TSTP Solution File: GRP320-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP320-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xq7obiloAr true
% Computer : n016.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 0.56s 1.00s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : GRP320-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xq7obiloAr true
% 0.13/0.37 % Computer : n016.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Aug 28 23:31:45 EDT 2023
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % Running portfolio for 300 s
% 0.13/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Number of cores: 8
% 0.13/0.38 % Python version: Python 3.6.8
% 0.13/0.38 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.00 % Solved by fo/fo7.sh.
% 0.56/1.00 % done 291 iterations in 0.174s
% 0.56/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/1.00 % SZS output start Refutation
% 0.56/1.00 thf(sk_c3_type, type, sk_c3: $i).
% 0.56/1.00 thf(sk_c6_type, type, sk_c6: $i).
% 0.56/1.00 thf(sk_c1_type, type, sk_c1: $i).
% 0.56/1.00 thf(sk_c5_type, type, sk_c5: $i).
% 0.56/1.00 thf(identity_type, type, identity: $i).
% 0.56/1.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/1.00 thf(sk_c8_type, type, sk_c8: $i).
% 0.56/1.00 thf(inverse_type, type, inverse: $i > $i).
% 0.56/1.00 thf(sk_c4_type, type, sk_c4: $i).
% 0.56/1.00 thf(sk_c2_type, type, sk_c2: $i).
% 0.56/1.00 thf(sk_c7_type, type, sk_c7: $i).
% 0.56/1.00 thf(prove_this_31, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_0, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.56/1.00 thf(zip_derived_cl33, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.00 (((multiply @ sk_c6 @ sk_c8) != (sk_c7))
% 0.56/1.00 | ((inverse @ X0) != (sk_c7))
% 0.56/1.00 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.56/1.00 | ((inverse @ X1) != (sk_c8))
% 0.56/1.00 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 0.56/1.00 | ((inverse @ X2) != (sk_c8))
% 0.56/1.00 | ((multiply @ X2 @ sk_c8) != (X3))
% 0.56/1.00 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 0.56/1.00 | ((inverse @ X4) != (sk_c7))
% 0.56/1.00 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/1.00 thf(zip_derived_cl34, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.00 (((multiply @ (multiply @ sk_c7 @ sk_c8) @ sk_c8) != (sk_c7))
% 0.56/1.00 | ((inverse @ X0) != (sk_c7))
% 0.56/1.00 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 0.56/1.00 | ((inverse @ X1) != (sk_c8))
% 0.56/1.00 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 0.56/1.00 | ((inverse @ X2) != (sk_c8))
% 0.56/1.00 | ((multiply @ X2 @ sk_c8) != (X3))
% 0.56/1.00 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 0.56/1.00 | ((inverse @ X4) != (sk_c7))
% 0.56/1.00 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 0.56/1.00 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.56/1.00 thf(associativity, axiom,
% 0.56/1.00 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/1.00 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl47, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.00 (((multiply @ sk_c7 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c7))
% 0.56/1.00 | ((inverse @ X0) != (sk_c7))
% 0.56/1.00 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 0.56/1.00 | ((inverse @ X1) != (sk_c8))
% 0.56/1.00 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 0.56/1.00 | ((inverse @ X2) != (sk_c8))
% 0.56/1.00 | ((multiply @ X2 @ sk_c8) != (X3))
% 0.56/1.00 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 0.56/1.00 | ((inverse @ X4) != (sk_c7))
% 0.56/1.00 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 0.56/1.00 thf(prove_this_27, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.56/1.00 thf(zf_stmt_1, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.56/1.00 thf(zip_derived_cl29, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/1.00 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl39, plain,
% 0.56/1.00 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl51, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((multiply @ identity @ X0)
% 0.56/1.00 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/1.00 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl88, plain,
% 0.56/1.00 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl68])).
% 0.56/1.00 thf(prove_this_22, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 0.56/1.00 thf(zf_stmt_2, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.56/1.00 thf(zip_derived_cl24, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/1.00 thf(zip_derived_cl219, plain,
% 0.56/1.00 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.56/1.00 = (sk_c3))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl24])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl228, plain,
% 0.56/1.00 ((((identity) = (sk_c3))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl219, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl229, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c3)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl228])).
% 0.56/1.00 thf(prove_this_17, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_3, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.56/1.00 thf(zip_derived_cl19, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/1.00 thf(zip_derived_cl233, plain,
% 0.56/1.00 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl19])).
% 0.56/1.00 thf(zip_derived_cl237, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8))
% 0.56/1.00 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl233])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl80, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl77, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl68])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl682, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl649])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl80, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 0.56/1.00 thf(zip_derived_cl699, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl649, zip_derived_cl80])).
% 0.56/1.00 thf(zip_derived_cl768, plain,
% 0.56/1.00 ((((sk_c4) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl682, zip_derived_cl699])).
% 0.56/1.00 thf(prove_this_26, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.56/1.00 thf(zf_stmt_4, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.56/1.00 thf(zip_derived_cl28, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/1.00 thf(zip_derived_cl699, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl649, zip_derived_cl80])).
% 0.56/1.00 thf(zip_derived_cl723, plain,
% 0.56/1.00 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl699])).
% 0.56/1.00 thf(prove_this_21, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 0.56/1.00 thf(zf_stmt_5, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.56/1.00 thf(zip_derived_cl23, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/1.00 thf(zip_derived_cl1167, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c3))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl23])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl1184, plain,
% 0.56/1.00 ((((identity) = (sk_c3))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1167, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1185, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c3)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1184])).
% 0.56/1.00 thf(prove_this_16, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_6, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.56/1.00 thf(zip_derived_cl18, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/1.00 thf(zip_derived_cl1204, plain,
% 0.56/1.00 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1185, zip_derived_cl18])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl1216, plain,
% 0.56/1.00 ((((sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1204, zip_derived_cl649])).
% 0.56/1.00 thf(zip_derived_cl1217, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1216])).
% 0.56/1.00 thf(zip_derived_cl1514, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((sk_c8) = (sk_c7))
% 0.56/1.00 | ((sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl768, zip_derived_cl1217])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl1519, plain,
% 0.56/1.00 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1514, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1520, plain,
% 0.56/1.00 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1519])).
% 0.56/1.00 thf(prove_this_12, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_7, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.56/1.00 thf(zip_derived_cl14, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl37, plain,
% 0.56/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl83, plain,
% 0.56/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl68])).
% 0.56/1.00 thf(prove_this_7, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.56/1.00 thf(zf_stmt_8, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.56/1.00 thf(zip_derived_cl9, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/1.00 thf(zip_derived_cl123, plain,
% 0.56/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/1.00 = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl9])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl132, plain,
% 0.56/1.00 ((((identity) = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl123, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl133, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl132])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl137, plain,
% 0.56/1.00 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl140, plain,
% 0.56/1.00 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.56/1.00 | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl68])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl680, plain,
% 0.56/1.00 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl649])).
% 0.56/1.00 thf(prove_this_11, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_9, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.56/1.00 thf(zip_derived_cl13, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/1.00 thf(zip_derived_cl80, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 0.56/1.00 thf(zip_derived_cl379, plain,
% 0.56/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl80])).
% 0.56/1.00 thf(prove_this_6, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.56/1.00 thf(zf_stmt_10, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.56/1.00 thf(zip_derived_cl8, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/1.00 thf(zip_derived_cl604, plain,
% 0.56/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/1.00 = (sk_c8))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl8])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl620, plain,
% 0.56/1.00 ((((identity) = (sk_c8))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl604, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl621, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl620])).
% 0.56/1.00 thf(zip_derived_cl735, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((identity) = (sk_c8))
% 0.56/1.00 | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl680, zip_derived_cl621])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl740, plain,
% 0.56/1.00 ((((identity) = (sk_c7))
% 0.56/1.00 | ((identity) = (sk_c8))
% 0.56/1.00 | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl741, plain,
% 0.56/1.00 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl740])).
% 0.56/1.00 thf(zip_derived_cl1545, plain,
% 0.56/1.00 ((((identity) = (sk_c7))
% 0.56/1.00 | ((identity) = (sk_c7))
% 0.56/1.00 | ((identity) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1520, zip_derived_cl741])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1592, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.00 (((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (sk_c8))
% 0.56/1.00 | ((inverse @ X1) != (sk_c8))
% 0.56/1.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (sk_c8))
% 0.56/1.00 | ((multiply @ X2 @ sk_c8) != (X3))
% 0.56/1.00 | ((multiply @ sk_c8 @ X3) != (identity))
% 0.56/1.00 | ((inverse @ X4) != (identity))
% 0.56/1.00 | ((X4) != (sk_c8))
% 0.56/1.00 | ((sk_c8) != (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl47, zip_derived_cl1552, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1552, zip_derived_cl1552, zip_derived_cl1552,
% 0.56/1.00 zip_derived_cl649, zip_derived_cl1552, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1552, zip_derived_cl1552, zip_derived_cl1552,
% 0.56/1.00 zip_derived_cl1552, zip_derived_cl649, zip_derived_cl1552,
% 0.56/1.00 zip_derived_cl0])).
% 0.56/1.00 thf(prove_this_4, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_11, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.56/1.00 thf(zip_derived_cl6, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl36, plain,
% 0.56/1.00 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl82, plain,
% 0.56/1.00 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl68])).
% 0.56/1.00 thf(prove_this_3, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_12, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.56/1.00 thf(zip_derived_cl5, plain,
% 0.56/1.00 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.56/1.00 thf(zip_derived_cl113, plain,
% 0.56/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/1.00 = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl5])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl116, plain,
% 0.56/1.00 ((((identity) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl113, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl117, plain,
% 0.56/1.00 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl116])).
% 0.56/1.00 thf(zip_derived_cl121, plain,
% 0.56/1.00 ((((multiply @ sk_c7 @ sk_c8) != (identity)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl117])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1598, plain,
% 0.56/1.00 ((((sk_c8) != (identity)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl121, zip_derived_cl1552, zip_derived_cl0])).
% 0.56/1.00 thf(prove_this_14, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_13, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.56/1.00 thf(zip_derived_cl16, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl38, plain,
% 0.56/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl84, plain,
% 0.56/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl68])).
% 0.56/1.00 thf(prove_this_9, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.56/1.00 thf(zf_stmt_14, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.56/1.00 thf(zip_derived_cl11, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.56/1.00 thf(zip_derived_cl176, plain,
% 0.56/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/1.00 = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c7))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl11])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl186, plain,
% 0.56/1.00 ((((identity) = (sk_c8))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c7))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl176, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl187, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl186])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl190, plain,
% 0.56/1.00 ((((multiply @ sk_c7 @ sk_c5) = (identity)) | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl187, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl244, plain,
% 0.56/1.00 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/1.00 | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl68])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl683, plain,
% 0.56/1.00 ((((sk_c5) = (inverse @ sk_c7)) | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl244, zip_derived_cl649])).
% 0.56/1.00 thf(prove_this_13, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_15, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.56/1.00 thf(zip_derived_cl15, plain,
% 0.56/1.00 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.56/1.00 thf(zip_derived_cl699, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl649, zip_derived_cl80])).
% 0.56/1.00 thf(zip_derived_cl720, plain,
% 0.56/1.00 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl699])).
% 0.56/1.00 thf(prove_this_8, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.56/1.00 thf(zf_stmt_16, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c5 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.56/1.00 thf(zip_derived_cl10, plain,
% 0.56/1.00 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.56/1.00 thf(zip_derived_cl1099, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 0.56/1.00 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl720, zip_derived_cl10])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl1115, plain,
% 0.56/1.00 ((((identity) = (sk_c8))
% 0.56/1.00 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c5 @ sk_c7) = (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1099, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1116, plain,
% 0.56/1.00 ((((multiply @ sk_c5 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1115])).
% 0.56/1.00 thf(zip_derived_cl1350, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c8))
% 0.56/1.00 | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl1116])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl1353, plain,
% 0.56/1.00 ((((identity) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c8))
% 0.56/1.00 | ((identity) = (sk_c8)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1350, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1354, plain,
% 0.56/1.00 ((((identity) = (sk_c8)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1353])).
% 0.56/1.00 thf(zip_derived_cl1644, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('clc', [status(thm)], [zip_derived_cl1598, zip_derived_cl1354])).
% 0.56/1.00 thf(zip_derived_cl1686, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.00 (((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (sk_c8))
% 0.56/1.00 | ((inverse @ X1) != (sk_c8))
% 0.56/1.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (sk_c8))
% 0.56/1.00 | ((multiply @ X2 @ sk_c8) != (X3))
% 0.56/1.00 | ((multiply @ sk_c8 @ X3) != (identity))
% 0.56/1.00 | ((inverse @ X4) != (identity))
% 0.56/1.00 | ((X4) != (sk_c8))
% 0.56/1.00 | ((sk_c8) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl1592, zip_derived_cl1644])).
% 0.56/1.00 thf(zip_derived_cl1687, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.00 (((multiply @ identity @ identity) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((multiply @ X1 @ identity) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((multiply @ X2 @ identity) != (X3))
% 0.56/1.00 | ((multiply @ identity @ X3) != (identity))
% 0.56/1.00 | ((inverse @ X4) != (identity))
% 0.56/1.00 | ((X4) != (identity))
% 0.56/1.00 | ((sk_c8) != (identity)))),
% 0.56/1.00 inference('local_rewriting', [status(thm)], [zip_derived_cl1686])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1688, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.00 (((identity) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X2) != (X3))
% 0.56/1.00 | ((X3) != (identity))
% 0.56/1.00 | ((inverse @ X4) != (identity))
% 0.56/1.00 | ((X4) != (identity))
% 0.56/1.00 | ((sk_c8) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl1687, zip_derived_cl0, zip_derived_cl649,
% 0.56/1.00 zip_derived_cl649, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl1689, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.00 (((sk_c8) != (identity))
% 0.56/1.00 | ((X4) != (identity))
% 0.56/1.00 | ((inverse @ X4) != (identity))
% 0.56/1.00 | ((X3) != (identity))
% 0.56/1.00 | ((X2) != (X3))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1688])).
% 0.56/1.00 thf(zip_derived_cl1690, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((inverse @ X3) != (identity))
% 0.56/1.00 | ((X3) != (identity))
% 0.56/1.00 | ((sk_c8) != (identity)))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl1689])).
% 0.56/1.00 thf(prove_this_15, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_17, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.56/1.00 thf(zip_derived_cl17, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl43, plain,
% 0.56/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl1588, plain,
% 0.56/1.00 ((((sk_c1) = (identity)) | ((multiply @ sk_c6 @ sk_c8) = (identity)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl43, zip_derived_cl1552, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1552])).
% 0.56/1.00 thf(zip_derived_cl1644, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('clc', [status(thm)], [zip_derived_cl1598, zip_derived_cl1354])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1749, plain,
% 0.56/1.00 ((((sk_c1) = (identity)) | ((sk_c8) = (identity)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl1588, zip_derived_cl1644, zip_derived_cl0])).
% 0.56/1.00 thf(prove_this_10, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.56/1.00 thf(zf_stmt_18, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.56/1.00 thf(zip_derived_cl12, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl1552, plain, (((identity) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.56/1.00 thf(zip_derived_cl649, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.56/1.00 thf(zip_derived_cl1562, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c8) = (identity)) | ((sk_c1) = (sk_c8)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl12, zip_derived_cl1552, zip_derived_cl1552,
% 0.56/1.00 zip_derived_cl649])).
% 0.56/1.00 thf(zip_derived_cl1644, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('clc', [status(thm)], [zip_derived_cl1598, zip_derived_cl1354])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1732, plain,
% 0.56/1.00 ((((sk_c8) = (identity)) | ((sk_c1) = (sk_c8)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl1562, zip_derived_cl1644, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl1755, plain,
% 0.56/1.00 ((((identity) = (sk_c8))
% 0.56/1.00 | ((sk_c8) = (identity))
% 0.56/1.00 | ((sk_c8) = (identity)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1749, zip_derived_cl1732])).
% 0.56/1.00 thf(zip_derived_cl1761, plain, (((identity) = (sk_c8))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1755])).
% 0.56/1.00 thf(zip_derived_cl1777, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((inverse @ X3) != (identity))
% 0.56/1.00 | ((X3) != (identity))
% 0.56/1.00 | ((identity) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl1690, zip_derived_cl1761])).
% 0.56/1.00 thf(zip_derived_cl1778, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((X3) != (identity))
% 0.56/1.00 | ((inverse @ X3) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1777])).
% 0.56/1.00 thf(zip_derived_cl1793, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((inverse @ identity) != (identity)))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl1778])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl79, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl68])).
% 0.56/1.00 thf(zip_derived_cl68, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl111, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl68])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl523, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1794, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((identity) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1793, zip_derived_cl523])).
% 0.56/1.00 thf(zip_derived_cl1795, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 (((X2) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1794])).
% 0.56/1.00 thf(zip_derived_cl1796, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ identity) != (identity)))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl1795])).
% 0.56/1.00 thf(zip_derived_cl523, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1797, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((identity) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1796, zip_derived_cl523])).
% 0.56/1.00 thf(zip_derived_cl1798, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 (((X1) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1797])).
% 0.56/1.00 thf(zip_derived_cl1799, plain,
% 0.56/1.00 (![X0 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ identity) != (identity)))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl1798])).
% 0.56/1.00 thf(zip_derived_cl523, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1800, plain,
% 0.56/1.00 (![X0 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((identity) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1799, zip_derived_cl523])).
% 0.56/1.00 thf(zip_derived_cl1801, plain,
% 0.56/1.00 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 0.56/1.00 thf(zip_derived_cl1802, plain, (((inverse @ identity) != (identity))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl1801])).
% 0.56/1.00 thf(zip_derived_cl523, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1803, plain, (((identity) != (identity))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl1802, zip_derived_cl523])).
% 0.56/1.00 thf(zip_derived_cl1804, plain, ($false),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1803])).
% 0.56/1.00
% 0.56/1.00 % SZS output end Refutation
% 0.56/1.00
% 0.56/1.00
% 0.56/1.00 % Terminating...
% 1.47/1.09 % Runner terminated.
% 1.47/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------