cl1693, plain, (((identity) = (sk_c7))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1693, plain, (((identity) = (sk_c7))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.38/0.88 thf(zip_derived_cl1693, plain, (((identity) = (sk_c7))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1693, plain, (((identity) = (sk_c7))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.38/0.88 thf(zip_derived_cl1693, plain, (((identity) = (sk_c7))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.38/0.88 thf(zip_derived_cl1693, plain, (((identity) = (sk_c7))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.38/0.88 thf(zip_derived_cl561, plain, (((inverse @ identity) = (identity))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1693, plain, (((identity) = (sk_c7))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.38/0.88 thf(zip_derived_cl1693, plain, (((identity) = (sk_c7))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.38/0.88 thf(zip_derived_cl643, plain,
% 1.38/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.38/0.88 thf(zip_derived_cl1709, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 (((X0) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((X1) != (identity))
% 1.38/0.88 | ((inverse @ X1) != (identity))
% 1.38/0.88 | ((identity) != (identity))
% 1.38/0.88 | ((inverse @ X2) != (identity))
% 1.38/0.88 | ((X2) != (identity)))),
% 1.38/0.88 inference('demod', [status(thm)],
% 1.38/0.88 [zip_derived_cl1475, zip_derived_cl1693, zip_derived_cl643,
% 1.38/0.88 zip_derived_cl1693, zip_derived_cl1693, zip_derived_cl643,
% 1.38/0.88 zip_derived_cl1693, zip_derived_cl1693, zip_derived_cl1693,
% 1.38/0.88 zip_derived_cl561, zip_derived_cl1693, zip_derived_cl1693,
% 1.38/0.88 zip_derived_cl643])).
% 1.38/0.88 thf(zip_derived_cl1710, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.88 (((X2) != (identity))
% 1.38/0.88 | ((inverse @ X2) != (identity))
% 1.38/0.88 | ((inverse @ X1) != (identity))
% 1.38/0.88 | ((X1) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((X0) != (identity)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1709])).
% 1.38/0.88 thf(zip_derived_cl1719, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 (((X0) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((X1) != (identity))
% 1.38/0.88 | ((inverse @ X1) != (identity))
% 1.38/0.88 | ((inverse @ identity) != (identity)))),
% 1.38/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1710])).
% 1.38/0.88 thf(zip_derived_cl561, plain, (((inverse @ identity) = (identity))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1720, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 (((X0) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((X1) != (identity))
% 1.38/0.88 | ((inverse @ X1) != (identity))
% 1.38/0.88 | ((identity) != (identity)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl1719, zip_derived_cl561])).
% 1.38/0.88 thf(zip_derived_cl1721, plain,
% 1.38/0.88 (![X0 : $i, X1 : $i]:
% 1.38/0.88 (((inverse @ X1) != (identity))
% 1.38/0.88 | ((X1) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((X0) != (identity)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1720])).
% 1.38/0.88 thf(zip_derived_cl1722, plain,
% 1.38/0.88 (![X0 : $i]:
% 1.38/0.88 (((X0) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((inverse @ identity) != (identity)))),
% 1.38/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1721])).
% 1.38/0.88 thf(zip_derived_cl561, plain, (((inverse @ identity) = (identity))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1723, plain,
% 1.38/0.88 (![X0 : $i]:
% 1.38/0.88 (((X0) != (identity))
% 1.38/0.88 | ((inverse @ X0) != (identity))
% 1.38/0.88 | ((identity) != (identity)))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl1722, zip_derived_cl561])).
% 1.38/0.88 thf(zip_derived_cl1724, plain,
% 1.38/0.88 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1723])).
% 1.38/0.88 thf(zip_derived_cl1725, plain, (((inverse @ identity) != (identity))),
% 1.38/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1724])).
% 1.38/0.88 thf(zip_derived_cl561, plain, (((inverse @ identity) = (identity))),
% 1.38/0.88 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.38/0.88 thf(zip_derived_cl1726, plain, (((identity) != (identity))),
% 1.38/0.88 inference('demod', [status(thm)], [zip_derived_cl1725, zip_derived_cl561])).
% 1.38/0.88 thf(zip_derived_cl1727, plain, ($false),
% 1.38/0.88 inference('simplify', [status(thm)], [zip_derived_cl1726])).
% 1.38/0.88
% 1.38/0.88 % SZS output end Refutation
% 1.38/0.88
% 1.38/0.88
% 1.38/0.88 % Terminating...
% 1.51/0.94 % Runner terminated.
% 1.63/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------