TSTP Solution File: GRP372-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP372-1 : 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.BnmZjLH4qZ true
% Computer : n016.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 01:51:24 EDT 2023
% Result : Unsatisfiable 0.58s 0.93s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP372-1 : 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.BnmZjLH4qZ true
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:20:00 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.93 % Solved by fo/fo7.sh.
% 0.58/0.93 % done 386 iterations in 0.139s
% 0.58/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.93 % SZS output start Refutation
% 0.58/0.93 thf(sk_c1_type, type, sk_c1: $i).
% 0.58/0.93 thf(sk_c6_type, type, sk_c6: $i).
% 0.58/0.93 thf(sk_c4_type, type, sk_c4: $i).
% 0.58/0.93 thf(sk_c5_type, type, sk_c5: $i).
% 0.58/0.93 thf(identity_type, type, identity: $i).
% 0.58/0.93 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.93 thf(sk_c7_type, type, sk_c7: $i).
% 0.58/0.93 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.93 thf(sk_c3_type, type, sk_c3: $i).
% 0.58/0.93 thf(sk_c2_type, type, sk_c2: $i).
% 0.58/0.93 thf(sk_c8_type, type, sk_c8: $i).
% 0.58/0.93 thf(prove_this_37, conjecture,
% 0.58/0.93 (~( ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.58/0.93 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.93 (( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.58/0.93 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 0.58/0.93 thf(zip_derived_cl39, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.93 (((inverse @ X0) != (sk_c8))
% 0.58/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.58/0.93 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 0.58/0.93 | ((inverse @ X2) != (sk_c8))
% 0.58/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6))
% 0.58/0.93 | ((inverse @ X3) != (sk_c7))
% 0.58/0.93 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) != (sk_c7))
% 0.58/0.93 | ((inverse @ X4) != (sk_c8))
% 0.58/0.93 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.58/0.93 | ((inverse @ sk_c8) != (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.93 thf(zip_derived_cl40, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.93 (((inverse @ X0) != (sk_c8))
% 0.58/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.58/0.93 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 0.58/0.93 | ((inverse @ X2) != (sk_c8))
% 0.58/0.93 | ((multiply @ X2 @ sk_c8) != (inverse @ sk_c8))
% 0.58/0.93 | ((multiply @ sk_c8 @ (inverse @ sk_c8)) != (sk_c6))
% 0.58/0.93 | ((inverse @ X3) != (inverse @ sk_c8))
% 0.58/0.93 | ((multiply @ X3 @ (inverse @ sk_c8))
% 0.58/0.93 != (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 0.58/0.93 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 0.58/0.93 != (inverse @ sk_c8))
% 0.58/0.93 | ((inverse @ X4) != (sk_c8))
% 0.58/0.93 | ((multiply @ X4 @ sk_c8) != (inverse @ sk_c8))
% 0.58/0.93 | ((inverse @ sk_c8) != (sk_c7)))),
% 0.58/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 0.58/0.93 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(associativity, axiom,
% 0.58/0.93 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.58/0.93 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.58/0.93 thf(zip_derived_cl2, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.93 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.93 thf(zip_derived_cl61, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((multiply @ identity @ X0)
% 0.58/0.93 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.58/0.93 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.58/0.93 thf(zip_derived_cl0, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl114, plain,
% 0.58/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl81])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl111, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl81])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl114, plain,
% 0.58/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl81])).
% 0.58/0.93 thf(zip_derived_cl787, plain,
% 0.58/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl114])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl920, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl787, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl920, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl787, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl920, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl787, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl1156, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.93 (((inverse @ X0) != (sk_c8))
% 0.58/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.58/0.93 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 0.58/0.93 | ((inverse @ X2) != (sk_c8))
% 0.58/0.93 | ((multiply @ X2 @ sk_c8) != (inverse @ sk_c8))
% 0.58/0.93 | ((identity) != (sk_c6))
% 0.58/0.93 | ((inverse @ X3) != (inverse @ sk_c8))
% 0.58/0.93 | ((multiply @ X3 @ (inverse @ sk_c8)) != (identity))
% 0.58/0.93 | ((sk_c8) != (inverse @ sk_c8))
% 0.58/0.93 | ((inverse @ X4) != (sk_c8))
% 0.58/0.93 | ((multiply @ X4 @ sk_c8) != (inverse @ sk_c8))
% 0.58/0.93 | ((inverse @ sk_c8) != (sk_c7)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl40, zip_derived_cl920, zip_derived_cl920,
% 0.58/0.93 zip_derived_cl920, zip_derived_cl737])).
% 0.58/0.93 thf(zip_derived_cl1157, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.93 (((inverse @ X0) != (sk_c8))
% 0.58/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.58/0.93 | ((multiply @ sk_c8 @ X1) != (sk_c8))
% 0.58/0.93 | ((inverse @ X2) != (sk_c8))
% 0.58/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 0.58/0.93 | ((identity) != (sk_c6))
% 0.58/0.93 | ((inverse @ X3) != (sk_c8))
% 0.58/0.93 | ((multiply @ X3 @ sk_c8) != (identity))
% 0.58/0.93 | ((sk_c8) != (inverse @ sk_c8))
% 0.58/0.93 | ((inverse @ X4) != (sk_c8))
% 0.58/0.93 | ((multiply @ X4 @ sk_c8) != (sk_c8))
% 0.58/0.93 | ((sk_c8) != (sk_c7)))),
% 0.58/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl1156])).
% 0.58/0.93 thf(prove_this_6, conjecture,
% 0.58/0.93 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_1, negated_conjecture,
% 0.58/0.93 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.58/0.93 thf(zip_derived_cl8, plain,
% 0.58/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl42, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.58/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl121, plain,
% 0.58/0.93 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.58/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl81])).
% 0.58/0.93 thf(prove_this_5, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_2, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.58/0.93 thf(zip_derived_cl7, plain,
% 0.58/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((inverse @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/0.93 thf(zip_derived_cl195, plain,
% 0.58/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.58/0.93 = (sk_c5))
% 0.58/0.93 | ((inverse @ sk_c8) = (sk_c7))
% 0.58/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl7])).
% 0.58/0.93 thf(zip_derived_cl2, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.93 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.93 thf(zip_derived_cl0, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl200, plain,
% 0.58/0.93 ((((identity) = (sk_c5))
% 0.58/0.93 | ((inverse @ sk_c8) = (sk_c7))
% 0.58/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl195, zip_derived_cl2, zip_derived_cl0,
% 0.58/0.93 zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl201, plain,
% 0.58/0.93 ((((inverse @ sk_c8) = (sk_c7)) | ((identity) = (sk_c5)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl200])).
% 0.58/0.93 thf(prove_this_4, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_3, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.58/0.93 thf(zip_derived_cl6, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/0.93 thf(zip_derived_cl205, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.58/0.93 | ((inverse @ sk_c8) = (sk_c7))
% 0.58/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl6])).
% 0.58/0.93 thf(zip_derived_cl208, plain,
% 0.58/0.93 ((((inverse @ sk_c8) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl205])).
% 0.58/0.93 thf(prove_this_31, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_4, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.58/0.93 thf(zip_derived_cl33, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl46, plain,
% 0.58/0.93 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl128, plain,
% 0.58/0.93 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl81])).
% 0.58/0.93 thf(prove_this_25, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.58/0.93 thf(zf_stmt_5, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.58/0.93 thf(zip_derived_cl27, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.58/0.93 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.58/0.93 thf(zip_derived_cl504, plain,
% 0.58/0.93 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.58/0.93 = (sk_c6))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl27])).
% 0.58/0.93 thf(zip_derived_cl2, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.93 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.93 thf(zip_derived_cl0, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl522, plain,
% 0.58/0.93 ((((identity) = (sk_c6))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl504, zip_derived_cl2, zip_derived_cl0,
% 0.58/0.93 zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl523, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.58/0.93 thf(zip_derived_cl535, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 0.58/0.93 inference('eq_fact', [status(thm)], [zip_derived_cl523])).
% 0.58/0.93 thf(zip_derived_cl537, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ (inverse @ sk_c8)) != (identity))
% 0.58/0.93 | ((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.58/0.93 | ((identity) = (sk_c6)))),
% 0.58/0.93 inference('sup-', [status(thm)], [zip_derived_cl208, zip_derived_cl535])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl780, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ (inverse @ sk_c8)) != (identity))
% 0.58/0.93 | ((sk_c8) = (sk_c7))
% 0.58/0.93 | ((identity) = (sk_c6)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl537, zip_derived_cl737])).
% 0.58/0.93 thf(zip_derived_cl920, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl787, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl1161, plain,
% 0.58/0.93 ((((identity) != (identity))
% 0.58/0.93 | ((sk_c8) = (sk_c7))
% 0.58/0.93 | ((identity) = (sk_c6)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl780, zip_derived_cl920])).
% 0.58/0.93 thf(zip_derived_cl1162, plain,
% 0.58/0.93 ((((identity) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl1161])).
% 0.58/0.93 thf(prove_this_24, conjecture,
% 0.58/0.93 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_6, negated_conjecture,
% 0.58/0.93 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.58/0.93 thf(zip_derived_cl26, plain,
% 0.58/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.58/0.93 thf(zip_derived_cl787, plain,
% 0.58/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl114])).
% 0.58/0.93 thf(zip_derived_cl930, plain,
% 0.58/0.93 ((((sk_c4) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl787])).
% 0.58/0.93 thf(prove_this_23, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_7, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.58/0.93 thf(zip_derived_cl25, plain,
% 0.58/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.58/0.93 thf(zip_derived_cl1562, plain,
% 0.58/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c5))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl930, zip_derived_cl25])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl1577, plain,
% 0.58/0.93 ((((identity) = (sk_c5))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl1562, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl1578, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c5)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl1577])).
% 0.58/0.93 thf(prove_this_22, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_8, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.58/0.93 thf(zip_derived_cl24, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.58/0.93 thf(zip_derived_cl1596, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl1578, zip_derived_cl24])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl1602, plain,
% 0.58/0.93 ((((sk_c8) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl1596, zip_derived_cl737])).
% 0.58/0.93 thf(zip_derived_cl1603, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl1602])).
% 0.58/0.93 thf(zip_derived_cl2074, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.58/0.93 | ((sk_c8) = (sk_c7))
% 0.58/0.93 | ((sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl1162, zip_derived_cl1603])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl2081, plain,
% 0.58/0.93 ((((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl2074, zip_derived_cl737])).
% 0.58/0.93 thf(zip_derived_cl2082, plain, (((sk_c8) = (sk_c7))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2081])).
% 0.58/0.93 thf(zip_derived_cl2165, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.93 (((inverse @ X0) != (sk_c8))
% 0.58/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.58/0.93 | ((multiply @ sk_c8 @ X1) != (sk_c8))
% 0.58/0.93 | ((inverse @ X2) != (sk_c8))
% 0.58/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 0.58/0.93 | ((identity) != (sk_c6))
% 0.58/0.93 | ((inverse @ X3) != (sk_c8))
% 0.58/0.93 | ((multiply @ X3 @ sk_c8) != (identity))
% 0.58/0.93 | ((sk_c8) != (inverse @ sk_c8))
% 0.58/0.93 | ((inverse @ X4) != (sk_c8))
% 0.58/0.93 | ((multiply @ X4 @ sk_c8) != (sk_c8))
% 0.58/0.93 | ((sk_c8) != (sk_c8)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl1157, zip_derived_cl2082])).
% 0.58/0.93 thf(zip_derived_cl2166, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.93 (((multiply @ X4 @ sk_c8) != (sk_c8))
% 0.58/0.93 | ((inverse @ X4) != (sk_c8))
% 0.58/0.93 | ((sk_c8) != (inverse @ sk_c8))
% 0.58/0.93 | ((multiply @ X3 @ sk_c8) != (identity))
% 0.58/0.93 | ((inverse @ X3) != (sk_c8))
% 0.58/0.93 | ((identity) != (sk_c6))
% 0.58/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 0.58/0.93 | ((inverse @ X2) != (sk_c8))
% 0.58/0.93 | ((multiply @ sk_c8 @ X1) != (sk_c8))
% 0.58/0.93 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.58/0.93 | ((inverse @ X0) != (sk_c8)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2165])).
% 0.58/0.93 thf(prove_this_15, conjecture,
% 0.58/0.93 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.58/0.93 thf(zf_stmt_9, negated_conjecture,
% 0.58/0.93 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.58/0.93 thf(zip_derived_cl17, plain,
% 0.58/0.93 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl44, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.58/0.93 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl123, plain,
% 0.58/0.93 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.58/0.93 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl81])).
% 0.58/0.93 thf(prove_this_9, conjecture,
% 0.58/0.93 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_10, negated_conjecture,
% 0.58/0.93 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.58/0.93 thf(zip_derived_cl11, plain,
% 0.58/0.93 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.58/0.93 thf(zip_derived_cl384, plain,
% 0.58/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.58/0.93 = (sk_c7))
% 0.58/0.93 | ((inverse @ sk_c3) = (sk_c8))
% 0.58/0.93 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl11])).
% 0.58/0.93 thf(zip_derived_cl2, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.93 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.93 thf(zip_derived_cl0, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl402, plain,
% 0.58/0.93 ((((identity) = (sk_c7))
% 0.58/0.93 | ((inverse @ sk_c3) = (sk_c8))
% 0.58/0.93 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl384, zip_derived_cl2, zip_derived_cl0,
% 0.58/0.93 zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl403, plain,
% 0.58/0.93 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl402])).
% 0.58/0.93 thf(zip_derived_cl114, plain,
% 0.58/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl81])).
% 0.58/0.93 thf(zip_derived_cl410, plain,
% 0.58/0.93 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.58/0.93 | ((identity) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl114])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl777, plain,
% 0.58/0.93 ((((sk_c3) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl410, zip_derived_cl737])).
% 0.58/0.93 thf(zip_derived_cl2082, plain, (((sk_c8) = (sk_c7))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2081])).
% 0.58/0.93 thf(zip_derived_cl2158, plain,
% 0.58/0.93 ((((sk_c3) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl2082])).
% 0.58/0.93 thf(prove_this_14, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.58/0.93 thf(zf_stmt_11, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.58/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.58/0.93 thf(zip_derived_cl16, plain,
% 0.58/0.93 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.58/0.93 thf(zip_derived_cl787, plain,
% 0.58/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl114])).
% 0.58/0.93 thf(zip_derived_cl934, plain,
% 0.58/0.93 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl787])).
% 0.58/0.93 thf(prove_this_8, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_12, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.58/0.93 thf(zip_derived_cl10, plain,
% 0.58/0.93 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.58/0.93 thf(zip_derived_cl1615, plain,
% 0.58/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl934, zip_derived_cl10])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl1633, plain,
% 0.58/0.93 ((((identity) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.58/0.93 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl1615, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl1634, plain,
% 0.58/0.93 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 0.58/0.93 thf(zip_derived_cl2082, plain, (((sk_c8) = (sk_c7))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2081])).
% 0.58/0.93 thf(zip_derived_cl2082, plain, (((sk_c8) = (sk_c7))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2081])).
% 0.58/0.93 thf(zip_derived_cl2254, plain,
% 0.58/0.93 ((((multiply @ sk_c3 @ sk_c8) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl1634, zip_derived_cl2082, zip_derived_cl2082])).
% 0.58/0.93 thf(zip_derived_cl2259, plain,
% 0.58/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 0.58/0.93 | ((identity) = (sk_c8))
% 0.58/0.93 | ((identity) = (sk_c8)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl2254])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl2262, plain,
% 0.58/0.93 ((((identity) = (sk_c8))
% 0.58/0.93 | ((identity) = (sk_c8))
% 0.58/0.93 | ((identity) = (sk_c8)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl2259, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl0, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl113, plain,
% 0.58/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl81])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl166, plain,
% 0.58/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl81])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl724, plain, (((inverse @ identity) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl0, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl737, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl111])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2301, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.93 (((X4) != (identity))
% 0.58/0.93 | ((inverse @ X4) != (identity))
% 0.58/0.93 | ((identity) != (identity))
% 0.58/0.93 | ((X3) != (identity))
% 0.58/0.93 | ((inverse @ X3) != (identity))
% 0.58/0.93 | ((identity) != (sk_c6))
% 0.58/0.93 | ((X2) != (identity))
% 0.58/0.93 | ((inverse @ X2) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((X0) != (X1))
% 0.58/0.93 | ((inverse @ X0) != (identity)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl2166, zip_derived_cl2263, zip_derived_cl737,
% 0.58/0.93 zip_derived_cl2263, zip_derived_cl2263, zip_derived_cl2263,
% 0.58/0.93 zip_derived_cl2263, zip_derived_cl724, zip_derived_cl2263,
% 0.58/0.93 zip_derived_cl737, zip_derived_cl2263, zip_derived_cl2263,
% 0.58/0.93 zip_derived_cl737, zip_derived_cl2263, zip_derived_cl2263,
% 0.58/0.93 zip_derived_cl2263, zip_derived_cl0, zip_derived_cl2263,
% 0.58/0.93 zip_derived_cl2263, zip_derived_cl737, zip_derived_cl2263])).
% 0.58/0.93 thf(zip_derived_cl2302, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.93 (((inverse @ X0) != (identity))
% 0.58/0.93 | ((X0) != (X1))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X2) != (identity))
% 0.58/0.93 | ((X2) != (identity))
% 0.58/0.93 | ((identity) != (sk_c6))
% 0.58/0.93 | ((inverse @ X3) != (identity))
% 0.58/0.93 | ((X3) != (identity))
% 0.58/0.93 | ((inverse @ X4) != (identity))
% 0.58/0.93 | ((X4) != (identity)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2301])).
% 0.58/0.93 thf(zip_derived_cl2304, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.93 (((X0) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X1) != (identity))
% 0.58/0.93 | ((identity) != (sk_c6))
% 0.58/0.93 | ((X2) != (identity))
% 0.58/0.93 | ((inverse @ X2) != (identity))
% 0.58/0.93 | ((X3) != (identity))
% 0.58/0.93 | ((inverse @ X3) != (identity)))),
% 0.58/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2302])).
% 0.58/0.93 thf(prove_this_19, conjecture,
% 0.58/0.93 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.58/0.93 thf(zf_stmt_13, negated_conjecture,
% 0.58/0.93 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.58/0.93 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) )),
% 0.58/0.93 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.58/0.93 thf(zip_derived_cl21, plain,
% 0.58/0.93 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.58/0.93 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.58/0.93 thf(zip_derived_cl81, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl116, plain,
% 0.58/0.93 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 0.58/0.93 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl81])).
% 0.58/0.93 thf(zip_derived_cl2082, plain, (((sk_c8) = (sk_c7))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2081])).
% 0.58/0.93 thf(zip_derived_cl1, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.93 thf(zip_derived_cl2082, plain, (((sk_c8) = (sk_c7))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2081])).
% 0.58/0.93 thf(zip_derived_cl2132, plain,
% 0.58/0.93 ((((sk_c6) = (identity)) | ((multiply @ sk_c8 @ sk_c8) = (sk_c6)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl116, zip_derived_cl2082, zip_derived_cl1,
% 0.58/0.93 zip_derived_cl2082])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl2263, plain, (((identity) = (sk_c8))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2262])).
% 0.58/0.93 thf(zip_derived_cl0, plain,
% 0.58/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.93 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.93 thf(zip_derived_cl2295, plain,
% 0.58/0.93 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl2132, zip_derived_cl2263, zip_derived_cl2263,
% 0.58/0.93 zip_derived_cl0])).
% 0.58/0.93 thf(zip_derived_cl2296, plain, (((sk_c6) = (identity))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2295])).
% 0.58/0.93 thf(zip_derived_cl2307, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.93 (((X0) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X1) != (identity))
% 0.58/0.93 | ((identity) != (identity))
% 0.58/0.93 | ((X2) != (identity))
% 0.58/0.93 | ((inverse @ X2) != (identity))
% 0.58/0.93 | ((X3) != (identity))
% 0.58/0.93 | ((inverse @ X3) != (identity)))),
% 0.58/0.93 inference('demod', [status(thm)],
% 0.58/0.93 [zip_derived_cl2304, zip_derived_cl2296])).
% 0.58/0.93 thf(zip_derived_cl2308, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.93 (((inverse @ X3) != (identity))
% 0.58/0.93 | ((X3) != (identity))
% 0.58/0.93 | ((inverse @ X2) != (identity))
% 0.58/0.93 | ((X2) != (identity))
% 0.58/0.93 | ((inverse @ X1) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X0) != (identity)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2307])).
% 0.58/0.93 thf(zip_derived_cl2309, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.93 (((X0) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X1) != (identity))
% 0.58/0.93 | ((X2) != (identity))
% 0.58/0.93 | ((inverse @ X2) != (identity))
% 0.58/0.93 | ((inverse @ identity) != (identity)))),
% 0.58/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2308])).
% 0.58/0.93 thf(zip_derived_cl724, plain, (((inverse @ identity) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl2310, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.93 (((X0) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X1) != (identity))
% 0.58/0.93 | ((X2) != (identity))
% 0.58/0.93 | ((inverse @ X2) != (identity))
% 0.58/0.93 | ((identity) != (identity)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl2309, zip_derived_cl724])).
% 0.58/0.93 thf(zip_derived_cl2311, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.93 (((inverse @ X2) != (identity))
% 0.58/0.93 | ((X2) != (identity))
% 0.58/0.93 | ((inverse @ X1) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X0) != (identity)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2310])).
% 0.58/0.93 thf(zip_derived_cl2345, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 (((X0) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X1) != (identity))
% 0.58/0.93 | ((inverse @ identity) != (identity)))),
% 0.58/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2311])).
% 0.58/0.93 thf(zip_derived_cl724, plain, (((inverse @ identity) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl2346, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 (((X0) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X1) != (identity))
% 0.58/0.93 | ((identity) != (identity)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl2345, zip_derived_cl724])).
% 0.58/0.93 thf(zip_derived_cl2347, plain,
% 0.58/0.93 (![X0 : $i, X1 : $i]:
% 0.58/0.93 (((inverse @ X1) != (identity))
% 0.58/0.93 | ((X1) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((X0) != (identity)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2346])).
% 0.58/0.93 thf(zip_derived_cl2348, plain,
% 0.58/0.93 (![X0 : $i]:
% 0.58/0.93 (((X0) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((inverse @ identity) != (identity)))),
% 0.58/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2347])).
% 0.58/0.93 thf(zip_derived_cl724, plain, (((inverse @ identity) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl2349, plain,
% 0.58/0.93 (![X0 : $i]:
% 0.58/0.93 (((X0) != (identity))
% 0.58/0.93 | ((inverse @ X0) != (identity))
% 0.58/0.93 | ((identity) != (identity)))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl2348, zip_derived_cl724])).
% 0.58/0.93 thf(zip_derived_cl2350, plain,
% 0.58/0.93 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2349])).
% 0.58/0.93 thf(zip_derived_cl2351, plain, (((inverse @ identity) != (identity))),
% 0.58/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2350])).
% 0.58/0.93 thf(zip_derived_cl724, plain, (((inverse @ identity) = (identity))),
% 0.58/0.93 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl1])).
% 0.58/0.93 thf(zip_derived_cl2352, plain, (((identity) != (identity))),
% 0.58/0.93 inference('demod', [status(thm)], [zip_derived_cl2351, zip_derived_cl724])).
% 0.58/0.93 thf(zip_derived_cl2353, plain, ($false),
% 0.58/0.93 inference('simplify', [status(thm)], [zip_derived_cl2352])).
% 0.58/0.93
% 0.58/0.93 % SZS output end Refutation
% 0.58/0.93
% 0.58/0.93
% 0.58/0.93 % Terminating...
% 0.62/1.04 % Runner terminated.
% 1.61/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------