TSTP Solution File: GRP326-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP326-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wvpzrbHKyV true
% Computer : n003.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 01:51:12 EDT 2023
% Result : Unsatisfiable 0.55s 0.86s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP326-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wvpzrbHKyV true
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 01:37:10 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.49/0.63 % Total configuration time : 435
% 0.49/0.63 % Estimated wc time : 1092
% 0.49/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.86 % Solved by fo/fo7.sh.
% 0.55/0.86 % done 243 iterations in 0.089s
% 0.55/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.86 % SZS output start Refutation
% 0.55/0.86 thf(sk_c2_type, type, sk_c2: $i).
% 0.55/0.86 thf(sk_c5_type, type, sk_c5: $i).
% 0.55/0.86 thf(sk_c3_type, type, sk_c3: $i).
% 0.55/0.86 thf(sk_c4_type, type, sk_c4: $i).
% 0.55/0.86 thf(identity_type, type, identity: $i).
% 0.55/0.86 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.55/0.86 thf(sk_c7_type, type, sk_c7: $i).
% 0.55/0.86 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.86 thf(sk_c1_type, type, sk_c1: $i).
% 0.55/0.86 thf(sk_c6_type, type, sk_c6: $i).
% 0.55/0.86 thf(prove_this_22, conjecture,
% 0.55/0.86 (~( ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.86 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.55/0.86 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 0.55/0.86 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 0.55/0.86 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.55/0.86 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) ))).
% 0.55/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.86 (( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.86 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.55/0.86 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 0.55/0.86 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 0.55/0.86 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.55/0.86 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.55/0.86 thf(zip_derived_cl24, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 0.55/0.86 | ((inverse @ X0) != (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 0.55/0.86 | ((inverse @ sk_c6) != (sk_c5))
% 0.55/0.86 | ((inverse @ X1) != (sk_c7))
% 0.55/0.86 | ((multiply @ X1 @ sk_c7) != (X2))
% 0.55/0.86 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.55/0.86 | ((inverse @ X3) != (sk_c6))
% 0.55/0.86 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.86 thf(zip_derived_cl25, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 0.55/0.86 | ((inverse @ X0) != (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.55/0.86 | ((inverse @ sk_c6) != (sk_c5))
% 0.55/0.86 | ((inverse @ X1) != (sk_c7))
% 0.55/0.86 | ((multiply @ X1 @ sk_c7) != (X2))
% 0.55/0.86 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.55/0.86 | ((inverse @ X3) != (sk_c6))
% 0.55/0.86 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.55/0.86 inference('local_rewriting', [status(thm)], [zip_derived_cl24])).
% 0.55/0.86 thf(prove_this_1, conjecture, (( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ))).
% 0.55/0.86 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.86 (( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.55/0.86 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.86 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.86 thf(zip_derived_cl26, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 0.55/0.86 | ((inverse @ X0) != (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.55/0.86 | ((inverse @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((inverse @ X1) != (sk_c7))
% 0.55/0.86 | ((multiply @ X1 @ sk_c7) != (X2))
% 0.55/0.86 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.55/0.86 | ((inverse @ X3) != (sk_c6))
% 0.55/0.86 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c6 @ sk_c7) != (multiply @ sk_c6 @ sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl25, zip_derived_cl3, zip_derived_cl3])).
% 0.55/0.86 thf(zip_derived_cl27, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.86 | ((inverse @ X3) != (sk_c6))
% 0.55/0.86 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.55/0.86 | ((multiply @ X1 @ sk_c7) != (X2))
% 0.55/0.86 | ((inverse @ X1) != (sk_c7))
% 0.55/0.86 | ((inverse @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.55/0.86 | ((inverse @ X0) != (sk_c7))
% 0.55/0.86 | ((multiply @ X0 @ sk_c6) != (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 0.55/0.86 thf(zip_derived_cl28, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.86 | ((inverse @ X3) != (sk_c6))
% 0.55/0.86 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.55/0.86 | ((multiply @ X1 @ sk_c7) != (X2))
% 0.55/0.86 | ((inverse @ X1) != (sk_c7))
% 0.55/0.86 | ((inverse @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ (inverse @ sk_c6)) != (sk_c6))
% 0.55/0.86 | ((inverse @ X0) != (sk_c7))
% 0.55/0.86 | ((multiply @ X0 @ sk_c6) != (sk_c7)))),
% 0.55/0.86 inference('local_rewriting', [status(thm)], [zip_derived_cl27])).
% 0.55/0.86 thf(prove_this_6, conjecture,
% 0.55/0.86 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.55/0.86 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.55/0.86 thf(zf_stmt_2, negated_conjecture,
% 0.55/0.86 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.55/0.86 thf(zip_derived_cl8, plain,
% 0.55/0.86 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.86 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.86 thf(zip_derived_cl29, plain,
% 0.55/0.86 ((((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 0.55/0.86 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl30, plain,
% 0.55/0.86 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 0.55/0.86 | ((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(associativity, axiom,
% 0.55/0.86 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.55/0.86 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.55/0.86 thf(zip_derived_cl2, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.86 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.86 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.86 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.86 thf(zip_derived_cl50, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((multiply @ identity @ X0)
% 0.55/0.86 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.55/0.86 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.55/0.86 thf(zip_derived_cl0, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl80, plain,
% 0.55/0.86 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.55/0.86 | ((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl68])).
% 0.55/0.86 thf(prove_this_2, conjecture,
% 0.55/0.86 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.55/0.86 thf(zf_stmt_3, negated_conjecture,
% 0.55/0.86 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.55/0.86 thf(zip_derived_cl4, plain,
% 0.55/0.86 ((((inverse @ sk_c6) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.86 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.86 thf(zip_derived_cl41, plain,
% 0.55/0.86 ((((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.55/0.86 thf(zip_derived_cl210, plain,
% 0.55/0.86 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.55/0.86 = (sk_c7))
% 0.55/0.86 | ((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl41])).
% 0.55/0.86 thf(zip_derived_cl2, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.86 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.86 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.86 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.86 thf(zip_derived_cl0, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl215, plain,
% 0.55/0.86 ((((identity) = (sk_c7))
% 0.55/0.86 | ((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl210, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.86 zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl216, plain,
% 0.55/0.86 ((((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl314, plain,
% 0.55/0.86 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ (inverse @ sk_c6)))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl68])).
% 0.55/0.86 thf(prove_this_7, conjecture,
% 0.55/0.86 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.86 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.55/0.86 thf(zf_stmt_4, negated_conjecture,
% 0.55/0.86 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.86 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.55/0.86 thf(zip_derived_cl9, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.86 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.86 thf(zip_derived_cl36, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.55/0.86 | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl78, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl75, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl68])).
% 0.55/0.86 thf(zip_derived_cl252, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.55/0.86 thf(zip_derived_cl78, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 0.55/0.86 thf(zip_derived_cl277, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl78])).
% 0.55/0.86 thf(zip_derived_cl288, plain,
% 0.55/0.86 ((((sk_c1) = (inverse @ sk_c6))
% 0.55/0.86 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl277])).
% 0.55/0.86 thf(prove_this_3, conjecture,
% 0.55/0.86 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.55/0.86 thf(zf_stmt_5, negated_conjecture,
% 0.55/0.86 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.55/0.86 thf(zip_derived_cl5, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 0.55/0.86 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.86 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.86 thf(zip_derived_cl45, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.55/0.86 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.55/0.86 thf(zip_derived_cl707, plain,
% 0.55/0.86 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.55/0.86 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl45])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl715, plain,
% 0.55/0.86 ((((identity) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.55/0.86 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl716, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl715])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl1124, plain,
% 0.55/0.86 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl716, zip_derived_cl68])).
% 0.55/0.86 thf(prove_this_20, conjecture,
% 0.55/0.86 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.55/0.86 thf(zf_stmt_6, negated_conjecture,
% 0.55/0.86 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.55/0.86 thf(zip_derived_cl22, plain,
% 0.55/0.86 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl34, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.55/0.86 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl87, plain,
% 0.55/0.86 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.86 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl68])).
% 0.55/0.86 thf(prove_this_16, conjecture,
% 0.55/0.86 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) ) ))).
% 0.55/0.86 thf(zf_stmt_7, negated_conjecture,
% 0.55/0.86 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.55/0.86 thf(zip_derived_cl18, plain,
% 0.55/0.86 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c3)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.86 thf(zip_derived_cl124, plain,
% 0.55/0.86 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.55/0.86 = (sk_c3))
% 0.55/0.86 | ((inverse @ sk_c4) = (sk_c7))
% 0.55/0.86 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl18])).
% 0.55/0.86 thf(zip_derived_cl2, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.86 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.86 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.86 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.86 thf(zip_derived_cl0, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl133, plain,
% 0.55/0.86 ((((identity) = (sk_c3))
% 0.55/0.86 | ((inverse @ sk_c4) = (sk_c7))
% 0.55/0.86 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl124, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.86 zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl134, plain,
% 0.55/0.86 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c3)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl133])).
% 0.55/0.86 thf(prove_this_12, conjecture,
% 0.55/0.86 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) ) ))).
% 0.55/0.86 thf(zf_stmt_8, negated_conjecture,
% 0.55/0.86 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.55/0.86 thf(zip_derived_cl14, plain,
% 0.55/0.86 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c3) = (sk_c6)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.55/0.86 thf(zip_derived_cl140, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 0.55/0.86 | ((inverse @ sk_c4) = (sk_c7))
% 0.55/0.86 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl14])).
% 0.55/0.86 thf(zip_derived_cl145, plain,
% 0.55/0.86 ((((inverse @ sk_c4) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl140])).
% 0.55/0.86 thf(zip_derived_cl252, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.55/0.86 thf(zip_derived_cl271, plain,
% 0.55/0.86 ((((inverse @ sk_c4) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl252])).
% 0.55/0.86 thf(zip_derived_cl277, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl78])).
% 0.55/0.86 thf(zip_derived_cl298, plain,
% 0.55/0.86 ((((sk_c4) = (inverse @ sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl271, zip_derived_cl277])).
% 0.55/0.86 thf(prove_this_21, conjecture,
% 0.55/0.86 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.55/0.86 thf(zf_stmt_9, negated_conjecture,
% 0.55/0.86 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.55/0.86 thf(zip_derived_cl23, plain,
% 0.55/0.86 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/0.86 thf(zip_derived_cl277, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl78])).
% 0.55/0.86 thf(zip_derived_cl294, plain,
% 0.55/0.86 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl277])).
% 0.55/0.86 thf(prove_this_17, conjecture,
% 0.55/0.86 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) ) ))).
% 0.55/0.86 thf(zf_stmt_10, negated_conjecture,
% 0.55/0.86 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.55/0.86 thf(zip_derived_cl19, plain,
% 0.55/0.86 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c2 @ sk_c7) = (sk_c3)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.86 thf(zip_derived_cl423, plain,
% 0.55/0.86 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c3))
% 0.55/0.86 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl19])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl435, plain,
% 0.55/0.86 ((((identity) = (sk_c3))
% 0.55/0.86 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl423, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl436, plain,
% 0.55/0.86 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c3)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl435])).
% 0.55/0.86 thf(prove_this_13, conjecture,
% 0.55/0.86 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) ) ))).
% 0.55/0.86 thf(zf_stmt_11, negated_conjecture,
% 0.55/0.86 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.86 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.55/0.86 thf(zip_derived_cl15, plain,
% 0.55/0.86 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ sk_c3) = (sk_c6)))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.55/0.86 thf(zip_derived_cl450, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 0.55/0.86 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl436, zip_derived_cl15])).
% 0.55/0.86 thf(zip_derived_cl252, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.55/0.86 thf(zip_derived_cl458, plain,
% 0.55/0.86 ((((sk_c7) = (sk_c6))
% 0.55/0.86 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl450, zip_derived_cl252])).
% 0.55/0.86 thf(zip_derived_cl459, plain,
% 0.55/0.86 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl458])).
% 0.55/0.86 thf(zip_derived_cl586, plain,
% 0.55/0.86 ((((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((sk_c7) = (sk_c6))
% 0.55/0.86 | ((sk_c7) = (sk_c6)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl298, zip_derived_cl459])).
% 0.55/0.86 thf(zip_derived_cl587, plain,
% 0.55/0.86 ((((sk_c7) = (sk_c6))
% 0.55/0.86 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl586])).
% 0.55/0.86 thf(zip_derived_cl1140, plain,
% 0.55/0.86 ((((multiply @ sk_c6 @ sk_c7) = (sk_c7))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((sk_c7) = (sk_c6)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl1124, zip_derived_cl587])).
% 0.55/0.86 thf(zip_derived_cl1167, plain,
% 0.55/0.86 ((((multiply @ sk_c6 @ (multiply @ (inverse @ sk_c6) @ (inverse @ sk_c6)))
% 0.55/0.86 = (sk_c7))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((sk_c7) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl314, zip_derived_cl1140])).
% 0.55/0.86 thf(zip_derived_cl277, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl78])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl284, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl68])).
% 0.55/0.86 thf(zip_derived_cl1169, plain,
% 0.55/0.86 ((((inverse @ sk_c6) = (sk_c7))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((sk_c7) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1167, zip_derived_cl284])).
% 0.55/0.86 thf(zip_derived_cl1170, plain,
% 0.55/0.86 ((((sk_c7) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((inverse @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1169])).
% 0.55/0.86 thf(zip_derived_cl716, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl715])).
% 0.55/0.86 thf(zip_derived_cl1206, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ (multiply @ sk_c6 @ (inverse @ sk_c6))) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((sk_c7) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl716])).
% 0.55/0.86 thf(zip_derived_cl277, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl78])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl282, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl252, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.55/0.86 thf(zip_derived_cl1231, plain,
% 0.55/0.86 ((((sk_c7) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((sk_c7) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl1206, zip_derived_cl282, zip_derived_cl252])).
% 0.55/0.86 thf(zip_derived_cl1232, plain,
% 0.55/0.86 ((((identity) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1231])).
% 0.55/0.86 thf(zip_derived_cl216, plain,
% 0.55/0.86 ((((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 0.55/0.86 thf(zip_derived_cl716, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl715])).
% 0.55/0.86 thf(zip_derived_cl1125, plain,
% 0.55/0.86 ((((multiply @ sk_c7 @ (inverse @ sk_c6)) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl716])).
% 0.55/0.86 thf(zip_derived_cl1131, plain,
% 0.55/0.86 ((((identity) = (sk_c7))
% 0.55/0.86 | ((multiply @ sk_c7 @ (inverse @ sk_c6)) = (sk_c6)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1125])).
% 0.55/0.86 thf(zip_derived_cl1283, plain,
% 0.55/0.86 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl1232, zip_derived_cl1131])).
% 0.55/0.86 thf(zip_derived_cl282, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl1301, plain,
% 0.55/0.86 ((((identity) = (sk_c6))
% 0.55/0.86 | ((identity) = (sk_c7))
% 0.55/0.86 | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1283, zip_derived_cl282])).
% 0.55/0.86 thf(zip_derived_cl1302, plain,
% 0.55/0.86 ((((identity) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1301])).
% 0.55/0.86 thf(zip_derived_cl1232, plain,
% 0.55/0.86 ((((identity) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1231])).
% 0.55/0.86 thf(zip_derived_cl1284, plain,
% 0.55/0.86 ((((sk_c6) != (identity)) | ((identity) = (sk_c7)))),
% 0.55/0.86 inference('eq_fact', [status(thm)], [zip_derived_cl1232])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl0, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl252, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl252, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl0, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl1315, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((multiply @ X3 @ sk_c6) != (identity))
% 0.55/0.86 | ((inverse @ X3) != (sk_c6))
% 0.55/0.86 | ((X2) != (sk_c6))
% 0.55/0.86 | ((X1) != (X2))
% 0.55/0.86 | ((inverse @ X1) != (identity))
% 0.55/0.86 | ((inverse @ sk_c6) != (sk_c6))
% 0.55/0.86 | ((inverse @ sk_c6) != (sk_c6))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((multiply @ X0 @ sk_c6) != (identity)))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl28, zip_derived_cl1303, zip_derived_cl1303,
% 0.55/0.86 zip_derived_cl0, zip_derived_cl1303, zip_derived_cl252,
% 0.55/0.86 zip_derived_cl1303, zip_derived_cl1303, zip_derived_cl252,
% 0.55/0.86 zip_derived_cl1303, zip_derived_cl0, zip_derived_cl1303,
% 0.55/0.86 zip_derived_cl1303])).
% 0.55/0.86 thf(zip_derived_cl1316, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((multiply @ X0 @ sk_c6) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((inverse @ sk_c6) != (sk_c6))
% 0.55/0.86 | ((inverse @ X1) != (identity))
% 0.55/0.86 | ((X1) != (X2))
% 0.55/0.86 | ((X2) != (sk_c6))
% 0.55/0.86 | ((inverse @ X3) != (sk_c6))
% 0.55/0.86 | ((multiply @ X3 @ sk_c6) != (identity)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1315])).
% 0.55/0.86 thf(zip_derived_cl587, plain,
% 0.55/0.86 ((((sk_c7) = (sk_c6))
% 0.55/0.86 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl586])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl0, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl77, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl68])).
% 0.55/0.86 thf(zip_derived_cl68, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.86 thf(zip_derived_cl106, plain,
% 0.55/0.86 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl68])).
% 0.55/0.86 thf(zip_derived_cl1, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.86 thf(zip_derived_cl239, plain, (((inverse @ identity) = (identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl0, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.86 thf(zip_derived_cl1303, plain, (((identity) = (sk_c7))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl1284])).
% 0.55/0.86 thf(zip_derived_cl1374, plain,
% 0.55/0.86 ((((identity) = (sk_c6)) | ((sk_c6) = (identity)))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl587, zip_derived_cl1303, zip_derived_cl1303,
% 0.55/0.86 zip_derived_cl239, zip_derived_cl0, zip_derived_cl1303])).
% 0.55/0.86 thf(zip_derived_cl1375, plain, (((identity) = (sk_c6))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 0.55/0.86 thf(zip_derived_cl252, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.55/0.86 thf(zip_derived_cl1375, plain, (((identity) = (sk_c6))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 0.55/0.86 thf(zip_derived_cl239, plain, (((inverse @ identity) = (identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl1375, plain, (((identity) = (sk_c6))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 0.55/0.86 thf(zip_derived_cl1375, plain, (((identity) = (sk_c6))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 0.55/0.86 thf(zip_derived_cl1375, plain, (((identity) = (sk_c6))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 0.55/0.86 thf(zip_derived_cl1375, plain, (((identity) = (sk_c6))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 0.55/0.86 thf(zip_derived_cl252, plain,
% 0.55/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.55/0.86 thf(zip_derived_cl1399, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((X0) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((identity) != (identity))
% 0.55/0.86 | ((inverse @ X1) != (identity))
% 0.55/0.86 | ((X1) != (X2))
% 0.55/0.86 | ((X2) != (identity))
% 0.55/0.86 | ((inverse @ X3) != (identity))
% 0.55/0.86 | ((X3) != (identity)))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl1316, zip_derived_cl1375, zip_derived_cl252,
% 0.55/0.86 zip_derived_cl1375, zip_derived_cl239, zip_derived_cl1375,
% 0.55/0.86 zip_derived_cl1375, zip_derived_cl1375, zip_derived_cl1375,
% 0.55/0.86 zip_derived_cl252])).
% 0.55/0.86 thf(zip_derived_cl1400, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.86 (((X3) != (identity))
% 0.55/0.86 | ((inverse @ X3) != (identity))
% 0.55/0.86 | ((X2) != (identity))
% 0.55/0.86 | ((X1) != (X2))
% 0.55/0.86 | ((inverse @ X1) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((X0) != (identity)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1399])).
% 0.55/0.86 thf(zip_derived_cl1401, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.86 (((X0) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((inverse @ X1) != (identity))
% 0.55/0.86 | ((X1) != (identity))
% 0.55/0.86 | ((inverse @ X2) != (identity))
% 0.55/0.86 | ((X2) != (identity)))),
% 0.55/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1400])).
% 0.55/0.86 thf(zip_derived_cl1402, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((X0) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((X1) != (identity))
% 0.55/0.86 | ((inverse @ X1) != (identity))
% 0.55/0.86 | ((inverse @ identity) != (identity)))),
% 0.55/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1401])).
% 0.55/0.86 thf(zip_derived_cl239, plain, (((inverse @ identity) = (identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl1403, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((X0) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((X1) != (identity))
% 0.55/0.86 | ((inverse @ X1) != (identity))
% 0.55/0.86 | ((identity) != (identity)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1402, zip_derived_cl239])).
% 0.55/0.86 thf(zip_derived_cl1404, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((inverse @ X1) != (identity))
% 0.55/0.86 | ((X1) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((X0) != (identity)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1403])).
% 0.55/0.86 thf(zip_derived_cl1405, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (((X0) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((inverse @ identity) != (identity)))),
% 0.55/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1404])).
% 0.55/0.86 thf(zip_derived_cl239, plain, (((inverse @ identity) = (identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl1406, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (((X0) != (identity))
% 0.55/0.86 | ((inverse @ X0) != (identity))
% 0.55/0.86 | ((identity) != (identity)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1405, zip_derived_cl239])).
% 0.55/0.86 thf(zip_derived_cl1407, plain,
% 0.55/0.86 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1406])).
% 0.55/0.86 thf(zip_derived_cl1408, plain, (((inverse @ identity) != (identity))),
% 0.55/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1407])).
% 0.55/0.86 thf(zip_derived_cl239, plain, (((inverse @ identity) = (identity))),
% 0.55/0.86 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl1])).
% 0.55/0.86 thf(zip_derived_cl1409, plain, (((identity) != (identity))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1408, zip_derived_cl239])).
% 0.55/0.86 thf(zip_derived_cl1410, plain, ($false),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1409])).
% 0.55/0.86
% 0.55/0.86 % SZS output end Refutation
% 0.55/0.86
% 0.55/0.86
% 0.55/0.86 % Terminating...
% 1.55/0.94 % Runner terminated.
% 1.55/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------