TSTP Solution File: GRP344-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bRXyD0GfvX true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:17 EDT 2023
% Result : Unsatisfiable 1.35s 0.85s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bRXyD0GfvX true
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 19:38:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.34/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.85 % Solved by fo/fo7.sh.
% 1.35/0.85 % done 170 iterations in 0.068s
% 1.35/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.85 % SZS output start Refutation
% 1.35/0.85 thf(sk_c2_type, type, sk_c2: $i).
% 1.35/0.85 thf(sk_c5_type, type, sk_c5: $i).
% 1.35/0.85 thf(sk_c4_type, type, sk_c4: $i).
% 1.35/0.85 thf(sk_c3_type, type, sk_c3: $i).
% 1.35/0.85 thf(identity_type, type, identity: $i).
% 1.35/0.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.35/0.85 thf(sk_c7_type, type, sk_c7: $i).
% 1.35/0.85 thf(inverse_type, type, inverse: $i > $i).
% 1.35/0.85 thf(sk_c1_type, type, sk_c1: $i).
% 1.35/0.85 thf(sk_c6_type, type, sk_c6: $i).
% 1.35/0.85 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(associativity, axiom,
% 1.35/0.85 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.35/0.85 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.35/0.85 thf(zip_derived_cl2, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/0.85 inference('cnf', [status(esa)], [associativity])).
% 1.35/0.85 thf(zip_derived_cl63, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((multiply @ identity @ X0)
% 1.35/0.85 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.35/0.85 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.35/0.85 thf(zip_derived_cl0, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl99, plain,
% 1.35/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl95, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl99, plain,
% 1.35/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl312, plain,
% 1.35/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl99])).
% 1.35/0.85 thf(prove_this_18, conjecture,
% 1.35/0.85 (~( ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.35/0.85 ( ( inverse @ X2 ) != ( sk_c5 ) ) |
% 1.35/0.85 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 1.35/0.85 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.35/0.85 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.35/0.85 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 1.35/0.85 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.35/0.85 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) ))).
% 1.35/0.85 thf(zf_stmt_0, negated_conjecture,
% 1.35/0.85 (( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.35/0.85 ( ( inverse @ X2 ) != ( sk_c5 ) ) | ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 1.35/0.85 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.35/0.85 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.35/0.85 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 1.35/0.85 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.35/0.85 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.35/0.85 thf(zip_derived_cl20, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.85 (((multiply @ X0 @ sk_c6) != (sk_c5))
% 1.35/0.85 | ((inverse @ X0) != (sk_c5))
% 1.35/0.85 | ((inverse @ X1) != (sk_c6))
% 1.35/0.85 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 1.35/0.85 | ((inverse @ X2) != (sk_c6))
% 1.35/0.85 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((inverse @ X3) != (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/0.85 thf(zip_derived_cl21, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.85 (((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ X0) != (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ X1) != (sk_c6))
% 1.35/0.85 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.35/0.85 | ((inverse @ X2) != (sk_c6))
% 1.35/0.85 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((inverse @ X3) != (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 1.35/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl20])).
% 1.35/0.85 thf(prove_this_1, conjecture, (( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ))).
% 1.35/0.85 thf(zf_stmt_1, negated_conjecture,
% 1.35/0.85 (( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl22, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.85 (((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ X0) != (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ X1) != (sk_c6))
% 1.35/0.85 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.35/0.85 | ((inverse @ X2) != (sk_c6))
% 1.35/0.85 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((inverse @ X3) != (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c6 @ sk_c7) != (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 1.35/0.85 thf(zip_derived_cl23, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.85 (((inverse @ X3) != (sk_c7))
% 1.35/0.85 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((inverse @ X2) != (sk_c6))
% 1.35/0.85 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.35/0.85 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((inverse @ X1) != (sk_c6))
% 1.35/0.85 | ((inverse @ X0) != (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl22])).
% 1.35/0.85 thf(zip_derived_cl409, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.85 (((X0) != (sk_c7))
% 1.35/0.85 | ((multiply @ X1 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ X1) != (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ X2) != (sk_c6))
% 1.35/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((multiply @ X3 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.35/0.85 | ((inverse @ X3) != (sk_c6))
% 1.35/0.85 | ((multiply @ (inverse @ X0) @ sk_c6) != (sk_c7)))),
% 1.35/0.85 inference('sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl23])).
% 1.35/0.85 thf(zip_derived_cl423, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 (((multiply @ (inverse @ sk_c7) @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((inverse @ X0) != (sk_c6))
% 1.35/0.85 | ((multiply @ X0 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 1.35/0.85 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.35/0.85 | ((inverse @ X1) != (sk_c6))
% 1.35/0.85 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('eq_res', [status(thm)], [zip_derived_cl409])).
% 1.35/0.85 thf(prove_this_11, conjecture,
% 1.35/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.35/0.85 thf(zf_stmt_2, negated_conjecture,
% 1.35/0.85 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.35/0.85 thf(zip_derived_cl13, plain,
% 1.35/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl31, plain,
% 1.35/0.85 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.35/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl103, plain,
% 1.35/0.85 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl80])).
% 1.35/0.85 thf(prove_this_15, conjecture,
% 1.35/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.35/0.85 thf(zf_stmt_3, negated_conjecture,
% 1.35/0.85 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.35/0.85 thf(zip_derived_cl17, plain,
% 1.35/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl53, plain,
% 1.35/0.85 ((((inverse @ sk_c3) = (sk_c6))
% 1.35/0.85 | ((multiply @ sk_c2 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl3])).
% 1.35/0.85 thf(zip_derived_cl150, plain,
% 1.35/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @
% 1.35/0.85 (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 1.35/0.85 | ((inverse @ sk_c3) = (sk_c6))
% 1.35/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl53])).
% 1.35/0.85 thf(zip_derived_cl2, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/0.85 inference('cnf', [status(esa)], [associativity])).
% 1.35/0.85 thf(zip_derived_cl0, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl156, plain,
% 1.35/0.85 ((((sk_c7) = (sk_c6))
% 1.35/0.85 | ((inverse @ sk_c3) = (sk_c6))
% 1.35/0.85 | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl150, zip_derived_cl2, zip_derived_cl0,
% 1.35/0.85 zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl157, plain,
% 1.35/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl156])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl161, plain,
% 1.35/0.85 ((((multiply @ sk_c6 @ sk_c3) = (identity)) | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl174, plain,
% 1.35/0.85 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/0.85 | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl305, plain,
% 1.35/0.85 ((((sk_c3) = (inverse @ sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl284])).
% 1.35/0.85 thf(prove_this_10, conjecture,
% 1.35/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.35/0.85 thf(zf_stmt_4, negated_conjecture,
% 1.35/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.35/0.85 thf(zip_derived_cl12, plain,
% 1.35/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.35/0.85 thf(zip_derived_cl312, plain,
% 1.35/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl99])).
% 1.35/0.85 thf(zip_derived_cl419, plain,
% 1.35/0.85 ((((sk_c2) = (inverse @ sk_c6)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl312])).
% 1.35/0.85 thf(prove_this_14, conjecture,
% 1.35/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.35/0.85 thf(zf_stmt_5, negated_conjecture,
% 1.35/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.35/0.85 thf(zip_derived_cl16, plain,
% 1.35/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl56, plain,
% 1.35/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c2 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl3])).
% 1.35/0.85 thf(zip_derived_cl510, plain,
% 1.35/0.85 ((((multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 1.35/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl419, zip_derived_cl56])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl524, plain,
% 1.35/0.85 ((((sk_c7) = (sk_c6))
% 1.35/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl510, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl525, plain,
% 1.35/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl524])).
% 1.35/0.85 thf(zip_derived_cl581, plain,
% 1.35/0.85 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((sk_c7) = (sk_c6))
% 1.35/0.85 | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl305, zip_derived_cl525])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl584, plain,
% 1.35/0.85 ((((identity) = (sk_c7)) | ((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl581, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl585, plain,
% 1.35/0.85 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl584])).
% 1.35/0.85 thf(prove_this_3, conjecture,
% 1.35/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.35/0.85 thf(zf_stmt_6, negated_conjecture,
% 1.35/0.85 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.35/0.85 thf(zip_derived_cl5, plain,
% 1.35/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl26, plain,
% 1.35/0.85 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 1.35/0.85 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl101, plain,
% 1.35/0.85 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/0.85 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl80])).
% 1.35/0.85 thf(prove_this_2, conjecture,
% 1.35/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.35/0.85 thf(zf_stmt_7, negated_conjecture,
% 1.35/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.35/0.85 thf(zip_derived_cl4, plain,
% 1.35/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.35/0.85 thf(zip_derived_cl127, plain,
% 1.35/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.35/0.85 = (sk_c7))
% 1.35/0.85 | ((inverse @ sk_c1) = (sk_c7))
% 1.35/0.85 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl4])).
% 1.35/0.85 thf(zip_derived_cl2, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/0.85 inference('cnf', [status(esa)], [associativity])).
% 1.35/0.85 thf(zip_derived_cl0, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl133, plain,
% 1.35/0.85 ((((identity) = (sk_c7))
% 1.35/0.85 | ((inverse @ sk_c1) = (sk_c7))
% 1.35/0.85 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl127, zip_derived_cl2, zip_derived_cl0,
% 1.35/0.85 zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl134, plain,
% 1.35/0.85 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl133])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl138, plain,
% 1.35/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity)) | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl593, plain,
% 1.35/0.85 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.35/0.85 | ((identity) = (sk_c7))
% 1.35/0.85 | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl585, zip_derived_cl138])).
% 1.35/0.85 thf(zip_derived_cl602, plain,
% 1.35/0.85 ((((identity) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl593])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl650, plain,
% 1.35/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/0.85 | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl602, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl654, plain,
% 1.35/0.85 ((((sk_c1) = (inverse @ sk_c6)) | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl650, zip_derived_cl284])).
% 1.35/0.85 thf(prove_this_7, conjecture,
% 1.35/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.35/0.85 thf(zf_stmt_8, negated_conjecture,
% 1.35/0.85 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.35/0.85 thf(zip_derived_cl9, plain,
% 1.35/0.85 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl38, plain,
% 1.35/0.85 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 1.35/0.85 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl102, plain,
% 1.35/0.85 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/0.85 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl80])).
% 1.35/0.85 thf(prove_this_6, conjecture,
% 1.35/0.85 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.35/0.85 thf(zf_stmt_9, negated_conjecture,
% 1.35/0.85 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.35/0.85 thf(zip_derived_cl8, plain,
% 1.35/0.85 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.35/0.85 thf(zip_derived_cl227, plain,
% 1.35/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.35/0.85 = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl8])).
% 1.35/0.85 thf(zip_derived_cl2, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/0.85 inference('cnf', [status(esa)], [associativity])).
% 1.35/0.85 thf(zip_derived_cl0, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl234, plain,
% 1.35/0.85 ((((identity) = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl227, zip_derived_cl2, zip_derived_cl0,
% 1.35/0.85 zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl235, plain,
% 1.35/0.85 ((((multiply @ sk_c1 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl234])).
% 1.35/0.85 thf(zip_derived_cl657, plain,
% 1.35/0.85 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 1.35/0.85 | ((identity) = (sk_c7))
% 1.35/0.85 | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl654, zip_derived_cl235])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl665, plain,
% 1.35/0.85 ((((identity) = (sk_c7))
% 1.35/0.85 | ((identity) = (sk_c7))
% 1.35/0.85 | ((identity) = (sk_c7)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl657, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl0, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl98, plain,
% 1.35/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl125, plain,
% 1.35/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl0, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl711, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 (((sk_c6) != (identity))
% 1.35/0.85 | ((inverse @ X0) != (sk_c6))
% 1.35/0.85 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.35/0.85 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.35/0.85 | ((inverse @ X1) != (sk_c6))
% 1.35/0.85 | ((inverse @ X2) != (sk_c6))
% 1.35/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl423, zip_derived_cl666, zip_derived_cl269,
% 1.35/0.85 zip_derived_cl0, zip_derived_cl666, zip_derived_cl666,
% 1.35/0.85 zip_derived_cl284, zip_derived_cl666, zip_derived_cl666,
% 1.35/0.85 zip_derived_cl284, zip_derived_cl666, zip_derived_cl284])).
% 1.35/0.85 thf(zip_derived_cl712, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 (((sk_c6) != (identity))
% 1.35/0.85 | ((inverse @ X0) != (identity))
% 1.35/0.85 | ((multiply @ X0 @ identity) != (identity))
% 1.35/0.85 | ((multiply @ X1 @ identity) != (identity))
% 1.35/0.85 | ((inverse @ X1) != (identity))
% 1.35/0.85 | ((inverse @ X2) != (identity))
% 1.35/0.85 | ((multiply @ X2 @ identity) != (identity)))),
% 1.35/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl711])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl713, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 (((sk_c6) != (identity))
% 1.35/0.85 | ((inverse @ X0) != (identity))
% 1.35/0.85 | ((X0) != (identity))
% 1.35/0.85 | ((X1) != (identity))
% 1.35/0.85 | ((inverse @ X1) != (identity))
% 1.35/0.85 | ((inverse @ X2) != (identity))
% 1.35/0.85 | ((X2) != (identity)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl712, zip_derived_cl284, zip_derived_cl284,
% 1.35/0.85 zip_derived_cl284])).
% 1.35/0.85 thf(prove_this_12, conjecture,
% 1.35/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.35/0.85 thf(zf_stmt_10, negated_conjecture,
% 1.35/0.85 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.35/0.85 thf(zip_derived_cl14, plain,
% 1.35/0.85 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl34, plain,
% 1.35/0.85 ((((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ sk_c2) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl35, plain,
% 1.35/0.85 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.35/0.85 | ((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl104, plain,
% 1.35/0.85 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/0.85 | ((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl80])).
% 1.35/0.85 thf(prove_this_16, conjecture,
% 1.35/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.35/0.85 thf(zf_stmt_11, negated_conjecture,
% 1.35/0.85 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.35/0.85 thf(zip_derived_cl18, plain,
% 1.35/0.85 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl54, plain,
% 1.35/0.85 ((((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((multiply @ sk_c2 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl18, zip_derived_cl3, zip_derived_cl3])).
% 1.35/0.85 thf(zip_derived_cl251, plain,
% 1.35/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @
% 1.35/0.85 (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 1.35/0.85 | ((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl54])).
% 1.35/0.85 thf(zip_derived_cl2, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/0.85 inference('cnf', [status(esa)], [associativity])).
% 1.35/0.85 thf(zip_derived_cl0, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_identity])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl257, plain,
% 1.35/0.85 ((((sk_c7) = (sk_c6))
% 1.35/0.85 | ((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl251, zip_derived_cl2, zip_derived_cl0,
% 1.35/0.85 zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl258, plain,
% 1.35/0.85 ((((inverse @ sk_c4) = (multiply @ sk_c6 @ sk_c7)) | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl257])).
% 1.35/0.85 thf(zip_derived_cl312, plain,
% 1.35/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl99])).
% 1.35/0.85 thf(zip_derived_cl418, plain,
% 1.35/0.85 ((((sk_c4) = (inverse @ (multiply @ sk_c6 @ sk_c7)))
% 1.35/0.85 | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl312])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl708, plain,
% 1.35/0.85 ((((sk_c4) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl418, zip_derived_cl666, zip_derived_cl284,
% 1.35/0.85 zip_derived_cl666])).
% 1.35/0.85 thf(prove_this_13, conjecture,
% 1.35/0.85 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.35/0.85 thf(zf_stmt_12, negated_conjecture,
% 1.35/0.85 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.35/0.85 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.35/0.85 thf(zip_derived_cl15, plain,
% 1.35/0.85 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl48, plain,
% 1.35/0.85 ((((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((inverse @ sk_c2) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl3])).
% 1.35/0.85 thf(zip_derived_cl312, plain,
% 1.35/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl99])).
% 1.35/0.85 thf(zip_derived_cl422, plain,
% 1.35/0.85 ((((sk_c2) = (inverse @ sk_c6))
% 1.35/0.85 | ((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl312])).
% 1.35/0.85 thf(prove_this_17, conjecture,
% 1.35/0.85 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.35/0.85 thf(zf_stmt_13, negated_conjecture,
% 1.35/0.85 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.35/0.85 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 1.35/0.85 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.35/0.85 thf(zip_derived_cl19, plain,
% 1.35/0.85 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 1.35/0.85 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 1.35/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.85 thf(zip_derived_cl57, plain,
% 1.35/0.85 ((((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((multiply @ sk_c2 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl19, zip_derived_cl3, zip_derived_cl3])).
% 1.35/0.85 thf(zip_derived_cl542, plain,
% 1.35/0.85 ((((multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 1.35/0.85 | ((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl422, zip_derived_cl57])).
% 1.35/0.85 thf(zip_derived_cl80, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.35/0.85 thf(zip_derived_cl556, plain,
% 1.35/0.85 ((((sk_c7) = (sk_c6))
% 1.35/0.85 | ((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl80])).
% 1.35/0.85 thf(zip_derived_cl557, plain,
% 1.35/0.85 ((((multiply @ sk_c4 @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.35/0.85 | ((sk_c7) = (sk_c6)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl556])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl284, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl95])).
% 1.35/0.85 thf(zip_derived_cl666, plain, (((identity) = (sk_c7))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 1.35/0.85 thf(zip_derived_cl717, plain,
% 1.35/0.85 ((((multiply @ sk_c4 @ sk_c6) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)],
% 1.35/0.85 [zip_derived_cl557, zip_derived_cl666, zip_derived_cl284,
% 1.35/0.85 zip_derived_cl666])).
% 1.35/0.85 thf(zip_derived_cl871, plain,
% 1.35/0.85 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c6))
% 1.35/0.85 | ((identity) = (sk_c6))
% 1.35/0.85 | ((identity) = (sk_c6)))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl708, zip_derived_cl717])).
% 1.35/0.85 thf(zip_derived_cl1, plain,
% 1.35/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/0.85 thf(zip_derived_cl874, plain,
% 1.35/0.85 ((((identity) = (sk_c6))
% 1.35/0.85 | ((identity) = (sk_c6))
% 1.35/0.85 | ((identity) = (sk_c6)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl871, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl875, plain, (((identity) = (sk_c6))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl874])).
% 1.35/0.85 thf(zip_derived_cl894, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 (((identity) != (identity))
% 1.35/0.85 | ((inverse @ X0) != (identity))
% 1.35/0.85 | ((X0) != (identity))
% 1.35/0.85 | ((X1) != (identity))
% 1.35/0.85 | ((inverse @ X1) != (identity))
% 1.35/0.85 | ((inverse @ X2) != (identity))
% 1.35/0.85 | ((X2) != (identity)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl713, zip_derived_cl875])).
% 1.35/0.85 thf(zip_derived_cl895, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.85 (((X2) != (identity))
% 1.35/0.85 | ((inverse @ X2) != (identity))
% 1.35/0.85 | ((inverse @ X1) != (identity))
% 1.35/0.85 | ((X1) != (identity))
% 1.35/0.85 | ((X0) != (identity))
% 1.35/0.85 | ((inverse @ X0) != (identity)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl894])).
% 1.35/0.85 thf(zip_derived_cl898, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 (((inverse @ X0) != (identity))
% 1.35/0.85 | ((X0) != (identity))
% 1.35/0.85 | ((X1) != (identity))
% 1.35/0.85 | ((inverse @ X1) != (identity))
% 1.35/0.85 | ((inverse @ identity) != (identity)))),
% 1.35/0.85 inference('eq_res', [status(thm)], [zip_derived_cl895])).
% 1.35/0.85 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl899, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 (((inverse @ X0) != (identity))
% 1.35/0.85 | ((X0) != (identity))
% 1.35/0.85 | ((X1) != (identity))
% 1.35/0.85 | ((inverse @ X1) != (identity))
% 1.35/0.85 | ((identity) != (identity)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl898, zip_derived_cl269])).
% 1.35/0.85 thf(zip_derived_cl900, plain,
% 1.35/0.85 (![X0 : $i, X1 : $i]:
% 1.35/0.85 (((inverse @ X1) != (identity))
% 1.35/0.85 | ((X1) != (identity))
% 1.35/0.85 | ((X0) != (identity))
% 1.35/0.85 | ((inverse @ X0) != (identity)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl899])).
% 1.35/0.85 thf(zip_derived_cl901, plain,
% 1.35/0.85 (![X0 : $i]:
% 1.35/0.85 (((inverse @ X0) != (identity))
% 1.35/0.85 | ((X0) != (identity))
% 1.35/0.85 | ((inverse @ identity) != (identity)))),
% 1.35/0.85 inference('eq_res', [status(thm)], [zip_derived_cl900])).
% 1.35/0.85 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl902, plain,
% 1.35/0.85 (![X0 : $i]:
% 1.35/0.85 (((inverse @ X0) != (identity))
% 1.35/0.85 | ((X0) != (identity))
% 1.35/0.85 | ((identity) != (identity)))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl901, zip_derived_cl269])).
% 1.35/0.85 thf(zip_derived_cl903, plain,
% 1.35/0.85 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl902])).
% 1.35/0.85 thf(zip_derived_cl904, plain, (((inverse @ identity) != (identity))),
% 1.35/0.85 inference('eq_res', [status(thm)], [zip_derived_cl903])).
% 1.35/0.85 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 1.35/0.85 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/0.85 thf(zip_derived_cl905, plain, (((identity) != (identity))),
% 1.35/0.85 inference('demod', [status(thm)], [zip_derived_cl904, zip_derived_cl269])).
% 1.35/0.85 thf(zip_derived_cl906, plain, ($false),
% 1.35/0.85 inference('simplify', [status(thm)], [zip_derived_cl905])).
% 1.35/0.85
% 1.35/0.85 % SZS output end Refutation
% 1.35/0.85
% 1.35/0.85
% 1.35/0.85 % Terminating...
% 1.46/0.95 % Runner terminated.
% 1.46/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------