TSTP Solution File: GRP279-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP279-1 : 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.0NBLxtzCNi true
% Computer : n004.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 01:51:01 EDT 2023
% Result : Unsatisfiable 1.22s 0.97s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.14 % Problem : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0NBLxtzCNi true
% 0.10/0.34 % Computer : n004.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue Aug 29 01:48:52 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.10/0.34 % Running portfolio for 300 s
% 0.10/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Number of cores: 8
% 0.10/0.35 % Python version: Python 3.6.8
% 0.10/0.35 % Running in FO mode
% 0.16/0.59 % Total configuration time : 435
% 0.16/0.59 % Estimated wc time : 1092
% 0.16/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.97 % Solved by fo/fo7.sh.
% 1.22/0.97 % done 411 iterations in 0.232s
% 1.22/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/0.97 % SZS output start Refutation
% 1.22/0.97 thf(sk_c2_type, type, sk_c2: $i).
% 1.22/0.97 thf(sk_c6_type, type, sk_c6: $i).
% 1.22/0.97 thf(sk_c1_type, type, sk_c1: $i).
% 1.22/0.97 thf(sk_c5_type, type, sk_c5: $i).
% 1.22/0.97 thf(identity_type, type, identity: $i).
% 1.22/0.97 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.22/0.97 thf(sk_c7_type, type, sk_c7: $i).
% 1.22/0.97 thf(inverse_type, type, inverse: $i > $i).
% 1.22/0.97 thf(sk_c4_type, type, sk_c4: $i).
% 1.22/0.97 thf(sk_c3_type, type, sk_c3: $i).
% 1.22/0.97 thf(sk_c8_type, type, sk_c8: $i).
% 1.22/0.97 thf(prove_this_31, conjecture,
% 1.22/0.97 (~( ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.22/0.97 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 1.22/0.97 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ X4 ) != ( X5 ) ) |
% 1.22/0.97 ( ( multiply @ X4 @ X5 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 1.22/0.97 thf(zf_stmt_0, negated_conjecture,
% 1.22/0.97 (( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.22/0.97 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 1.22/0.97 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ X4 ) != ( X5 ) ) |
% 1.22/0.97 ( ( multiply @ X4 @ X5 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.22/0.97 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.22/0.97 thf(zip_derived_cl33, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/0.97 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.22/0.97 | ((inverse @ X0) != (sk_c7))
% 1.22/0.97 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.22/0.97 | ((inverse @ X1) != (sk_c8))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 1.22/0.97 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.22/0.97 | ((inverse @ X3) != (X2))
% 1.22/0.97 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.22/0.97 | ((inverse @ X4) != (sk_c8))
% 1.22/0.97 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.97 thf(zip_derived_cl34, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/0.97 (((multiply @ X0 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 1.22/0.97 | ((inverse @ X0) != (sk_c7))
% 1.22/0.97 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.22/0.97 | ((inverse @ X1) != (sk_c8))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 1.22/0.97 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.22/0.97 | ((inverse @ X3) != (X2))
% 1.22/0.97 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.22/0.97 | ((inverse @ X4) != (sk_c8))
% 1.22/0.97 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 1.22/0.97 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.22/0.97 thf(prove_this_12, conjecture,
% 1.22/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.22/0.97 thf(zf_stmt_1, negated_conjecture,
% 1.22/0.97 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.22/0.97 thf(zip_derived_cl14, plain,
% 1.22/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/0.97 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl42, plain,
% 1.22/0.97 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.22/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(associativity, axiom,
% 1.22/0.97 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.22/0.97 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.22/0.97 thf(zip_derived_cl2, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/0.97 inference('cnf', [status(esa)], [associativity])).
% 1.22/0.97 thf(zip_derived_cl87, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((multiply @ identity @ X0)
% 1.22/0.97 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.22/0.97 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.22/0.97 thf(zip_derived_cl0, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl120, plain,
% 1.22/0.97 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.22/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl105])).
% 1.22/0.97 thf(prove_this_7, conjecture,
% 1.22/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.22/0.97 thf(zf_stmt_2, negated_conjecture,
% 1.22/0.97 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.22/0.97 thf(zip_derived_cl9, plain,
% 1.22/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.22/0.97 thf(zip_derived_cl236, plain,
% 1.22/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.22/0.97 = (sk_c7))
% 1.22/0.97 | ((inverse @ sk_c4) = (sk_c8))
% 1.22/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl9])).
% 1.22/0.97 thf(zip_derived_cl2, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/0.97 inference('cnf', [status(esa)], [associativity])).
% 1.22/0.97 thf(zip_derived_cl0, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl249, plain,
% 1.22/0.97 ((((identity) = (sk_c7))
% 1.22/0.97 | ((inverse @ sk_c4) = (sk_c8))
% 1.22/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl236, zip_derived_cl2, zip_derived_cl0,
% 1.22/0.97 zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl250, plain,
% 1.22/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl249])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl256, plain,
% 1.22/0.97 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl310, plain,
% 1.22/0.97 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.22/0.97 | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl116, plain,
% 1.22/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl113, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl452, plain,
% 1.22/0.97 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl310, zip_derived_cl433])).
% 1.22/0.97 thf(prove_this_14, conjecture,
% 1.22/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.22/0.97 thf(zf_stmt_3, negated_conjecture,
% 1.22/0.97 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.22/0.97 thf(zip_derived_cl16, plain,
% 1.22/0.97 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl43, plain,
% 1.22/0.97 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.22/0.97 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl121, plain,
% 1.22/0.97 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.22/0.97 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl105])).
% 1.22/0.97 thf(prove_this_9, conjecture,
% 1.22/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.22/0.97 thf(zf_stmt_4, negated_conjecture,
% 1.22/0.97 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.22/0.97 thf(zip_derived_cl11, plain,
% 1.22/0.97 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.22/0.97 thf(zip_derived_cl199, plain,
% 1.22/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.22/0.97 = (sk_c7))
% 1.22/0.97 | ((inverse @ sk_c5) = (sk_c7))
% 1.22/0.97 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl11])).
% 1.22/0.97 thf(zip_derived_cl2, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/0.97 inference('cnf', [status(esa)], [associativity])).
% 1.22/0.97 thf(zip_derived_cl0, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl212, plain,
% 1.22/0.97 ((((identity) = (sk_c7))
% 1.22/0.97 | ((inverse @ sk_c5) = (sk_c7))
% 1.22/0.97 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl199, zip_derived_cl2, zip_derived_cl0,
% 1.22/0.97 zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl213, plain,
% 1.22/0.97 ((((inverse @ sk_c5) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl212])).
% 1.22/0.97 thf(prove_this_15, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.22/0.97 thf(zf_stmt_5, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.22/0.97 thf(zip_derived_cl17, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl116, plain,
% 1.22/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl462, plain,
% 1.22/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl433, zip_derived_cl116])).
% 1.22/0.97 thf(zip_derived_cl480, plain,
% 1.22/0.97 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl462])).
% 1.22/0.97 thf(prove_this_10, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.22/0.97 thf(zf_stmt_6, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.22/0.97 thf(zip_derived_cl12, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.22/0.97 thf(zip_derived_cl634, plain,
% 1.22/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl12])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl648, plain,
% 1.22/0.97 ((((identity) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl634, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl649, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl648])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl721, plain,
% 1.22/0.97 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c7))
% 1.22/0.97 | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl649, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl809, plain,
% 1.22/0.97 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.22/0.97 | ((identity) = (sk_c7))
% 1.22/0.97 | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl213, zip_derived_cl721])).
% 1.22/0.97 thf(zip_derived_cl812, plain,
% 1.22/0.97 ((((identity) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl809])).
% 1.22/0.97 thf(prove_this_11, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.22/0.97 thf(zf_stmt_7, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.22/0.97 thf(zip_derived_cl13, plain,
% 1.22/0.97 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl41, plain,
% 1.22/0.97 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl119, plain,
% 1.22/0.97 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl105])).
% 1.22/0.97 thf(prove_this_6, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.22/0.97 thf(zf_stmt_8, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.22/0.97 thf(zip_derived_cl8, plain,
% 1.22/0.97 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.22/0.97 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.22/0.97 thf(zip_derived_cl152, plain,
% 1.22/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.22/0.97 = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl8])).
% 1.22/0.97 thf(zip_derived_cl2, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/0.97 inference('cnf', [status(esa)], [associativity])).
% 1.22/0.97 thf(zip_derived_cl0, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl163, plain,
% 1.22/0.97 ((((identity) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl152, zip_derived_cl2, zip_derived_cl0,
% 1.22/0.97 zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl164, plain,
% 1.22/0.97 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 1.22/0.97 thf(zip_derived_cl833, plain,
% 1.22/0.97 ((((multiply @ sk_c7 @ sk_c8) = (multiply @ sk_c7 @ sk_c7))
% 1.22/0.97 | ((identity) = (sk_c7))
% 1.22/0.97 | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl812, zip_derived_cl164])).
% 1.22/0.97 thf(zip_derived_cl835, plain,
% 1.22/0.97 ((((identity) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c7 @ sk_c8) = (multiply @ sk_c7 @ sk_c7)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl833])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl870, plain,
% 1.22/0.97 ((((sk_c7) = (multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ sk_c8)))
% 1.22/0.97 | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl835, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl877, plain,
% 1.22/0.97 ((((sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl870, zip_derived_cl105])).
% 1.22/0.97 thf(prove_this_13, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.22/0.97 thf(zf_stmt_9, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.22/0.97 thf(zip_derived_cl15, plain,
% 1.22/0.97 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.22/0.97 thf(zip_derived_cl462, plain,
% 1.22/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl433, zip_derived_cl116])).
% 1.22/0.97 thf(zip_derived_cl478, plain,
% 1.22/0.97 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl462])).
% 1.22/0.97 thf(prove_this_8, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.22/0.97 thf(zf_stmt_10, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.22/0.97 thf(zip_derived_cl10, plain,
% 1.22/0.97 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.22/0.97 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.22/0.97 thf(zip_derived_cl680, plain,
% 1.22/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.22/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl478, zip_derived_cl10])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl695, plain,
% 1.22/0.97 ((((identity) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.22/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl680, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl696, plain,
% 1.22/0.97 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl695])).
% 1.22/0.97 thf(zip_derived_cl888, plain,
% 1.22/0.97 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 1.22/0.97 | ((identity) = (sk_c7))
% 1.22/0.97 | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl877, zip_derived_cl696])).
% 1.22/0.97 thf(zip_derived_cl895, plain,
% 1.22/0.97 ((((identity) = (sk_c7)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl888])).
% 1.22/0.97 thf(zip_derived_cl1037, plain,
% 1.22/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 1.22/0.97 | ((identity) = (sk_c7))
% 1.22/0.97 | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl895])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl1039, plain,
% 1.22/0.97 ((((identity) = (sk_c8))
% 1.22/0.97 | ((identity) = (sk_c7))
% 1.22/0.97 | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl1037, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl1040, plain,
% 1.22/0.97 ((((identity) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1039])).
% 1.22/0.97 thf(zip_derived_cl877, plain,
% 1.22/0.97 ((((sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl870, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl891, plain,
% 1.22/0.97 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 1.22/0.97 inference('eq_fact', [status(thm)], [zip_derived_cl877])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl0, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl1071, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/0.97 (((multiply @ X0 @ sk_c8) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((X1) != (sk_c8))
% 1.22/0.97 | ((inverse @ X1) != (sk_c8))
% 1.22/0.97 | ((sk_c8) != (sk_c6))
% 1.22/0.97 | ((X2) != (sk_c8))
% 1.22/0.97 | ((inverse @ X3) != (X2))
% 1.22/0.97 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.22/0.97 | ((inverse @ X4) != (sk_c8))
% 1.22/0.97 | ((multiply @ X4 @ sk_c8) != (identity))
% 1.22/0.97 | ((sk_c8) != (sk_c6)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl34, zip_derived_cl1042, zip_derived_cl433,
% 1.22/0.97 zip_derived_cl1042, zip_derived_cl1042, zip_derived_cl1042,
% 1.22/0.97 zip_derived_cl433, zip_derived_cl1042, zip_derived_cl0,
% 1.22/0.97 zip_derived_cl1042, zip_derived_cl433, zip_derived_cl1042,
% 1.22/0.97 zip_derived_cl1042, zip_derived_cl433])).
% 1.22/0.97 thf(zip_derived_cl1072, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/0.97 (((multiply @ X4 @ sk_c8) != (identity))
% 1.22/0.97 | ((inverse @ X4) != (sk_c8))
% 1.22/0.97 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.22/0.97 | ((inverse @ X3) != (X2))
% 1.22/0.97 | ((X2) != (sk_c8))
% 1.22/0.97 | ((sk_c8) != (sk_c6))
% 1.22/0.97 | ((inverse @ X1) != (sk_c8))
% 1.22/0.97 | ((X1) != (sk_c8))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1071])).
% 1.22/0.97 thf(prove_this_1, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.22/0.97 thf(zf_stmt_11, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.22/0.97 thf(zip_derived_cl3, plain,
% 1.22/0.97 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.22/0.97 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl0, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl1043, plain, ((((sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c6)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl3, zip_derived_cl1042, zip_derived_cl0,
% 1.22/0.97 zip_derived_cl1042, zip_derived_cl433])).
% 1.22/0.97 thf(zip_derived_cl1044, plain, (((sk_c8) = (sk_c6))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1043])).
% 1.22/0.97 thf(zip_derived_cl1115, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/0.97 (((multiply @ X4 @ sk_c8) != (identity))
% 1.22/0.97 | ((inverse @ X4) != (sk_c8))
% 1.22/0.97 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.22/0.97 | ((inverse @ X3) != (X2))
% 1.22/0.97 | ((X2) != (sk_c8))
% 1.22/0.97 | ((sk_c8) != (sk_c8))
% 1.22/0.97 | ((inverse @ X1) != (sk_c8))
% 1.22/0.97 | ((X1) != (sk_c8))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl1072, zip_derived_cl1044])).
% 1.22/0.97 thf(zip_derived_cl1116, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/0.97 (((multiply @ X0 @ sk_c8) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((X1) != (sk_c8))
% 1.22/0.97 | ((inverse @ X1) != (sk_c8))
% 1.22/0.97 | ((X2) != (sk_c8))
% 1.22/0.97 | ((inverse @ X3) != (X2))
% 1.22/0.97 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.22/0.97 | ((inverse @ X4) != (sk_c8))
% 1.22/0.97 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1115])).
% 1.22/0.97 thf(zip_derived_cl1117, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.97 (((multiply @ X0 @ sk_c8) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (sk_c8))
% 1.22/0.97 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.22/0.97 | ((inverse @ X2) != (X1))
% 1.22/0.97 | ((X1) != (sk_c8))
% 1.22/0.97 | ((inverse @ sk_c8) != (sk_c8))
% 1.22/0.97 | ((inverse @ X3) != (identity))
% 1.22/0.97 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 1.22/0.97 inference('eq_res', [status(thm)], [zip_derived_cl1116])).
% 1.22/0.97 thf(prove_this_25, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 1.22/0.97 thf(zf_stmt_12, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.22/0.97 thf(zip_derived_cl27, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c3)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl1065, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c6) = (identity))
% 1.22/0.97 | ((inverse @ sk_c2) = (sk_c3)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl1042])).
% 1.22/0.97 thf(zip_derived_cl1044, plain, (((sk_c8) = (sk_c6))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1043])).
% 1.22/0.97 thf(zip_derived_cl1216, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c8) = (identity))
% 1.22/0.97 | ((inverse @ sk_c2) = (sk_c3)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl1065, zip_derived_cl1044])).
% 1.22/0.97 thf(prove_this_20, conjecture,
% 1.22/0.97 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.22/0.97 thf(zf_stmt_13, negated_conjecture,
% 1.22/0.97 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c8 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.22/0.97 thf(zip_derived_cl22, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.22/0.97 | ((multiply @ sk_c2 @ sk_c3) = (sk_c8)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl1061, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c6) = (identity))
% 1.22/0.97 | ((multiply @ sk_c2 @ sk_c3) = (sk_c8)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl1042])).
% 1.22/0.97 thf(zip_derived_cl1044, plain, (((sk_c8) = (sk_c6))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1043])).
% 1.22/0.97 thf(zip_derived_cl1948, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c8) = (identity))
% 1.22/0.97 | ((multiply @ sk_c2 @ sk_c3) = (sk_c8)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl1061, zip_derived_cl1044])).
% 1.22/0.97 thf(zip_derived_cl1961, plain,
% 1.22/0.97 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c8))
% 1.22/0.97 | ((multiply @ sk_c5 @ sk_c8) = (identity))
% 1.22/0.97 | ((multiply @ sk_c5 @ sk_c8) = (identity)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl1216, zip_derived_cl1948])).
% 1.22/0.97 thf(zip_derived_cl462, plain,
% 1.22/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl433, zip_derived_cl116])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl467, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl462, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl1972, plain,
% 1.22/0.97 ((((identity) = (sk_c8))
% 1.22/0.97 | ((multiply @ sk_c5 @ sk_c8) = (identity))
% 1.22/0.97 | ((multiply @ sk_c5 @ sk_c8) = (identity)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl1961, zip_derived_cl467])).
% 1.22/0.97 thf(zip_derived_cl1973, plain,
% 1.22/0.97 ((((multiply @ sk_c5 @ sk_c8) = (identity)) | ((identity) = (sk_c8)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1972])).
% 1.22/0.97 thf(prove_this_24, conjecture,
% 1.22/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 1.22/0.97 thf(zf_stmt_14, negated_conjecture,
% 1.22/0.97 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.22/0.97 thf(zip_derived_cl26, plain,
% 1.22/0.97 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c3)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl1064, plain,
% 1.22/0.97 ((((inverse @ sk_c5) = (identity)) | ((inverse @ sk_c2) = (sk_c3)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl1042])).
% 1.22/0.97 thf(prove_this_19, conjecture,
% 1.22/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.22/0.97 thf(zf_stmt_15, negated_conjecture,
% 1.22/0.97 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.22/0.97 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c8 ) )),
% 1.22/0.97 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.22/0.97 thf(zip_derived_cl21, plain,
% 1.22/0.97 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c8)))),
% 1.22/0.97 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.22/0.97 thf(zip_derived_cl1042, plain, (((identity) = (sk_c7))),
% 1.22/0.97 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl891])).
% 1.22/0.97 thf(zip_derived_cl1060, plain,
% 1.22/0.97 ((((inverse @ sk_c5) = (identity))
% 1.22/0.97 | ((multiply @ sk_c2 @ sk_c3) = (sk_c8)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl1042])).
% 1.22/0.97 thf(zip_derived_cl1205, plain,
% 1.22/0.97 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c8))
% 1.22/0.97 | ((inverse @ sk_c5) = (identity))
% 1.22/0.97 | ((inverse @ sk_c5) = (identity)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl1064, zip_derived_cl1060])).
% 1.22/0.97 thf(zip_derived_cl467, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl462, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl1213, plain,
% 1.22/0.97 ((((identity) = (sk_c8))
% 1.22/0.97 | ((inverse @ sk_c5) = (identity))
% 1.22/0.97 | ((inverse @ sk_c5) = (identity)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl1205, zip_derived_cl467])).
% 1.22/0.97 thf(zip_derived_cl1214, plain,
% 1.22/0.97 ((((inverse @ sk_c5) = (identity)) | ((identity) = (sk_c8)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1213])).
% 1.22/0.97 thf(zip_derived_cl462, plain,
% 1.22/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl433, zip_derived_cl116])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl469, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl462, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl1232, plain,
% 1.22/0.97 (![X0 : $i]:
% 1.22/0.97 (((X0) = (multiply @ sk_c5 @ (multiply @ identity @ X0)))
% 1.22/0.97 | ((identity) = (sk_c8)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl1214, zip_derived_cl469])).
% 1.22/0.97 thf(zip_derived_cl0, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.97 thf(zip_derived_cl1235, plain,
% 1.22/0.97 (![X0 : $i]: (((X0) = (multiply @ sk_c5 @ X0)) | ((identity) = (sk_c8)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl1232, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl1982, plain,
% 1.22/0.97 ((((sk_c8) = (identity))
% 1.22/0.97 | ((identity) = (sk_c8))
% 1.22/0.97 | ((identity) = (sk_c8)))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl1973, zip_derived_cl1235])).
% 1.22/0.97 thf(zip_derived_cl1987, plain, (((sk_c8) = (identity))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl1987, plain, (((sk_c8) = (identity))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 1.22/0.97 thf(zip_derived_cl1987, plain, (((sk_c8) = (identity))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 1.22/0.97 thf(zip_derived_cl1987, plain, (((sk_c8) = (identity))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 1.22/0.97 thf(zip_derived_cl1987, plain, (((sk_c8) = (identity))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 1.22/0.97 thf(zip_derived_cl0, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl115, plain,
% 1.22/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl105, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 1.22/0.97 thf(zip_derived_cl143, plain,
% 1.22/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl105])).
% 1.22/0.97 thf(zip_derived_cl1, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.97 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl1987, plain, (((sk_c8) = (identity))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 1.22/0.97 thf(zip_derived_cl1987, plain, (((sk_c8) = (identity))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl2015, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.97 (((X0) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((multiply @ X2 @ X1) != (identity))
% 1.22/0.97 | ((inverse @ X2) != (X1))
% 1.22/0.97 | ((X1) != (identity))
% 1.22/0.97 | ((identity) != (identity))
% 1.22/0.97 | ((inverse @ X3) != (identity))
% 1.22/0.97 | ((X3) != (identity)))),
% 1.22/0.97 inference('demod', [status(thm)],
% 1.22/0.97 [zip_derived_cl1117, zip_derived_cl1987, zip_derived_cl433,
% 1.22/0.97 zip_derived_cl1987, zip_derived_cl1987, zip_derived_cl1987,
% 1.22/0.97 zip_derived_cl1987, zip_derived_cl420, zip_derived_cl1987,
% 1.22/0.97 zip_derived_cl1987, zip_derived_cl433])).
% 1.22/0.97 thf(zip_derived_cl2016, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.97 (((X3) != (identity))
% 1.22/0.97 | ((inverse @ X3) != (identity))
% 1.22/0.97 | ((X1) != (identity))
% 1.22/0.97 | ((inverse @ X2) != (X1))
% 1.22/0.97 | ((multiply @ X2 @ X1) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((X0) != (identity)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl2015])).
% 1.22/0.97 thf(zip_derived_cl2057, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.97 (((X0) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((multiply @ X2 @ X1) != (identity))
% 1.22/0.97 | ((inverse @ X2) != (X1))
% 1.22/0.97 | ((X1) != (identity))
% 1.22/0.97 | ((inverse @ identity) != (identity)))),
% 1.22/0.97 inference('eq_res', [status(thm)], [zip_derived_cl2016])).
% 1.22/0.97 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl2058, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.97 (((X0) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((multiply @ X2 @ X1) != (identity))
% 1.22/0.97 | ((inverse @ X2) != (X1))
% 1.22/0.97 | ((X1) != (identity))
% 1.22/0.97 | ((identity) != (identity)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl2057, zip_derived_cl420])).
% 1.22/0.97 thf(zip_derived_cl2059, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.97 (((X1) != (identity))
% 1.22/0.97 | ((inverse @ X2) != (X1))
% 1.22/0.97 | ((multiply @ X2 @ X1) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((X0) != (identity)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl2058])).
% 1.22/0.97 thf(zip_derived_cl2060, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 (((X0) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((multiply @ X1 @ identity) != (identity))
% 1.22/0.97 | ((inverse @ X1) != (identity)))),
% 1.22/0.97 inference('eq_res', [status(thm)], [zip_derived_cl2059])).
% 1.22/0.97 thf(zip_derived_cl433, plain,
% 1.22/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 1.22/0.97 thf(zip_derived_cl2061, plain,
% 1.22/0.97 (![X0 : $i, X1 : $i]:
% 1.22/0.97 (((X0) != (identity))
% 1.22/0.97 | ((inverse @ X0) != (identity))
% 1.22/0.97 | ((X1) != (identity))
% 1.22/0.97 | ((inverse @ X1) != (identity)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl2060, zip_derived_cl433])).
% 1.22/0.97 thf(zip_derived_cl2062, plain,
% 1.22/0.97 (![X0 : $i]:
% 1.22/0.97 (((inverse @ X0) != (identity))
% 1.22/0.97 | ((X0) != (identity))
% 1.22/0.97 | ((inverse @ identity) != (identity)))),
% 1.22/0.97 inference('eq_res', [status(thm)], [zip_derived_cl2061])).
% 1.22/0.97 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl2063, plain,
% 1.22/0.97 (![X0 : $i]:
% 1.22/0.97 (((inverse @ X0) != (identity))
% 1.22/0.97 | ((X0) != (identity))
% 1.22/0.97 | ((identity) != (identity)))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl2062, zip_derived_cl420])).
% 1.22/0.97 thf(zip_derived_cl2064, plain,
% 1.22/0.97 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl2063])).
% 1.22/0.97 thf(zip_derived_cl2065, plain, (((inverse @ identity) != (identity))),
% 1.22/0.97 inference('eq_res', [status(thm)], [zip_derived_cl2064])).
% 1.22/0.97 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 1.22/0.97 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl1])).
% 1.22/0.97 thf(zip_derived_cl2066, plain, (((identity) != (identity))),
% 1.22/0.97 inference('demod', [status(thm)], [zip_derived_cl2065, zip_derived_cl420])).
% 1.22/0.97 thf(zip_derived_cl2067, plain, ($false),
% 1.22/0.97 inference('simplify', [status(thm)], [zip_derived_cl2066])).
% 1.22/0.97
% 1.22/0.97 % SZS output end Refutation
% 1.22/0.97
% 1.22/0.97
% 1.22/0.97 % Terminating...
% 1.60/1.04 % Runner terminated.
% 1.60/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------