TSTP Solution File: GRP229-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP229-1 : 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.NMyLcp7iPF true
% Computer : n006.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 01:50:49 EDT 2023
% Result : Unsatisfiable 0.59s 0.93s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP229-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NMyLcp7iPF true
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 01:09:36 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.51/0.68 % Total configuration time : 435
% 0.51/0.68 % Estimated wc time : 1092
% 0.51/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.93 % Solved by fo/fo7.sh.
% 0.59/0.93 % done 528 iterations in 0.167s
% 0.59/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.93 % SZS output start Refutation
% 0.59/0.93 thf(sk_c3_type, type, sk_c3: $i).
% 0.59/0.93 thf(sk_c7_type, type, sk_c7: $i).
% 0.59/0.93 thf(sk_c5_type, type, sk_c5: $i).
% 0.59/0.93 thf(sk_c6_type, type, sk_c6: $i).
% 0.59/0.93 thf(identity_type, type, identity: $i).
% 0.59/0.93 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.93 thf(sk_c8_type, type, sk_c8: $i).
% 0.59/0.93 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.93 thf(sk_c4_type, type, sk_c4: $i).
% 0.59/0.93 thf(sk_c2_type, type, sk_c2: $i).
% 0.59/0.93 thf(sk_c1_type, type, sk_c1: $i).
% 0.59/0.93 thf(prove_this_31, conjecture,
% 0.59/0.93 (~( ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.59/0.93 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) |
% 0.59/0.93 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 0.59/0.93 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ X4 ) != ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.93 (( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.59/0.93 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) |
% 0.59/0.93 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 0.59/0.93 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ X4 ) != ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.59/0.93 thf(zip_derived_cl33, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.93 (((inverse @ X0) != (sk_c8))
% 0.59/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.59/0.93 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 0.59/0.93 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.59/0.93 | ((inverse @ X2) != (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c8) != (sk_c7))
% 0.59/0.93 | ((inverse @ X3) != (sk_c8))
% 0.59/0.93 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.59/0.93 | ((multiply @ sk_c8 @ X4) != (sk_c7))
% 0.59/0.93 | ((multiply @ X5 @ sk_c7) != (sk_c8))
% 0.59/0.93 | ((inverse @ X5) != (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.93 thf(zip_derived_cl34, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.93 (((inverse @ X0) != (sk_c8))
% 0.59/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.59/0.93 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 0.59/0.93 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 0.59/0.93 | ((inverse @ X2) != (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c8) != (sk_c7))
% 0.59/0.93 | ((inverse @ X3) != (sk_c8))
% 0.59/0.93 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.59/0.93 | ((multiply @ sk_c8 @ X4) != (inverse @ sk_c8))
% 0.59/0.93 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 0.59/0.93 | ((inverse @ X5) != (sk_c8)))),
% 0.59/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.59/0.93 thf(prove_this_30, conjecture,
% 0.59/0.93 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.93 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.59/0.93 thf(zip_derived_cl32, plain,
% 0.59/0.93 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.93 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl41, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 0.59/0.93 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(associativity, axiom,
% 0.59/0.93 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.59/0.93 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.59/0.93 thf(zip_derived_cl2, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.93 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.93 thf(zip_derived_cl53, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((multiply @ identity @ X0)
% 0.59/0.93 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.93 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.59/0.93 thf(zip_derived_cl0, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl92, plain,
% 0.59/0.93 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.59/0.93 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl70])).
% 0.59/0.93 thf(prove_this_24, conjecture,
% 0.59/0.93 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 0.59/0.93 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.93 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.59/0.93 thf(zip_derived_cl26, plain,
% 0.59/0.93 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.93 thf(zip_derived_cl244, plain,
% 0.59/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.59/0.93 = (sk_c3))
% 0.59/0.93 | ((inverse @ sk_c5) = (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl26])).
% 0.59/0.93 thf(zip_derived_cl2, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.93 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.93 thf(zip_derived_cl0, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl256, plain,
% 0.59/0.93 ((((identity) = (sk_c3))
% 0.59/0.93 | ((inverse @ sk_c5) = (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl244, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.93 zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl257, plain,
% 0.59/0.93 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c3)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl256])).
% 0.59/0.93 thf(prove_this_18, conjecture,
% 0.59/0.93 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.59/0.93 thf(zf_stmt_3, negated_conjecture,
% 0.59/0.93 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.59/0.93 thf(zip_derived_cl20, plain,
% 0.59/0.93 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.93 thf(zip_derived_cl262, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.59/0.93 | ((inverse @ sk_c5) = (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl20])).
% 0.59/0.93 thf(zip_derived_cl266, plain,
% 0.59/0.93 ((((inverse @ sk_c5) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl81, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl70])).
% 0.59/0.93 thf(zip_derived_cl405, plain,
% 0.59/0.93 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.59/0.93 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl81])).
% 0.59/0.93 thf(zip_derived_cl81, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl70])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl78, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl70])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl741, plain,
% 0.59/0.93 ((((sk_c5) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c7)))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl405, zip_derived_cl708, zip_derived_cl708])).
% 0.59/0.93 thf(prove_this_29, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_4, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.59/0.93 thf(zip_derived_cl31, plain,
% 0.59/0.93 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl81, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl70])).
% 0.59/0.93 thf(zip_derived_cl751, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl708, zip_derived_cl81])).
% 0.59/0.93 thf(zip_derived_cl779, plain,
% 0.59/0.93 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl751])).
% 0.59/0.93 thf(prove_this_23, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 0.59/0.93 thf(zf_stmt_5, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.59/0.93 thf(zip_derived_cl25, plain,
% 0.59/0.93 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.59/0.93 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.93 thf(zip_derived_cl1186, plain,
% 0.59/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c3))
% 0.59/0.93 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.59/0.93 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl779, zip_derived_cl25])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl1203, plain,
% 0.59/0.93 ((((identity) = (sk_c3))
% 0.59/0.93 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.59/0.93 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl1186, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl1204, plain,
% 0.59/0.93 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c3)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1203])).
% 0.59/0.93 thf(prove_this_17, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.59/0.93 thf(zf_stmt_6, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.59/0.93 thf(zip_derived_cl19, plain,
% 0.59/0.93 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.93 thf(zip_derived_cl1222, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.59/0.93 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl1204, zip_derived_cl19])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl1234, plain,
% 0.59/0.93 ((((sk_c8) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.59/0.93 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl1222, zip_derived_cl708])).
% 0.59/0.93 thf(zip_derived_cl1235, plain,
% 0.59/0.93 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1234])).
% 0.59/0.93 thf(zip_derived_cl1382, plain,
% 0.59/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 0.59/0.93 | ((sk_c8) = (sk_c7))
% 0.59/0.93 | ((sk_c8) = (sk_c7)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl741, zip_derived_cl1235])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl1385, plain,
% 0.59/0.93 ((((identity) = (sk_c6)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl1382, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl1386, plain,
% 0.59/0.93 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1385])).
% 0.59/0.93 thf(prove_this_28, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_7, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.59/0.93 thf(zip_derived_cl30, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl751, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl708, zip_derived_cl81])).
% 0.59/0.93 thf(zip_derived_cl778, plain,
% 0.59/0.93 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl751])).
% 0.59/0.93 thf(prove_this_22, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 0.59/0.93 thf(zf_stmt_8, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.59/0.93 thf(zip_derived_cl24, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.59/0.93 thf(zip_derived_cl1128, plain,
% 0.59/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c3))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl778, zip_derived_cl24])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl1145, plain,
% 0.59/0.93 ((((identity) = (sk_c3))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl1128, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl1146, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c3)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1145])).
% 0.59/0.93 thf(prove_this_16, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.59/0.93 thf(zf_stmt_9, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.59/0.93 thf(zip_derived_cl18, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.59/0.93 thf(zip_derived_cl1165, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl1146, zip_derived_cl18])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl1177, plain,
% 0.59/0.93 ((((sk_c8) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.59/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl1165, zip_derived_cl708])).
% 0.59/0.93 thf(zip_derived_cl1178, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1177])).
% 0.59/0.93 thf(zip_derived_cl1394, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.59/0.93 | ((sk_c8) = (sk_c7))
% 0.59/0.93 | ((sk_c8) = (sk_c7)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl1386, zip_derived_cl1178])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl1401, plain,
% 0.59/0.93 ((((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl1394, zip_derived_cl708])).
% 0.59/0.93 thf(zip_derived_cl1402, plain, (((sk_c8) = (sk_c7))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1401])).
% 0.59/0.93 thf(zip_derived_cl1425, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.93 (((inverse @ X0) != (sk_c8))
% 0.59/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.59/0.93 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 0.59/0.93 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 0.59/0.93 | ((inverse @ X2) != (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c8) != (sk_c8))
% 0.59/0.93 | ((inverse @ X3) != (sk_c8))
% 0.59/0.93 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.59/0.93 | ((multiply @ sk_c8 @ X4) != (inverse @ sk_c8))
% 0.59/0.93 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 0.59/0.93 | ((inverse @ X5) != (sk_c8)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl1402])).
% 0.59/0.93 thf(zip_derived_cl1426, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.93 (((inverse @ X0) != (sk_c8))
% 0.59/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.59/0.93 | ((multiply @ sk_c8 @ X1) != (sk_c8))
% 0.59/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 0.59/0.93 | ((inverse @ X2) != (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c8) != (sk_c8))
% 0.59/0.93 | ((inverse @ X3) != (sk_c8))
% 0.59/0.93 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.59/0.93 | ((multiply @ sk_c8 @ X4) != (sk_c8))
% 0.59/0.93 | ((multiply @ X5 @ sk_c8) != (sk_c8))
% 0.59/0.93 | ((inverse @ X5) != (sk_c8)))),
% 0.59/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl1425])).
% 0.59/0.93 thf(prove_this_2, conjecture,
% 0.59/0.93 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_10, negated_conjecture,
% 0.59/0.93 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.59/0.93 thf(zip_derived_cl4, plain,
% 0.59/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.59/0.93 thf(prove_this_3, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_11, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.59/0.93 thf(zip_derived_cl5, plain,
% 0.59/0.93 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl93, plain,
% 0.59/0.93 ((((sk_c7) = (multiply @ (inverse @ sk_c4) @ sk_c8))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl70])).
% 0.59/0.93 thf(zip_derived_cl300, plain,
% 0.59/0.93 ((((sk_c7) = (multiply @ sk_c8 @ sk_c8))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl93])).
% 0.59/0.93 thf(zip_derived_cl304, plain,
% 0.59/0.93 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c7) = (multiply @ sk_c8 @ sk_c8)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl300])).
% 0.59/0.93 thf(prove_this_6, conjecture,
% 0.59/0.93 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_12, negated_conjecture,
% 0.59/0.93 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.59/0.93 thf(zip_derived_cl8, plain,
% 0.59/0.93 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl38, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl86, plain,
% 0.59/0.93 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl70])).
% 0.59/0.93 thf(prove_this_5, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_13, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.59/0.93 thf(zip_derived_cl7, plain,
% 0.59/0.93 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.59/0.93 thf(zip_derived_cl126, plain,
% 0.59/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.59/0.93 = (sk_c6))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl7])).
% 0.59/0.93 thf(zip_derived_cl2, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.93 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.93 thf(zip_derived_cl0, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl130, plain,
% 0.59/0.93 ((((identity) = (sk_c6))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl126, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.93 zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl131, plain,
% 0.59/0.93 ((((inverse @ sk_c1) = (sk_c8)) | ((identity) = (sk_c6)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 0.59/0.93 thf(prove_this_4, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_14, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.59/0.93 thf(zip_derived_cl6, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.59/0.93 thf(zip_derived_cl134, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl6])).
% 0.59/0.93 thf(zip_derived_cl136, plain,
% 0.59/0.93 ((((inverse @ sk_c1) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 0.59/0.93 thf(zip_derived_cl312, plain,
% 0.59/0.93 ((((multiply @ sk_c8 @ identity) = (multiply @ sk_c8 @ sk_c8))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl304, zip_derived_cl136])).
% 0.59/0.93 thf(zip_derived_cl317, plain,
% 0.59/0.93 ((((inverse @ sk_c1) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c8 @ identity) = (multiply @ sk_c8 @ sk_c8)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl312])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl422, plain,
% 0.59/0.93 ((((sk_c8)
% 0.59/0.93 = (multiply @ (inverse @ sk_c8) @ (multiply @ sk_c8 @ identity)))
% 0.59/0.93 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl317, zip_derived_cl70])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl425, plain,
% 0.59/0.93 ((((sk_c8) = (identity)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl422, zip_derived_cl70])).
% 0.59/0.93 thf(prove_this_8, conjecture,
% 0.59/0.93 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_15, negated_conjecture,
% 0.59/0.93 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.59/0.93 thf(zip_derived_cl10, plain,
% 0.59/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.59/0.93 thf(zip_derived_cl751, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl708, zip_derived_cl81])).
% 0.59/0.93 thf(zip_derived_cl772, plain,
% 0.59/0.93 ((((sk_c4) = (inverse @ sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl751])).
% 0.59/0.93 thf(zip_derived_cl1402, plain, (((sk_c8) = (sk_c7))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1401])).
% 0.59/0.93 thf(zip_derived_cl1445, plain,
% 0.59/0.93 ((((sk_c4) = (inverse @ sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c8)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl772, zip_derived_cl1402])).
% 0.59/0.93 thf(prove_this_9, conjecture,
% 0.59/0.93 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.59/0.93 thf(zf_stmt_16, negated_conjecture,
% 0.59/0.93 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.59/0.93 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.59/0.93 thf(zip_derived_cl11, plain,
% 0.59/0.93 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.59/0.93 thf(zip_derived_cl1402, plain, (((sk_c8) = (sk_c7))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1401])).
% 0.59/0.93 thf(zip_derived_cl1402, plain, (((sk_c8) = (sk_c7))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl1401])).
% 0.59/0.93 thf(zip_derived_cl1409, plain,
% 0.59/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c8)))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl11, zip_derived_cl1402, zip_derived_cl1402])).
% 0.59/0.93 thf(zip_derived_cl2407, plain,
% 0.59/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl1445, zip_derived_cl1409])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl2410, plain,
% 0.59/0.93 ((((identity) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c8))
% 0.59/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c8)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl2407, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl2411, plain,
% 0.59/0.93 ((((multiply @ sk_c1 @ sk_c8) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2410])).
% 0.59/0.93 thf(zip_derived_cl2414, plain,
% 0.59/0.93 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.59/0.93 | ((sk_c8) = (identity))
% 0.59/0.93 | ((identity) = (sk_c8)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl2411])).
% 0.59/0.93 thf(zip_derived_cl751, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl708, zip_derived_cl81])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl764, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl751, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl2417, plain,
% 0.59/0.93 ((((identity) = (sk_c8))
% 0.59/0.93 | ((sk_c8) = (identity))
% 0.59/0.93 | ((identity) = (sk_c8)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl2414, zip_derived_cl764])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl0, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl0, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl80, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl70])).
% 0.59/0.93 thf(zip_derived_cl70, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.93 thf(zip_derived_cl110, plain,
% 0.59/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl70])).
% 0.59/0.93 thf(zip_derived_cl1, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.93 thf(zip_derived_cl623, plain, (((inverse @ identity) = (identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl0, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl708, plain,
% 0.59/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2418, plain, (((identity) = (sk_c8))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 0.59/0.93 thf(zip_derived_cl2483, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (X1))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((X2) != (identity))
% 0.59/0.93 | ((inverse @ X2) != (identity))
% 0.59/0.93 | ((identity) != (identity))
% 0.59/0.93 | ((inverse @ X3) != (identity))
% 0.59/0.93 | ((X3) != (X4))
% 0.59/0.93 | ((X4) != (identity))
% 0.59/0.93 | ((X5) != (identity))
% 0.59/0.93 | ((inverse @ X5) != (identity)))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl1426, zip_derived_cl2418, zip_derived_cl2418,
% 0.59/0.93 zip_derived_cl708, zip_derived_cl2418, zip_derived_cl0,
% 0.59/0.93 zip_derived_cl2418, zip_derived_cl2418, zip_derived_cl708,
% 0.59/0.93 zip_derived_cl2418, zip_derived_cl2418, zip_derived_cl2418,
% 0.59/0.93 zip_derived_cl623, zip_derived_cl2418, zip_derived_cl2418,
% 0.59/0.93 zip_derived_cl2418, zip_derived_cl708, zip_derived_cl2418,
% 0.59/0.93 zip_derived_cl0, zip_derived_cl2418, zip_derived_cl2418,
% 0.59/0.93 zip_derived_cl708, zip_derived_cl2418, zip_derived_cl2418])).
% 0.59/0.93 thf(zip_derived_cl2484, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.93 (((inverse @ X5) != (identity))
% 0.59/0.93 | ((X5) != (identity))
% 0.59/0.93 | ((X4) != (identity))
% 0.59/0.93 | ((X3) != (X4))
% 0.59/0.93 | ((inverse @ X3) != (identity))
% 0.59/0.93 | ((inverse @ X2) != (identity))
% 0.59/0.93 | ((X2) != (identity))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((X0) != (X1))
% 0.59/0.93 | ((inverse @ X0) != (identity)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2483])).
% 0.59/0.93 thf(zip_derived_cl2522, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (X1))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((X2) != (identity))
% 0.59/0.93 | ((inverse @ X2) != (identity))
% 0.59/0.93 | ((inverse @ X3) != (identity))
% 0.59/0.93 | ((X3) != (identity))
% 0.59/0.93 | ((X4) != (identity))
% 0.59/0.93 | ((inverse @ X4) != (identity)))),
% 0.59/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2484])).
% 0.59/0.93 thf(zip_derived_cl2523, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((inverse @ X1) != (identity))
% 0.59/0.93 | ((inverse @ X2) != (identity))
% 0.59/0.93 | ((X2) != (identity))
% 0.59/0.93 | ((X3) != (identity))
% 0.59/0.93 | ((inverse @ X3) != (identity)))),
% 0.59/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2522])).
% 0.59/0.93 thf(zip_derived_cl2524, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((inverse @ X1) != (identity))
% 0.59/0.93 | ((inverse @ X2) != (identity))
% 0.59/0.93 | ((X2) != (identity))
% 0.59/0.93 | ((inverse @ identity) != (identity)))),
% 0.59/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2523])).
% 0.59/0.93 thf(zip_derived_cl623, plain, (((inverse @ identity) = (identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl2525, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((inverse @ X1) != (identity))
% 0.59/0.93 | ((inverse @ X2) != (identity))
% 0.59/0.93 | ((X2) != (identity))
% 0.59/0.93 | ((identity) != (identity)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl2524, zip_derived_cl623])).
% 0.59/0.93 thf(zip_derived_cl2526, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 (((X2) != (identity))
% 0.59/0.93 | ((inverse @ X2) != (identity))
% 0.59/0.93 | ((inverse @ X1) != (identity))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((inverse @ X0) != (identity)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2525])).
% 0.59/0.93 thf(zip_derived_cl2527, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((inverse @ X1) != (identity))
% 0.59/0.93 | ((inverse @ identity) != (identity)))),
% 0.59/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2526])).
% 0.59/0.93 thf(zip_derived_cl623, plain, (((inverse @ identity) = (identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl2528, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((inverse @ X1) != (identity))
% 0.59/0.93 | ((identity) != (identity)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl2527, zip_derived_cl623])).
% 0.59/0.93 thf(zip_derived_cl2529, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (((inverse @ X1) != (identity))
% 0.59/0.93 | ((X1) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((inverse @ X0) != (identity)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2528])).
% 0.59/0.93 thf(zip_derived_cl2530, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((inverse @ identity) != (identity)))),
% 0.59/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2529])).
% 0.59/0.93 thf(zip_derived_cl623, plain, (((inverse @ identity) = (identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl2531, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (((inverse @ X0) != (identity))
% 0.59/0.93 | ((X0) != (identity))
% 0.59/0.93 | ((identity) != (identity)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl2530, zip_derived_cl623])).
% 0.59/0.93 thf(zip_derived_cl2532, plain,
% 0.59/0.93 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2531])).
% 0.59/0.93 thf(zip_derived_cl2557, plain, (((inverse @ identity) != (identity))),
% 0.59/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2532])).
% 0.59/0.93 thf(zip_derived_cl623, plain, (((inverse @ identity) = (identity))),
% 0.59/0.93 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.59/0.93 thf(zip_derived_cl2558, plain, (((identity) != (identity))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl2557, zip_derived_cl623])).
% 0.59/0.93 thf(zip_derived_cl2559, plain, ($false),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl2558])).
% 0.59/0.93
% 0.59/0.93 % SZS output end Refutation
% 0.59/0.93
% 0.59/0.93
% 0.59/0.93 % Terminating...
% 0.59/0.97 % Runner terminated.
% 0.59/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------