TSTP Solution File: GRP355-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP355-1 : 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.FGjFBZhlX1 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 01:51:19 EDT 2023
% Result : Unsatisfiable 0.55s 0.83s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP355-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FGjFBZhlX1 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 20:15:56 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.66 % Total configuration time : 435
% 0.54/0.66 % Estimated wc time : 1092
% 0.54/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.83 % Solved by fo/fo7.sh.
% 0.55/0.83 % done 195 iterations in 0.072s
% 0.55/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.83 % SZS output start Refutation
% 0.55/0.83 thf(sk_c4_type, type, sk_c4: $i).
% 0.55/0.83 thf(sk_c8_type, type, sk_c8: $i).
% 0.55/0.83 thf(sk_c5_type, type, sk_c5: $i).
% 0.55/0.83 thf(sk_c3_type, type, sk_c3: $i).
% 0.55/0.83 thf(identity_type, type, identity: $i).
% 0.55/0.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.55/0.83 thf(sk_c6_type, type, sk_c6: $i).
% 0.55/0.83 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.83 thf(sk_c1_type, type, sk_c1: $i).
% 0.55/0.83 thf(sk_c7_type, type, sk_c7: $i).
% 0.55/0.83 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(associativity, axiom,
% 0.55/0.83 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.55/0.83 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.55/0.83 thf(zip_derived_cl2, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.83 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.83 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.83 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.83 thf(zip_derived_cl40, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((multiply @ identity @ X0)
% 0.55/0.83 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.55/0.83 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl58, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.55/0.83 thf(zip_derived_cl70, plain,
% 0.55/0.83 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 0.55/0.83 thf(zip_derived_cl58, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.55/0.83 thf(zip_derived_cl58, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.55/0.83 thf(zip_derived_cl67, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 0.55/0.83 thf(zip_derived_cl382, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 0.55/0.83 thf(zip_derived_cl70, plain,
% 0.55/0.83 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 0.55/0.83 thf(zip_derived_cl414, plain,
% 0.55/0.83 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl70])).
% 0.55/0.83 thf(zip_derived_cl414, plain,
% 0.55/0.83 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl70])).
% 0.55/0.83 thf(zip_derived_cl414, plain,
% 0.55/0.83 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl70])).
% 0.55/0.83 thf(zip_derived_cl414, plain,
% 0.55/0.83 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl70])).
% 0.55/0.83 thf(prove_this_22, conjecture,
% 0.55/0.83 (~( ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.55/0.83 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c6 ) ) |
% 0.55/0.83 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 0.55/0.83 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.83 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.55/0.83 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.55/0.83 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.55/0.83 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c8 ) ) ))).
% 0.55/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.83 (( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 0.55/0.83 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c6 ) ) |
% 0.55/0.83 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 0.55/0.83 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.55/0.83 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.55/0.83 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.55/0.83 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.55/0.83 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c8 ) )),
% 0.55/0.83 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.55/0.83 thf(zip_derived_cl24, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/0.83 (((inverse @ X0) != (sk_c8))
% 0.55/0.83 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.55/0.83 | ((multiply @ sk_c8 @ X1) != (sk_c6))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.55/0.83 | ((inverse @ X3) != (sk_c8))
% 0.55/0.83 | ((multiply @ X3 @ sk_c8) != (sk_c7))
% 0.55/0.83 | ((inverse @ X4) != (sk_c8))
% 0.55/0.83 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) != (sk_c8)))),
% 0.55/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.83 thf(zip_derived_cl25, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/0.83 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (X1))
% 0.55/0.83 | ((multiply @ (multiply @ sk_c7 @ sk_c6) @ X1) != (sk_c6))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.55/0.83 | ((inverse @ X3) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c7))
% 0.55/0.83 | ((inverse @ X4) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.83 | ((multiply @ X4 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c7))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) != (sk_c8)))),
% 0.55/0.83 inference('local_rewriting', [status(thm)], [zip_derived_cl24])).
% 0.55/0.83 thf(zip_derived_cl2, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.83 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.83 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.83 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.83 thf(zip_derived_cl36, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/0.83 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (X1))
% 0.55/0.83 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ X1)) != (sk_c6))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.55/0.83 | ((inverse @ X3) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c7))
% 0.55/0.83 | ((inverse @ X4) != (multiply @ sk_c7 @ sk_c6))
% 0.55/0.83 | ((multiply @ X4 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c7))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) != (sk_c8)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl2])).
% 0.55/0.83 thf(prove_this_18, conjecture,
% 0.55/0.83 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.55/0.83 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.55/0.83 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.83 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.55/0.83 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.55/0.83 thf(zip_derived_cl20, plain,
% 0.55/0.83 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.55/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl30, plain,
% 0.55/0.83 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.55/0.83 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl58, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.55/0.83 thf(zip_derived_cl77, plain,
% 0.55/0.83 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.55/0.83 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl58])).
% 0.55/0.83 thf(prove_this_11, conjecture,
% 0.55/0.83 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.55/0.83 thf(zf_stmt_2, negated_conjecture,
% 0.55/0.83 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.55/0.83 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.55/0.83 thf(zip_derived_cl13, plain,
% 0.55/0.83 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.55/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.83 thf(zip_derived_cl164, plain,
% 0.55/0.83 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.55/0.83 = (sk_c7))
% 0.55/0.83 | ((inverse @ sk_c3) = (sk_c6))
% 0.55/0.83 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl13])).
% 0.55/0.83 thf(zip_derived_cl2, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.83 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.83 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.83 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl185, plain,
% 0.55/0.83 ((((identity) = (sk_c7))
% 0.55/0.83 | ((inverse @ sk_c3) = (sk_c6))
% 0.55/0.83 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.55/0.83 inference('demod', [status(thm)],
% 0.55/0.83 [zip_derived_cl164, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.83 zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl186, plain,
% 0.55/0.83 ((((inverse @ sk_c3) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl185])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl192, plain,
% 0.55/0.83 ((((multiply @ sk_c6 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl58, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.55/0.83 thf(zip_derived_cl266, plain,
% 0.55/0.83 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.55/0.83 | ((identity) = (sk_c7)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl192, zip_derived_cl58])).
% 0.55/0.83 thf(zip_derived_cl382, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 0.55/0.83 thf(zip_derived_cl406, plain,
% 0.55/0.83 ((((sk_c3) = (inverse @ sk_c6)) | ((identity) = (sk_c7)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl382])).
% 0.55/0.83 thf(prove_this_17, conjecture,
% 0.55/0.83 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.83 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.55/0.83 thf(zf_stmt_3, negated_conjecture,
% 0.55/0.83 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.83 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.55/0.83 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.55/0.83 thf(zip_derived_cl19, plain,
% 0.55/0.83 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.55/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl33, plain,
% 0.55/0.83 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.55/0.83 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl58, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.55/0.83 thf(zip_derived_cl150, plain,
% 0.55/0.83 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.55/0.83 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl58])).
% 0.55/0.83 thf(prove_this_10, conjecture,
% 0.55/0.83 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.55/0.83 thf(zf_stmt_4, negated_conjecture,
% 0.55/0.83 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.55/0.83 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.55/0.83 thf(zip_derived_cl12, plain,
% 0.55/0.83 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.55/0.83 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.55/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.83 thf(zip_derived_cl329, plain,
% 0.55/0.83 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.55/0.83 = (sk_c7))
% 0.55/0.83 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.55/0.83 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl12])).
% 0.55/0.83 thf(zip_derived_cl2, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.83 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.83 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.83 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl350, plain,
% 0.55/0.83 ((((identity) = (sk_c7))
% 0.55/0.83 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.55/0.83 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.55/0.83 inference('demod', [status(thm)],
% 0.55/0.83 [zip_derived_cl329, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.83 zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl351, plain,
% 0.55/0.83 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl350])).
% 0.55/0.83 thf(zip_derived_cl423, plain,
% 0.55/0.83 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 0.55/0.83 | ((identity) = (sk_c7))
% 0.55/0.83 | ((identity) = (sk_c7)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl351])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl428, plain,
% 0.55/0.83 ((((identity) = (sk_c7))
% 0.55/0.83 | ((identity) = (sk_c7))
% 0.55/0.83 | ((identity) = (sk_c7)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl423, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl451, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/0.83 (((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (X1))
% 0.55/0.83 | ((multiply @ sk_c6 @ X1) != (sk_c6))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X3) != (sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X4) != (sk_c6))
% 0.55/0.83 | ((multiply @ X4 @ sk_c6) != (identity))
% 0.55/0.83 | ((sk_c6) != (sk_c8)))),
% 0.55/0.83 inference('demod', [status(thm)],
% 0.55/0.83 [zip_derived_cl36, zip_derived_cl429, zip_derived_cl0,
% 0.55/0.83 zip_derived_cl429, zip_derived_cl0, zip_derived_cl429,
% 0.55/0.83 zip_derived_cl0, zip_derived_cl429, zip_derived_cl429,
% 0.55/0.83 zip_derived_cl0, zip_derived_cl429, zip_derived_cl0,
% 0.55/0.83 zip_derived_cl429, zip_derived_cl429, zip_derived_cl0,
% 0.55/0.83 zip_derived_cl429, zip_derived_cl0, zip_derived_cl429,
% 0.55/0.83 zip_derived_cl429, zip_derived_cl0])).
% 0.55/0.83 thf(prove_this_7, conjecture,
% 0.55/0.83 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 0.55/0.83 thf(zf_stmt_5, negated_conjecture,
% 0.55/0.83 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) )),
% 0.55/0.83 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.55/0.83 thf(zip_derived_cl9, plain,
% 0.55/0.83 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl28, plain,
% 0.55/0.83 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl58, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.55/0.83 thf(zip_derived_cl75, plain,
% 0.55/0.83 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl58])).
% 0.55/0.83 thf(prove_this_6, conjecture,
% 0.55/0.83 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 0.55/0.83 thf(zf_stmt_6, negated_conjecture,
% 0.55/0.83 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) )),
% 0.55/0.83 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.55/0.83 thf(zip_derived_cl8, plain,
% 0.55/0.83 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/0.83 thf(zip_derived_cl131, plain,
% 0.55/0.83 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.55/0.83 = (sk_c5))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl8])).
% 0.55/0.83 thf(zip_derived_cl2, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.83 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.83 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.83 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl134, plain,
% 0.55/0.83 ((((identity) = (sk_c5))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('demod', [status(thm)],
% 0.55/0.83 [zip_derived_cl131, zip_derived_cl2, zip_derived_cl0,
% 0.55/0.83 zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl135, plain,
% 0.55/0.83 ((((multiply @ sk_c7 @ sk_c6) = (sk_c8)) | ((identity) = (sk_c5)))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl453, plain,
% 0.55/0.83 ((((sk_c6) = (sk_c8)) | ((identity) = (sk_c5)))),
% 0.55/0.83 inference('demod', [status(thm)],
% 0.55/0.83 [zip_derived_cl135, zip_derived_cl429, zip_derived_cl0])).
% 0.55/0.83 thf(prove_this_5, conjecture,
% 0.55/0.83 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 0.55/0.83 thf(zf_stmt_7, negated_conjecture,
% 0.55/0.83 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.55/0.83 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) )),
% 0.55/0.83 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.55/0.83 thf(zip_derived_cl7, plain,
% 0.55/0.83 ((((multiply @ sk_c8 @ sk_c5) = (sk_c6))
% 0.55/0.83 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.83 thf(zip_derived_cl429, plain, (((identity) = (sk_c7))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.55/0.83 thf(zip_derived_cl0, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.83 thf(zip_derived_cl434, plain,
% 0.55/0.83 ((((multiply @ sk_c8 @ sk_c5) = (sk_c6)) | ((sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('demod', [status(thm)],
% 0.55/0.83 [zip_derived_cl7, zip_derived_cl429, zip_derived_cl0])).
% 0.55/0.83 thf(zip_derived_cl541, plain,
% 0.55/0.83 ((((multiply @ sk_c8 @ identity) = (sk_c6))
% 0.55/0.83 | ((sk_c6) = (sk_c8))
% 0.55/0.83 | ((sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl434])).
% 0.55/0.83 thf(zip_derived_cl542, plain,
% 0.55/0.83 ((((sk_c6) = (sk_c8)) | ((multiply @ sk_c8 @ identity) = (sk_c6)))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl541])).
% 0.55/0.83 thf(zip_derived_cl382, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 0.55/0.83 thf(zip_derived_cl758, plain, ((((sk_c6) = (sk_c8)) | ((sk_c6) = (sk_c8)))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl382])).
% 0.55/0.83 thf(zip_derived_cl760, plain, (((sk_c6) = (sk_c8))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl758])).
% 0.55/0.83 thf(zip_derived_cl779, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/0.83 (((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (X1))
% 0.55/0.83 | ((multiply @ sk_c6 @ X1) != (sk_c6))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X3) != (sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X4) != (sk_c6))
% 0.55/0.83 | ((multiply @ X4 @ sk_c6) != (identity))
% 0.55/0.83 | ((sk_c6) != (sk_c6)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl760])).
% 0.55/0.83 thf(zip_derived_cl780, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/0.83 (((multiply @ X4 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X4) != (sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X3) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ sk_c6 @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (X1))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6)))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl779])).
% 0.55/0.83 thf(zip_derived_cl861, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/0.83 (((X0) != (sk_c6))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (X2))
% 0.55/0.83 | ((multiply @ sk_c6 @ X2) != (sk_c6))
% 0.55/0.83 | ((inverse @ X3) != (sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X4) != (sk_c6))
% 0.55/0.83 | ((multiply @ X4 @ sk_c6) != (identity))
% 0.55/0.83 | ((multiply @ (inverse @ X0) @ sk_c6) != (identity)))),
% 0.55/0.83 inference('sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl780])).
% 0.55/0.83 thf(zip_derived_cl870, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.83 (((multiply @ (inverse @ sk_c6) @ sk_c6) != (identity))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ sk_c6 @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ sk_c6) != (X2))
% 0.55/0.83 | ((inverse @ X3) != (sk_c6)))),
% 0.55/0.83 inference('eq_res', [status(thm)], [zip_derived_cl861])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl871, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.83 (((identity) != (identity))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ sk_c6 @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ sk_c6) != (X2))
% 0.55/0.83 | ((inverse @ X3) != (sk_c6)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl870, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl872, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.83 (((inverse @ X3) != (sk_c6))
% 0.55/0.83 | ((multiply @ X3 @ sk_c6) != (X2))
% 0.55/0.83 | ((multiply @ sk_c6 @ X2) != (sk_c6))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (identity)))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl871])).
% 0.55/0.83 thf(zip_derived_cl873, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.83 (((X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ sk_c6 @ X3) != (sk_c6))
% 0.55/0.83 | ((multiply @ (inverse @ X0) @ sk_c6) != (X3)))),
% 0.55/0.83 inference('sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl872])).
% 0.55/0.83 thf(zip_derived_cl882, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.83 (((multiply @ (inverse @ sk_c6) @ sk_c6) != (X0))
% 0.55/0.83 | ((multiply @ sk_c6 @ X0) != (sk_c6))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (identity)))),
% 0.55/0.83 inference('eq_res', [status(thm)], [zip_derived_cl873])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl883, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.83 (((identity) != (X0))
% 0.55/0.83 | ((multiply @ sk_c6 @ X0) != (sk_c6))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X2) != (sk_c6))
% 0.55/0.83 | ((multiply @ X2 @ sk_c6) != (identity)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl882, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl884, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 (((multiply @ X0 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ sk_c6 @ identity) != (sk_c6)))),
% 0.55/0.83 inference('eq_res', [status(thm)], [zip_derived_cl883])).
% 0.55/0.83 thf(zip_derived_cl382, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.55/0.83 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 0.55/0.83 thf(zip_derived_cl885, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 (((multiply @ X0 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((sk_c6) != (sk_c6)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl884, zip_derived_cl382])).
% 0.55/0.83 thf(zip_derived_cl886, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 (((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (identity)))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl885])).
% 0.55/0.83 thf(zip_derived_cl1072, plain,
% 0.55/0.83 (![X0 : $i, X1 : $i]:
% 0.55/0.83 (((X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X1) != (sk_c6))
% 0.55/0.83 | ((multiply @ (inverse @ X0) @ sk_c6) != (identity)))),
% 0.55/0.83 inference('sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl886])).
% 0.55/0.83 thf(zip_derived_cl1083, plain,
% 0.55/0.83 (![X0 : $i]:
% 0.55/0.83 (((multiply @ (inverse @ sk_c6) @ sk_c6) != (identity))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (identity)))),
% 0.55/0.83 inference('eq_res', [status(thm)], [zip_derived_cl1072])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl1084, plain,
% 0.55/0.83 (![X0 : $i]:
% 0.55/0.83 (((identity) != (identity))
% 0.55/0.83 | ((inverse @ X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ X0 @ sk_c6) != (identity)))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl1083, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl1085, plain,
% 0.55/0.83 (![X0 : $i]:
% 0.55/0.83 (((multiply @ X0 @ sk_c6) != (identity)) | ((inverse @ X0) != (sk_c6)))),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl1084])).
% 0.55/0.83 thf(zip_derived_cl1086, plain,
% 0.55/0.83 (![X0 : $i]:
% 0.55/0.83 (((X0) != (sk_c6))
% 0.55/0.83 | ((multiply @ (inverse @ X0) @ sk_c6) != (identity)))),
% 0.55/0.83 inference('sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl1085])).
% 0.55/0.83 thf(zip_derived_cl1097, plain,
% 0.55/0.83 (((multiply @ (inverse @ sk_c6) @ sk_c6) != (identity))),
% 0.55/0.83 inference('eq_res', [status(thm)], [zip_derived_cl1086])).
% 0.55/0.83 thf(zip_derived_cl1, plain,
% 0.55/0.83 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.83 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.83 thf(zip_derived_cl1098, plain, (((identity) != (identity))),
% 0.55/0.83 inference('demod', [status(thm)], [zip_derived_cl1097, zip_derived_cl1])).
% 0.55/0.83 thf(zip_derived_cl1099, plain, ($false),
% 0.55/0.83 inference('simplify', [status(thm)], [zip_derived_cl1098])).
% 0.55/0.83
% 0.55/0.83 % SZS output end Refutation
% 0.55/0.83
% 0.55/0.83
% 0.55/0.83 % Terminating...
% 0.55/0.86 % Runner terminated.
% 1.46/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------