TSTP Solution File: GRP315-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP315-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WaGlxhv5SC true
% Computer : n004.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 01:51:10 EDT 2023
% Result : Unsatisfiable 0.90s 1.22s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP315-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WaGlxhv5SC true
% 0.13/0.34 % Computer : n004.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 21:00:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.73 % Total configuration time : 435
% 0.20/0.73 % Estimated wc time : 1092
% 0.20/0.73 % Estimated cpu time (7 cpus) : 156.0
% 0.83/0.82 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.83/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.89/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.89/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.89/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.89/0.84 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.89/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.90/1.22 % Solved by fo/fo7.sh.
% 0.90/1.22 % done 556 iterations in 0.356s
% 0.90/1.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.90/1.22 % SZS output start Refutation
% 0.90/1.22 thf(sk_c2_type, type, sk_c2: $i).
% 0.90/1.22 thf(sk_c5_type, type, sk_c5: $i).
% 0.90/1.22 thf(sk_c4_type, type, sk_c4: $i).
% 0.90/1.22 thf(sk_c3_type, type, sk_c3: $i).
% 0.90/1.22 thf(identity_type, type, identity: $i).
% 0.90/1.22 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.90/1.22 thf(sk_c7_type, type, sk_c7: $i).
% 0.90/1.22 thf(inverse_type, type, inverse: $i > $i).
% 0.90/1.22 thf(sk_c1_type, type, sk_c1: $i).
% 0.90/1.22 thf(sk_c6_type, type, sk_c6: $i).
% 0.90/1.22 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(associativity, axiom,
% 0.90/1.22 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.90/1.22 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.90/1.22 thf(zip_derived_cl2, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.90/1.22 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.90/1.22 inference('cnf', [status(esa)], [associativity])).
% 0.90/1.22 thf(zip_derived_cl58, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((multiply @ identity @ X0)
% 0.90/1.22 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.90/1.22 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl96, plain,
% 0.90/1.22 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl93, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl321, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 0.90/1.22 thf(zip_derived_cl96, plain,
% 0.90/1.22 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl351, plain,
% 0.90/1.22 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl321, zip_derived_cl96])).
% 0.90/1.22 thf(prove_this_18, conjecture,
% 0.90/1.22 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.90/1.22 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.90/1.22 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.90/1.22 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.90/1.22 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.90/1.22 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) ))).
% 0.90/1.22 thf(zf_stmt_0, negated_conjecture,
% 0.90/1.22 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.90/1.22 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.90/1.22 ( ( inverse @ X1 ) != ( sk_c7 ) ) | ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.90/1.22 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.90/1.22 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.90/1.22 thf(zip_derived_cl20, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/1.22 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.90/1.22 | ((inverse @ X0) != (sk_c6))
% 0.90/1.22 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (sk_c6))
% 0.90/1.22 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 0.90/1.22 | ((inverse @ X3) != (sk_c7))
% 0.90/1.22 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/1.22 thf(zip_derived_cl21, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/1.22 (((multiply @ X0 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.90/1.22 | ((inverse @ X0) != (sk_c6))
% 0.90/1.22 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (sk_c6))
% 0.90/1.22 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((inverse @ X3) != (sk_c7))
% 0.90/1.22 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.90/1.22 inference('local_rewriting', [status(thm)], [zip_derived_cl20])).
% 0.90/1.22 thf(prove_this_1, conjecture, (( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ))).
% 0.90/1.22 thf(zf_stmt_1, negated_conjecture,
% 0.90/1.22 (( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.90/1.22 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/1.22 thf(zip_derived_cl22, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/1.22 (((multiply @ X0 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.90/1.22 | ((inverse @ X0) != (sk_c6))
% 0.90/1.22 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (sk_c6))
% 0.90/1.22 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((inverse @ X3) != (sk_c7))
% 0.90/1.22 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c6 @ sk_c7) != (multiply @ sk_c6 @ sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 0.90/1.22 thf(zip_derived_cl23, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/1.22 (((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.90/1.22 | ((inverse @ X3) != (sk_c7))
% 0.90/1.22 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (sk_c6))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.90/1.22 | ((inverse @ X0) != (sk_c6))
% 0.90/1.22 | ((multiply @ X0 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl22])).
% 0.90/1.22 thf(zip_derived_cl447, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/1.22 (((X0) != (sk_c7))
% 0.90/1.22 | ((multiply @ X1 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.90/1.22 | ((inverse @ X1) != (sk_c6))
% 0.90/1.22 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (sk_c7))
% 0.90/1.22 | ((inverse @ X3) != (sk_c6))
% 0.90/1.22 | ((multiply @ X3 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((multiply @ (inverse @ X0) @ sk_c7) != (sk_c6)))),
% 0.90/1.22 inference('sup-', [status(thm)], [zip_derived_cl351, zip_derived_cl23])).
% 0.90/1.22 thf(zip_derived_cl463, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 (((multiply @ (inverse @ sk_c7) @ sk_c7) != (sk_c6))
% 0.90/1.22 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((inverse @ X0) != (sk_c6))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (sk_c6))
% 0.90/1.22 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6)))),
% 0.90/1.22 inference('eq_res', [status(thm)], [zip_derived_cl447])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl464, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 (((identity) != (sk_c6))
% 0.90/1.22 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((inverse @ X0) != (sk_c6))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (sk_c6))
% 0.90/1.22 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl463, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl465, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 (((identity) != (sk_c6))
% 0.90/1.22 | ((multiply @ X0 @ identity) != (multiply @ identity @ sk_c7))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((multiply @ X1 @ identity) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (identity))
% 0.90/1.22 | ((multiply @ X2 @ (multiply @ identity @ sk_c7)) != (identity)))),
% 0.90/1.22 inference('local_rewriting', [status(thm)], [zip_derived_cl464])).
% 0.90/1.22 thf(zip_derived_cl321, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl321, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl466, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 (((identity) != (sk_c6))
% 0.90/1.22 | ((X0) != (sk_c7))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((X1) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (identity))
% 0.90/1.22 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl465, zip_derived_cl321, zip_derived_cl0,
% 0.90/1.22 zip_derived_cl321, zip_derived_cl0])).
% 0.90/1.22 thf(prove_this_8, conjecture,
% 0.90/1.22 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.90/1.22 thf(zf_stmt_2, negated_conjecture,
% 0.90/1.22 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.90/1.22 thf(zip_derived_cl10, plain,
% 0.90/1.22 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl27, plain,
% 0.90/1.22 ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl98, plain,
% 0.90/1.22 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl76])).
% 0.90/1.22 thf(prove_this_9, conjecture,
% 0.90/1.22 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.90/1.22 thf(zf_stmt_3, negated_conjecture,
% 0.90/1.22 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.90/1.22 thf(zip_derived_cl11, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.90/1.22 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/1.22 thf(zip_derived_cl49, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 0.90/1.22 thf(zip_derived_cl130, plain,
% 0.90/1.22 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @
% 0.90/1.22 (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl49])).
% 0.90/1.22 thf(zip_derived_cl2, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.90/1.22 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.90/1.22 inference('cnf', [status(esa)], [associativity])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl134, plain,
% 0.90/1.22 ((((sk_c7) = (sk_c6))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl130, zip_derived_cl2, zip_derived_cl0,
% 0.90/1.22 zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl135, plain,
% 0.90/1.22 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl137, plain,
% 0.90/1.22 ((((multiply @ sk_c7 @ sk_c1) = (identity)) | ((sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl191, plain,
% 0.90/1.22 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.90/1.22 | ((sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl321, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 0.90/1.22 thf(zip_derived_cl344, plain,
% 0.90/1.22 ((((sk_c1) = (inverse @ sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl321])).
% 0.90/1.22 thf(prove_this_4, conjecture,
% 0.90/1.22 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.90/1.22 thf(zf_stmt_4, negated_conjecture,
% 0.90/1.22 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.90/1.22 thf(zip_derived_cl6, plain,
% 0.90/1.22 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl39, plain,
% 0.90/1.22 ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl99, plain,
% 0.90/1.22 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl76])).
% 0.90/1.22 thf(prove_this_5, conjecture,
% 0.90/1.22 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.90/1.22 thf(zf_stmt_5, negated_conjecture,
% 0.90/1.22 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.90/1.22 thf(zip_derived_cl7, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.90/1.22 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/1.22 thf(zip_derived_cl52, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.90/1.22 thf(zip_derived_cl226, plain,
% 0.90/1.22 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @
% 0.90/1.22 (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl52])).
% 0.90/1.22 thf(zip_derived_cl2, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.90/1.22 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.90/1.22 inference('cnf', [status(esa)], [associativity])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl231, plain,
% 0.90/1.22 ((((sk_c7) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl226, zip_derived_cl2, zip_derived_cl0,
% 0.90/1.22 zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl232, plain,
% 0.90/1.22 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl231])).
% 0.90/1.22 thf(zip_derived_cl358, plain,
% 0.90/1.22 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.90/1.22 | ((sk_c7) = (sk_c6))
% 0.90/1.22 | ((sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl344, zip_derived_cl232])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl361, plain,
% 0.90/1.22 ((((identity) = (sk_c6)) | ((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl358, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl362, plain,
% 0.90/1.22 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl361])).
% 0.90/1.22 thf(prove_this_6, conjecture,
% 0.90/1.22 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.90/1.22 thf(zf_stmt_6, negated_conjecture,
% 0.90/1.22 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.90/1.22 thf(zip_derived_cl8, plain,
% 0.90/1.22 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.90/1.22 thf(prove_this_7, conjecture,
% 0.90/1.22 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.90/1.22 thf(zf_stmt_7, negated_conjecture,
% 0.90/1.22 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.90/1.22 thf(zip_derived_cl9, plain,
% 0.90/1.22 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl107, plain,
% 0.90/1.22 ((((sk_c6) = (multiply @ (inverse @ sk_c3) @ sk_c7))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl805, plain,
% 0.90/1.22 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7))
% 0.90/1.22 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl107])).
% 0.90/1.22 thf(zip_derived_cl810, plain,
% 0.90/1.22 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl805])).
% 0.90/1.22 thf(zip_derived_cl351, plain,
% 0.90/1.22 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl321, zip_derived_cl96])).
% 0.90/1.22 thf(zip_derived_cl817, plain,
% 0.90/1.22 ((((sk_c1) = (inverse @ sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl810, zip_derived_cl351])).
% 0.90/1.22 thf(prove_this_2, conjecture,
% 0.90/1.22 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.90/1.22 thf(zf_stmt_8, negated_conjecture,
% 0.90/1.22 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.90/1.22 thf(zip_derived_cl4, plain,
% 0.90/1.22 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.90/1.22 thf(prove_this_3, conjecture,
% 0.90/1.22 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.90/1.22 thf(zf_stmt_9, negated_conjecture,
% 0.90/1.22 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.90/1.22 thf(zip_derived_cl5, plain,
% 0.90/1.22 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl106, plain,
% 0.90/1.22 ((((sk_c6) = (multiply @ (inverse @ sk_c3) @ sk_c7))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl1768, plain,
% 0.90/1.22 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl106])).
% 0.90/1.22 thf(zip_derived_cl1776, plain,
% 0.90/1.22 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.90/1.22 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1768])).
% 0.90/1.22 thf(zip_derived_cl1794, plain,
% 0.90/1.22 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.90/1.22 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.90/1.22 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl817, zip_derived_cl1776])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl1800, plain,
% 0.90/1.22 ((((identity) = (sk_c6))
% 0.90/1.22 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.90/1.22 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl1794, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl1801, plain,
% 0.90/1.22 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((identity) = (sk_c6)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 0.90/1.22 thf(zip_derived_cl1812, plain,
% 0.90/1.22 ((((sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((identity) = (sk_c6))
% 0.90/1.22 | ((identity) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl362, zip_derived_cl1801])).
% 0.90/1.22 thf(zip_derived_cl1814, plain,
% 0.90/1.22 ((((identity) = (sk_c6)) | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1812])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl1823, plain,
% 0.90/1.22 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6))
% 0.90/1.22 | ((identity) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl1814, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl1829, plain,
% 0.90/1.22 ((((sk_c7) = (identity)) | ((identity) = (sk_c6)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl1823, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl362, plain,
% 0.90/1.22 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl361])).
% 0.90/1.22 thf(zip_derived_cl1850, plain,
% 0.90/1.22 ((((identity) = (sk_c6))
% 0.90/1.22 | ((identity) = (sk_c6))
% 0.90/1.22 | ((identity) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl1829, zip_derived_cl362])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl1965, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 (((identity) != (identity))
% 0.90/1.22 | ((X0) != (sk_c7))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((X1) != (sk_c7))
% 0.90/1.22 | ((inverse @ X2) != (identity))
% 0.90/1.22 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl466, zip_derived_cl1886])).
% 0.90/1.22 thf(zip_derived_cl1966, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 (((multiply @ X2 @ sk_c7) != (identity))
% 0.90/1.22 | ((inverse @ X2) != (identity))
% 0.90/1.22 | ((X1) != (sk_c7))
% 0.90/1.22 | ((inverse @ X1) != (sk_c7))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((X0) != (sk_c7)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1965])).
% 0.90/1.22 thf(zip_derived_cl2033, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 (((X0) != (sk_c7))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((inverse @ sk_c7) != (sk_c7))
% 0.90/1.22 | ((inverse @ X1) != (identity))
% 0.90/1.22 | ((multiply @ X1 @ sk_c7) != (identity)))),
% 0.90/1.22 inference('eq_res', [status(thm)], [zip_derived_cl1966])).
% 0.90/1.22 thf(prove_this_13, conjecture,
% 0.90/1.22 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.90/1.22 thf(zf_stmt_10, negated_conjecture,
% 0.90/1.22 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.90/1.22 thf(zip_derived_cl15, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.90/1.22 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/1.22 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/1.22 thf(zip_derived_cl54, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c2 @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl15, zip_derived_cl3, zip_derived_cl3])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl321, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl1935, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ sk_c7) = (identity)) | ((sk_c2) = (sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl54, zip_derived_cl1886, zip_derived_cl0,
% 0.90/1.22 zip_derived_cl1886, zip_derived_cl1886, zip_derived_cl321,
% 0.90/1.22 zip_derived_cl1886, zip_derived_cl0])).
% 0.90/1.22 thf(prove_this_17, conjecture,
% 0.90/1.22 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.90/1.22 thf(zf_stmt_11, negated_conjecture,
% 0.90/1.22 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.90/1.22 thf(zip_derived_cl19, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.90/1.22 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/1.22 thf(zip_derived_cl45, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.90/1.22 | ((inverse @ sk_c2) = (sk_c6)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl46, plain,
% 0.90/1.22 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.90/1.22 | ((multiply @ sk_c4 @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl1929, plain,
% 0.90/1.22 ((((sk_c2) = (identity)) | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl46, zip_derived_cl1886, zip_derived_cl0,
% 0.90/1.22 zip_derived_cl1886, zip_derived_cl0, zip_derived_cl1886])).
% 0.90/1.22 thf(zip_derived_cl2188, plain,
% 0.90/1.22 ((((sk_c7) = (identity))
% 0.90/1.22 | ((multiply @ sk_c4 @ sk_c7) = (identity))
% 0.90/1.22 | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl1935, zip_derived_cl1929])).
% 0.90/1.22 thf(zip_derived_cl2189, plain,
% 0.90/1.22 ((((multiply @ sk_c4 @ sk_c7) = (identity)) | ((sk_c7) = (identity)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl2188])).
% 0.90/1.22 thf(prove_this_16, conjecture,
% 0.90/1.22 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.90/1.22 thf(zf_stmt_12, negated_conjecture,
% 0.90/1.22 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.90/1.22 thf(zip_derived_cl18, plain,
% 0.90/1.22 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl33, plain,
% 0.90/1.22 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.90/1.22 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl101, plain,
% 0.90/1.22 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.90/1.22 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl76])).
% 0.90/1.22 thf(prove_this_12, conjecture,
% 0.90/1.22 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.90/1.22 thf(zf_stmt_13, negated_conjecture,
% 0.90/1.22 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.90/1.22 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.90/1.22 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.90/1.22 thf(zip_derived_cl14, plain,
% 0.90/1.22 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.90/1.22 thf(zip_derived_cl3, plain, (((multiply @ sk_c6 @ sk_c7) = (sk_c5))),
% 0.90/1.22 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/1.22 thf(zip_derived_cl51, plain,
% 0.90/1.22 ((((inverse @ sk_c4) = (sk_c6))
% 0.90/1.22 | ((multiply @ sk_c2 @ sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 0.90/1.22 thf(zip_derived_cl169, plain,
% 0.90/1.22 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.90/1.22 = (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((inverse @ sk_c4) = (sk_c6))
% 0.90/1.22 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl51])).
% 0.90/1.22 thf(zip_derived_cl2, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/1.22 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.90/1.22 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.90/1.22 inference('cnf', [status(esa)], [associativity])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl175, plain,
% 0.90/1.22 ((((identity) = (multiply @ sk_c6 @ sk_c7))
% 0.90/1.22 | ((inverse @ sk_c4) = (sk_c6))
% 0.90/1.22 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl169, zip_derived_cl2, zip_derived_cl0,
% 0.90/1.22 zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl176, plain,
% 0.90/1.22 ((((inverse @ sk_c4) = (sk_c6))
% 0.90/1.22 | ((identity) = (multiply @ sk_c6 @ sk_c7)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl1886, plain, (((identity) = (sk_c6))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl1943, plain,
% 0.90/1.22 ((((inverse @ sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl176, zip_derived_cl1886, zip_derived_cl1886,
% 0.90/1.22 zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl351, plain,
% 0.90/1.22 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl321, zip_derived_cl96])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl445, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl2088, plain,
% 0.90/1.22 (![X0 : $i]:
% 0.90/1.22 (((X0) = (multiply @ sk_c4 @ (multiply @ identity @ X0)))
% 0.90/1.22 | ((identity) = (sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl1943, zip_derived_cl445])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl2096, plain,
% 0.90/1.22 (![X0 : $i]: (((X0) = (multiply @ sk_c4 @ X0)) | ((identity) = (sk_c7)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl2088, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl2768, plain,
% 0.90/1.22 ((((sk_c7) = (identity))
% 0.90/1.22 | ((sk_c7) = (identity))
% 0.90/1.22 | ((identity) = (sk_c7)))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl2189, zip_derived_cl2096])).
% 0.90/1.22 thf(zip_derived_cl2787, plain, (((sk_c7) = (identity))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl2768])).
% 0.90/1.22 thf(zip_derived_cl2787, plain, (((sk_c7) = (identity))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl2768])).
% 0.90/1.22 thf(zip_derived_cl0, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_identity])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl95, plain,
% 0.90/1.22 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl76, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 0.90/1.22 thf(zip_derived_cl124, plain,
% 0.90/1.22 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl76])).
% 0.90/1.22 thf(zip_derived_cl1, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.90/1.22 inference('cnf', [status(esa)], [left_inverse])).
% 0.90/1.22 thf(zip_derived_cl276, plain, (((inverse @ identity) = (identity))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl2787, plain, (((sk_c7) = (identity))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl2768])).
% 0.90/1.22 thf(zip_derived_cl2787, plain, (((sk_c7) = (identity))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl2768])).
% 0.90/1.22 thf(zip_derived_cl321, plain,
% 0.90/1.22 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 0.90/1.22 thf(zip_derived_cl2833, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 (((X0) != (identity))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((identity) != (identity))
% 0.90/1.22 | ((inverse @ X1) != (identity))
% 0.90/1.22 | ((X1) != (identity)))),
% 0.90/1.22 inference('demod', [status(thm)],
% 0.90/1.22 [zip_derived_cl2033, zip_derived_cl2787, zip_derived_cl2787,
% 0.90/1.22 zip_derived_cl276, zip_derived_cl2787, zip_derived_cl2787,
% 0.90/1.22 zip_derived_cl321])).
% 0.90/1.22 thf(zip_derived_cl2834, plain,
% 0.90/1.22 (![X0 : $i, X1 : $i]:
% 0.90/1.22 (((X1) != (identity))
% 0.90/1.22 | ((inverse @ X1) != (identity))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((X0) != (identity)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl2833])).
% 0.90/1.22 thf(zip_derived_cl2850, plain,
% 0.90/1.22 (![X0 : $i]:
% 0.90/1.22 (((X0) != (identity))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((inverse @ identity) != (identity)))),
% 0.90/1.22 inference('eq_res', [status(thm)], [zip_derived_cl2834])).
% 0.90/1.22 thf(zip_derived_cl276, plain, (((inverse @ identity) = (identity))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl2851, plain,
% 0.90/1.22 (![X0 : $i]:
% 0.90/1.22 (((X0) != (identity))
% 0.90/1.22 | ((inverse @ X0) != (identity))
% 0.90/1.22 | ((identity) != (identity)))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl2850, zip_derived_cl276])).
% 0.90/1.22 thf(zip_derived_cl2852, plain,
% 0.90/1.22 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl2851])).
% 0.90/1.22 thf(zip_derived_cl2853, plain, (((inverse @ identity) != (identity))),
% 0.90/1.22 inference('eq_res', [status(thm)], [zip_derived_cl2852])).
% 0.90/1.22 thf(zip_derived_cl276, plain, (((inverse @ identity) = (identity))),
% 0.90/1.22 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl1])).
% 0.90/1.22 thf(zip_derived_cl2854, plain, (((identity) != (identity))),
% 0.90/1.22 inference('demod', [status(thm)], [zip_derived_cl2853, zip_derived_cl276])).
% 0.90/1.22 thf(zip_derived_cl2855, plain, ($false),
% 0.90/1.22 inference('simplify', [status(thm)], [zip_derived_cl2854])).
% 0.90/1.22
% 0.90/1.22 % SZS output end Refutation
% 0.90/1.22
% 0.90/1.22
% 0.90/1.22 % Terminating...
% 0.93/1.34 % Runner terminated.
% 0.93/1.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------