TSTP Solution File: GRP304-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP304-1 : 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.NDmUSKQLEv true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:07 EDT 2023
% Result : Unsatisfiable 0.55s 0.82s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP304-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NDmUSKQLEv true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:52:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.41/0.62 % Total configuration time : 435
% 0.41/0.62 % Estimated wc time : 1092
% 0.41/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.82 % Solved by fo/fo7.sh.
% 0.55/0.82 % done 147 iterations in 0.056s
% 0.55/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.82 % SZS output start Refutation
% 0.55/0.82 thf(sk_c1_type, type, sk_c1: $i).
% 0.55/0.82 thf(sk_c5_type, type, sk_c5: $i).
% 0.55/0.82 thf(sk_c3_type, type, sk_c3: $i).
% 0.55/0.82 thf(sk_c4_type, type, sk_c4: $i).
% 0.55/0.82 thf(identity_type, type, identity: $i).
% 0.55/0.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.55/0.82 thf(sk_c6_type, type, sk_c6: $i).
% 0.55/0.82 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.82 thf(sk_c2_type, type, sk_c2: $i).
% 0.55/0.82 thf(sk_c7_type, type, sk_c7: $i).
% 0.55/0.82 thf(prove_this_22, conjecture,
% 0.55/0.82 (~( ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.55/0.82 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.55/0.82 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.55/0.82 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.55/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.82 (( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.55/0.82 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.55/0.82 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.55/0.82 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.55/0.82 thf(zip_derived_cl24, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((inverse @ X0) != (sk_c7))
% 0.55/0.82 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.55/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.55/0.82 | ((inverse @ X2) != (sk_c7))
% 0.55/0.82 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 0.55/0.82 | ((inverse @ X3) != (sk_c6))
% 0.55/0.82 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c7) != (sk_c5))
% 0.55/0.82 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.55/0.82 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.82 thf(prove_this_1, conjecture, (( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ))).
% 0.55/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.82 (( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.55/0.82 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c6) = (sk_c5))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.82 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c6) = (sk_c5))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.82 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c6) = (sk_c5))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.82 thf(zip_derived_cl25, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((inverse @ X0) != (sk_c7))
% 0.55/0.82 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.55/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.55/0.82 | ((inverse @ X2) != (sk_c7))
% 0.55/0.82 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 0.55/0.82 | ((inverse @ X3) != (sk_c6))
% 0.55/0.82 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.82 | ((multiply @ sk_c6 @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.82 | ((multiply @ sk_c7 @ sk_c6) != (multiply @ sk_c7 @ sk_c6)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl24, zip_derived_cl3, zip_derived_cl3,
% 0.55/0.82 zip_derived_cl3])).
% 0.55/0.82 thf(zip_derived_cl26, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((multiply @ sk_c6 @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.82 | ((inverse @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.82 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.82 | ((inverse @ X3) != (sk_c6))
% 0.55/0.82 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 0.55/0.82 | ((inverse @ X2) != (sk_c7))
% 0.55/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.55/0.82 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.55/0.82 | ((inverse @ X0) != (sk_c7)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl25])).
% 0.55/0.82 thf(zip_derived_cl27, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((multiply @ sk_c6 @ sk_c7) != (inverse @ sk_c7))
% 0.55/0.82 | ((inverse @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.82 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.55/0.82 | ((inverse @ X3) != (sk_c6))
% 0.55/0.82 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 0.55/0.82 | ((inverse @ X2) != (sk_c7))
% 0.55/0.82 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.55/0.82 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.55/0.82 | ((inverse @ X0) != (sk_c7)))),
% 0.55/0.82 inference('local_rewriting', [status(thm)], [zip_derived_cl26])).
% 0.55/0.82 thf(prove_this_21, conjecture,
% 0.55/0.82 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.55/0.82 thf(zf_stmt_2, negated_conjecture,
% 0.55/0.82 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.55/0.82 thf(zip_derived_cl23, plain,
% 0.55/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.82 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl37, plain,
% 0.55/0.82 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 0.55/0.82 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(associativity, axiom,
% 0.55/0.82 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.55/0.82 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.55/0.82 thf(zip_derived_cl2, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.82 thf(zip_derived_cl50, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((multiply @ identity @ X0)
% 0.55/0.82 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.55/0.82 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl83, plain,
% 0.55/0.82 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.55/0.82 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl67])).
% 0.55/0.82 thf(prove_this_16, conjecture,
% 0.55/0.82 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.55/0.82 thf(zf_stmt_3, negated_conjecture,
% 0.55/0.82 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.55/0.82 thf(zip_derived_cl18, plain,
% 0.55/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.82 thf(zip_derived_cl134, plain,
% 0.55/0.82 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.55/0.82 = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c3) = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl18])).
% 0.55/0.82 thf(zip_derived_cl2, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl147, plain,
% 0.55/0.82 ((((identity) = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c3) = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl134, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl148, plain,
% 0.55/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl147])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl151, plain,
% 0.55/0.82 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl168, plain,
% 0.55/0.82 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.82 | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl67])).
% 0.55/0.82 thf(prove_this_20, conjecture,
% 0.55/0.82 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.55/0.82 thf(zf_stmt_4, negated_conjecture,
% 0.55/0.82 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.55/0.82 thf(zip_derived_cl22, plain,
% 0.55/0.82 ((((multiply @ sk_c3 @ sk_c7) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl40, plain,
% 0.55/0.82 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 0.55/0.82 | ((multiply @ sk_c3 @ sk_c7) = (sk_c4)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl84, plain,
% 0.55/0.82 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.55/0.82 | ((multiply @ sk_c3 @ sk_c7) = (sk_c4)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl67])).
% 0.55/0.82 thf(prove_this_15, conjecture,
% 0.55/0.82 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.55/0.82 thf(zf_stmt_5, negated_conjecture,
% 0.55/0.82 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.55/0.82 thf(zip_derived_cl17, plain,
% 0.55/0.82 ((((multiply @ sk_c3 @ sk_c7) = (sk_c4))
% 0.55/0.82 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.82 thf(zip_derived_cl182, plain,
% 0.55/0.82 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.55/0.82 = (sk_c7))
% 0.55/0.82 | ((multiply @ sk_c3 @ sk_c7) = (sk_c4))
% 0.55/0.82 | ((multiply @ sk_c3 @ sk_c7) = (sk_c4)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl17])).
% 0.55/0.82 thf(zip_derived_cl2, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl195, plain,
% 0.55/0.82 ((((identity) = (sk_c7))
% 0.55/0.82 | ((multiply @ sk_c3 @ sk_c7) = (sk_c4))
% 0.55/0.82 | ((multiply @ sk_c3 @ sk_c7) = (sk_c4)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl182, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl196, plain,
% 0.55/0.82 ((((multiply @ sk_c3 @ sk_c7) = (sk_c4)) | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl195])).
% 0.55/0.82 thf(zip_derived_cl212, plain,
% 0.55/0.82 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.55/0.82 = (sk_c4))
% 0.55/0.82 | ((identity) = (sk_c7))
% 0.55/0.82 | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl196])).
% 0.55/0.82 thf(zip_derived_cl2, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl213, plain,
% 0.55/0.82 ((((identity) = (sk_c4))
% 0.55/0.82 | ((identity) = (sk_c7))
% 0.55/0.82 | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl212, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl214, plain,
% 0.55/0.82 ((((identity) = (sk_c7)) | ((identity) = (sk_c4)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 0.55/0.82 thf(prove_this_19, conjecture,
% 0.55/0.82 (~( ( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.55/0.82 thf(zf_stmt_6, negated_conjecture,
% 0.55/0.82 (( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.55/0.82 thf(zip_derived_cl21, plain,
% 0.55/0.82 ((((multiply @ sk_c7 @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl77, plain,
% 0.55/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl74, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl67])).
% 0.55/0.82 thf(zip_derived_cl366, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl74])).
% 0.55/0.82 thf(zip_derived_cl77, plain,
% 0.55/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.55/0.82 thf(zip_derived_cl394, plain,
% 0.55/0.82 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl77])).
% 0.55/0.82 thf(zip_derived_cl412, plain,
% 0.55/0.82 ((((sk_c1) = (inverse @ sk_c6)) | ((multiply @ sk_c7 @ sk_c4) = (sk_c6)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl394])).
% 0.55/0.82 thf(prove_this_14, conjecture,
% 0.55/0.82 (~( ( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.55/0.82 thf(zf_stmt_7, negated_conjecture,
% 0.55/0.82 (( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.55/0.82 thf(zip_derived_cl16, plain,
% 0.55/0.82 ((((multiply @ sk_c7 @ sk_c4) = (sk_c6))
% 0.55/0.82 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.82 thf(zip_derived_cl609, plain,
% 0.55/0.82 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 0.55/0.82 | ((multiply @ sk_c7 @ sk_c4) = (sk_c6))
% 0.55/0.82 | ((multiply @ sk_c7 @ sk_c4) = (sk_c6)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl412, zip_derived_cl16])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl622, plain,
% 0.55/0.82 ((((identity) = (sk_c7))
% 0.55/0.82 | ((multiply @ sk_c7 @ sk_c4) = (sk_c6))
% 0.55/0.82 | ((multiply @ sk_c7 @ sk_c4) = (sk_c6)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl609, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl623, plain,
% 0.55/0.82 ((((multiply @ sk_c7 @ sk_c4) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl622])).
% 0.55/0.82 thf(zip_derived_cl756, plain,
% 0.55/0.82 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 0.55/0.82 | ((identity) = (sk_c7))
% 0.55/0.82 | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl623])).
% 0.55/0.82 thf(zip_derived_cl366, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl74])).
% 0.55/0.82 thf(zip_derived_cl759, plain,
% 0.55/0.82 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl366])).
% 0.55/0.82 thf(zip_derived_cl760, plain,
% 0.55/0.82 ((((identity) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl759])).
% 0.55/0.82 thf(prove_this_18, conjecture,
% 0.55/0.82 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.55/0.82 thf(zf_stmt_8, negated_conjecture,
% 0.55/0.82 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.55/0.82 thf(zip_derived_cl20, plain,
% 0.55/0.82 ((((inverse @ sk_c2) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl36, plain,
% 0.55/0.82 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 0.55/0.82 | ((inverse @ sk_c2) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl82, plain,
% 0.55/0.82 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.55/0.82 | ((inverse @ sk_c2) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl67])).
% 0.55/0.82 thf(prove_this_13, conjecture,
% 0.55/0.82 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.55/0.82 thf(zf_stmt_9, negated_conjecture,
% 0.55/0.82 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.55/0.82 thf(zip_derived_cl15, plain,
% 0.55/0.82 ((((inverse @ sk_c2) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/0.82 thf(zip_derived_cl108, plain,
% 0.55/0.82 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.55/0.82 = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c2) = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c2) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl15])).
% 0.55/0.82 thf(zip_derived_cl2, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl121, plain,
% 0.55/0.82 ((((identity) = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c2) = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c2) = (sk_c7)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl108, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl122, plain,
% 0.55/0.82 ((((inverse @ sk_c2) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl128, plain,
% 0.55/0.82 ((((multiply @ sk_c7 @ sk_c2) = (identity)) | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl154, plain,
% 0.55/0.82 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.82 | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl67])).
% 0.55/0.82 thf(prove_this_17, conjecture,
% 0.55/0.82 (~( ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 0.55/0.82 thf(zf_stmt_10, negated_conjecture,
% 0.55/0.82 (( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.55/0.82 thf(zip_derived_cl19, plain,
% 0.55/0.82 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.82 thf(zip_derived_cl77, plain,
% 0.55/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.55/0.82 thf(zip_derived_cl261, plain,
% 0.55/0.82 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.55/0.82 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl77])).
% 0.55/0.82 thf(prove_this_12, conjecture,
% 0.55/0.82 (~( ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.55/0.82 thf(zf_stmt_11, negated_conjecture,
% 0.55/0.82 (( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.55/0.82 thf(zip_derived_cl14, plain,
% 0.55/0.82 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 0.55/0.82 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.55/0.82 thf(zip_derived_cl297, plain,
% 0.55/0.82 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.55/0.82 = (sk_c7))
% 0.55/0.82 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 0.55/0.82 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl14])).
% 0.55/0.82 thf(zip_derived_cl2, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl310, plain,
% 0.55/0.82 ((((identity) = (sk_c7))
% 0.55/0.82 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 0.55/0.82 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl297, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl311, plain,
% 0.55/0.82 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl310])).
% 0.55/0.82 thf(zip_derived_cl320, plain,
% 0.55/0.82 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.55/0.82 = (sk_c6))
% 0.55/0.82 | ((identity) = (sk_c7))
% 0.55/0.82 | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl311])).
% 0.55/0.82 thf(zip_derived_cl2, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl322, plain,
% 0.55/0.82 ((((identity) = (sk_c6))
% 0.55/0.82 | ((identity) = (sk_c7))
% 0.55/0.82 | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl320, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl323, plain,
% 0.55/0.82 ((((identity) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl322])).
% 0.55/0.82 thf(zip_derived_cl775, plain,
% 0.55/0.82 ((((identity) = (sk_c7))
% 0.55/0.82 | ((identity) = (sk_c7))
% 0.55/0.82 | ((identity) = (sk_c7)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl760, zip_derived_cl323])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl366, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl74])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl76, plain,
% 0.55/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl67])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl105, plain,
% 0.55/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl67])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl366, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl74])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl366, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl74])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl791, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((sk_c6) != (identity))
% 0.55/0.82 | ((identity) != (sk_c6))
% 0.55/0.82 | ((multiply @ X3 @ sk_c6) != (identity))
% 0.55/0.82 | ((inverse @ X3) != (sk_c6))
% 0.55/0.82 | ((X2) != (sk_c6))
% 0.55/0.82 | ((inverse @ X2) != (identity))
% 0.55/0.82 | ((X1) != (sk_c6))
% 0.55/0.82 | ((X0) != (X1))
% 0.55/0.82 | ((inverse @ X0) != (identity)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl27, zip_derived_cl779, zip_derived_cl366,
% 0.55/0.82 zip_derived_cl779, zip_derived_cl269, zip_derived_cl779,
% 0.55/0.82 zip_derived_cl269, zip_derived_cl779, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl779, zip_derived_cl779, zip_derived_cl366,
% 0.55/0.82 zip_derived_cl779, zip_derived_cl779, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl779, zip_derived_cl366, zip_derived_cl779])).
% 0.55/0.82 thf(zip_derived_cl792, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((inverse @ X0) != (identity))
% 0.55/0.82 | ((X0) != (X1))
% 0.55/0.82 | ((X1) != (sk_c6))
% 0.55/0.82 | ((inverse @ X2) != (identity))
% 0.55/0.82 | ((X2) != (sk_c6))
% 0.55/0.82 | ((inverse @ X3) != (sk_c6))
% 0.55/0.82 | ((multiply @ X3 @ sk_c6) != (identity))
% 0.55/0.82 | ((sk_c6) != (identity)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl791])).
% 0.55/0.82 thf(zip_derived_cl793, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((inverse @ X0) != (identity))
% 0.55/0.82 | ((X0) != (X1))
% 0.55/0.82 | ((X1) != (identity))
% 0.55/0.82 | ((inverse @ X2) != (identity))
% 0.55/0.82 | ((X2) != (identity))
% 0.55/0.82 | ((inverse @ X3) != (identity))
% 0.55/0.82 | ((multiply @ X3 @ identity) != (identity))
% 0.55/0.82 | ((sk_c6) != (identity)))),
% 0.55/0.82 inference('local_rewriting', [status(thm)], [zip_derived_cl792])).
% 0.55/0.82 thf(zip_derived_cl366, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl74])).
% 0.55/0.82 thf(zip_derived_cl794, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((inverse @ X0) != (identity))
% 0.55/0.82 | ((X0) != (X1))
% 0.55/0.82 | ((X1) != (identity))
% 0.55/0.82 | ((inverse @ X2) != (identity))
% 0.55/0.82 | ((X2) != (identity))
% 0.55/0.82 | ((inverse @ X3) != (identity))
% 0.55/0.82 | ((X3) != (identity))
% 0.55/0.82 | ((sk_c6) != (identity)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl793, zip_derived_cl366])).
% 0.55/0.82 thf(prove_this_8, conjecture,
% 0.55/0.82 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.55/0.82 thf(zf_stmt_12, negated_conjecture,
% 0.55/0.82 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.55/0.82 thf(zip_derived_cl10, plain,
% 0.55/0.82 ((((inverse @ sk_c2) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.55/0.82 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c6) = (sk_c5))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.82 thf(zip_derived_cl28, plain,
% 0.55/0.82 ((((inverse @ sk_c2) = (sk_c7))
% 0.55/0.82 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl29, plain,
% 0.55/0.82 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.55/0.82 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl67, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl79, plain,
% 0.55/0.82 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.55/0.82 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl67])).
% 0.55/0.82 thf(prove_this_7, conjecture,
% 0.55/0.82 (~( ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.55/0.82 thf(zf_stmt_13, negated_conjecture,
% 0.55/0.82 (( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.55/0.82 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.55/0.82 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.55/0.82 thf(zip_derived_cl9, plain,
% 0.55/0.82 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.55/0.82 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c6) = (sk_c5))),
% 0.55/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.82 thf(zip_derived_cl41, plain,
% 0.55/0.82 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 0.55/0.82 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 0.55/0.82 thf(zip_derived_cl221, plain,
% 0.55/0.82 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.55/0.82 = (sk_c6))
% 0.55/0.82 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 0.55/0.82 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl41])).
% 0.55/0.82 thf(zip_derived_cl2, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.82 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl1, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.82 thf(zip_derived_cl227, plain,
% 0.55/0.82 ((((identity) = (sk_c6))
% 0.55/0.82 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 0.55/0.82 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl221, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.82 zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl228, plain,
% 0.55/0.82 ((((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c6))
% 0.55/0.82 | ((identity) = (sk_c6)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl227])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl779, plain, (((identity) = (sk_c7))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl775])).
% 0.55/0.82 thf(zip_derived_cl0, plain,
% 0.55/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.82 thf(zip_derived_cl810, plain,
% 0.55/0.82 ((((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.55/0.82 inference('demod', [status(thm)],
% 0.55/0.82 [zip_derived_cl228, zip_derived_cl779, zip_derived_cl269,
% 0.55/0.82 zip_derived_cl779, zip_derived_cl0])).
% 0.55/0.82 thf(zip_derived_cl811, plain, (((identity) = (sk_c6))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl810])).
% 0.55/0.82 thf(zip_derived_cl846, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((inverse @ X0) != (identity))
% 0.55/0.82 | ((X0) != (X1))
% 0.55/0.82 | ((X1) != (identity))
% 0.55/0.82 | ((inverse @ X2) != (identity))
% 0.55/0.82 | ((X2) != (identity))
% 0.55/0.82 | ((inverse @ X3) != (identity))
% 0.55/0.82 | ((X3) != (identity))
% 0.55/0.82 | ((identity) != (identity)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl794, zip_derived_cl811])).
% 0.55/0.82 thf(zip_derived_cl847, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.82 (((X3) != (identity))
% 0.55/0.82 | ((inverse @ X3) != (identity))
% 0.55/0.82 | ((X2) != (identity))
% 0.55/0.82 | ((inverse @ X2) != (identity))
% 0.55/0.82 | ((X1) != (identity))
% 0.55/0.82 | ((X0) != (X1))
% 0.55/0.82 | ((inverse @ X0) != (identity)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl846])).
% 0.55/0.82 thf(zip_derived_cl848, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.82 (((inverse @ X0) != (identity))
% 0.55/0.82 | ((X0) != (identity))
% 0.55/0.82 | ((inverse @ X1) != (identity))
% 0.55/0.82 | ((X1) != (identity))
% 0.55/0.82 | ((inverse @ X2) != (identity))
% 0.55/0.82 | ((X2) != (identity)))),
% 0.55/0.82 inference('eq_res', [status(thm)], [zip_derived_cl847])).
% 0.55/0.82 thf(zip_derived_cl849, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 (((X0) != (identity))
% 0.55/0.82 | ((inverse @ X0) != (identity))
% 0.55/0.82 | ((X1) != (identity))
% 0.55/0.82 | ((inverse @ X1) != (identity))
% 0.55/0.82 | ((inverse @ identity) != (identity)))),
% 0.55/0.82 inference('eq_res', [status(thm)], [zip_derived_cl848])).
% 0.55/0.82 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl850, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 (((X0) != (identity))
% 0.55/0.82 | ((inverse @ X0) != (identity))
% 0.55/0.82 | ((X1) != (identity))
% 0.55/0.82 | ((inverse @ X1) != (identity))
% 0.55/0.82 | ((identity) != (identity)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl849, zip_derived_cl269])).
% 0.55/0.82 thf(zip_derived_cl851, plain,
% 0.55/0.82 (![X0 : $i, X1 : $i]:
% 0.55/0.82 (((inverse @ X1) != (identity))
% 0.55/0.82 | ((X1) != (identity))
% 0.55/0.82 | ((inverse @ X0) != (identity))
% 0.55/0.82 | ((X0) != (identity)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl850])).
% 0.55/0.82 thf(zip_derived_cl852, plain,
% 0.55/0.82 (![X0 : $i]:
% 0.55/0.82 (((X0) != (identity))
% 0.55/0.82 | ((inverse @ X0) != (identity))
% 0.55/0.82 | ((inverse @ identity) != (identity)))),
% 0.55/0.82 inference('eq_res', [status(thm)], [zip_derived_cl851])).
% 0.55/0.82 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl853, plain,
% 0.55/0.82 (![X0 : $i]:
% 0.55/0.82 (((X0) != (identity))
% 0.55/0.82 | ((inverse @ X0) != (identity))
% 0.55/0.82 | ((identity) != (identity)))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl852, zip_derived_cl269])).
% 0.55/0.82 thf(zip_derived_cl854, plain,
% 0.55/0.82 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl853])).
% 0.55/0.82 thf(zip_derived_cl855, plain, (((inverse @ identity) != (identity))),
% 0.55/0.82 inference('eq_res', [status(thm)], [zip_derived_cl854])).
% 0.55/0.82 thf(zip_derived_cl269, plain, (((inverse @ identity) = (identity))),
% 0.55/0.82 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl1])).
% 0.55/0.82 thf(zip_derived_cl856, plain, (((identity) != (identity))),
% 0.55/0.82 inference('demod', [status(thm)], [zip_derived_cl855, zip_derived_cl269])).
% 0.55/0.82 thf(zip_derived_cl857, plain, ($false),
% 0.55/0.82 inference('simplify', [status(thm)], [zip_derived_cl856])).
% 0.55/0.82
% 0.55/0.82 % SZS output end Refutation
% 0.55/0.82
% 0.55/0.82
% 0.55/0.82 % Terminating...
% 1.48/0.94 % Runner terminated.
% 1.48/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------