TSTP Solution File: GRP259-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP259-1 : 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.9YqWosg0Bw 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 01:50:56 EDT 2023
% Result : Unsatisfiable 1.35s 1.01s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP259-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9YqWosg0Bw true
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 29 01:06:38 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.19/0.63 % Total configuration time : 435
% 0.19/0.63 % Estimated wc time : 1092
% 0.19/0.63 % Estimated cpu time (7 cpus) : 156.0
% 1.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.19/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.35/1.01 % Solved by fo/fo7.sh.
% 1.35/1.01 % done 291 iterations in 0.226s
% 1.35/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/1.01 % SZS output start Refutation
% 1.35/1.01 thf(sk_c2_type, type, sk_c2: $i).
% 1.35/1.01 thf(sk_c7_type, type, sk_c7: $i).
% 1.35/1.01 thf(sk_c5_type, type, sk_c5: $i).
% 1.35/1.01 thf(sk_c4_type, type, sk_c4: $i).
% 1.35/1.01 thf(identity_type, type, identity: $i).
% 1.35/1.01 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.35/1.01 thf(sk_c8_type, type, sk_c8: $i).
% 1.35/1.01 thf(inverse_type, type, inverse: $i > $i).
% 1.35/1.01 thf(sk_c6_type, type, sk_c6: $i).
% 1.35/1.01 thf(sk_c3_type, type, sk_c3: $i).
% 1.35/1.01 thf(prove_this_36, conjecture,
% 1.35/1.01 (~( ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.35/1.01 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.35/1.01 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.35/1.01 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 1.35/1.01 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 1.35/1.01 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.35/1.01 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.35/1.01 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.35/1.01 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 1.35/1.01 thf(zf_stmt_0, negated_conjecture,
% 1.35/1.01 (( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.35/1.01 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.35/1.01 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.35/1.01 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 1.35/1.01 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 1.35/1.01 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.35/1.01 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.35/1.01 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.35/1.01 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 1.35/1.01 thf(zip_derived_cl38, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.01 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.35/1.01 | ((inverse @ X0) != (sk_c7))
% 1.35/1.01 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.35/1.01 | ((inverse @ X1) != (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 1.35/1.01 | ((inverse @ X2) != (sk_c6))
% 1.35/1.01 | ((multiply @ X2 @ sk_c6) != (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c6 @ sk_c8) != (sk_c7))
% 1.35/1.01 | ((inverse @ X3) != (sk_c7))
% 1.35/1.01 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 1.35/1.01 | ((inverse @ X4) != (sk_c8))
% 1.35/1.01 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/1.01 thf(zip_derived_cl39, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.01 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 1.35/1.01 | ((inverse @ X0) != (sk_c7))
% 1.35/1.01 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.35/1.01 | ((inverse @ X1) != (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 1.35/1.01 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c8))
% 1.35/1.01 | ((multiply @ X2 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c8))
% 1.35/1.01 | ((multiply @ (multiply @ sk_c7 @ sk_c8) @ sk_c8) != (sk_c7))
% 1.35/1.01 | ((inverse @ X3) != (sk_c7))
% 1.35/1.01 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 1.35/1.01 | ((inverse @ X4) != (sk_c8))
% 1.35/1.01 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 1.35/1.01 inference('local_rewriting', [status(thm)], [zip_derived_cl38])).
% 1.35/1.01 thf(associativity, axiom,
% 1.35/1.01 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.35/1.01 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.35/1.01 thf(zip_derived_cl2, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.01 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.01 thf(zip_derived_cl88, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.01 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 1.35/1.01 | ((inverse @ X0) != (sk_c7))
% 1.35/1.01 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.35/1.01 | ((inverse @ X1) != (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 1.35/1.01 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c8))
% 1.35/1.01 | ((multiply @ X2 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c7 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c7))
% 1.35/1.01 | ((inverse @ X3) != (sk_c7))
% 1.35/1.01 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 1.35/1.01 | ((inverse @ X4) != (sk_c8))
% 1.35/1.01 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl2])).
% 1.35/1.01 thf(prove_this_32, conjecture,
% 1.35/1.01 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.35/1.01 thf(zf_stmt_1, negated_conjecture,
% 1.35/1.01 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 1.35/1.01 thf(zip_derived_cl34, plain,
% 1.35/1.01 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/1.01 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl52, plain,
% 1.35/1.01 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl2, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.01 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.01 thf(zip_derived_cl92, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((multiply @ identity @ X0)
% 1.35/1.01 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.35/1.01 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.35/1.01 thf(zip_derived_cl0, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl162, plain,
% 1.35/1.01 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl126])).
% 1.35/1.01 thf(prove_this_27, conjecture,
% 1.35/1.01 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 1.35/1.01 thf(zf_stmt_2, negated_conjecture,
% 1.35/1.01 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.35/1.01 thf(zip_derived_cl29, plain,
% 1.35/1.01 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c8)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.35/1.01 thf(zip_derived_cl345, plain,
% 1.35/1.01 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.35/1.01 = (sk_c8))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl29])).
% 1.35/1.01 thf(zip_derived_cl2, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.01 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.01 thf(zip_derived_cl0, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl360, plain,
% 1.35/1.01 ((((identity) = (sk_c8))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl345, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.01 zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl361, plain,
% 1.35/1.01 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl360])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl147, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl402, plain,
% 1.35/1.01 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.35/1.01 | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl361, zip_derived_cl147])).
% 1.35/1.01 thf(zip_derived_cl147, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl144, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl634, plain,
% 1.35/1.01 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl402, zip_derived_cl598])).
% 1.35/1.01 thf(prove_this_34, conjecture,
% 1.35/1.01 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.35/1.01 thf(zf_stmt_3, negated_conjecture,
% 1.35/1.01 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 1.35/1.01 thf(zip_derived_cl36, plain,
% 1.35/1.01 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl53, plain,
% 1.35/1.01 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 1.35/1.01 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl163, plain,
% 1.35/1.01 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/1.01 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl126])).
% 1.35/1.01 thf(prove_this_29, conjecture,
% 1.35/1.01 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 1.35/1.01 thf(zf_stmt_4, negated_conjecture,
% 1.35/1.01 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.35/1.01 thf(zip_derived_cl31, plain,
% 1.35/1.01 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c8)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.35/1.01 thf(zip_derived_cl370, plain,
% 1.35/1.01 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.35/1.01 = (sk_c8))
% 1.35/1.01 | ((inverse @ sk_c5) = (sk_c7))
% 1.35/1.01 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl31])).
% 1.35/1.01 thf(zip_derived_cl2, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.01 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.01 thf(zip_derived_cl0, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl385, plain,
% 1.35/1.01 ((((identity) = (sk_c8))
% 1.35/1.01 | ((inverse @ sk_c5) = (sk_c7))
% 1.35/1.01 | ((inverse @ sk_c5) = (sk_c7)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl370, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.01 zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl386, plain,
% 1.35/1.01 ((((inverse @ sk_c5) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl385])).
% 1.35/1.01 thf(prove_this_35, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.35/1.01 thf(zf_stmt_5, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 1.35/1.01 thf(zip_derived_cl37, plain,
% 1.35/1.01 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl147, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl643, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl598, zip_derived_cl147])).
% 1.35/1.01 thf(zip_derived_cl672, plain,
% 1.35/1.01 ((((sk_c3) = (inverse @ sk_c6)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl643])).
% 1.35/1.01 thf(prove_this_30, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 1.35/1.01 thf(zf_stmt_6, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.35/1.01 thf(zip_derived_cl32, plain,
% 1.35/1.01 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.35/1.01 | ((multiply @ sk_c3 @ sk_c6) = (sk_c8)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.35/1.01 thf(zip_derived_cl1264, plain,
% 1.35/1.01 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.35/1.01 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl672, zip_derived_cl32])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl1279, plain,
% 1.35/1.01 ((((identity) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.35/1.01 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl1264, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1280, plain,
% 1.35/1.01 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1279])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl1365, plain,
% 1.35/1.01 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c7))
% 1.35/1.01 | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1280, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl1566, plain,
% 1.35/1.01 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.01 | ((identity) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl1365])).
% 1.35/1.01 thf(zip_derived_cl1573, plain,
% 1.35/1.01 ((((identity) = (sk_c8)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1566])).
% 1.35/1.01 thf(prove_this_31, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.35/1.01 thf(zf_stmt_7, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.35/1.01 thf(zip_derived_cl33, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl51, plain,
% 1.35/1.01 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl161, plain,
% 1.35/1.01 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl629, plain,
% 1.35/1.01 ((((sk_c3) = (inverse @ sk_c6)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl598])).
% 1.35/1.01 thf(prove_this_26, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 1.35/1.01 thf(zf_stmt_8, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.35/1.01 thf(zip_derived_cl28, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c3 @ sk_c6) = (sk_c8)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.35/1.01 thf(zip_derived_cl908, plain,
% 1.35/1.01 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl629, zip_derived_cl28])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl923, plain,
% 1.35/1.01 ((((identity) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl908, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl924, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl923])).
% 1.35/1.01 thf(zip_derived_cl1599, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.01 | ((identity) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1573, zip_derived_cl924])).
% 1.35/1.01 thf(zip_derived_cl1607, plain,
% 1.35/1.01 ((((identity) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (multiply @ sk_c7 @ sk_c7)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1599])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl1623, plain,
% 1.35/1.01 ((((sk_c7) = (multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ sk_c8)))
% 1.35/1.01 | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1607, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl1625, plain,
% 1.35/1.01 ((((sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl1623, zip_derived_cl126])).
% 1.35/1.01 thf(prove_this_33, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.35/1.01 thf(zf_stmt_9, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 1.35/1.01 thf(zip_derived_cl35, plain,
% 1.35/1.01 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c6)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.35/1.01 thf(zip_derived_cl643, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl598, zip_derived_cl147])).
% 1.35/1.01 thf(zip_derived_cl670, plain,
% 1.35/1.01 ((((sk_c3) = (inverse @ sk_c6)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl643])).
% 1.35/1.01 thf(prove_this_28, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 1.35/1.01 thf(zf_stmt_10, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.35/1.01 thf(zip_derived_cl30, plain,
% 1.35/1.01 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c3 @ sk_c6) = (sk_c8)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.35/1.01 thf(zip_derived_cl1198, plain,
% 1.35/1.01 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl670, zip_derived_cl30])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl1213, plain,
% 1.35/1.01 ((((identity) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl1198, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1214, plain,
% 1.35/1.01 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1213])).
% 1.35/1.01 thf(zip_derived_cl1651, plain,
% 1.35/1.01 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1625, zip_derived_cl1214])).
% 1.35/1.01 thf(zip_derived_cl1655, plain,
% 1.35/1.01 ((((identity) = (sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1651])).
% 1.35/1.01 thf(zip_derived_cl1811, plain,
% 1.35/1.01 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl634, zip_derived_cl1655])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl1819, plain,
% 1.35/1.01 ((((identity) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c8)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl1811, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl0, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1868, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.01 (((multiply @ X0 @ sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X0) != (sk_c7))
% 1.35/1.01 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((sk_c7) != (sk_c6))
% 1.35/1.01 | ((inverse @ X2) != (sk_c7))
% 1.35/1.01 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.35/1.01 | ((sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X3) != (sk_c7))
% 1.35/1.01 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X4) != (identity))
% 1.35/1.01 | ((X4) != (sk_c7)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl88, zip_derived_cl1820, zip_derived_cl598,
% 1.35/1.01 zip_derived_cl1820, zip_derived_cl1820, zip_derived_cl1820,
% 1.35/1.01 zip_derived_cl598, zip_derived_cl1820, zip_derived_cl598,
% 1.35/1.01 zip_derived_cl1820, zip_derived_cl598, zip_derived_cl1820,
% 1.35/1.01 zip_derived_cl1820, zip_derived_cl1820, zip_derived_cl0,
% 1.35/1.01 zip_derived_cl598, zip_derived_cl1820, zip_derived_cl598,
% 1.35/1.01 zip_derived_cl1820, zip_derived_cl1820, zip_derived_cl598])).
% 1.35/1.01 thf(zip_derived_cl1869, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.01 (((X4) != (sk_c7))
% 1.35/1.01 | ((inverse @ X4) != (identity))
% 1.35/1.01 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X3) != (sk_c7))
% 1.35/1.01 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X2) != (sk_c7))
% 1.35/1.01 | ((sk_c7) != (sk_c6))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (sk_c7))
% 1.35/1.01 | ((multiply @ X0 @ sk_c7) != (sk_c7)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1868])).
% 1.35/1.01 thf(prove_this_21, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.35/1.01 thf(zf_stmt_11, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.35/1.01 thf(zip_derived_cl23, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1842, plain, ((((sk_c7) = (sk_c6)) | ((sk_c6) = (sk_c7)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl23, zip_derived_cl1820, zip_derived_cl598,
% 1.35/1.01 zip_derived_cl1820, zip_derived_cl598])).
% 1.35/1.01 thf(zip_derived_cl1843, plain, (((sk_c7) = (sk_c6))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1842])).
% 1.35/1.01 thf(zip_derived_cl1941, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.01 (((X4) != (sk_c7))
% 1.35/1.01 | ((inverse @ X4) != (identity))
% 1.35/1.01 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X3) != (sk_c7))
% 1.35/1.01 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X2) != (sk_c7))
% 1.35/1.01 | ((sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (sk_c7))
% 1.35/1.01 | ((multiply @ X0 @ sk_c7) != (sk_c7)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1869, zip_derived_cl1843])).
% 1.35/1.01 thf(zip_derived_cl1942, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.01 (((multiply @ X0 @ sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X0) != (sk_c7))
% 1.35/1.01 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((inverse @ X2) != (sk_c7))
% 1.35/1.01 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X3) != (sk_c7))
% 1.35/1.01 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X4) != (identity))
% 1.35/1.01 | ((X4) != (sk_c7)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1941])).
% 1.35/1.01 thf(zip_derived_cl1943, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.01 (((inverse @ sk_c7) != (identity))
% 1.35/1.01 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 1.35/1.01 | ((inverse @ X0) != (sk_c7))
% 1.35/1.01 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (sk_c7))
% 1.35/1.01 | ((inverse @ X2) != (identity))
% 1.35/1.01 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.35/1.01 | ((inverse @ X3) != (sk_c7))
% 1.35/1.01 | ((multiply @ X3 @ sk_c7) != (sk_c7)))),
% 1.35/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1942])).
% 1.35/1.01 thf(zip_derived_cl1843, plain, (((sk_c7) = (sk_c6))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1842])).
% 1.35/1.01 thf(prove_this_17, conjecture,
% 1.35/1.01 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.35/1.01 thf(zf_stmt_12, negated_conjecture,
% 1.35/1.01 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.35/1.01 thf(zip_derived_cl19, plain,
% 1.35/1.01 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl49, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl156, plain,
% 1.35/1.01 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl126])).
% 1.35/1.01 thf(prove_this_12, conjecture,
% 1.35/1.01 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.01 thf(zf_stmt_13, negated_conjecture,
% 1.35/1.01 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.35/1.01 thf(zip_derived_cl14, plain,
% 1.35/1.01 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.35/1.01 thf(zip_derived_cl317, plain,
% 1.35/1.01 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.35/1.01 = (sk_c6))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl14])).
% 1.35/1.01 thf(zip_derived_cl2, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.01 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.01 thf(zip_derived_cl0, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl332, plain,
% 1.35/1.01 ((((identity) = (sk_c6))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8))
% 1.35/1.01 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl317, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.01 zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl333, plain,
% 1.35/1.01 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl332])).
% 1.35/1.01 thf(zip_derived_cl147, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl340, plain,
% 1.35/1.01 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.35/1.01 | ((identity) = (sk_c6)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl333, zip_derived_cl147])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl632, plain,
% 1.35/1.01 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c6)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl340, zip_derived_cl598])).
% 1.35/1.01 thf(prove_this_18, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.35/1.01 thf(zf_stmt_14, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.35/1.01 thf(zip_derived_cl20, plain,
% 1.35/1.01 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.35/1.01 thf(zip_derived_cl643, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl598, zip_derived_cl147])).
% 1.35/1.01 thf(zip_derived_cl665, plain,
% 1.35/1.01 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl643])).
% 1.35/1.01 thf(prove_this_13, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.01 thf(zf_stmt_15, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.35/1.01 thf(zip_derived_cl15, plain,
% 1.35/1.01 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.35/1.01 thf(zip_derived_cl1093, plain,
% 1.35/1.01 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl665, zip_derived_cl15])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl1108, plain,
% 1.35/1.01 ((((identity) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.35/1.01 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl1093, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1109, plain,
% 1.35/1.01 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1108])).
% 1.35/1.01 thf(zip_derived_cl1317, plain,
% 1.35/1.01 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 1.35/1.01 | ((identity) = (sk_c6))
% 1.35/1.01 | ((identity) = (sk_c6)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl1109])).
% 1.35/1.01 thf(zip_derived_cl1320, plain,
% 1.35/1.01 ((((identity) = (sk_c6))
% 1.35/1.01 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1317])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl0, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl146, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl199, plain,
% 1.35/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl126])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl585, plain, (((inverse @ identity) = (identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl0, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl1895, plain,
% 1.35/1.01 ((((identity) = (sk_c6)) | ((sk_c7) = (identity)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1320, zip_derived_cl1820, zip_derived_cl585,
% 1.35/1.01 zip_derived_cl0, zip_derived_cl1820])).
% 1.35/1.01 thf(prove_this_16, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.35/1.01 thf(zf_stmt_16, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.35/1.01 thf(zip_derived_cl18, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl48, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl126, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl0])).
% 1.35/1.01 thf(zip_derived_cl155, plain,
% 1.35/1.01 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl126])).
% 1.35/1.01 thf(prove_this_11, conjecture,
% 1.35/1.01 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.01 thf(zf_stmt_17, negated_conjecture,
% 1.35/1.01 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.35/1.01 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.01 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.35/1.01 thf(zip_derived_cl13, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 1.35/1.01 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.35/1.01 thf(zip_derived_cl253, plain,
% 1.35/1.01 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.35/1.01 = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl13])).
% 1.35/1.01 thf(zip_derived_cl2, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.01 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.01 thf(zip_derived_cl0, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.01 thf(zip_derived_cl1, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.01 thf(zip_derived_cl268, plain,
% 1.35/1.01 ((((identity) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.35/1.01 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl253, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.01 zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl269, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 1.35/1.01 thf(zip_derived_cl289, plain,
% 1.35/1.01 ((((multiply @ sk_c7 @ sk_c8) != (identity)) | ((identity) = (sk_c6)))),
% 1.35/1.01 inference('eq_fact', [status(thm)], [zip_derived_cl269])).
% 1.35/1.01 thf(zip_derived_cl1820, plain, (((identity) = (sk_c8))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1819])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1872, plain,
% 1.35/1.01 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl289, zip_derived_cl1820, zip_derived_cl598])).
% 1.35/1.01 thf(zip_derived_cl1946, plain, (((identity) = (sk_c6))),
% 1.35/1.01 inference('clc', [status(thm)], [zip_derived_cl1895, zip_derived_cl1872])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl585, plain, (((inverse @ identity) = (identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl598, plain,
% 1.35/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl144])).
% 1.35/1.01 thf(zip_derived_cl1947, plain, (((sk_c7) = (identity))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1843, zip_derived_cl1946])).
% 1.35/1.01 thf(zip_derived_cl1955, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.01 (((identity) != (identity))
% 1.35/1.01 | ((X0) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((X1) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((inverse @ X2) != (identity))
% 1.35/1.01 | ((X2) != (identity))
% 1.35/1.01 | ((inverse @ X3) != (identity))
% 1.35/1.01 | ((X3) != (identity)))),
% 1.35/1.01 inference('demod', [status(thm)],
% 1.35/1.01 [zip_derived_cl1943, zip_derived_cl1947, zip_derived_cl585,
% 1.35/1.01 zip_derived_cl1947, zip_derived_cl598, zip_derived_cl1947,
% 1.35/1.01 zip_derived_cl1947, zip_derived_cl1947, zip_derived_cl598,
% 1.35/1.01 zip_derived_cl1947, zip_derived_cl1947, zip_derived_cl598,
% 1.35/1.01 zip_derived_cl1947, zip_derived_cl1947, zip_derived_cl598,
% 1.35/1.01 zip_derived_cl1947])).
% 1.35/1.01 thf(zip_derived_cl1956, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.01 (((X3) != (identity))
% 1.35/1.01 | ((inverse @ X3) != (identity))
% 1.35/1.01 | ((X2) != (identity))
% 1.35/1.01 | ((inverse @ X2) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((X1) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((X0) != (identity)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1955])).
% 1.35/1.01 thf(zip_derived_cl1992, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 (((X0) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((X1) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((inverse @ X2) != (identity))
% 1.35/1.01 | ((X2) != (identity))
% 1.35/1.01 | ((inverse @ identity) != (identity)))),
% 1.35/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1956])).
% 1.35/1.01 thf(zip_derived_cl585, plain, (((inverse @ identity) = (identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1993, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 (((X0) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((X1) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((inverse @ X2) != (identity))
% 1.35/1.01 | ((X2) != (identity))
% 1.35/1.01 | ((identity) != (identity)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl1992, zip_derived_cl585])).
% 1.35/1.01 thf(zip_derived_cl1994, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.01 (((X2) != (identity))
% 1.35/1.01 | ((inverse @ X2) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((X1) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((X0) != (identity)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1993])).
% 1.35/1.01 thf(zip_derived_cl1995, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 (((X0) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((X1) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((inverse @ identity) != (identity)))),
% 1.35/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1994])).
% 1.35/1.01 thf(zip_derived_cl585, plain, (((inverse @ identity) = (identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1996, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 (((X0) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((X1) != (identity))
% 1.35/1.01 | ((inverse @ X1) != (identity))
% 1.35/1.01 | ((identity) != (identity)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl1995, zip_derived_cl585])).
% 1.35/1.01 thf(zip_derived_cl1997, plain,
% 1.35/1.01 (![X0 : $i, X1 : $i]:
% 1.35/1.01 (((inverse @ X1) != (identity))
% 1.35/1.01 | ((X1) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((X0) != (identity)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1996])).
% 1.35/1.01 thf(zip_derived_cl1998, plain,
% 1.35/1.01 (![X0 : $i]:
% 1.35/1.01 (((X0) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((inverse @ identity) != (identity)))),
% 1.35/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1997])).
% 1.35/1.01 thf(zip_derived_cl585, plain, (((inverse @ identity) = (identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl1999, plain,
% 1.35/1.01 (![X0 : $i]:
% 1.35/1.01 (((X0) != (identity))
% 1.35/1.01 | ((inverse @ X0) != (identity))
% 1.35/1.01 | ((identity) != (identity)))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl1998, zip_derived_cl585])).
% 1.35/1.01 thf(zip_derived_cl2000, plain,
% 1.35/1.01 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl1999])).
% 1.35/1.01 thf(zip_derived_cl2001, plain, (((inverse @ identity) != (identity))),
% 1.35/1.01 inference('eq_res', [status(thm)], [zip_derived_cl2000])).
% 1.35/1.01 thf(zip_derived_cl585, plain, (((inverse @ identity) = (identity))),
% 1.35/1.01 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl1])).
% 1.35/1.01 thf(zip_derived_cl2002, plain, (((identity) != (identity))),
% 1.35/1.01 inference('demod', [status(thm)], [zip_derived_cl2001, zip_derived_cl585])).
% 1.35/1.01 thf(zip_derived_cl2003, plain, ($false),
% 1.35/1.01 inference('simplify', [status(thm)], [zip_derived_cl2002])).
% 1.35/1.01
% 1.35/1.01 % SZS output end Refutation
% 1.35/1.01
% 1.35/1.01
% 1.35/1.01 % Terminating...
% 1.61/1.08 % Runner terminated.
% 1.61/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------