TSTP Solution File: GRP337-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP337-1 : 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.r300U98T6p true
% Computer : n024.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 01:51:15 EDT 2023
% Result : Unsatisfiable 0.60s 0.90s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP337-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.r300U98T6p true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 21:46:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.90 % Solved by fo/fo7.sh.
% 0.60/0.90 % done 268 iterations in 0.102s
% 0.60/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.90 % SZS output start Refutation
% 0.60/0.90 thf(sk_c2_type, type, sk_c2: $i).
% 0.60/0.90 thf(sk_c6_type, type, sk_c6: $i).
% 0.60/0.90 thf(sk_c1_type, type, sk_c1: $i).
% 0.60/0.90 thf(identity_type, type, identity: $i).
% 0.60/0.90 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.60/0.90 thf(sk_c8_type, type, sk_c8: $i).
% 0.60/0.90 thf(inverse_type, type, inverse: $i > $i).
% 0.60/0.90 thf(sk_c4_type, type, sk_c4: $i).
% 0.60/0.90 thf(sk_c3_type, type, sk_c3: $i).
% 0.60/0.90 thf(sk_c7_type, type, sk_c7: $i).
% 0.60/0.90 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.60/0.90 thf(zip_derived_cl1, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.90 thf(prove_this_10, conjecture,
% 0.60/0.90 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 0.60/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.60/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.60/0.90 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.60/0.90 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.60/0.90 thf(zip_derived_cl12, plain,
% 0.60/0.90 ((((inverse @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.90 thf(zip_derived_cl1, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.90 thf(zip_derived_cl45, plain,
% 0.60/0.90 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.60/0.90 | ((inverse @ sk_c8) = (sk_c6)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 0.60/0.90 thf(zip_derived_cl1, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.90 thf(associativity, axiom,
% 0.60/0.90 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.60/0.90 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.60/0.90 thf(zip_derived_cl2, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.60/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.60/0.90 inference('cnf', [status(esa)], [associativity])).
% 0.60/0.90 thf(zip_derived_cl110, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 ((multiply @ identity @ X0)
% 0.60/0.90 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.60/0.90 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl129, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.90 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 0.60/0.90 thf(zip_derived_cl144, plain,
% 0.60/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.60/0.90 | ((inverse @ sk_c8) = (sk_c6)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl129])).
% 0.60/0.90 thf(prove_this_16, conjecture,
% 0.60/0.90 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.60/0.90 thf(zf_stmt_1, negated_conjecture,
% 0.60/0.90 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 0.60/0.90 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.60/0.90 thf(zip_derived_cl18, plain,
% 0.60/0.90 ((((inverse @ sk_c8) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.90 thf(zip_derived_cl255, plain,
% 0.60/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c7)
% 0.60/0.90 = (sk_c8))
% 0.60/0.90 | ((inverse @ sk_c8) = (sk_c6))
% 0.60/0.90 | ((inverse @ sk_c8) = (sk_c6)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl18])).
% 0.60/0.90 thf(zip_derived_cl2, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.60/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.60/0.90 inference('cnf', [status(esa)], [associativity])).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl265, plain,
% 0.60/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 0.60/0.90 | ((inverse @ sk_c8) = (sk_c6))
% 0.60/0.90 | ((inverse @ sk_c8) = (sk_c6)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl255, zip_derived_cl2, zip_derived_cl0])).
% 0.60/0.90 thf(zip_derived_cl266, plain,
% 0.60/0.90 ((((inverse @ sk_c8) = (sk_c6))
% 0.60/0.90 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl265])).
% 0.60/0.90 thf(prove_this_27, conjecture,
% 0.60/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.60/0.90 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 0.60/0.90 thf(zf_stmt_2, negated_conjecture,
% 0.60/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 0.60/0.90 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.60/0.90 thf(zip_derived_cl29, plain,
% 0.60/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c3)))),
% 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.60/0.90 thf(prove_this_21, conjecture,
% 0.60/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.60/0.90 thf(zf_stmt_3, negated_conjecture,
% 0.60/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 0.60/0.90 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.60/0.90 thf(zip_derived_cl23, plain,
% 0.60/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.90 thf(zip_derived_cl55, plain,
% 0.60/0.90 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7))
% 0.60/0.90 | ((inverse @ sk_c4) = (sk_c8))
% 0.60/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl23])).
% 0.60/0.90 thf(zip_derived_cl58, plain,
% 0.60/0.90 ((((inverse @ sk_c4) = (sk_c8))
% 0.60/0.90 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl55])).
% 0.60/0.90 thf(zip_derived_cl1, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.90 thf(zip_derived_cl129, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.90 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 0.60/0.90 thf(zip_derived_cl140, plain,
% 0.60/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl129])).
% 0.60/0.90 thf(zip_derived_cl129, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.90 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 0.60/0.90 thf(zip_derived_cl129, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.60/0.90 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 0.60/0.90 thf(zip_derived_cl137, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl129])).
% 0.60/0.90 thf(zip_derived_cl453, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl137])).
% 0.60/0.90 thf(zip_derived_cl140, plain,
% 0.60/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl129])).
% 0.60/0.90 thf(zip_derived_cl480, plain,
% 0.60/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl140])).
% 0.60/0.90 thf(zip_derived_cl1, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.90 thf(zip_derived_cl485, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl1])).
% 0.60/0.90 thf(zip_derived_cl1301, plain,
% 0.60/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.60/0.90 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl485])).
% 0.60/0.90 thf(zip_derived_cl480, plain,
% 0.60/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl140])).
% 0.60/0.90 thf(zip_derived_cl1303, plain,
% 0.60/0.90 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl1301, zip_derived_cl480])).
% 0.60/0.90 thf(prove_this_26, conjecture,
% 0.60/0.90 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.60/0.90 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 0.60/0.90 thf(zf_stmt_4, negated_conjecture,
% 0.60/0.90 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.60/0.90 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 0.60/0.90 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.60/0.90 thf(zip_derived_cl28, plain,
% 0.60/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c3)))),
% 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.90 thf(prove_this_20, conjecture,
% 0.60/0.90 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.60/0.90 thf(zf_stmt_5, negated_conjecture,
% 0.60/0.90 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 0.60/0.90 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.60/0.90 thf(zip_derived_cl22, plain,
% 0.60/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.60/0.90 | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.60/0.90 thf(zip_derived_cl840, plain,
% 0.60/0.90 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7))
% 0.60/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.60/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl22])).
% 0.60/0.90 thf(zip_derived_cl485, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl1])).
% 0.60/0.90 thf(zip_derived_cl850, plain,
% 0.60/0.90 ((((identity) = (sk_c7))
% 0.60/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.60/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.60/0.90 inference('demod', [status(thm)], [zip_derived_cl840, zip_derived_cl485])).
% 0.60/0.90 thf(zip_derived_cl851, plain,
% 0.60/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl850])).
% 0.60/0.90 thf(zip_derived_cl1317, plain,
% 0.60/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.60/0.90 | ((identity) = (sk_c7))
% 0.60/0.90 | ((identity) = (sk_c7)))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl1303, zip_derived_cl851])).
% 0.60/0.90 thf(zip_derived_cl1, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.90 thf(zip_derived_cl1325, plain,
% 0.60/0.90 ((((identity) = (sk_c7))
% 0.60/0.90 | ((identity) = (sk_c7))
% 0.60/0.90 | ((identity) = (sk_c7)))),
% 0.60/0.90 inference('demod', [status(thm)], [zip_derived_cl1317, zip_derived_cl1])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl453, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl137])).
% 0.60/0.90 thf(zip_derived_cl1380, plain,
% 0.60/0.90 ((((inverse @ sk_c8) = (sk_c6)) | ((inverse @ sk_c8) = (sk_c8)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl266, zip_derived_cl1326, zip_derived_cl453])).
% 0.60/0.90 thf(prove_this_1, conjecture,
% 0.60/0.90 (~( ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 0.60/0.90 thf(zf_stmt_6, negated_conjecture,
% 0.60/0.90 (( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 0.60/0.90 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.60/0.90 thf(zip_derived_cl3, plain,
% 0.60/0.90 ((((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 0.60/0.90 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl1330, plain, ((((sk_c6) = (sk_c8)) | ((sk_c8) = (sk_c6)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl3, zip_derived_cl1326, zip_derived_cl0,
% 0.60/0.90 zip_derived_cl1326, zip_derived_cl0])).
% 0.60/0.90 thf(zip_derived_cl1331, plain, (((sk_c6) = (sk_c8))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1330])).
% 0.60/0.90 thf(zip_derived_cl1503, plain,
% 0.60/0.90 ((((inverse @ sk_c8) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c8)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl1380, zip_derived_cl1331])).
% 0.60/0.90 thf(zip_derived_cl1504, plain, (((inverse @ sk_c8) = (sk_c8))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1503])).
% 0.60/0.90 thf(zip_derived_cl1504, plain, (((inverse @ sk_c8) = (sk_c8))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1503])).
% 0.60/0.90 thf(prove_this_37, conjecture,
% 0.60/0.90 (~( ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.60/0.90 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.60/0.90 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 0.60/0.90 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ X5 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.60/0.90 ( ( inverse @ X4 ) != ( X5 ) ) |
% 0.60/0.90 ( ( multiply @ X4 @ X5 ) != ( sk_c7 ) ) |
% 0.60/0.90 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.60/0.90 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) ))).
% 0.60/0.90 thf(zf_stmt_7, negated_conjecture,
% 0.60/0.90 (( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.60/0.90 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.60/0.90 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 0.60/0.90 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ X5 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.60/0.90 ( ( inverse @ X4 ) != ( X5 ) ) |
% 0.60/0.90 ( ( multiply @ X4 @ X5 ) != ( sk_c7 ) ) |
% 0.60/0.90 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.60/0.90 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.60/0.90 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) )),
% 0.60/0.90 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 0.60/0.90 thf(zip_derived_cl39, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.90 (((inverse @ X0) != (sk_c6))
% 0.60/0.90 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 0.60/0.90 | ((inverse @ sk_c8) != (sk_c6))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 0.60/0.90 | ((multiply @ sk_c7 @ sk_c6) != (sk_c8))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (sk_c7))
% 0.60/0.90 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 0.60/0.90 | ((inverse @ X4) != (sk_c8))
% 0.60/0.90 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.60/0.90 thf(zip_derived_cl40, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.90 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 0.60/0.90 | ((inverse @ sk_c8) != (sk_c6))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 0.60/0.90 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c8))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (sk_c7))
% 0.60/0.90 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 0.60/0.90 | ((inverse @ X4) != (sk_c8))
% 0.60/0.90 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 0.60/0.90 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl453, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl137])).
% 0.60/0.90 thf(zip_derived_cl1326, plain, (((identity) = (sk_c7))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.60/0.90 thf(zip_derived_cl0, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_identity])).
% 0.60/0.90 thf(zip_derived_cl1361, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.90 (((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ sk_c8) != (sk_c6))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((sk_c8) != (sk_c8))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((X4) != (sk_c8))
% 0.60/0.90 | ((inverse @ X4) != (sk_c8))
% 0.60/0.90 | ((sk_c8) != (sk_c6)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl40, zip_derived_cl1326, zip_derived_cl0,
% 0.60/0.90 zip_derived_cl1326, zip_derived_cl0, zip_derived_cl1326,
% 0.60/0.90 zip_derived_cl1326, zip_derived_cl1326, zip_derived_cl1326,
% 0.60/0.90 zip_derived_cl0, zip_derived_cl0, zip_derived_cl1326,
% 0.60/0.90 zip_derived_cl1326, zip_derived_cl1326, zip_derived_cl453,
% 0.60/0.90 zip_derived_cl1326, zip_derived_cl0])).
% 0.60/0.90 thf(zip_derived_cl1362, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.90 (((sk_c8) != (sk_c6))
% 0.60/0.90 | ((inverse @ X4) != (sk_c8))
% 0.60/0.90 | ((X4) != (sk_c8))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((inverse @ sk_c8) != (sk_c6))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X0) != (sk_c8)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1361])).
% 0.60/0.90 thf(zip_derived_cl1331, plain, (((sk_c6) = (sk_c8))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1330])).
% 0.60/0.90 thf(zip_derived_cl1331, plain, (((sk_c6) = (sk_c8))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1330])).
% 0.60/0.90 thf(zip_derived_cl1427, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.90 (((sk_c8) != (sk_c8))
% 0.60/0.90 | ((inverse @ X4) != (sk_c8))
% 0.60/0.90 | ((X4) != (sk_c8))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((inverse @ sk_c8) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X0) != (sk_c8)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl1362, zip_derived_cl1331, zip_derived_cl1331])).
% 0.60/0.90 thf(zip_derived_cl1428, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.90 (((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ sk_c8) != (sk_c8))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((X4) != (sk_c8))
% 0.60/0.90 | ((inverse @ X4) != (sk_c8)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1427])).
% 0.60/0.90 thf(zip_derived_cl1504, plain, (((inverse @ sk_c8) = (sk_c8))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1503])).
% 0.60/0.90 thf(zip_derived_cl1506, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.90 (((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((sk_c8) != (sk_c8))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((X4) != (sk_c8))
% 0.60/0.90 | ((inverse @ X4) != (sk_c8)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl1428, zip_derived_cl1504])).
% 0.60/0.90 thf(zip_derived_cl1507, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.90 (((inverse @ X4) != (sk_c8))
% 0.60/0.90 | ((X4) != (sk_c8))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X0) != (sk_c8)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1506])).
% 0.60/0.90 thf(zip_derived_cl1556, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.90 (((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((inverse @ sk_c8) != (sk_c8)))),
% 0.60/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1507])).
% 0.60/0.90 thf(zip_derived_cl1504, plain, (((inverse @ sk_c8) = (sk_c8))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1503])).
% 0.60/0.90 thf(zip_derived_cl1557, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.90 (((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((sk_c8) != (sk_c8)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl1556, zip_derived_cl1504])).
% 0.60/0.90 thf(zip_derived_cl1558, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.90 (((multiply @ X3 @ X2) != (identity))
% 0.60/0.90 | ((inverse @ X3) != (X2))
% 0.60/0.90 | ((multiply @ X2 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X0) != (sk_c8)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1557])).
% 0.60/0.90 thf(zip_derived_cl1564, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.90 (((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ (inverse @ X2) @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X2 @ (inverse @ X2)) != (identity)))),
% 0.60/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1558])).
% 0.60/0.90 thf(zip_derived_cl485, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl1])).
% 0.60/0.90 thf(zip_derived_cl1565, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.90 (((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ (inverse @ X2) @ sk_c8) != (identity))
% 0.60/0.90 | ((identity) != (identity)))),
% 0.60/0.90 inference('demod', [status(thm)], [zip_derived_cl1564, zip_derived_cl485])).
% 0.60/0.90 thf(zip_derived_cl1566, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.90 (((multiply @ (inverse @ X2) @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X1) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X0) != (sk_c8)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1565])).
% 0.60/0.90 thf(zip_derived_cl1570, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 (((sk_c8) != (sk_c8))
% 0.60/0.90 | ((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ (inverse @ X1) @ sk_c8) != (identity)))),
% 0.60/0.90 inference('sup-', [status(thm)], [zip_derived_cl1504, zip_derived_cl1566])).
% 0.60/0.90 thf(zip_derived_cl1504, plain, (((inverse @ sk_c8) = (sk_c8))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1503])).
% 0.60/0.90 thf(zip_derived_cl1, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.60/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 0.60/0.90 thf(zip_derived_cl1508, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl1504, zip_derived_cl1])).
% 0.60/0.90 thf(zip_derived_cl1573, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 (((sk_c8) != (sk_c8))
% 0.60/0.90 | ((inverse @ X0) != (sk_c8))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((identity) != (identity))
% 0.60/0.90 | ((multiply @ (inverse @ X1) @ sk_c8) != (identity)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl1570, zip_derived_cl1508])).
% 0.60/0.90 thf(zip_derived_cl1574, plain,
% 0.60/0.90 (![X0 : $i, X1 : $i]:
% 0.60/0.90 (((multiply @ (inverse @ X1) @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ X0 @ sk_c8) != (identity))
% 0.60/0.90 | ((inverse @ X0) != (sk_c8)))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1573])).
% 0.60/0.90 thf(zip_derived_cl1578, plain,
% 0.60/0.90 (![X0 : $i]:
% 0.60/0.90 (((sk_c8) != (sk_c8))
% 0.60/0.90 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.60/0.90 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity)))),
% 0.60/0.90 inference('sup-', [status(thm)], [zip_derived_cl1504, zip_derived_cl1574])).
% 0.60/0.90 thf(zip_derived_cl1508, plain, (((multiply @ sk_c8 @ sk_c8) = (identity))),
% 0.60/0.90 inference('sup+', [status(thm)], [zip_derived_cl1504, zip_derived_cl1])).
% 0.60/0.90 thf(zip_derived_cl1581, plain,
% 0.60/0.90 (![X0 : $i]:
% 0.60/0.90 (((sk_c8) != (sk_c8))
% 0.60/0.90 | ((identity) != (identity))
% 0.60/0.90 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity)))),
% 0.60/0.90 inference('demod', [status(thm)],
% 0.60/0.90 [zip_derived_cl1578, zip_derived_cl1508])).
% 0.60/0.90 thf(zip_derived_cl1582, plain,
% 0.60/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ sk_c8) != (identity))),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1581])).
% 0.60/0.90 thf(zip_derived_cl1585, plain, (((identity) != (identity))),
% 0.60/0.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1582])).
% 0.60/0.90 thf(zip_derived_cl1591, plain, ($false),
% 0.60/0.90 inference('simplify', [status(thm)], [zip_derived_cl1585])).
% 0.60/0.90
% 0.60/0.90 % SZS output end Refutation
% 0.60/0.90
% 0.60/0.90
% 0.60/0.90 % Terminating...
% 0.63/0.97 % Runner terminated.
% 0.63/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------