TSTP Solution File: GRP347-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP347-1 : 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.vo1bA5l0Ne true
% Computer : n029.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 01:51:17 EDT 2023
% Result : Unsatisfiable 0.56s 0.98s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP347-1 : 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.vo1bA5l0Ne true
% 0.13/0.34 % Computer : n029.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 20:42:26 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
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.98 % Solved by fo/fo7.sh.
% 0.56/0.98 % done 507 iterations in 0.206s
% 0.56/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.98 % SZS output start Refutation
% 0.56/0.98 thf(sk_c2_type, type, sk_c2: $i).
% 0.56/0.98 thf(sk_c5_type, type, sk_c5: $i).
% 0.56/0.98 thf(sk_c1_type, type, sk_c1: $i).
% 0.56/0.98 thf(sk_c4_type, type, sk_c4: $i).
% 0.56/0.98 thf(identity_type, type, identity: $i).
% 0.56/0.98 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.98 thf(sk_c7_type, type, sk_c7: $i).
% 0.56/0.98 thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.98 thf(sk_c6_type, type, sk_c6: $i).
% 0.56/0.98 thf(prove_this_31, conjecture,
% 0.56/0.98 (~( ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.56/0.98 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.56/0.98 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/0.98 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.56/0.98 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) ))).
% 0.56/0.98 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.98 (( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.56/0.98 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.56/0.98 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/0.98 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.56/0.98 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.56/0.98 thf(zip_derived_cl33, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((inverse @ X0) != (sk_c7))
% 0.56/0.98 | ((multiply @ X0 @ sk_c7) != (sk_c5))
% 0.56/0.98 | ((inverse @ X1) != (sk_c6))
% 0.56/0.98 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.56/0.98 | ((inverse @ sk_c6) != (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7))
% 0.56/0.98 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 0.56/0.98 | ((inverse @ X2) != (sk_c6))
% 0.56/0.98 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.56/0.98 | ((inverse @ X3) != (sk_c7))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.98 thf(zip_derived_cl34, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((inverse @ X0) != (sk_c7))
% 0.56/0.98 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c6 @ sk_c7))
% 0.56/0.98 | ((inverse @ X1) != (sk_c6))
% 0.56/0.98 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.56/0.98 | ((inverse @ sk_c6) != (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c7))
% 0.56/0.98 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.56/0.98 | ((inverse @ X2) != (sk_c6))
% 0.56/0.98 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.56/0.98 | ((inverse @ X3) != (sk_c7))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.56/0.98 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.56/0.98 thf(prove_this_24, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/0.98 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.56/0.98 thf(zip_derived_cl26, plain,
% 0.56/0.98 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.98 thf(prove_this_30, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.56/0.98 thf(zf_stmt_2, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.56/0.98 thf(zip_derived_cl32, plain,
% 0.56/0.98 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.98 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(associativity, axiom,
% 0.56/0.98 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/0.98 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/0.98 thf(zip_derived_cl2, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.98 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.98 thf(zip_derived_cl61, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((multiply @ identity @ X0)
% 0.56/0.98 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.98 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl112, plain,
% 0.56/0.98 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 0.56/0.98 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl1206, plain,
% 0.56/0.98 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.98 | ((inverse @ sk_c4) = (sk_c7))
% 0.56/0.98 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl112])).
% 0.56/0.98 thf(zip_derived_cl1213, plain,
% 0.56/0.98 ((((inverse @ sk_c4) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl1206])).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl94, plain,
% 0.56/0.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl91, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl438, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.56/0.98 thf(zip_derived_cl94, plain,
% 0.56/0.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl474, plain,
% 0.56/0.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl94])).
% 0.56/0.98 thf(zip_derived_cl1223, plain,
% 0.56/0.98 ((((sk_c4) = (inverse @ sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1213, zip_derived_cl474])).
% 0.56/0.98 thf(prove_this_23, conjecture,
% 0.56/0.98 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/0.98 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.98 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.56/0.98 thf(zip_derived_cl25, plain,
% 0.56/0.98 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.98 thf(prove_this_29, conjecture,
% 0.56/0.98 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.56/0.98 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.98 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.56/0.98 thf(zip_derived_cl31, plain,
% 0.56/0.98 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl355, plain,
% 0.56/0.98 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 0.56/0.98 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl2472, plain,
% 0.56/0.98 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.98 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl355])).
% 0.56/0.98 thf(zip_derived_cl2480, plain,
% 0.56/0.98 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl2472])).
% 0.56/0.98 thf(zip_derived_cl2599, plain,
% 0.56/0.98 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.98 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1223, zip_derived_cl2480])).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(zip_derived_cl2604, plain,
% 0.56/0.98 ((((identity) = (sk_c5))
% 0.56/0.98 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.98 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl2599, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl2605, plain,
% 0.56/0.98 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6)) | ((identity) = (sk_c5)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl2604])).
% 0.56/0.98 thf(prove_this_6, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.56/0.98 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.56/0.98 thf(zip_derived_cl8, plain,
% 0.56/0.98 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(zip_derived_cl42, plain,
% 0.56/0.98 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl101, plain,
% 0.56/0.98 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl80])).
% 0.56/0.98 thf(prove_this_5, conjecture,
% 0.56/0.98 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.56/0.98 thf(zf_stmt_6, negated_conjecture,
% 0.56/0.98 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.56/0.98 thf(zip_derived_cl7, plain,
% 0.56/0.98 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/0.98 thf(zip_derived_cl272, plain,
% 0.56/0.98 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/0.98 = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl7])).
% 0.56/0.98 thf(zip_derived_cl2, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.98 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(zip_derived_cl275, plain,
% 0.56/0.98 ((((identity) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('demod', [status(thm)],
% 0.56/0.98 [zip_derived_cl272, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.98 zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl276, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c5)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl275])).
% 0.56/0.98 thf(zip_derived_cl2621, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.98 | ((identity) = (sk_c5))
% 0.56/0.98 | ((identity) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl2605, zip_derived_cl276])).
% 0.56/0.98 thf(zip_derived_cl2631, plain,
% 0.56/0.98 ((((identity) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl2621])).
% 0.56/0.98 thf(prove_this_2, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.56/0.98 thf(zf_stmt_7, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.56/0.98 thf(zip_derived_cl4, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/0.98 thf(prove_this_20, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/0.98 thf(zf_stmt_8, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.56/0.98 thf(zip_derived_cl22, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(zip_derived_cl40, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl98, plain,
% 0.56/0.98 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl438, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.56/0.98 thf(zip_derived_cl460, plain,
% 0.56/0.98 ((((sk_c2) = (inverse @ sk_c6)) | ((inverse @ sk_c6) = (sk_c5)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl438])).
% 0.56/0.98 thf(prove_this_26, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.56/0.98 thf(zf_stmt_9, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.56/0.98 thf(zip_derived_cl28, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/0.98 thf(zip_derived_cl508, plain,
% 0.56/0.98 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl460, zip_derived_cl28])).
% 0.56/0.98 thf(zip_derived_cl523, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5))
% 0.56/0.98 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl508])).
% 0.56/0.98 thf(zip_derived_cl1775, plain,
% 0.56/0.98 ((((multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl523])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl1782, plain,
% 0.56/0.98 ((((sk_c7) = (sk_c6))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl1775, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl1783, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl1782])).
% 0.56/0.98 thf(zip_derived_cl2650, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (identity))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.56/0.98 | ((sk_c7) = (sk_c6)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl2631, zip_derived_cl1783])).
% 0.56/0.98 thf(zip_derived_cl3358, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (identity))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/0.98 inference('condensation', [status(thm)], [zip_derived_cl2650])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl3360, plain,
% 0.56/0.98 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c6)))
% 0.56/0.98 | ((inverse @ sk_c6) = (identity)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl3358, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl3381, plain,
% 0.56/0.98 ((((sk_c7) = (sk_c6)) | ((inverse @ sk_c6) = (identity)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3360, zip_derived_cl80])).
% 0.56/0.98 thf(prove_this_12, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.98 thf(zf_stmt_10, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.56/0.98 thf(zip_derived_cl14, plain,
% 0.56/0.98 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.98 thf(prove_this_18, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/0.98 thf(zf_stmt_11, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.56/0.98 thf(zip_derived_cl20, plain,
% 0.56/0.98 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl109, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 0.56/0.98 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl1430, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/0.98 | ((inverse @ sk_c4) = (sk_c7))
% 0.56/0.98 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl109])).
% 0.56/0.98 thf(zip_derived_cl1437, plain,
% 0.56/0.98 ((((inverse @ sk_c4) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl1430])).
% 0.56/0.98 thf(zip_derived_cl474, plain,
% 0.56/0.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl94])).
% 0.56/0.98 thf(zip_derived_cl1447, plain,
% 0.56/0.98 ((((sk_c4) = (inverse @ sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl474])).
% 0.56/0.98 thf(prove_this_11, conjecture,
% 0.56/0.98 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.98 thf(zf_stmt_12, negated_conjecture,
% 0.56/0.98 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.56/0.98 thf(zip_derived_cl13, plain,
% 0.56/0.98 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.56/0.98 thf(prove_this_17, conjecture,
% 0.56/0.98 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/0.98 thf(zf_stmt_13, negated_conjecture,
% 0.56/0.98 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.56/0.98 thf(zip_derived_cl19, plain,
% 0.56/0.98 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl136, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 0.56/0.98 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl2341, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/0.98 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl136])).
% 0.56/0.98 thf(zip_derived_cl2349, plain,
% 0.56/0.98 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl2341])).
% 0.56/0.98 thf(zip_derived_cl3048, plain,
% 0.56/0.98 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/0.98 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1447, zip_derived_cl2349])).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(zip_derived_cl3053, plain,
% 0.56/0.98 ((((identity) = (sk_c5))
% 0.56/0.98 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/0.98 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3048, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3054, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((identity) = (sk_c5)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3053])).
% 0.56/0.98 thf(prove_this_8, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.98 thf(zf_stmt_14, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.56/0.98 thf(zip_derived_cl10, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.56/0.98 thf(prove_this_14, conjecture,
% 0.56/0.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/0.98 thf(zf_stmt_15, negated_conjecture,
% 0.56/0.98 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.56/0.98 thf(zip_derived_cl16, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl107, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl1164, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5))
% 0.56/0.98 | ((inverse @ sk_c6) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl107])).
% 0.56/0.98 thf(zip_derived_cl1175, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl1164])).
% 0.56/0.98 thf(zip_derived_cl3071, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (identity))
% 0.56/0.98 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/0.98 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl3054, zip_derived_cl1175])).
% 0.56/0.98 thf(zip_derived_cl3081, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/0.98 | ((inverse @ sk_c6) = (identity)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3071])).
% 0.56/0.98 thf(zip_derived_cl3427, plain,
% 0.56/0.98 ((((sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.56/0.98 | ((inverse @ sk_c6) = (identity))
% 0.56/0.98 | ((inverse @ sk_c6) = (identity)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl3381, zip_derived_cl3081])).
% 0.56/0.98 thf(zip_derived_cl3434, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (identity))
% 0.56/0.98 | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3427])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl3452, plain,
% 0.56/0.98 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6))
% 0.56/0.98 | ((inverse @ sk_c6) = (identity)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl3434, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(zip_derived_cl3472, plain,
% 0.56/0.98 ((((sk_c7) = (identity)) | ((inverse @ sk_c6) = (identity)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3452, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3381, plain,
% 0.56/0.98 ((((sk_c7) = (sk_c6)) | ((inverse @ sk_c6) = (identity)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3360, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl3520, plain,
% 0.56/0.98 ((((identity) = (sk_c6))
% 0.56/0.98 | ((inverse @ sk_c6) = (identity))
% 0.56/0.98 | ((inverse @ sk_c6) = (identity)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl3472, zip_derived_cl3381])).
% 0.56/0.98 thf(zip_derived_cl3538, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3520])).
% 0.56/0.98 thf(zip_derived_cl474, plain,
% 0.56/0.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl94])).
% 0.56/0.98 thf(zip_derived_cl3544, plain,
% 0.56/0.98 ((((sk_c6) = (inverse @ identity)) | ((identity) = (sk_c6)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl3538, zip_derived_cl474])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl93, plain,
% 0.56/0.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl80, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl129, plain,
% 0.56/0.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl80])).
% 0.56/0.98 thf(zip_derived_cl1, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.98 thf(zip_derived_cl425, plain, (((inverse @ identity) = (identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3558, plain,
% 0.56/0.98 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3544, zip_derived_cl425])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl438, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl425, plain, (((inverse @ identity) = (identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl438, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl3600, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((inverse @ X0) != (sk_c7))
% 0.56/0.98 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (sk_c7))
% 0.56/0.98 | ((identity) != (sk_c5))
% 0.56/0.98 | ((sk_c7) != (sk_c7))
% 0.56/0.98 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((X3) != (sk_c7))
% 0.56/0.98 | ((inverse @ X3) != (sk_c7))
% 0.56/0.98 | ((sk_c7) != (sk_c5)))),
% 0.56/0.98 inference('demod', [status(thm)],
% 0.56/0.98 [zip_derived_cl34, zip_derived_cl3559, zip_derived_cl0,
% 0.56/0.98 zip_derived_cl3559, zip_derived_cl3559, zip_derived_cl438,
% 0.56/0.98 zip_derived_cl3559, zip_derived_cl425, zip_derived_cl3559,
% 0.56/0.98 zip_derived_cl3559, zip_derived_cl0, zip_derived_cl0,
% 0.56/0.98 zip_derived_cl3559, zip_derived_cl0, zip_derived_cl3559,
% 0.56/0.98 zip_derived_cl3559, zip_derived_cl3559, zip_derived_cl438,
% 0.56/0.98 zip_derived_cl3559, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl3601, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((sk_c7) != (sk_c5))
% 0.56/0.98 | ((inverse @ X3) != (sk_c7))
% 0.56/0.98 | ((X3) != (sk_c7))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/0.98 | ((identity) != (sk_c5))
% 0.56/0.98 | ((X1) != (sk_c7))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.56/0.98 | ((inverse @ X0) != (sk_c7)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3600])).
% 0.56/0.98 thf(prove_this_1, conjecture,
% 0.56/0.98 (~( ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.56/0.98 thf(zf_stmt_16, negated_conjecture,
% 0.56/0.98 (( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.56/0.98 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 0.56/0.98 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.56/0.98 thf(zip_derived_cl3, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl3571, plain, ((((sk_c5) = (sk_c7)) | ((sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('demod', [status(thm)],
% 0.56/0.98 [zip_derived_cl3, zip_derived_cl3559, zip_derived_cl0,
% 0.56/0.98 zip_derived_cl3559, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl3572, plain, (((sk_c5) = (sk_c7))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3571])).
% 0.56/0.98 thf(zip_derived_cl3572, plain, (((sk_c5) = (sk_c7))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3571])).
% 0.56/0.98 thf(zip_derived_cl3759, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((sk_c7) != (sk_c7))
% 0.56/0.98 | ((inverse @ X3) != (sk_c7))
% 0.56/0.98 | ((X3) != (sk_c7))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/0.98 | ((identity) != (sk_c7))
% 0.56/0.98 | ((X1) != (sk_c7))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.56/0.98 | ((inverse @ X0) != (sk_c7)))),
% 0.56/0.98 inference('demod', [status(thm)],
% 0.56/0.98 [zip_derived_cl3601, zip_derived_cl3572, zip_derived_cl3572])).
% 0.56/0.98 thf(zip_derived_cl3760, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((inverse @ X0) != (sk_c7))
% 0.56/0.98 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (sk_c7))
% 0.56/0.98 | ((identity) != (sk_c7))
% 0.56/0.98 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((X3) != (sk_c7))
% 0.56/0.98 | ((inverse @ X3) != (sk_c7)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3759])).
% 0.56/0.98 thf(zip_derived_cl3761, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((multiply @ X0 @ identity) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((identity) != (sk_c7))
% 0.56/0.98 | ((multiply @ X2 @ identity) != (identity))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((X3) != (identity))
% 0.56/0.98 | ((inverse @ X3) != (identity)))),
% 0.56/0.98 inference('local_rewriting', [status(thm)], [zip_derived_cl3760])).
% 0.56/0.98 thf(zip_derived_cl438, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.56/0.98 thf(zip_derived_cl438, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.56/0.98 thf(zip_derived_cl3762, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((identity) != (sk_c7))
% 0.56/0.98 | ((X2) != (identity))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((X3) != (identity))
% 0.56/0.98 | ((inverse @ X3) != (identity)))),
% 0.56/0.98 inference('demod', [status(thm)],
% 0.56/0.98 [zip_derived_cl3761, zip_derived_cl438, zip_derived_cl438])).
% 0.56/0.98 thf(zip_derived_cl1783, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl1782])).
% 0.56/0.98 thf(zip_derived_cl276, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c5)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl275])).
% 0.56/0.98 thf(zip_derived_cl1798, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c6))
% 0.56/0.98 | ((sk_c7) = (sk_c6))
% 0.56/0.98 | ((identity) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1783, zip_derived_cl276])).
% 0.56/0.98 thf(zip_derived_cl3, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.56/0.98 thf(zip_derived_cl1860, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ identity) = (sk_c7))
% 0.56/0.98 | ((sk_c7) = (sk_c6))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c6))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1798, zip_derived_cl3])).
% 0.56/0.98 thf(zip_derived_cl438, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.56/0.98 thf(zip_derived_cl1877, plain,
% 0.56/0.98 ((((sk_c6) = (sk_c7))
% 0.56/0.98 | ((sk_c7) = (sk_c6))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c6))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl1860, zip_derived_cl438])).
% 0.56/0.98 thf(zip_derived_cl1878, plain,
% 0.56/0.98 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c6))
% 0.56/0.98 | ((sk_c6) = (sk_c7)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl1877])).
% 0.56/0.98 thf(zip_derived_cl1783, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl1782])).
% 0.56/0.98 thf(zip_derived_cl2203, plain,
% 0.56/0.98 ((((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.56/0.98 | ((sk_c6) = (sk_c7))
% 0.56/0.98 | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c6))
% 0.56/0.98 | ((sk_c7) = (sk_c6)))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl1878, zip_derived_cl1783])).
% 0.56/0.98 thf(zip_derived_cl2215, plain,
% 0.56/0.98 ((((sk_c6) = (sk_c7)) | ((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl2203])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl425, plain, (((inverse @ identity) = (identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3559, plain, (((sk_c6) = (identity))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 0.56/0.98 thf(zip_derived_cl0, plain,
% 0.56/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.98 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.98 thf(zip_derived_cl3704, plain,
% 0.56/0.98 ((((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.56/0.98 inference('demod', [status(thm)],
% 0.56/0.98 [zip_derived_cl2215, zip_derived_cl3559, zip_derived_cl3559,
% 0.56/0.98 zip_derived_cl425, zip_derived_cl3559, zip_derived_cl0])).
% 0.56/0.98 thf(zip_derived_cl3705, plain, (((identity) = (sk_c7))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3704])).
% 0.56/0.98 thf(zip_derived_cl3771, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((identity) != (identity))
% 0.56/0.98 | ((X2) != (identity))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((X3) != (identity))
% 0.56/0.98 | ((inverse @ X3) != (identity)))),
% 0.56/0.98 inference('demod', [status(thm)],
% 0.56/0.98 [zip_derived_cl3762, zip_derived_cl3705])).
% 0.56/0.98 thf(zip_derived_cl3772, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.98 (((inverse @ X3) != (identity))
% 0.56/0.98 | ((X3) != (identity))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((X2) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X0) != (identity)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3771])).
% 0.56/0.98 thf(zip_derived_cl3773, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((X2) != (identity))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((inverse @ identity) != (identity)))),
% 0.56/0.98 inference('eq_res', [status(thm)], [zip_derived_cl3772])).
% 0.56/0.98 thf(zip_derived_cl425, plain, (((inverse @ identity) = (identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3774, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((X2) != (identity))
% 0.56/0.98 | ((inverse @ X2) != (identity))
% 0.56/0.98 | ((identity) != (identity)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3773, zip_derived_cl425])).
% 0.56/0.98 thf(zip_derived_cl3775, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.98 (((inverse @ X2) != (identity))
% 0.56/0.98 | ((X2) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X0) != (identity)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3774])).
% 0.56/0.98 thf(zip_derived_cl3776, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((inverse @ identity) != (identity)))),
% 0.56/0.98 inference('eq_res', [status(thm)], [zip_derived_cl3775])).
% 0.56/0.98 thf(zip_derived_cl425, plain, (((inverse @ identity) = (identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3777, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X1) != (identity))
% 0.56/0.98 | ((identity) != (identity)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3776, zip_derived_cl425])).
% 0.56/0.98 thf(zip_derived_cl3778, plain,
% 0.56/0.98 (![X0 : $i, X1 : $i]:
% 0.56/0.98 (((X1) != (identity))
% 0.56/0.98 | ((inverse @ X1) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ X0) != (identity)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3777])).
% 0.56/0.98 thf(zip_derived_cl3779, plain,
% 0.56/0.98 (![X0 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((inverse @ identity) != (identity)))),
% 0.56/0.98 inference('eq_res', [status(thm)], [zip_derived_cl3778])).
% 0.56/0.98 thf(zip_derived_cl425, plain, (((inverse @ identity) = (identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3780, plain,
% 0.56/0.98 (![X0 : $i]:
% 0.56/0.98 (((inverse @ X0) != (identity))
% 0.56/0.98 | ((X0) != (identity))
% 0.56/0.98 | ((identity) != (identity)))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3779, zip_derived_cl425])).
% 0.56/0.98 thf(zip_derived_cl3781, plain,
% 0.56/0.98 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3780])).
% 0.56/0.98 thf(zip_derived_cl3782, plain, (((inverse @ identity) != (identity))),
% 0.56/0.98 inference('eq_res', [status(thm)], [zip_derived_cl3781])).
% 0.56/0.98 thf(zip_derived_cl425, plain, (((inverse @ identity) = (identity))),
% 0.56/0.98 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 0.56/0.98 thf(zip_derived_cl3783, plain, (((identity) != (identity))),
% 0.56/0.98 inference('demod', [status(thm)], [zip_derived_cl3782, zip_derived_cl425])).
% 0.56/0.98 thf(zip_derived_cl3784, plain, ($false),
% 0.56/0.98 inference('simplify', [status(thm)], [zip_derived_cl3783])).
% 0.56/0.98
% 0.56/0.98 % SZS output end Refutation
% 0.56/0.98
% 0.56/0.98
% 0.56/0.98 % Terminating...
% 0.61/1.06 % Runner terminated.
% 0.61/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------