TSTP Solution File: GRP346-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP346-1 : 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.4E4oluieIZ true
% Computer : n031.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 1.98s 1.07s
% Output : Refutation 1.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP346-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4E4oluieIZ true
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:54:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.61 % Total configuration time : 435
% 0.21/0.61 % Estimated wc time : 1092
% 0.21/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.98/1.07 % Solved by fo/fo7.sh.
% 1.98/1.07 % done 651 iterations in 0.312s
% 1.98/1.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.98/1.07 % SZS output start Refutation
% 1.98/1.07 thf(sk_c2_type, type, sk_c2: $i).
% 1.98/1.07 thf(sk_c5_type, type, sk_c5: $i).
% 1.98/1.07 thf(sk_c1_type, type, sk_c1: $i).
% 1.98/1.07 thf(sk_c4_type, type, sk_c4: $i).
% 1.98/1.07 thf(identity_type, type, identity: $i).
% 1.98/1.07 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.98/1.07 thf(sk_c7_type, type, sk_c7: $i).
% 1.98/1.07 thf(inverse_type, type, inverse: $i > $i).
% 1.98/1.07 thf(sk_c3_type, type, sk_c3: $i).
% 1.98/1.07 thf(sk_c6_type, type, sk_c6: $i).
% 1.98/1.07 thf(prove_this_36, conjecture,
% 1.98/1.07 (~( ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.98/1.07 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.98/1.07 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) ))).
% 1.98/1.07 thf(zf_stmt_0, negated_conjecture,
% 1.98/1.07 (( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.98/1.07 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.98/1.07 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 1.98/1.07 thf(zip_derived_cl38, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X0) != (sk_c7))
% 1.98/1.07 | ((multiply @ X0 @ sk_c7) != (sk_c5))
% 1.98/1.07 | ((inverse @ X1) != (sk_c6))
% 1.98/1.07 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.98/1.07 | ((inverse @ sk_c7) != (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7))
% 1.98/1.07 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 1.98/1.07 | ((inverse @ X2) != (sk_c6))
% 1.98/1.07 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.98/1.07 | ((inverse @ X3) != (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.98/1.07 thf(zip_derived_cl39, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X0) != (sk_c7))
% 1.98/1.07 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c6 @ sk_c7))
% 1.98/1.07 | ((inverse @ X1) != (sk_c6))
% 1.98/1.07 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.98/1.07 | ((inverse @ sk_c7) != (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c7))
% 1.98/1.07 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.98/1.07 | ((inverse @ X2) != (sk_c6))
% 1.98/1.07 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.98/1.07 | ((inverse @ X3) != (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 1.98/1.07 inference('local_rewriting', [status(thm)], [zip_derived_cl38])).
% 1.98/1.07 thf(prove_this_26, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.98/1.07 thf(zf_stmt_1, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.98/1.07 thf(zip_derived_cl28, plain,
% 1.98/1.07 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.98/1.07 thf(prove_this_33, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.98/1.07 thf(zf_stmt_2, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 1.98/1.07 thf(zip_derived_cl35, plain,
% 1.98/1.07 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.98/1.07 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(associativity, axiom,
% 1.98/1.07 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.98/1.07 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.98/1.07 thf(zip_derived_cl2, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/1.07 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.98/1.07 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.98/1.07 inference('cnf', [status(esa)], [associativity])).
% 1.98/1.07 thf(zip_derived_cl98, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((multiply @ identity @ X0)
% 1.98/1.07 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.98/1.07 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.98/1.07 thf(zip_derived_cl0, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_identity])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl177, plain,
% 1.98/1.07 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 1.98/1.07 | ((inverse @ sk_c3) = (sk_c6)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl1779, plain,
% 1.98/1.07 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.98/1.07 | ((inverse @ sk_c3) = (sk_c6))
% 1.98/1.07 | ((inverse @ sk_c3) = (sk_c6)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl177])).
% 1.98/1.07 thf(zip_derived_cl1789, plain,
% 1.98/1.07 ((((inverse @ sk_c3) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl148, plain,
% 1.98/1.07 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl145, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl148, plain,
% 1.98/1.07 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl776, plain,
% 1.98/1.07 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl148])).
% 1.98/1.07 thf(zip_derived_cl1800, plain,
% 1.98/1.07 ((((sk_c3) = (inverse @ sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl776])).
% 1.98/1.07 thf(prove_this_25, conjecture,
% 1.98/1.07 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.98/1.07 thf(zf_stmt_3, negated_conjecture,
% 1.98/1.07 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.98/1.07 thf(zip_derived_cl27, plain,
% 1.98/1.07 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.98/1.07 thf(prove_this_32, conjecture,
% 1.98/1.07 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.98/1.07 thf(zf_stmt_4, negated_conjecture,
% 1.98/1.07 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 1.98/1.07 thf(zip_derived_cl34, plain,
% 1.98/1.07 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl176, plain,
% 1.98/1.07 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 1.98/1.07 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl3200, plain,
% 1.98/1.07 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.98/1.07 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl176])).
% 1.98/1.07 thf(zip_derived_cl3211, plain,
% 1.98/1.07 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.98/1.07 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl3200])).
% 1.98/1.07 thf(zip_derived_cl3274, plain,
% 1.98/1.07 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 1.98/1.07 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.98/1.07 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl1800, zip_derived_cl3211])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl3279, plain,
% 1.98/1.07 ((((identity) = (sk_c7))
% 1.98/1.07 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.98/1.07 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl3274, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl3280, plain,
% 1.98/1.07 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6)) | ((identity) = (sk_c7)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl3279])).
% 1.98/1.07 thf(prove_this_5, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.98/1.07 thf(zf_stmt_5, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.98/1.07 thf(zip_derived_cl7, plain,
% 1.98/1.07 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl46, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl151, plain,
% 1.98/1.07 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl130])).
% 1.98/1.07 thf(prove_this_4, conjecture,
% 1.98/1.07 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.98/1.07 thf(zf_stmt_6, negated_conjecture,
% 1.98/1.07 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.98/1.07 thf(zip_derived_cl6, plain,
% 1.98/1.07 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.98/1.07 thf(zip_derived_cl274, plain,
% 1.98/1.07 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.98/1.07 = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl6])).
% 1.98/1.07 thf(zip_derived_cl2, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/1.07 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.98/1.07 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.98/1.07 inference('cnf', [status(esa)], [associativity])).
% 1.98/1.07 thf(zip_derived_cl0, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_identity])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl277, plain,
% 1.98/1.07 ((((identity) = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('demod', [status(thm)],
% 1.98/1.07 [zip_derived_cl274, zip_derived_cl2, zip_derived_cl0,
% 1.98/1.07 zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl278, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl277])).
% 1.98/1.07 thf(zip_derived_cl3299, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 1.98/1.07 | ((identity) = (sk_c7))
% 1.98/1.07 | ((identity) = (sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl3280, zip_derived_cl278])).
% 1.98/1.07 thf(zip_derived_cl3311, plain,
% 1.98/1.07 ((((identity) = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl3299])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl3442, plain,
% 1.98/1.07 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c6)))
% 1.98/1.07 | ((identity) = (sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl3311, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl3449, plain,
% 1.98/1.07 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl3442, zip_derived_cl130])).
% 1.98/1.07 thf(prove_this_14, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.98/1.07 thf(zf_stmt_7, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.98/1.07 thf(zip_derived_cl16, plain,
% 1.98/1.07 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.98/1.07 thf(prove_this_21, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.98/1.07 thf(zf_stmt_8, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.98/1.07 thf(zip_derived_cl23, plain,
% 1.98/1.07 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl172, plain,
% 1.98/1.07 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 1.98/1.07 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl1636, plain,
% 1.98/1.07 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.98/1.07 | ((inverse @ sk_c4) = (sk_c7))
% 1.98/1.07 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl172])).
% 1.98/1.07 thf(zip_derived_cl1644, plain,
% 1.98/1.07 ((((inverse @ sk_c4) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl1636])).
% 1.98/1.07 thf(zip_derived_cl776, plain,
% 1.98/1.07 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl148])).
% 1.98/1.07 thf(zip_derived_cl1655, plain,
% 1.98/1.07 ((((sk_c4) = (inverse @ sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl1644, zip_derived_cl776])).
% 1.98/1.07 thf(prove_this_13, conjecture,
% 1.98/1.07 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.98/1.07 thf(zf_stmt_9, negated_conjecture,
% 1.98/1.07 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.98/1.07 thf(zip_derived_cl15, plain,
% 1.98/1.07 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.98/1.07 thf(prove_this_20, conjecture,
% 1.98/1.07 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.98/1.07 thf(zf_stmt_10, negated_conjecture,
% 1.98/1.07 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.98/1.07 thf(zip_derived_cl22, plain,
% 1.98/1.07 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl171, plain,
% 1.98/1.07 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 1.98/1.07 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl3105, plain,
% 1.98/1.07 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.98/1.07 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl171])).
% 1.98/1.07 thf(zip_derived_cl3114, plain,
% 1.98/1.07 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl3105])).
% 1.98/1.07 thf(zip_derived_cl5282, plain,
% 1.98/1.07 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.98/1.07 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl1655, zip_derived_cl3114])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl5287, plain,
% 1.98/1.07 ((((identity) = (sk_c5))
% 1.98/1.07 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.98/1.07 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl5282, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl5288, plain,
% 1.98/1.07 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((identity) = (sk_c5)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5287])).
% 1.98/1.07 thf(prove_this_10, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.98/1.07 thf(zf_stmt_11, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c7 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.98/1.07 thf(zip_derived_cl12, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.98/1.07 thf(prove_this_17, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.98/1.07 thf(zf_stmt_12, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.98/1.07 thf(zip_derived_cl19, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl168, plain,
% 1.98/1.07 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl527, plain,
% 1.98/1.07 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl168])).
% 1.98/1.07 thf(zip_derived_cl535, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl527])).
% 1.98/1.07 thf(zip_derived_cl5312, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (identity))
% 1.98/1.07 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.98/1.07 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl5288, zip_derived_cl535])).
% 1.98/1.07 thf(zip_derived_cl5330, plain,
% 1.98/1.07 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.98/1.07 | ((inverse @ sk_c7) = (identity)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5312])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl5333, plain,
% 1.98/1.07 ((((multiply @ identity @ sk_c7) = (identity))
% 1.98/1.07 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl5330, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl0, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_identity])).
% 1.98/1.07 thf(zip_derived_cl5360, plain,
% 1.98/1.07 ((((sk_c7) = (identity)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl5333, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl5371, plain,
% 1.98/1.07 ((((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.98/1.07 | ((sk_c7) = (identity)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl5360, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl5404, plain,
% 1.98/1.07 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6))
% 1.98/1.07 | ((identity) = (sk_c7))
% 1.98/1.07 | ((sk_c7) = (identity)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl3449, zip_derived_cl5371])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl5416, plain,
% 1.98/1.07 ((((sk_c7) = (identity))
% 1.98/1.07 | ((identity) = (sk_c7))
% 1.98/1.07 | ((sk_c7) = (identity)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl5404, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl0, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_identity])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl147, plain,
% 1.98/1.07 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl198, plain,
% 1.98/1.07 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl0, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_identity])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl5462, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (sk_c6))
% 1.98/1.07 | ((inverse @ X1) != (sk_c6))
% 1.98/1.07 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.98/1.07 | ((identity) != (sk_c5))
% 1.98/1.07 | ((sk_c6) != (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c6) != (identity))
% 1.98/1.07 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 1.98/1.07 | ((inverse @ X2) != (sk_c6))
% 1.98/1.07 | ((multiply @ X3 @ sk_c6) != (identity))
% 1.98/1.07 | ((inverse @ X3) != (identity))
% 1.98/1.07 | ((sk_c6) != (sk_c5)))),
% 1.98/1.07 inference('demod', [status(thm)],
% 1.98/1.07 [zip_derived_cl39, zip_derived_cl5417, zip_derived_cl5417,
% 1.98/1.07 zip_derived_cl737, zip_derived_cl5417, zip_derived_cl737,
% 1.98/1.07 zip_derived_cl5417, zip_derived_cl5417, zip_derived_cl514,
% 1.98/1.07 zip_derived_cl5417, zip_derived_cl5417, zip_derived_cl737,
% 1.98/1.07 zip_derived_cl0, zip_derived_cl5417, zip_derived_cl737,
% 1.98/1.07 zip_derived_cl5417, zip_derived_cl5417, zip_derived_cl737,
% 1.98/1.07 zip_derived_cl5417, zip_derived_cl5417, zip_derived_cl5417,
% 1.98/1.07 zip_derived_cl737])).
% 1.98/1.07 thf(zip_derived_cl5463, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((sk_c6) != (sk_c5))
% 1.98/1.07 | ((inverse @ X3) != (identity))
% 1.98/1.07 | ((multiply @ X3 @ sk_c6) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (sk_c6))
% 1.98/1.07 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c6) != (identity))
% 1.98/1.07 | ((identity) != (sk_c5))
% 1.98/1.07 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (sk_c6))
% 1.98/1.07 | ((X0) != (sk_c6))
% 1.98/1.07 | ((inverse @ X0) != (identity)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5462])).
% 1.98/1.07 thf(prove_this_2, conjecture,
% 1.98/1.07 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.98/1.07 thf(zf_stmt_13, negated_conjecture,
% 1.98/1.07 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.98/1.07 thf(zip_derived_cl4, plain,
% 1.98/1.07 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl0, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_identity])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl5429, plain, ((((sk_c5) = (sk_c6)) | ((sk_c6) = (sk_c5)))),
% 1.98/1.07 inference('demod', [status(thm)],
% 1.98/1.07 [zip_derived_cl4, zip_derived_cl5417, zip_derived_cl0,
% 1.98/1.07 zip_derived_cl5417, zip_derived_cl737])).
% 1.98/1.07 thf(zip_derived_cl5430, plain, (((sk_c5) = (sk_c6))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5429])).
% 1.98/1.07 thf(zip_derived_cl5430, plain, (((sk_c5) = (sk_c6))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5429])).
% 1.98/1.07 thf(zip_derived_cl5634, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((sk_c6) != (sk_c6))
% 1.98/1.07 | ((inverse @ X3) != (identity))
% 1.98/1.07 | ((multiply @ X3 @ sk_c6) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (sk_c6))
% 1.98/1.07 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c6) != (identity))
% 1.98/1.07 | ((identity) != (sk_c6))
% 1.98/1.07 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (sk_c6))
% 1.98/1.07 | ((X0) != (sk_c6))
% 1.98/1.07 | ((inverse @ X0) != (identity)))),
% 1.98/1.07 inference('demod', [status(thm)],
% 1.98/1.07 [zip_derived_cl5463, zip_derived_cl5430, zip_derived_cl5430])).
% 1.98/1.07 thf(zip_derived_cl5635, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (sk_c6))
% 1.98/1.07 | ((inverse @ X1) != (sk_c6))
% 1.98/1.07 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.98/1.07 | ((identity) != (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c6) != (identity))
% 1.98/1.07 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 1.98/1.07 | ((inverse @ X2) != (sk_c6))
% 1.98/1.07 | ((multiply @ X3 @ sk_c6) != (identity))
% 1.98/1.07 | ((inverse @ X3) != (identity)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5634])).
% 1.98/1.07 thf(zip_derived_cl5636, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((multiply @ X1 @ identity) != (identity))
% 1.98/1.07 | ((identity) != (sk_c6))
% 1.98/1.07 | ((multiply @ identity @ identity) != (identity))
% 1.98/1.07 | ((multiply @ X2 @ identity) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (identity))
% 1.98/1.07 | ((multiply @ X3 @ identity) != (identity))
% 1.98/1.07 | ((inverse @ X3) != (identity)))),
% 1.98/1.07 inference('local_rewriting', [status(thm)], [zip_derived_cl5635])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl0, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_identity])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl5637, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((identity) != (sk_c6))
% 1.98/1.07 | ((identity) != (identity))
% 1.98/1.07 | ((X2) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (identity))
% 1.98/1.07 | ((X3) != (identity))
% 1.98/1.07 | ((inverse @ X3) != (identity)))),
% 1.98/1.07 inference('demod', [status(thm)],
% 1.98/1.07 [zip_derived_cl5636, zip_derived_cl737, zip_derived_cl0,
% 1.98/1.07 zip_derived_cl737, zip_derived_cl737])).
% 1.98/1.07 thf(zip_derived_cl5638, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X3) != (identity))
% 1.98/1.07 | ((X3) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (identity))
% 1.98/1.07 | ((X2) != (identity))
% 1.98/1.07 | ((identity) != (sk_c6))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X0) != (identity)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.98/1.07 thf(prove_this_7, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.98/1.07 thf(zf_stmt_14, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.98/1.07 thf(zip_derived_cl9, plain,
% 1.98/1.07 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl47, plain,
% 1.98/1.07 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl157, plain,
% 1.98/1.07 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl130])).
% 1.98/1.07 thf(prove_this_6, conjecture,
% 1.98/1.07 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.98/1.07 thf(zf_stmt_15, negated_conjecture,
% 1.98/1.07 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.98/1.07 thf(zip_derived_cl8, plain,
% 1.98/1.07 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.98/1.07 thf(zip_derived_cl442, plain,
% 1.98/1.07 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.98/1.07 = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl8])).
% 1.98/1.07 thf(zip_derived_cl2, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/1.07 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.98/1.07 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.98/1.07 inference('cnf', [status(esa)], [associativity])).
% 1.98/1.07 thf(zip_derived_cl0, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_identity])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl445, plain,
% 1.98/1.07 ((((identity) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('demod', [status(thm)],
% 1.98/1.07 [zip_derived_cl442, zip_derived_cl2, zip_derived_cl0,
% 1.98/1.07 zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl446, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c5)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl445])).
% 1.98/1.07 thf(prove_this_24, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.98/1.07 thf(zf_stmt_16, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c7 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.98/1.07 thf(zip_derived_cl26, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.98/1.07 thf(zip_derived_cl1, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.98/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 1.98/1.07 thf(zip_derived_cl45, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl152, plain,
% 1.98/1.07 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl758, plain,
% 1.98/1.07 ((((sk_c2) = (inverse @ sk_c6)) | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl737])).
% 1.98/1.07 thf(prove_this_31, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.98/1.07 thf(zf_stmt_17, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.98/1.07 thf(zip_derived_cl33, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.98/1.07 thf(zip_derived_cl811, plain,
% 1.98/1.07 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl758, zip_derived_cl33])).
% 1.98/1.07 thf(zip_derived_cl831, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl811])).
% 1.98/1.07 thf(zip_derived_cl1980, plain,
% 1.98/1.07 ((((multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 1.98/1.07 | ((identity) = (sk_c5))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl446, zip_derived_cl831])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl1988, plain,
% 1.98/1.07 ((((sk_c7) = (sk_c6))
% 1.98/1.07 | ((identity) = (sk_c5))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl1980, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl446, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c5)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl445])).
% 1.98/1.07 thf(zip_derived_cl2029, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c7))
% 1.98/1.07 | ((identity) = (sk_c5))
% 1.98/1.07 | ((sk_c7) = (sk_c6))
% 1.98/1.07 | ((identity) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl1988, zip_derived_cl446])).
% 1.98/1.07 thf(zip_derived_cl2036, plain,
% 1.98/1.07 ((((sk_c7) = (sk_c6))
% 1.98/1.07 | ((identity) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c7)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl2029])).
% 1.98/1.07 thf(prove_this_1, conjecture,
% 1.98/1.07 (~( ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.98/1.07 thf(zf_stmt_18, negated_conjecture,
% 1.98/1.07 (( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.98/1.07 thf(zip_derived_cl3, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.98/1.07 thf(zip_derived_cl2078, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ identity) = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c7))
% 1.98/1.07 | ((sk_c7) = (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl2036, zip_derived_cl3])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl2104, plain,
% 1.98/1.07 ((((sk_c6) = (sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c7))
% 1.98/1.07 | ((sk_c7) = (sk_c6))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl2078, zip_derived_cl737])).
% 1.98/1.07 thf(zip_derived_cl2105, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c7))
% 1.98/1.07 | ((sk_c6) = (sk_c7)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl2104])).
% 1.98/1.07 thf(prove_this_3, conjecture,
% 1.98/1.07 (~( ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.98/1.07 thf(zf_stmt_19, negated_conjecture,
% 1.98/1.07 (( ( inverse @ sk_c7 ) = ( sk_c5 ) ) |
% 1.98/1.07 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 1.98/1.07 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.98/1.07 thf(zip_derived_cl5, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.98/1.07 thf(zip_derived_cl41, plain,
% 1.98/1.07 ((((inverse @ sk_c7) != (multiply @ sk_c6 @ sk_c7))
% 1.98/1.07 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('eq_fact', [status(thm)], [zip_derived_cl5])).
% 1.98/1.07 thf(zip_derived_cl2892, plain,
% 1.98/1.07 ((((sk_c6) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('clc', [status(thm)], [zip_derived_cl2105, zip_derived_cl41])).
% 1.98/1.07 thf(zip_derived_cl831, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5))
% 1.98/1.07 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl811])).
% 1.98/1.07 thf(zip_derived_cl2909, plain,
% 1.98/1.07 ((((multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 1.98/1.07 | ((sk_c6) = (sk_c7))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl2892, zip_derived_cl831])).
% 1.98/1.07 thf(zip_derived_cl130, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 1.98/1.07 thf(zip_derived_cl2920, plain,
% 1.98/1.07 ((((sk_c7) = (sk_c6))
% 1.98/1.07 | ((sk_c6) = (sk_c7))
% 1.98/1.07 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl2909, zip_derived_cl130])).
% 1.98/1.07 thf(zip_derived_cl2921, plain,
% 1.98/1.07 ((((inverse @ sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl2920])).
% 1.98/1.07 thf(zip_derived_cl2892, plain,
% 1.98/1.07 ((((sk_c6) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.98/1.07 inference('clc', [status(thm)], [zip_derived_cl2105, zip_derived_cl41])).
% 1.98/1.07 thf(zip_derived_cl2952, plain,
% 1.98/1.07 ((((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c7))
% 1.98/1.07 | ((sk_c7) = (sk_c6))
% 1.98/1.07 | ((sk_c6) = (sk_c7)))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl2921, zip_derived_cl2892])).
% 1.98/1.07 thf(zip_derived_cl2956, plain,
% 1.98/1.07 ((((sk_c7) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c7)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl2952])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl737, plain,
% 1.98/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 1.98/1.07 thf(zip_derived_cl5417, plain, (((sk_c7) = (identity))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5416])).
% 1.98/1.07 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl5581, plain,
% 1.98/1.07 ((((identity) = (sk_c6)) | ((sk_c6) = (identity)))),
% 1.98/1.07 inference('demod', [status(thm)],
% 1.98/1.07 [zip_derived_cl2956, zip_derived_cl5417, zip_derived_cl5417,
% 1.98/1.07 zip_derived_cl737, zip_derived_cl5417, zip_derived_cl514])).
% 1.98/1.07 thf(zip_derived_cl5582, plain, (((identity) = (sk_c6))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5581])).
% 1.98/1.07 thf(zip_derived_cl5650, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X3) != (identity))
% 1.98/1.07 | ((X3) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (identity))
% 1.98/1.07 | ((X2) != (identity))
% 1.98/1.07 | ((identity) != (identity))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X0) != (identity)))),
% 1.98/1.07 inference('demod', [status(thm)],
% 1.98/1.07 [zip_derived_cl5638, zip_derived_cl5582])).
% 1.98/1.07 thf(zip_derived_cl5651, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((X2) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (identity))
% 1.98/1.07 | ((X3) != (identity))
% 1.98/1.07 | ((inverse @ X3) != (identity)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5650])).
% 1.98/1.07 thf(zip_derived_cl5670, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((X2) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (identity))
% 1.98/1.07 | ((inverse @ identity) != (identity)))),
% 1.98/1.07 inference('eq_res', [status(thm)], [zip_derived_cl5651])).
% 1.98/1.07 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl5671, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((X2) != (identity))
% 1.98/1.07 | ((inverse @ X2) != (identity))
% 1.98/1.07 | ((identity) != (identity)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl5670, zip_derived_cl514])).
% 1.98/1.07 thf(zip_derived_cl5672, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/1.07 (((inverse @ X2) != (identity))
% 1.98/1.07 | ((X2) != (identity))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X0) != (identity)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5671])).
% 1.98/1.07 thf(zip_derived_cl5673, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((inverse @ identity) != (identity)))),
% 1.98/1.07 inference('eq_res', [status(thm)], [zip_derived_cl5672])).
% 1.98/1.07 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl5674, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X1) != (identity))
% 1.98/1.07 | ((identity) != (identity)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl5673, zip_derived_cl514])).
% 1.98/1.07 thf(zip_derived_cl5675, plain,
% 1.98/1.07 (![X0 : $i, X1 : $i]:
% 1.98/1.07 (((X1) != (identity))
% 1.98/1.07 | ((inverse @ X1) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ X0) != (identity)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5674])).
% 1.98/1.07 thf(zip_derived_cl5676, plain,
% 1.98/1.07 (![X0 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((inverse @ identity) != (identity)))),
% 1.98/1.07 inference('eq_res', [status(thm)], [zip_derived_cl5675])).
% 1.98/1.07 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl5677, plain,
% 1.98/1.07 (![X0 : $i]:
% 1.98/1.07 (((inverse @ X0) != (identity))
% 1.98/1.07 | ((X0) != (identity))
% 1.98/1.07 | ((identity) != (identity)))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl5676, zip_derived_cl514])).
% 1.98/1.07 thf(zip_derived_cl5678, plain,
% 1.98/1.07 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5677])).
% 1.98/1.07 thf(zip_derived_cl5679, plain, (((inverse @ identity) != (identity))),
% 1.98/1.07 inference('eq_res', [status(thm)], [zip_derived_cl5678])).
% 1.98/1.07 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.98/1.07 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 1.98/1.07 thf(zip_derived_cl5680, plain, (((identity) != (identity))),
% 1.98/1.07 inference('demod', [status(thm)], [zip_derived_cl5679, zip_derived_cl514])).
% 1.98/1.07 thf(zip_derived_cl5681, plain, ($false),
% 1.98/1.07 inference('simplify', [status(thm)], [zip_derived_cl5680])).
% 1.98/1.07
% 1.98/1.07 % SZS output end Refutation
% 1.98/1.07
% 1.98/1.07
% 1.98/1.07 % Terminating...
% 2.47/1.15 % Runner terminated.
% 2.47/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------