TSTP Solution File: GRP262-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP262-1 : 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.7IDsvFYjx2 true
% Computer : n016.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 01:50:57 EDT 2023
% Result : Unsatisfiable 4.58s 1.27s
% Output : Refutation 4.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP262-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7IDsvFYjx2 true
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 20:16:00 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.58/1.27 % Solved by fo/fo13.sh.
% 4.58/1.27 % done 1366 iterations in 0.473s
% 4.58/1.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.58/1.27 % SZS output start Refutation
% 4.58/1.27 thf(sk_c2_type, type, sk_c2: $i).
% 4.58/1.27 thf(sk_c6_type, type, sk_c6: $i).
% 4.58/1.27 thf(sk_c4_type, type, sk_c4: $i).
% 4.58/1.27 thf(sk_c3_type, type, sk_c3: $i).
% 4.58/1.27 thf(identity_type, type, identity: $i).
% 4.58/1.27 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.58/1.27 thf(sk_c7_type, type, sk_c7: $i).
% 4.58/1.27 thf(inverse_type, type, inverse: $i > $i).
% 4.58/1.27 thf(sk_c5_type, type, sk_c5: $i).
% 4.58/1.27 thf(sk_c1_type, type, sk_c1: $i).
% 4.58/1.27 thf(prove_this_26, conjecture,
% 4.58/1.27 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 4.58/1.27 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 4.58/1.27 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c5 @ sk_c7 ) != ( sk_c6 ) ) |
% 4.58/1.27 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 4.58/1.27 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 4.58/1.27 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 4.58/1.27 thf(zf_stmt_0, negated_conjecture,
% 4.58/1.27 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 4.58/1.27 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 4.58/1.27 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c5 @ sk_c7 ) != ( sk_c6 ) ) |
% 4.58/1.27 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 4.58/1.27 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 4.58/1.27 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 4.58/1.27 thf(zip_derived_cl28, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.58/1.27 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 4.58/1.27 | ((inverse @ X0) != (sk_c6))
% 4.58/1.27 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 4.58/1.27 | ((inverse @ X1) != (sk_c7))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c5 @ sk_c7) != (sk_c6))
% 4.58/1.27 | ((inverse @ X2) != (sk_c6))
% 4.58/1.27 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 4.58/1.27 | ((inverse @ X3) != (sk_c7))
% 4.58/1.27 | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.58/1.27 thf(prove_this_19, conjecture,
% 4.58/1.27 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 4.58/1.27 thf(zf_stmt_1, negated_conjecture,
% 4.58/1.27 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 4.58/1.27 thf(zip_derived_cl21, plain,
% 4.58/1.27 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.58/1.27 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 4.58/1.27 thf(zip_derived_cl1, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.27 thf(associativity, axiom,
% 4.58/1.27 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 4.58/1.27 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 4.58/1.27 thf(zip_derived_cl2, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.27 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.58/1.27 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.58/1.27 inference('cnf', [status(esa)], [associativity])).
% 4.58/1.27 thf(zip_derived_cl39, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((multiply @ identity @ X0)
% 4.58/1.27 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.58/1.27 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 4.58/1.27 thf(zip_derived_cl0, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl180, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((inverse @ sk_c4) = (sk_c6))
% 4.58/1.27 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl324, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((inverse @ sk_c4) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c2 @ X0) = (multiply @ (inverse @ sk_c6) @ X0)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl1, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.27 thf(zip_derived_cl892, plain,
% 4.58/1.27 ((((inverse @ sk_c4) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c2 @ sk_c6) = (identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl324, zip_derived_cl1])).
% 4.58/1.27 thf(zip_derived_cl1, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.27 thf(zip_derived_cl901, plain,
% 4.58/1.27 ((((multiply @ sk_c2 @ sk_c6) = (identity))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl892, zip_derived_cl1])).
% 4.58/1.27 thf(prove_this_14, conjecture,
% 4.58/1.27 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.58/1.27 thf(zf_stmt_2, negated_conjecture,
% 4.58/1.27 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 4.58/1.27 thf(zip_derived_cl16, plain,
% 4.58/1.27 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.58/1.27 thf(zip_derived_cl1, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.27 thf(zip_derived_cl46, plain,
% 4.58/1.27 ((((multiply @ sk_c2 @ sk_c6) = (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 4.58/1.27 thf(zip_derived_cl916, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 4.58/1.27 | ((identity) = (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl901, zip_derived_cl46])).
% 4.58/1.27 thf(zip_derived_cl919, plain,
% 4.58/1.27 ((((identity) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl916])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl921, plain,
% 4.58/1.27 ((((identity) = (sk_c5))
% 4.58/1.27 | ((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl919, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl2, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.27 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.58/1.27 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.58/1.27 inference('cnf', [status(esa)], [associativity])).
% 4.58/1.27 thf(zip_derived_cl956, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((identity) = (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c4 @ X0)
% 4.58/1.27 = (multiply @ (inverse @ sk_c6) @ (multiply @ identity @ X0))))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl921, zip_derived_cl2])).
% 4.58/1.27 thf(zip_derived_cl0, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.27 thf(zip_derived_cl961, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((identity) = (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c4 @ X0) = (multiply @ (inverse @ sk_c6) @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl956, zip_derived_cl0])).
% 4.58/1.27 thf(prove_this_11, conjecture,
% 4.58/1.27 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.58/1.27 thf(zf_stmt_3, negated_conjecture,
% 4.58/1.27 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 4.58/1.27 thf(zip_derived_cl13, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.58/1.27 thf(prove_this_16, conjecture,
% 4.58/1.27 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.58/1.27 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 4.58/1.27 thf(zf_stmt_4, negated_conjecture,
% 4.58/1.27 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.58/1.27 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 4.58/1.27 thf(zip_derived_cl18, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.58/1.27 thf(zip_derived_cl1, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.27 thf(zip_derived_cl47, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c2) = (identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 4.58/1.27 thf(zip_derived_cl2, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.27 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.58/1.27 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.58/1.27 inference('cnf', [status(esa)], [associativity])).
% 4.58/1.27 thf(zip_derived_cl82, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.27 | ((multiply @ identity @ X0)
% 4.58/1.27 = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl2])).
% 4.58/1.27 thf(zip_derived_cl0, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.27 thf(zip_derived_cl83, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.27 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl112, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.27 | ((sk_c6) = (multiply @ sk_c6 @ sk_c5)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl83])).
% 4.58/1.27 thf(zip_derived_cl117, plain,
% 4.58/1.27 ((((sk_c6) = (multiply @ sk_c6 @ sk_c5))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl112])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl140, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.27 | ((sk_c5) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl1, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.27 thf(zip_derived_cl182, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((sk_c5) = (identity)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl1])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl185, plain,
% 4.58/1.27 ((((sk_c5) = (identity))
% 4.58/1.27 | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl993, plain,
% 4.58/1.27 ((((identity) = (sk_c5))
% 4.58/1.27 | ((sk_c5) = (identity))
% 4.58/1.27 | ((sk_c7) = (multiply @ sk_c4 @ sk_c5)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl961, zip_derived_cl185])).
% 4.58/1.27 thf(zip_derived_cl997, plain,
% 4.58/1.27 ((((sk_c7) = (multiply @ sk_c4 @ sk_c5)) | ((identity) = (sk_c5)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl993])).
% 4.58/1.27 thf(prove_this_20, conjecture,
% 4.58/1.27 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 4.58/1.27 thf(zf_stmt_5, negated_conjecture,
% 4.58/1.27 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 4.58/1.27 thf(zip_derived_cl22, plain,
% 4.58/1.27 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.58/1.27 thf(prove_this_15, conjecture,
% 4.58/1.27 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.58/1.27 thf(zf_stmt_6, negated_conjecture,
% 4.58/1.27 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 4.58/1.27 thf(zip_derived_cl17, plain,
% 4.58/1.27 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl159, plain,
% 4.58/1.27 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 4.58/1.27 | ((sk_c6) = (multiply @ (inverse @ sk_c2) @ sk_c5)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl497, plain,
% 4.58/1.27 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 4.58/1.27 | ((sk_c6) = (multiply @ sk_c6 @ sk_c5)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl159])).
% 4.58/1.27 thf(zip_derived_cl498, plain,
% 4.58/1.27 ((((sk_c6) = (multiply @ sk_c6 @ sk_c5))
% 4.58/1.27 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl497])).
% 4.58/1.27 thf(zip_derived_cl1023, plain,
% 4.58/1.27 ((((identity) = (sk_c5))
% 4.58/1.27 | ((sk_c6) = (multiply @ sk_c6 @ sk_c5))
% 4.58/1.27 | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl997, zip_derived_cl498])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl1212, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((identity) = (sk_c5))
% 4.58/1.27 | ((sk_c5) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl1023, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl1, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.27 thf(zip_derived_cl1223, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c5)) | ((sk_c5) = (identity)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl1212, zip_derived_cl1])).
% 4.58/1.27 thf(zip_derived_cl1224, plain,
% 4.58/1.27 ((((identity) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1223])).
% 4.58/1.27 thf(prove_this_24, conjecture,
% 4.58/1.27 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 4.58/1.27 thf(zf_stmt_7, negated_conjecture,
% 4.58/1.27 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 4.58/1.27 thf(zip_derived_cl26, plain,
% 4.58/1.27 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.58/1.27 thf(zip_derived_cl1, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.27 thf(zip_derived_cl51, plain,
% 4.58/1.27 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 4.58/1.27 thf(zip_derived_cl1263, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ identity @ sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl1224, zip_derived_cl51])).
% 4.58/1.27 thf(zip_derived_cl0, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.27 thf(zip_derived_cl1298, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl1263, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl1299, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c4) = (identity)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1298])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl1382, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl1299, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl1224, plain,
% 4.58/1.27 ((((identity) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1223])).
% 4.58/1.27 thf(prove_this_21, conjecture,
% 4.58/1.27 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 4.58/1.27 thf(zf_stmt_8, negated_conjecture,
% 4.58/1.27 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 4.58/1.27 thf(zip_derived_cl23, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.58/1.27 thf(zip_derived_cl1258, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c7) = (identity))
% 4.58/1.27 | ((multiply @ identity @ sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl1224, zip_derived_cl23])).
% 4.58/1.27 thf(zip_derived_cl0, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.27 thf(zip_derived_cl1292, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c7) = (identity))
% 4.58/1.27 | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl1258, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl1293, plain,
% 4.58/1.27 ((((multiply @ sk_c6 @ sk_c7) = (identity)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1292])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl1316, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl1293, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl1553, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c4)))),
% 4.58/1.27 inference('s_sup+', [status(thm)],
% 4.58/1.27 [zip_derived_cl1382, zip_derived_cl1316])).
% 4.58/1.27 thf(zip_derived_cl1555, plain, ((((sk_c7) = (sk_c4)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 4.58/1.27 thf(zip_derived_cl1224, plain,
% 4.58/1.27 ((((identity) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1223])).
% 4.58/1.27 thf(prove_this_25, conjecture,
% 4.58/1.27 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 4.58/1.27 thf(zf_stmt_9, negated_conjecture,
% 4.58/1.27 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 4.58/1.27 thf(zip_derived_cl27, plain,
% 4.58/1.27 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.58/1.27 thf(zip_derived_cl2, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.27 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.58/1.27 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.58/1.27 inference('cnf', [status(esa)], [associativity])).
% 4.58/1.27 thf(zip_derived_cl64, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ X0)
% 4.58/1.27 = (multiply @ sk_c4 @ (multiply @ sk_c5 @ X0))))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl2])).
% 4.58/1.27 thf(zip_derived_cl1266, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ identity @ sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ X0)
% 4.58/1.27 = (multiply @ sk_c4 @ (multiply @ identity @ X0))))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl1224, zip_derived_cl64])).
% 4.58/1.27 thf(zip_derived_cl0, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.27 thf(zip_derived_cl0, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.27 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.27 thf(zip_derived_cl1302, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((sk_c7) = (sk_c6))
% 4.58/1.27 | ((sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ X0) = (multiply @ sk_c4 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)],
% 4.58/1.27 [zip_derived_cl1266, zip_derived_cl0, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl1303, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((multiply @ sk_c6 @ X0) = (multiply @ sk_c4 @ X0))
% 4.58/1.27 | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1302])).
% 4.58/1.27 thf(zip_derived_cl1593, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((sk_c7) = (sk_c6))
% 4.58/1.27 | ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))
% 4.58/1.27 | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('s_sup+', [status(thm)],
% 4.58/1.27 [zip_derived_cl1555, zip_derived_cl1303])).
% 4.58/1.27 thf(zip_derived_cl1603, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))
% 4.58/1.27 | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1593])).
% 4.58/1.27 thf(zip_derived_cl1678, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 4.58/1.27 inference('condensation', [status(thm)], [zip_derived_cl1603])).
% 4.58/1.27 thf(zip_derived_cl1683, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.58/1.27 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 4.58/1.27 | ((inverse @ X0) != (sk_c6))
% 4.58/1.27 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 4.58/1.27 | ((inverse @ X1) != (sk_c7))
% 4.58/1.27 | ((multiply @ sk_c7 @ sk_c7) != (sk_c5))
% 4.58/1.27 | ((multiply @ sk_c5 @ sk_c7) != (sk_c6))
% 4.58/1.27 | ((inverse @ X2) != (sk_c6))
% 4.58/1.27 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 4.58/1.27 | ((inverse @ X3) != (sk_c7))
% 4.58/1.27 | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl1678])).
% 4.58/1.27 thf(prove_this_18, conjecture,
% 4.58/1.27 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.27 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 4.58/1.27 thf(zf_stmt_10, negated_conjecture,
% 4.58/1.27 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.27 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 4.58/1.27 thf(zip_derived_cl20, plain,
% 4.58/1.27 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.58/1.27 thf(prove_this_13, conjecture,
% 4.58/1.27 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.58/1.27 thf(zf_stmt_11, negated_conjecture,
% 4.58/1.27 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.27 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 4.58/1.27 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 4.58/1.27 thf(zip_derived_cl15, plain,
% 4.58/1.27 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 4.58/1.27 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 4.58/1.27 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl158, plain,
% 4.58/1.27 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 4.58/1.27 | ((sk_c6) = (multiply @ (inverse @ sk_c2) @ sk_c5)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl417, plain,
% 4.58/1.27 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 4.58/1.27 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 4.58/1.27 | ((sk_c6) = (multiply @ sk_c6 @ sk_c5)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl158])).
% 4.58/1.27 thf(zip_derived_cl420, plain,
% 4.58/1.27 ((((sk_c6) = (multiply @ sk_c6 @ sk_c5))
% 4.58/1.27 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl417])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl422, plain,
% 4.58/1.27 ((((sk_c6) = (multiply @ sk_c6 @ sk_c5))
% 4.58/1.27 | ((sk_c6) = (multiply @ (inverse @ sk_c3) @ sk_c7)))),
% 4.58/1.27 inference('s_sup+', [status(thm)], [zip_derived_cl420, zip_derived_cl41])).
% 4.58/1.27 thf(zip_derived_cl1678, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 4.58/1.27 inference('condensation', [status(thm)], [zip_derived_cl1603])).
% 4.58/1.27 thf(zip_derived_cl1716, plain,
% 4.58/1.27 ((((sk_c6) = (multiply @ sk_c7 @ sk_c5))
% 4.58/1.27 | ((sk_c6) = (multiply @ (inverse @ sk_c3) @ sk_c7)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl422, zip_derived_cl1678])).
% 4.58/1.27 thf(zip_derived_cl1678, plain,
% 4.58/1.27 (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 4.58/1.27 inference('condensation', [status(thm)], [zip_derived_cl1603])).
% 4.58/1.27 thf(zip_derived_cl1303, plain,
% 4.58/1.27 (![X0 : $i]:
% 4.58/1.27 (((multiply @ sk_c6 @ X0) = (multiply @ sk_c4 @ X0))
% 4.58/1.27 | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1302])).
% 4.58/1.27 thf(zip_derived_cl498, plain,
% 4.58/1.27 ((((sk_c6) = (multiply @ sk_c6 @ sk_c5))
% 4.58/1.27 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl497])).
% 4.58/1.27 thf(zip_derived_cl1426, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((sk_c6) = (multiply @ sk_c6 @ sk_c5))
% 4.58/1.27 | ((multiply @ sk_c6 @ sk_c5) = (sk_c6)))),
% 4.58/1.27 inference('s_sup+', [status(thm)],
% 4.58/1.27 [zip_derived_cl1303, zip_derived_cl498])).
% 4.58/1.27 thf(zip_derived_cl1433, plain,
% 4.58/1.27 ((((sk_c6) = (multiply @ sk_c6 @ sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('simplify', [status(thm)], [zip_derived_cl1426])).
% 4.58/1.27 thf(zip_derived_cl1744, plain,
% 4.58/1.27 ((((sk_c6) = (multiply @ sk_c7 @ sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.27 inference('s_sup+', [status(thm)],
% 4.58/1.27 [zip_derived_cl1678, zip_derived_cl1433])).
% 4.58/1.27 thf(zip_derived_cl41, plain,
% 4.58/1.27 (![X0 : $i, X1 : $i]:
% 4.58/1.27 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.27 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.27 thf(zip_derived_cl1752, plain,
% 4.58/1.27 ((((sk_c7) = (sk_c6))
% 4.58/1.27 | ((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl1744, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl1224, plain,
% 4.58/1.28 ((((identity) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1223])).
% 4.58/1.28 thf(prove_this_22, conjecture,
% 4.58/1.28 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 4.58/1.28 thf(zf_stmt_12, negated_conjecture,
% 4.58/1.28 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 4.58/1.28 thf(zip_derived_cl24, plain,
% 4.58/1.28 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_12])).
% 4.58/1.28 thf(prove_this_23, conjecture,
% 4.58/1.28 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 4.58/1.28 thf(zf_stmt_13, negated_conjecture,
% 4.58/1.28 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 4.58/1.28 thf(zip_derived_cl25, plain,
% 4.58/1.28 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 4.58/1.28 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl150, plain,
% 4.58/1.28 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 4.58/1.28 | ((sk_c6) = (multiply @ (inverse @ sk_c3) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl279, plain,
% 4.58/1.28 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 4.58/1.28 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 4.58/1.28 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl150])).
% 4.58/1.28 thf(zip_derived_cl281, plain,
% 4.58/1.28 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.58/1.28 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl279])).
% 4.58/1.28 thf(zip_derived_cl1282, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c6))
% 4.58/1.28 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.58/1.28 | ((multiply @ identity @ sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl1224, zip_derived_cl281])).
% 4.58/1.28 thf(zip_derived_cl0, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.28 thf(zip_derived_cl1309, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c6))
% 4.58/1.28 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.58/1.28 | ((sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl1282, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl1310, plain,
% 4.58/1.28 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1309])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl1346, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c6))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl1310, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl1778, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c5)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl1752, zip_derived_cl1346])).
% 4.58/1.28 thf(zip_derived_cl1789, plain, ((((sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1778])).
% 4.58/1.28 thf(zip_derived_cl1752, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c6))
% 4.58/1.28 | ((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl1744, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl2, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.28 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.58/1.28 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.58/1.28 inference('cnf', [status(esa)], [associativity])).
% 4.58/1.28 thf(zip_derived_cl1773, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((sk_c7) = (sk_c6))
% 4.58/1.28 | ((multiply @ sk_c5 @ X0)
% 4.58/1.28 = (multiply @ (inverse @ sk_c7) @ (multiply @ sk_c6 @ X0))))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl1752, zip_derived_cl2])).
% 4.58/1.28 thf(zip_derived_cl1678, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ sk_c6 @ X0) = (multiply @ sk_c7 @ X0))),
% 4.58/1.28 inference('condensation', [status(thm)], [zip_derived_cl1603])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl1788, plain,
% 4.58/1.28 (![X0 : $i]: (((sk_c7) = (sk_c6)) | ((multiply @ sk_c5 @ X0) = (X0)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1773, zip_derived_cl1678, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl1925, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((sk_c7) = (sk_c6))
% 4.58/1.28 | ((sk_c7) = (sk_c6))
% 4.58/1.28 | ((multiply @ sk_c7 @ X0) = (X0)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl1789, zip_derived_cl1788])).
% 4.58/1.28 thf(zip_derived_cl1927, plain,
% 4.58/1.28 (![X0 : $i]: (((multiply @ sk_c7 @ X0) = (X0)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1925])).
% 4.58/1.28 thf(zip_derived_cl1310, plain,
% 4.58/1.28 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1309])).
% 4.58/1.28 thf(zip_derived_cl1944, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c6)) | ((sk_c6) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl1927, zip_derived_cl1310])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl2795, plain,
% 4.58/1.28 ((((sk_c7) = (multiply @ sk_c7 @ sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c3) @ sk_c7)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1716, zip_derived_cl1954, zip_derived_cl1954])).
% 4.58/1.28 thf(zip_derived_cl182, plain,
% 4.58/1.28 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((sk_c5) = (identity)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl2008, plain,
% 4.58/1.28 ((((multiply @ sk_c7 @ sk_c7) = (sk_c5)) | ((sk_c5) = (identity)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl1954])).
% 4.58/1.28 thf(prove_this_17, conjecture,
% 4.58/1.28 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 4.58/1.28 thf(zf_stmt_14, negated_conjecture,
% 4.58/1.28 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 4.58/1.28 thf(zip_derived_cl19, plain,
% 4.58/1.28 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_14])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl178, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((inverse @ sk_c3) = (sk_c7))
% 4.58/1.28 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl315, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((inverse @ sk_c3) = (sk_c7))
% 4.58/1.28 | ((multiply @ sk_c2 @ X0) = (multiply @ (inverse @ sk_c6) @ X0)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl460, plain,
% 4.58/1.28 ((((inverse @ sk_c3) = (sk_c7))
% 4.58/1.28 | ((multiply @ sk_c2 @ sk_c6) = (identity)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl315, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl467, plain,
% 4.58/1.28 ((((multiply @ sk_c2 @ sk_c6) = (identity))
% 4.58/1.28 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl460, zip_derived_cl1])).
% 4.58/1.28 thf(prove_this_12, conjecture,
% 4.58/1.28 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.58/1.28 thf(zf_stmt_15, negated_conjecture,
% 4.58/1.28 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 4.58/1.28 thf(zip_derived_cl14, plain,
% 4.58/1.28 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_15])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl45, plain,
% 4.58/1.28 ((((multiply @ sk_c2 @ sk_c6) = (sk_c5))
% 4.58/1.28 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl479, plain,
% 4.58/1.28 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 4.58/1.28 | ((identity) = (sk_c5))
% 4.58/1.28 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl45])).
% 4.58/1.28 thf(zip_derived_cl482, plain,
% 4.58/1.28 ((((identity) = (sk_c5)) | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl479])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl484, plain,
% 4.58/1.28 ((((identity) = (sk_c5))
% 4.58/1.28 | ((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl2, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.28 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.58/1.28 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.58/1.28 inference('cnf', [status(esa)], [associativity])).
% 4.58/1.28 thf(zip_derived_cl540, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((identity) = (sk_c5))
% 4.58/1.28 | ((multiply @ sk_c3 @ X0)
% 4.58/1.28 = (multiply @ (inverse @ sk_c7) @ (multiply @ identity @ X0))))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl484, zip_derived_cl2])).
% 4.58/1.28 thf(zip_derived_cl0, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.28 thf(zip_derived_cl543, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((identity) = (sk_c5))
% 4.58/1.28 | ((multiply @ sk_c3 @ X0) = (multiply @ (inverse @ sk_c7) @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl540, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl560, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((identity) = (sk_c5))
% 4.58/1.28 | ((X0) = (multiply @ sk_c3 @ (multiply @ sk_c7 @ X0))))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl2089, plain,
% 4.58/1.28 ((((sk_c5) = (identity))
% 4.58/1.28 | ((identity) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ sk_c3 @ sk_c5)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl2008, zip_derived_cl560])).
% 4.58/1.28 thf(zip_derived_cl2090, plain,
% 4.58/1.28 ((((sk_c7) = (multiply @ sk_c3 @ sk_c5)) | ((sk_c5) = (identity)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl2089])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl2126, plain,
% 4.58/1.28 ((((sk_c5) = (identity))
% 4.58/1.28 | ((sk_c5) = (multiply @ (inverse @ sk_c3) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2090, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl2876, plain,
% 4.58/1.28 ((((sk_c7) = (multiply @ sk_c7 @ sk_c5))
% 4.58/1.28 | ((sk_c5) = (identity))
% 4.58/1.28 | ((sk_c5) = (sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl2795, zip_derived_cl2126])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl3665, plain,
% 4.58/1.28 ((((sk_c5) = (sk_c7))
% 4.58/1.28 | ((sk_c5) = (identity))
% 4.58/1.28 | ((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2876, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl3670, plain,
% 4.58/1.28 ((((sk_c5) = (sk_c7)) | ((sk_c5) = (identity)) | ((sk_c5) = (identity)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl3665, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl3671, plain,
% 4.58/1.28 ((((sk_c5) = (identity)) | ((sk_c5) = (sk_c7)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3670])).
% 4.58/1.28 thf(zip_derived_cl3701, plain,
% 4.58/1.28 ((((sk_c7) != (identity)) | ((sk_c5) = (identity)))),
% 4.58/1.28 inference('eq_fact', [status(thm)], [zip_derived_cl3671])).
% 4.58/1.28 thf(prove_this_8, conjecture,
% 4.58/1.28 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 4.58/1.28 thf(zf_stmt_16, negated_conjecture,
% 4.58/1.28 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 4.58/1.28 thf(zip_derived_cl10, plain,
% 4.58/1.28 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_16])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl1962, plain,
% 4.58/1.28 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1954])).
% 4.58/1.28 thf(prove_this_3, conjecture,
% 4.58/1.28 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 4.58/1.28 thf(zf_stmt_17, negated_conjecture,
% 4.58/1.28 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 4.58/1.28 thf(zip_derived_cl5, plain,
% 4.58/1.28 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 4.58/1.28 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_17])).
% 4.58/1.28 thf(prove_this_2, conjecture,
% 4.58/1.28 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 4.58/1.28 thf(zf_stmt_18, negated_conjecture,
% 4.58/1.28 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 4.58/1.28 thf(zip_derived_cl4, plain,
% 4.58/1.28 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_18])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl33, plain,
% 4.58/1.28 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 4.58/1.28 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl2, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.28 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.58/1.28 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.58/1.28 inference('cnf', [status(esa)], [associativity])).
% 4.58/1.28 thf(zip_derived_cl66, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 4.58/1.28 | ((multiply @ identity @ X0)
% 4.58/1.28 = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl2])).
% 4.58/1.28 thf(zip_derived_cl0, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.28 thf(zip_derived_cl67, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 4.58/1.28 | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl93, plain,
% 4.58/1.28 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 4.58/1.28 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 4.58/1.28 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 4.58/1.28 thf(zip_derived_cl97, plain,
% 4.58/1.28 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.58/1.28 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl93])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl1992, plain,
% 4.58/1.28 ((((sk_c7) = (multiply @ sk_c7 @ sk_c7))
% 4.58/1.28 | ((multiply @ sk_c1 @ sk_c7) = (sk_c7)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl97, zip_derived_cl1954, zip_derived_cl1954])).
% 4.58/1.28 thf(prove_this_1, conjecture,
% 4.58/1.28 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 4.58/1.28 thf(zf_stmt_19, negated_conjecture,
% 4.58/1.28 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.58/1.28 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 4.58/1.28 thf(zip_derived_cl3, plain,
% 4.58/1.28 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.58/1.28 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_19])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl1957, plain,
% 4.58/1.28 ((((multiply @ sk_c7 @ sk_c7) = (sk_c5))
% 4.58/1.28 | ((multiply @ sk_c1 @ sk_c7) = (sk_c7)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl3, zip_derived_cl1954, zip_derived_cl1954])).
% 4.58/1.28 thf(zip_derived_cl2437, plain,
% 4.58/1.28 ((((multiply @ sk_c1 @ sk_c7) = (sk_c7))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((multiply @ sk_c1 @ sk_c7) = (sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl1992, zip_derived_cl1957])).
% 4.58/1.28 thf(zip_derived_cl2442, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c7)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl2437])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl2447, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2442, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl2489, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2447, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl2698, plain,
% 4.58/1.28 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl1962, zip_derived_cl2489])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl2705, plain,
% 4.58/1.28 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (identity)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl2698, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl543, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((identity) = (sk_c5))
% 4.58/1.28 | ((multiply @ sk_c3 @ X0) = (multiply @ (inverse @ sk_c7) @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl540, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl559, plain,
% 4.58/1.28 ((((identity) = (sk_c5)) | ((multiply @ sk_c3 @ sk_c7) = (identity)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl3280, plain,
% 4.58/1.28 ((((sk_c7) = (identity))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((identity) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (identity)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl2705, zip_derived_cl559])).
% 4.58/1.28 thf(zip_derived_cl3282, plain,
% 4.58/1.28 ((((identity) = (sk_c5)) | ((sk_c7) = (sk_c5)) | ((sk_c7) = (identity)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3280])).
% 4.58/1.28 thf(zip_derived_cl185, plain,
% 4.58/1.28 ((((sk_c5) = (identity))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl2009, plain,
% 4.58/1.28 ((((sk_c5) = (identity))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c5)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl185, zip_derived_cl1954])).
% 4.58/1.28 thf(zip_derived_cl3291, plain,
% 4.58/1.28 ((((sk_c7) = (identity))
% 4.58/1.28 | ((identity) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (identity))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl3282, zip_derived_cl2009])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl3310, plain,
% 4.58/1.28 ((((sk_c7) = (identity))
% 4.58/1.28 | ((identity) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (identity))
% 4.58/1.28 | ((sk_c7) = (identity)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl3291, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl3311, plain,
% 4.58/1.28 ((((identity) = (sk_c5)) | ((sk_c7) = (identity)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3310])).
% 4.58/1.28 thf(zip_derived_cl3743, plain, (((sk_c5) = (identity))),
% 4.58/1.28 inference('clc', [status(thm)], [zip_derived_cl3701, zip_derived_cl3311])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl129, plain,
% 4.58/1.28 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl126, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl2740, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl126])).
% 4.58/1.28 thf(zip_derived_cl1954, plain, (((sk_c7) = (sk_c6))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 4.58/1.28 thf(zip_derived_cl1962, plain,
% 4.58/1.28 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1954])).
% 4.58/1.28 thf(zip_derived_cl2447, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2442, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl2494, plain,
% 4.58/1.28 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl1962, zip_derived_cl2447])).
% 4.58/1.28 thf(prove_this_7, conjecture,
% 4.58/1.28 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.58/1.28 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 4.58/1.28 thf(zf_stmt_20, negated_conjecture,
% 4.58/1.28 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 4.58/1.28 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 4.58/1.28 thf(zip_derived_cl9, plain,
% 4.58/1.28 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 4.58/1.28 inference('cnf', [status(esa)], [zf_stmt_20])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl168, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((inverse @ sk_c1) = (sk_c7))
% 4.58/1.28 | ((X0) = (multiply @ sk_c7 @ (multiply @ sk_c3 @ X0))))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl3723, plain,
% 4.58/1.28 ((((sk_c7) = (multiply @ sk_c7 @ sk_c7))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((inverse @ sk_c1) = (sk_c7))
% 4.58/1.28 | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl2494, zip_derived_cl168])).
% 4.58/1.28 thf(zip_derived_cl3729, plain,
% 4.58/1.28 ((((inverse @ sk_c1) = (sk_c7))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3723])).
% 4.58/1.28 thf(zip_derived_cl2447, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2442, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl3736, plain,
% 4.58/1.28 ((((sk_c7) = (multiply @ sk_c7 @ sk_c7))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (sk_c5))
% 4.58/1.28 | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)],
% 4.58/1.28 [zip_derived_cl3729, zip_derived_cl2447])).
% 4.58/1.28 thf(zip_derived_cl3739, plain,
% 4.58/1.28 ((((sk_c7) = (sk_c5)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3736])).
% 4.58/1.28 thf(zip_derived_cl3743, plain, (((sk_c5) = (identity))),
% 4.58/1.28 inference('clc', [status(thm)], [zip_derived_cl3701, zip_derived_cl3311])).
% 4.58/1.28 thf(zip_derived_cl3803, plain,
% 4.58/1.28 ((((sk_c7) = (identity)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl3739, zip_derived_cl3743])).
% 4.58/1.28 thf(zip_derived_cl41, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.58/1.28 thf(zip_derived_cl3809, plain,
% 4.58/1.28 ((((sk_c7) = (identity))
% 4.58/1.28 | ((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c7)))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl3803, zip_derived_cl41])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl3811, plain,
% 4.58/1.28 ((((sk_c7) = (identity)) | ((sk_c7) = (identity)))),
% 4.58/1.28 inference('demod', [status(thm)], [zip_derived_cl3809, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl3812, plain, (((sk_c7) = (identity))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3811])).
% 4.58/1.28 thf(zip_derived_cl3831, plain, (((identity) = (sk_c6))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1954, zip_derived_cl3812])).
% 4.58/1.28 thf(zip_derived_cl3831, plain, (((identity) = (sk_c6))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1954, zip_derived_cl3812])).
% 4.58/1.28 thf(zip_derived_cl3831, plain, (((identity) = (sk_c6))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1954, zip_derived_cl3812])).
% 4.58/1.28 thf(zip_derived_cl2740, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl126])).
% 4.58/1.28 thf(zip_derived_cl3812, plain, (((sk_c7) = (identity))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3811])).
% 4.58/1.28 thf(zip_derived_cl3812, plain, (((sk_c7) = (identity))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3811])).
% 4.58/1.28 thf(zip_derived_cl3812, plain, (((sk_c7) = (identity))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3811])).
% 4.58/1.28 thf(zip_derived_cl3812, plain, (((sk_c7) = (identity))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3811])).
% 4.58/1.28 thf(zip_derived_cl0, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.28 thf(zip_derived_cl3743, plain, (((sk_c5) = (identity))),
% 4.58/1.28 inference('clc', [status(thm)], [zip_derived_cl3701, zip_derived_cl3311])).
% 4.58/1.28 thf(zip_derived_cl3743, plain, (((sk_c5) = (identity))),
% 4.58/1.28 inference('clc', [status(thm)], [zip_derived_cl3701, zip_derived_cl3311])).
% 4.58/1.28 thf(zip_derived_cl3812, plain, (((sk_c7) = (identity))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3811])).
% 4.58/1.28 thf(zip_derived_cl0, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_identity])).
% 4.58/1.28 thf(zip_derived_cl3831, plain, (((identity) = (sk_c6))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1954, zip_derived_cl3812])).
% 4.58/1.28 thf(zip_derived_cl3831, plain, (((identity) = (sk_c6))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1954, zip_derived_cl3812])).
% 4.58/1.28 thf(zip_derived_cl3831, plain, (((identity) = (sk_c6))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1954, zip_derived_cl3812])).
% 4.58/1.28 thf(zip_derived_cl2740, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl126])).
% 4.58/1.28 thf(zip_derived_cl3743, plain, (((sk_c5) = (identity))),
% 4.58/1.28 inference('clc', [status(thm)], [zip_derived_cl3701, zip_derived_cl3311])).
% 4.58/1.28 thf(zip_derived_cl3812, plain, (((sk_c7) = (identity))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3811])).
% 4.58/1.28 thf(zip_derived_cl3812, plain, (((sk_c7) = (identity))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl3811])).
% 4.58/1.28 thf(zip_derived_cl2740, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl126])).
% 4.58/1.28 thf(zip_derived_cl3831, plain, (((identity) = (sk_c6))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1954, zip_derived_cl3812])).
% 4.58/1.28 thf(zip_derived_cl6108, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.58/1.28 (((X0) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((X1) != (identity))
% 4.58/1.28 | ((inverse @ X1) != (identity))
% 4.58/1.28 | ((identity) != (identity))
% 4.58/1.28 | ((identity) != (identity))
% 4.58/1.28 | ((inverse @ X2) != (identity))
% 4.58/1.28 | ((X2) != (identity))
% 4.58/1.28 | ((inverse @ X3) != (identity))
% 4.58/1.28 | ((X3) != (identity)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl1683, zip_derived_cl3743, zip_derived_cl2740,
% 4.58/1.28 zip_derived_cl3831, zip_derived_cl3831, zip_derived_cl3831,
% 4.58/1.28 zip_derived_cl2740, zip_derived_cl3812, zip_derived_cl3812,
% 4.58/1.28 zip_derived_cl3812, zip_derived_cl3812, zip_derived_cl0,
% 4.58/1.28 zip_derived_cl3743, zip_derived_cl3743, zip_derived_cl3812,
% 4.58/1.28 zip_derived_cl0, zip_derived_cl3831, zip_derived_cl3831,
% 4.58/1.28 zip_derived_cl3831, zip_derived_cl2740, zip_derived_cl3743,
% 4.58/1.28 zip_derived_cl3812, zip_derived_cl3812, zip_derived_cl2740,
% 4.58/1.28 zip_derived_cl3831])).
% 4.58/1.28 thf(zip_derived_cl6109, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.58/1.28 (((X3) != (identity))
% 4.58/1.28 | ((inverse @ X3) != (identity))
% 4.58/1.28 | ((X2) != (identity))
% 4.58/1.28 | ((inverse @ X2) != (identity))
% 4.58/1.28 | ((inverse @ X1) != (identity))
% 4.58/1.28 | ((X1) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((X0) != (identity)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl6108])).
% 4.58/1.28 thf(zip_derived_cl6110, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.28 (((X0) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((X1) != (identity))
% 4.58/1.28 | ((inverse @ X1) != (identity))
% 4.58/1.28 | ((inverse @ X2) != (identity))
% 4.58/1.28 | ((X2) != (identity))
% 4.58/1.28 | ((inverse @ identity) != (identity)))),
% 4.58/1.28 inference('eq_res', [status(thm)], [zip_derived_cl6109])).
% 4.58/1.28 thf(zip_derived_cl2740, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl126])).
% 4.58/1.28 thf(zip_derived_cl1, plain,
% 4.58/1.28 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.58/1.28 inference('cnf', [status(esa)], [left_inverse])).
% 4.58/1.28 thf(zip_derived_cl4404, plain, (((inverse @ identity) = (identity))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2740, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl6111, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.28 (((X0) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((X1) != (identity))
% 4.58/1.28 | ((inverse @ X1) != (identity))
% 4.58/1.28 | ((inverse @ X2) != (identity))
% 4.58/1.28 | ((X2) != (identity))
% 4.58/1.28 | ((identity) != (identity)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl6110, zip_derived_cl4404])).
% 4.58/1.28 thf(zip_derived_cl6112, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.58/1.28 (((X2) != (identity))
% 4.58/1.28 | ((inverse @ X2) != (identity))
% 4.58/1.28 | ((inverse @ X1) != (identity))
% 4.58/1.28 | ((X1) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((X0) != (identity)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl6111])).
% 4.58/1.28 thf(zip_derived_cl6145, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 (((X0) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((X1) != (identity))
% 4.58/1.28 | ((inverse @ X1) != (identity))
% 4.58/1.28 | ((inverse @ identity) != (identity)))),
% 4.58/1.28 inference('eq_res', [status(thm)], [zip_derived_cl6112])).
% 4.58/1.28 thf(zip_derived_cl4404, plain, (((inverse @ identity) = (identity))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2740, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl6146, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 (((X0) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((X1) != (identity))
% 4.58/1.28 | ((inverse @ X1) != (identity))
% 4.58/1.28 | ((identity) != (identity)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl6145, zip_derived_cl4404])).
% 4.58/1.28 thf(zip_derived_cl6147, plain,
% 4.58/1.28 (![X0 : $i, X1 : $i]:
% 4.58/1.28 (((inverse @ X1) != (identity))
% 4.58/1.28 | ((X1) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((X0) != (identity)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl6146])).
% 4.58/1.28 thf(zip_derived_cl6148, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((X0) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((inverse @ identity) != (identity)))),
% 4.58/1.28 inference('eq_res', [status(thm)], [zip_derived_cl6147])).
% 4.58/1.28 thf(zip_derived_cl4404, plain, (((inverse @ identity) = (identity))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2740, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl6149, plain,
% 4.58/1.28 (![X0 : $i]:
% 4.58/1.28 (((X0) != (identity))
% 4.58/1.28 | ((inverse @ X0) != (identity))
% 4.58/1.28 | ((identity) != (identity)))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl6148, zip_derived_cl4404])).
% 4.58/1.28 thf(zip_derived_cl6150, plain,
% 4.58/1.28 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl6149])).
% 4.58/1.28 thf(zip_derived_cl6151, plain, (((inverse @ identity) != (identity))),
% 4.58/1.28 inference('eq_res', [status(thm)], [zip_derived_cl6150])).
% 4.58/1.28 thf(zip_derived_cl4404, plain, (((inverse @ identity) = (identity))),
% 4.58/1.28 inference('s_sup+', [status(thm)], [zip_derived_cl2740, zip_derived_cl1])).
% 4.58/1.28 thf(zip_derived_cl6152, plain, (((identity) != (identity))),
% 4.58/1.28 inference('demod', [status(thm)],
% 4.58/1.28 [zip_derived_cl6151, zip_derived_cl4404])).
% 4.58/1.28 thf(zip_derived_cl6153, plain, ($false),
% 4.58/1.28 inference('simplify', [status(thm)], [zip_derived_cl6152])).
% 4.58/1.28
% 4.58/1.28 % SZS output end Refutation
% 4.58/1.28
% 4.58/1.28
% 4.58/1.28 % Terminating...
% 5.17/1.36 % Runner terminated.
% 5.17/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------