TSTP Solution File: GRP364-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP364-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6v6z3RNrej true
% Computer : n029.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 01:51:22 EDT 2023
% Result : Unsatisfiable 0.54s 0.94s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP364-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6v6z3RNrej true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:36:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.94 % Solved by fo/fo7.sh.
% 0.54/0.94 % done 471 iterations in 0.152s
% 0.54/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.94 % SZS output start Refutation
% 0.54/0.94 thf(sk_c2_type, type, sk_c2: $i).
% 0.54/0.94 thf(sk_c8_type, type, sk_c8: $i).
% 0.54/0.94 thf(sk_c3_type, type, sk_c3: $i).
% 0.54/0.94 thf(sk_c5_type, type, sk_c5: $i).
% 0.54/0.94 thf(sk_c6_type, type, sk_c6: $i).
% 0.54/0.94 thf(identity_type, type, identity: $i).
% 0.54/0.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.94 thf(sk_c9_type, type, sk_c9: $i).
% 0.54/0.94 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.94 thf(sk_c4_type, type, sk_c4: $i).
% 0.54/0.94 thf(sk_c1_type, type, sk_c1: $i).
% 0.54/0.94 thf(sk_c7_type, type, sk_c7: $i).
% 0.54/0.94 thf(prove_this_37, conjecture,
% 0.54/0.94 (~( ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ X3 @ sk_c9 ) != ( X2 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ X2 ) != ( sk_c8 ) ) |
% 0.54/0.94 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.94 ( ( inverse @ X6 ) != ( sk_c7 ) ) |
% 0.54/0.94 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c9 ) ) |
% 0.54/0.94 ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ X5 @ sk_c9 ) != ( X4 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ X4 ) != ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c7 @ sk_c9 ) != ( sk_c8 ) ) ))).
% 0.54/0.94 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.94 (( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ X3 @ sk_c9 ) != ( X2 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ X2 ) != ( sk_c8 ) ) |
% 0.54/0.94 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.94 ( ( inverse @ X6 ) != ( sk_c7 ) ) |
% 0.54/0.94 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c9 ) ) |
% 0.54/0.94 ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ X5 @ sk_c9 ) != ( X4 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ X4 ) != ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c7 @ sk_c9 ) != ( sk_c8 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 0.54/0.94 thf(zip_derived_cl39, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (((inverse @ X0) != (sk_c9))
% 0.54/0.94 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.54/0.94 | ((multiply @ sk_c9 @ X1) != (sk_c8))
% 0.54/0.94 | ((inverse @ X2) != (sk_c9))
% 0.54/0.94 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c8) != (sk_c7))
% 0.54/0.94 | ((inverse @ X3) != (sk_c7))
% 0.54/0.94 | ((multiply @ X3 @ sk_c7) != (sk_c9))
% 0.54/0.94 | ((inverse @ X4) != (sk_c9))
% 0.54/0.94 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.54/0.94 | ((multiply @ sk_c9 @ X5) != (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c7 @ sk_c9) != (sk_c8)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.94 thf(zip_derived_cl40, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (((inverse @ X0) != (sk_c9))
% 0.54/0.94 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.54/0.94 | ((multiply @ sk_c9 @ X1) != (multiply @ sk_c7 @ sk_c9))
% 0.54/0.94 | ((inverse @ X2) != (sk_c9))
% 0.54/0.94 | ((multiply @ X2 @ sk_c9) != (multiply @ sk_c7 @ sk_c9))
% 0.54/0.94 | ((multiply @ sk_c9 @ (multiply @ sk_c7 @ sk_c9)) != (sk_c7))
% 0.54/0.94 | ((inverse @ X3) != (sk_c7))
% 0.54/0.94 | ((multiply @ X3 @ sk_c7) != (sk_c9))
% 0.54/0.94 | ((inverse @ X4) != (sk_c9))
% 0.54/0.94 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.54/0.94 | ((multiply @ sk_c9 @ X5) != (multiply @ sk_c7 @ sk_c9))
% 0.54/0.94 | ((multiply @ sk_c7 @ sk_c9) != (sk_c8)))),
% 0.54/0.94 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 0.54/0.94 thf(prove_this_24, conjecture,
% 0.54/0.94 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.94 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.54/0.94 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.94 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.54/0.94 thf(zip_derived_cl26, plain,
% 0.54/0.94 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.94 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl44, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 0.54/0.94 | ((inverse @ sk_c5) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(associativity, axiom,
% 0.54/0.94 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/0.94 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/0.94 thf(zip_derived_cl2, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.94 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.94 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.94 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.94 thf(zip_derived_cl58, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((multiply @ identity @ X0)
% 0.54/0.94 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.94 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/0.94 thf(zip_derived_cl0, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl99, plain,
% 0.54/0.94 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.54/0.94 | ((inverse @ sk_c5) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl76])).
% 0.54/0.94 thf(prove_this_18, conjecture,
% 0.54/0.94 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) ) ))).
% 0.54/0.94 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.94 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.54/0.94 thf(zip_derived_cl20, plain,
% 0.54/0.94 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c2)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.94 thf(zip_derived_cl245, plain,
% 0.54/0.94 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 0.54/0.94 = (sk_c2))
% 0.54/0.94 | ((inverse @ sk_c5) = (sk_c9))
% 0.54/0.94 | ((inverse @ sk_c5) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl20])).
% 0.54/0.94 thf(zip_derived_cl2, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.94 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.94 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.94 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.94 thf(zip_derived_cl0, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl255, plain,
% 0.54/0.94 ((((identity) = (sk_c2))
% 0.54/0.94 | ((inverse @ sk_c5) = (sk_c9))
% 0.54/0.94 | ((inverse @ sk_c5) = (sk_c9)))),
% 0.54/0.94 inference('demod', [status(thm)],
% 0.54/0.94 [zip_derived_cl245, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.94 zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl256, plain,
% 0.54/0.94 ((((inverse @ sk_c5) = (sk_c9)) | ((identity) = (sk_c2)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl255])).
% 0.54/0.94 thf(prove_this_12, conjecture,
% 0.54/0.94 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.54/0.94 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.94 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.54/0.94 thf(zip_derived_cl14, plain,
% 0.54/0.94 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c2) = (sk_c8)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.94 thf(zip_derived_cl260, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.54/0.94 | ((inverse @ sk_c5) = (sk_c9))
% 0.54/0.94 | ((inverse @ sk_c5) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl14])).
% 0.54/0.94 thf(zip_derived_cl263, plain,
% 0.54/0.94 ((((inverse @ sk_c5) = (sk_c9))
% 0.54/0.94 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl260])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl272, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c5) = (identity))
% 0.54/0.94 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl263, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl330, plain,
% 0.54/0.94 ((((sk_c5) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.54/0.94 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl272, zip_derived_cl76])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl88, plain,
% 0.54/0.94 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl85, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl76])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl511, plain,
% 0.54/0.94 ((((sk_c5) = (inverse @ sk_c9)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('demod', [status(thm)],
% 0.54/0.94 [zip_derived_cl330, zip_derived_cl470, zip_derived_cl470])).
% 0.54/0.94 thf(prove_this_23, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.54/0.94 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.54/0.94 thf(zf_stmt_4, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.54/0.94 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.54/0.94 thf(zip_derived_cl25, plain,
% 0.54/0.94 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl88, plain,
% 0.54/0.94 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 0.54/0.94 thf(zip_derived_cl520, plain,
% 0.54/0.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl88])).
% 0.54/0.94 thf(zip_derived_cl661, plain,
% 0.54/0.94 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl520])).
% 0.54/0.94 thf(prove_this_17, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) ) ))).
% 0.54/0.94 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.54/0.94 thf(zip_derived_cl19, plain,
% 0.54/0.94 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.54/0.94 | ((multiply @ sk_c1 @ sk_c9) = (sk_c2)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.94 thf(zip_derived_cl1814, plain,
% 0.54/0.94 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c2))
% 0.54/0.94 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.54/0.94 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl661, zip_derived_cl19])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl1820, plain,
% 0.54/0.94 ((((identity) = (sk_c2))
% 0.54/0.94 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.54/0.94 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl1814, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl1821, plain,
% 0.54/0.94 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6)) | ((identity) = (sk_c2)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl1820])).
% 0.54/0.94 thf(prove_this_11, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.54/0.94 thf(zf_stmt_6, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.54/0.94 thf(zip_derived_cl13, plain,
% 0.54/0.94 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c2) = (sk_c8)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/0.94 thf(zip_derived_cl1826, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.54/0.94 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl1821, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl1838, plain,
% 0.54/0.94 ((((sk_c9) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.54/0.94 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl1826, zip_derived_cl470])).
% 0.54/0.94 thf(zip_derived_cl1839, plain,
% 0.54/0.94 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl1838])).
% 0.54/0.94 thf(zip_derived_cl1849, plain,
% 0.54/0.94 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c6))
% 0.54/0.94 | ((sk_c9) = (sk_c8))
% 0.54/0.94 | ((sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl511, zip_derived_cl1839])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl1853, plain,
% 0.54/0.94 ((((identity) = (sk_c6)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl1849, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl1854, plain,
% 0.54/0.94 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c6)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl1853])).
% 0.54/0.94 thf(prove_this_22, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.54/0.94 thf(zf_stmt_7, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.54/0.94 thf(zip_derived_cl24, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c6) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/0.94 thf(zip_derived_cl88, plain,
% 0.54/0.94 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 0.54/0.94 thf(zip_derived_cl359, plain,
% 0.54/0.94 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl88])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl514, plain,
% 0.54/0.94 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl359, zip_derived_cl470])).
% 0.54/0.94 thf(prove_this_16, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) ) ))).
% 0.54/0.94 thf(zf_stmt_8, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.54/0.94 thf(zip_derived_cl18, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c1 @ sk_c9) = (sk_c2)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/0.94 thf(zip_derived_cl1761, plain,
% 0.54/0.94 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c2))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl514, zip_derived_cl18])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl1767, plain,
% 0.54/0.94 ((((identity) = (sk_c2))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl1761, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl1768, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c6) = (sk_c8)) | ((identity) = (sk_c2)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl1767])).
% 0.54/0.94 thf(prove_this_10, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.54/0.94 thf(zf_stmt_9, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.54/0.94 thf(zip_derived_cl12, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c2) = (sk_c8)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/0.94 thf(zip_derived_cl1773, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl1768, zip_derived_cl12])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl1785, plain,
% 0.54/0.94 ((((sk_c9) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl1773, zip_derived_cl470])).
% 0.54/0.94 thf(zip_derived_cl1786, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c6) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl1785])).
% 0.54/0.94 thf(zip_derived_cl1861, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.54/0.94 | ((sk_c9) = (sk_c8))
% 0.54/0.94 | ((sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl1854, zip_derived_cl1786])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl1866, plain,
% 0.54/0.94 ((((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl1861, zip_derived_cl470])).
% 0.54/0.94 thf(zip_derived_cl1867, plain, (((sk_c9) = (sk_c8))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl1866])).
% 0.54/0.94 thf(zip_derived_cl1890, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (((inverse @ X0) != (sk_c9))
% 0.54/0.94 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.54/0.94 | ((multiply @ sk_c9 @ X1) != (multiply @ sk_c7 @ sk_c9))
% 0.54/0.94 | ((inverse @ X2) != (sk_c9))
% 0.54/0.94 | ((multiply @ X2 @ sk_c9) != (multiply @ sk_c7 @ sk_c9))
% 0.54/0.94 | ((multiply @ sk_c9 @ (multiply @ sk_c7 @ sk_c9)) != (sk_c7))
% 0.54/0.94 | ((inverse @ X3) != (sk_c7))
% 0.54/0.94 | ((multiply @ X3 @ sk_c7) != (sk_c9))
% 0.54/0.94 | ((inverse @ X4) != (sk_c9))
% 0.54/0.94 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.54/0.94 | ((multiply @ sk_c9 @ X5) != (multiply @ sk_c7 @ sk_c9))
% 0.54/0.94 | ((multiply @ sk_c7 @ sk_c9) != (sk_c9)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl1867])).
% 0.54/0.94 thf(zip_derived_cl1891, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (((inverse @ X0) != (sk_c9))
% 0.54/0.94 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.54/0.94 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 0.54/0.94 | ((inverse @ X2) != (sk_c9))
% 0.54/0.94 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 0.54/0.94 | ((multiply @ sk_c9 @ sk_c9) != (sk_c7))
% 0.54/0.94 | ((inverse @ X3) != (sk_c7))
% 0.54/0.94 | ((multiply @ X3 @ sk_c7) != (sk_c9))
% 0.54/0.94 | ((inverse @ X4) != (sk_c9))
% 0.54/0.94 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.54/0.94 | ((multiply @ sk_c9 @ X5) != (sk_c9))
% 0.54/0.94 | ((multiply @ sk_c7 @ sk_c9) != (sk_c9)))),
% 0.54/0.94 inference('local_rewriting', [status(thm)], [zip_derived_cl1890])).
% 0.54/0.94 thf(prove_this_33, conjecture,
% 0.54/0.94 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 0.54/0.94 ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.54/0.94 thf(zf_stmt_10, negated_conjecture,
% 0.54/0.94 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c7 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 0.54/0.94 thf(zip_derived_cl35, plain,
% 0.54/0.94 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl45, plain,
% 0.54/0.94 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.54/0.94 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl90, plain,
% 0.54/0.94 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.94 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl76])).
% 0.54/0.94 thf(prove_this_27, conjecture,
% 0.54/0.94 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c9 ) ) ))).
% 0.54/0.94 thf(zf_stmt_11, negated_conjecture,
% 0.54/0.94 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c9 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.54/0.94 thf(zip_derived_cl29, plain,
% 0.54/0.94 ((((inverse @ sk_c4) = (sk_c9)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c9)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/0.94 thf(zip_derived_cl124, plain,
% 0.54/0.94 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.94 = (sk_c9))
% 0.54/0.94 | ((inverse @ sk_c4) = (sk_c9))
% 0.54/0.94 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl29])).
% 0.54/0.94 thf(zip_derived_cl2, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.94 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.94 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.94 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.94 thf(zip_derived_cl0, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl134, plain,
% 0.54/0.94 ((((identity) = (sk_c9))
% 0.54/0.94 | ((inverse @ sk_c4) = (sk_c9))
% 0.54/0.94 | ((inverse @ sk_c4) = (sk_c9)))),
% 0.54/0.94 inference('demod', [status(thm)],
% 0.54/0.94 [zip_derived_cl124, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.94 zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl135, plain,
% 0.54/0.94 ((((inverse @ sk_c4) = (sk_c9)) | ((identity) = (sk_c9)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl139, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c4) = (identity)) | ((identity) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl142, plain,
% 0.54/0.94 ((((sk_c4) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.54/0.94 | ((identity) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl76])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl500, plain,
% 0.54/0.94 ((((sk_c4) = (inverse @ sk_c9)) | ((identity) = (sk_c9)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl470])).
% 0.54/0.94 thf(prove_this_32, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.54/0.94 thf(zf_stmt_12, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( inverse @ sk_c3 ) = ( sk_c7 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 0.54/0.94 thf(zip_derived_cl34, plain,
% 0.54/0.94 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl52, plain,
% 0.54/0.94 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.54/0.94 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl286, plain,
% 0.54/0.94 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.94 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl76])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl509, plain,
% 0.54/0.94 ((((sk_c3) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl470])).
% 0.54/0.94 thf(zip_derived_cl1867, plain, (((sk_c9) = (sk_c8))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl1866])).
% 0.54/0.94 thf(zip_derived_cl1913, plain,
% 0.54/0.94 ((((sk_c3) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c9) = (sk_c9)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl509, zip_derived_cl1867])).
% 0.54/0.94 thf(prove_this_26, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c9 ) ) ))).
% 0.54/0.94 thf(zf_stmt_13, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c9 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.54/0.94 thf(zip_derived_cl28, plain,
% 0.54/0.94 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 0.54/0.94 | ((multiply @ sk_c3 @ sk_c7) = (sk_c9)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/0.94 thf(zip_derived_cl1867, plain, (((sk_c9) = (sk_c8))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl1866])).
% 0.54/0.94 thf(zip_derived_cl2383, plain,
% 0.54/0.94 ((((multiply @ sk_c4 @ sk_c9) = (sk_c9))
% 0.54/0.94 | ((multiply @ sk_c3 @ sk_c7) = (sk_c9)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl1867])).
% 0.54/0.94 thf(zip_derived_cl2392, plain,
% 0.54/0.94 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c9))
% 0.54/0.94 | ((multiply @ sk_c4 @ sk_c9) = (sk_c9))
% 0.54/0.94 | ((multiply @ sk_c4 @ sk_c9) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl1913, zip_derived_cl2383])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl2398, plain,
% 0.54/0.94 ((((identity) = (sk_c9))
% 0.54/0.94 | ((multiply @ sk_c4 @ sk_c9) = (sk_c9))
% 0.54/0.94 | ((multiply @ sk_c4 @ sk_c9) = (sk_c9)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl2392, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl2399, plain,
% 0.54/0.94 ((((multiply @ sk_c4 @ sk_c9) = (sk_c9)) | ((identity) = (sk_c9)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2398])).
% 0.54/0.94 thf(zip_derived_cl2405, plain,
% 0.54/0.94 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c9))
% 0.54/0.94 | ((identity) = (sk_c9))
% 0.54/0.94 | ((identity) = (sk_c9)))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl2399])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.94 thf(zip_derived_cl2407, plain,
% 0.54/0.94 ((((identity) = (sk_c9))
% 0.54/0.94 | ((identity) = (sk_c9))
% 0.54/0.94 | ((identity) = (sk_c9)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl2405, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl0, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl0, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl0, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.94 thf(zip_derived_cl2460, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (((inverse @ X0) != (identity))
% 0.54/0.94 | ((X0) != (X1))
% 0.54/0.94 | ((X1) != (identity))
% 0.54/0.94 | ((inverse @ X2) != (identity))
% 0.54/0.94 | ((X2) != (identity))
% 0.54/0.94 | ((identity) != (sk_c7))
% 0.54/0.94 | ((inverse @ X3) != (sk_c7))
% 0.54/0.94 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.54/0.94 | ((inverse @ X4) != (identity))
% 0.54/0.94 | ((X4) != (X5))
% 0.54/0.94 | ((X5) != (identity))
% 0.54/0.94 | ((sk_c7) != (identity)))),
% 0.54/0.94 inference('demod', [status(thm)],
% 0.54/0.94 [zip_derived_cl1891, zip_derived_cl2408, zip_derived_cl2408,
% 0.54/0.94 zip_derived_cl470, zip_derived_cl2408, zip_derived_cl0,
% 0.54/0.94 zip_derived_cl2408, zip_derived_cl2408, zip_derived_cl2408,
% 0.54/0.94 zip_derived_cl470, zip_derived_cl2408, zip_derived_cl2408,
% 0.54/0.94 zip_derived_cl2408, zip_derived_cl0, zip_derived_cl2408,
% 0.54/0.94 zip_derived_cl2408, zip_derived_cl2408, zip_derived_cl470,
% 0.54/0.94 zip_derived_cl2408, zip_derived_cl0, zip_derived_cl2408,
% 0.54/0.94 zip_derived_cl2408, zip_derived_cl470, zip_derived_cl2408])).
% 0.54/0.94 thf(zip_derived_cl2461, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (((X5) != (identity))
% 0.54/0.94 | ((X4) != (X5))
% 0.54/0.94 | ((inverse @ X4) != (identity))
% 0.54/0.94 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.54/0.94 | ((inverse @ X3) != (sk_c7))
% 0.54/0.94 | ((identity) != (sk_c7))
% 0.54/0.94 | ((X2) != (identity))
% 0.54/0.94 | ((inverse @ X2) != (identity))
% 0.54/0.94 | ((X1) != (identity))
% 0.54/0.94 | ((X0) != (X1))
% 0.54/0.94 | ((inverse @ X0) != (identity)))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl2460])).
% 0.54/0.94 thf(zip_derived_cl2462, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (((X5) != (identity))
% 0.54/0.94 | ((X4) != (X5))
% 0.54/0.94 | ((inverse @ X4) != (identity))
% 0.54/0.94 | ((multiply @ X3 @ identity) != (identity))
% 0.54/0.94 | ((inverse @ X3) != (identity))
% 0.54/0.94 | ((identity) != (sk_c7))
% 0.54/0.94 | ((X2) != (identity))
% 0.54/0.94 | ((inverse @ X2) != (identity))
% 0.54/0.94 | ((X1) != (identity))
% 0.54/0.94 | ((X0) != (X1))
% 0.54/0.94 | ((inverse @ X0) != (identity)))),
% 0.54/0.94 inference('local_rewriting', [status(thm)], [zip_derived_cl2461])).
% 0.54/0.94 thf(zip_derived_cl470, plain,
% 0.54/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.94 thf(zip_derived_cl2463, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (((X5) != (identity))
% 0.54/0.94 | ((X4) != (X5))
% 0.54/0.94 | ((inverse @ X4) != (identity))
% 0.54/0.94 | ((X3) != (identity))
% 0.54/0.94 | ((inverse @ X3) != (identity))
% 0.54/0.94 | ((identity) != (sk_c7))
% 0.54/0.94 | ((X2) != (identity))
% 0.54/0.94 | ((inverse @ X2) != (identity))
% 0.54/0.94 | ((X1) != (identity))
% 0.54/0.94 | ((X0) != (X1))
% 0.54/0.94 | ((inverse @ X0) != (identity)))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl2462, zip_derived_cl470])).
% 0.54/0.94 thf(prove_this_1, conjecture,
% 0.54/0.94 (~( ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c7 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 0.54/0.94 thf(zf_stmt_14, negated_conjecture,
% 0.54/0.94 (( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.94 ( ( multiply @ sk_c7 @ sk_c9 ) = ( sk_c8 ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.54/0.94 thf(zip_derived_cl3, plain,
% 0.54/0.94 ((((multiply @ sk_c9 @ sk_c8) = (sk_c7))
% 0.54/0.94 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.54/0.94 thf(zip_derived_cl76, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl92, plain,
% 0.54/0.95 ((((sk_c8) = (multiply @ (inverse @ sk_c9) @ sk_c7))
% 0.54/0.95 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl76])).
% 0.54/0.95 thf(zip_derived_cl190, plain,
% 0.54/0.95 ((((multiply @ (inverse @ sk_c9) @ sk_c7) != (multiply @ sk_c7 @ sk_c9))
% 0.54/0.95 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.54/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl92])).
% 0.54/0.95 thf(zip_derived_cl1867, plain, (((sk_c9) = (sk_c8))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1866])).
% 0.54/0.95 thf(zip_derived_cl1902, plain,
% 0.54/0.95 ((((multiply @ (inverse @ sk_c9) @ sk_c7) != (multiply @ sk_c7 @ sk_c9))
% 0.54/0.95 | ((multiply @ sk_c7 @ sk_c9) = (sk_c9)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl1867])).
% 0.54/0.95 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl76, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl87, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl76])).
% 0.54/0.95 thf(zip_derived_cl76, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl122, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl76])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.95 thf(zip_derived_cl470, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.95 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.95 thf(zip_derived_cl470, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 0.54/0.95 thf(zip_derived_cl2408, plain, (((identity) = (sk_c9))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2407])).
% 0.54/0.95 thf(zip_derived_cl2465, plain,
% 0.54/0.95 ((((sk_c7) != (sk_c7)) | ((sk_c7) = (identity)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl1902, zip_derived_cl2408, zip_derived_cl457,
% 0.54/0.95 zip_derived_cl0, zip_derived_cl2408, zip_derived_cl470,
% 0.54/0.95 zip_derived_cl2408, zip_derived_cl470, zip_derived_cl2408])).
% 0.54/0.95 thf(zip_derived_cl2466, plain, (((sk_c7) = (identity))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2465])).
% 0.54/0.95 thf(zip_derived_cl2513, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.95 (((X5) != (identity))
% 0.54/0.95 | ((X4) != (X5))
% 0.54/0.95 | ((inverse @ X4) != (identity))
% 0.54/0.95 | ((X3) != (identity))
% 0.54/0.95 | ((inverse @ X3) != (identity))
% 0.54/0.95 | ((identity) != (identity))
% 0.54/0.95 | ((X2) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((X0) != (X1))
% 0.54/0.95 | ((inverse @ X0) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl2463, zip_derived_cl2466])).
% 0.54/0.95 thf(zip_derived_cl2514, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.95 (((inverse @ X0) != (identity))
% 0.54/0.95 | ((X0) != (X1))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((X2) != (identity))
% 0.54/0.95 | ((inverse @ X3) != (identity))
% 0.54/0.95 | ((X3) != (identity))
% 0.54/0.95 | ((inverse @ X4) != (identity))
% 0.54/0.95 | ((X4) != (X5))
% 0.54/0.95 | ((X5) != (identity)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2513])).
% 0.54/0.95 thf(zip_derived_cl2515, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((X1) != (X0))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((X2) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((X3) != (identity))
% 0.54/0.95 | ((inverse @ X3) != (identity))
% 0.54/0.95 | ((X4) != (identity))
% 0.54/0.95 | ((inverse @ X4) != (identity)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl2514])).
% 0.54/0.95 thf(zip_derived_cl2516, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.95 (((inverse @ X0) != (identity))
% 0.54/0.95 | ((X0) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((X2) != (identity))
% 0.54/0.95 | ((inverse @ X3) != (identity))
% 0.54/0.95 | ((X3) != (identity)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl2515])).
% 0.54/0.95 thf(zip_derived_cl2517, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((X2) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((inverse @ identity) != (identity)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl2516])).
% 0.54/0.95 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl2518, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((X2) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((identity) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl2517, zip_derived_cl457])).
% 0.54/0.95 thf(zip_derived_cl2519, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 (((inverse @ X2) != (identity))
% 0.54/0.95 | ((X2) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X0) != (identity)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2518])).
% 0.54/0.95 thf(zip_derived_cl2520, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((inverse @ identity) != (identity)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl2519])).
% 0.54/0.95 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl2521, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((identity) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl2520, zip_derived_cl457])).
% 0.54/0.95 thf(zip_derived_cl2522, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 (((inverse @ X1) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X0) != (identity)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2521])).
% 0.54/0.95 thf(zip_derived_cl2523, plain,
% 0.54/0.95 (![X0 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((inverse @ identity) != (identity)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl2522])).
% 0.54/0.95 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl2524, plain,
% 0.54/0.95 (![X0 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((identity) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl2523, zip_derived_cl457])).
% 0.54/0.95 thf(zip_derived_cl2525, plain,
% 0.54/0.95 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2524])).
% 0.54/0.95 thf(zip_derived_cl2551, plain, (((inverse @ identity) != (identity))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl2525])).
% 0.54/0.95 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl2552, plain, (((identity) != (identity))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl2551, zip_derived_cl457])).
% 0.54/0.95 thf(zip_derived_cl2553, plain, ($false),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl2552])).
% 0.54/0.95
% 0.54/0.95 % SZS output end Refutation
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 % Terminating...
% 0.59/1.04 % Runner terminated.
% 1.65/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------