%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP345-1 : 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.RzRWPNjKyl true
% Computer : n006.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 04:36:16 PM UTC 2025
% Result : Unsatisfiable 4.48s 1.23s
% Output : Refutation 4.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP345-1 : TPTP v9.2.0. Released v2.5.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RzRWPNjKyl true
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:18:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.48/1.23 % Solved by fo/fo7.sh.
% 4.48/1.23 % done 603 iterations in 0.463s
% 4.48/1.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.48/1.23 % SZS output start Refutation
% 4.48/1.23 thf(sk_c2_type, type, sk_c2: $i).
% 4.48/1.23 thf(sk_c5_type, type, sk_c5: $i).
% 4.48/1.23 thf(sk_c1_type, type, sk_c1: $i).
% 4.48/1.23 thf(sk_c4_type, type, sk_c4: $i).
% 4.48/1.23 thf(identity_type, type, identity: $i).
% 4.48/1.23 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.48/1.23 thf(sk_c7_type, type, sk_c7: $i).
% 4.48/1.23 thf(inverse_type, type, inverse: $i > $i).
% 4.48/1.23 thf(sk_c3_type, type, sk_c3: $i).
% 4.48/1.23 thf(sk_c6_type, type, sk_c6: $i).
% 4.48/1.23 thf(prove_this_31, conjecture,
% 4.48/1.23 (~( ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 4.48/1.23 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 4.48/1.23 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 4.48/1.23 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) ))).
% 4.48/1.23 thf(zf_stmt_0, negated_conjecture,
% 4.48/1.23 (( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 4.48/1.23 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 4.48/1.23 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 4.48/1.23 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 4.48/1.23 thf(zip_derived_cl33, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((inverse @ X0) != (sk_c6))
% 4.48/1.23 | ((multiply @ X0 @ sk_c6) != (sk_c5))
% 4.48/1.23 | ((inverse @ sk_c6) != (sk_c5))
% 4.48/1.23 | ((inverse @ X1) != (sk_c7))
% 4.48/1.23 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7))
% 4.48/1.23 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 4.48/1.23 | ((inverse @ X2) != (sk_c6))
% 4.48/1.23 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 4.48/1.23 | ((inverse @ X3) != (sk_c7))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.48/1.23 thf(zip_derived_cl34, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((inverse @ X0) != (sk_c6))
% 4.48/1.23 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 4.48/1.23 | ((inverse @ sk_c6) != (sk_c5))
% 4.48/1.23 | ((inverse @ X1) != (sk_c7))
% 4.48/1.23 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c7))
% 4.48/1.23 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 4.48/1.23 | ((inverse @ X2) != (sk_c6))
% 4.48/1.23 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 4.48/1.23 | ((inverse @ X3) != (sk_c7))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 4.48/1.23 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 4.48/1.23 thf(prove_this_21, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 4.48/1.23 thf(zf_stmt_1, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 4.48/1.23 thf(zip_derived_cl23, plain,
% 4.48/1.23 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.48/1.23 thf(prove_this_27, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 4.48/1.23 thf(zf_stmt_2, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 4.48/1.23 thf(zip_derived_cl29, plain,
% 4.48/1.23 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.48/1.23 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(associativity, axiom,
% 4.48/1.23 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 4.48/1.23 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 4.48/1.23 thf(zip_derived_cl2, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.48/1.23 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.48/1.23 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.48/1.23 inference('cnf', [status(esa)], [associativity])).
% 4.48/1.23 thf(zip_derived_cl61, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((multiply @ identity @ X0)
% 4.48/1.23 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.48/1.23 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl110, plain,
% 4.48/1.23 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 4.48/1.23 | ((inverse @ sk_c3) = (sk_c7)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl1340, plain,
% 4.48/1.23 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 4.48/1.23 | ((inverse @ sk_c3) = (sk_c7))
% 4.48/1.23 | ((inverse @ sk_c3) = (sk_c7)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl110])).
% 4.48/1.23 thf(zip_derived_cl1350, plain,
% 4.48/1.23 ((((inverse @ sk_c3) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl1340])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl94, plain,
% 4.48/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl91, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl461, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 4.48/1.23 thf(zip_derived_cl94, plain,
% 4.48/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl497, plain,
% 4.48/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl94])).
% 4.48/1.23 thf(zip_derived_cl1360, plain,
% 4.48/1.23 ((((sk_c3) = (inverse @ sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1350, zip_derived_cl497])).
% 4.48/1.23 thf(prove_this_20, conjecture,
% 4.48/1.23 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 4.48/1.23 thf(zf_stmt_3, negated_conjecture,
% 4.48/1.23 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 4.48/1.23 thf(zip_derived_cl22, plain,
% 4.48/1.23 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.48/1.23 thf(prove_this_26, conjecture,
% 4.48/1.23 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 4.48/1.23 thf(zf_stmt_4, negated_conjecture,
% 4.48/1.23 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 4.48/1.23 thf(zip_derived_cl28, plain,
% 4.48/1.23 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl342, plain,
% 4.48/1.23 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 4.48/1.23 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl2675, plain,
% 4.48/1.23 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 4.48/1.23 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl342])).
% 4.48/1.23 thf(zip_derived_cl2686, plain,
% 4.48/1.23 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 4.48/1.23 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl2675])).
% 4.48/1.23 thf(zip_derived_cl2741, plain,
% 4.48/1.23 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 4.48/1.23 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 4.48/1.23 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl2686])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl2746, plain,
% 4.48/1.23 ((((identity) = (sk_c6))
% 4.48/1.23 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 4.48/1.23 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl2741, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl2747, plain,
% 4.48/1.23 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6)) | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl2746])).
% 4.48/1.23 thf(prove_this_3, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 4.48/1.23 thf(zf_stmt_5, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 4.48/1.23 thf(zip_derived_cl5, plain,
% 4.48/1.23 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl41, plain,
% 4.48/1.23 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl101, plain,
% 4.48/1.23 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl80])).
% 4.48/1.23 thf(prove_this_2, conjecture,
% 4.48/1.23 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 4.48/1.23 thf(zf_stmt_6, negated_conjecture,
% 4.48/1.23 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 4.48/1.23 thf(zip_derived_cl4, plain,
% 4.48/1.23 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.48/1.23 thf(zip_derived_cl273, plain,
% 4.48/1.23 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 4.48/1.23 = (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl4])).
% 4.48/1.23 thf(zip_derived_cl2, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.48/1.23 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.48/1.23 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.48/1.23 inference('cnf', [status(esa)], [associativity])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl276, plain,
% 4.48/1.23 ((((identity) = (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('demod', [status(thm)],
% 4.48/1.23 [zip_derived_cl273, zip_derived_cl2, zip_derived_cl0,
% 4.48/1.23 zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl277, plain,
% 4.48/1.23 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl276])).
% 4.48/1.23 thf(zip_derived_cl2762, plain,
% 4.48/1.23 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 4.48/1.23 | ((identity) = (sk_c6))
% 4.48/1.23 | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl2747, zip_derived_cl277])).
% 4.48/1.23 thf(zip_derived_cl2773, plain,
% 4.48/1.23 ((((identity) = (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl2762])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl2819, plain,
% 4.48/1.23 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c6)))
% 4.48/1.23 | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl2773, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl2831, plain,
% 4.48/1.23 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl2819, zip_derived_cl80])).
% 4.48/1.23 thf(prove_this_12, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 4.48/1.23 thf(zf_stmt_7, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 4.48/1.23 thf(zip_derived_cl14, plain,
% 4.48/1.23 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.48/1.23 thf(prove_this_18, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 4.48/1.23 thf(zf_stmt_8, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 4.48/1.23 thf(zip_derived_cl20, plain,
% 4.48/1.23 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl109, plain,
% 4.48/1.23 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 4.48/1.23 | ((inverse @ sk_c4) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl1308, plain,
% 4.48/1.23 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.48/1.23 | ((inverse @ sk_c4) = (sk_c6))
% 4.48/1.23 | ((inverse @ sk_c4) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl109])).
% 4.48/1.23 thf(zip_derived_cl1315, plain,
% 4.48/1.23 ((((inverse @ sk_c4) = (sk_c6)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl1308])).
% 4.48/1.23 thf(zip_derived_cl497, plain,
% 4.48/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl94])).
% 4.48/1.23 thf(zip_derived_cl1325, plain,
% 4.48/1.23 ((((sk_c4) = (inverse @ sk_c6)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1315, zip_derived_cl497])).
% 4.48/1.23 thf(prove_this_11, conjecture,
% 4.48/1.23 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 4.48/1.23 thf(zf_stmt_9, negated_conjecture,
% 4.48/1.23 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 4.48/1.23 thf(zip_derived_cl13, plain,
% 4.48/1.23 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.48/1.23 thf(prove_this_17, conjecture,
% 4.48/1.23 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 4.48/1.23 thf(zf_stmt_10, negated_conjecture,
% 4.48/1.23 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 4.48/1.23 thf(zip_derived_cl19, plain,
% 4.48/1.23 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl136, plain,
% 4.48/1.23 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 4.48/1.23 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl2571, plain,
% 4.48/1.23 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.48/1.23 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl136])).
% 4.48/1.23 thf(zip_derived_cl2579, plain,
% 4.48/1.23 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl2571])).
% 4.48/1.23 thf(zip_derived_cl2921, plain,
% 4.48/1.23 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.48/1.23 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1325, zip_derived_cl2579])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl2926, plain,
% 4.48/1.23 ((((identity) = (sk_c5))
% 4.48/1.23 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.48/1.23 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl2921, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl2927, plain,
% 4.48/1.23 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((identity) = (sk_c5)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl2926])).
% 4.48/1.23 thf(prove_this_10, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 4.48/1.23 thf(zf_stmt_11, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 4.48/1.23 thf(zip_derived_cl12, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.48/1.23 thf(prove_this_16, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 4.48/1.23 thf(zf_stmt_12, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 4.48/1.23 thf(zip_derived_cl18, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_12])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl108, plain,
% 4.48/1.23 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl1221, plain,
% 4.48/1.23 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl108])).
% 4.48/1.23 thf(zip_derived_cl1230, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl1221])).
% 4.48/1.23 thf(zip_derived_cl2947, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (identity))
% 4.48/1.23 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.48/1.23 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl2927, zip_derived_cl1230])).
% 4.48/1.23 thf(zip_derived_cl2960, plain,
% 4.48/1.23 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 4.48/1.23 | ((inverse @ sk_c6) = (identity)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl2947])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl2964, plain,
% 4.48/1.23 ((((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 4.48/1.23 | ((inverse @ sk_c6) = (identity)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl2960, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl4364, plain,
% 4.48/1.23 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6))
% 4.48/1.23 | ((identity) = (sk_c6))
% 4.48/1.23 | ((inverse @ sk_c6) = (identity)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl2831, zip_derived_cl2964])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl4367, plain,
% 4.48/1.23 ((((sk_c7) = (identity))
% 4.48/1.23 | ((identity) = (sk_c6))
% 4.48/1.23 | ((inverse @ sk_c6) = (identity)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl4364, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl2831, plain,
% 4.48/1.23 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl2819, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl4404, plain,
% 4.48/1.23 ((((identity) = (sk_c6))
% 4.48/1.23 | ((inverse @ sk_c6) = (identity))
% 4.48/1.23 | ((identity) = (sk_c6))
% 4.48/1.23 | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl4367, zip_derived_cl2831])).
% 4.48/1.23 thf(zip_derived_cl4425, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4404])).
% 4.48/1.23 thf(zip_derived_cl497, plain,
% 4.48/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl94])).
% 4.48/1.23 thf(zip_derived_cl4438, plain,
% 4.48/1.23 ((((sk_c6) = (inverse @ identity)) | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl4425, zip_derived_cl497])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl93, plain,
% 4.48/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl129, plain,
% 4.48/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl4455, plain,
% 4.48/1.23 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl4438, zip_derived_cl448])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl461, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl461, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl4504, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (sk_c7))
% 4.48/1.23 | ((identity) != (sk_c5))
% 4.48/1.23 | ((inverse @ X1) != (sk_c7))
% 4.48/1.23 | ((multiply @ X1 @ sk_c7) != (identity))
% 4.48/1.23 | ((sk_c7) != (sk_c7))
% 4.48/1.23 | ((multiply @ X2 @ sk_c7) != (identity))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((X3) != (sk_c7))
% 4.48/1.23 | ((inverse @ X3) != (sk_c7))
% 4.48/1.23 | ((sk_c7) != (sk_c5)))),
% 4.48/1.23 inference('demod', [status(thm)],
% 4.48/1.23 [zip_derived_cl34, zip_derived_cl4456, zip_derived_cl4456,
% 4.48/1.23 zip_derived_cl461, zip_derived_cl4456, zip_derived_cl0,
% 4.48/1.23 zip_derived_cl4456, zip_derived_cl448, zip_derived_cl4456,
% 4.48/1.23 zip_derived_cl4456, zip_derived_cl4456, zip_derived_cl0,
% 4.48/1.23 zip_derived_cl0, zip_derived_cl4456, zip_derived_cl0,
% 4.48/1.23 zip_derived_cl4456, zip_derived_cl4456, zip_derived_cl4456,
% 4.48/1.23 zip_derived_cl461, zip_derived_cl4456, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl4505, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((sk_c7) != (sk_c5))
% 4.48/1.23 | ((inverse @ X3) != (sk_c7))
% 4.48/1.23 | ((X3) != (sk_c7))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((multiply @ X2 @ sk_c7) != (identity))
% 4.48/1.23 | ((multiply @ X1 @ sk_c7) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (sk_c7))
% 4.48/1.23 | ((identity) != (sk_c5))
% 4.48/1.23 | ((X0) != (sk_c7))
% 4.48/1.23 | ((inverse @ X0) != (identity)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4504])).
% 4.48/1.23 thf(prove_this_1, conjecture,
% 4.48/1.23 (~( ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 4.48/1.23 thf(zf_stmt_13, negated_conjecture,
% 4.48/1.23 (( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 4.48/1.23 thf(zip_derived_cl3, plain,
% 4.48/1.23 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl4474, plain, ((((sk_c5) = (sk_c7)) | ((sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('demod', [status(thm)],
% 4.48/1.23 [zip_derived_cl3, zip_derived_cl4456, zip_derived_cl0,
% 4.48/1.23 zip_derived_cl4456, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl4475, plain, (((sk_c5) = (sk_c7))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4474])).
% 4.48/1.23 thf(zip_derived_cl4475, plain, (((sk_c5) = (sk_c7))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4474])).
% 4.48/1.23 thf(zip_derived_cl4646, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((sk_c7) != (sk_c7))
% 4.48/1.23 | ((inverse @ X3) != (sk_c7))
% 4.48/1.23 | ((X3) != (sk_c7))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((multiply @ X2 @ sk_c7) != (identity))
% 4.48/1.23 | ((multiply @ X1 @ sk_c7) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (sk_c7))
% 4.48/1.23 | ((identity) != (sk_c7))
% 4.48/1.23 | ((X0) != (sk_c7))
% 4.48/1.23 | ((inverse @ X0) != (identity)))),
% 4.48/1.23 inference('demod', [status(thm)],
% 4.48/1.23 [zip_derived_cl4505, zip_derived_cl4475, zip_derived_cl4475])).
% 4.48/1.23 thf(zip_derived_cl4647, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (sk_c7))
% 4.48/1.23 | ((identity) != (sk_c7))
% 4.48/1.23 | ((inverse @ X1) != (sk_c7))
% 4.48/1.23 | ((multiply @ X1 @ sk_c7) != (identity))
% 4.48/1.23 | ((multiply @ X2 @ sk_c7) != (identity))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((X3) != (sk_c7))
% 4.48/1.23 | ((inverse @ X3) != (sk_c7)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4646])).
% 4.48/1.23 thf(zip_derived_cl4648, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((identity) != (sk_c7))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((multiply @ X1 @ identity) != (identity))
% 4.48/1.23 | ((multiply @ X2 @ identity) != (identity))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((X3) != (identity))
% 4.48/1.23 | ((inverse @ X3) != (identity)))),
% 4.48/1.23 inference('local_rewriting', [status(thm)], [zip_derived_cl4647])).
% 4.48/1.23 thf(zip_derived_cl461, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 4.48/1.23 thf(zip_derived_cl461, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 4.48/1.23 thf(zip_derived_cl4649, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((identity) != (sk_c7))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X1) != (identity))
% 4.48/1.23 | ((X2) != (identity))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((X3) != (identity))
% 4.48/1.23 | ((inverse @ X3) != (identity)))),
% 4.48/1.23 inference('demod', [status(thm)],
% 4.48/1.23 [zip_derived_cl4648, zip_derived_cl461, zip_derived_cl461])).
% 4.48/1.23 thf(prove_this_4, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 4.48/1.23 thf(zf_stmt_14, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 4.48/1.23 thf(zip_derived_cl6, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_14])).
% 4.48/1.23 thf(prove_this_22, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 4.48/1.23 thf(zf_stmt_15, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 4.48/1.23 thf(zip_derived_cl24, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_15])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl40, plain,
% 4.48/1.23 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl98, plain,
% 4.48/1.23 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl461, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 4.48/1.23 thf(zip_derived_cl482, plain,
% 4.48/1.23 ((((sk_c2) = (inverse @ sk_c6)) | ((inverse @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl461])).
% 4.48/1.23 thf(prove_this_28, conjecture,
% 4.48/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 4.48/1.23 thf(zf_stmt_16, negated_conjecture,
% 4.48/1.23 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 4.48/1.23 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 4.48/1.23 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 4.48/1.23 thf(zip_derived_cl30, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_16])).
% 4.48/1.23 thf(zip_derived_cl532, plain,
% 4.48/1.23 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl30])).
% 4.48/1.23 thf(zip_derived_cl545, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl532])).
% 4.48/1.23 thf(zip_derived_cl1809, plain,
% 4.48/1.23 ((((multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl545])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl1818, plain,
% 4.48/1.23 ((((sk_c7) = (sk_c6))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5))
% 4.48/1.23 | ((inverse @ sk_c6) = (sk_c5)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl1809, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl1819, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl1818])).
% 4.48/1.23 thf(zip_derived_cl3, plain,
% 4.48/1.23 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.48/1.23 thf(zip_derived_cl1825, plain,
% 4.48/1.23 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c7))
% 4.48/1.23 | ((sk_c7) = (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1819, zip_derived_cl3])).
% 4.48/1.23 thf(zip_derived_cl497, plain,
% 4.48/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl94])).
% 4.48/1.23 thf(zip_derived_cl1, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 4.48/1.23 thf(zip_derived_cl502, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl497, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl1840, plain,
% 4.48/1.23 ((((identity) = (sk_c7))
% 4.48/1.23 | ((sk_c7) = (sk_c6))
% 4.48/1.23 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl1825, zip_derived_cl502])).
% 4.48/1.23 thf(zip_derived_cl1819, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl1818])).
% 4.48/1.23 thf(zip_derived_cl1913, plain,
% 4.48/1.23 ((((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 4.48/1.23 | ((sk_c7) = (sk_c6))
% 4.48/1.23 | ((identity) = (sk_c7))
% 4.48/1.23 | ((sk_c7) = (sk_c6)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1840, zip_derived_cl1819])).
% 4.48/1.23 thf(zip_derived_cl1919, plain,
% 4.48/1.23 ((((identity) = (sk_c7))
% 4.48/1.23 | ((sk_c7) = (sk_c6))
% 4.48/1.23 | ((inverse @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl1913])).
% 4.48/1.23 thf(zip_derived_cl80, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.48/1.23 thf(zip_derived_cl1967, plain,
% 4.48/1.23 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ (inverse @ sk_c6)))
% 4.48/1.23 | ((sk_c7) = (sk_c6))
% 4.48/1.23 | ((identity) = (sk_c7)))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl1919, zip_derived_cl80])).
% 4.48/1.23 thf(zip_derived_cl2099, plain,
% 4.48/1.23 ((((multiply @ (inverse @ sk_c6) @ (inverse @ sk_c6)) != (identity))
% 4.48/1.23 | ((identity) = (sk_c7))
% 4.48/1.23 | ((sk_c7) = (sk_c6)))),
% 4.48/1.23 inference('eq_fact', [status(thm)], [zip_derived_cl1967])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl0, plain,
% 4.48/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.48/1.23 inference('cnf', [status(esa)], [left_identity])).
% 4.48/1.23 thf(zip_derived_cl4456, plain, (((sk_c6) = (identity))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4455])).
% 4.48/1.23 thf(zip_derived_cl4621, plain,
% 4.48/1.23 ((((identity) != (identity))
% 4.48/1.23 | ((identity) = (sk_c7))
% 4.48/1.23 | ((sk_c7) = (identity)))),
% 4.48/1.23 inference('demod', [status(thm)],
% 4.48/1.23 [zip_derived_cl2099, zip_derived_cl4456, zip_derived_cl448,
% 4.48/1.23 zip_derived_cl4456, zip_derived_cl448, zip_derived_cl0,
% 4.48/1.23 zip_derived_cl4456])).
% 4.48/1.23 thf(zip_derived_cl4622, plain, (((identity) = (sk_c7))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4621])).
% 4.48/1.23 thf(zip_derived_cl4656, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((identity) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X1) != (identity))
% 4.48/1.23 | ((X2) != (identity))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((X3) != (identity))
% 4.48/1.23 | ((inverse @ X3) != (identity)))),
% 4.48/1.23 inference('demod', [status(thm)],
% 4.48/1.23 [zip_derived_cl4649, zip_derived_cl4622])).
% 4.48/1.23 thf(zip_derived_cl4657, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.48/1.23 (((inverse @ X3) != (identity))
% 4.48/1.23 | ((X3) != (identity))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((X2) != (identity))
% 4.48/1.23 | ((X1) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((inverse @ X0) != (identity)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4656])).
% 4.48/1.23 thf(zip_derived_cl4697, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X1) != (identity))
% 4.48/1.23 | ((X2) != (identity))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((inverse @ identity) != (identity)))),
% 4.48/1.23 inference('eq_res', [status(thm)], [zip_derived_cl4657])).
% 4.48/1.23 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl4698, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X1) != (identity))
% 4.48/1.23 | ((X2) != (identity))
% 4.48/1.23 | ((inverse @ X2) != (identity))
% 4.48/1.23 | ((identity) != (identity)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl4697, zip_derived_cl448])).
% 4.48/1.23 thf(zip_derived_cl4699, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.48/1.23 (((inverse @ X2) != (identity))
% 4.48/1.23 | ((X2) != (identity))
% 4.48/1.23 | ((X1) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((inverse @ X0) != (identity)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4698])).
% 4.48/1.23 thf(zip_derived_cl4700, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X1) != (identity))
% 4.48/1.23 | ((inverse @ identity) != (identity)))),
% 4.48/1.23 inference('eq_res', [status(thm)], [zip_derived_cl4699])).
% 4.48/1.23 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl4701, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X1) != (identity))
% 4.48/1.23 | ((identity) != (identity)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl4700, zip_derived_cl448])).
% 4.48/1.23 thf(zip_derived_cl4702, plain,
% 4.48/1.23 (![X0 : $i, X1 : $i]:
% 4.48/1.23 (((X1) != (identity))
% 4.48/1.23 | ((inverse @ X1) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((inverse @ X0) != (identity)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4701])).
% 4.48/1.23 thf(zip_derived_cl4703, plain,
% 4.48/1.23 (![X0 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((inverse @ identity) != (identity)))),
% 4.48/1.23 inference('eq_res', [status(thm)], [zip_derived_cl4702])).
% 4.48/1.23 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl4704, plain,
% 4.48/1.23 (![X0 : $i]:
% 4.48/1.23 (((inverse @ X0) != (identity))
% 4.48/1.23 | ((X0) != (identity))
% 4.48/1.23 | ((identity) != (identity)))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl4703, zip_derived_cl448])).
% 4.48/1.23 thf(zip_derived_cl4705, plain,
% 4.48/1.23 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4704])).
% 4.48/1.23 thf(zip_derived_cl4706, plain, (((inverse @ identity) != (identity))),
% 4.48/1.23 inference('eq_res', [status(thm)], [zip_derived_cl4705])).
% 4.48/1.23 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 4.48/1.23 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 4.48/1.23 thf(zip_derived_cl4707, plain, (((identity) != (identity))),
% 4.48/1.23 inference('demod', [status(thm)], [zip_derived_cl4706, zip_derived_cl448])).
% 4.48/1.23 thf(zip_derived_cl4708, plain, ($false),
% 4.48/1.23 inference('simplify', [status(thm)], [zip_derived_cl4707])).
% 4.48/1.23
% 4.48/1.23 % SZS output end Refutation
% 4.48/1.23
% 4.48/1.23
% 4.48/1.23 % Terminating...
% 5.21/1.32 % Runner terminated.
% 5.21/1.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------