TSTP Solution File: GRP267-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP267-1 : 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.TTkwLRF10d true
% Computer : n005.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 1.45s 0.88s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP267-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TTkwLRF10d true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:46:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.45/0.88 % Solved by fo/fo7.sh.
% 1.45/0.88 % done 240 iterations in 0.100s
% 1.45/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/0.88 % SZS output start Refutation
% 1.45/0.88 thf(sk_c4_type, type, sk_c4: $i).
% 1.45/0.88 thf(sk_c7_type, type, sk_c7: $i).
% 1.45/0.88 thf(sk_c2_type, type, sk_c2: $i).
% 1.45/0.88 thf(sk_c6_type, type, sk_c6: $i).
% 1.45/0.88 thf(identity_type, type, identity: $i).
% 1.45/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.45/0.88 thf(sk_c8_type, type, sk_c8: $i).
% 1.45/0.88 thf(inverse_type, type, inverse: $i > $i).
% 1.45/0.88 thf(sk_c5_type, type, sk_c5: $i).
% 1.45/0.88 thf(sk_c3_type, type, sk_c3: $i).
% 1.45/0.88 thf(sk_c1_type, type, sk_c1: $i).
% 1.45/0.88 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(associativity, axiom,
% 1.45/0.88 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.45/0.88 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.45/0.88 thf(zip_derived_cl2, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.45/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.45/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.45/0.88 thf(zip_derived_cl42, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((multiply @ identity @ X0)
% 1.45/0.88 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.88 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.45/0.88 thf(zip_derived_cl0, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.45/0.88 thf(zip_derived_cl60, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl74, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 1.45/0.88 thf(zip_derived_cl60, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl60, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl71, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl60])).
% 1.45/0.88 thf(zip_derived_cl664, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.45/0.88 thf(zip_derived_cl74, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 1.45/0.88 thf(zip_derived_cl706, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl74])).
% 1.45/0.88 thf(prove_this_22, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c6 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ X5 @ sk_c7 ) != ( X4 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c7 @ X4 ) != ( sk_c6 ) ) |
% 1.45/0.88 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.45/0.88 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 1.45/0.88 thf(zf_stmt_0, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c6 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ X5 @ sk_c7 ) != ( X4 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c7 @ X4 ) != ( sk_c6 ) ) |
% 1.45/0.88 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.45/0.88 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.45/0.88 thf(zip_derived_cl24, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.45/0.88 (((inverse @ sk_c6) != (sk_c7))
% 1.45/0.88 | ((inverse @ X0) != (sk_c8))
% 1.45/0.88 | ((multiply @ X0 @ sk_c8) != (sk_c7))
% 1.45/0.88 | ((inverse @ X1) != (sk_c7))
% 1.45/0.88 | ((multiply @ X1 @ sk_c7) != (X2))
% 1.45/0.88 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 1.45/0.88 | ((inverse @ X3) != (sk_c6))
% 1.45/0.88 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.45/0.88 | ((inverse @ X4) != (sk_c8))
% 1.45/0.88 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.45/0.88 thf(prove_this_11, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.45/0.88 thf(zf_stmt_1, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.45/0.88 thf(zip_derived_cl13, plain,
% 1.45/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.45/0.88 thf(prove_this_8, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.45/0.88 thf(zf_stmt_2, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.45/0.88 thf(zip_derived_cl10, plain,
% 1.45/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.45/0.88 thf(zip_derived_cl60, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl88, plain,
% 1.45/0.88 ((((sk_c6) = (multiply @ (inverse @ sk_c2) @ sk_c7))
% 1.45/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl60])).
% 1.45/0.88 thf(zip_derived_cl466, plain,
% 1.45/0.88 ((((sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.45/0.88 | ((inverse @ sk_c5) = (sk_c8))
% 1.45/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl88])).
% 1.45/0.88 thf(zip_derived_cl471, plain,
% 1.45/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl466])).
% 1.45/0.88 thf(zip_derived_cl60, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl523, plain,
% 1.45/0.88 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6))
% 1.45/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl60])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl537, plain,
% 1.45/0.88 ((((sk_c7) = (identity)) | ((inverse @ sk_c5) = (sk_c8)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl523, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl74, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 1.45/0.88 thf(zip_derived_cl539, plain,
% 1.45/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.45/0.88 | ((sk_c7) = (identity)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl537, zip_derived_cl74])).
% 1.45/0.88 thf(zip_derived_cl664, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.45/0.88 thf(zip_derived_cl698, plain,
% 1.45/0.88 ((((sk_c5) = (inverse @ sk_c8)) | ((sk_c7) = (identity)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl539, zip_derived_cl664])).
% 1.45/0.88 thf(prove_this_10, conjecture,
% 1.45/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.45/0.88 thf(zf_stmt_3, negated_conjecture,
% 1.45/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.45/0.88 thf(zip_derived_cl12, plain,
% 1.45/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.45/0.88 thf(zip_derived_cl74, plain,
% 1.45/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 1.45/0.88 thf(zip_derived_cl307, plain,
% 1.45/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.45/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl74])).
% 1.45/0.88 thf(zip_derived_cl664, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.45/0.88 thf(zip_derived_cl693, plain,
% 1.45/0.88 ((((sk_c2) = (inverse @ sk_c6)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl307, zip_derived_cl664])).
% 1.45/0.88 thf(prove_this_7, conjecture,
% 1.45/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.45/0.88 thf(zf_stmt_4, negated_conjecture,
% 1.45/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.45/0.88 thf(zip_derived_cl9, plain,
% 1.45/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 1.45/0.88 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.45/0.88 thf(zip_derived_cl1010, plain,
% 1.45/0.88 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 1.45/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 1.45/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl693, zip_derived_cl9])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl1020, plain,
% 1.45/0.88 ((((identity) = (sk_c7))
% 1.45/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 1.45/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl1010, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl1021, plain,
% 1.45/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1020])).
% 1.45/0.88 thf(zip_derived_cl1210, plain,
% 1.45/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.45/0.88 | ((sk_c7) = (identity))
% 1.45/0.88 | ((identity) = (sk_c7)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl698, zip_derived_cl1021])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl1215, plain,
% 1.45/0.88 ((((identity) = (sk_c7))
% 1.45/0.88 | ((sk_c7) = (identity))
% 1.45/0.88 | ((identity) = (sk_c7)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl1210, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.88 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.88 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.88 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.88 thf(zip_derived_cl664, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.45/0.88 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.88 thf(zip_derived_cl0, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.45/0.88 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.88 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.88 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.88 thf(zip_derived_cl1236, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.45/0.88 (((inverse @ sk_c6) != (identity))
% 1.45/0.88 | ((inverse @ X0) != (sk_c8))
% 1.45/0.88 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.88 | ((inverse @ X1) != (identity))
% 1.45/0.88 | ((X1) != (X2))
% 1.45/0.88 | ((X2) != (sk_c6))
% 1.45/0.88 | ((inverse @ X3) != (sk_c6))
% 1.45/0.88 | ((multiply @ X3 @ sk_c6) != (identity))
% 1.45/0.88 | ((inverse @ X4) != (sk_c8))
% 1.45/0.88 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 1.45/0.88 inference('demod', [status(thm)],
% 1.45/0.88 [zip_derived_cl24, zip_derived_cl1216, zip_derived_cl1216,
% 1.45/0.88 zip_derived_cl1216, zip_derived_cl1216, zip_derived_cl664,
% 1.45/0.88 zip_derived_cl1216, zip_derived_cl0, zip_derived_cl1216,
% 1.45/0.88 zip_derived_cl1216])).
% 1.45/0.88 thf(prove_this_21, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.45/0.88 thf(zf_stmt_5, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c7 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.45/0.88 thf(zip_derived_cl23, plain,
% 1.45/0.88 ((((inverse @ sk_c6) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c7)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.45/0.88 thf(zip_derived_cl1, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.88 thf(zip_derived_cl36, plain,
% 1.45/0.88 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 1.45/0.88 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.45/0.88 thf(zip_derived_cl60, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i]:
% 1.45/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.88 thf(zip_derived_cl83, plain,
% 1.45/0.88 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.45/0.88 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl60])).
% 1.45/0.88 thf(prove_this_18, conjecture,
% 1.45/0.88 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) ))).
% 1.45/0.88 thf(zf_stmt_6, negated_conjecture,
% 1.45/0.88 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.88 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) )),
% 1.45/0.88 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.45/0.88 thf(zip_derived_cl20, plain,
% 1.45/0.88 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c4)))),
% 1.45/0.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.45/0.88 thf(zip_derived_cl253, plain,
% 1.45/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.45/0.88 = (sk_c4))
% 1.45/0.88 | ((inverse @ sk_c6) = (sk_c7))
% 1.45/0.88 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.45/0.88 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl20])).
% 1.45/0.88 thf(zip_derived_cl2, plain,
% 1.45/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.45/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.45/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.45/0.88 thf(zip_derived_cl0, plain,
% 1.45/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.45/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.45/0.89 thf(zip_derived_cl1, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.89 thf(zip_derived_cl260, plain,
% 1.45/0.89 ((((identity) = (sk_c4))
% 1.45/0.89 | ((inverse @ sk_c6) = (sk_c7))
% 1.45/0.89 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.45/0.89 inference('demod', [status(thm)],
% 1.45/0.89 [zip_derived_cl253, zip_derived_cl2, zip_derived_cl0,
% 1.45/0.89 zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl261, plain,
% 1.45/0.89 ((((inverse @ sk_c6) = (sk_c7)) | ((identity) = (sk_c4)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl260])).
% 1.45/0.89 thf(prove_this_15, conjecture,
% 1.45/0.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.89 ( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) ))).
% 1.45/0.89 thf(zf_stmt_7, negated_conjecture,
% 1.45/0.89 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.45/0.89 ( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) )),
% 1.45/0.89 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.45/0.89 thf(zip_derived_cl17, plain,
% 1.45/0.89 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c4) = (sk_c6)))),
% 1.45/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.45/0.89 thf(zip_derived_cl265, plain,
% 1.45/0.89 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.45/0.89 | ((inverse @ sk_c6) = (sk_c7))
% 1.45/0.89 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl17])).
% 1.45/0.89 thf(zip_derived_cl268, plain,
% 1.45/0.89 ((((inverse @ sk_c6) = (sk_c7))
% 1.45/0.89 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl265])).
% 1.45/0.89 thf(zip_derived_cl1, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.89 thf(zip_derived_cl270, plain,
% 1.45/0.89 ((((multiply @ sk_c7 @ sk_c6) = (identity))
% 1.45/0.89 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl664, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.45/0.89 thf(zip_derived_cl691, plain,
% 1.45/0.89 ((((multiply @ sk_c7 @ sk_c6) = (identity)) | ((sk_c7) = (sk_c6)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl270, zip_derived_cl664])).
% 1.45/0.89 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.89 thf(zip_derived_cl0, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.45/0.89 thf(zip_derived_cl1216, plain, (((identity) = (sk_c7))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 1.45/0.89 thf(zip_derived_cl1263, plain,
% 1.45/0.89 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 1.45/0.89 inference('demod', [status(thm)],
% 1.45/0.89 [zip_derived_cl691, zip_derived_cl1216, zip_derived_cl0,
% 1.45/0.89 zip_derived_cl1216])).
% 1.45/0.89 thf(zip_derived_cl1264, plain, (((sk_c6) = (identity))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1263])).
% 1.45/0.89 thf(zip_derived_cl0, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_identity])).
% 1.45/0.89 thf(zip_derived_cl60, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i]:
% 1.45/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.89 thf(zip_derived_cl73, plain,
% 1.45/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl60])).
% 1.45/0.89 thf(zip_derived_cl60, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i]:
% 1.45/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.89 thf(zip_derived_cl104, plain,
% 1.45/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl60])).
% 1.45/0.89 thf(zip_derived_cl1, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.89 thf(zip_derived_cl512, plain, (((inverse @ identity) = (identity))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl1264, plain, (((sk_c6) = (identity))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1263])).
% 1.45/0.89 thf(zip_derived_cl1264, plain, (((sk_c6) = (identity))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1263])).
% 1.45/0.89 thf(zip_derived_cl1264, plain, (((sk_c6) = (identity))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1263])).
% 1.45/0.89 thf(zip_derived_cl664, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.45/0.89 thf(zip_derived_cl1281, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.45/0.89 (((identity) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X1) != (identity))
% 1.45/0.89 | ((X1) != (X2))
% 1.45/0.89 | ((X2) != (identity))
% 1.45/0.89 | ((inverse @ X3) != (identity))
% 1.45/0.89 | ((X3) != (identity))
% 1.45/0.89 | ((inverse @ X4) != (sk_c8))
% 1.45/0.89 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('demod', [status(thm)],
% 1.45/0.89 [zip_derived_cl1236, zip_derived_cl1264, zip_derived_cl512,
% 1.45/0.89 zip_derived_cl1264, zip_derived_cl1264, zip_derived_cl1264,
% 1.45/0.89 zip_derived_cl664])).
% 1.45/0.89 thf(zip_derived_cl1282, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.45/0.89 (((multiply @ X4 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X4) != (sk_c8))
% 1.45/0.89 | ((X3) != (identity))
% 1.45/0.89 | ((inverse @ X3) != (identity))
% 1.45/0.89 | ((X2) != (identity))
% 1.45/0.89 | ((X1) != (X2))
% 1.45/0.89 | ((inverse @ X1) != (identity))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1281])).
% 1.45/0.89 thf(zip_derived_cl1283, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.89 (((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X1) != (identity))
% 1.45/0.89 | ((X1) != (identity))
% 1.45/0.89 | ((inverse @ X2) != (identity))
% 1.45/0.89 | ((X2) != (identity))
% 1.45/0.89 | ((inverse @ X3) != (sk_c8))
% 1.45/0.89 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1282])).
% 1.45/0.89 thf(zip_derived_cl1284, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.89 (((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((X1) != (identity))
% 1.45/0.89 | ((inverse @ X1) != (identity))
% 1.45/0.89 | ((inverse @ identity) != (identity))
% 1.45/0.89 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X2) != (sk_c8)))),
% 1.45/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1283])).
% 1.45/0.89 thf(zip_derived_cl512, plain, (((inverse @ identity) = (identity))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl1285, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.89 (((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((X1) != (identity))
% 1.45/0.89 | ((inverse @ X1) != (identity))
% 1.45/0.89 | ((identity) != (identity))
% 1.45/0.89 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X2) != (sk_c8)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl1284, zip_derived_cl512])).
% 1.45/0.89 thf(zip_derived_cl1286, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.89 (((inverse @ X2) != (sk_c8))
% 1.45/0.89 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X1) != (identity))
% 1.45/0.89 | ((X1) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1285])).
% 1.45/0.89 thf(zip_derived_cl1287, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i]:
% 1.45/0.89 (((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((inverse @ identity) != (identity))
% 1.45/0.89 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X1) != (sk_c8)))),
% 1.45/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1286])).
% 1.45/0.89 thf(zip_derived_cl512, plain, (((inverse @ identity) = (identity))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl1288, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i]:
% 1.45/0.89 (((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((identity) != (identity))
% 1.45/0.89 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X1) != (sk_c8)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl1287, zip_derived_cl512])).
% 1.45/0.89 thf(zip_derived_cl1289, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i]:
% 1.45/0.89 (((inverse @ X1) != (sk_c8))
% 1.45/0.89 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1288])).
% 1.45/0.89 thf(zip_derived_cl1290, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i]:
% 1.45/0.89 (((X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X1) != (sk_c8))
% 1.45/0.89 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity)))),
% 1.45/0.89 inference('sup-', [status(thm)], [zip_derived_cl706, zip_derived_cl1289])).
% 1.45/0.89 thf(zip_derived_cl1293, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1290])).
% 1.45/0.89 thf(zip_derived_cl1, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.89 thf(zip_derived_cl1294, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((identity) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl1293, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl1295, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((multiply @ X0 @ sk_c8) != (identity)) | ((inverse @ X0) != (sk_c8)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1294])).
% 1.45/0.89 thf(prove_this_5, conjecture,
% 1.45/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.45/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.45/0.89 thf(zf_stmt_8, negated_conjecture,
% 1.45/0.89 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.45/0.89 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.45/0.89 thf(zip_derived_cl7, plain,
% 1.45/0.89 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.45/0.89 thf(zip_derived_cl1, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.89 thf(zip_derived_cl28, plain,
% 1.45/0.89 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl60, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i]:
% 1.45/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.45/0.89 thf(zip_derived_cl77, plain,
% 1.45/0.89 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl60])).
% 1.45/0.89 thf(zip_derived_cl664, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.45/0.89 thf(zip_derived_cl682, plain,
% 1.45/0.89 ((((sk_c5) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl77, zip_derived_cl664])).
% 1.45/0.89 thf(zip_derived_cl7, plain,
% 1.45/0.89 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.45/0.89 thf(zip_derived_cl682, plain,
% 1.45/0.89 ((((sk_c5) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl77, zip_derived_cl664])).
% 1.45/0.89 thf(zip_derived_cl7, plain,
% 1.45/0.89 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.45/0.89 thf(zip_derived_cl1289, plain,
% 1.45/0.89 (![X0 : $i, X1 : $i]:
% 1.45/0.89 (((inverse @ X1) != (sk_c8))
% 1.45/0.89 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1288])).
% 1.45/0.89 thf(zip_derived_cl1291, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((sk_c8) != (sk_c8))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ sk_c5 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1289])).
% 1.45/0.89 thf(zip_derived_cl1292, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((multiply @ sk_c5 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1291])).
% 1.45/0.89 thf(zip_derived_cl1299, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8)))),
% 1.45/0.89 inference('sup-', [status(thm)], [zip_derived_cl682, zip_derived_cl1292])).
% 1.45/0.89 thf(zip_derived_cl1, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.89 thf(zip_derived_cl1300, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((identity) != (identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (sk_c8)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl1299, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl1301, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((inverse @ X0) != (sk_c8))
% 1.45/0.89 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1300])).
% 1.45/0.89 thf(zip_derived_cl1303, plain,
% 1.45/0.89 ((((sk_c8) != (sk_c8))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((multiply @ sk_c5 @ sk_c8) != (identity)))),
% 1.45/0.89 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1301])).
% 1.45/0.89 thf(zip_derived_cl1304, plain,
% 1.45/0.89 ((((multiply @ sk_c5 @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1303])).
% 1.45/0.89 thf(zip_derived_cl1305, plain,
% 1.45/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) != (identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('sup-', [status(thm)], [zip_derived_cl682, zip_derived_cl1304])).
% 1.45/0.89 thf(zip_derived_cl1, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.89 thf(zip_derived_cl1306, plain,
% 1.45/0.89 ((((identity) != (identity))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8))
% 1.45/0.89 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl1305, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl1307, plain, (((inverse @ sk_c1) = (sk_c8))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1306])).
% 1.45/0.89 thf(zip_derived_cl1307, plain, (((inverse @ sk_c1) = (sk_c8))),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1306])).
% 1.45/0.89 thf(zip_derived_cl1333, plain,
% 1.45/0.89 (![X0 : $i]:
% 1.45/0.89 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.45/0.89 | ((inverse @ X0) != (inverse @ sk_c1)))),
% 1.45/0.89 inference('demod', [status(thm)],
% 1.45/0.89 [zip_derived_cl1295, zip_derived_cl1307, zip_derived_cl1307])).
% 1.45/0.89 thf(zip_derived_cl1335, plain,
% 1.45/0.89 (((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity))),
% 1.45/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1333])).
% 1.45/0.89 thf(zip_derived_cl706, plain,
% 1.45/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl74])).
% 1.45/0.89 thf(zip_derived_cl1, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.45/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 1.45/0.89 thf(zip_derived_cl718, plain,
% 1.45/0.89 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.45/0.89 inference('sup+', [status(thm)], [zip_derived_cl706, zip_derived_cl1])).
% 1.45/0.89 thf(zip_derived_cl1336, plain, (((identity) != (identity))),
% 1.45/0.89 inference('demod', [status(thm)], [zip_derived_cl1335, zip_derived_cl718])).
% 1.45/0.89 thf(zip_derived_cl1337, plain, ($false),
% 1.45/0.89 inference('simplify', [status(thm)], [zip_derived_cl1336])).
% 1.45/0.89
% 1.45/0.89 % SZS output end Refutation
% 1.45/0.89
% 1.45/0.89
% 1.45/0.89 % Terminating...
% 1.67/0.96 % Runner terminated.
% 1.67/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------