TSTP Solution File: GRP268-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP268-1 : 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.faIGid99hx true
% Computer : n025.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 01:50:58 EDT 2023
% Result : Unsatisfiable 1.68s 0.83s
% Output : Refutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP268-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.faIGid99hx true
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 19:48:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.68/0.83 % Solved by fo/fo7.sh.
% 1.68/0.83 % done 192 iterations in 0.071s
% 1.68/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.68/0.83 % SZS output start Refutation
% 1.68/0.83 thf(sk_c4_type, type, sk_c4: $i).
% 1.68/0.83 thf(sk_c7_type, type, sk_c7: $i).
% 1.68/0.83 thf(sk_c2_type, type, sk_c2: $i).
% 1.68/0.83 thf(sk_c6_type, type, sk_c6: $i).
% 1.68/0.83 thf(identity_type, type, identity: $i).
% 1.68/0.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.68/0.83 thf(sk_c8_type, type, sk_c8: $i).
% 1.68/0.83 thf(inverse_type, type, inverse: $i > $i).
% 1.68/0.83 thf(sk_c5_type, type, sk_c5: $i).
% 1.68/0.83 thf(sk_c3_type, type, sk_c3: $i).
% 1.68/0.83 thf(sk_c1_type, type, sk_c1: $i).
% 1.68/0.83 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(associativity, axiom,
% 1.68/0.83 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.68/0.83 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.68/0.83 thf(zip_derived_cl2, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.68/0.83 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.68/0.83 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.68/0.83 inference('cnf', [status(esa)], [associativity])).
% 1.68/0.83 thf(zip_derived_cl42, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((multiply @ identity @ X0)
% 1.68/0.83 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.68/0.83 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.68/0.83 thf(zip_derived_cl0, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_identity])).
% 1.68/0.83 thf(zip_derived_cl60, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.68/0.83 thf(zip_derived_cl74, plain,
% 1.68/0.83 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 1.68/0.83 thf(zip_derived_cl60, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.68/0.83 thf(zip_derived_cl60, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.68/0.83 thf(zip_derived_cl71, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl60])).
% 1.68/0.83 thf(zip_derived_cl384, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.68/0.83 thf(zip_derived_cl74, plain,
% 1.68/0.83 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 1.68/0.83 thf(zip_derived_cl415, plain,
% 1.68/0.83 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl74])).
% 1.68/0.83 thf(prove_this_22, conjecture,
% 1.68/0.83 (~( ( ( inverse @ sk_c6 ) != ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.68/0.83 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 1.68/0.83 ( ( multiply @ X5 @ sk_c6 ) != ( X4 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c6 @ X4 ) != ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.68/0.83 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.68/0.83 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 1.68/0.83 thf(zf_stmt_0, negated_conjecture,
% 1.68/0.83 (( ( inverse @ sk_c6 ) != ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.68/0.83 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 1.68/0.83 ( ( multiply @ X5 @ sk_c6 ) != ( X4 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c6 @ X4 ) != ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.68/0.83 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.68/0.83 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.68/0.83 thf(zip_derived_cl24, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.68/0.83 (((inverse @ sk_c6) != (sk_c7))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (sk_c7))
% 1.68/0.83 | ((inverse @ X1) != (sk_c6))
% 1.68/0.83 | ((multiply @ X1 @ sk_c6) != (X2))
% 1.68/0.83 | ((multiply @ sk_c6 @ X2) != (sk_c7))
% 1.68/0.83 | ((inverse @ X3) != (sk_c6))
% 1.68/0.83 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.68/0.83 | ((inverse @ X4) != (sk_c8))
% 1.68/0.83 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.68/0.83 thf(prove_this_11, conjecture,
% 1.68/0.83 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.68/0.83 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.68/0.83 thf(zf_stmt_1, negated_conjecture,
% 1.68/0.83 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.68/0.83 thf(zip_derived_cl13, plain,
% 1.68/0.83 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl33, plain,
% 1.68/0.83 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.68/0.83 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl60, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.68/0.83 thf(zip_derived_cl82, plain,
% 1.68/0.83 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.68/0.83 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl60])).
% 1.68/0.83 thf(zip_derived_cl384, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.68/0.83 thf(zip_derived_cl403, plain,
% 1.68/0.83 ((((sk_c2) = (inverse @ sk_c6)) | ((inverse @ sk_c5) = (sk_c8)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl384])).
% 1.68/0.83 thf(prove_this_8, conjecture,
% 1.68/0.83 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.68/0.83 thf(zf_stmt_2, negated_conjecture,
% 1.68/0.83 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.68/0.83 thf(zip_derived_cl10, plain,
% 1.68/0.83 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.68/0.83 thf(zip_derived_cl523, plain,
% 1.68/0.83 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 1.68/0.83 | ((inverse @ sk_c5) = (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl10])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl531, plain,
% 1.68/0.83 ((((identity) = (sk_c7))
% 1.68/0.83 | ((inverse @ sk_c5) = (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl523, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl532, plain,
% 1.68/0.83 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl531])).
% 1.68/0.83 thf(zip_derived_cl415, plain,
% 1.68/0.83 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl74])).
% 1.68/0.83 thf(zip_derived_cl623, plain,
% 1.68/0.83 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl532, zip_derived_cl415])).
% 1.68/0.83 thf(prove_this_10, conjecture,
% 1.68/0.83 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.68/0.83 thf(zf_stmt_3, negated_conjecture,
% 1.68/0.83 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.68/0.83 thf(zip_derived_cl12, plain,
% 1.68/0.83 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.68/0.83 thf(zip_derived_cl74, plain,
% 1.68/0.83 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 1.68/0.83 thf(zip_derived_cl290, plain,
% 1.68/0.83 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.68/0.83 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl74])).
% 1.68/0.83 thf(zip_derived_cl384, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.68/0.83 thf(zip_derived_cl408, plain,
% 1.68/0.83 ((((sk_c2) = (inverse @ sk_c6)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl290, zip_derived_cl384])).
% 1.68/0.83 thf(prove_this_7, conjecture,
% 1.68/0.83 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.68/0.83 thf(zf_stmt_4, negated_conjecture,
% 1.68/0.83 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.68/0.83 thf(zip_derived_cl9, plain,
% 1.68/0.83 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 1.68/0.83 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.68/0.83 thf(zip_derived_cl685, plain,
% 1.68/0.83 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 1.68/0.83 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 1.68/0.83 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl408, zip_derived_cl9])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl693, plain,
% 1.68/0.83 ((((identity) = (sk_c7))
% 1.68/0.83 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 1.68/0.83 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl685, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl694, plain,
% 1.68/0.83 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl693])).
% 1.68/0.83 thf(zip_derived_cl885, plain,
% 1.68/0.83 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.68/0.83 | ((identity) = (sk_c7))
% 1.68/0.83 | ((identity) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl623, zip_derived_cl694])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl890, plain,
% 1.68/0.83 ((((identity) = (sk_c7))
% 1.68/0.83 | ((identity) = (sk_c7))
% 1.68/0.83 | ((identity) = (sk_c7)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl885, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl891, plain, (((identity) = (sk_c7))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl890])).
% 1.68/0.83 thf(zip_derived_cl891, plain, (((identity) = (sk_c7))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl890])).
% 1.68/0.83 thf(zip_derived_cl891, plain, (((identity) = (sk_c7))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl890])).
% 1.68/0.83 thf(zip_derived_cl891, plain, (((identity) = (sk_c7))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl890])).
% 1.68/0.83 thf(zip_derived_cl891, plain, (((identity) = (sk_c7))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl890])).
% 1.68/0.83 thf(zip_derived_cl908, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.68/0.83 (((inverse @ sk_c6) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (sk_c6))
% 1.68/0.83 | ((multiply @ X1 @ sk_c6) != (X2))
% 1.68/0.83 | ((multiply @ sk_c6 @ X2) != (identity))
% 1.68/0.83 | ((inverse @ X3) != (sk_c6))
% 1.68/0.83 | ((multiply @ X3 @ sk_c6) != (identity))
% 1.68/0.83 | ((inverse @ X4) != (sk_c8))
% 1.68/0.83 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('demod', [status(thm)],
% 1.68/0.83 [zip_derived_cl24, zip_derived_cl891, zip_derived_cl891,
% 1.68/0.83 zip_derived_cl891, zip_derived_cl891, zip_derived_cl891])).
% 1.68/0.83 thf(prove_this_21, conjecture,
% 1.68/0.83 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.68/0.83 thf(zf_stmt_5, negated_conjecture,
% 1.68/0.83 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.68/0.83 thf(zip_derived_cl23, plain,
% 1.68/0.83 ((((inverse @ sk_c6) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c6)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl36, plain,
% 1.68/0.83 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 1.68/0.83 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl60, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.68/0.83 thf(zip_derived_cl87, plain,
% 1.68/0.83 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.68/0.83 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl60])).
% 1.68/0.83 thf(prove_this_18, conjecture,
% 1.68/0.83 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c4 ) ) ))).
% 1.68/0.83 thf(zf_stmt_6, negated_conjecture,
% 1.68/0.83 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c4 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.68/0.83 thf(zip_derived_cl20, plain,
% 1.68/0.83 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c4)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.68/0.83 thf(zip_derived_cl257, plain,
% 1.68/0.83 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.68/0.83 = (sk_c4))
% 1.68/0.83 | ((inverse @ sk_c6) = (sk_c7))
% 1.68/0.83 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl20])).
% 1.68/0.83 thf(zip_derived_cl2, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.68/0.83 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.68/0.83 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.68/0.83 inference('cnf', [status(esa)], [associativity])).
% 1.68/0.83 thf(zip_derived_cl0, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_identity])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl264, plain,
% 1.68/0.83 ((((identity) = (sk_c4))
% 1.68/0.83 | ((inverse @ sk_c6) = (sk_c7))
% 1.68/0.83 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('demod', [status(thm)],
% 1.68/0.83 [zip_derived_cl257, zip_derived_cl2, zip_derived_cl0,
% 1.68/0.83 zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl265, plain,
% 1.68/0.83 ((((inverse @ sk_c6) = (sk_c7)) | ((identity) = (sk_c4)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 1.68/0.83 thf(prove_this_15, conjecture,
% 1.68/0.83 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c6 @ sk_c4 ) = ( sk_c7 ) ) ))).
% 1.68/0.83 thf(zf_stmt_7, negated_conjecture,
% 1.68/0.83 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.68/0.83 ( ( multiply @ sk_c6 @ sk_c4 ) = ( sk_c7 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.68/0.83 thf(zip_derived_cl17, plain,
% 1.68/0.83 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c4) = (sk_c7)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.68/0.83 thf(zip_derived_cl269, plain,
% 1.68/0.83 ((((multiply @ sk_c6 @ identity) = (sk_c7))
% 1.68/0.83 | ((inverse @ sk_c6) = (sk_c7))
% 1.68/0.83 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl17])).
% 1.68/0.83 thf(zip_derived_cl272, plain,
% 1.68/0.83 ((((inverse @ sk_c6) = (sk_c7))
% 1.68/0.83 | ((multiply @ sk_c6 @ identity) = (sk_c7)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl269])).
% 1.68/0.83 thf(zip_derived_cl384, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.68/0.83 thf(zip_derived_cl407, plain,
% 1.68/0.83 ((((inverse @ sk_c6) = (sk_c7)) | ((sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl272, zip_derived_cl384])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl421, plain,
% 1.68/0.83 ((((multiply @ sk_c7 @ sk_c6) = (identity)) | ((sk_c6) = (sk_c7)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl891, plain, (((identity) = (sk_c7))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl890])).
% 1.68/0.83 thf(zip_derived_cl0, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_identity])).
% 1.68/0.83 thf(zip_derived_cl891, plain, (((identity) = (sk_c7))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl890])).
% 1.68/0.83 thf(zip_derived_cl928, plain,
% 1.68/0.83 ((((sk_c6) = (identity)) | ((sk_c6) = (identity)))),
% 1.68/0.83 inference('demod', [status(thm)],
% 1.68/0.83 [zip_derived_cl421, zip_derived_cl891, zip_derived_cl0,
% 1.68/0.83 zip_derived_cl891])).
% 1.68/0.83 thf(zip_derived_cl929, plain, (((sk_c6) = (identity))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl928])).
% 1.68/0.83 thf(zip_derived_cl0, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_identity])).
% 1.68/0.83 thf(zip_derived_cl60, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.68/0.83 thf(zip_derived_cl73, plain,
% 1.68/0.83 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl60])).
% 1.68/0.83 thf(zip_derived_cl60, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.68/0.83 thf(zip_derived_cl104, plain,
% 1.68/0.83 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl60])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl370, plain, (((inverse @ identity) = (identity))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl929, plain, (((sk_c6) = (identity))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl928])).
% 1.68/0.83 thf(zip_derived_cl929, plain, (((sk_c6) = (identity))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl928])).
% 1.68/0.83 thf(zip_derived_cl384, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.68/0.83 thf(zip_derived_cl929, plain, (((sk_c6) = (identity))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl928])).
% 1.68/0.83 thf(zip_derived_cl0, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_identity])).
% 1.68/0.83 thf(zip_derived_cl929, plain, (((sk_c6) = (identity))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl928])).
% 1.68/0.83 thf(zip_derived_cl929, plain, (((sk_c6) = (identity))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl928])).
% 1.68/0.83 thf(zip_derived_cl384, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.68/0.83 thf(zip_derived_cl949, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.68/0.83 (((identity) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (identity))
% 1.68/0.83 | ((X1) != (X2))
% 1.68/0.83 | ((X2) != (identity))
% 1.68/0.83 | ((inverse @ X3) != (identity))
% 1.68/0.83 | ((X3) != (identity))
% 1.68/0.83 | ((inverse @ X4) != (sk_c8))
% 1.68/0.83 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('demod', [status(thm)],
% 1.68/0.83 [zip_derived_cl908, zip_derived_cl929, zip_derived_cl370,
% 1.68/0.83 zip_derived_cl929, zip_derived_cl929, zip_derived_cl384,
% 1.68/0.83 zip_derived_cl929, zip_derived_cl0, zip_derived_cl929,
% 1.68/0.83 zip_derived_cl929, zip_derived_cl384])).
% 1.68/0.83 thf(zip_derived_cl950, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.68/0.83 (((multiply @ X4 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X4) != (sk_c8))
% 1.68/0.83 | ((X3) != (identity))
% 1.68/0.83 | ((inverse @ X3) != (identity))
% 1.68/0.83 | ((X2) != (identity))
% 1.68/0.83 | ((X1) != (X2))
% 1.68/0.83 | ((inverse @ X1) != (identity))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl949])).
% 1.68/0.83 thf(zip_derived_cl951, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.68/0.83 (((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (identity))
% 1.68/0.83 | ((X1) != (identity))
% 1.68/0.83 | ((inverse @ X2) != (identity))
% 1.68/0.83 | ((X2) != (identity))
% 1.68/0.83 | ((inverse @ X3) != (sk_c8))
% 1.68/0.83 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('eq_res', [status(thm)], [zip_derived_cl950])).
% 1.68/0.83 thf(zip_derived_cl952, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.68/0.83 (((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((X1) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (identity))
% 1.68/0.83 | ((inverse @ identity) != (identity))
% 1.68/0.83 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X2) != (sk_c8)))),
% 1.68/0.83 inference('eq_res', [status(thm)], [zip_derived_cl951])).
% 1.68/0.83 thf(zip_derived_cl370, plain, (((inverse @ identity) = (identity))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl953, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.68/0.83 (((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((X1) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (identity))
% 1.68/0.83 | ((identity) != (identity))
% 1.68/0.83 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X2) != (sk_c8)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl952, zip_derived_cl370])).
% 1.68/0.83 thf(zip_derived_cl954, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.68/0.83 (((inverse @ X2) != (sk_c8))
% 1.68/0.83 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (identity))
% 1.68/0.83 | ((X1) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl953])).
% 1.68/0.83 thf(zip_derived_cl955, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 (((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((inverse @ identity) != (identity))
% 1.68/0.83 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (sk_c8)))),
% 1.68/0.83 inference('eq_res', [status(thm)], [zip_derived_cl954])).
% 1.68/0.83 thf(zip_derived_cl370, plain, (((inverse @ identity) = (identity))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl956, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 (((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((identity) != (identity))
% 1.68/0.83 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (sk_c8)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl955, zip_derived_cl370])).
% 1.68/0.83 thf(zip_derived_cl957, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 (((inverse @ X1) != (sk_c8))
% 1.68/0.83 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 1.68/0.83 thf(zip_derived_cl958, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 (((X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X1) != (sk_c8))
% 1.68/0.83 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity)))),
% 1.68/0.83 inference('sup-', [status(thm)], [zip_derived_cl415, zip_derived_cl957])).
% 1.68/0.83 thf(zip_derived_cl961, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('eq_res', [status(thm)], [zip_derived_cl958])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl962, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((identity) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl961, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl963, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((multiply @ X0 @ sk_c8) != (identity)) | ((inverse @ X0) != (sk_c8)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl962])).
% 1.68/0.83 thf(prove_this_5, conjecture,
% 1.68/0.83 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.68/0.83 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.68/0.83 thf(zf_stmt_8, negated_conjecture,
% 1.68/0.83 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.68/0.83 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.68/0.83 thf(zip_derived_cl7, plain,
% 1.68/0.83 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl28, plain,
% 1.68/0.83 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl60, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.68/0.83 thf(zip_derived_cl77, plain,
% 1.68/0.83 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl60])).
% 1.68/0.83 thf(zip_derived_cl384, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.68/0.83 thf(zip_derived_cl400, plain,
% 1.68/0.83 ((((sk_c5) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl77, zip_derived_cl384])).
% 1.68/0.83 thf(zip_derived_cl7, plain,
% 1.68/0.83 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.68/0.83 thf(zip_derived_cl400, plain,
% 1.68/0.83 ((((sk_c5) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl77, zip_derived_cl384])).
% 1.68/0.83 thf(zip_derived_cl7, plain,
% 1.68/0.83 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.68/0.83 thf(zip_derived_cl957, plain,
% 1.68/0.83 (![X0 : $i, X1 : $i]:
% 1.68/0.83 (((inverse @ X1) != (sk_c8))
% 1.68/0.83 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 1.68/0.83 thf(zip_derived_cl959, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((sk_c8) != (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ sk_c5 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl957])).
% 1.68/0.83 thf(zip_derived_cl960, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((multiply @ sk_c5 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl959])).
% 1.68/0.83 thf(zip_derived_cl964, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8)))),
% 1.68/0.83 inference('sup-', [status(thm)], [zip_derived_cl400, zip_derived_cl960])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl965, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((identity) != (identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (sk_c8)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl964, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl966, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((inverse @ X0) != (sk_c8))
% 1.68/0.83 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl965])).
% 1.68/0.83 thf(zip_derived_cl968, plain,
% 1.68/0.83 ((((sk_c8) != (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((multiply @ sk_c5 @ sk_c8) != (identity)))),
% 1.68/0.83 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl966])).
% 1.68/0.83 thf(zip_derived_cl969, plain,
% 1.68/0.83 ((((multiply @ sk_c5 @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl968])).
% 1.68/0.83 thf(zip_derived_cl970, plain,
% 1.68/0.83 ((((multiply @ (inverse @ sk_c8) @ sk_c8) != (identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('sup-', [status(thm)], [zip_derived_cl400, zip_derived_cl969])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl971, plain,
% 1.68/0.83 ((((identity) != (identity))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8))
% 1.68/0.83 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl970, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl972, plain, (((inverse @ sk_c1) = (sk_c8))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl971])).
% 1.68/0.83 thf(zip_derived_cl972, plain, (((inverse @ sk_c1) = (sk_c8))),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl971])).
% 1.68/0.83 thf(zip_derived_cl999, plain,
% 1.68/0.83 (![X0 : $i]:
% 1.68/0.83 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.68/0.83 | ((inverse @ X0) != (inverse @ sk_c1)))),
% 1.68/0.83 inference('demod', [status(thm)],
% 1.68/0.83 [zip_derived_cl963, zip_derived_cl972, zip_derived_cl972])).
% 1.68/0.83 thf(zip_derived_cl1001, plain,
% 1.68/0.83 (((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity))),
% 1.68/0.83 inference('eq_res', [status(thm)], [zip_derived_cl999])).
% 1.68/0.83 thf(zip_derived_cl415, plain,
% 1.68/0.83 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl74])).
% 1.68/0.83 thf(zip_derived_cl1, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.68/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 1.68/0.83 thf(zip_derived_cl606, plain,
% 1.68/0.83 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.68/0.83 inference('sup+', [status(thm)], [zip_derived_cl415, zip_derived_cl1])).
% 1.68/0.83 thf(zip_derived_cl1002, plain, (((identity) != (identity))),
% 1.68/0.83 inference('demod', [status(thm)], [zip_derived_cl1001, zip_derived_cl606])).
% 1.68/0.83 thf(zip_derived_cl1003, plain, ($false),
% 1.68/0.83 inference('simplify', [status(thm)], [zip_derived_cl1002])).
% 1.68/0.83
% 1.68/0.83 % SZS output end Refutation
% 1.68/0.83
% 1.68/0.83
% 1.68/0.83 % Terminating...
% 2.01/0.94 % Runner terminated.
% 2.01/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------