TSTP Solution File: GRP321-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP321-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2m4WdBU6fw true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:11 EDT 2023
% Result : Unsatisfiable 1.44s 0.89s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP321-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2m4WdBU6fw true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 20:28:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.44/0.89 % Solved by fo/fo7.sh.
% 1.44/0.89 % done 267 iterations in 0.106s
% 1.44/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.44/0.89 % SZS output start Refutation
% 1.44/0.89 thf(sk_c3_type, type, sk_c3: $i).
% 1.44/0.89 thf(sk_c6_type, type, sk_c6: $i).
% 1.44/0.89 thf(sk_c1_type, type, sk_c1: $i).
% 1.44/0.89 thf(sk_c5_type, type, sk_c5: $i).
% 1.44/0.89 thf(identity_type, type, identity: $i).
% 1.44/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.44/0.89 thf(sk_c8_type, type, sk_c8: $i).
% 1.44/0.89 thf(inverse_type, type, inverse: $i > $i).
% 1.44/0.89 thf(sk_c4_type, type, sk_c4: $i).
% 1.44/0.89 thf(sk_c2_type, type, sk_c2: $i).
% 1.44/0.89 thf(sk_c7_type, type, sk_c7: $i).
% 1.44/0.89 thf(prove_this_31, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.44/0.89 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.44/0.89 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) ))).
% 1.44/0.89 thf(zf_stmt_0, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.44/0.89 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.44/0.89 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.44/0.89 thf(zip_derived_cl33, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.44/0.89 (((multiply @ sk_c6 @ sk_c7) != (sk_c8))
% 1.44/0.89 | ((inverse @ X0) != (sk_c7))
% 1.44/0.89 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.44/0.89 | ((inverse @ X1) != (sk_c8))
% 1.44/0.89 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 1.44/0.89 | ((inverse @ X2) != (sk_c8))
% 1.44/0.89 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.44/0.89 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.44/0.89 | ((inverse @ X4) != (sk_c7))
% 1.44/0.89 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.44/0.89 thf(zip_derived_cl34, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.44/0.89 (((multiply @ (multiply @ sk_c7 @ sk_c8) @ sk_c7) != (sk_c8))
% 1.44/0.89 | ((inverse @ X0) != (sk_c7))
% 1.44/0.89 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 1.44/0.89 | ((inverse @ X1) != (sk_c8))
% 1.44/0.89 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 1.44/0.89 | ((inverse @ X2) != (sk_c8))
% 1.44/0.89 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.44/0.89 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.44/0.89 | ((inverse @ X4) != (sk_c7))
% 1.44/0.89 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.44/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.44/0.89 thf(associativity, axiom,
% 1.44/0.89 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.44/0.89 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.44/0.89 thf(zip_derived_cl2, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.44/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.44/0.89 inference('cnf', [status(esa)], [associativity])).
% 1.44/0.89 thf(zip_derived_cl47, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.44/0.89 (((multiply @ sk_c7 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c8))
% 1.44/0.89 | ((inverse @ X0) != (sk_c7))
% 1.44/0.89 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 1.44/0.89 | ((inverse @ X1) != (sk_c8))
% 1.44/0.89 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 1.44/0.89 | ((inverse @ X2) != (sk_c8))
% 1.44/0.89 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.44/0.89 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.44/0.89 | ((inverse @ X4) != (sk_c7))
% 1.44/0.89 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 1.44/0.89 thf(prove_this_14, conjecture,
% 1.44/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.44/0.89 thf(zf_stmt_1, negated_conjecture,
% 1.44/0.89 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.44/0.89 thf(zip_derived_cl16, plain,
% 1.44/0.89 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.44/0.89 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl38, plain,
% 1.44/0.89 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.44/0.89 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl2, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.44/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.44/0.89 inference('cnf', [status(esa)], [associativity])).
% 1.44/0.89 thf(zip_derived_cl51, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((multiply @ identity @ X0)
% 1.44/0.89 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.44/0.89 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl84, plain,
% 1.44/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.44/0.89 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl68])).
% 1.44/0.89 thf(prove_this_9, conjecture,
% 1.44/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.44/0.89 thf(zf_stmt_2, negated_conjecture,
% 1.44/0.89 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.44/0.89 thf(zip_derived_cl11, plain,
% 1.44/0.89 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.44/0.89 thf(zip_derived_cl176, plain,
% 1.44/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.44/0.89 = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c5) = (sk_c7))
% 1.44/0.89 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl11])).
% 1.44/0.89 thf(zip_derived_cl2, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.44/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.44/0.89 inference('cnf', [status(esa)], [associativity])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl186, plain,
% 1.44/0.89 ((((identity) = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c5) = (sk_c7))
% 1.44/0.89 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl176, zip_derived_cl2, zip_derived_cl0,
% 1.44/0.89 zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl187, plain,
% 1.44/0.89 ((((inverse @ sk_c5) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl186])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl190, plain,
% 1.44/0.89 ((((multiply @ sk_c7 @ sk_c5) = (identity)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl187, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl244, plain,
% 1.44/0.89 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.44/0.89 | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl80, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl77, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl680, plain,
% 1.44/0.89 ((((sk_c5) = (inverse @ sk_c7)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl244, zip_derived_cl646])).
% 1.44/0.89 thf(prove_this_13, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.44/0.89 thf(zf_stmt_3, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.44/0.89 thf(zip_derived_cl15, plain,
% 1.44/0.89 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl80, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl696, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl646, zip_derived_cl80])).
% 1.44/0.89 thf(zip_derived_cl717, plain,
% 1.44/0.89 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl696])).
% 1.44/0.89 thf(prove_this_8, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.44/0.89 thf(zf_stmt_4, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.44/0.89 thf(zip_derived_cl10, plain,
% 1.44/0.89 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 1.44/0.89 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.44/0.89 thf(zip_derived_cl1095, plain,
% 1.44/0.89 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 1.44/0.89 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl717, zip_derived_cl10])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl1111, plain,
% 1.44/0.89 ((((identity) = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 1.44/0.89 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl1095, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl1112, plain,
% 1.44/0.89 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1111])).
% 1.44/0.89 thf(zip_derived_cl1346, plain,
% 1.44/0.89 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.44/0.89 | ((identity) = (sk_c8))
% 1.44/0.89 | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl680, zip_derived_cl1112])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl1349, plain,
% 1.44/0.89 ((((identity) = (sk_c6))
% 1.44/0.89 | ((identity) = (sk_c8))
% 1.44/0.89 | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl1346, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl1350, plain,
% 1.44/0.89 ((((identity) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1349])).
% 1.44/0.89 thf(prove_this_15, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.44/0.89 thf(zf_stmt_5, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.44/0.89 thf(zip_derived_cl17, plain,
% 1.44/0.89 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.44/0.89 thf(zip_derived_cl696, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl646, zip_derived_cl80])).
% 1.44/0.89 thf(zip_derived_cl719, plain,
% 1.44/0.89 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl696])).
% 1.44/0.89 thf(prove_this_10, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.44/0.89 thf(zf_stmt_6, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.44/0.89 thf(zip_derived_cl12, plain,
% 1.44/0.89 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.44/0.89 thf(zip_derived_cl1132, plain,
% 1.44/0.89 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl719, zip_derived_cl12])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl1148, plain,
% 1.44/0.89 ((((identity) = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl1132, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl1149, plain,
% 1.44/0.89 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1148])).
% 1.44/0.89 thf(zip_derived_cl1497, plain,
% 1.44/0.89 ((((multiply @ identity @ sk_c7) = (sk_c8))
% 1.44/0.89 | ((identity) = (sk_c8))
% 1.44/0.89 | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl1350, zip_derived_cl1149])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1499, plain,
% 1.44/0.89 ((((sk_c7) = (sk_c8)) | ((identity) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl1497, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl1500, plain,
% 1.44/0.89 ((((identity) = (sk_c8)) | ((sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1499])).
% 1.44/0.89 thf(zip_derived_cl1528, plain,
% 1.44/0.89 ((((sk_c7) != (identity)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl1500])).
% 1.44/0.89 thf(prove_this_12, conjecture,
% 1.44/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.44/0.89 thf(zf_stmt_7, negated_conjecture,
% 1.44/0.89 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.44/0.89 thf(zip_derived_cl14, plain,
% 1.44/0.89 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl37, plain,
% 1.44/0.89 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl83, plain,
% 1.44/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl68])).
% 1.44/0.89 thf(prove_this_7, conjecture,
% 1.44/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.44/0.89 thf(zf_stmt_8, negated_conjecture,
% 1.44/0.89 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.44/0.89 thf(zip_derived_cl9, plain,
% 1.44/0.89 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.44/0.89 thf(zip_derived_cl123, plain,
% 1.44/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.44/0.89 = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl9])).
% 1.44/0.89 thf(zip_derived_cl2, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.44/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.44/0.89 inference('cnf', [status(esa)], [associativity])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl132, plain,
% 1.44/0.89 ((((identity) = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl123, zip_derived_cl2, zip_derived_cl0,
% 1.44/0.89 zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl133, plain,
% 1.44/0.89 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl132])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl137, plain,
% 1.44/0.89 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl140, plain,
% 1.44/0.89 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.44/0.89 | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl677, plain,
% 1.44/0.89 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl646])).
% 1.44/0.89 thf(prove_this_11, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.44/0.89 thf(zf_stmt_9, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.44/0.89 thf(zip_derived_cl13, plain,
% 1.44/0.89 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.44/0.89 thf(zip_derived_cl80, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl377, plain,
% 1.44/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl80])).
% 1.44/0.89 thf(prove_this_6, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.44/0.89 thf(zf_stmt_10, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.44/0.89 thf(zip_derived_cl8, plain,
% 1.44/0.89 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.44/0.89 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.44/0.89 thf(zip_derived_cl601, plain,
% 1.44/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.44/0.89 = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl377, zip_derived_cl8])).
% 1.44/0.89 thf(zip_derived_cl2, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.44/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.44/0.89 inference('cnf', [status(esa)], [associativity])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl617, plain,
% 1.44/0.89 ((((identity) = (sk_c8))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl601, zip_derived_cl2, zip_derived_cl0,
% 1.44/0.89 zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl618, plain,
% 1.44/0.89 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl617])).
% 1.44/0.89 thf(zip_derived_cl732, plain,
% 1.44/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.44/0.89 | ((identity) = (sk_c8))
% 1.44/0.89 | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl677, zip_derived_cl618])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl737, plain,
% 1.44/0.89 ((((identity) = (sk_c7))
% 1.44/0.89 | ((identity) = (sk_c8))
% 1.44/0.89 | ((identity) = (sk_c8)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl732, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl738, plain,
% 1.44/0.89 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl737])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl1572, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.44/0.89 (((multiply @ sk_c7 @ sk_c7) != (identity))
% 1.44/0.89 | ((inverse @ X0) != (sk_c7))
% 1.44/0.89 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 1.44/0.89 | ((inverse @ X1) != (identity))
% 1.44/0.89 | ((X1) != (sk_c7))
% 1.44/0.89 | ((inverse @ X2) != (identity))
% 1.44/0.89 | ((X2) != (X3))
% 1.44/0.89 | ((X3) != (sk_c7))
% 1.44/0.89 | ((inverse @ X4) != (sk_c7))
% 1.44/0.89 | ((multiply @ X4 @ sk_c7) != (identity))
% 1.44/0.89 | ((sk_c7) != (sk_c6)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl47, zip_derived_cl1533, zip_derived_cl0,
% 1.44/0.89 zip_derived_cl1533, zip_derived_cl1533, zip_derived_cl646,
% 1.44/0.89 zip_derived_cl1533, zip_derived_cl1533, zip_derived_cl646,
% 1.44/0.89 zip_derived_cl1533, zip_derived_cl1533, zip_derived_cl646,
% 1.44/0.89 zip_derived_cl1533, zip_derived_cl0, zip_derived_cl1533,
% 1.44/0.89 zip_derived_cl1533, zip_derived_cl646])).
% 1.44/0.89 thf(zip_derived_cl1638, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.89 (((sk_c7) != (sk_c6))
% 1.44/0.89 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.44/0.89 | ((inverse @ X0) != (sk_c7))
% 1.44/0.89 | ((X1) != (sk_c7))
% 1.44/0.89 | ((inverse @ X1) != (identity))
% 1.44/0.89 | ((X2) != (sk_c7))
% 1.44/0.89 | ((inverse @ X2) != (identity))
% 1.44/0.89 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 1.44/0.89 | ((inverse @ X3) != (sk_c7))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c7) != (identity)))),
% 1.44/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1572])).
% 1.44/0.89 thf(prove_this_26, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.44/0.89 thf(zf_stmt_11, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.44/0.89 thf(zip_derived_cl28, plain,
% 1.44/0.89 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.44/0.89 thf(zip_derived_cl696, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl646, zip_derived_cl80])).
% 1.44/0.89 thf(zip_derived_cl720, plain,
% 1.44/0.89 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl696])).
% 1.44/0.89 thf(prove_this_21, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.44/0.89 thf(zf_stmt_12, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.44/0.89 thf(zip_derived_cl23, plain,
% 1.44/0.89 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.44/0.89 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.44/0.89 thf(zip_derived_cl1163, plain,
% 1.44/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c3))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl720, zip_derived_cl23])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl1180, plain,
% 1.44/0.89 ((((identity) = (sk_c3))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.44/0.89 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl1163, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl1181, plain,
% 1.44/0.89 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1180])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl1611, plain,
% 1.44/0.89 ((((sk_c4) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl1181, zip_derived_cl1533, zip_derived_cl646])).
% 1.44/0.89 thf(prove_this_16, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.44/0.89 thf(zf_stmt_13, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.44/0.89 thf(zip_derived_cl18, plain,
% 1.44/0.89 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.44/0.89 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1547, plain, ((((sk_c4) = (sk_c7)) | ((sk_c3) = (sk_c7)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl18, zip_derived_cl1533, zip_derived_cl646,
% 1.44/0.89 zip_derived_cl1533, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl1649, plain,
% 1.44/0.89 ((((identity) = (sk_c7)) | ((sk_c4) = (sk_c7)) | ((sk_c4) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl1611, zip_derived_cl1547])).
% 1.44/0.89 thf(zip_derived_cl1651, plain,
% 1.44/0.89 ((((sk_c4) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1649])).
% 1.44/0.89 thf(prove_this_27, conjecture,
% 1.44/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.44/0.89 thf(zf_stmt_14, negated_conjecture,
% 1.44/0.89 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.44/0.89 thf(zip_derived_cl29, plain,
% 1.44/0.89 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl39, plain,
% 1.44/0.89 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl88, plain,
% 1.44/0.89 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl68])).
% 1.44/0.89 thf(prove_this_22, conjecture,
% 1.44/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.44/0.89 thf(zf_stmt_15, negated_conjecture,
% 1.44/0.89 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.44/0.89 thf(zip_derived_cl24, plain,
% 1.44/0.89 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.44/0.89 thf(zip_derived_cl219, plain,
% 1.44/0.89 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.44/0.89 = (sk_c3))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl24])).
% 1.44/0.89 thf(zip_derived_cl2, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.44/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.44/0.89 inference('cnf', [status(esa)], [associativity])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl228, plain,
% 1.44/0.89 ((((identity) = (sk_c3))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl219, zip_derived_cl2, zip_derived_cl0,
% 1.44/0.89 zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl229, plain,
% 1.44/0.89 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c3)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl228])).
% 1.44/0.89 thf(prove_this_17, conjecture,
% 1.44/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.44/0.89 thf(zf_stmt_16, negated_conjecture,
% 1.44/0.89 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.44/0.89 thf(zip_derived_cl19, plain,
% 1.44/0.89 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl86, plain,
% 1.44/0.89 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl235, plain,
% 1.44/0.89 ((((identity) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8))
% 1.44/0.89 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl86])).
% 1.44/0.89 thf(zip_derived_cl238, plain,
% 1.44/0.89 ((((inverse @ sk_c4) = (sk_c8))
% 1.44/0.89 | ((identity) = (multiply @ (inverse @ sk_c8) @ sk_c7)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl235])).
% 1.44/0.89 thf(zip_derived_cl696, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl646, zip_derived_cl80])).
% 1.44/0.89 thf(zip_derived_cl709, plain,
% 1.44/0.89 ((((sk_c4) = (inverse @ sk_c8))
% 1.44/0.89 | ((identity) = (multiply @ (inverse @ sk_c8) @ sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl696])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl79, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl111, plain,
% 1.44/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl68])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl520, plain, (((inverse @ identity) = (identity))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.89 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.89 thf(zip_derived_cl520, plain, (((inverse @ identity) = (identity))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1599, plain,
% 1.44/0.89 ((((sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl709, zip_derived_cl1533, zip_derived_cl520,
% 1.44/0.89 zip_derived_cl1533, zip_derived_cl520, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl1654, plain,
% 1.44/0.89 ((((sk_c7) = (identity))
% 1.44/0.89 | ((identity) = (sk_c7))
% 1.44/0.89 | ((identity) = (sk_c7)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl1651, zip_derived_cl1599])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl646, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1680, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.89 (((identity) != (sk_c6))
% 1.44/0.89 | ((X0) != (identity))
% 1.44/0.89 | ((inverse @ X0) != (identity))
% 1.44/0.89 | ((X1) != (identity))
% 1.44/0.89 | ((inverse @ X1) != (identity))
% 1.44/0.89 | ((X2) != (identity))
% 1.44/0.89 | ((inverse @ X2) != (identity))
% 1.44/0.89 | ((X3) != (identity))
% 1.44/0.89 | ((inverse @ X3) != (identity))
% 1.44/0.89 | ((identity) != (identity)))),
% 1.44/0.89 inference('demod', [status(thm)],
% 1.44/0.89 [zip_derived_cl1638, zip_derived_cl1656, zip_derived_cl1656,
% 1.44/0.89 zip_derived_cl646, zip_derived_cl1656, zip_derived_cl1656,
% 1.44/0.89 zip_derived_cl1656, zip_derived_cl1656, zip_derived_cl646,
% 1.44/0.89 zip_derived_cl1656, zip_derived_cl1656, zip_derived_cl1656,
% 1.44/0.89 zip_derived_cl1656, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl1681, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.89 (((inverse @ X3) != (identity))
% 1.44/0.89 | ((X3) != (identity))
% 1.44/0.89 | ((inverse @ X2) != (identity))
% 1.44/0.89 | ((X2) != (identity))
% 1.44/0.89 | ((inverse @ X1) != (identity))
% 1.44/0.89 | ((X1) != (identity))
% 1.44/0.89 | ((inverse @ X0) != (identity))
% 1.44/0.89 | ((X0) != (identity))
% 1.44/0.89 | ((identity) != (sk_c6)))),
% 1.44/0.89 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 1.44/0.89 thf(prove_this_4, conjecture,
% 1.44/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.44/0.89 thf(zf_stmt_17, negated_conjecture,
% 1.44/0.89 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.44/0.89 thf(zip_derived_cl6, plain,
% 1.44/0.89 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.89 thf(zip_derived_cl36, plain,
% 1.44/0.89 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.44/0.89 thf(zip_derived_cl68, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i]:
% 1.44/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.44/0.89 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 1.44/0.89 thf(zip_derived_cl82, plain,
% 1.44/0.89 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl68])).
% 1.44/0.89 thf(prove_this_3, conjecture,
% 1.44/0.89 (~( ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.44/0.89 thf(zf_stmt_18, negated_conjecture,
% 1.44/0.89 (( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.44/0.89 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.44/0.89 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.44/0.89 thf(zip_derived_cl5, plain,
% 1.44/0.89 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.44/0.89 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.44/0.89 thf(zip_derived_cl113, plain,
% 1.44/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.44/0.89 = (sk_c6))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.44/0.89 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.44/0.89 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl5])).
% 1.44/0.89 thf(zip_derived_cl2, plain,
% 1.44/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.44/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.44/0.89 inference('cnf', [status(esa)], [associativity])).
% 1.44/0.89 thf(zip_derived_cl0, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.44/0.89 thf(zip_derived_cl1, plain,
% 1.44/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.44/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.44/0.90 thf(zip_derived_cl116, plain,
% 1.44/0.90 ((((identity) = (sk_c6))
% 1.44/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.44/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.44/0.90 inference('demod', [status(thm)],
% 1.44/0.90 [zip_derived_cl113, zip_derived_cl2, zip_derived_cl0,
% 1.44/0.90 zip_derived_cl1])).
% 1.44/0.90 thf(zip_derived_cl117, plain,
% 1.44/0.90 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.44/0.90 inference('simplify', [status(thm)], [zip_derived_cl116])).
% 1.44/0.90 thf(zip_derived_cl1533, plain, (((identity) = (sk_c8))),
% 1.44/0.90 inference('clc', [status(thm)], [zip_derived_cl1528, zip_derived_cl738])).
% 1.44/0.90 thf(zip_derived_cl646, plain,
% 1.44/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.44/0.90 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.44/0.90 thf(zip_derived_cl1577, plain,
% 1.44/0.90 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.44/0.90 inference('demod', [status(thm)],
% 1.44/0.90 [zip_derived_cl117, zip_derived_cl1533, zip_derived_cl646])).
% 1.44/0.90 thf(zip_derived_cl1656, plain, (((sk_c7) = (identity))),
% 1.44/0.90 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 1.44/0.90 thf(zip_derived_cl1675, plain,
% 1.44/0.90 ((((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.44/0.90 inference('demod', [status(thm)],
% 1.44/0.90 [zip_derived_cl1577, zip_derived_cl1656])).
% 1.44/0.90 thf(zip_derived_cl1676, plain, (((identity) = (sk_c6))),
% 1.44/0.90 inference('simplify', [status(thm)], [zip_derived_cl1675])).
% 1.44/0.90 thf(zip_derived_cl1700, plain,
% 1.44/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.90 (((inverse @ X3) != (identity))
% 1.44/0.90 | ((X3) != (identity))
% 1.44/0.90 | ((inverse @ X2) != (identity))
% 1.44/0.90 | ((X2) != (identity))
% 1.44/0.90 | ((inverse @ X1) != (identity))
% 1.44/0.90 | ((X1) != (identity))
% 1.44/0.90 | ((inverse @ X0) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((identity) != (identity)))),
% 1.44/0.90 inference('demod', [status(thm)],
% 1.44/0.90 [zip_derived_cl1681, zip_derived_cl1676])).
% 1.44/0.90 thf(zip_derived_cl1701, plain,
% 1.44/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.90 (((X0) != (identity))
% 1.44/0.90 | ((inverse @ X0) != (identity))
% 1.44/0.90 | ((X1) != (identity))
% 1.44/0.90 | ((inverse @ X1) != (identity))
% 1.44/0.90 | ((X2) != (identity))
% 1.44/0.90 | ((inverse @ X2) != (identity))
% 1.44/0.90 | ((X3) != (identity))
% 1.44/0.90 | ((inverse @ X3) != (identity)))),
% 1.44/0.90 inference('simplify', [status(thm)], [zip_derived_cl1700])).
% 1.44/0.90 thf(zip_derived_cl1702, plain,
% 1.44/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.90 (((inverse @ X0) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((inverse @ X1) != (identity))
% 1.44/0.90 | ((X1) != (identity))
% 1.44/0.90 | ((inverse @ X2) != (identity))
% 1.44/0.90 | ((X2) != (identity))
% 1.44/0.90 | ((inverse @ identity) != (identity)))),
% 1.44/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1701])).
% 1.44/0.90 thf(zip_derived_cl520, plain, (((inverse @ identity) = (identity))),
% 1.44/0.90 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 1.44/0.90 thf(zip_derived_cl1703, plain,
% 1.44/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.90 (((inverse @ X0) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((inverse @ X1) != (identity))
% 1.44/0.90 | ((X1) != (identity))
% 1.44/0.90 | ((inverse @ X2) != (identity))
% 1.44/0.90 | ((X2) != (identity))
% 1.44/0.90 | ((identity) != (identity)))),
% 1.44/0.90 inference('demod', [status(thm)], [zip_derived_cl1702, zip_derived_cl520])).
% 1.44/0.90 thf(zip_derived_cl1704, plain,
% 1.44/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.90 (((X2) != (identity))
% 1.44/0.90 | ((inverse @ X2) != (identity))
% 1.44/0.90 | ((X1) != (identity))
% 1.44/0.90 | ((inverse @ X1) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((inverse @ X0) != (identity)))),
% 1.44/0.90 inference('simplify', [status(thm)], [zip_derived_cl1703])).
% 1.44/0.90 thf(zip_derived_cl1705, plain,
% 1.44/0.90 (![X0 : $i, X1 : $i]:
% 1.44/0.90 (((inverse @ X0) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((inverse @ X1) != (identity))
% 1.44/0.90 | ((X1) != (identity))
% 1.44/0.90 | ((inverse @ identity) != (identity)))),
% 1.44/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1704])).
% 1.44/0.90 thf(zip_derived_cl520, plain, (((inverse @ identity) = (identity))),
% 1.44/0.90 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 1.44/0.90 thf(zip_derived_cl1706, plain,
% 1.44/0.90 (![X0 : $i, X1 : $i]:
% 1.44/0.90 (((inverse @ X0) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((inverse @ X1) != (identity))
% 1.44/0.90 | ((X1) != (identity))
% 1.44/0.90 | ((identity) != (identity)))),
% 1.44/0.90 inference('demod', [status(thm)], [zip_derived_cl1705, zip_derived_cl520])).
% 1.44/0.90 thf(zip_derived_cl1707, plain,
% 1.44/0.90 (![X0 : $i, X1 : $i]:
% 1.44/0.90 (((X1) != (identity))
% 1.44/0.90 | ((inverse @ X1) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((inverse @ X0) != (identity)))),
% 1.44/0.90 inference('simplify', [status(thm)], [zip_derived_cl1706])).
% 1.44/0.90 thf(zip_derived_cl1708, plain,
% 1.44/0.90 (![X0 : $i]:
% 1.44/0.90 (((inverse @ X0) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((inverse @ identity) != (identity)))),
% 1.44/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1707])).
% 1.44/0.90 thf(zip_derived_cl520, plain, (((inverse @ identity) = (identity))),
% 1.44/0.90 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 1.44/0.90 thf(zip_derived_cl1709, plain,
% 1.44/0.90 (![X0 : $i]:
% 1.44/0.90 (((inverse @ X0) != (identity))
% 1.44/0.90 | ((X0) != (identity))
% 1.44/0.90 | ((identity) != (identity)))),
% 1.44/0.90 inference('demod', [status(thm)], [zip_derived_cl1708, zip_derived_cl520])).
% 1.44/0.90 thf(zip_derived_cl1710, plain,
% 1.44/0.90 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.44/0.90 inference('simplify', [status(thm)], [zip_derived_cl1709])).
% 1.44/0.90 thf(zip_derived_cl1711, plain, (((inverse @ identity) != (identity))),
% 1.44/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1710])).
% 1.44/0.90 thf(zip_derived_cl520, plain, (((inverse @ identity) = (identity))),
% 1.44/0.90 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 1.44/0.90 thf(zip_derived_cl1712, plain, (((identity) != (identity))),
% 1.44/0.90 inference('demod', [status(thm)], [zip_derived_cl1711, zip_derived_cl520])).
% 1.44/0.90 thf(zip_derived_cl1713, plain, ($false),
% 1.44/0.90 inference('simplify', [status(thm)], [zip_derived_cl1712])).
% 1.44/0.90
% 1.44/0.90 % SZS output end Refutation
% 1.44/0.90
% 1.44/0.90
% 1.44/0.90 % Terminating...
% 1.46/0.96 % Runner terminated.
% 1.46/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------