TSTP Solution File: GRP281-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP281-1 : 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.LQ0fo3gsMA true
% Computer : n014.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 1.26s 0.90s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP281-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LQ0fo3gsMA true
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 21:38:16 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.90 % Solved by fo/fo7.sh.
% 1.26/0.90 % done 361 iterations in 0.120s
% 1.26/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/0.90 % SZS output start Refutation
% 1.26/0.90 thf(sk_c3_type, type, sk_c3: $i).
% 1.26/0.90 thf(sk_c6_type, type, sk_c6: $i).
% 1.26/0.90 thf(sk_c1_type, type, sk_c1: $i).
% 1.26/0.90 thf(sk_c5_type, type, sk_c5: $i).
% 1.26/0.90 thf(identity_type, type, identity: $i).
% 1.26/0.90 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.26/0.90 thf(sk_c7_type, type, sk_c7: $i).
% 1.26/0.90 thf(inverse_type, type, inverse: $i > $i).
% 1.26/0.90 thf(sk_c4_type, type, sk_c4: $i).
% 1.26/0.90 thf(sk_c2_type, type, sk_c2: $i).
% 1.26/0.90 thf(sk_c8_type, type, sk_c8: $i).
% 1.26/0.90 thf(prove_this_31, conjecture,
% 1.26/0.90 (~( ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.26/0.90 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 1.26/0.90 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 1.26/0.90 thf(zf_stmt_0, negated_conjecture,
% 1.26/0.90 (( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.26/0.90 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 1.26/0.90 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.26/0.90 thf(zip_derived_cl33, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.26/0.90 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.26/0.90 | ((inverse @ X0) != (sk_c7))
% 1.26/0.90 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.26/0.90 | ((inverse @ X1) != (sk_c8))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 1.26/0.90 | ((inverse @ X2) != (sk_c8))
% 1.26/0.90 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.26/0.90 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.26/0.90 | ((inverse @ X4) != (sk_c8))
% 1.26/0.90 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.26/0.90 thf(zip_derived_cl34, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.26/0.90 (((multiply @ X0 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 1.26/0.90 | ((inverse @ X0) != (sk_c7))
% 1.26/0.90 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.26/0.90 | ((inverse @ X1) != (sk_c8))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 1.26/0.90 | ((inverse @ X2) != (sk_c8))
% 1.26/0.90 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.26/0.90 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.26/0.90 | ((inverse @ X4) != (sk_c8))
% 1.26/0.90 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 1.26/0.90 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.26/0.90 thf(prove_this_12, conjecture,
% 1.26/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.26/0.90 thf(zf_stmt_1, negated_conjecture,
% 1.26/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.26/0.90 thf(zip_derived_cl14, plain,
% 1.26/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.26/0.90 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl42, plain,
% 1.26/0.90 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.26/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(associativity, axiom,
% 1.26/0.90 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.26/0.90 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.26/0.90 thf(zip_derived_cl2, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.26/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.26/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.26/0.90 thf(zip_derived_cl56, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((multiply @ identity @ X0)
% 1.26/0.90 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.26/0.90 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl95, plain,
% 1.26/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.26/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl77])).
% 1.26/0.90 thf(prove_this_7, conjecture,
% 1.26/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.26/0.90 thf(zf_stmt_2, negated_conjecture,
% 1.26/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.26/0.90 thf(zip_derived_cl9, plain,
% 1.26/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.26/0.90 thf(zip_derived_cl216, plain,
% 1.26/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.26/0.90 = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c4) = (sk_c8))
% 1.26/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl9])).
% 1.26/0.90 thf(zip_derived_cl2, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.26/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.26/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl229, plain,
% 1.26/0.90 ((((identity) = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c4) = (sk_c8))
% 1.26/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl216, zip_derived_cl2, zip_derived_cl0,
% 1.26/0.90 zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl230, plain,
% 1.26/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl236, plain,
% 1.26/0.90 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl325, plain,
% 1.26/0.90 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.26/0.90 | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl91, plain,
% 1.26/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl88, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl536, plain,
% 1.26/0.90 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl325, zip_derived_cl504])).
% 1.26/0.90 thf(prove_this_14, conjecture,
% 1.26/0.90 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.26/0.90 thf(zf_stmt_3, negated_conjecture,
% 1.26/0.90 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.26/0.90 thf(zip_derived_cl16, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl43, plain,
% 1.26/0.90 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl96, plain,
% 1.26/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl77])).
% 1.26/0.90 thf(prove_this_9, conjecture,
% 1.26/0.90 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.26/0.90 thf(zf_stmt_4, negated_conjecture,
% 1.26/0.90 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.26/0.90 thf(zip_derived_cl11, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.26/0.90 thf(zip_derived_cl139, plain,
% 1.26/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.26/0.90 = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl11])).
% 1.26/0.90 thf(zip_derived_cl2, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.26/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.26/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl152, plain,
% 1.26/0.90 ((((identity) = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl139, zip_derived_cl2, zip_derived_cl0,
% 1.26/0.90 zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl153, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl152])).
% 1.26/0.90 thf(prove_this_15, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.26/0.90 thf(zf_stmt_5, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.26/0.90 thf(zip_derived_cl17, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.26/0.90 thf(zip_derived_cl91, plain,
% 1.26/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl382, plain,
% 1.26/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl91])).
% 1.26/0.90 thf(prove_this_10, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.26/0.90 thf(zf_stmt_6, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.26/0.90 thf(zip_derived_cl12, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.26/0.90 thf(zip_derived_cl442, plain,
% 1.26/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.26/0.90 = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl12])).
% 1.26/0.90 thf(zip_derived_cl2, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.26/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.26/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl457, plain,
% 1.26/0.90 ((((identity) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl442, zip_derived_cl2, zip_derived_cl0,
% 1.26/0.90 zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl458, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl457])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl462, plain,
% 1.26/0.90 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c7))
% 1.26/0.90 | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl1133, plain,
% 1.26/0.90 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.26/0.90 | ((identity) = (sk_c7))
% 1.26/0.90 | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl462])).
% 1.26/0.90 thf(zip_derived_cl1138, plain,
% 1.26/0.90 ((((identity) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1133])).
% 1.26/0.90 thf(prove_this_11, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.26/0.90 thf(zf_stmt_7, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.26/0.90 thf(zip_derived_cl13, plain,
% 1.26/0.90 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl41, plain,
% 1.26/0.90 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl94, plain,
% 1.26/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl77])).
% 1.26/0.90 thf(prove_this_6, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.26/0.90 thf(zf_stmt_8, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.26/0.90 thf(zip_derived_cl8, plain,
% 1.26/0.90 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.26/0.90 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.26/0.90 thf(zip_derived_cl191, plain,
% 1.26/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.26/0.90 = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl8])).
% 1.26/0.90 thf(zip_derived_cl2, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.26/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.26/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl204, plain,
% 1.26/0.90 ((((identity) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl191, zip_derived_cl2, zip_derived_cl0,
% 1.26/0.90 zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl205, plain,
% 1.26/0.90 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 1.26/0.90 thf(zip_derived_cl1147, plain,
% 1.26/0.90 ((((multiply @ sk_c7 @ sk_c8) = (multiply @ sk_c7 @ sk_c7))
% 1.26/0.90 | ((identity) = (sk_c7))
% 1.26/0.90 | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1138, zip_derived_cl205])).
% 1.26/0.90 thf(zip_derived_cl1151, plain,
% 1.26/0.90 ((((identity) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c7 @ sk_c8) = (multiply @ sk_c7 @ sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1147])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl1195, plain,
% 1.26/0.90 ((((sk_c7) = (multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ sk_c8)))
% 1.26/0.90 | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1151, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl1197, plain,
% 1.26/0.90 ((((sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl1195, zip_derived_cl77])).
% 1.26/0.90 thf(prove_this_13, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.26/0.90 thf(zf_stmt_9, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.26/0.90 thf(zip_derived_cl15, plain,
% 1.26/0.90 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl91, plain,
% 1.26/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl549, plain,
% 1.26/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl504, zip_derived_cl91])).
% 1.26/0.90 thf(zip_derived_cl565, plain,
% 1.26/0.90 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl549])).
% 1.26/0.90 thf(prove_this_8, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.26/0.90 thf(zf_stmt_10, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.26/0.90 thf(zip_derived_cl10, plain,
% 1.26/0.90 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.26/0.90 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.26/0.90 thf(zip_derived_cl873, plain,
% 1.26/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.26/0.90 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl565, zip_derived_cl10])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl888, plain,
% 1.26/0.90 ((((identity) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.26/0.90 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl873, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl889, plain,
% 1.26/0.90 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl888])).
% 1.26/0.90 thf(zip_derived_cl1206, plain,
% 1.26/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 1.26/0.90 | ((identity) = (sk_c7))
% 1.26/0.90 | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1197, zip_derived_cl889])).
% 1.26/0.90 thf(zip_derived_cl1213, plain,
% 1.26/0.90 ((((identity) = (sk_c7)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1206])).
% 1.26/0.90 thf(zip_derived_cl1309, plain,
% 1.26/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 1.26/0.90 | ((identity) = (sk_c7))
% 1.26/0.90 | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl536, zip_derived_cl1213])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl1312, plain,
% 1.26/0.90 ((((identity) = (sk_c8))
% 1.26/0.90 | ((identity) = (sk_c7))
% 1.26/0.90 | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl1309, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl1313, plain,
% 1.26/0.90 ((((identity) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1312])).
% 1.26/0.90 thf(zip_derived_cl1197, plain,
% 1.26/0.90 ((((sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl1195, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl1208, plain,
% 1.26/0.90 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 1.26/0.90 inference('eq_fact', [status(thm)], [zip_derived_cl1197])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl1345, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.26/0.90 (((multiply @ X0 @ sk_c8) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((X1) != (sk_c8))
% 1.26/0.90 | ((inverse @ X1) != (sk_c8))
% 1.26/0.90 | ((sk_c8) != (sk_c6))
% 1.26/0.90 | ((inverse @ X2) != (sk_c8))
% 1.26/0.90 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.26/0.90 | ((multiply @ sk_c8 @ X3) != (identity))
% 1.26/0.90 | ((inverse @ X4) != (sk_c8))
% 1.26/0.90 | ((multiply @ X4 @ sk_c8) != (identity))
% 1.26/0.90 | ((sk_c8) != (sk_c6)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl34, zip_derived_cl1316, zip_derived_cl504,
% 1.26/0.90 zip_derived_cl1316, zip_derived_cl1316, zip_derived_cl1316,
% 1.26/0.90 zip_derived_cl504, zip_derived_cl1316, zip_derived_cl0,
% 1.26/0.90 zip_derived_cl1316, zip_derived_cl1316, zip_derived_cl1316,
% 1.26/0.90 zip_derived_cl504])).
% 1.26/0.90 thf(zip_derived_cl1346, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.26/0.90 (((multiply @ X4 @ sk_c8) != (identity))
% 1.26/0.90 | ((inverse @ X4) != (sk_c8))
% 1.26/0.90 | ((multiply @ sk_c8 @ X3) != (identity))
% 1.26/0.90 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.26/0.90 | ((inverse @ X2) != (sk_c8))
% 1.26/0.90 | ((sk_c8) != (sk_c6))
% 1.26/0.90 | ((inverse @ X1) != (sk_c8))
% 1.26/0.90 | ((X1) != (sk_c8))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1345])).
% 1.26/0.90 thf(prove_this_1, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.26/0.90 thf(zf_stmt_11, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.26/0.90 thf(zip_derived_cl3, plain,
% 1.26/0.90 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.26/0.90 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl1317, plain, ((((sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c6)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl3, zip_derived_cl1316, zip_derived_cl0,
% 1.26/0.90 zip_derived_cl1316, zip_derived_cl504])).
% 1.26/0.90 thf(zip_derived_cl1318, plain, (((sk_c8) = (sk_c6))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1317])).
% 1.26/0.90 thf(zip_derived_cl1408, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.26/0.90 (((multiply @ X4 @ sk_c8) != (identity))
% 1.26/0.90 | ((inverse @ X4) != (sk_c8))
% 1.26/0.90 | ((multiply @ sk_c8 @ X3) != (identity))
% 1.26/0.90 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.26/0.90 | ((inverse @ X2) != (sk_c8))
% 1.26/0.90 | ((sk_c8) != (sk_c8))
% 1.26/0.90 | ((inverse @ X1) != (sk_c8))
% 1.26/0.90 | ((X1) != (sk_c8))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl1346, zip_derived_cl1318])).
% 1.26/0.90 thf(zip_derived_cl1409, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.26/0.90 (((multiply @ X0 @ sk_c8) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((X1) != (sk_c8))
% 1.26/0.90 | ((inverse @ X1) != (sk_c8))
% 1.26/0.90 | ((inverse @ X2) != (sk_c8))
% 1.26/0.90 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.26/0.90 | ((multiply @ sk_c8 @ X3) != (identity))
% 1.26/0.90 | ((inverse @ X4) != (sk_c8))
% 1.26/0.90 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1408])).
% 1.26/0.90 thf(zip_derived_cl1410, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.26/0.90 (((multiply @ X0 @ sk_c8) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (sk_c8))
% 1.26/0.90 | ((multiply @ sk_c8 @ X1) != (identity))
% 1.26/0.90 | ((multiply @ X2 @ sk_c8) != (X1))
% 1.26/0.90 | ((inverse @ X2) != (sk_c8))
% 1.26/0.90 | ((inverse @ sk_c8) != (sk_c8))
% 1.26/0.90 | ((inverse @ X3) != (identity))
% 1.26/0.90 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 1.26/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1409])).
% 1.26/0.90 thf(prove_this_30, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.26/0.90 thf(zf_stmt_12, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.26/0.90 thf(zip_derived_cl32, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.26/0.90 thf(zip_derived_cl549, plain,
% 1.26/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl504, zip_derived_cl91])).
% 1.26/0.90 thf(zip_derived_cl572, plain,
% 1.26/0.90 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl549])).
% 1.26/0.90 thf(prove_this_25, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.26/0.90 thf(zf_stmt_13, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.26/0.90 thf(zip_derived_cl27, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.26/0.90 thf(zip_derived_cl959, plain,
% 1.26/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c3))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl572, zip_derived_cl27])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl973, plain,
% 1.26/0.90 ((((identity) = (sk_c3))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl959, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl974, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl973])).
% 1.26/0.90 thf(prove_this_20, conjecture,
% 1.26/0.90 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.26/0.90 thf(zf_stmt_14, negated_conjecture,
% 1.26/0.90 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.26/0.90 thf(zip_derived_cl22, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.26/0.90 thf(zip_derived_cl1047, plain,
% 1.26/0.90 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl974, zip_derived_cl22])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl1057, plain,
% 1.26/0.90 ((((sk_c8) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl1047, zip_derived_cl504])).
% 1.26/0.90 thf(zip_derived_cl1058, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1057])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl1389, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c6) = (identity)) | ((sk_c8) = (identity)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl1058, zip_derived_cl1316, zip_derived_cl1316])).
% 1.26/0.90 thf(zip_derived_cl1318, plain, (((sk_c8) = (sk_c6))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1317])).
% 1.26/0.90 thf(zip_derived_cl1858, plain,
% 1.26/0.90 ((((multiply @ sk_c5 @ sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl1389, zip_derived_cl1318])).
% 1.26/0.90 thf(prove_this_29, conjecture,
% 1.26/0.90 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.26/0.90 thf(zf_stmt_15, negated_conjecture,
% 1.26/0.90 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.26/0.90 thf(zip_derived_cl31, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl46, plain,
% 1.26/0.90 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl102, plain,
% 1.26/0.90 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl77])).
% 1.26/0.90 thf(prove_this_24, conjecture,
% 1.26/0.90 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.26/0.90 thf(zf_stmt_16, negated_conjecture,
% 1.26/0.90 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.26/0.90 thf(zip_derived_cl26, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.26/0.90 thf(zip_derived_cl159, plain,
% 1.26/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.26/0.90 = (sk_c3))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl26])).
% 1.26/0.90 thf(zip_derived_cl2, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.26/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.26/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl170, plain,
% 1.26/0.90 ((((identity) = (sk_c3))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl159, zip_derived_cl2, zip_derived_cl0,
% 1.26/0.90 zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl171, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl170])).
% 1.26/0.90 thf(prove_this_19, conjecture,
% 1.26/0.90 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.26/0.90 thf(zf_stmt_17, negated_conjecture,
% 1.26/0.90 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.26/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.26/0.90 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.26/0.90 thf(zip_derived_cl21, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.26/0.90 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.26/0.90 thf(zip_derived_cl177, plain,
% 1.26/0.90 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7))
% 1.26/0.90 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl21])).
% 1.26/0.90 thf(zip_derived_cl179, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7))
% 1.26/0.90 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl177])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl532, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl504])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl1316, plain, (((identity) = (sk_c7))),
% 1.26/0.90 inference('clc', [status(thm)], [zip_derived_cl1313, zip_derived_cl1208])).
% 1.26/0.90 thf(zip_derived_cl1371, plain,
% 1.26/0.90 ((((inverse @ sk_c5) = (identity)) | ((sk_c8) = (identity)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl532, zip_derived_cl1316, zip_derived_cl1316])).
% 1.26/0.90 thf(zip_derived_cl549, plain,
% 1.26/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl504, zip_derived_cl91])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl556, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl549, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl1463, plain,
% 1.26/0.90 (![X0 : $i]:
% 1.26/0.90 (((X0) = (multiply @ sk_c5 @ (multiply @ identity @ X0)))
% 1.26/0.90 | ((sk_c8) = (identity)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1371, zip_derived_cl556])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1469, plain,
% 1.26/0.90 (![X0 : $i]: (((X0) = (multiply @ sk_c5 @ X0)) | ((sk_c8) = (identity)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl1463, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl1861, plain,
% 1.26/0.90 ((((sk_c8) = (identity))
% 1.26/0.90 | ((sk_c8) = (identity))
% 1.26/0.90 | ((sk_c8) = (identity)))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl1858, zip_derived_cl1469])).
% 1.26/0.90 thf(zip_derived_cl1870, plain, (((sk_c8) = (identity))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl1870, plain, (((sk_c8) = (identity))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 1.26/0.90 thf(zip_derived_cl1870, plain, (((sk_c8) = (identity))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl1870, plain, (((sk_c8) = (identity))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl1870, plain, (((sk_c8) = (identity))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 1.26/0.90 thf(zip_derived_cl1870, plain, (((sk_c8) = (identity))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 1.26/0.90 thf(zip_derived_cl0, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl90, plain,
% 1.26/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl77, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 1.26/0.90 thf(zip_derived_cl126, plain,
% 1.26/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl77])).
% 1.26/0.90 thf(zip_derived_cl1, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.26/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.26/0.90 thf(zip_derived_cl491, plain, (((inverse @ identity) = (identity))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl1870, plain, (((sk_c8) = (identity))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 1.26/0.90 thf(zip_derived_cl1870, plain, (((sk_c8) = (identity))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 1.26/0.90 thf(zip_derived_cl504, plain,
% 1.26/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.26/0.90 thf(zip_derived_cl1902, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.26/0.90 (((X0) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((X1) != (identity))
% 1.26/0.90 | ((X2) != (X1))
% 1.26/0.90 | ((inverse @ X2) != (identity))
% 1.26/0.90 | ((identity) != (identity))
% 1.26/0.90 | ((inverse @ X3) != (identity))
% 1.26/0.90 | ((X3) != (identity)))),
% 1.26/0.90 inference('demod', [status(thm)],
% 1.26/0.90 [zip_derived_cl1410, zip_derived_cl1870, zip_derived_cl504,
% 1.26/0.90 zip_derived_cl1870, zip_derived_cl1870, zip_derived_cl0,
% 1.26/0.90 zip_derived_cl1870, zip_derived_cl504, zip_derived_cl1870,
% 1.26/0.90 zip_derived_cl1870, zip_derived_cl491, zip_derived_cl1870,
% 1.26/0.90 zip_derived_cl1870, zip_derived_cl504])).
% 1.26/0.90 thf(zip_derived_cl1903, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.26/0.90 (((X3) != (identity))
% 1.26/0.90 | ((inverse @ X3) != (identity))
% 1.26/0.90 | ((inverse @ X2) != (identity))
% 1.26/0.90 | ((X2) != (X1))
% 1.26/0.90 | ((X1) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((X0) != (identity)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1902])).
% 1.26/0.90 thf(zip_derived_cl1918, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.90 (((X0) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((X1) != (identity))
% 1.26/0.90 | ((inverse @ X1) != (identity))
% 1.26/0.90 | ((inverse @ X2) != (identity))
% 1.26/0.90 | ((X2) != (identity)))),
% 1.26/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1903])).
% 1.26/0.90 thf(zip_derived_cl1919, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 (((X0) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((inverse @ X1) != (identity))
% 1.26/0.90 | ((X1) != (identity))
% 1.26/0.90 | ((inverse @ identity) != (identity)))),
% 1.26/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1918])).
% 1.26/0.90 thf(zip_derived_cl491, plain, (((inverse @ identity) = (identity))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl1920, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 (((X0) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((inverse @ X1) != (identity))
% 1.26/0.90 | ((X1) != (identity))
% 1.26/0.90 | ((identity) != (identity)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl1919, zip_derived_cl491])).
% 1.26/0.90 thf(zip_derived_cl1921, plain,
% 1.26/0.90 (![X0 : $i, X1 : $i]:
% 1.26/0.90 (((X1) != (identity))
% 1.26/0.90 | ((inverse @ X1) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((X0) != (identity)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1920])).
% 1.26/0.90 thf(zip_derived_cl1933, plain,
% 1.26/0.90 (![X0 : $i]:
% 1.26/0.90 (((X0) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((inverse @ identity) != (identity)))),
% 1.26/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1921])).
% 1.26/0.90 thf(zip_derived_cl491, plain, (((inverse @ identity) = (identity))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl1934, plain,
% 1.26/0.90 (![X0 : $i]:
% 1.26/0.90 (((X0) != (identity))
% 1.26/0.90 | ((inverse @ X0) != (identity))
% 1.26/0.90 | ((identity) != (identity)))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl1933, zip_derived_cl491])).
% 1.26/0.90 thf(zip_derived_cl1935, plain,
% 1.26/0.90 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1934])).
% 1.26/0.90 thf(zip_derived_cl1936, plain, (((inverse @ identity) != (identity))),
% 1.26/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1935])).
% 1.26/0.90 thf(zip_derived_cl491, plain, (((inverse @ identity) = (identity))),
% 1.26/0.90 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 1.26/0.90 thf(zip_derived_cl1937, plain, (((identity) != (identity))),
% 1.26/0.90 inference('demod', [status(thm)], [zip_derived_cl1936, zip_derived_cl491])).
% 1.26/0.90 thf(zip_derived_cl1938, plain, ($false),
% 1.26/0.90 inference('simplify', [status(thm)], [zip_derived_cl1937])).
% 1.26/0.90
% 1.26/0.90 % SZS output end Refutation
% 1.26/0.90
% 1.26/0.90
% 1.26/0.90 % Terminating...
% 1.51/0.95 % Runner terminated.
% 1.51/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------