TSTP Solution File: GRP295-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FPVD4qlLA1 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 01:51:05 EDT 2023
% Result : Unsatisfiable 0.55s 0.91s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FPVD4qlLA1 true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:22:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.91 % Solved by fo/fo7.sh.
% 0.55/0.91 % done 363 iterations in 0.127s
% 0.55/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.91 % SZS output start Refutation
% 0.55/0.91 thf(sk_c2_type, type, sk_c2: $i).
% 0.55/0.91 thf(sk_c5_type, type, sk_c5: $i).
% 0.55/0.91 thf(sk_c1_type, type, sk_c1: $i).
% 0.55/0.91 thf(sk_c4_type, type, sk_c4: $i).
% 0.55/0.91 thf(identity_type, type, identity: $i).
% 0.55/0.91 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.55/0.91 thf(sk_c6_type, type, sk_c6: $i).
% 0.55/0.91 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.91 thf(sk_c3_type, type, sk_c3: $i).
% 0.55/0.91 thf(sk_c7_type, type, sk_c7: $i).
% 0.55/0.91 thf(prove_this_31, conjecture,
% 0.55/0.91 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.91 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.55/0.91 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.55/0.91 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.91 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.91 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.55/0.91 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.55/0.91 thf(zip_derived_cl33, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.91 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.55/0.91 | ((inverse @ X0) != (sk_c6))
% 0.55/0.91 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.55/0.91 | ((inverse @ X1) != (sk_c7))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.55/0.91 | ((inverse @ X2) != (sk_c7))
% 0.55/0.91 | ((multiply @ X2 @ sk_c7) != (sk_c5))
% 0.55/0.91 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 0.55/0.91 | ((inverse @ X3) != (sk_c7))
% 0.55/0.91 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.91 thf(zip_derived_cl34, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.91 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.55/0.91 | ((inverse @ X0) != (sk_c6))
% 0.55/0.91 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.55/0.91 | ((inverse @ X1) != (sk_c7))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.55/0.91 | ((inverse @ X2) != (sk_c7))
% 0.55/0.91 | ((multiply @ X2 @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.91 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.55/0.91 | ((inverse @ X3) != (sk_c7))
% 0.55/0.91 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.55/0.91 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.55/0.91 thf(prove_this_12, conjecture,
% 0.55/0.91 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.55/0.91 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.91 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.55/0.91 thf(zip_derived_cl14, plain,
% 0.55/0.91 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.91 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl42, plain,
% 0.55/0.91 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.55/0.91 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(associativity, axiom,
% 0.55/0.91 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.55/0.91 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.55/0.91 thf(zip_derived_cl2, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.91 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.91 thf(zip_derived_cl59, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((multiply @ identity @ X0)
% 0.55/0.91 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.55/0.91 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.55/0.91 thf(zip_derived_cl0, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl97, plain,
% 0.55/0.91 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.91 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl78])).
% 0.55/0.91 thf(prove_this_7, conjecture,
% 0.55/0.91 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.55/0.91 thf(zf_stmt_2, negated_conjecture,
% 0.55/0.91 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.55/0.91 thf(zip_derived_cl9, plain,
% 0.55/0.91 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.91 thf(zip_derived_cl224, plain,
% 0.55/0.91 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.55/0.91 = (sk_c6))
% 0.55/0.91 | ((inverse @ sk_c3) = (sk_c7))
% 0.55/0.91 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl9])).
% 0.55/0.91 thf(zip_derived_cl2, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.91 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.91 thf(zip_derived_cl0, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl237, plain,
% 0.55/0.91 ((((identity) = (sk_c6))
% 0.55/0.91 | ((inverse @ sk_c3) = (sk_c7))
% 0.55/0.91 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.55/0.91 inference('demod', [status(thm)],
% 0.55/0.91 [zip_derived_cl224, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.91 zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl238, plain,
% 0.55/0.91 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl237])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl244, plain,
% 0.55/0.91 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl321, plain,
% 0.55/0.91 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.91 | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl78])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl92, plain,
% 0.55/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl89, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl78])).
% 0.55/0.91 thf(zip_derived_cl483, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.55/0.91 thf(zip_derived_cl516, plain,
% 0.55/0.91 ((((sk_c3) = (inverse @ sk_c7)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl321, zip_derived_cl483])).
% 0.55/0.91 thf(prove_this_14, conjecture,
% 0.55/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.55/0.91 thf(zf_stmt_3, negated_conjecture,
% 0.55/0.91 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.55/0.91 thf(zip_derived_cl16, plain,
% 0.55/0.91 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl43, plain,
% 0.55/0.91 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl98, plain,
% 0.55/0.91 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl78])).
% 0.55/0.91 thf(prove_this_9, conjecture,
% 0.55/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.55/0.91 thf(zf_stmt_4, negated_conjecture,
% 0.55/0.91 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.55/0.91 thf(zip_derived_cl11, plain,
% 0.55/0.91 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.91 thf(zip_derived_cl141, plain,
% 0.55/0.91 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.55/0.91 = (sk_c6))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl11])).
% 0.55/0.91 thf(zip_derived_cl2, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.91 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.91 thf(zip_derived_cl0, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl154, plain,
% 0.55/0.91 ((((identity) = (sk_c6))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.55/0.91 inference('demod', [status(thm)],
% 0.55/0.91 [zip_derived_cl141, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.91 zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl155, plain,
% 0.55/0.91 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl154])).
% 0.55/0.91 thf(prove_this_15, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.55/0.91 thf(zf_stmt_5, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.55/0.91 thf(zip_derived_cl17, plain,
% 0.55/0.91 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.91 thf(zip_derived_cl483, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.55/0.91 thf(zip_derived_cl92, plain,
% 0.55/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 0.55/0.91 thf(zip_derived_cl531, plain,
% 0.55/0.91 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl92])).
% 0.55/0.91 thf(zip_derived_cl764, plain,
% 0.55/0.91 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl531])).
% 0.55/0.91 thf(prove_this_10, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.55/0.91 thf(zf_stmt_6, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.55/0.91 thf(zip_derived_cl12, plain,
% 0.55/0.91 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/0.91 thf(zip_derived_cl853, plain,
% 0.55/0.91 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl764, zip_derived_cl12])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl868, plain,
% 0.55/0.91 ((((identity) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl853, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl869, plain,
% 0.55/0.91 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl868])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl1067, plain,
% 0.55/0.91 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 0.55/0.91 | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl869, zip_derived_cl78])).
% 0.55/0.91 thf(zip_derived_cl1380, plain,
% 0.55/0.91 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.55/0.91 | ((identity) = (sk_c6))
% 0.55/0.91 | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl1067])).
% 0.55/0.91 thf(zip_derived_cl1386, plain,
% 0.55/0.91 ((((identity) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl1380])).
% 0.55/0.91 thf(prove_this_11, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.55/0.91 thf(zf_stmt_7, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.55/0.91 thf(zip_derived_cl13, plain,
% 0.55/0.91 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl41, plain,
% 0.55/0.91 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl96, plain,
% 0.55/0.91 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl78])).
% 0.55/0.91 thf(prove_this_6, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.55/0.91 thf(zf_stmt_8, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.55/0.91 thf(zip_derived_cl8, plain,
% 0.55/0.91 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.55/0.91 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.55/0.91 thf(zip_derived_cl197, plain,
% 0.55/0.91 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.55/0.91 = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl8])).
% 0.55/0.91 thf(zip_derived_cl2, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.91 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.91 thf(zip_derived_cl0, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl210, plain,
% 0.55/0.91 ((((identity) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.55/0.91 inference('demod', [status(thm)],
% 0.55/0.91 [zip_derived_cl197, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.91 zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl211, plain,
% 0.55/0.91 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl210])).
% 0.55/0.91 thf(zip_derived_cl1437, plain,
% 0.55/0.91 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.55/0.91 | ((identity) = (sk_c6))
% 0.55/0.91 | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl1386, zip_derived_cl211])).
% 0.55/0.91 thf(zip_derived_cl1443, plain,
% 0.55/0.91 ((((identity) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl1437])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl1644, plain,
% 0.55/0.91 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 0.55/0.91 | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl1443, zip_derived_cl78])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl1652, plain,
% 0.55/0.91 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl1644, zip_derived_cl78])).
% 0.55/0.91 thf(prove_this_13, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.55/0.91 thf(zf_stmt_9, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.55/0.91 thf(zip_derived_cl15, plain,
% 0.55/0.91 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/0.91 thf(zip_derived_cl531, plain,
% 0.55/0.91 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl92])).
% 0.55/0.91 thf(zip_derived_cl762, plain,
% 0.55/0.91 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl531])).
% 0.55/0.91 thf(prove_this_8, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.55/0.91 thf(zf_stmt_10, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.55/0.91 thf(zip_derived_cl10, plain,
% 0.55/0.91 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.55/0.91 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.91 thf(zip_derived_cl1000, plain,
% 0.55/0.91 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.55/0.91 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl762, zip_derived_cl10])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl1016, plain,
% 0.55/0.91 ((((identity) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.55/0.91 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl1000, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl1017, plain,
% 0.55/0.91 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl1016])).
% 0.55/0.91 thf(zip_derived_cl1663, plain,
% 0.55/0.91 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 0.55/0.91 | ((identity) = (sk_c6))
% 0.55/0.91 | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl1652, zip_derived_cl1017])).
% 0.55/0.91 thf(zip_derived_cl1677, plain,
% 0.55/0.91 ((((identity) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c7)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl1663])).
% 0.55/0.91 thf(zip_derived_cl1924, plain,
% 0.55/0.91 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 0.55/0.91 | ((identity) = (sk_c6))
% 0.55/0.91 | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl516, zip_derived_cl1677])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl1928, plain,
% 0.55/0.91 ((((identity) = (sk_c7))
% 0.55/0.91 | ((identity) = (sk_c6))
% 0.55/0.91 | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl1924, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl1929, plain,
% 0.55/0.91 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl1928])).
% 0.55/0.91 thf(zip_derived_cl1652, plain,
% 0.55/0.91 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl1644, zip_derived_cl78])).
% 0.55/0.91 thf(zip_derived_cl1672, plain,
% 0.55/0.91 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 0.55/0.91 inference('eq_fact', [status(thm)], [zip_derived_cl1652])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl483, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl483, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl0, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl483, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl483, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl483, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.55/0.91 thf(zip_derived_cl1962, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.91 (((multiply @ X0 @ sk_c7) != (identity))
% 0.55/0.91 | ((inverse @ X0) != (identity))
% 0.55/0.91 | ((X1) != (sk_c7))
% 0.55/0.91 | ((inverse @ X1) != (sk_c7))
% 0.55/0.91 | ((sk_c7) != (sk_c5))
% 0.55/0.91 | ((inverse @ X2) != (sk_c7))
% 0.55/0.91 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.55/0.91 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.55/0.91 | ((inverse @ X3) != (sk_c7))
% 0.55/0.91 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.55/0.91 | ((sk_c7) != (sk_c5)))),
% 0.55/0.91 inference('demod', [status(thm)],
% 0.55/0.91 [zip_derived_cl34, zip_derived_cl1933, zip_derived_cl483,
% 0.55/0.91 zip_derived_cl1933, zip_derived_cl1933, zip_derived_cl1933,
% 0.55/0.91 zip_derived_cl483, zip_derived_cl1933, zip_derived_cl0,
% 0.55/0.91 zip_derived_cl1933, zip_derived_cl483, zip_derived_cl1933,
% 0.55/0.91 zip_derived_cl483, zip_derived_cl1933, zip_derived_cl1933,
% 0.55/0.91 zip_derived_cl1933, zip_derived_cl483])).
% 0.55/0.91 thf(zip_derived_cl1963, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.91 (((multiply @ X3 @ sk_c7) != (identity))
% 0.55/0.91 | ((inverse @ X3) != (sk_c7))
% 0.55/0.91 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.55/0.91 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.55/0.91 | ((inverse @ X2) != (sk_c7))
% 0.55/0.91 | ((sk_c7) != (sk_c5))
% 0.55/0.91 | ((inverse @ X1) != (sk_c7))
% 0.55/0.91 | ((X1) != (sk_c7))
% 0.55/0.91 | ((inverse @ X0) != (identity))
% 0.55/0.91 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl1962])).
% 0.55/0.91 thf(prove_this_1, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.55/0.91 thf(zf_stmt_11, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.55/0.91 thf(zip_derived_cl3, plain,
% 0.55/0.91 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.55/0.91 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl0, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl483, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.55/0.91 thf(zip_derived_cl1934, plain, ((((sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c5)))),
% 0.55/0.91 inference('demod', [status(thm)],
% 0.55/0.91 [zip_derived_cl3, zip_derived_cl1933, zip_derived_cl0,
% 0.55/0.91 zip_derived_cl1933, zip_derived_cl483])).
% 0.55/0.91 thf(zip_derived_cl1935, plain, (((sk_c7) = (sk_c5))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl1934])).
% 0.55/0.91 thf(prove_this_29, conjecture,
% 0.55/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.55/0.91 thf(zf_stmt_12, negated_conjecture,
% 0.55/0.91 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.55/0.91 thf(zip_derived_cl31, plain,
% 0.55/0.91 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl46, plain,
% 0.55/0.91 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl101, plain,
% 0.55/0.91 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl78])).
% 0.55/0.91 thf(prove_this_24, conjecture,
% 0.55/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.55/0.91 thf(zf_stmt_13, negated_conjecture,
% 0.55/0.91 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.55/0.91 thf(zip_derived_cl26, plain,
% 0.55/0.91 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.55/0.91 thf(zip_derived_cl161, plain,
% 0.55/0.91 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.55/0.91 = (sk_c5))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl26])).
% 0.55/0.91 thf(zip_derived_cl2, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.91 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.91 thf(zip_derived_cl0, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl172, plain,
% 0.55/0.91 ((((identity) = (sk_c5))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6))
% 0.55/0.91 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.55/0.91 inference('demod', [status(thm)],
% 0.55/0.91 [zip_derived_cl161, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.91 zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl173, plain,
% 0.55/0.91 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.55/0.91 thf(prove_this_30, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.55/0.91 thf(zf_stmt_14, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.55/0.91 thf(zip_derived_cl32, plain,
% 0.55/0.91 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.55/0.91 thf(zip_derived_cl531, plain,
% 0.55/0.91 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl92])).
% 0.55/0.91 thf(zip_derived_cl769, plain,
% 0.55/0.91 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl531])).
% 0.55/0.91 thf(prove_this_25, conjecture,
% 0.55/0.91 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.55/0.91 thf(zf_stmt_15, negated_conjecture,
% 0.55/0.91 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 0.55/0.91 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.55/0.91 thf(zip_derived_cl27, plain,
% 0.55/0.91 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 0.55/0.91 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.55/0.91 thf(zip_derived_cl886, plain,
% 0.55/0.91 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c5))
% 0.55/0.91 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl769, zip_derived_cl27])).
% 0.55/0.91 thf(zip_derived_cl1, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.91 thf(zip_derived_cl899, plain,
% 0.55/0.91 ((((identity) = (sk_c5))
% 0.55/0.91 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.55/0.91 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl886, zip_derived_cl1])).
% 0.55/0.91 thf(zip_derived_cl900, plain,
% 0.55/0.91 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl899])).
% 0.55/0.91 thf(zip_derived_cl78, plain,
% 0.55/0.91 (![X0 : $i, X1 : $i]:
% 0.55/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.55/0.91 thf(zip_derived_cl1080, plain,
% 0.55/0.91 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 0.55/0.91 | ((identity) = (sk_c5)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl900, zip_derived_cl78])).
% 0.55/0.91 thf(zip_derived_cl1399, plain,
% 0.55/0.91 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.55/0.91 | ((identity) = (sk_c5))
% 0.55/0.91 | ((identity) = (sk_c5)))),
% 0.55/0.91 inference('sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl1080])).
% 0.55/0.91 thf(zip_derived_cl1404, plain,
% 0.55/0.91 ((((identity) = (sk_c5)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.55/0.91 inference('simplify', [status(thm)], [zip_derived_cl1399])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl1933, plain, (((identity) = (sk_c6))),
% 0.55/0.91 inference('clc', [status(thm)], [zip_derived_cl1929, zip_derived_cl1672])).
% 0.55/0.91 thf(zip_derived_cl0, plain,
% 0.55/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.91 thf(zip_derived_cl2007, plain,
% 0.55/0.91 ((((identity) = (sk_c5)) | ((sk_c5) = (identity)))),
% 0.55/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1404, zip_derived_cl1933, zip_derived_cl1933,
% 0.57/0.91 zip_derived_cl0])).
% 0.57/0.91 thf(zip_derived_cl2008, plain, (((identity) = (sk_c5))),
% 0.57/0.91 inference('simplify', [status(thm)], [zip_derived_cl2007])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl483, plain,
% 0.57/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl0, plain,
% 0.57/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl483, plain,
% 0.57/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl2008, plain, (((identity) = (sk_c5))),
% 0.57/0.91 inference('simplify', [status(thm)], [zip_derived_cl2007])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl2021, plain, (((sk_c7) = (identity))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1935, zip_derived_cl2008])).
% 0.57/0.91 thf(zip_derived_cl483, plain,
% 0.57/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.57/0.91 thf(zip_derived_cl2052, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.91 (((X3) != (identity))
% 0.57/0.91 | ((inverse @ X3) != (identity))
% 0.57/0.91 | ((identity) != (identity))
% 0.57/0.91 | ((X2) != (identity))
% 0.57/0.91 | ((inverse @ X2) != (identity))
% 0.57/0.91 | ((identity) != (identity))
% 0.57/0.91 | ((inverse @ X1) != (identity))
% 0.57/0.91 | ((X1) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((X0) != (identity)))),
% 0.57/0.91 inference('demod', [status(thm)],
% 0.57/0.91 [zip_derived_cl1963, zip_derived_cl2021, zip_derived_cl483,
% 0.57/0.91 zip_derived_cl2021, zip_derived_cl2021, zip_derived_cl2021,
% 0.57/0.91 zip_derived_cl0, zip_derived_cl2021, zip_derived_cl483,
% 0.57/0.91 zip_derived_cl2021, zip_derived_cl2021, zip_derived_cl2021,
% 0.57/0.91 zip_derived_cl2008, zip_derived_cl2021, zip_derived_cl2021,
% 0.57/0.91 zip_derived_cl2021, zip_derived_cl483])).
% 0.57/0.91 thf(zip_derived_cl2053, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.91 (((X0) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((X1) != (identity))
% 0.57/0.91 | ((inverse @ X1) != (identity))
% 0.57/0.91 | ((inverse @ X2) != (identity))
% 0.57/0.91 | ((X2) != (identity))
% 0.57/0.91 | ((inverse @ X3) != (identity))
% 0.57/0.91 | ((X3) != (identity)))),
% 0.57/0.91 inference('simplify', [status(thm)], [zip_derived_cl2052])).
% 0.57/0.91 thf(zip_derived_cl2054, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 (((X0) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((X1) != (identity))
% 0.57/0.91 | ((inverse @ X1) != (identity))
% 0.57/0.91 | ((inverse @ X2) != (identity))
% 0.57/0.91 | ((X2) != (identity))
% 0.57/0.91 | ((inverse @ identity) != (identity)))),
% 0.57/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2053])).
% 0.57/0.91 thf(zip_derived_cl0, plain,
% 0.57/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.91 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.91 thf(zip_derived_cl78, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.57/0.91 thf(zip_derived_cl91, plain,
% 0.57/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl78])).
% 0.57/0.91 thf(zip_derived_cl78, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.91 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.57/0.91 thf(zip_derived_cl127, plain,
% 0.57/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl78])).
% 0.57/0.91 thf(zip_derived_cl1, plain,
% 0.57/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.91 thf(zip_derived_cl467, plain, (((inverse @ identity) = (identity))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl1])).
% 0.57/0.91 thf(zip_derived_cl2055, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 (((X0) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((X1) != (identity))
% 0.57/0.91 | ((inverse @ X1) != (identity))
% 0.57/0.91 | ((inverse @ X2) != (identity))
% 0.57/0.91 | ((X2) != (identity))
% 0.57/0.91 | ((identity) != (identity)))),
% 0.57/0.91 inference('demod', [status(thm)], [zip_derived_cl2054, zip_derived_cl467])).
% 0.57/0.91 thf(zip_derived_cl2056, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 (((X2) != (identity))
% 0.57/0.91 | ((inverse @ X2) != (identity))
% 0.57/0.91 | ((inverse @ X1) != (identity))
% 0.57/0.91 | ((X1) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((X0) != (identity)))),
% 0.57/0.91 inference('simplify', [status(thm)], [zip_derived_cl2055])).
% 0.57/0.91 thf(zip_derived_cl2057, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 (((X0) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((X1) != (identity))
% 0.57/0.91 | ((inverse @ X1) != (identity))
% 0.57/0.91 | ((inverse @ identity) != (identity)))),
% 0.57/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2056])).
% 0.57/0.91 thf(zip_derived_cl467, plain, (((inverse @ identity) = (identity))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl1])).
% 0.57/0.91 thf(zip_derived_cl2058, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 (((X0) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((X1) != (identity))
% 0.57/0.91 | ((inverse @ X1) != (identity))
% 0.57/0.91 | ((identity) != (identity)))),
% 0.57/0.91 inference('demod', [status(thm)], [zip_derived_cl2057, zip_derived_cl467])).
% 0.57/0.91 thf(zip_derived_cl2059, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 (((inverse @ X1) != (identity))
% 0.57/0.91 | ((X1) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((X0) != (identity)))),
% 0.57/0.91 inference('simplify', [status(thm)], [zip_derived_cl2058])).
% 0.57/0.91 thf(zip_derived_cl2060, plain,
% 0.57/0.91 (![X0 : $i]:
% 0.57/0.91 (((X0) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((inverse @ identity) != (identity)))),
% 0.57/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2059])).
% 0.57/0.91 thf(zip_derived_cl467, plain, (((inverse @ identity) = (identity))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl1])).
% 0.57/0.91 thf(zip_derived_cl2061, plain,
% 0.57/0.91 (![X0 : $i]:
% 0.57/0.91 (((X0) != (identity))
% 0.57/0.91 | ((inverse @ X0) != (identity))
% 0.57/0.91 | ((identity) != (identity)))),
% 0.57/0.91 inference('demod', [status(thm)], [zip_derived_cl2060, zip_derived_cl467])).
% 0.57/0.91 thf(zip_derived_cl2062, plain,
% 0.57/0.91 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.57/0.91 inference('simplify', [status(thm)], [zip_derived_cl2061])).
% 0.57/0.91 thf(zip_derived_cl2063, plain, (((inverse @ identity) != (identity))),
% 0.57/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2062])).
% 0.57/0.91 thf(zip_derived_cl467, plain, (((inverse @ identity) = (identity))),
% 0.57/0.91 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl1])).
% 0.57/0.91 thf(zip_derived_cl2064, plain, (((identity) != (identity))),
% 0.57/0.91 inference('demod', [status(thm)], [zip_derived_cl2063, zip_derived_cl467])).
% 0.57/0.91 thf(zip_derived_cl2065, plain, ($false),
% 0.57/0.91 inference('simplify', [status(thm)], [zip_derived_cl2064])).
% 0.57/0.91
% 0.57/0.91 % SZS output end Refutation
% 0.57/0.91
% 0.57/0.91
% 0.57/0.91 % Terminating...
% 0.61/0.97 % Runner terminated.
% 0.61/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------