TSTP Solution File: GRP331-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP331-1 : 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.FuvA70oEyF true
% Computer : n017.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 01:51:13 EDT 2023
% Result : Unsatisfiable 1.83s 0.91s
% Output : Refutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP331-1 : 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.FuvA70oEyF true
% 0.13/0.36 % Computer : n017.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Aug 28 21:53:28 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.83/0.91 % Solved by fo/fo7.sh.
% 1.83/0.91 % done 364 iterations in 0.116s
% 1.83/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.83/0.91 % SZS output start Refutation
% 1.83/0.91 thf(sk_c1_type, type, sk_c1: $i).
% 1.83/0.91 thf(sk_c6_type, type, sk_c6: $i).
% 1.83/0.91 thf(sk_c5_type, type, sk_c5: $i).
% 1.83/0.91 thf(sk_c4_type, type, sk_c4: $i).
% 1.83/0.91 thf(identity_type, type, identity: $i).
% 1.83/0.91 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.83/0.91 thf(sk_c8_type, type, sk_c8: $i).
% 1.83/0.91 thf(inverse_type, type, inverse: $i > $i).
% 1.83/0.91 thf(sk_c3_type, type, sk_c3: $i).
% 1.83/0.91 thf(sk_c2_type, type, sk_c2: $i).
% 1.83/0.91 thf(sk_c7_type, type, sk_c7: $i).
% 1.83/0.91 thf(prove_this_31, conjecture,
% 1.83/0.91 (~( ( ( multiply @ X5 @ sk_c8 ) != ( sk_c6 ) ) |
% 1.83/0.91 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 1.83/0.91 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.83/0.91 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.83/0.91 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.83/0.91 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) ))).
% 1.83/0.91 thf(zf_stmt_0, negated_conjecture,
% 1.83/0.91 (( ( multiply @ X5 @ sk_c8 ) != ( sk_c6 ) ) |
% 1.83/0.91 ( ( inverse @ X5 ) != ( sk_c6 ) ) | ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.83/0.91 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.83/0.91 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( inverse @ X4 ) != ( sk_c7 ) ) | ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.83/0.91 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.83/0.91 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) )),
% 1.83/0.91 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.83/0.91 thf(zip_derived_cl33, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.83/0.91 (((multiply @ X0 @ sk_c8) != (sk_c6))
% 1.83/0.91 | ((inverse @ X0) != (sk_c6))
% 1.83/0.91 | ((inverse @ X1) != (sk_c7))
% 1.83/0.91 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.83/0.91 | ((inverse @ X2) != (sk_c8))
% 1.83/0.91 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 1.83/0.91 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.83/0.91 | ((inverse @ X3) != (sk_c7))
% 1.83/0.91 | ((inverse @ X4) != (sk_c7))
% 1.83/0.91 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.83/0.91 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.83/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.83/0.91 thf(zip_derived_cl34, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.83/0.91 (((multiply @ X0 @ sk_c8) != (multiply @ sk_c7 @ sk_c8))
% 1.83/0.91 | ((inverse @ X0) != (multiply @ sk_c7 @ sk_c8))
% 1.83/0.91 | ((inverse @ X1) != (sk_c7))
% 1.83/0.91 | ((multiply @ X1 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 1.83/0.91 | ((inverse @ X2) != (sk_c8))
% 1.83/0.91 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 1.83/0.91 | ((multiply @ X3 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 1.83/0.91 | ((inverse @ X3) != (sk_c7))
% 1.83/0.91 | ((inverse @ X4) != (sk_c7))
% 1.83/0.91 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.83/0.91 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.83/0.91 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.83/0.91 thf(prove_this_16, conjecture,
% 1.83/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.83/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.83/0.91 thf(zf_stmt_1, negated_conjecture,
% 1.83/0.91 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.83/0.91 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.83/0.91 thf(zip_derived_cl18, plain,
% 1.83/0.91 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.83/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.83/0.91 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.83/0.91 thf(zip_derived_cl1, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.91 thf(zip_derived_cl39, plain,
% 1.83/0.91 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.83/0.91 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.83/0.91 thf(zip_derived_cl1, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.91 thf(associativity, axiom,
% 1.83/0.91 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.83/0.91 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.83/0.91 thf(zip_derived_cl2, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.83/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.83/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.83/0.91 thf(zip_derived_cl53, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i]:
% 1.83/0.91 ((multiply @ identity @ X0)
% 1.83/0.91 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.83/0.91 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.83/0.91 thf(zip_derived_cl0, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.91 thf(zip_derived_cl73, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i]:
% 1.83/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.91 thf(zip_derived_cl92, plain,
% 1.83/0.91 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.83/0.91 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl73])).
% 1.83/0.91 thf(prove_this_10, conjecture,
% 1.83/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.83/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.83/0.91 thf(zf_stmt_2, negated_conjecture,
% 1.83/0.91 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.83/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.83/0.91 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.83/0.91 thf(zip_derived_cl12, plain,
% 1.83/0.91 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.83/0.91 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.83/0.91 thf(zip_derived_cl225, plain,
% 1.83/0.91 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.83/0.91 = (sk_c8))
% 1.83/0.91 | ((inverse @ sk_c4) = (sk_c7))
% 1.83/0.91 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl12])).
% 1.83/0.91 thf(zip_derived_cl2, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.83/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.83/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.83/0.91 thf(zip_derived_cl0, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.91 thf(zip_derived_cl1, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.91 thf(zip_derived_cl240, plain,
% 1.83/0.91 ((((identity) = (sk_c8))
% 1.83/0.91 | ((inverse @ sk_c4) = (sk_c7))
% 1.83/0.91 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.83/0.91 inference('demod', [status(thm)],
% 1.83/0.91 [zip_derived_cl225, zip_derived_cl2, zip_derived_cl0,
% 1.83/0.91 zip_derived_cl1])).
% 1.83/0.91 thf(zip_derived_cl241, plain,
% 1.83/0.91 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.83/0.91 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 1.83/0.91 thf(zip_derived_cl1, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.91 thf(zip_derived_cl246, plain,
% 1.83/0.91 ((((multiply @ sk_c7 @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl241, zip_derived_cl1])).
% 1.83/0.91 thf(zip_derived_cl73, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i]:
% 1.83/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.91 thf(zip_derived_cl337, plain,
% 1.83/0.91 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.83/0.91 | ((identity) = (sk_c8)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl73])).
% 1.83/0.91 thf(zip_derived_cl1, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.91 thf(zip_derived_cl73, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i]:
% 1.83/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.91 thf(zip_derived_cl88, plain,
% 1.83/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl73])).
% 1.83/0.91 thf(zip_derived_cl73, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i]:
% 1.83/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.91 thf(zip_derived_cl73, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i]:
% 1.83/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.91 thf(zip_derived_cl85, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i]:
% 1.83/0.91 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl73])).
% 1.83/0.91 thf(zip_derived_cl521, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.91 thf(zip_derived_cl557, plain,
% 1.83/0.91 ((((sk_c4) = (inverse @ sk_c7)) | ((identity) = (sk_c8)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl337, zip_derived_cl521])).
% 1.83/0.91 thf(prove_this_15, conjecture,
% 1.83/0.91 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.83/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.83/0.91 thf(zf_stmt_3, negated_conjecture,
% 1.83/0.91 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.83/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.83/0.91 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.83/0.91 thf(zip_derived_cl17, plain,
% 1.83/0.91 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.83/0.91 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.83/0.91 thf(zip_derived_cl521, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.91 thf(zip_derived_cl88, plain,
% 1.83/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl73])).
% 1.83/0.91 thf(zip_derived_cl570, plain,
% 1.83/0.91 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl521, zip_derived_cl88])).
% 1.83/0.91 thf(zip_derived_cl783, plain,
% 1.83/0.91 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c6)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl570])).
% 1.83/0.91 thf(prove_this_9, conjecture,
% 1.83/0.91 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.83/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.83/0.91 thf(zf_stmt_4, negated_conjecture,
% 1.83/0.91 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.83/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.83/0.91 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.83/0.91 thf(zip_derived_cl11, plain,
% 1.83/0.91 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 1.83/0.91 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.83/0.91 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.83/0.91 thf(zip_derived_cl1004, plain,
% 1.83/0.91 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.83/0.91 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 1.83/0.91 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl783, zip_derived_cl11])).
% 1.83/0.91 thf(zip_derived_cl1, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.91 thf(zip_derived_cl1022, plain,
% 1.83/0.91 ((((identity) = (sk_c8))
% 1.83/0.91 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 1.83/0.91 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl1004, zip_derived_cl1])).
% 1.83/0.91 thf(zip_derived_cl1023, plain,
% 1.83/0.91 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.83/0.91 inference('simplify', [status(thm)], [zip_derived_cl1022])).
% 1.83/0.91 thf(zip_derived_cl1106, plain,
% 1.83/0.91 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.83/0.91 | ((identity) = (sk_c8))
% 1.83/0.91 | ((identity) = (sk_c8)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl557, zip_derived_cl1023])).
% 1.83/0.91 thf(zip_derived_cl1, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.91 thf(zip_derived_cl1108, plain,
% 1.83/0.91 ((((identity) = (sk_c6))
% 1.83/0.91 | ((identity) = (sk_c8))
% 1.83/0.91 | ((identity) = (sk_c8)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl1106, zip_derived_cl1])).
% 1.83/0.91 thf(zip_derived_cl1109, plain,
% 1.83/0.91 ((((identity) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.83/0.91 inference('simplify', [status(thm)], [zip_derived_cl1108])).
% 1.83/0.91 thf(prove_this_17, conjecture,
% 1.83/0.91 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.83/0.91 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.83/0.91 thf(zf_stmt_5, negated_conjecture,
% 1.83/0.91 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.83/0.91 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.83/0.91 thf(zip_derived_cl19, plain,
% 1.83/0.91 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.83/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.83/0.91 thf(zip_derived_cl1, plain,
% 1.83/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.91 thf(zip_derived_cl40, plain,
% 1.83/0.91 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.83/0.91 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.83/0.91 thf(zip_derived_cl73, plain,
% 1.83/0.91 (![X0 : $i, X1 : $i]:
% 1.83/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.91 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.91 thf(zip_derived_cl93, plain,
% 1.83/0.91 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.83/0.91 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl73])).
% 1.83/0.91 thf(prove_this_11, conjecture,
% 1.83/0.91 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.83/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.83/0.91 thf(zf_stmt_6, negated_conjecture,
% 1.83/0.91 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.83/0.91 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.83/0.91 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.83/0.91 thf(zip_derived_cl13, plain,
% 1.83/0.91 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.83/0.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.83/0.91 thf(zip_derived_cl163, plain,
% 1.83/0.91 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.83/0.91 = (sk_c8))
% 1.83/0.91 | ((inverse @ sk_c5) = (sk_c6))
% 1.83/0.91 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.83/0.91 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl13])).
% 1.83/0.91 thf(zip_derived_cl2, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.83/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.83/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.83/0.92 thf(zip_derived_cl0, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl178, plain,
% 1.83/0.92 ((((identity) = (sk_c8))
% 1.83/0.92 | ((inverse @ sk_c5) = (sk_c6))
% 1.83/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl163, zip_derived_cl2, zip_derived_cl0,
% 1.83/0.92 zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl179, plain,
% 1.83/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl178])).
% 1.83/0.92 thf(prove_this_18, conjecture,
% 1.83/0.92 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.83/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.83/0.92 thf(zf_stmt_7, negated_conjecture,
% 1.83/0.92 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.83/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.83/0.92 thf(zip_derived_cl20, plain,
% 1.83/0.92 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl46, plain,
% 1.83/0.92 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.83/0.92 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl73, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl354, plain,
% 1.83/0.92 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.83/0.92 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl73])).
% 1.83/0.92 thf(prove_this_12, conjecture,
% 1.83/0.92 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.83/0.92 thf(zf_stmt_8, negated_conjecture,
% 1.83/0.92 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.83/0.92 thf(zip_derived_cl14, plain,
% 1.83/0.92 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.83/0.92 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.83/0.92 thf(zip_derived_cl364, plain,
% 1.83/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.83/0.92 = (sk_c8))
% 1.83/0.92 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.83/0.92 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl14])).
% 1.83/0.92 thf(zip_derived_cl2, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.83/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.83/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.83/0.92 thf(zip_derived_cl0, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl380, plain,
% 1.83/0.92 ((((identity) = (sk_c8))
% 1.83/0.92 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.83/0.92 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl364, zip_derived_cl2, zip_derived_cl0,
% 1.83/0.92 zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl381, plain,
% 1.83/0.92 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl380])).
% 1.83/0.92 thf(zip_derived_cl73, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl392, plain,
% 1.83/0.92 ((((sk_c8) = (multiply @ (inverse @ sk_c5) @ sk_c6))
% 1.83/0.92 | ((identity) = (sk_c8)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl381, zip_derived_cl73])).
% 1.83/0.92 thf(zip_derived_cl429, plain,
% 1.83/0.92 ((((sk_c8) = (multiply @ sk_c6 @ sk_c6))
% 1.83/0.92 | ((identity) = (sk_c8))
% 1.83/0.92 | ((identity) = (sk_c8)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl392])).
% 1.83/0.92 thf(zip_derived_cl432, plain,
% 1.83/0.92 ((((identity) = (sk_c8)) | ((sk_c8) = (multiply @ sk_c6 @ sk_c6)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl429])).
% 1.83/0.92 thf(zip_derived_cl73, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl435, plain,
% 1.83/0.92 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c8))
% 1.83/0.92 | ((identity) = (sk_c8)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl432, zip_derived_cl73])).
% 1.83/0.92 thf(zip_derived_cl1124, plain,
% 1.83/0.92 ((((sk_c6) = (multiply @ (inverse @ identity) @ sk_c8))
% 1.83/0.92 | ((identity) = (sk_c8))
% 1.83/0.92 | ((identity) = (sk_c8)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl1109, zip_derived_cl435])).
% 1.83/0.92 thf(zip_derived_cl0, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.92 thf(zip_derived_cl73, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl87, plain,
% 1.83/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl73])).
% 1.83/0.92 thf(zip_derived_cl73, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl125, plain,
% 1.83/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl73])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl508, plain, (((inverse @ identity) = (identity))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl0, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.92 thf(zip_derived_cl1131, plain,
% 1.83/0.92 ((((sk_c6) = (sk_c8)) | ((identity) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl1124, zip_derived_cl508, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl1132, plain,
% 1.83/0.92 ((((identity) = (sk_c8)) | ((sk_c6) = (sk_c8)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1131])).
% 1.83/0.92 thf(zip_derived_cl1109, plain,
% 1.83/0.92 ((((identity) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1108])).
% 1.83/0.92 thf(zip_derived_cl1149, plain,
% 1.83/0.92 ((((identity) = (sk_c8))
% 1.83/0.92 | ((identity) = (sk_c8))
% 1.83/0.92 | ((identity) = (sk_c8)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl1132, zip_derived_cl1109])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1179, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.83/0.92 (((X0) != (sk_c7))
% 1.83/0.92 | ((inverse @ X0) != (sk_c7))
% 1.83/0.92 | ((inverse @ X1) != (sk_c7))
% 1.83/0.92 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X2) != (sk_c7))
% 1.83/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 1.83/0.92 | ((inverse @ X3) != (sk_c7))
% 1.83/0.92 | ((inverse @ X4) != (sk_c7))
% 1.83/0.92 | ((multiply @ X4 @ sk_c7) != (identity))
% 1.83/0.92 | ((sk_c7) != (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl34, zip_derived_cl1158, zip_derived_cl521,
% 1.83/0.92 zip_derived_cl1158, zip_derived_cl521, zip_derived_cl1158,
% 1.83/0.92 zip_derived_cl521, zip_derived_cl1158, zip_derived_cl521,
% 1.83/0.92 zip_derived_cl1158, zip_derived_cl1158, zip_derived_cl521,
% 1.83/0.92 zip_derived_cl1158, zip_derived_cl521, zip_derived_cl1158,
% 1.83/0.92 zip_derived_cl1158, zip_derived_cl521])).
% 1.83/0.92 thf(prove_this_1, conjecture,
% 1.83/0.92 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.83/0.92 thf(zf_stmt_9, negated_conjecture,
% 1.83/0.92 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.83/0.92 thf(zip_derived_cl3, plain,
% 1.83/0.92 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 1.83/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1159, plain, ((((sk_c3) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl3, zip_derived_cl1158, zip_derived_cl521,
% 1.83/0.92 zip_derived_cl1158, zip_derived_cl521])).
% 1.83/0.92 thf(prove_this_2, conjecture,
% 1.83/0.92 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.83/0.92 thf(zf_stmt_10, negated_conjecture,
% 1.83/0.92 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.83/0.92 thf(zip_derived_cl4, plain,
% 1.83/0.92 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1160, plain,
% 1.83/0.92 ((((inverse @ sk_c3) = (identity)) | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl4, zip_derived_cl1158, zip_derived_cl1158,
% 1.83/0.92 zip_derived_cl521])).
% 1.83/0.92 thf(zip_derived_cl570, plain,
% 1.83/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl521, zip_derived_cl88])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl767, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl570, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl1202, plain,
% 1.83/0.92 ((((multiply @ sk_c3 @ identity) = (identity)) | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl1160, zip_derived_cl767])).
% 1.83/0.92 thf(zip_derived_cl2, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.83/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.83/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.83/0.92 thf(zip_derived_cl1623, plain,
% 1.83/0.92 (![X0 : $i]:
% 1.83/0.92 (((multiply @ identity @ X0)
% 1.83/0.92 = (multiply @ sk_c3 @ (multiply @ identity @ X0)))
% 1.83/0.92 | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl1202, zip_derived_cl2])).
% 1.83/0.92 thf(zip_derived_cl0, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.92 thf(zip_derived_cl0, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.92 thf(zip_derived_cl1634, plain,
% 1.83/0.92 (![X0 : $i]: (((X0) = (multiply @ sk_c3 @ X0)) | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl1623, zip_derived_cl0, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl1639, plain,
% 1.83/0.92 (![X0 : $i]:
% 1.83/0.92 (((X0) = (multiply @ sk_c7 @ X0))
% 1.83/0.92 | ((sk_c7) = (sk_c6))
% 1.83/0.92 | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl1159, zip_derived_cl1634])).
% 1.83/0.92 thf(zip_derived_cl1642, plain,
% 1.83/0.92 (![X0 : $i]: (((sk_c7) = (sk_c6)) | ((X0) = (multiply @ sk_c7 @ X0)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1639])).
% 1.83/0.92 thf(prove_this_4, conjecture,
% 1.83/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.83/0.92 thf(zf_stmt_11, negated_conjecture,
% 1.83/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.83/0.92 thf(zip_derived_cl6, plain,
% 1.83/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl36, plain,
% 1.83/0.92 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 1.83/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1181, plain,
% 1.83/0.92 ((((multiply @ sk_c7 @ sk_c4) = (identity)) | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl36, zip_derived_cl1158, zip_derived_cl521])).
% 1.83/0.92 thf(zip_derived_cl2015, plain,
% 1.83/0.92 ((((sk_c4) = (identity)) | ((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl1642, zip_derived_cl1181])).
% 1.83/0.92 thf(zip_derived_cl2026, plain,
% 1.83/0.92 ((((sk_c7) = (sk_c6)) | ((sk_c4) = (identity)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2015])).
% 1.83/0.92 thf(prove_this_3, conjecture,
% 1.83/0.92 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.83/0.92 thf(zf_stmt_12, negated_conjecture,
% 1.83/0.92 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.83/0.92 thf(zip_derived_cl5, plain,
% 1.83/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 1.83/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1161, plain,
% 1.83/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl5, zip_derived_cl1158, zip_derived_cl521])).
% 1.83/0.92 thf(zip_derived_cl2029, plain,
% 1.83/0.92 ((((multiply @ identity @ sk_c7) = (sk_c6))
% 1.83/0.92 | ((sk_c7) = (sk_c6))
% 1.83/0.92 | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl2026, zip_derived_cl1161])).
% 1.83/0.92 thf(zip_derived_cl0, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.83/0.92 thf(zip_derived_cl2035, plain,
% 1.83/0.92 ((((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl2029, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl2036, plain, (((sk_c7) = (sk_c6))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2035])).
% 1.83/0.92 thf(zip_derived_cl2068, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.83/0.92 (((X0) != (sk_c7))
% 1.83/0.92 | ((inverse @ X0) != (sk_c7))
% 1.83/0.92 | ((inverse @ X1) != (sk_c7))
% 1.83/0.92 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X2) != (sk_c7))
% 1.83/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 1.83/0.92 | ((inverse @ X3) != (sk_c7))
% 1.83/0.92 | ((inverse @ X4) != (sk_c7))
% 1.83/0.92 | ((multiply @ X4 @ sk_c7) != (identity))
% 1.83/0.92 | ((sk_c7) != (sk_c7)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl1179, zip_derived_cl2036])).
% 1.83/0.92 thf(zip_derived_cl2069, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.83/0.92 (((multiply @ X4 @ sk_c7) != (identity))
% 1.83/0.92 | ((inverse @ X4) != (sk_c7))
% 1.83/0.92 | ((inverse @ X3) != (sk_c7))
% 1.83/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 1.83/0.92 | ((X2) != (sk_c7))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((multiply @ X1 @ sk_c7) != (sk_c7))
% 1.83/0.92 | ((inverse @ X1) != (sk_c7))
% 1.83/0.92 | ((inverse @ X0) != (sk_c7))
% 1.83/0.92 | ((X0) != (sk_c7)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2068])).
% 1.83/0.92 thf(prove_this_20, conjecture,
% 1.83/0.92 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 1.83/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.83/0.92 thf(zf_stmt_13, negated_conjecture,
% 1.83/0.92 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.83/0.92 thf(zip_derived_cl22, plain,
% 1.83/0.92 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl41, plain,
% 1.83/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.83/0.92 | ((inverse @ sk_c3) = (sk_c8)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl73, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.83/0.92 thf(zip_derived_cl94, plain,
% 1.83/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.83/0.92 | ((inverse @ sk_c3) = (sk_c8)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl73])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl550, plain,
% 1.83/0.92 ((((sk_c2) = (inverse @ sk_c7)) | ((inverse @ sk_c3) = (sk_c8)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl521])).
% 1.83/0.92 thf(prove_this_26, conjecture,
% 1.83/0.92 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.83/0.92 thf(zf_stmt_14, negated_conjecture,
% 1.83/0.92 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.83/0.92 thf(zip_derived_cl28, plain,
% 1.83/0.92 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.83/0.92 thf(zip_derived_cl710, plain,
% 1.83/0.92 ((((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7))
% 1.83/0.92 | ((inverse @ sk_c3) = (sk_c8))
% 1.83/0.92 | ((inverse @ sk_c3) = (sk_c8)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl550, zip_derived_cl28])).
% 1.83/0.92 thf(zip_derived_cl718, plain,
% 1.83/0.92 ((((inverse @ sk_c3) = (sk_c8))
% 1.83/0.92 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl710])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl1968, plain,
% 1.83/0.92 ((((inverse @ sk_c3) = (identity))
% 1.83/0.92 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl718, zip_derived_cl1158])).
% 1.83/0.92 thf(zip_derived_cl570, plain,
% 1.83/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl521, zip_derived_cl88])).
% 1.83/0.92 thf(zip_derived_cl1970, plain,
% 1.83/0.92 ((((sk_c3) = (inverse @ identity))
% 1.83/0.92 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl1968, zip_derived_cl570])).
% 1.83/0.92 thf(zip_derived_cl508, plain, (((inverse @ identity) = (identity))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl1981, plain,
% 1.83/0.92 ((((sk_c3) = (identity))
% 1.83/0.92 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl1970, zip_derived_cl508])).
% 1.83/0.92 thf(zip_derived_cl2036, plain, (((sk_c7) = (sk_c6))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2035])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl2079, plain,
% 1.83/0.92 ((((sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl1981, zip_derived_cl2036, zip_derived_cl1])).
% 1.83/0.92 thf(prove_this_19, conjecture,
% 1.83/0.92 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.83/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.83/0.92 thf(zf_stmt_15, negated_conjecture,
% 1.83/0.92 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.83/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.83/0.92 thf(zip_derived_cl21, plain,
% 1.83/0.92 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.83/0.92 thf(zip_derived_cl570, plain,
% 1.83/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl521, zip_derived_cl88])).
% 1.83/0.92 thf(zip_derived_cl787, plain,
% 1.83/0.92 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl570])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1197, plain,
% 1.83/0.92 ((((sk_c2) = (inverse @ sk_c7)) | ((sk_c3) = (sk_c7)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl787, zip_derived_cl1158, zip_derived_cl521])).
% 1.83/0.92 thf(prove_this_25, conjecture,
% 1.83/0.92 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.83/0.92 thf(zf_stmt_16, negated_conjecture,
% 1.83/0.92 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.83/0.92 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 1.83/0.92 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.83/0.92 thf(zip_derived_cl27, plain,
% 1.83/0.92 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 1.83/0.92 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 1.83/0.92 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.83/0.92 thf(zip_derived_cl1158, plain, (((identity) = (sk_c8))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl1177, plain,
% 1.83/0.92 ((((sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl27, zip_derived_cl1158, zip_derived_cl521])).
% 1.83/0.92 thf(zip_derived_cl1567, plain,
% 1.83/0.92 ((((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7))
% 1.83/0.92 | ((sk_c3) = (sk_c7))
% 1.83/0.92 | ((sk_c3) = (sk_c7)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl1197, zip_derived_cl1177])).
% 1.83/0.92 thf(zip_derived_cl1569, plain,
% 1.83/0.92 ((((sk_c3) = (sk_c7))
% 1.83/0.92 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl1567])).
% 1.83/0.92 thf(zip_derived_cl2036, plain, (((sk_c7) = (sk_c6))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2035])).
% 1.83/0.92 thf(zip_derived_cl1, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.83/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.83/0.92 thf(zip_derived_cl2076, plain,
% 1.83/0.92 ((((sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl1569, zip_derived_cl2036, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl2083, plain,
% 1.83/0.92 ((((identity) = (sk_c7))
% 1.83/0.92 | ((identity) = (sk_c7))
% 1.83/0.92 | ((identity) = (sk_c7)))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl2079, zip_derived_cl2076])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl521, plain,
% 1.83/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl2084, plain, (((identity) = (sk_c7))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2083])).
% 1.83/0.92 thf(zip_derived_cl2118, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.83/0.92 (((X4) != (identity))
% 1.83/0.92 | ((inverse @ X4) != (identity))
% 1.83/0.92 | ((inverse @ X3) != (identity))
% 1.83/0.92 | ((X3) != (identity))
% 1.83/0.92 | ((X2) != (identity))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((X0) != (identity)))),
% 1.83/0.92 inference('demod', [status(thm)],
% 1.83/0.92 [zip_derived_cl2069, zip_derived_cl2084, zip_derived_cl521,
% 1.83/0.92 zip_derived_cl2084, zip_derived_cl2084, zip_derived_cl2084,
% 1.83/0.92 zip_derived_cl521, zip_derived_cl2084, zip_derived_cl2084,
% 1.83/0.92 zip_derived_cl2084, zip_derived_cl521, zip_derived_cl2084,
% 1.83/0.92 zip_derived_cl2084, zip_derived_cl2084, zip_derived_cl2084])).
% 1.83/0.92 thf(zip_derived_cl2119, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.83/0.92 (((X0) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X2) != (identity))
% 1.83/0.92 | ((X3) != (identity))
% 1.83/0.92 | ((inverse @ X3) != (identity))
% 1.83/0.92 | ((inverse @ identity) != (identity)))),
% 1.83/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2118])).
% 1.83/0.92 thf(zip_derived_cl508, plain, (((inverse @ identity) = (identity))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl2120, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.83/0.92 (((X0) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X2) != (identity))
% 1.83/0.92 | ((X3) != (identity))
% 1.83/0.92 | ((inverse @ X3) != (identity))
% 1.83/0.92 | ((identity) != (identity)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl2119, zip_derived_cl508])).
% 1.83/0.92 thf(zip_derived_cl2121, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.83/0.92 (((inverse @ X3) != (identity))
% 1.83/0.92 | ((X3) != (identity))
% 1.83/0.92 | ((X2) != (identity))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((X0) != (identity)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2120])).
% 1.83/0.92 thf(zip_derived_cl2122, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/0.92 (((X0) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X2) != (identity))
% 1.83/0.92 | ((inverse @ identity) != (identity)))),
% 1.83/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2121])).
% 1.83/0.92 thf(zip_derived_cl508, plain, (((inverse @ identity) = (identity))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl2123, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/0.92 (((X0) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X2) != (identity))
% 1.83/0.92 | ((identity) != (identity)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl2122, zip_derived_cl508])).
% 1.83/0.92 thf(zip_derived_cl2124, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/0.92 (((X2) != (identity))
% 1.83/0.92 | ((inverse @ X2) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((X0) != (identity)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2123])).
% 1.83/0.92 thf(zip_derived_cl2125, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 (((X0) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((inverse @ identity) != (identity)))),
% 1.83/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2124])).
% 1.83/0.92 thf(zip_derived_cl508, plain, (((inverse @ identity) = (identity))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl2126, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 (((X0) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((X1) != (identity))
% 1.83/0.92 | ((identity) != (identity)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl2125, zip_derived_cl508])).
% 1.83/0.92 thf(zip_derived_cl2127, plain,
% 1.83/0.92 (![X0 : $i, X1 : $i]:
% 1.83/0.92 (((X1) != (identity))
% 1.83/0.92 | ((inverse @ X1) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((X0) != (identity)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2126])).
% 1.83/0.92 thf(zip_derived_cl2128, plain,
% 1.83/0.92 (![X0 : $i]:
% 1.83/0.92 (((X0) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((inverse @ identity) != (identity)))),
% 1.83/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2127])).
% 1.83/0.92 thf(zip_derived_cl508, plain, (((inverse @ identity) = (identity))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl2129, plain,
% 1.83/0.92 (![X0 : $i]:
% 1.83/0.92 (((X0) != (identity))
% 1.83/0.92 | ((inverse @ X0) != (identity))
% 1.83/0.92 | ((identity) != (identity)))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl2128, zip_derived_cl508])).
% 1.83/0.92 thf(zip_derived_cl2130, plain,
% 1.83/0.92 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2129])).
% 1.83/0.92 thf(zip_derived_cl2131, plain, (((inverse @ identity) != (identity))),
% 1.83/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2130])).
% 1.83/0.92 thf(zip_derived_cl508, plain, (((inverse @ identity) = (identity))),
% 1.83/0.92 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.83/0.92 thf(zip_derived_cl2132, plain, (((identity) != (identity))),
% 1.83/0.92 inference('demod', [status(thm)], [zip_derived_cl2131, zip_derived_cl508])).
% 1.83/0.92 thf(zip_derived_cl2133, plain, ($false),
% 1.83/0.92 inference('simplify', [status(thm)], [zip_derived_cl2132])).
% 1.83/0.92
% 1.83/0.92 % SZS output end Refutation
% 1.83/0.92
% 1.83/0.92
% 1.83/0.92 % Terminating...
% 1.83/0.97 % Runner terminated.
% 1.83/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------