TSTP Solution File: GRP275-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP275-1 : 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.zbxFXb86V7 true
% Computer : n007.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 01:51:00 EDT 2023
% Result : Unsatisfiable 47.62s 7.41s
% Output : Refutation 47.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zbxFXb86V7 true
% 0.13/0.33 % Computer : n007.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 : Mon Aug 28 23:44:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 47.62/7.41 % Solved by fo/fo13.sh.
% 47.62/7.41 % done 8006 iterations in 6.627s
% 47.62/7.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 47.62/7.41 % SZS output start Refutation
% 47.62/7.41 thf(sk_c5_type, type, sk_c5: $i).
% 47.62/7.41 thf(sk_c7_type, type, sk_c7: $i).
% 47.62/7.41 thf(sk_c4_type, type, sk_c4: $i).
% 47.62/7.41 thf(sk_c3_type, type, sk_c3: $i).
% 47.62/7.41 thf(identity_type, type, identity: $i).
% 47.62/7.41 thf(multiply_type, type, multiply: $i > $i > $i).
% 47.62/7.41 thf(sk_c8_type, type, sk_c8: $i).
% 47.62/7.41 thf(inverse_type, type, inverse: $i > $i).
% 47.62/7.41 thf(sk_c6_type, type, sk_c6: $i).
% 47.62/7.41 thf(sk_c2_type, type, sk_c2: $i).
% 47.62/7.41 thf(sk_c1_type, type, sk_c1: $i).
% 47.62/7.41 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(associativity, axiom,
% 47.62/7.41 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 47.62/7.41 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 47.62/7.41 thf(zip_derived_cl2, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.62/7.41 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 47.62/7.41 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 47.62/7.41 inference('cnf', [status(esa)], [associativity])).
% 47.62/7.41 thf(zip_derived_cl50, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((multiply @ identity @ X0)
% 47.62/7.41 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 47.62/7.41 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 47.62/7.41 thf(zip_derived_cl0, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_identity])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl144, plain,
% 47.62/7.41 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl141, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl1397, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 47.62/7.41 thf(prove_this_15, conjecture,
% 47.62/7.41 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 47.62/7.41 thf(zf_stmt_0, negated_conjecture,
% 47.62/7.41 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 47.62/7.41 thf(zip_derived_cl17, plain,
% 47.62/7.41 ((((multiply @ sk_c3 @ sk_c7) = (sk_c8))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 47.62/7.41 thf(prove_this_14, conjecture,
% 47.62/7.41 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 47.62/7.41 thf(zf_stmt_1, negated_conjecture,
% 47.62/7.41 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 47.62/7.41 thf(zip_derived_cl16, plain,
% 47.62/7.41 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_1])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl44, plain,
% 47.62/7.41 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c3) = (identity)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 47.62/7.41 thf(zip_derived_cl2, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.62/7.41 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 47.62/7.41 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 47.62/7.41 inference('cnf', [status(esa)], [associativity])).
% 47.62/7.41 thf(zip_derived_cl95, plain,
% 47.62/7.41 (![X0 : $i]:
% 47.62/7.41 (((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 47.62/7.41 | ((multiply @ identity @ X0)
% 47.62/7.41 = (multiply @ sk_c8 @ (multiply @ sk_c3 @ X0))))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl2])).
% 47.62/7.41 thf(zip_derived_cl0, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_identity])).
% 47.62/7.41 thf(zip_derived_cl96, plain,
% 47.62/7.41 (![X0 : $i]:
% 47.62/7.41 (((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 47.62/7.41 | ((X0) = (multiply @ sk_c8 @ (multiply @ sk_c3 @ X0))))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl129, plain,
% 47.62/7.41 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 47.62/7.41 | ((sk_c7) = (multiply @ sk_c8 @ sk_c8)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl96])).
% 47.62/7.41 thf(zip_derived_cl132, plain,
% 47.62/7.41 ((((sk_c7) = (multiply @ sk_c8 @ sk_c8))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 47.62/7.41 thf(prove_this_10, conjecture,
% 47.62/7.41 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 47.62/7.41 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 47.62/7.41 thf(zf_stmt_2, negated_conjecture,
% 47.62/7.41 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 47.62/7.41 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 47.62/7.41 thf(zip_derived_cl12, plain,
% 47.62/7.41 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_2])).
% 47.62/7.41 thf(prove_this_4, conjecture,
% 47.62/7.41 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 47.62/7.41 thf(zf_stmt_3, negated_conjecture,
% 47.62/7.41 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 47.62/7.41 thf(zip_derived_cl6, plain,
% 47.62/7.41 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 47.62/7.41 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_3])).
% 47.62/7.41 thf(prove_this_5, conjecture,
% 47.62/7.41 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 47.62/7.41 thf(zf_stmt_4, negated_conjecture,
% 47.62/7.41 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 47.62/7.41 thf(zip_derived_cl7, plain,
% 47.62/7.41 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_4])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl39, plain,
% 47.62/7.41 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 47.62/7.41 | ((multiply @ sk_c5 @ sk_c4) = (identity)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 47.62/7.41 thf(zip_derived_cl2, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.62/7.41 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 47.62/7.41 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 47.62/7.41 inference('cnf', [status(esa)], [associativity])).
% 47.62/7.41 thf(zip_derived_cl84, plain,
% 47.62/7.41 (![X0 : $i]:
% 47.62/7.41 (((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 47.62/7.41 | ((multiply @ identity @ X0)
% 47.62/7.41 = (multiply @ sk_c5 @ (multiply @ sk_c4 @ X0))))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl2])).
% 47.62/7.41 thf(zip_derived_cl0, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_identity])).
% 47.62/7.41 thf(zip_derived_cl85, plain,
% 47.62/7.41 (![X0 : $i]:
% 47.62/7.41 (((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 47.62/7.41 | ((X0) = (multiply @ sk_c5 @ (multiply @ sk_c4 @ X0))))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl120, plain,
% 47.62/7.41 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 47.62/7.41 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 47.62/7.41 | ((sk_c5) = (multiply @ sk_c5 @ sk_c7)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl85])).
% 47.62/7.41 thf(zip_derived_cl124, plain,
% 47.62/7.41 ((((sk_c5) = (multiply @ sk_c5 @ sk_c7))
% 47.62/7.41 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl171, plain,
% 47.62/7.41 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 47.62/7.41 | ((sk_c7) = (multiply @ (inverse @ sk_c5) @ sk_c5)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl204, plain,
% 47.62/7.41 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7)) | ((sk_c7) = (identity)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl207, plain,
% 47.62/7.41 ((((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c8) = (multiply @ (inverse @ sk_c1) @ sk_c7)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl209, plain,
% 47.62/7.41 ((((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c7) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c8)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl220, plain,
% 47.62/7.41 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 47.62/7.41 | ((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c7) = (multiply @ (inverse @ sk_c8) @ sk_c8)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl209])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl228, plain,
% 47.62/7.41 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 47.62/7.41 | ((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c7) = (identity)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl1])).
% 47.62/7.41 thf(zip_derived_cl229, plain,
% 47.62/7.41 ((((sk_c7) = (identity)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl228])).
% 47.62/7.41 thf(prove_this_11, conjecture,
% 47.62/7.41 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 47.62/7.41 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 47.62/7.41 thf(zf_stmt_5, negated_conjecture,
% 47.62/7.41 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 47.62/7.41 thf(zip_derived_cl13, plain,
% 47.62/7.41 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c8)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_5])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl36, plain,
% 47.62/7.41 ((((inverse @ sk_c1) = (sk_c8))
% 47.62/7.41 | ((multiply @ sk_c5 @ sk_c4) = (identity)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 47.62/7.41 thf(zip_derived_cl209, plain,
% 47.62/7.41 ((((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c7) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c8)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl223, plain,
% 47.62/7.41 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 47.62/7.41 | ((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c7) = (multiply @ (inverse @ sk_c8) @ sk_c8)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl209])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl234, plain,
% 47.62/7.41 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 47.62/7.41 | ((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c7) = (identity)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl223, zip_derived_cl1])).
% 47.62/7.41 thf(zip_derived_cl235, plain,
% 47.62/7.41 ((((sk_c7) = (identity)) | ((multiply @ sk_c5 @ sk_c4) = (identity)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl234])).
% 47.62/7.41 thf(zip_derived_cl2, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.62/7.41 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 47.62/7.41 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 47.62/7.41 inference('cnf', [status(esa)], [associativity])).
% 47.62/7.41 thf(zip_derived_cl276, plain,
% 47.62/7.41 (![X0 : $i]:
% 47.62/7.41 (((sk_c7) = (identity))
% 47.62/7.41 | ((multiply @ identity @ X0)
% 47.62/7.41 = (multiply @ sk_c5 @ (multiply @ sk_c4 @ X0))))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl235, zip_derived_cl2])).
% 47.62/7.41 thf(zip_derived_cl0, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_identity])).
% 47.62/7.41 thf(zip_derived_cl278, plain,
% 47.62/7.41 (![X0 : $i]:
% 47.62/7.41 (((sk_c7) = (identity))
% 47.62/7.41 | ((X0) = (multiply @ sk_c5 @ (multiply @ sk_c4 @ X0))))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl457, plain,
% 47.62/7.41 ((((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c5) = (multiply @ sk_c5 @ sk_c7)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl278])).
% 47.62/7.41 thf(zip_derived_cl458, plain,
% 47.62/7.41 ((((sk_c5) = (multiply @ sk_c5 @ sk_c7)) | ((sk_c7) = (identity)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl457])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl461, plain,
% 47.62/7.41 ((((sk_c7) = (identity))
% 47.62/7.41 | ((sk_c7) = (multiply @ (inverse @ sk_c5) @ sk_c5)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl463, plain,
% 47.62/7.41 ((((sk_c7) = (identity)) | ((sk_c7) = (identity)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl461, zip_derived_cl1])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl515, plain,
% 47.62/7.41 ((((identity) = (multiply @ sk_c8 @ sk_c8))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c6) = (identity)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl132, zip_derived_cl464, zip_derived_cl464])).
% 47.62/7.41 thf(prove_this_19, conjecture,
% 47.62/7.41 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 47.62/7.41 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 47.62/7.41 thf(zf_stmt_6, negated_conjecture,
% 47.62/7.41 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 47.62/7.41 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 47.62/7.41 thf(zip_derived_cl21, plain,
% 47.62/7.41 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c8)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_6])).
% 47.62/7.41 thf(prove_this_25, conjecture,
% 47.62/7.41 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 47.62/7.41 thf(zf_stmt_7, negated_conjecture,
% 47.62/7.41 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 47.62/7.41 thf(zip_derived_cl27, plain,
% 47.62/7.41 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 47.62/7.41 | ((multiply @ sk_c2 @ sk_c7) = (sk_c8)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_7])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl176, plain,
% 47.62/7.41 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 47.62/7.41 | ((sk_c7) = (multiply @ (inverse @ sk_c2) @ sk_c8)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl415, plain,
% 47.62/7.41 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 47.62/7.41 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 47.62/7.41 | ((sk_c7) = (multiply @ sk_c8 @ sk_c8)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl176])).
% 47.62/7.41 thf(zip_derived_cl421, plain,
% 47.62/7.41 ((((sk_c7) = (multiply @ sk_c8 @ sk_c8))
% 47.62/7.41 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl415])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl0, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_identity])).
% 47.62/7.41 thf(zip_derived_cl528, plain,
% 47.62/7.41 ((((identity) = (multiply @ sk_c8 @ sk_c8)) | ((sk_c8) = (sk_c6)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl421, zip_derived_cl464, zip_derived_cl464,
% 47.62/7.41 zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl564, plain,
% 47.62/7.41 ((((sk_c8) = (sk_c6))
% 47.62/7.41 | ((sk_c8) = (multiply @ (inverse @ sk_c8) @ identity)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl528, zip_derived_cl52])).
% 47.62/7.41 thf(prove_this_13, conjecture,
% 47.62/7.41 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 47.62/7.41 thf(zf_stmt_8, negated_conjecture,
% 47.62/7.41 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 47.62/7.41 thf(zip_derived_cl15, plain,
% 47.62/7.41 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_8])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl0, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_identity])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl475, plain,
% 47.62/7.41 ((((sk_c8) = (sk_c6)) | ((multiply @ sk_c8 @ sk_c6) = (identity)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl15, zip_derived_cl464, zip_derived_cl0,
% 47.62/7.41 zip_derived_cl464])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl550, plain,
% 47.62/7.41 ((((sk_c8) = (sk_c6))
% 47.62/7.41 | ((sk_c6) = (multiply @ (inverse @ sk_c8) @ identity)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl475, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl809, plain,
% 47.62/7.41 ((((sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c6)) | ((sk_c6) = (sk_c8)))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl550])).
% 47.62/7.41 thf(zip_derived_cl813, plain, (((sk_c8) = (sk_c6))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl809])).
% 47.62/7.41 thf(zip_derived_cl1151, plain,
% 47.62/7.41 ((((identity) = (multiply @ sk_c8 @ sk_c8))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c8) = (identity)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl515, zip_derived_cl813])).
% 47.62/7.41 thf(zip_derived_cl1152, plain, (((identity) = (multiply @ sk_c8 @ sk_c8))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl1151])).
% 47.62/7.41 thf(zip_derived_cl52, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 47.62/7.41 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 47.62/7.41 thf(zip_derived_cl1158, plain,
% 47.62/7.41 (((sk_c8) = (multiply @ (inverse @ sk_c8) @ identity))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl1152, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl1735, plain, (((sk_c8) = (inverse @ sk_c8))),
% 47.62/7.41 inference('s_sup+', [status(thm)],
% 47.62/7.41 [zip_derived_cl1397, zip_derived_cl1158])).
% 47.62/7.41 thf(prove_this_31, conjecture,
% 47.62/7.41 (~( ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 47.62/7.41 ( ( inverse @ X5 ) != ( X2 ) ) |
% 47.62/7.41 ( ( multiply @ X5 @ X2 ) != ( sk_c7 ) ) |
% 47.62/7.41 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 47.62/7.41 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 47.62/7.41 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 47.62/7.41 thf(zf_stmt_9, negated_conjecture,
% 47.62/7.41 (( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 47.62/7.41 ( ( inverse @ X5 ) != ( X2 ) ) |
% 47.62/7.41 ( ( multiply @ X5 @ X2 ) != ( sk_c7 ) ) |
% 47.62/7.41 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 47.62/7.41 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 47.62/7.41 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 47.62/7.41 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) )),
% 47.62/7.41 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 47.62/7.41 thf(zip_derived_cl33, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 47.62/7.41 (((multiply @ X0 @ sk_c8) != (sk_c7))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (sk_c7))
% 47.62/7.41 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 47.62/7.41 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 47.62/7.41 | ((inverse @ X3) != (sk_c8))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c6) != (sk_c7))
% 47.62/7.41 | ((inverse @ X4) != (sk_c8))
% 47.62/7.41 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 47.62/7.41 inference('cnf', [status(esa)], [zf_stmt_9])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl0, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_identity])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl464, plain, (((sk_c7) = (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 47.62/7.41 thf(zip_derived_cl491, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 47.62/7.41 (((multiply @ X0 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((multiply @ X2 @ identity) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((sk_c8) != (sk_c6))
% 47.62/7.41 | ((multiply @ X3 @ identity) != (sk_c8))
% 47.62/7.41 | ((inverse @ X3) != (sk_c8))
% 47.62/7.41 | ((multiply @ sk_c8 @ sk_c6) != (identity))
% 47.62/7.41 | ((inverse @ X4) != (sk_c8))
% 47.62/7.41 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl33, zip_derived_cl464, zip_derived_cl464,
% 47.62/7.41 zip_derived_cl464, zip_derived_cl464, zip_derived_cl0,
% 47.62/7.41 zip_derived_cl464, zip_derived_cl464, zip_derived_cl464])).
% 47.62/7.41 thf(zip_derived_cl1397, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 47.62/7.41 thf(zip_derived_cl813, plain, (((sk_c8) = (sk_c6))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl809])).
% 47.62/7.41 thf(zip_derived_cl1397, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 47.62/7.41 thf(zip_derived_cl813, plain, (((sk_c8) = (sk_c6))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl809])).
% 47.62/7.41 thf(zip_derived_cl1152, plain, (((identity) = (multiply @ sk_c8 @ sk_c8))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl1151])).
% 47.62/7.41 thf(zip_derived_cl3494, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 47.62/7.41 (((multiply @ X0 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((X2) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((sk_c8) != (sk_c8))
% 47.62/7.41 | ((X3) != (sk_c8))
% 47.62/7.41 | ((inverse @ X3) != (sk_c8))
% 47.62/7.41 | ((identity) != (identity))
% 47.62/7.41 | ((inverse @ X4) != (sk_c8))
% 47.62/7.41 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl491, zip_derived_cl1397, zip_derived_cl813,
% 47.62/7.41 zip_derived_cl1397, zip_derived_cl813, zip_derived_cl1152])).
% 47.62/7.41 thf(zip_derived_cl3495, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 47.62/7.41 (((multiply @ X4 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X4) != (sk_c8))
% 47.62/7.41 | ((inverse @ X3) != (sk_c8))
% 47.62/7.41 | ((X3) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((X2) != (sk_c8))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl3494])).
% 47.62/7.41 thf(zip_derived_cl3496, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.62/7.41 (((multiply @ X0 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((X2) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((inverse @ sk_c8) != (sk_c8))
% 47.62/7.41 | ((inverse @ X3) != (sk_c8))
% 47.62/7.41 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('eq_res', [status(thm)], [zip_derived_cl3495])).
% 47.62/7.41 thf(zip_derived_cl1735, plain, (((sk_c8) = (inverse @ sk_c8))),
% 47.62/7.41 inference('s_sup+', [status(thm)],
% 47.62/7.41 [zip_derived_cl1397, zip_derived_cl1158])).
% 47.62/7.41 thf(zip_derived_cl3497, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.62/7.41 (((multiply @ X0 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((X2) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((sk_c8) != (sk_c8))
% 47.62/7.41 | ((inverse @ X3) != (sk_c8))
% 47.62/7.41 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl3496, zip_derived_cl1735])).
% 47.62/7.41 thf(zip_derived_cl3498, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.62/7.41 (((multiply @ X3 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X3) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((X2) != (sk_c8))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl3497])).
% 47.62/7.41 thf(zip_derived_cl93820, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.62/7.41 (((multiply @ X0 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((inverse @ sk_c8) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((multiply @ X2 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('eq_res', [status(thm)], [zip_derived_cl3498])).
% 47.62/7.41 thf(zip_derived_cl1735, plain, (((sk_c8) = (inverse @ sk_c8))),
% 47.62/7.41 inference('s_sup+', [status(thm)],
% 47.62/7.41 [zip_derived_cl1397, zip_derived_cl1158])).
% 47.62/7.41 thf(zip_derived_cl93821, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.62/7.41 (((multiply @ X0 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((sk_c8) != (sk_c8))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((multiply @ X2 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl93820, zip_derived_cl1735])).
% 47.62/7.41 thf(zip_derived_cl93822, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.62/7.41 (((multiply @ X2 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X2) != (sk_c8))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl93821])).
% 47.62/7.41 thf(zip_derived_cl94302, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 (((multiply @ sk_c8 @ sk_c8) != (identity))
% 47.62/7.41 | ((sk_c8) != (sk_c8))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('s_sup-', [status(thm)],
% 47.62/7.41 [zip_derived_cl1735, zip_derived_cl93822])).
% 47.62/7.41 thf(zip_derived_cl1152, plain, (((identity) = (multiply @ sk_c8 @ sk_c8))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl1151])).
% 47.62/7.41 thf(zip_derived_cl94419, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 (((identity) != (identity))
% 47.62/7.41 | ((sk_c8) != (sk_c8))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl94302, zip_derived_cl1152])).
% 47.62/7.41 thf(zip_derived_cl94420, plain,
% 47.62/7.41 (![X0 : $i, X1 : $i]:
% 47.62/7.41 (((multiply @ X0 @ sk_c8) != (identity))
% 47.62/7.41 | ((inverse @ X1) != (X0))
% 47.62/7.41 | ((multiply @ X1 @ X0) != (identity)))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl94419])).
% 47.62/7.41 thf(zip_derived_cl94753, plain,
% 47.62/7.41 (![X0 : $i]:
% 47.62/7.41 (((multiply @ X0 @ (inverse @ X0)) != (identity))
% 47.62/7.41 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity)))),
% 47.62/7.41 inference('eq_res', [status(thm)], [zip_derived_cl94420])).
% 47.62/7.41 thf(zip_derived_cl1397, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 47.62/7.41 thf(zip_derived_cl144, plain,
% 47.62/7.41 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl52])).
% 47.62/7.41 thf(zip_derived_cl1734, plain,
% 47.62/7.41 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 47.62/7.41 inference('s_sup+', [status(thm)],
% 47.62/7.41 [zip_derived_cl1397, zip_derived_cl144])).
% 47.62/7.41 thf(zip_derived_cl1, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 47.62/7.41 inference('cnf', [status(esa)], [left_inverse])).
% 47.62/7.41 thf(zip_derived_cl1878, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 47.62/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl1734, zip_derived_cl1])).
% 47.62/7.41 thf(zip_derived_cl94754, plain,
% 47.62/7.41 (![X0 : $i]:
% 47.62/7.41 (((identity) != (identity))
% 47.62/7.41 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity)))),
% 47.62/7.41 inference('demod', [status(thm)],
% 47.62/7.41 [zip_derived_cl94753, zip_derived_cl1878])).
% 47.62/7.41 thf(zip_derived_cl94755, plain,
% 47.62/7.41 (![X0 : $i]: ((multiply @ (inverse @ X0) @ sk_c8) != (identity))),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl94754])).
% 47.62/7.41 thf(zip_derived_cl94787, plain, (((identity) != (identity))),
% 47.62/7.41 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl94755])).
% 47.62/7.41 thf(zip_derived_cl94967, plain, ($false),
% 47.62/7.41 inference('simplify', [status(thm)], [zip_derived_cl94787])).
% 47.62/7.41
% 47.62/7.41 % SZS output end Refutation
% 47.62/7.41
% 47.62/7.41
% 47.62/7.41 % Terminating...
% 47.62/7.47 % Runner terminated.
% 47.62/7.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------