%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP293-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xwV18eLkAt true
% Computer : n026.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 04:36:10 PM UTC 2025
% Result : Unsatisfiable 3.84s 1.36s
% Output : Refutation 3.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : GRP293-1 : TPTP v9.2.0. Released v2.5.0.
% 0.07/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xwV18eLkAt true
% 0.08/0.29 % Computer : n026.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Oct 1 14:05:53 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Running portfolio for 300 s
% 0.08/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Number of cores: 8
% 0.08/0.30 % Python version: Python 3.6.8
% 0.13/0.31 % Running in FO mode
% 0.40/0.57 % Total configuration time : 435
% 0.40/0.57 % Estimated wc time : 1092
% 0.40/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.40/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.41/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.84/1.36 % Solved by fo/fo7.sh.
% 3.84/1.36 % done 576 iterations in 0.513s
% 3.84/1.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.84/1.36 % SZS output start Refutation
% 3.84/1.36 thf(sk_c1_type, type, sk_c1: $i).
% 3.84/1.36 thf(sk_c6_type, type, sk_c6: $i).
% 3.84/1.36 thf(sk_c4_type, type, sk_c4: $i).
% 3.84/1.36 thf(sk_c5_type, type, sk_c5: $i).
% 3.84/1.36 thf(identity_type, type, identity: $i).
% 3.84/1.36 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.84/1.36 thf(sk_c7_type, type, sk_c7: $i).
% 3.84/1.36 thf(inverse_type, type, inverse: $i > $i).
% 3.84/1.36 thf(sk_c3_type, type, sk_c3: $i).
% 3.84/1.36 thf(sk_c2_type, type, sk_c2: $i).
% 3.84/1.36 thf(sk_c8_type, type, sk_c8: $i).
% 3.84/1.36 thf(prove_this_37, conjecture,
% 3.84/1.36 (~( ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 3.84/1.36 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 3.84/1.36 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c6 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 3.84/1.36 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 3.84/1.36 thf(zf_stmt_0, negated_conjecture,
% 3.84/1.36 (( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 3.84/1.36 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 3.84/1.36 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c6 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 3.84/1.36 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 3.84/1.36 thf(zip_derived_cl39, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((inverse @ X0) != (sk_c8))
% 3.84/1.36 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.84/1.36 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 3.84/1.36 | ((inverse @ X2) != (sk_c7))
% 3.84/1.36 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 3.84/1.36 | ((inverse @ X3) != (sk_c8))
% 3.84/1.36 | ((multiply @ X3 @ sk_c8) != (sk_c6))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c6) != (sk_c7))
% 3.84/1.36 | ((inverse @ X4) != (sk_c8))
% 3.84/1.36 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.84/1.36 thf(zip_derived_cl40, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((inverse @ X0) != (sk_c8))
% 3.84/1.36 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.84/1.36 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 3.84/1.36 | ((inverse @ X2) != (sk_c7))
% 3.84/1.36 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 3.84/1.36 | ((inverse @ X3) != (sk_c8))
% 3.84/1.36 | ((multiply @ X3 @ sk_c8) != (multiply @ sk_c8 @ sk_c7))
% 3.84/1.36 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 3.84/1.36 | ((inverse @ X4) != (sk_c8))
% 3.84/1.36 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 3.84/1.36 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 3.84/1.36 thf(prove_this_18, conjecture,
% 3.84/1.36 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.84/1.36 thf(zf_stmt_1, negated_conjecture,
% 3.84/1.36 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 3.84/1.36 thf(zip_derived_cl20, plain,
% 3.84/1.36 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.84/1.36 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl49, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 3.84/1.36 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(associativity, axiom,
% 3.84/1.36 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 3.84/1.36 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 3.84/1.36 thf(zip_derived_cl2, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.84/1.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.84/1.36 inference('cnf', [status(esa)], [associativity])).
% 3.84/1.36 thf(zip_derived_cl65, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((multiply @ identity @ X0)
% 3.84/1.36 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 3.84/1.36 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl127, plain,
% 3.84/1.36 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.84/1.36 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl99])).
% 3.84/1.36 thf(prove_this_12, conjecture,
% 3.84/1.36 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.84/1.36 thf(zf_stmt_2, negated_conjecture,
% 3.84/1.36 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 3.84/1.36 thf(zip_derived_cl14, plain,
% 3.84/1.36 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.84/1.36 thf(zip_derived_cl346, plain,
% 3.84/1.36 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.84/1.36 = (sk_c7))
% 3.84/1.36 | ((inverse @ sk_c4) = (sk_c8))
% 3.84/1.36 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl14])).
% 3.84/1.36 thf(zip_derived_cl2, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.84/1.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.84/1.36 inference('cnf', [status(esa)], [associativity])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl364, plain,
% 3.84/1.36 ((((identity) = (sk_c7))
% 3.84/1.36 | ((inverse @ sk_c4) = (sk_c8))
% 3.84/1.36 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl346, zip_derived_cl2, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl365, plain,
% 3.84/1.36 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl364])).
% 3.84/1.36 thf(prove_this_17, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.84/1.36 thf(zf_stmt_3, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 3.84/1.36 thf(zip_derived_cl19, plain,
% 3.84/1.36 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl55, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 3.84/1.36 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl130, plain,
% 3.84/1.36 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.84/1.36 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl99])).
% 3.84/1.36 thf(prove_this_11, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.84/1.36 thf(zf_stmt_4, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 3.84/1.36 thf(zip_derived_cl13, plain,
% 3.84/1.36 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 3.84/1.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.84/1.36 thf(zip_derived_cl842, plain,
% 3.84/1.36 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.84/1.36 = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 3.84/1.36 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl13])).
% 3.84/1.36 thf(zip_derived_cl2, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.84/1.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.84/1.36 inference('cnf', [status(esa)], [associativity])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl860, plain,
% 3.84/1.36 ((((identity) = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 3.84/1.36 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl842, zip_derived_cl2, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl861, plain,
% 3.84/1.36 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl860])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl866, plain,
% 3.84/1.36 ((((sk_c8) = (multiply @ (inverse @ sk_c4) @ sk_c5))
% 3.84/1.36 | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl861, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl884, plain,
% 3.84/1.36 ((((sk_c8) = (multiply @ sk_c8 @ sk_c5))
% 3.84/1.36 | ((identity) = (sk_c7))
% 3.84/1.36 | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl365, zip_derived_cl866])).
% 3.84/1.36 thf(zip_derived_cl891, plain,
% 3.84/1.36 ((((identity) = (sk_c7)) | ((sk_c8) = (multiply @ sk_c8 @ sk_c5)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl884])).
% 3.84/1.36 thf(prove_this_16, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.84/1.36 thf(zf_stmt_5, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 3.84/1.36 thf(zip_derived_cl18, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl54, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl129, plain,
% 3.84/1.36 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl99])).
% 3.84/1.36 thf(prove_this_10, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.84/1.36 thf(zf_stmt_6, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 3.84/1.36 thf(zip_derived_cl12, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.84/1.36 thf(zip_derived_cl715, plain,
% 3.84/1.36 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.84/1.36 = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl12])).
% 3.84/1.36 thf(zip_derived_cl2, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.84/1.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.84/1.36 inference('cnf', [status(esa)], [associativity])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl733, plain,
% 3.84/1.36 ((((identity) = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl715, zip_derived_cl2, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl734, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl733])).
% 3.84/1.36 thf(zip_derived_cl1015, plain,
% 3.84/1.36 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl891, zip_derived_cl734])).
% 3.84/1.36 thf(zip_derived_cl1024, plain,
% 3.84/1.36 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl1015])).
% 3.84/1.36 thf(zip_derived_cl1049, plain,
% 3.84/1.36 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('eq_fact', [status(thm)], [zip_derived_cl1024])).
% 3.84/1.36 thf(prove_this_15, conjecture,
% 3.84/1.36 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.84/1.36 thf(zf_stmt_7, negated_conjecture,
% 3.84/1.36 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 3.84/1.36 thf(zip_derived_cl17, plain,
% 3.84/1.36 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl48, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl126, plain,
% 3.84/1.36 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl99])).
% 3.84/1.36 thf(prove_this_9, conjecture,
% 3.84/1.36 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.84/1.36 thf(zf_stmt_8, negated_conjecture,
% 3.84/1.36 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 3.84/1.36 thf(zip_derived_cl11, plain,
% 3.84/1.36 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.84/1.36 thf(zip_derived_cl230, plain,
% 3.84/1.36 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.84/1.36 = (sk_c7))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl11])).
% 3.84/1.36 thf(zip_derived_cl2, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.84/1.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.84/1.36 inference('cnf', [status(esa)], [associativity])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl248, plain,
% 3.84/1.36 ((((identity) = (sk_c7))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl230, zip_derived_cl2, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl249, plain,
% 3.84/1.36 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 3.84/1.36 thf(prove_this_14, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.84/1.36 thf(zf_stmt_9, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 3.84/1.36 thf(zip_derived_cl16, plain,
% 3.84/1.36 ((((multiply @ sk_c3 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl53, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 3.84/1.36 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl128, plain,
% 3.84/1.36 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.84/1.36 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl99])).
% 3.84/1.36 thf(prove_this_8, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.84/1.36 thf(zf_stmt_10, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 3.84/1.36 thf(zip_derived_cl10, plain,
% 3.84/1.36 ((((multiply @ sk_c3 @ sk_c7) = (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.84/1.36 thf(zip_derived_cl584, plain,
% 3.84/1.36 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.84/1.36 = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl10])).
% 3.84/1.36 thf(zip_derived_cl2, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.84/1.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.84/1.36 inference('cnf', [status(esa)], [associativity])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl602, plain,
% 3.84/1.36 ((((identity) = (sk_c7))
% 3.84/1.36 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl584, zip_derived_cl2, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl603, plain,
% 3.84/1.36 ((((multiply @ sk_c3 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl602])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl622, plain,
% 3.84/1.36 ((((sk_c7) = (multiply @ (inverse @ sk_c3) @ sk_c8))
% 3.84/1.36 | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl603, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl705, plain,
% 3.84/1.36 ((((sk_c7) = (multiply @ sk_c7 @ sk_c8))
% 3.84/1.36 | ((identity) = (sk_c7))
% 3.84/1.36 | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl622])).
% 3.84/1.36 thf(zip_derived_cl710, plain,
% 3.84/1.36 ((((identity) = (sk_c7)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c8)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl705])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl766, plain,
% 3.84/1.36 ((((sk_c8) = (multiply @ (inverse @ sk_c7) @ sk_c7))
% 3.84/1.36 | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl710, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl776, plain,
% 3.84/1.36 ((((sk_c8) = (identity)) | ((identity) = (sk_c7)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl766, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1103, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((inverse @ X0) != (sk_c8))
% 3.84/1.36 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.84/1.36 | ((multiply @ sk_c8 @ X1) != (identity))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((multiply @ X2 @ identity) != (sk_c8))
% 3.84/1.36 | ((sk_c8) != (sk_c6))
% 3.84/1.36 | ((inverse @ X3) != (sk_c8))
% 3.84/1.36 | ((multiply @ X3 @ sk_c8) != (multiply @ sk_c8 @ identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ identity)) != (identity))
% 3.84/1.36 | ((inverse @ X4) != (sk_c8))
% 3.84/1.36 | ((multiply @ X4 @ sk_c8) != (identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ identity) != (sk_c6)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl40, zip_derived_cl1072, zip_derived_cl1072,
% 3.84/1.36 zip_derived_cl1072, zip_derived_cl1072, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1072, zip_derived_cl1072, zip_derived_cl1072,
% 3.84/1.36 zip_derived_cl1072, zip_derived_cl1072])).
% 3.84/1.36 thf(prove_this_13, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.84/1.36 thf(zf_stmt_11, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 3.84/1.36 thf(zip_derived_cl15, plain,
% 3.84/1.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1085, plain,
% 3.84/1.36 ((((sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl15, zip_derived_cl1072, zip_derived_cl0])).
% 3.84/1.36 thf(prove_this_7, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.84/1.36 thf(zf_stmt_12, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 3.84/1.36 thf(zip_derived_cl9, plain,
% 3.84/1.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 3.84/1.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_12])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1079, plain,
% 3.84/1.36 ((((sk_c8) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c8) = (identity)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl9, zip_derived_cl1072, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1072])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl1262, plain,
% 3.84/1.36 ((((sk_c8) = (multiply @ (inverse @ sk_c1) @ identity))
% 3.84/1.36 | ((sk_c8) = (sk_c6)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl1079, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl1490, plain,
% 3.84/1.36 ((((sk_c8) = (multiply @ sk_c8 @ identity))
% 3.84/1.36 | ((sk_c8) = (sk_c6))
% 3.84/1.36 | ((sk_c8) = (sk_c6)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl1085, zip_derived_cl1262])).
% 3.84/1.36 thf(zip_derived_cl1498, plain,
% 3.84/1.36 ((((sk_c8) = (sk_c6)) | ((sk_c8) = (multiply @ sk_c8 @ identity)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl1490])).
% 3.84/1.36 thf(prove_this_1, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 3.84/1.36 thf(zf_stmt_13, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 3.84/1.36 thf(zip_derived_cl3, plain,
% 3.84/1.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_13])).
% 3.84/1.36 thf(zip_derived_cl42, plain,
% 3.84/1.36 ((((multiply @ sk_c7 @ sk_c8) != (multiply @ sk_c8 @ sk_c7))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 3.84/1.36 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1104, plain,
% 3.84/1.36 ((((sk_c8) != (multiply @ sk_c8 @ identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ identity) = (sk_c6)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl42, zip_derived_cl1072, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1072, zip_derived_cl1072])).
% 3.84/1.36 thf(zip_derived_cl1105, plain,
% 3.84/1.36 ((((sk_c8) != (multiply @ sk_c8 @ identity)) | ((sk_c8) = (sk_c6)))),
% 3.84/1.36 inference('local_rewriting', [status(thm)], [zip_derived_cl1104])).
% 3.84/1.36 thf(zip_derived_cl1501, plain, (((sk_c8) = (sk_c6))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1498, zip_derived_cl1105])).
% 3.84/1.36 thf(zip_derived_cl1501, plain, (((sk_c8) = (sk_c6))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1498, zip_derived_cl1105])).
% 3.84/1.36 thf(zip_derived_cl1512, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((inverse @ X0) != (sk_c8))
% 3.84/1.36 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.84/1.36 | ((multiply @ sk_c8 @ X1) != (identity))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((multiply @ X2 @ identity) != (sk_c8))
% 3.84/1.36 | ((sk_c8) != (sk_c8))
% 3.84/1.36 | ((inverse @ X3) != (sk_c8))
% 3.84/1.36 | ((multiply @ X3 @ sk_c8) != (multiply @ sk_c8 @ identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ identity)) != (identity))
% 3.84/1.36 | ((inverse @ X4) != (sk_c8))
% 3.84/1.36 | ((multiply @ X4 @ sk_c8) != (identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ identity) != (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl1103, zip_derived_cl1501, zip_derived_cl1501])).
% 3.84/1.36 thf(zip_derived_cl1513, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((multiply @ sk_c8 @ identity) != (sk_c8))
% 3.84/1.36 | ((multiply @ X4 @ sk_c8) != (identity))
% 3.84/1.36 | ((inverse @ X4) != (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ identity)) != (identity))
% 3.84/1.36 | ((multiply @ X3 @ sk_c8) != (multiply @ sk_c8 @ identity))
% 3.84/1.36 | ((inverse @ X3) != (sk_c8))
% 3.84/1.36 | ((multiply @ X2 @ identity) != (sk_c8))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ X1) != (identity))
% 3.84/1.36 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.84/1.36 | ((inverse @ X0) != (sk_c8)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl1512])).
% 3.84/1.36 thf(zip_derived_cl1514, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((multiply @ sk_c8 @ identity) != (sk_c8))
% 3.84/1.36 | ((multiply @ X4 @ sk_c8) != (identity))
% 3.84/1.36 | ((inverse @ X4) != (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 3.84/1.36 | ((multiply @ X3 @ sk_c8) != (sk_c8))
% 3.84/1.36 | ((inverse @ X3) != (sk_c8))
% 3.84/1.36 | ((multiply @ X2 @ identity) != (sk_c8))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ X1) != (identity))
% 3.84/1.36 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.84/1.36 | ((inverse @ X0) != (sk_c8)))),
% 3.84/1.36 inference('local_rewriting', [status(thm)], [zip_derived_cl1513])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl118, plain,
% 3.84/1.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl115, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl1657, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 3.84/1.36 thf(zip_derived_cl1657, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 3.84/1.36 thf(zip_derived_cl1690, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((sk_c8) != (sk_c8))
% 3.84/1.36 | ((multiply @ X4 @ sk_c8) != (identity))
% 3.84/1.36 | ((inverse @ X4) != (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 3.84/1.36 | ((multiply @ X3 @ sk_c8) != (sk_c8))
% 3.84/1.36 | ((inverse @ X3) != (sk_c8))
% 3.84/1.36 | ((X2) != (sk_c8))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((multiply @ sk_c8 @ X1) != (identity))
% 3.84/1.36 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.84/1.36 | ((inverse @ X0) != (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl1514, zip_derived_cl1657, zip_derived_cl1657])).
% 3.84/1.36 thf(zip_derived_cl1691, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((inverse @ X0) != (sk_c8))
% 3.84/1.36 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.84/1.36 | ((multiply @ sk_c8 @ X1) != (identity))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((X2) != (sk_c8))
% 3.84/1.36 | ((inverse @ X3) != (sk_c8))
% 3.84/1.36 | ((multiply @ X3 @ sk_c8) != (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 3.84/1.36 | ((inverse @ X4) != (sk_c8))
% 3.84/1.36 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl1690])).
% 3.84/1.36 thf(prove_this_32, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 3.84/1.36 thf(zf_stmt_14, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 3.84/1.36 thf(zip_derived_cl34, plain,
% 3.84/1.36 ((((multiply @ sk_c3 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_14])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1100, plain,
% 3.84/1.36 ((((multiply @ sk_c3 @ identity) = (sk_c8))
% 3.84/1.36 | ((inverse @ sk_c2) = (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl1072])).
% 3.84/1.36 thf(zip_derived_cl1657, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 3.84/1.36 thf(zip_derived_cl1686, plain,
% 3.84/1.36 ((((sk_c3) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl1100, zip_derived_cl1657])).
% 3.84/1.36 thf(zip_derived_cl1657, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 3.84/1.36 thf(zip_derived_cl118, plain,
% 3.84/1.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl1697, plain,
% 3.84/1.36 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl1657, zip_derived_cl118])).
% 3.84/1.36 thf(zip_derived_cl1730, plain,
% 3.84/1.36 ((((sk_c2) = (inverse @ sk_c8)) | ((sk_c3) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl1686, zip_derived_cl1697])).
% 3.84/1.36 thf(prove_this_26, conjecture,
% 3.84/1.36 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 3.84/1.36 thf(zf_stmt_15, negated_conjecture,
% 3.84/1.36 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 3.84/1.36 thf(zip_derived_cl28, plain,
% 3.84/1.36 ((((multiply @ sk_c3 @ sk_c7) = (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c2 @ sk_c8) = (sk_c6)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_15])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl1096, plain,
% 3.84/1.36 ((((multiply @ sk_c3 @ identity) = (sk_c8))
% 3.84/1.36 | ((multiply @ sk_c2 @ sk_c8) = (sk_c6)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl1072])).
% 3.84/1.36 thf(zip_derived_cl1657, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 3.84/1.36 thf(zip_derived_cl1501, plain, (((sk_c8) = (sk_c6))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1498, zip_derived_cl1105])).
% 3.84/1.36 thf(zip_derived_cl2497, plain,
% 3.84/1.36 ((((sk_c3) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl1096, zip_derived_cl1657, zip_derived_cl1501])).
% 3.84/1.36 thf(zip_derived_cl2507, plain,
% 3.84/1.36 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 3.84/1.36 | ((sk_c3) = (sk_c8))
% 3.84/1.36 | ((sk_c3) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl1730, zip_derived_cl2497])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl2512, plain,
% 3.84/1.36 ((((identity) = (sk_c8)) | ((sk_c3) = (sk_c8)) | ((sk_c3) = (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl2507, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl2513, plain,
% 3.84/1.36 ((((sk_c3) = (sk_c8)) | ((identity) = (sk_c8)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2512])).
% 3.84/1.36 thf(prove_this_33, conjecture,
% 3.84/1.36 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 3.84/1.36 thf(zf_stmt_16, negated_conjecture,
% 3.84/1.36 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 3.84/1.36 thf(zip_derived_cl35, plain,
% 3.84/1.36 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_16])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl51, plain,
% 3.84/1.36 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl132, plain,
% 3.84/1.36 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl99])).
% 3.84/1.36 thf(prove_this_27, conjecture,
% 3.84/1.36 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 3.84/1.36 thf(zf_stmt_17, negated_conjecture,
% 3.84/1.36 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 3.84/1.36 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) )),
% 3.84/1.36 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 3.84/1.36 thf(zip_derived_cl29, plain,
% 3.84/1.36 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c6)))),
% 3.84/1.36 inference('cnf', [status(esa)], [zf_stmt_17])).
% 3.84/1.36 thf(zip_derived_cl257, plain,
% 3.84/1.36 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.84/1.36 = (sk_c6))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl29])).
% 3.84/1.36 thf(zip_derived_cl2, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.84/1.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.84/1.36 inference('cnf', [status(esa)], [associativity])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl275, plain,
% 3.84/1.36 ((((identity) = (sk_c6))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7))
% 3.84/1.36 | ((inverse @ sk_c3) = (sk_c7)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl257, zip_derived_cl2, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl276, plain,
% 3.84/1.36 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c6)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl275])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl282, plain,
% 3.84/1.36 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl1072, plain, (((identity) = (sk_c7))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1049, zip_derived_cl776])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl1134, plain,
% 3.84/1.36 ((((sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl282, zip_derived_cl1072, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl1501, plain, (((sk_c8) = (sk_c6))),
% 3.84/1.36 inference('clc', [status(thm)], [zip_derived_cl1498, zip_derived_cl1105])).
% 3.84/1.36 thf(zip_derived_cl1522, plain,
% 3.84/1.36 ((((sk_c3) = (identity)) | ((identity) = (sk_c8)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl1134, zip_derived_cl1501])).
% 3.84/1.36 thf(zip_derived_cl2518, plain,
% 3.84/1.36 ((((sk_c8) = (identity))
% 3.84/1.36 | ((identity) = (sk_c8))
% 3.84/1.36 | ((identity) = (sk_c8)))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl2513, zip_derived_cl1522])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl1657, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl1657, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl2528, plain, (((sk_c8) = (identity))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 3.84/1.36 thf(zip_derived_cl1657, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 3.84/1.36 thf(zip_derived_cl2571, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((inverse @ X0) != (identity))
% 3.84/1.36 | ((X0) != (X1))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((X2) != (identity))
% 3.84/1.36 | ((inverse @ X3) != (identity))
% 3.84/1.36 | ((X3) != (identity))
% 3.84/1.36 | ((identity) != (identity))
% 3.84/1.36 | ((inverse @ X4) != (identity))
% 3.84/1.36 | ((X4) != (identity)))),
% 3.84/1.36 inference('demod', [status(thm)],
% 3.84/1.36 [zip_derived_cl1691, zip_derived_cl2528, zip_derived_cl2528,
% 3.84/1.36 zip_derived_cl1657, zip_derived_cl2528, zip_derived_cl0,
% 3.84/1.36 zip_derived_cl2528, zip_derived_cl2528, zip_derived_cl2528,
% 3.84/1.36 zip_derived_cl1657, zip_derived_cl2528, zip_derived_cl2528,
% 3.84/1.36 zip_derived_cl2528, zip_derived_cl0, zip_derived_cl2528,
% 3.84/1.36 zip_derived_cl2528, zip_derived_cl1657])).
% 3.84/1.36 thf(zip_derived_cl2572, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.84/1.36 (((X4) != (identity))
% 3.84/1.36 | ((inverse @ X4) != (identity))
% 3.84/1.36 | ((X3) != (identity))
% 3.84/1.36 | ((inverse @ X3) != (identity))
% 3.84/1.36 | ((X2) != (identity))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((X0) != (X1))
% 3.84/1.36 | ((inverse @ X0) != (identity)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2571])).
% 3.84/1.36 thf(zip_derived_cl2593, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.84/1.36 (((inverse @ X0) != (identity))
% 3.84/1.36 | ((X0) != (identity))
% 3.84/1.36 | ((inverse @ X1) != (identity))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((X2) != (identity))
% 3.84/1.36 | ((inverse @ X3) != (identity))
% 3.84/1.36 | ((X3) != (identity)))),
% 3.84/1.36 inference('eq_res', [status(thm)], [zip_derived_cl2572])).
% 3.84/1.36 thf(zip_derived_cl2594, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 (((X0) != (identity))
% 3.84/1.36 | ((inverse @ X0) != (identity))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((inverse @ X1) != (identity))
% 3.84/1.36 | ((X2) != (identity))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((inverse @ identity) != (identity)))),
% 3.84/1.36 inference('eq_res', [status(thm)], [zip_derived_cl2593])).
% 3.84/1.36 thf(zip_derived_cl0, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_identity])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl117, plain,
% 3.84/1.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl99, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 3.84/1.36 thf(zip_derived_cl170, plain,
% 3.84/1.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl99])).
% 3.84/1.36 thf(zip_derived_cl1, plain,
% 3.84/1.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.84/1.36 inference('cnf', [status(esa)], [left_inverse])).
% 3.84/1.36 thf(zip_derived_cl679, plain, (((inverse @ identity) = (identity))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl2595, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 (((X0) != (identity))
% 3.84/1.36 | ((inverse @ X0) != (identity))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((inverse @ X1) != (identity))
% 3.84/1.36 | ((X2) != (identity))
% 3.84/1.36 | ((inverse @ X2) != (identity))
% 3.84/1.36 | ((identity) != (identity)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl2594, zip_derived_cl679])).
% 3.84/1.36 thf(zip_derived_cl2596, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.84/1.36 (((inverse @ X2) != (identity))
% 3.84/1.36 | ((X2) != (identity))
% 3.84/1.36 | ((inverse @ X1) != (identity))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((inverse @ X0) != (identity))
% 3.84/1.36 | ((X0) != (identity)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2595])).
% 3.84/1.36 thf(zip_derived_cl2597, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 (((X0) != (identity))
% 3.84/1.36 | ((inverse @ X0) != (identity))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((inverse @ X1) != (identity))
% 3.84/1.36 | ((inverse @ identity) != (identity)))),
% 3.84/1.36 inference('eq_res', [status(thm)], [zip_derived_cl2596])).
% 3.84/1.36 thf(zip_derived_cl679, plain, (((inverse @ identity) = (identity))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl2598, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 (((X0) != (identity))
% 3.84/1.36 | ((inverse @ X0) != (identity))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((inverse @ X1) != (identity))
% 3.84/1.36 | ((identity) != (identity)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl2597, zip_derived_cl679])).
% 3.84/1.36 thf(zip_derived_cl2599, plain,
% 3.84/1.36 (![X0 : $i, X1 : $i]:
% 3.84/1.36 (((inverse @ X1) != (identity))
% 3.84/1.36 | ((X1) != (identity))
% 3.84/1.36 | ((inverse @ X0) != (identity))
% 3.84/1.36 | ((X0) != (identity)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2598])).
% 3.84/1.36 thf(zip_derived_cl2600, plain,
% 3.84/1.36 (![X0 : $i]:
% 3.84/1.36 (((X0) != (identity))
% 3.84/1.36 | ((inverse @ X0) != (identity))
% 3.84/1.36 | ((inverse @ identity) != (identity)))),
% 3.84/1.36 inference('eq_res', [status(thm)], [zip_derived_cl2599])).
% 3.84/1.36 thf(zip_derived_cl679, plain, (((inverse @ identity) = (identity))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl2601, plain,
% 3.84/1.36 (![X0 : $i]:
% 3.84/1.36 (((X0) != (identity))
% 3.84/1.36 | ((inverse @ X0) != (identity))
% 3.84/1.36 | ((identity) != (identity)))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl2600, zip_derived_cl679])).
% 3.84/1.36 thf(zip_derived_cl2602, plain,
% 3.84/1.36 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2601])).
% 3.84/1.36 thf(zip_derived_cl2633, plain, (((inverse @ identity) != (identity))),
% 3.84/1.36 inference('eq_res', [status(thm)], [zip_derived_cl2602])).
% 3.84/1.36 thf(zip_derived_cl679, plain, (((inverse @ identity) = (identity))),
% 3.84/1.36 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 3.84/1.36 thf(zip_derived_cl2634, plain, (((identity) != (identity))),
% 3.84/1.36 inference('demod', [status(thm)], [zip_derived_cl2633, zip_derived_cl679])).
% 3.84/1.36 thf(zip_derived_cl2635, plain, ($false),
% 3.84/1.36 inference('simplify', [status(thm)], [zip_derived_cl2634])).
% 3.84/1.36
% 3.84/1.36 % SZS output end Refutation
% 3.84/1.36
% 3.84/1.36
% 3.84/1.36 % Terminating...
% 4.51/1.59 % Runner terminated.
% 4.51/1.63 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------