TSTP Solution File: GRP374-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP374-1 : 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.uoga6WzIet true
% Computer : n013.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 01:51:24 EDT 2023
% Result : Unsatisfiable 0.57s 0.84s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP374-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uoga6WzIet true
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:21:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.48/0.65 % Total configuration time : 435
% 0.48/0.65 % Estimated wc time : 1092
% 0.48/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.84 % Solved by fo/fo7.sh.
% 0.57/0.84 % done 196 iterations in 0.081s
% 0.57/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.84 % SZS output start Refutation
% 0.57/0.84 thf(sk_c6_type, type, sk_c6: $i).
% 0.57/0.84 thf(sk_c4_type, type, sk_c4: $i).
% 0.57/0.84 thf(sk_c5_type, type, sk_c5: $i).
% 0.57/0.84 thf(identity_type, type, identity: $i).
% 0.57/0.84 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.84 thf(sk_c7_type, type, sk_c7: $i).
% 0.57/0.84 thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.84 thf(sk_c3_type, type, sk_c3: $i).
% 0.57/0.84 thf(sk_c2_type, type, sk_c2: $i).
% 0.57/0.84 thf(sk_c8_type, type, sk_c8: $i).
% 0.57/0.84 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(associativity, axiom,
% 0.57/0.84 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.57/0.84 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.57/0.84 thf(zip_derived_cl2, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.84 thf(zip_derived_cl67, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 ((multiply @ identity @ X0)
% 0.57/0.84 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl87, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl125, plain,
% 0.57/0.84 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl87])).
% 0.57/0.84 thf(zip_derived_cl87, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl178, plain,
% 0.57/0.84 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl87])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl533, plain, (((inverse @ identity) = (identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl533, plain, (((inverse @ identity) = (identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl533, plain, (((inverse @ identity) = (identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl533, plain, (((inverse @ identity) = (identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 0.57/0.84 thf(prove_this_37, conjecture,
% 0.57/0.84 (~( ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.57/0.84 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.57/0.84 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.57/0.84 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.57/0.84 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.57/0.84 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.84 (( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.57/0.84 ( ( multiply @ X5 @ sk_c8 ) != ( X2 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.57/0.84 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.57/0.84 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.57/0.84 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.57/0.84 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 0.57/0.84 thf(zip_derived_cl39, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.84 (((inverse @ X0) != (sk_c8))
% 0.57/0.84 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.57/0.84 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 0.57/0.84 | ((inverse @ X2) != (sk_c8))
% 0.57/0.84 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 0.57/0.84 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6))
% 0.57/0.84 | ((inverse @ X3) != (sk_c6))
% 0.57/0.84 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.57/0.84 | ((multiply @ sk_c8 @ sk_c6) != (sk_c7))
% 0.57/0.84 | ((inverse @ X4) != (sk_c8))
% 0.57/0.84 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.57/0.84 | ((inverse @ sk_c8) != (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.84 thf(zip_derived_cl40, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.84 (((inverse @ X0) != (sk_c8))
% 0.57/0.84 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.57/0.84 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 0.57/0.84 | ((inverse @ X2) != (sk_c8))
% 0.57/0.84 | ((multiply @ X2 @ sk_c8) != (inverse @ sk_c8))
% 0.57/0.84 | ((multiply @ sk_c8 @ (inverse @ sk_c8)) != (sk_c6))
% 0.57/0.84 | ((inverse @ X3) != (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 0.57/0.84 | ((multiply @ X3 @ (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 0.57/0.84 != (inverse @ sk_c8))
% 0.57/0.84 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 0.57/0.84 != (inverse @ sk_c8))
% 0.57/0.84 | ((inverse @ X4) != (sk_c8))
% 0.57/0.84 | ((multiply @ X4 @ sk_c8) != (inverse @ sk_c8))
% 0.57/0.84 | ((inverse @ sk_c8) != (sk_c7)))),
% 0.57/0.84 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 0.57/0.84 thf(prove_this_33, conjecture,
% 0.57/0.84 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.57/0.84 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.84 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 0.57/0.84 thf(zip_derived_cl35, plain,
% 0.57/0.84 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl47, plain,
% 0.57/0.84 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.57/0.84 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl87, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl139, plain,
% 0.57/0.84 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.57/0.84 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl87])).
% 0.57/0.84 thf(prove_this_27, conjecture,
% 0.57/0.84 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.84 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.57/0.84 thf(zip_derived_cl29, plain,
% 0.57/0.84 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.84 thf(zip_derived_cl246, plain,
% 0.57/0.84 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.57/0.84 = (sk_c7))
% 0.57/0.84 | ((inverse @ sk_c3) = (sk_c8))
% 0.57/0.84 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl29])).
% 0.57/0.84 thf(zip_derived_cl2, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl264, plain,
% 0.57/0.84 ((((identity) = (sk_c7))
% 0.57/0.84 | ((inverse @ sk_c3) = (sk_c8))
% 0.57/0.84 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl246, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.84 zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl265, plain,
% 0.57/0.84 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl87, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl126, plain,
% 0.57/0.84 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl87])).
% 0.57/0.84 thf(zip_derived_cl272, plain,
% 0.57/0.84 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.84 | ((identity) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl126])).
% 0.57/0.84 thf(prove_this_32, conjecture,
% 0.57/0.84 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.57/0.84 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.84 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 0.57/0.84 thf(zip_derived_cl34, plain,
% 0.57/0.84 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl54, plain,
% 0.57/0.84 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.57/0.84 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl87, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl141, plain,
% 0.57/0.84 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.57/0.84 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl87])).
% 0.57/0.84 thf(prove_this_26, conjecture,
% 0.57/0.84 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_4, negated_conjecture,
% 0.57/0.84 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.57/0.84 thf(zip_derived_cl28, plain,
% 0.57/0.84 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.57/0.84 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.84 thf(zip_derived_cl546, plain,
% 0.57/0.84 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.57/0.84 = (sk_c7))
% 0.57/0.84 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.57/0.84 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl28])).
% 0.57/0.84 thf(zip_derived_cl2, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl564, plain,
% 0.57/0.84 ((((identity) = (sk_c7))
% 0.57/0.84 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 0.57/0.84 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl546, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.84 zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl565, plain,
% 0.57/0.84 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl564])).
% 0.57/0.84 thf(zip_derived_cl640, plain,
% 0.57/0.84 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.57/0.84 = (sk_c7))
% 0.57/0.84 | ((identity) = (sk_c7))
% 0.57/0.84 | ((identity) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl272, zip_derived_cl565])).
% 0.57/0.84 thf(zip_derived_cl2, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl643, plain,
% 0.57/0.84 ((((identity) = (sk_c7))
% 0.57/0.84 | ((identity) = (sk_c7))
% 0.57/0.84 | ((identity) = (sk_c7)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl640, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.84 zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl644, plain, (((identity) = (sk_c7))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 0.57/0.84 thf(zip_derived_cl675, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.84 (((inverse @ X0) != (sk_c8))
% 0.57/0.84 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.57/0.84 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 0.57/0.84 | ((inverse @ X2) != (sk_c8))
% 0.57/0.84 | ((multiply @ X2 @ sk_c8) != (inverse @ sk_c8))
% 0.57/0.84 | ((multiply @ sk_c8 @ (inverse @ sk_c8)) != (sk_c6))
% 0.57/0.84 | ((inverse @ X3) != (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 0.57/0.84 | ((multiply @ X3 @ (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 0.57/0.84 != (inverse @ sk_c8))
% 0.57/0.84 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 0.57/0.84 != (inverse @ sk_c8))
% 0.57/0.84 | ((inverse @ X4) != (sk_c8))
% 0.57/0.84 | ((multiply @ X4 @ sk_c8) != (inverse @ sk_c8))
% 0.57/0.84 | ((inverse @ sk_c8) != (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl644])).
% 0.57/0.84 thf(zip_derived_cl676, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.84 (((inverse @ X0) != (sk_c8))
% 0.57/0.84 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.57/0.84 | ((multiply @ sk_c8 @ X1) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (sk_c8))
% 0.57/0.84 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.57/0.84 | ((multiply @ sk_c8 @ identity) != (sk_c6))
% 0.57/0.84 | ((inverse @ X3) != (multiply @ sk_c8 @ identity))
% 0.57/0.84 | ((multiply @ X3 @ (multiply @ sk_c8 @ identity)) != (identity))
% 0.57/0.84 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ identity)) != (identity))
% 0.57/0.84 | ((inverse @ X4) != (sk_c8))
% 0.57/0.84 | ((multiply @ X4 @ sk_c8) != (identity))
% 0.57/0.84 | ((inverse @ sk_c8) != (identity)))),
% 0.57/0.84 inference('local_rewriting', [status(thm)], [zip_derived_cl675])).
% 0.57/0.84 thf(prove_this_6, conjecture,
% 0.57/0.84 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_5, negated_conjecture,
% 0.57/0.84 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.57/0.84 thf(zip_derived_cl8, plain,
% 0.57/0.84 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl42, plain,
% 0.57/0.84 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl87, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl132, plain,
% 0.57/0.84 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl87])).
% 0.57/0.84 thf(prove_this_5, conjecture,
% 0.57/0.84 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_6, negated_conjecture,
% 0.57/0.84 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.57/0.84 thf(zip_derived_cl7, plain,
% 0.57/0.84 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.84 thf(zip_derived_cl196, plain,
% 0.57/0.84 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.57/0.84 = (sk_c5))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl7])).
% 0.57/0.84 thf(zip_derived_cl2, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl201, plain,
% 0.57/0.84 ((((identity) = (sk_c5))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl196, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.84 zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl202, plain,
% 0.57/0.84 ((((inverse @ sk_c8) = (sk_c7)) | ((identity) = (sk_c5)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl201])).
% 0.57/0.84 thf(prove_this_4, conjecture,
% 0.57/0.84 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_7, negated_conjecture,
% 0.57/0.84 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.57/0.84 thf(zip_derived_cl6, plain,
% 0.57/0.84 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.84 thf(zip_derived_cl206, plain,
% 0.57/0.84 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl6])).
% 0.57/0.84 thf(zip_derived_cl209, plain,
% 0.57/0.84 ((((inverse @ sk_c8) = (sk_c7))
% 0.57/0.84 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl206])).
% 0.57/0.84 thf(zip_derived_cl644, plain, (((identity) = (sk_c7))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 0.57/0.84 thf(zip_derived_cl644, plain, (((identity) = (sk_c7))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 0.57/0.84 thf(zip_derived_cl696, plain,
% 0.57/0.84 ((((inverse @ sk_c8) = (identity))
% 0.57/0.84 | ((multiply @ sk_c8 @ identity) = (identity)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl209, zip_derived_cl644, zip_derived_cl644])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl844, plain,
% 0.57/0.84 ((((multiply @ identity @ sk_c8) = (identity))
% 0.57/0.84 | ((multiply @ sk_c8 @ identity) = (identity)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl696, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl850, plain,
% 0.57/0.84 ((((sk_c8) = (identity)) | ((multiply @ sk_c8 @ identity) = (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl844, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl2, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.84 thf(zip_derived_cl857, plain,
% 0.57/0.84 (![X0 : $i]:
% 0.57/0.84 (((multiply @ identity @ X0)
% 0.57/0.84 = (multiply @ sk_c8 @ (multiply @ identity @ X0)))
% 0.57/0.84 | ((sk_c8) = (identity)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl850, zip_derived_cl2])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl859, plain,
% 0.57/0.84 (![X0 : $i]: (((X0) = (multiply @ sk_c8 @ X0)) | ((sk_c8) = (identity)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl857, zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.84 thf(prove_this_3, conjecture,
% 0.57/0.84 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_8, negated_conjecture,
% 0.57/0.84 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.57/0.84 thf(zip_derived_cl5, plain,
% 0.57/0.84 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.84 thf(zip_derived_cl1, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.84 thf(zip_derived_cl41, plain,
% 0.57/0.84 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl644, plain, (((identity) = (sk_c7))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 0.57/0.84 thf(zip_derived_cl677, plain,
% 0.57/0.84 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl644])).
% 0.57/0.84 thf(zip_derived_cl900, plain,
% 0.57/0.84 ((((sk_c3) = (identity))
% 0.57/0.84 | ((sk_c8) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (identity)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl859, zip_derived_cl677])).
% 0.57/0.84 thf(prove_this_2, conjecture,
% 0.57/0.84 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_9, negated_conjecture,
% 0.57/0.84 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.57/0.84 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.57/0.84 thf(zip_derived_cl4, plain,
% 0.57/0.84 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/0.84 thf(zip_derived_cl644, plain, (((identity) = (sk_c7))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 0.57/0.84 thf(zip_derived_cl644, plain, (((identity) = (sk_c7))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 0.57/0.84 thf(zip_derived_cl646, plain,
% 0.57/0.84 ((((multiply @ sk_c3 @ sk_c8) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (identity)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl4, zip_derived_cl644, zip_derived_cl644])).
% 0.57/0.84 thf(zip_derived_cl906, plain,
% 0.57/0.84 ((((multiply @ identity @ sk_c8) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (identity))
% 0.57/0.84 | ((sk_c8) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (identity)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl900, zip_derived_cl646])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl911, plain,
% 0.57/0.84 ((((sk_c8) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (identity))
% 0.57/0.84 | ((sk_c8) = (identity))
% 0.57/0.84 | ((inverse @ sk_c8) = (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl906, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl912, plain,
% 0.57/0.84 ((((inverse @ sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl911])).
% 0.57/0.84 thf(zip_derived_cl126, plain,
% 0.57/0.84 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl87])).
% 0.57/0.84 thf(zip_derived_cl920, plain,
% 0.57/0.84 ((((sk_c8) = (multiply @ (inverse @ identity) @ identity))
% 0.57/0.84 | ((sk_c8) = (identity)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl912, zip_derived_cl126])).
% 0.57/0.84 thf(zip_derived_cl533, plain, (((inverse @ identity) = (identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl925, plain,
% 0.57/0.84 ((((sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl920, zip_derived_cl533, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl533, plain, (((inverse @ identity) = (identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl967, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.84 (((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (X1))
% 0.57/0.84 | ((X1) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (identity))
% 0.57/0.84 | ((multiply @ X2 @ identity) != (identity))
% 0.57/0.84 | ((identity) != (sk_c6))
% 0.57/0.84 | ((inverse @ X3) != (identity))
% 0.57/0.84 | ((multiply @ X3 @ identity) != (identity))
% 0.57/0.84 | ((identity) != (identity))
% 0.57/0.84 | ((inverse @ X4) != (identity))
% 0.57/0.84 | ((multiply @ X4 @ identity) != (identity))
% 0.57/0.84 | ((identity) != (identity)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl676, zip_derived_cl926, zip_derived_cl926,
% 0.57/0.84 zip_derived_cl926, zip_derived_cl0, zip_derived_cl926,
% 0.57/0.84 zip_derived_cl926, zip_derived_cl926, zip_derived_cl0,
% 0.57/0.84 zip_derived_cl926, zip_derived_cl0, zip_derived_cl926,
% 0.57/0.84 zip_derived_cl0, zip_derived_cl926, zip_derived_cl926,
% 0.57/0.84 zip_derived_cl0, zip_derived_cl0, zip_derived_cl926,
% 0.57/0.84 zip_derived_cl926, zip_derived_cl926, zip_derived_cl533])).
% 0.57/0.84 thf(zip_derived_cl968, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.84 (((multiply @ X4 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X4) != (identity))
% 0.57/0.84 | ((multiply @ X3 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X3) != (identity))
% 0.57/0.84 | ((identity) != (sk_c6))
% 0.57/0.84 | ((multiply @ X2 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (identity))
% 0.57/0.84 | ((X1) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (X1))
% 0.57/0.84 | ((inverse @ X0) != (identity)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl967])).
% 0.57/0.84 thf(prove_this_19, conjecture,
% 0.57/0.84 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.57/0.84 thf(zf_stmt_10, negated_conjecture,
% 0.57/0.84 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.57/0.84 ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) )),
% 0.57/0.84 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.57/0.84 thf(zip_derived_cl21, plain,
% 0.57/0.84 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.57/0.84 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.84 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.84 thf(zip_derived_cl87, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl128, plain,
% 0.57/0.84 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 0.57/0.84 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl87])).
% 0.57/0.84 thf(zip_derived_cl644, plain, (((identity) = (sk_c7))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 0.57/0.84 thf(zip_derived_cl644, plain, (((identity) = (sk_c7))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 0.57/0.84 thf(zip_derived_cl687, plain,
% 0.57/0.84 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.84 | ((multiply @ sk_c8 @ identity) = (sk_c6)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl128, zip_derived_cl644, zip_derived_cl644])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl533, plain, (((inverse @ identity) = (identity))),
% 0.57/0.84 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl926, plain, (((sk_c8) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl971, plain,
% 0.57/0.84 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 0.57/0.84 inference('demod', [status(thm)],
% 0.57/0.84 [zip_derived_cl687, zip_derived_cl926, zip_derived_cl533,
% 0.57/0.84 zip_derived_cl0, zip_derived_cl926, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl972, plain, (((sk_c6) = (identity))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl971])).
% 0.57/0.84 thf(zip_derived_cl1004, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.84 (((multiply @ X4 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X4) != (identity))
% 0.57/0.84 | ((multiply @ X3 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X3) != (identity))
% 0.57/0.84 | ((identity) != (identity))
% 0.57/0.84 | ((multiply @ X2 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (identity))
% 0.57/0.84 | ((X1) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (X1))
% 0.57/0.84 | ((inverse @ X0) != (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl968, zip_derived_cl972])).
% 0.57/0.84 thf(zip_derived_cl1005, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.84 (((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (X1))
% 0.57/0.84 | ((X1) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (identity))
% 0.57/0.84 | ((multiply @ X2 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X3) != (identity))
% 0.57/0.84 | ((multiply @ X3 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X4) != (identity))
% 0.57/0.84 | ((multiply @ X4 @ identity) != (identity)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl1004])).
% 0.57/0.84 thf(zip_derived_cl1006, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.84 (((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X1 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X1) != (identity))
% 0.57/0.84 | ((multiply @ X2 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (identity))
% 0.57/0.84 | ((multiply @ X3 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X3) != (identity)))),
% 0.57/0.84 inference('eq_res', [status(thm)], [zip_derived_cl1005])).
% 0.57/0.84 thf(zip_derived_cl1007, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 (((identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X1) != (identity))
% 0.57/0.84 | ((multiply @ X1 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (identity))
% 0.57/0.84 | ((multiply @ X2 @ identity) != (identity))
% 0.57/0.84 | ((multiply @ identity @ identity) != (identity)))),
% 0.57/0.84 inference('sup-', [status(thm)], [zip_derived_cl533, zip_derived_cl1006])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl1010, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 (((identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X1) != (identity))
% 0.57/0.84 | ((multiply @ X1 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (identity))
% 0.57/0.84 | ((multiply @ X2 @ identity) != (identity))
% 0.57/0.84 | ((identity) != (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl1007, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl1011, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 (((multiply @ X2 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X2) != (identity))
% 0.57/0.84 | ((multiply @ X1 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X1) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl1010])).
% 0.57/0.84 thf(zip_derived_cl1014, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 (((identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X1) != (identity))
% 0.57/0.84 | ((multiply @ X1 @ identity) != (identity))
% 0.57/0.84 | ((multiply @ identity @ identity) != (identity)))),
% 0.57/0.84 inference('sup-', [status(thm)], [zip_derived_cl533, zip_derived_cl1011])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl1017, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 (((identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X1) != (identity))
% 0.57/0.84 | ((multiply @ X1 @ identity) != (identity))
% 0.57/0.84 | ((identity) != (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl1014, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl1018, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i]:
% 0.57/0.84 (((multiply @ X1 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X1) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl1017])).
% 0.57/0.84 thf(zip_derived_cl1021, plain,
% 0.57/0.84 (![X0 : $i]:
% 0.57/0.84 (((identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((multiply @ identity @ identity) != (identity)))),
% 0.57/0.84 inference('sup-', [status(thm)], [zip_derived_cl533, zip_derived_cl1018])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl1024, plain,
% 0.57/0.84 (![X0 : $i]:
% 0.57/0.84 (((identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity))
% 0.57/0.84 | ((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((identity) != (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl1021, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl1025, plain,
% 0.57/0.84 (![X0 : $i]:
% 0.57/0.84 (((multiply @ X0 @ identity) != (identity))
% 0.57/0.84 | ((inverse @ X0) != (identity)))),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl1024])).
% 0.57/0.84 thf(zip_derived_cl1028, plain,
% 0.57/0.84 ((((identity) != (identity))
% 0.57/0.84 | ((multiply @ identity @ identity) != (identity)))),
% 0.57/0.84 inference('sup-', [status(thm)], [zip_derived_cl533, zip_derived_cl1025])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.84 thf(zip_derived_cl1031, plain,
% 0.57/0.84 ((((identity) != (identity)) | ((identity) != (identity)))),
% 0.57/0.84 inference('demod', [status(thm)], [zip_derived_cl1028, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl1032, plain, ($false),
% 0.57/0.84 inference('simplify', [status(thm)], [zip_derived_cl1031])).
% 0.57/0.84
% 0.57/0.84 % SZS output end Refutation
% 0.57/0.84
% 0.57/0.84
% 0.57/0.84 % Terminating...
% 0.59/0.96 % Runner terminated.
% 0.59/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------