TSTP Solution File: GRP298-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K2qAF64g5g true
% Computer : n009.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 01:51:06 EDT 2023
% Result : Unsatisfiable 1.30s 0.90s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K2qAF64g5g true
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 29 00:41:50 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.55/0.61 % Total configuration time : 435
% 0.55/0.61 % Estimated wc time : 1092
% 0.55/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.76/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.76/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.76/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.76/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.90 % Solved by fo/fo7.sh.
% 1.30/0.90 % done 244 iterations in 0.160s
% 1.30/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.90 % SZS output start Refutation
% 1.30/0.90 thf(sk_c5_type, type, sk_c5: $i).
% 1.30/0.90 thf(sk_c6_type, type, sk_c6: $i).
% 1.30/0.90 thf(sk_c4_type, type, sk_c4: $i).
% 1.30/0.90 thf(sk_c3_type, type, sk_c3: $i).
% 1.30/0.90 thf(identity_type, type, identity: $i).
% 1.30/0.90 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.30/0.90 thf(sk_c7_type, type, sk_c7: $i).
% 1.30/0.90 thf(inverse_type, type, inverse: $i > $i).
% 1.30/0.90 thf(sk_c1_type, type, sk_c1: $i).
% 1.30/0.90 thf(sk_c8_type, type, sk_c8: $i).
% 1.30/0.90 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.30/0.90 thf(zip_derived_cl1, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.90 thf(prove_this_27, conjecture,
% 1.30/0.90 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.30/0.90 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.90 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.30/0.90 thf(zip_derived_cl29, plain,
% 1.30/0.90 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.90 thf(prove_this_4, conjecture,
% 1.30/0.90 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.30/0.90 thf(zf_stmt_1, negated_conjecture,
% 1.30/0.90 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.30/0.90 thf(zip_derived_cl6, plain,
% 1.30/0.90 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.90 thf(zip_derived_cl1, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.90 thf(zip_derived_cl39, plain,
% 1.30/0.90 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.30/0.90 thf(zip_derived_cl1, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.90 thf(associativity, axiom,
% 1.30/0.90 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.30/0.90 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.30/0.90 thf(zip_derived_cl2, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.90 thf(zip_derived_cl59, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((multiply @ identity @ X0)
% 1.30/0.90 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.30/0.90 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.30/0.90 thf(zip_derived_cl0, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.90 thf(zip_derived_cl74, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.30/0.90 thf(zip_derived_cl89, plain,
% 1.30/0.90 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl74])).
% 1.30/0.90 thf(zip_derived_cl1, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.90 thf(zip_derived_cl74, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.30/0.90 thf(zip_derived_cl85, plain,
% 1.30/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl74])).
% 1.30/0.90 thf(zip_derived_cl74, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.30/0.90 thf(zip_derived_cl74, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.30/0.90 thf(zip_derived_cl82, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl74])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl367, plain,
% 1.30/0.90 ((((sk_c3) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl348])).
% 1.30/0.90 thf(prove_this_23, conjecture,
% 1.30/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.30/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.30/0.90 thf(zf_stmt_2, negated_conjecture,
% 1.30/0.90 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.30/0.90 thf(zip_derived_cl25, plain,
% 1.30/0.90 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.30/0.90 thf(zip_derived_cl1, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.90 thf(zip_derived_cl38, plain,
% 1.30/0.90 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.30/0.90 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 1.30/0.90 thf(zip_derived_cl74, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.30/0.90 thf(zip_derived_cl90, plain,
% 1.30/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.30/0.90 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl74])).
% 1.30/0.90 thf(prove_this_15, conjecture,
% 1.30/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.30/0.90 thf(zf_stmt_3, negated_conjecture,
% 1.30/0.90 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.30/0.90 thf(zip_derived_cl17, plain,
% 1.30/0.90 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.30/0.90 thf(zip_derived_cl118, plain,
% 1.30/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.30/0.90 = (sk_c7))
% 1.30/0.90 | ((inverse @ sk_c4) = (sk_c5))
% 1.30/0.90 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl17])).
% 1.30/0.90 thf(zip_derived_cl2, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.90 thf(zip_derived_cl0, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.90 thf(zip_derived_cl1, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.90 thf(zip_derived_cl132, plain,
% 1.30/0.90 ((((identity) = (sk_c7))
% 1.30/0.90 | ((inverse @ sk_c4) = (sk_c5))
% 1.30/0.90 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl118, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.90 zip_derived_cl1])).
% 1.30/0.90 thf(zip_derived_cl133, plain,
% 1.30/0.90 ((((inverse @ sk_c4) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl132])).
% 1.30/0.90 thf(prove_this_22, conjecture,
% 1.30/0.90 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.30/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.30/0.90 thf(zf_stmt_4, negated_conjecture,
% 1.30/0.90 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.30/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.30/0.90 thf(zip_derived_cl24, plain,
% 1.30/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl85, plain,
% 1.30/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl74])).
% 1.30/0.90 thf(zip_derived_cl379, plain,
% 1.30/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl348, zip_derived_cl85])).
% 1.30/0.90 thf(zip_derived_cl400, plain,
% 1.30/0.90 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl379])).
% 1.30/0.90 thf(prove_this_14, conjecture,
% 1.30/0.90 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.30/0.90 thf(zf_stmt_5, negated_conjecture,
% 1.30/0.90 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.30/0.90 thf(zip_derived_cl16, plain,
% 1.30/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.30/0.90 thf(zip_derived_cl619, plain,
% 1.30/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl400, zip_derived_cl16])).
% 1.30/0.90 thf(zip_derived_cl1, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.90 thf(zip_derived_cl639, plain,
% 1.30/0.90 ((((identity) = (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl619, zip_derived_cl1])).
% 1.30/0.90 thf(zip_derived_cl640, plain,
% 1.30/0.90 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl639])).
% 1.30/0.90 thf(zip_derived_cl896, plain,
% 1.30/0.90 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c7))
% 1.30/0.90 | ((identity) = (sk_c7))
% 1.30/0.90 | ((identity) = (sk_c7)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl640])).
% 1.30/0.90 thf(zip_derived_cl379, plain,
% 1.30/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl348, zip_derived_cl85])).
% 1.30/0.90 thf(zip_derived_cl1, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.90 thf(zip_derived_cl384, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl1])).
% 1.30/0.90 thf(zip_derived_cl902, plain,
% 1.30/0.90 ((((identity) = (sk_c7))
% 1.30/0.90 | ((identity) = (sk_c7))
% 1.30/0.90 | ((identity) = (sk_c7)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl896, zip_derived_cl384])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl940, plain,
% 1.30/0.90 ((((sk_c3) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c6)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl367, zip_derived_cl903, zip_derived_cl348])).
% 1.30/0.90 thf(prove_this_5, conjecture,
% 1.30/0.90 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.30/0.90 thf(zf_stmt_6, negated_conjecture,
% 1.30/0.90 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.30/0.90 thf(zip_derived_cl7, plain,
% 1.30/0.90 ((((multiply @ sk_c3 @ sk_c7) = (sk_c8))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl910, plain, ((((sk_c3) = (sk_c8)) | ((sk_c8) = (sk_c6)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl7, zip_derived_cl903, zip_derived_cl348,
% 1.30/0.90 zip_derived_cl903, zip_derived_cl348])).
% 1.30/0.90 thf(zip_derived_cl960, plain,
% 1.30/0.90 ((((inverse @ sk_c8) = (sk_c8))
% 1.30/0.90 | ((sk_c8) = (sk_c6))
% 1.30/0.90 | ((sk_c8) = (sk_c6)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl940, zip_derived_cl910])).
% 1.30/0.90 thf(zip_derived_cl961, plain,
% 1.30/0.90 ((((sk_c8) = (sk_c6)) | ((inverse @ sk_c8) = (sk_c8)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl960])).
% 1.30/0.90 thf(prove_this_3, conjecture,
% 1.30/0.90 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.30/0.90 thf(zf_stmt_7, negated_conjecture,
% 1.30/0.90 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.30/0.90 thf(zip_derived_cl5, plain,
% 1.30/0.90 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.30/0.90 thf(zip_derived_cl74, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.30/0.90 thf(zip_derived_cl87, plain,
% 1.30/0.90 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl74])).
% 1.30/0.90 thf(zip_derived_cl140, plain,
% 1.30/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c7) != (multiply @ sk_c8 @ sk_c7))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.30/0.90 inference('eq_fact', [status(thm)], [zip_derived_cl87])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl937, plain,
% 1.30/0.90 ((((inverse @ sk_c8) != (sk_c8)) | ((sk_c8) = (sk_c6)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl140, zip_derived_cl903, zip_derived_cl348,
% 1.30/0.90 zip_derived_cl903, zip_derived_cl348, zip_derived_cl903,
% 1.30/0.90 zip_derived_cl348])).
% 1.30/0.90 thf(zip_derived_cl976, plain, (((sk_c8) = (sk_c6))),
% 1.30/0.90 inference('clc', [status(thm)], [zip_derived_cl961, zip_derived_cl937])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl976, plain, (((sk_c8) = (sk_c6))),
% 1.30/0.90 inference('clc', [status(thm)], [zip_derived_cl961, zip_derived_cl937])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl1373, plain,
% 1.30/0.90 ((((multiply @ sk_c8 @ sk_c8) = (identity))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c8) = (identity)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl29, zip_derived_cl976, zip_derived_cl903,
% 1.30/0.90 zip_derived_cl976, zip_derived_cl903])).
% 1.30/0.90 thf(zip_derived_cl1374, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1373])).
% 1.30/0.90 thf(zip_derived_cl74, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.30/0.90 thf(zip_derived_cl1378, plain,
% 1.30/0.90 (((sk_c8) = (multiply @ (inverse @ sk_c8) @ identity))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl1374, zip_derived_cl74])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl1382, plain, (((sk_c8) = (inverse @ sk_c8))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl1378, zip_derived_cl348])).
% 1.30/0.90 thf(zip_derived_cl1382, plain, (((sk_c8) = (inverse @ sk_c8))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl1378, zip_derived_cl348])).
% 1.30/0.90 thf(prove_this_33, conjecture,
% 1.30/0.90 (~( ( ( multiply @ X5 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( inverse @ X4 ) != ( X5 ) ) |
% 1.30/0.90 ( ( multiply @ X4 @ X5 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.30/0.90 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 1.30/0.90 thf(zf_stmt_8, negated_conjecture,
% 1.30/0.90 (( ( multiply @ X5 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( inverse @ X4 ) != ( X5 ) ) |
% 1.30/0.90 ( ( multiply @ X4 @ X5 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.30/0.90 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.30/0.90 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) )),
% 1.30/0.90 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 1.30/0.90 thf(zip_derived_cl35, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (sk_c7))
% 1.30/0.90 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c6) != (sk_c7))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c6 @ sk_c8) != (sk_c7))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 1.30/0.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.30/0.90 thf(zip_derived_cl36, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((multiply @ X0 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (sk_c7))
% 1.30/0.90 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (sk_c7))
% 1.30/0.90 | ((multiply @ (multiply @ sk_c8 @ sk_c7) @ sk_c8) != (sk_c7))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 1.30/0.90 inference('local_rewriting', [status(thm)], [zip_derived_cl35])).
% 1.30/0.90 thf(zip_derived_cl2, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.90 thf(zip_derived_cl55, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((multiply @ X0 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (sk_c7))
% 1.30/0.90 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c8 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl2])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl0, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl903, plain, (((identity) = (sk_c7))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.30/0.90 thf(zip_derived_cl348, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl82])).
% 1.30/0.90 thf(zip_derived_cl932, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((X2) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X4 @ sk_c8) != (identity))
% 1.30/0.90 | ((sk_c8) != (sk_c6)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl55, zip_derived_cl903, zip_derived_cl348,
% 1.30/0.90 zip_derived_cl903, zip_derived_cl903, zip_derived_cl903,
% 1.30/0.90 zip_derived_cl348, zip_derived_cl903, zip_derived_cl348,
% 1.30/0.90 zip_derived_cl903, zip_derived_cl903, zip_derived_cl903,
% 1.30/0.90 zip_derived_cl0, zip_derived_cl903, zip_derived_cl903,
% 1.30/0.90 zip_derived_cl903, zip_derived_cl348])).
% 1.30/0.90 thf(zip_derived_cl933, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((sk_c8) != (sk_c6))
% 1.30/0.90 | ((multiply @ X4 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl932])).
% 1.30/0.90 thf(zip_derived_cl976, plain, (((sk_c8) = (sk_c6))),
% 1.30/0.90 inference('clc', [status(thm)], [zip_derived_cl961, zip_derived_cl937])).
% 1.30/0.90 thf(zip_derived_cl977, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((sk_c8) != (sk_c8))
% 1.30/0.90 | ((multiply @ X4 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl933, zip_derived_cl976])).
% 1.30/0.90 thf(zip_derived_cl978, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((X2) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl977])).
% 1.30/0.90 thf(zip_derived_cl1374, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1373])).
% 1.30/0.90 thf(zip_derived_cl1375, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((X2) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((identity) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl978, zip_derived_cl1374])).
% 1.30/0.90 thf(zip_derived_cl1376, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.90 (((multiply @ X4 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X4) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1375])).
% 1.30/0.90 thf(zip_derived_cl1573, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.90 (((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ sk_c8) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1376])).
% 1.30/0.90 thf(zip_derived_cl1382, plain, (((sk_c8) = (inverse @ sk_c8))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl1378, zip_derived_cl348])).
% 1.30/0.90 thf(zip_derived_cl1574, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.90 (((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((sk_c8) != (sk_c8))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl1573, zip_derived_cl1382])).
% 1.30/0.90 thf(zip_derived_cl1575, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.90 (((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X3) != (sk_c8))
% 1.30/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1574])).
% 1.30/0.90 thf(zip_derived_cl1577, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.90 (((sk_c8) != (sk_c8))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('sup-', [status(thm)], [zip_derived_cl1382, zip_derived_cl1575])).
% 1.30/0.90 thf(zip_derived_cl1374, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1373])).
% 1.30/0.90 thf(zip_derived_cl1585, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.90 (((sk_c8) != (sk_c8))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.30/0.90 | ((identity) != (identity)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl1577, zip_derived_cl1374])).
% 1.30/0.90 thf(zip_derived_cl1586, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.90 (((multiply @ X2 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X2) != (sk_c8))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1585])).
% 1.30/0.90 thf(zip_derived_cl1595, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 (((sk_c8) != (sk_c8))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('sup-', [status(thm)], [zip_derived_cl1382, zip_derived_cl1586])).
% 1.30/0.90 thf(zip_derived_cl1374, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1373])).
% 1.30/0.90 thf(zip_derived_cl1603, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 (((sk_c8) != (sk_c8))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((identity) != (identity)))),
% 1.30/0.90 inference('demod', [status(thm)],
% 1.30/0.90 [zip_derived_cl1595, zip_derived_cl1374])).
% 1.30/0.90 thf(zip_derived_cl1604, plain,
% 1.30/0.90 (![X0 : $i, X1 : $i]:
% 1.30/0.90 (((multiply @ X1 @ X0) != (identity))
% 1.30/0.90 | ((inverse @ X1) != (X0))
% 1.30/0.90 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1603])).
% 1.30/0.90 thf(zip_derived_cl1622, plain,
% 1.30/0.90 (![X0 : $i]:
% 1.30/0.90 (((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.30/0.90 | ((multiply @ X0 @ (inverse @ X0)) != (identity)))),
% 1.30/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1604])).
% 1.30/0.90 thf(zip_derived_cl384, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.30/0.90 inference('sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl1])).
% 1.30/0.90 thf(zip_derived_cl1623, plain,
% 1.30/0.90 (![X0 : $i]:
% 1.30/0.90 (((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.30/0.90 | ((identity) != (identity)))),
% 1.30/0.90 inference('demod', [status(thm)], [zip_derived_cl1622, zip_derived_cl384])).
% 1.30/0.90 thf(zip_derived_cl1624, plain,
% 1.30/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ sk_c8) != (identity))),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1623])).
% 1.30/0.90 thf(zip_derived_cl1627, plain, (((identity) != (identity))),
% 1.30/0.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1624])).
% 1.30/0.90 thf(zip_derived_cl1638, plain, ($false),
% 1.30/0.90 inference('simplify', [status(thm)], [zip_derived_cl1627])).
% 1.30/0.90
% 1.30/0.90 % SZS output end Refutation
% 1.30/0.90
% 1.30/0.90
% 1.30/0.90 % Terminating...
% 1.63/1.02 % Runner terminated.
% 1.63/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------