%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP363-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pUHhHVXnyv true
% Computer : n013.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 Oct 2 04:36:18 PM UTC 2025
% Result : Unsatisfiable 4.30s 1.21s
% Output : Refutation 4.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP363-1 : TPTP v9.2.0. Released v2.5.0.
% 0.14/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pUHhHVXnyv true
% 0.14/0.34 % Computer : n013.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 : Wed Oct 1 14:14:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.58/0.65 % Total configuration time : 435
% 0.58/0.65 % Estimated wc time : 1092
% 0.58/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.30/1.21 % Solved by fo/fo13.sh.
% 4.30/1.21 % done 1388 iterations in 0.424s
% 4.30/1.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.30/1.21 % SZS output start Refutation
% 4.30/1.21 thf(sk_c1_type, type, sk_c1: $i).
% 4.30/1.21 thf(sk_c7_type, type, sk_c7: $i).
% 4.30/1.21 thf(sk_c3_type, type, sk_c3: $i).
% 4.30/1.21 thf(sk_c4_type, type, sk_c4: $i).
% 4.30/1.21 thf(identity_type, type, identity: $i).
% 4.30/1.21 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.30/1.21 thf(sk_c5_type, type, sk_c5: $i).
% 4.30/1.21 thf(inverse_type, type, inverse: $i > $i).
% 4.30/1.21 thf(sk_c2_type, type, sk_c2: $i).
% 4.30/1.21 thf(sk_c6_type, type, sk_c6: $i).
% 4.30/1.21 thf(prove_this_25, conjecture,
% 4.30/1.21 (~( ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 4.30/1.21 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 4.30/1.21 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) ))).
% 4.30/1.21 thf(zf_stmt_0, negated_conjecture,
% 4.30/1.21 (( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 4.30/1.21 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 4.30/1.21 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c6 ) != ( sk_c5 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 4.30/1.21 thf(zip_derived_cl27, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.30/1.21 (((inverse @ X0) != (sk_c7))
% 4.30/1.21 | ((multiply @ X0 @ sk_c7) != (X1))
% 4.30/1.21 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 4.30/1.21 | ((inverse @ X2) != (sk_c6))
% 4.30/1.21 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 4.30/1.21 | ((inverse @ X3) != (sk_c6))
% 4.30/1.21 | ((multiply @ X3 @ sk_c6) != (sk_c5))
% 4.30/1.21 | ((inverse @ sk_c6) != (sk_c5))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.30/1.21 thf(prove_this_8, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.30/1.21 thf(zf_stmt_1, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c6 ) = ( sk_c5 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 4.30/1.21 thf(zip_derived_cl10, plain,
% 4.30/1.21 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.30/1.21 thf(prove_this_2, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 4.30/1.21 thf(zf_stmt_2, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 4.30/1.21 thf(zip_derived_cl4, plain,
% 4.30/1.21 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.30/1.21 thf(prove_this_3, conjecture,
% 4.30/1.21 (~( ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 4.30/1.21 thf(zf_stmt_3, negated_conjecture,
% 4.30/1.21 (( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 4.30/1.21 thf(zip_derived_cl5, plain,
% 4.30/1.21 ((((inverse @ sk_c2) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.30/1.21 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl32, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c2) = (identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 4.30/1.21 thf(associativity, axiom,
% 4.30/1.21 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 4.30/1.21 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 4.30/1.21 thf(zip_derived_cl2, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.30/1.21 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.30/1.21 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.30/1.21 inference('cnf', [status(esa)], [associativity])).
% 4.30/1.21 thf(zip_derived_cl77, plain,
% 4.30/1.21 (![X0 : $i]:
% 4.30/1.21 (((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.30/1.21 | ((multiply @ identity @ X0)
% 4.30/1.21 = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl2])).
% 4.30/1.21 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl78, plain,
% 4.30/1.21 (![X0 : $i]:
% 4.30/1.21 (((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.30/1.21 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl77, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl100, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.30/1.21 | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl78])).
% 4.30/1.21 thf(zip_derived_cl103, plain,
% 4.30/1.21 ((((sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl100])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl2, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.30/1.21 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.30/1.21 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.30/1.21 inference('cnf', [status(esa)], [associativity])).
% 4.30/1.21 thf(zip_derived_cl39, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((multiply @ identity @ X0)
% 4.30/1.21 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl120, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.30/1.21 | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl164, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7)) | ((sk_c7) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl167, plain,
% 4.30/1.21 ((((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c5) = (multiply @ (inverse @ sk_c6) @ sk_c7)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl177, plain,
% 4.30/1.21 ((((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c7) = (multiply @ (inverse @ (inverse @ sk_c6)) @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl376, plain,
% 4.30/1.21 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7))
% 4.30/1.21 | ((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c7) = (multiply @ (inverse @ sk_c5) @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl177])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl383, plain,
% 4.30/1.21 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7))
% 4.30/1.21 | ((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c7) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl376, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl384, plain,
% 4.30/1.21 ((((sk_c7) = (identity)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl383])).
% 4.30/1.21 thf(prove_this_9, conjecture,
% 4.30/1.21 (~( ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.30/1.21 thf(zf_stmt_4, negated_conjecture,
% 4.30/1.21 (( ( inverse @ sk_c2 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c6 ) = ( sk_c5 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 4.30/1.21 thf(zip_derived_cl11, plain,
% 4.30/1.21 ((((inverse @ sk_c2) = (sk_c6)) | ((inverse @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl28, plain,
% 4.30/1.21 ((((inverse @ sk_c6) = (sk_c5))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c2) = (identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl177, plain,
% 4.30/1.21 ((((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c7) = (multiply @ (inverse @ (inverse @ sk_c6)) @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl379, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 4.30/1.21 | ((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c7) = (multiply @ (inverse @ sk_c5) @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl177])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl389, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 4.30/1.21 | ((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c7) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl379, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl390, plain,
% 4.30/1.21 ((((sk_c7) = (identity)) | ((multiply @ sk_c6 @ sk_c2) = (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl389])).
% 4.30/1.21 thf(zip_derived_cl2, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.30/1.21 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.30/1.21 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.30/1.21 inference('cnf', [status(esa)], [associativity])).
% 4.30/1.21 thf(zip_derived_cl451, plain,
% 4.30/1.21 (![X0 : $i]:
% 4.30/1.21 (((sk_c7) = (identity))
% 4.30/1.21 | ((multiply @ identity @ X0)
% 4.30/1.21 = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl2])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl454, plain,
% 4.30/1.21 (![X0 : $i]:
% 4.30/1.21 (((sk_c7) = (identity))
% 4.30/1.21 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl578, plain,
% 4.30/1.21 ((((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl454])).
% 4.30/1.21 thf(zip_derived_cl579, plain,
% 4.30/1.21 ((((sk_c6) = (multiply @ sk_c6 @ sk_c7)) | ((sk_c7) = (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl578])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl582, plain,
% 4.30/1.21 ((((sk_c7) = (identity))
% 4.30/1.21 | ((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl579, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl589, plain,
% 4.30/1.21 ((((sk_c7) = (identity)) | ((sk_c7) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl582, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl613, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.30/1.21 (((inverse @ X0) != (identity))
% 4.30/1.21 | ((multiply @ X0 @ identity) != (X1))
% 4.30/1.21 | ((X1) != (sk_c6))
% 4.30/1.21 | ((inverse @ X2) != (sk_c6))
% 4.30/1.21 | ((multiply @ X2 @ sk_c6) != (identity))
% 4.30/1.21 | ((multiply @ sk_c6 @ identity) != (sk_c5))
% 4.30/1.21 | ((inverse @ X3) != (sk_c6))
% 4.30/1.21 | ((multiply @ X3 @ sk_c6) != (sk_c5))
% 4.30/1.21 | ((inverse @ sk_c6) != (sk_c5))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) != (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl27, zip_derived_cl590, zip_derived_cl590,
% 4.30/1.21 zip_derived_cl590, zip_derived_cl0, zip_derived_cl590,
% 4.30/1.21 zip_derived_cl590, zip_derived_cl590])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl115, plain,
% 4.30/1.21 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl112, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl4231, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.30/1.21 (((inverse @ X0) != (identity))
% 4.30/1.21 | ((X0) != (X1))
% 4.30/1.21 | ((X1) != (sk_c6))
% 4.30/1.21 | ((inverse @ X2) != (sk_c6))
% 4.30/1.21 | ((multiply @ X2 @ sk_c6) != (identity))
% 4.30/1.21 | ((sk_c6) != (sk_c5))
% 4.30/1.21 | ((inverse @ X3) != (sk_c6))
% 4.30/1.21 | ((multiply @ X3 @ sk_c6) != (sk_c5))
% 4.30/1.21 | ((inverse @ sk_c6) != (sk_c5))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) != (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl613, zip_derived_cl1789, zip_derived_cl1789])).
% 4.30/1.21 thf(prove_this_23, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 4.30/1.21 thf(zf_stmt_5, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 4.30/1.21 thf(zip_derived_cl25, plain,
% 4.30/1.21 ((((multiply @ sk_c3 @ sk_c7) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c6)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl611, plain,
% 4.30/1.21 ((((multiply @ sk_c3 @ identity) = (sk_c4))
% 4.30/1.21 | ((inverse @ sk_c1) = (sk_c6)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl590])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl2255, plain,
% 4.30/1.21 ((((sk_c3) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c6)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl611, zip_derived_cl1789])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl115, plain,
% 4.30/1.21 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl2279, plain,
% 4.30/1.21 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.30/1.21 inference('s_sup+', [status(thm)],
% 4.30/1.21 [zip_derived_cl1789, zip_derived_cl115])).
% 4.30/1.21 thf(zip_derived_cl3366, plain,
% 4.30/1.21 ((((sk_c3) = (sk_c4)) | ((sk_c1) = (inverse @ sk_c6)))),
% 4.30/1.21 inference('s_sup+', [status(thm)],
% 4.30/1.21 [zip_derived_cl2255, zip_derived_cl2279])).
% 4.30/1.21 thf(prove_this_11, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.30/1.21 thf(zf_stmt_6, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c6 ) = ( sk_c5 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 4.30/1.21 thf(zip_derived_cl13, plain,
% 4.30/1.21 ((((multiply @ sk_c3 @ sk_c7) = (sk_c4)) | ((inverse @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl601, plain,
% 4.30/1.21 ((((multiply @ sk_c3 @ identity) = (sk_c4))
% 4.30/1.21 | ((inverse @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl590])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl2253, plain,
% 4.30/1.21 ((((sk_c3) = (sk_c4)) | ((inverse @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl601, zip_derived_cl1789])).
% 4.30/1.21 thf(zip_derived_cl3492, plain,
% 4.30/1.21 ((((sk_c3) = (sk_c4)) | ((sk_c3) = (sk_c4)) | ((sk_c1) = (sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)],
% 4.30/1.21 [zip_derived_cl3366, zip_derived_cl2253])).
% 4.30/1.21 thf(zip_derived_cl3496, plain, ((((sk_c1) = (sk_c5)) | ((sk_c3) = (sk_c4)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl3492])).
% 4.30/1.21 thf(prove_this_17, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.30/1.21 thf(zf_stmt_7, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c4 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 4.30/1.21 thf(zip_derived_cl19, plain,
% 4.30/1.21 ((((multiply @ sk_c3 @ sk_c7) = (sk_c4))
% 4.30/1.21 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl606, plain,
% 4.30/1.21 ((((multiply @ sk_c3 @ identity) = (sk_c4))
% 4.30/1.21 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl590])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl4179, plain,
% 4.30/1.21 ((((sk_c3) = (sk_c4)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl606, zip_derived_cl1789])).
% 4.30/1.21 thf(zip_derived_cl4197, plain,
% 4.30/1.21 ((((sk_c3) = (sk_c4))
% 4.30/1.21 | ((sk_c3) = (sk_c4))
% 4.30/1.21 | ((multiply @ sk_c5 @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)],
% 4.30/1.21 [zip_derived_cl3496, zip_derived_cl4179])).
% 4.30/1.21 thf(zip_derived_cl4200, plain,
% 4.30/1.21 ((((multiply @ sk_c5 @ sk_c6) = (sk_c5)) | ((sk_c3) = (sk_c4)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4197])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl4214, plain,
% 4.30/1.21 ((((sk_c3) = (sk_c4))
% 4.30/1.21 | ((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl4200, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl4225, plain,
% 4.30/1.21 ((((sk_c3) = (sk_c4)) | ((sk_c6) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl4214, zip_derived_cl1])).
% 4.30/1.21 thf(prove_this_24, conjecture,
% 4.30/1.21 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 4.30/1.21 thf(zf_stmt_8, negated_conjecture,
% 4.30/1.21 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 4.30/1.21 thf(zip_derived_cl26, plain,
% 4.30/1.21 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c6)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl31, plain,
% 4.30/1.21 ((((inverse @ sk_c3) = (sk_c7))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl57, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 4.30/1.21 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl631, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c1) = (identity)) | ((sk_c3) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl57, zip_derived_cl590, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl763, plain,
% 4.30/1.21 ((((sk_c3) = (identity))
% 4.30/1.21 | ((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl631, zip_derived_cl41])).
% 4.30/1.21 thf(prove_this_6, conjecture,
% 4.30/1.21 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 4.30/1.21 thf(zf_stmt_9, negated_conjecture,
% 4.30/1.21 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 4.30/1.21 thf(zip_derived_cl8, plain,
% 4.30/1.21 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl33, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.30/1.21 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl617, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c5) = (identity)) | ((sk_c3) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl33, zip_derived_cl590, zip_derived_cl590,
% 4.30/1.21 zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl716, plain,
% 4.30/1.21 ((((sk_c3) = (identity))
% 4.30/1.21 | ((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl617, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl1240, plain,
% 4.30/1.21 ((((sk_c3) = (identity)) | ((sk_c3) = (identity)) | ((sk_c5) = (sk_c1)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl763, zip_derived_cl716])).
% 4.30/1.21 thf(zip_derived_cl1249, plain,
% 4.30/1.21 ((((sk_c5) = (sk_c1)) | ((sk_c3) = (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl1240])).
% 4.30/1.21 thf(prove_this_18, conjecture,
% 4.30/1.21 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.30/1.21 thf(zf_stmt_10, negated_conjecture,
% 4.30/1.21 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 4.30/1.21 thf(zip_derived_cl20, plain,
% 4.30/1.21 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl46, plain,
% 4.30/1.21 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 4.30/1.21 | ((multiply @ sk_c7 @ sk_c3) = (identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl622, plain,
% 4.30/1.21 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5)) | ((sk_c3) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl46, zip_derived_cl590, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl705, plain,
% 4.30/1.21 ((((sk_c3) = (identity))
% 4.30/1.21 | ((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl622, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl1268, plain,
% 4.30/1.21 ((((sk_c3) = (identity))
% 4.30/1.21 | ((sk_c3) = (identity))
% 4.30/1.21 | ((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)],
% 4.30/1.21 [zip_derived_cl1249, zip_derived_cl705])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl1277, plain,
% 4.30/1.21 ((((sk_c3) = (identity))
% 4.30/1.21 | ((sk_c3) = (identity))
% 4.30/1.21 | ((sk_c6) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl1268, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl1278, plain,
% 4.30/1.21 ((((sk_c6) = (identity)) | ((sk_c3) = (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl1277])).
% 4.30/1.21 thf(zip_derived_cl4245, plain,
% 4.30/1.21 ((((sk_c6) = (identity))
% 4.30/1.21 | ((sk_c6) = (identity))
% 4.30/1.21 | ((sk_c4) = (identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)],
% 4.30/1.21 [zip_derived_cl4225, zip_derived_cl1278])).
% 4.30/1.21 thf(zip_derived_cl4251, plain,
% 4.30/1.21 ((((sk_c4) = (identity)) | ((sk_c6) = (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4245])).
% 4.30/1.21 thf(prove_this_22, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 4.30/1.21 thf(zf_stmt_11, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 4.30/1.21 thf(zip_derived_cl24, plain,
% 4.30/1.21 ((((multiply @ sk_c7 @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.30/1.21 thf(prove_this_16, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 4.30/1.21 thf(zf_stmt_12, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 4.30/1.21 thf(zip_derived_cl18, plain,
% 4.30/1.21 ((((multiply @ sk_c7 @ sk_c4) = (sk_c6))
% 4.30/1.21 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_12])).
% 4.30/1.21 thf(zip_derived_cl41, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl140, plain,
% 4.30/1.21 ((((multiply @ sk_c7 @ sk_c4) = (sk_c6))
% 4.30/1.21 | ((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl41])).
% 4.30/1.21 thf(zip_derived_cl405, plain,
% 4.30/1.21 ((((multiply @ sk_c7 @ sk_c4) = (sk_c6))
% 4.30/1.21 | ((multiply @ sk_c7 @ sk_c4) = (sk_c6))
% 4.30/1.21 | ((sk_c6) = (multiply @ sk_c6 @ sk_c5)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl140])).
% 4.30/1.21 thf(zip_derived_cl408, plain,
% 4.30/1.21 ((((sk_c6) = (multiply @ sk_c6 @ sk_c5))
% 4.30/1.21 | ((multiply @ sk_c7 @ sk_c4) = (sk_c6)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl405])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl662, plain,
% 4.30/1.21 ((((sk_c6) = (multiply @ sk_c6 @ sk_c5)) | ((sk_c4) = (sk_c6)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl408, zip_derived_cl590, zip_derived_cl0])).
% 4.30/1.21 thf(prove_this_4, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 4.30/1.21 thf(zf_stmt_13, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c7 @ sk_c4 ) = ( sk_c6 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 4.30/1.21 thf(zip_derived_cl6, plain,
% 4.30/1.21 ((((multiply @ sk_c7 @ sk_c4) = (sk_c6))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl595, plain,
% 4.30/1.21 ((((sk_c4) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c5) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl6, zip_derived_cl590, zip_derived_cl0,
% 4.30/1.21 zip_derived_cl590])).
% 4.30/1.21 thf(zip_derived_cl710, plain,
% 4.30/1.21 ((((sk_c4) = (sk_c6)) | ((sk_c4) = (sk_c6)) | ((sk_c6) = (identity)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl662, zip_derived_cl595])).
% 4.30/1.21 thf(zip_derived_cl711, plain,
% 4.30/1.21 ((((sk_c6) = (identity)) | ((sk_c4) = (sk_c6)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl710])).
% 4.30/1.21 thf(zip_derived_cl4269, plain,
% 4.30/1.21 ((((sk_c6) = (identity))
% 4.30/1.21 | ((sk_c6) = (identity))
% 4.30/1.21 | ((identity) = (sk_c6)))),
% 4.30/1.21 inference('s_sup+', [status(thm)],
% 4.30/1.21 [zip_derived_cl4251, zip_derived_cl711])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl1789, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl112])).
% 4.30/1.21 thf(zip_derived_cl1, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 4.30/1.21 thf(zip_derived_cl2274, plain, (((inverse @ identity) = (identity))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl4428, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.30/1.21 (((inverse @ X0) != (identity))
% 4.30/1.21 | ((X0) != (X1))
% 4.30/1.21 | ((X1) != (identity))
% 4.30/1.21 | ((inverse @ X2) != (identity))
% 4.30/1.21 | ((X2) != (identity))
% 4.30/1.21 | ((identity) != (sk_c5))
% 4.30/1.21 | ((inverse @ X3) != (identity))
% 4.30/1.21 | ((X3) != (sk_c5))
% 4.30/1.21 | ((identity) != (sk_c5))
% 4.30/1.21 | ((sk_c5) != (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl4231, zip_derived_cl4281, zip_derived_cl4281,
% 4.30/1.21 zip_derived_cl4281, zip_derived_cl1789, zip_derived_cl4281,
% 4.30/1.21 zip_derived_cl4281, zip_derived_cl4281, zip_derived_cl1789,
% 4.30/1.21 zip_derived_cl4281, zip_derived_cl2274, zip_derived_cl4281,
% 4.30/1.21 zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl4429, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.30/1.21 (((X3) != (sk_c5))
% 4.30/1.21 | ((inverse @ X3) != (identity))
% 4.30/1.21 | ((identity) != (sk_c5))
% 4.30/1.21 | ((X2) != (identity))
% 4.30/1.21 | ((inverse @ X2) != (identity))
% 4.30/1.21 | ((X1) != (identity))
% 4.30/1.21 | ((X0) != (X1))
% 4.30/1.21 | ((inverse @ X0) != (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4428])).
% 4.30/1.21 thf(zip_derived_cl103, plain,
% 4.30/1.21 ((((sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl100])).
% 4.30/1.21 thf(prove_this_1, conjecture,
% 4.30/1.21 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 4.30/1.21 thf(zf_stmt_14, negated_conjecture,
% 4.30/1.21 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 4.30/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 4.30/1.21 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 4.30/1.21 thf(zip_derived_cl3, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('cnf', [status(esa)], [zf_stmt_14])).
% 4.30/1.21 thf(zip_derived_cl106, plain,
% 4.30/1.21 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 4.30/1.21 | ((sk_c6) = (sk_c5))
% 4.30/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl3])).
% 4.30/1.21 thf(zip_derived_cl107, plain,
% 4.30/1.21 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 4.30/1.21 thf(zip_derived_cl590, plain, (((sk_c7) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl589])).
% 4.30/1.21 thf(zip_derived_cl637, plain,
% 4.30/1.21 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c5) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl590])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl4281, plain, (((sk_c6) = (identity))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4269])).
% 4.30/1.21 thf(zip_derived_cl0, plain,
% 4.30/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.30/1.21 inference('cnf', [status(esa)], [left_identity])).
% 4.30/1.21 thf(zip_derived_cl4333, plain,
% 4.30/1.21 ((((identity) = (sk_c5)) | ((sk_c5) = (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl637, zip_derived_cl4281, zip_derived_cl4281,
% 4.30/1.21 zip_derived_cl0])).
% 4.30/1.21 thf(zip_derived_cl4334, plain, (((identity) = (sk_c5))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4333])).
% 4.30/1.21 thf(zip_derived_cl4334, plain, (((identity) = (sk_c5))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl4333])).
% 4.30/1.21 thf(zip_derived_cl5873, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.30/1.21 (((X3) != (identity))
% 4.30/1.21 | ((inverse @ X3) != (identity))
% 4.30/1.21 | ((identity) != (identity))
% 4.30/1.21 | ((X2) != (identity))
% 4.30/1.21 | ((inverse @ X2) != (identity))
% 4.30/1.21 | ((X1) != (identity))
% 4.30/1.21 | ((X0) != (X1))
% 4.30/1.21 | ((inverse @ X0) != (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl4429, zip_derived_cl4334, zip_derived_cl4334])).
% 4.30/1.21 thf(zip_derived_cl5874, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.30/1.21 (((inverse @ X0) != (identity))
% 4.30/1.21 | ((X0) != (X1))
% 4.30/1.21 | ((X1) != (identity))
% 4.30/1.21 | ((inverse @ X2) != (identity))
% 4.30/1.21 | ((X2) != (identity))
% 4.30/1.21 | ((inverse @ X3) != (identity))
% 4.30/1.21 | ((X3) != (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl5873])).
% 4.30/1.21 thf(zip_derived_cl5875, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.30/1.21 (((X0) != (identity))
% 4.30/1.21 | ((inverse @ X0) != (identity))
% 4.30/1.21 | ((X1) != (identity))
% 4.30/1.21 | ((inverse @ X1) != (identity))
% 4.30/1.21 | ((X2) != (identity))
% 4.30/1.21 | ((inverse @ X2) != (identity)))),
% 4.30/1.21 inference('eq_res', [status(thm)], [zip_derived_cl5874])).
% 4.30/1.21 thf(zip_derived_cl5876, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 (((inverse @ X0) != (identity))
% 4.30/1.21 | ((X0) != (identity))
% 4.30/1.21 | ((inverse @ X1) != (identity))
% 4.30/1.21 | ((X1) != (identity))
% 4.30/1.21 | ((inverse @ identity) != (identity)))),
% 4.30/1.21 inference('eq_res', [status(thm)], [zip_derived_cl5875])).
% 4.30/1.21 thf(zip_derived_cl2274, plain, (((inverse @ identity) = (identity))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl5877, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 (((inverse @ X0) != (identity))
% 4.30/1.21 | ((X0) != (identity))
% 4.30/1.21 | ((inverse @ X1) != (identity))
% 4.30/1.21 | ((X1) != (identity))
% 4.30/1.21 | ((identity) != (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl5876, zip_derived_cl2274])).
% 4.30/1.21 thf(zip_derived_cl5878, plain,
% 4.30/1.21 (![X0 : $i, X1 : $i]:
% 4.30/1.21 (((X1) != (identity))
% 4.30/1.21 | ((inverse @ X1) != (identity))
% 4.30/1.21 | ((X0) != (identity))
% 4.30/1.21 | ((inverse @ X0) != (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl5877])).
% 4.30/1.21 thf(zip_derived_cl5891, plain,
% 4.30/1.21 (![X0 : $i]:
% 4.30/1.21 (((inverse @ X0) != (identity))
% 4.30/1.21 | ((X0) != (identity))
% 4.30/1.21 | ((inverse @ identity) != (identity)))),
% 4.30/1.21 inference('eq_res', [status(thm)], [zip_derived_cl5878])).
% 4.30/1.21 thf(zip_derived_cl2274, plain, (((inverse @ identity) = (identity))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl5892, plain,
% 4.30/1.21 (![X0 : $i]:
% 4.30/1.21 (((inverse @ X0) != (identity))
% 4.30/1.21 | ((X0) != (identity))
% 4.30/1.21 | ((identity) != (identity)))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl5891, zip_derived_cl2274])).
% 4.30/1.21 thf(zip_derived_cl5893, plain,
% 4.30/1.21 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl5892])).
% 4.30/1.21 thf(zip_derived_cl5894, plain, (((inverse @ identity) != (identity))),
% 4.30/1.21 inference('eq_res', [status(thm)], [zip_derived_cl5893])).
% 4.30/1.21 thf(zip_derived_cl2274, plain, (((inverse @ identity) = (identity))),
% 4.30/1.21 inference('s_sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl1])).
% 4.30/1.21 thf(zip_derived_cl5895, plain, (((identity) != (identity))),
% 4.30/1.21 inference('demod', [status(thm)],
% 4.30/1.21 [zip_derived_cl5894, zip_derived_cl2274])).
% 4.30/1.21 thf(zip_derived_cl5896, plain, ($false),
% 4.30/1.21 inference('simplify', [status(thm)], [zip_derived_cl5895])).
% 4.30/1.21
% 4.30/1.21 % SZS output end Refutation
% 4.30/1.21
% 4.30/1.21
% 4.30/1.21 % Terminating...
% 4.30/1.26 % Runner terminated.
% 4.30/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------