%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP351-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e1GWxZytd5 true
% Computer : n029.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 Oct 2 04:36:17 PM UTC 2025
% Result : Unsatisfiable 0.91s 0.71s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP351-1 : TPTP v9.2.0. Released v2.5.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e1GWxZytd5 true
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:23:53 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.47 % Total configuration time : 435
% 0.18/0.47 % Estimated wc time : 1092
% 0.18/0.47 % Estimated cpu time (7 cpus) : 156.0
% 0.69/0.53 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.69/0.53 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.82/0.56 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.82/0.57 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.57 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.82/0.57 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.91/0.71 % Solved by fo/fo7.sh.
% 0.91/0.71 % done 554 iterations in 0.126s
% 0.91/0.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.91/0.71 % SZS output start Refutation
% 0.91/0.71 thf(sk_c2_type, type, sk_c2: $i).
% 0.91/0.71 thf(sk_c7_type, type, sk_c7: $i).
% 0.91/0.71 thf(sk_c1_type, type, sk_c1: $i).
% 0.91/0.71 thf(sk_c4_type, type, sk_c4: $i).
% 0.91/0.71 thf(identity_type, type, identity: $i).
% 0.91/0.71 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.91/0.71 thf(sk_c5_type, type, sk_c5: $i).
% 0.91/0.71 thf(inverse_type, type, inverse: $i > $i).
% 0.91/0.71 thf(sk_c3_type, type, sk_c3: $i).
% 0.91/0.71 thf(sk_c6_type, type, sk_c6: $i).
% 0.91/0.71 thf(prove_this_26, conjecture,
% 0.91/0.71 (~( ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ X2 ) != ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.91/0.71 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) ))).
% 0.91/0.71 thf(zf_stmt_0, negated_conjecture,
% 0.91/0.71 (( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ X2 ) != ( sk_c5 ) ) | ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.91/0.71 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.91/0.71 thf(zip_derived_cl28, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.91/0.71 (((multiply @ X0 @ sk_c6) != (sk_c5))
% 0.91/0.71 | ((inverse @ X0) != (sk_c5))
% 0.91/0.71 | ((inverse @ X1) != (sk_c6))
% 0.91/0.71 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.91/0.71 | ((inverse @ X2) != (sk_c6))
% 0.91/0.71 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 0.91/0.71 | ((inverse @ X3) != (sk_c7))
% 0.91/0.71 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.91/0.71 thf(zip_derived_cl29, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.91/0.71 (((multiply @ X0 @ sk_c6) != (sk_c5))
% 0.91/0.71 | ((inverse @ X0) != (sk_c5))
% 0.91/0.71 | ((inverse @ X1) != (sk_c6))
% 0.91/0.71 | ((multiply @ X1 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 0.91/0.71 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 0.91/0.71 | ((inverse @ X2) != (sk_c6))
% 0.91/0.71 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 0.91/0.71 | ((inverse @ X3) != (multiply @ sk_c6 @ sk_c5))
% 0.91/0.71 | ((multiply @ X3 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 0.91/0.71 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 0.91/0.71 thf(prove_this_13, conjecture,
% 0.91/0.71 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.91/0.71 thf(zf_stmt_1, negated_conjecture,
% 0.91/0.71 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.91/0.71 thf(zip_derived_cl15, plain,
% 0.91/0.71 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.91/0.71 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl32, plain,
% 0.91/0.71 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(associativity, axiom,
% 0.91/0.71 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.91/0.71 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.91/0.71 thf(zip_derived_cl2, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.91/0.71 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.91/0.71 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.91/0.71 inference('cnf', [status(esa)], [associativity])).
% 0.91/0.71 thf(zip_derived_cl45, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((multiply @ identity @ X0)
% 0.91/0.71 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.91/0.71 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl80, plain,
% 0.91/0.71 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl61])).
% 0.91/0.71 thf(prove_this_8, conjecture,
% 0.91/0.71 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.91/0.71 thf(zf_stmt_2, negated_conjecture,
% 0.91/0.71 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.91/0.71 thf(zip_derived_cl10, plain,
% 0.91/0.71 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.91/0.71 thf(zip_derived_cl177, plain,
% 0.91/0.71 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.91/0.71 = (sk_c6))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl10])).
% 0.91/0.71 thf(zip_derived_cl2, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.91/0.71 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.91/0.71 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.91/0.71 inference('cnf', [status(esa)], [associativity])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl187, plain,
% 0.91/0.71 ((((identity) = (sk_c6))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl177, zip_derived_cl2, zip_derived_cl0,
% 0.91/0.71 zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl188, plain,
% 0.91/0.71 ((((inverse @ sk_c3) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl187])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl212, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl188, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl260, plain,
% 0.91/0.71 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl61])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl73, plain,
% 0.91/0.71 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl61])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl70, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl61])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl375, plain,
% 0.91/0.71 ((((sk_c3) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl341])).
% 0.91/0.71 thf(prove_this_12, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.91/0.71 thf(zf_stmt_3, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.91/0.71 thf(zip_derived_cl14, plain,
% 0.91/0.71 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl73, plain,
% 0.91/0.71 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl61])).
% 0.91/0.71 thf(zip_derived_cl382, plain,
% 0.91/0.71 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl341, zip_derived_cl73])).
% 0.91/0.71 thf(zip_derived_cl528, plain,
% 0.91/0.71 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl382])).
% 0.91/0.71 thf(prove_this_7, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.91/0.71 thf(zf_stmt_4, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.91/0.71 thf(zip_derived_cl9, plain,
% 0.91/0.71 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.91/0.71 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.91/0.71 thf(zip_derived_cl1083, plain,
% 0.91/0.71 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.91/0.71 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.91/0.71 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl528, zip_derived_cl9])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl1088, plain,
% 0.91/0.71 ((((identity) = (sk_c6))
% 0.91/0.71 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.91/0.71 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl1083, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl1089, plain,
% 0.91/0.71 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1088])).
% 0.91/0.71 thf(zip_derived_cl1098, plain,
% 0.91/0.71 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 0.91/0.71 | ((identity) = (sk_c6))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl375, zip_derived_cl1089])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl1101, plain,
% 0.91/0.71 ((((identity) = (sk_c7))
% 0.91/0.71 | ((identity) = (sk_c6))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl1098, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl1102, plain,
% 0.91/0.71 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1101])).
% 0.91/0.71 thf(prove_this_11, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.91/0.71 thf(zf_stmt_5, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.91/0.71 thf(zip_derived_cl13, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.91/0.71 thf(zip_derived_cl73, plain,
% 0.91/0.71 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl61])).
% 0.91/0.71 thf(zip_derived_cl283, plain,
% 0.91/0.71 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl73])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl376, plain,
% 0.91/0.71 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl341])).
% 0.91/0.71 thf(prove_this_6, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.91/0.71 thf(zf_stmt_6, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.91/0.71 thf(zip_derived_cl8, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.91/0.71 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.91/0.71 thf(zip_derived_cl552, plain,
% 0.91/0.71 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl376, zip_derived_cl8])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl562, plain,
% 0.91/0.71 ((((identity) = (sk_c6))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl552, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl563, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl562])).
% 0.91/0.71 thf(zip_derived_cl1116, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ identity) = (sk_c5))
% 0.91/0.71 | ((identity) = (sk_c6))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1102, zip_derived_cl563])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl1123, plain,
% 0.91/0.71 ((((sk_c6) = (sk_c5)) | ((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl1116, zip_derived_cl341])).
% 0.91/0.71 thf(zip_derived_cl1124, plain,
% 0.91/0.71 ((((identity) = (sk_c6)) | ((sk_c6) = (sk_c5)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1123])).
% 0.91/0.71 thf(prove_this_14, conjecture,
% 0.91/0.71 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.91/0.71 thf(zf_stmt_7, negated_conjecture,
% 0.91/0.71 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.91/0.71 thf(zip_derived_cl16, plain,
% 0.91/0.71 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl33, plain,
% 0.91/0.71 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.91/0.71 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl81, plain,
% 0.91/0.71 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.91/0.71 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl61])).
% 0.91/0.71 thf(prove_this_9, conjecture,
% 0.91/0.71 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.91/0.71 thf(zf_stmt_8, negated_conjecture,
% 0.91/0.71 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.91/0.71 thf(zip_derived_cl11, plain,
% 0.91/0.71 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.91/0.71 thf(zip_derived_cl194, plain,
% 0.91/0.71 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.91/0.71 = (sk_c6))
% 0.91/0.71 | ((inverse @ sk_c4) = (sk_c5))
% 0.91/0.71 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl11])).
% 0.91/0.71 thf(zip_derived_cl2, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.91/0.71 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.91/0.71 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.91/0.71 inference('cnf', [status(esa)], [associativity])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl204, plain,
% 0.91/0.71 ((((identity) = (sk_c6))
% 0.91/0.71 | ((inverse @ sk_c4) = (sk_c5))
% 0.91/0.71 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl194, zip_derived_cl2, zip_derived_cl0,
% 0.91/0.71 zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl205, plain,
% 0.91/0.71 ((((inverse @ sk_c4) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl208, plain,
% 0.91/0.71 ((((multiply @ sk_c5 @ sk_c4) = (identity)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl1129, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 0.91/0.71 | ((identity) = (sk_c6))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1124, zip_derived_cl208])).
% 0.91/0.71 thf(zip_derived_cl1136, plain,
% 0.91/0.71 ((((identity) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c4) = (identity)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1129])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl1145, plain,
% 0.91/0.71 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1136, zip_derived_cl61])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl1152, plain,
% 0.91/0.71 ((((sk_c4) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl1145, zip_derived_cl341])).
% 0.91/0.71 thf(prove_this_15, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.91/0.71 thf(zf_stmt_9, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.91/0.71 thf(zip_derived_cl17, plain,
% 0.91/0.71 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.91/0.71 thf(zip_derived_cl382, plain,
% 0.91/0.71 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl341, zip_derived_cl73])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl516, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl587, plain,
% 0.91/0.71 ((((multiply @ sk_c1 @ sk_c7) = (identity))
% 0.91/0.71 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl516])).
% 0.91/0.71 thf(prove_this_10, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.91/0.71 thf(zf_stmt_10, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.91/0.71 thf(zip_derived_cl12, plain,
% 0.91/0.71 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 0.91/0.71 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.91/0.71 thf(zip_derived_cl1345, plain,
% 0.91/0.71 ((((identity) = (sk_c6))
% 0.91/0.71 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 0.91/0.71 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl587, zip_derived_cl12])).
% 0.91/0.71 thf(zip_derived_cl1357, plain,
% 0.91/0.71 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1345])).
% 0.91/0.71 thf(zip_derived_cl1371, plain,
% 0.91/0.71 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c5))
% 0.91/0.71 | ((identity) = (sk_c6))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1152, zip_derived_cl1357])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl1373, plain,
% 0.91/0.71 ((((identity) = (sk_c5))
% 0.91/0.71 | ((identity) = (sk_c6))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl1371, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl1374, plain,
% 0.91/0.71 ((((identity) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1373])).
% 0.91/0.71 thf(zip_derived_cl1124, plain,
% 0.91/0.71 ((((identity) = (sk_c6)) | ((sk_c6) = (sk_c5)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1123])).
% 0.91/0.71 thf(zip_derived_cl1384, plain,
% 0.91/0.71 ((((sk_c6) = (identity))
% 0.91/0.71 | ((identity) = (sk_c6))
% 0.91/0.71 | ((identity) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl1374, zip_derived_cl1124])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1414, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.91/0.71 (((X0) != (sk_c5))
% 0.91/0.71 | ((inverse @ X0) != (sk_c5))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((X1) != (sk_c5))
% 0.91/0.71 | ((sk_c5) != (sk_c5))
% 0.91/0.71 | ((inverse @ X2) != (identity))
% 0.91/0.71 | ((X2) != (sk_c5))
% 0.91/0.71 | ((inverse @ X3) != (sk_c5))
% 0.91/0.71 | ((multiply @ X3 @ sk_c5) != (identity))
% 0.91/0.71 | ((sk_c5) != (sk_c7)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl29, zip_derived_cl1391, zip_derived_cl341,
% 0.91/0.71 zip_derived_cl1391, zip_derived_cl1391, zip_derived_cl341,
% 0.91/0.71 zip_derived_cl1391, zip_derived_cl0, zip_derived_cl1391,
% 0.91/0.71 zip_derived_cl1391, zip_derived_cl0, zip_derived_cl0,
% 0.91/0.71 zip_derived_cl1391, zip_derived_cl1391, zip_derived_cl341,
% 0.91/0.71 zip_derived_cl1391, zip_derived_cl0, zip_derived_cl1391,
% 0.91/0.71 zip_derived_cl0, zip_derived_cl1391, zip_derived_cl1391,
% 0.91/0.71 zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl1415, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.91/0.71 (((sk_c5) != (sk_c7))
% 0.91/0.71 | ((multiply @ X3 @ sk_c5) != (identity))
% 0.91/0.71 | ((inverse @ X3) != (sk_c5))
% 0.91/0.71 | ((X2) != (sk_c5))
% 0.91/0.71 | ((inverse @ X2) != (identity))
% 0.91/0.71 | ((X1) != (sk_c5))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (sk_c5))
% 0.91/0.71 | ((X0) != (sk_c5)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1414])).
% 0.91/0.71 thf(prove_this_1, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 0.91/0.71 thf(zf_stmt_11, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.91/0.71 thf(zip_derived_cl3, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.91/0.71 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1392, plain, ((((sk_c7) = (sk_c5)) | ((sk_c5) = (sk_c7)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl3, zip_derived_cl1391, zip_derived_cl0,
% 0.91/0.71 zip_derived_cl1391, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl1393, plain, (((sk_c7) = (sk_c5))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1392])).
% 0.91/0.71 thf(zip_derived_cl1480, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.91/0.71 (((sk_c5) != (sk_c5))
% 0.91/0.71 | ((multiply @ X3 @ sk_c5) != (identity))
% 0.91/0.71 | ((inverse @ X3) != (sk_c5))
% 0.91/0.71 | ((X2) != (sk_c5))
% 0.91/0.71 | ((inverse @ X2) != (identity))
% 0.91/0.71 | ((X1) != (sk_c5))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (sk_c5))
% 0.91/0.71 | ((X0) != (sk_c5)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl1415, zip_derived_cl1393])).
% 0.91/0.71 thf(zip_derived_cl1481, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.91/0.71 (((X0) != (sk_c5))
% 0.91/0.71 | ((inverse @ X0) != (sk_c5))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((X1) != (sk_c5))
% 0.91/0.71 | ((inverse @ X2) != (identity))
% 0.91/0.71 | ((X2) != (sk_c5))
% 0.91/0.71 | ((inverse @ X3) != (sk_c5))
% 0.91/0.71 | ((multiply @ X3 @ sk_c5) != (identity)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1480])).
% 0.91/0.71 thf(zip_derived_cl1482, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.91/0.71 (((multiply @ X0 @ sk_c5) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (sk_c5))
% 0.91/0.71 | ((X1) != (sk_c5))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((X2) != (sk_c5))
% 0.91/0.71 | ((inverse @ X2) != (identity))
% 0.91/0.71 | ((inverse @ sk_c5) != (sk_c5)))),
% 0.91/0.71 inference('eq_res', [status(thm)], [zip_derived_cl1481])).
% 0.91/0.71 thf(prove_this_17, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.91/0.71 thf(zf_stmt_12, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.91/0.71 thf(zip_derived_cl19, plain,
% 0.91/0.71 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.91/0.71 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl1393, plain, (((sk_c7) = (sk_c5))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1392])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl2365, plain, ((((sk_c3) = (sk_c5)) | ((sk_c2) = (sk_c5)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl19, zip_derived_cl1391, zip_derived_cl341,
% 0.91/0.71 zip_derived_cl1393, zip_derived_cl1391, zip_derived_cl341])).
% 0.91/0.71 thf(prove_this_22, conjecture,
% 0.91/0.71 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.91/0.71 thf(zf_stmt_13, negated_conjecture,
% 0.91/0.71 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.91/0.71 thf(zip_derived_cl24, plain,
% 0.91/0.71 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.91/0.71 thf(zip_derived_cl382, plain,
% 0.91/0.71 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl341, zip_derived_cl73])).
% 0.91/0.71 thf(zip_derived_cl533, plain,
% 0.91/0.71 ((((sk_c2) = (inverse @ sk_c6)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl382])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl72, plain,
% 0.91/0.71 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl61])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl103, plain,
% 0.91/0.71 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl61])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl328, plain, (((inverse @ identity) = (identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl1442, plain,
% 0.91/0.71 ((((sk_c2) = (identity)) | ((sk_c3) = (sk_c7)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl533, zip_derived_cl1391, zip_derived_cl328,
% 0.91/0.71 zip_derived_cl1391, zip_derived_cl341])).
% 0.91/0.71 thf(zip_derived_cl1393, plain, (((sk_c7) = (sk_c5))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1392])).
% 0.91/0.71 thf(zip_derived_cl1485, plain,
% 0.91/0.71 ((((sk_c2) = (identity)) | ((sk_c3) = (sk_c5)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl1442, zip_derived_cl1393])).
% 0.91/0.71 thf(zip_derived_cl2372, plain,
% 0.91/0.71 ((((sk_c5) = (identity)) | ((sk_c3) = (sk_c5)) | ((sk_c3) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl2365, zip_derived_cl1485])).
% 0.91/0.71 thf(zip_derived_cl2390, plain,
% 0.91/0.71 ((((sk_c3) = (sk_c5)) | ((sk_c5) = (identity)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2372])).
% 0.91/0.71 thf(prove_this_23, conjecture,
% 0.91/0.71 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.91/0.71 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.91/0.71 thf(zf_stmt_14, negated_conjecture,
% 0.91/0.71 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.91/0.71 thf(zip_derived_cl25, plain,
% 0.91/0.71 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl34, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl61, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl77, plain,
% 0.91/0.71 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl61])).
% 0.91/0.71 thf(prove_this_18, conjecture,
% 0.91/0.71 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.91/0.71 thf(zf_stmt_15, negated_conjecture,
% 0.91/0.71 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.91/0.71 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.91/0.71 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.91/0.71 thf(zip_derived_cl20, plain,
% 0.91/0.71 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.91/0.71 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.91/0.71 thf(zip_derived_cl131, plain,
% 0.91/0.71 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.91/0.71 = (sk_c5))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl20])).
% 0.91/0.71 thf(zip_derived_cl2, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.91/0.71 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.91/0.71 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.91/0.71 inference('cnf', [status(esa)], [associativity])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl140, plain,
% 0.91/0.71 ((((identity) = (sk_c5))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6))
% 0.91/0.71 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl131, zip_derived_cl2, zip_derived_cl0,
% 0.91/0.71 zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl141, plain,
% 0.91/0.71 ((((inverse @ sk_c3) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl140])).
% 0.91/0.71 thf(zip_derived_cl1, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_inverse])).
% 0.91/0.71 thf(zip_derived_cl145, plain,
% 0.91/0.71 ((((multiply @ sk_c6 @ sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl1391, plain, (((sk_c6) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl1384])).
% 0.91/0.71 thf(zip_derived_cl0, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.91/0.71 inference('cnf', [status(esa)], [left_identity])).
% 0.91/0.71 thf(zip_derived_cl1430, plain,
% 0.91/0.71 ((((sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl145, zip_derived_cl1391, zip_derived_cl0])).
% 0.91/0.71 thf(zip_derived_cl2407, plain,
% 0.91/0.71 ((((sk_c5) = (identity))
% 0.91/0.71 | ((sk_c5) = (identity))
% 0.91/0.71 | ((identity) = (sk_c5)))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl2390, zip_derived_cl1430])).
% 0.91/0.71 thf(zip_derived_cl2418, plain, (((sk_c5) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.91/0.71 thf(zip_derived_cl341, plain,
% 0.91/0.71 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl70])).
% 0.91/0.71 thf(zip_derived_cl2418, plain, (((sk_c5) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.91/0.71 thf(zip_derived_cl2418, plain, (((sk_c5) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.91/0.71 thf(zip_derived_cl2418, plain, (((sk_c5) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.91/0.71 thf(zip_derived_cl2418, plain, (((sk_c5) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.91/0.71 thf(zip_derived_cl328, plain, (((inverse @ identity) = (identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl2418, plain, (((sk_c5) = (identity))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.91/0.71 thf(zip_derived_cl2441, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.91/0.71 (((X0) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (identity))
% 0.91/0.71 | ((X1) != (identity))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((X2) != (identity))
% 0.91/0.71 | ((inverse @ X2) != (identity))
% 0.91/0.71 | ((identity) != (identity)))),
% 0.91/0.71 inference('demod', [status(thm)],
% 0.91/0.71 [zip_derived_cl1482, zip_derived_cl2418, zip_derived_cl341,
% 0.91/0.71 zip_derived_cl2418, zip_derived_cl2418, zip_derived_cl2418,
% 0.91/0.71 zip_derived_cl2418, zip_derived_cl328, zip_derived_cl2418])).
% 0.91/0.71 thf(zip_derived_cl2442, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.91/0.71 (((inverse @ X2) != (identity))
% 0.91/0.71 | ((X2) != (identity))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((X1) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (identity))
% 0.91/0.71 | ((X0) != (identity)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2441])).
% 0.91/0.71 thf(zip_derived_cl2520, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 (((X0) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (identity))
% 0.91/0.71 | ((X1) != (identity))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((inverse @ identity) != (identity)))),
% 0.91/0.71 inference('eq_res', [status(thm)], [zip_derived_cl2442])).
% 0.91/0.71 thf(zip_derived_cl328, plain, (((inverse @ identity) = (identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl2521, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 (((X0) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (identity))
% 0.91/0.71 | ((X1) != (identity))
% 0.91/0.71 | ((inverse @ X1) != (identity))
% 0.91/0.71 | ((identity) != (identity)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl2520, zip_derived_cl328])).
% 0.91/0.71 thf(zip_derived_cl2522, plain,
% 0.91/0.71 (![X0 : $i, X1 : $i]:
% 0.91/0.71 (((inverse @ X1) != (identity))
% 0.91/0.71 | ((X1) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (identity))
% 0.91/0.71 | ((X0) != (identity)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2521])).
% 0.91/0.71 thf(zip_derived_cl2523, plain,
% 0.91/0.71 (![X0 : $i]:
% 0.91/0.71 (((X0) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (identity))
% 0.91/0.71 | ((inverse @ identity) != (identity)))),
% 0.91/0.71 inference('eq_res', [status(thm)], [zip_derived_cl2522])).
% 0.91/0.71 thf(zip_derived_cl328, plain, (((inverse @ identity) = (identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl2524, plain,
% 0.91/0.71 (![X0 : $i]:
% 0.91/0.71 (((X0) != (identity))
% 0.91/0.71 | ((inverse @ X0) != (identity))
% 0.91/0.71 | ((identity) != (identity)))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl2523, zip_derived_cl328])).
% 0.91/0.71 thf(zip_derived_cl2525, plain,
% 0.91/0.71 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2524])).
% 0.91/0.71 thf(zip_derived_cl2526, plain, (((inverse @ identity) != (identity))),
% 0.91/0.71 inference('eq_res', [status(thm)], [zip_derived_cl2525])).
% 0.91/0.71 thf(zip_derived_cl328, plain, (((inverse @ identity) = (identity))),
% 0.91/0.71 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl1])).
% 0.91/0.71 thf(zip_derived_cl2527, plain, (((identity) != (identity))),
% 0.91/0.71 inference('demod', [status(thm)], [zip_derived_cl2526, zip_derived_cl328])).
% 0.91/0.71 thf(zip_derived_cl2528, plain, ($false),
% 0.91/0.71 inference('simplify', [status(thm)], [zip_derived_cl2527])).
% 0.91/0.71
% 0.91/0.71 % SZS output end Refutation
% 0.91/0.71
% 0.91/0.71
% 0.91/0.71 % Terminating...
% 1.10/0.78 % Runner terminated.
% 1.10/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------