%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP309-1 : 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.7aSIj99rzp true
% Computer : n014.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 04:36:12 PM UTC 2025
% Result : Unsatisfiable 1.16s 0.87s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP309-1 : TPTP v9.2.0. Released v2.5.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7aSIj99rzp true
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:27:38 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.17/0.55 % Total configuration time : 435
% 0.17/0.55 % Estimated wc time : 1092
% 0.17/0.55 % Estimated cpu time (7 cpus) : 156.0
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.65 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.65 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.66 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.06/0.66 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.66 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.16/0.87 % Solved by fo/fo7.sh.
% 1.16/0.87 % done 364 iterations in 0.193s
% 1.16/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.16/0.87 % SZS output start Refutation
% 1.16/0.87 thf(sk_c1_type, type, sk_c1: $i).
% 1.16/0.87 thf(sk_c5_type, type, sk_c5: $i).
% 1.16/0.87 thf(sk_c2_type, type, sk_c2: $i).
% 1.16/0.87 thf(sk_c4_type, type, sk_c4: $i).
% 1.16/0.87 thf(identity_type, type, identity: $i).
% 1.16/0.87 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.16/0.87 thf(sk_c6_type, type, sk_c6: $i).
% 1.16/0.87 thf(inverse_type, type, inverse: $i > $i).
% 1.16/0.87 thf(sk_c3_type, type, sk_c3: $i).
% 1.16/0.87 thf(sk_c7_type, type, sk_c7: $i).
% 1.16/0.87 thf(prove_this_22, conjecture,
% 1.16/0.87 (~( ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.16/0.87 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.16/0.87 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.16/0.87 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.16/0.87 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 1.16/0.87 thf(zf_stmt_0, negated_conjecture,
% 1.16/0.87 (( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.16/0.87 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.16/0.87 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.16/0.87 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.16/0.87 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.16/0.87 thf(zip_derived_cl24, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.87 (((inverse @ X0) != (sk_c6))
% 1.16/0.87 | ((multiply @ X0 @ sk_c6) != (sk_c5))
% 1.16/0.87 | ((inverse @ X1) != (sk_c7))
% 1.16/0.87 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.16/0.87 | ((inverse @ X2) != (sk_c7))
% 1.16/0.87 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.16/0.87 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c5 @ sk_c6) != (sk_c7))
% 1.16/0.87 | ((inverse @ sk_c7) != (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.16/0.87 thf(zip_derived_cl25, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.87 (((inverse @ X0) != (sk_c6))
% 1.16/0.87 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c7 @ sk_c6))
% 1.16/0.87 | ((inverse @ X1) != (sk_c7))
% 1.16/0.87 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.16/0.87 | ((inverse @ X2) != (sk_c7))
% 1.16/0.87 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.16/0.87 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 1.16/0.87 | ((multiply @ (multiply @ sk_c7 @ sk_c6) @ sk_c6) != (sk_c7))
% 1.16/0.87 | ((inverse @ sk_c7) != (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 1.16/0.87 inference('local_rewriting', [status(thm)], [zip_derived_cl24])).
% 1.16/0.87 thf(associativity, axiom,
% 1.16/0.87 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.16/0.87 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.16/0.87 thf(zip_derived_cl2, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.87 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.16/0.87 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [associativity])).
% 1.16/0.87 thf(zip_derived_cl34, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.87 (((inverse @ X0) != (sk_c6))
% 1.16/0.87 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c7 @ sk_c6))
% 1.16/0.87 | ((inverse @ X1) != (sk_c7))
% 1.16/0.87 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.16/0.87 | ((inverse @ X2) != (sk_c7))
% 1.16/0.87 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.16/0.87 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c6)) != (sk_c7))
% 1.16/0.87 | ((inverse @ sk_c7) != (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl2])).
% 1.16/0.87 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl2, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.87 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.16/0.87 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [associativity])).
% 1.16/0.87 thf(zip_derived_cl38, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((multiply @ identity @ X0)
% 1.16/0.87 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.16/0.87 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.16/0.87 thf(zip_derived_cl0, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl70, plain,
% 1.16/0.87 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl67, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl70, plain,
% 1.16/0.87 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 1.16/0.87 thf(zip_derived_cl832, plain,
% 1.16/0.87 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl692, zip_derived_cl70])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl878, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl832, zip_derived_cl1])).
% 1.16/0.87 thf(prove_this_9, conjecture, (( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ))).
% 1.16/0.87 thf(zf_stmt_1, negated_conjecture,
% 1.16/0.87 (( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.16/0.87 thf(zip_derived_cl11, plain, (((multiply @ sk_c5 @ sk_c6) = (sk_c7))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.16/0.87 thf(zip_derived_cl2, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.87 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.16/0.87 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [associativity])).
% 1.16/0.87 thf(zip_derived_cl49, plain,
% 1.16/0.87 (![X0 : $i]:
% 1.16/0.87 ((multiply @ sk_c7 @ X0)
% 1.16/0.87 = (multiply @ sk_c5 @ (multiply @ sk_c6 @ X0)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 1.16/0.87 thf(zip_derived_cl1008, plain,
% 1.16/0.87 (((multiply @ sk_c7 @ (inverse @ sk_c6)) = (multiply @ sk_c5 @ identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl878, zip_derived_cl49])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1179, plain,
% 1.16/0.87 (((multiply @ sk_c7 @ (inverse @ sk_c6)) = (sk_c5))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1008, zip_derived_cl692])).
% 1.16/0.87 thf(zip_derived_cl1179, plain,
% 1.16/0.87 (((multiply @ sk_c7 @ (inverse @ sk_c6)) = (sk_c5))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1008, zip_derived_cl692])).
% 1.16/0.87 thf(zip_derived_cl1216, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.87 (((inverse @ X0) != (sk_c6))
% 1.16/0.87 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c7 @ sk_c6))
% 1.16/0.87 | ((inverse @ X1) != (sk_c7))
% 1.16/0.87 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.16/0.87 | ((inverse @ X2) != (sk_c7))
% 1.16/0.87 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.16/0.87 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c6)) != (sk_c7))
% 1.16/0.87 | ((inverse @ sk_c7) != (multiply @ sk_c7 @ (inverse @ sk_c6)))
% 1.16/0.87 | ((multiply @ sk_c7 @ sk_c6)
% 1.16/0.87 != (multiply @ sk_c7 @ (inverse @ sk_c6))))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl34, zip_derived_cl1179, zip_derived_cl1179])).
% 1.16/0.87 thf(prove_this_19, conjecture,
% 1.16/0.87 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.16/0.87 thf(zf_stmt_2, negated_conjecture,
% 1.16/0.87 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.16/0.87 thf(zip_derived_cl21, plain,
% 1.16/0.87 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl30, plain,
% 1.16/0.87 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.16/0.87 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl78, plain,
% 1.16/0.87 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.16/0.87 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl58])).
% 1.16/0.87 thf(prove_this_15, conjecture,
% 1.16/0.87 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.16/0.87 thf(zf_stmt_3, negated_conjecture,
% 1.16/0.87 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.16/0.87 thf(zip_derived_cl17, plain,
% 1.16/0.87 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.16/0.87 thf(zip_derived_cl218, plain,
% 1.16/0.87 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.16/0.87 = (sk_c2))
% 1.16/0.87 | ((inverse @ sk_c3) = (sk_c7))
% 1.16/0.87 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl17])).
% 1.16/0.87 thf(zip_derived_cl2, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.87 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.16/0.87 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [associativity])).
% 1.16/0.87 thf(zip_derived_cl0, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl227, plain,
% 1.16/0.87 ((((identity) = (sk_c2))
% 1.16/0.87 | ((inverse @ sk_c3) = (sk_c7))
% 1.16/0.87 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl218, zip_derived_cl2, zip_derived_cl0,
% 1.16/0.87 zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl228, plain,
% 1.16/0.87 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c2)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl227])).
% 1.16/0.87 thf(prove_this_11, conjecture,
% 1.16/0.87 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.16/0.87 thf(zf_stmt_4, negated_conjecture,
% 1.16/0.87 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.16/0.87 thf(zip_derived_cl13, plain,
% 1.16/0.87 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.16/0.87 thf(zip_derived_cl234, plain,
% 1.16/0.87 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.16/0.87 | ((inverse @ sk_c3) = (sk_c7))
% 1.16/0.87 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl13])).
% 1.16/0.87 thf(zip_derived_cl239, plain,
% 1.16/0.87 ((((inverse @ sk_c3) = (sk_c7))
% 1.16/0.87 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl234])).
% 1.16/0.87 thf(zip_derived_cl70, plain,
% 1.16/0.87 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 1.16/0.87 thf(zip_derived_cl493, plain,
% 1.16/0.87 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.16/0.87 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl70])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl824, plain,
% 1.16/0.87 ((((sk_c3) = (inverse @ sk_c7)) | ((sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl493, zip_derived_cl692, zip_derived_cl692])).
% 1.16/0.87 thf(prove_this_18, conjecture,
% 1.16/0.87 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.16/0.87 thf(zf_stmt_5, negated_conjecture,
% 1.16/0.87 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.16/0.87 thf(zip_derived_cl20, plain,
% 1.16/0.87 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.87 thf(zip_derived_cl832, plain,
% 1.16/0.87 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl692, zip_derived_cl70])).
% 1.16/0.87 thf(zip_derived_cl888, plain,
% 1.16/0.87 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl832])).
% 1.16/0.87 thf(prove_this_14, conjecture,
% 1.16/0.87 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.16/0.87 thf(zf_stmt_6, negated_conjecture,
% 1.16/0.87 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.16/0.87 thf(zip_derived_cl16, plain,
% 1.16/0.87 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.16/0.87 thf(zip_derived_cl1133, plain,
% 1.16/0.87 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c2))
% 1.16/0.87 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl888, zip_derived_cl16])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl1147, plain,
% 1.16/0.87 ((((identity) = (sk_c2))
% 1.16/0.87 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl1133, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl1148, plain,
% 1.16/0.87 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c2)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1147])).
% 1.16/0.87 thf(prove_this_10, conjecture,
% 1.16/0.87 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.16/0.87 thf(zf_stmt_7, negated_conjecture,
% 1.16/0.87 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.16/0.87 thf(zip_derived_cl12, plain,
% 1.16/0.87 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.16/0.87 thf(zip_derived_cl1275, plain,
% 1.16/0.87 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1148, zip_derived_cl12])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1283, plain,
% 1.16/0.87 ((((sk_c7) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl1275, zip_derived_cl692])).
% 1.16/0.87 thf(zip_derived_cl1284, plain,
% 1.16/0.87 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1283])).
% 1.16/0.87 thf(zip_derived_cl1340, plain,
% 1.16/0.87 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.16/0.87 | ((sk_c7) = (sk_c6))
% 1.16/0.87 | ((sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl824, zip_derived_cl1284])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl1341, plain,
% 1.16/0.87 ((((identity) = (sk_c6)) | ((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl1340, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl1342, plain,
% 1.16/0.87 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1341])).
% 1.16/0.87 thf(prove_this_6, conjecture,
% 1.16/0.87 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.16/0.87 thf(zf_stmt_8, negated_conjecture,
% 1.16/0.87 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.16/0.87 thf(zip_derived_cl8, plain,
% 1.16/0.87 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl26, plain,
% 1.16/0.87 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 1.16/0.87 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl72, plain,
% 1.16/0.87 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.16/0.87 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl58])).
% 1.16/0.87 thf(prove_this_5, conjecture,
% 1.16/0.87 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.16/0.87 thf(zf_stmt_9, negated_conjecture,
% 1.16/0.87 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.16/0.87 thf(zip_derived_cl7, plain,
% 1.16/0.87 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c5)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.16/0.87 thf(zip_derived_cl104, plain,
% 1.16/0.87 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.16/0.87 = (sk_c6))
% 1.16/0.87 | ((inverse @ sk_c7) = (sk_c5))
% 1.16/0.87 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl7])).
% 1.16/0.87 thf(zip_derived_cl2, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.87 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.16/0.87 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [associativity])).
% 1.16/0.87 thf(zip_derived_cl0, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl109, plain,
% 1.16/0.87 ((((identity) = (sk_c6))
% 1.16/0.87 | ((inverse @ sk_c7) = (sk_c5))
% 1.16/0.87 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl104, zip_derived_cl2, zip_derived_cl0,
% 1.16/0.87 zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl110, plain,
% 1.16/0.87 ((((inverse @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl109])).
% 1.16/0.87 thf(zip_derived_cl11, plain, (((multiply @ sk_c5 @ sk_c6) = (sk_c7))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.16/0.87 thf(zip_derived_cl113, plain,
% 1.16/0.87 ((((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7))
% 1.16/0.87 | ((identity) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl11])).
% 1.16/0.87 thf(zip_derived_cl1344, plain,
% 1.16/0.87 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 1.16/0.87 | ((identity) = (sk_c6))
% 1.16/0.87 | ((identity) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1342, zip_derived_cl113])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl1359, plain,
% 1.16/0.87 ((((identity) = (sk_c7))
% 1.16/0.87 | ((identity) = (sk_c6))
% 1.16/0.87 | ((identity) = (sk_c6)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl1344, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl1360, plain,
% 1.16/0.87 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1359])).
% 1.16/0.87 thf(zip_derived_cl1342, plain,
% 1.16/0.87 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1341])).
% 1.16/0.87 thf(zip_derived_cl1358, plain,
% 1.16/0.87 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 1.16/0.87 inference('eq_fact', [status(thm)], [zip_derived_cl1342])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl0, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl0, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl69, plain,
% 1.16/0.87 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl58])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl100, plain,
% 1.16/0.87 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl58])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1411, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.87 (((inverse @ X0) != (identity))
% 1.16/0.87 | ((X0) != (sk_c7))
% 1.16/0.87 | ((inverse @ X1) != (sk_c7))
% 1.16/0.87 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.16/0.87 | ((inverse @ X2) != (sk_c7))
% 1.16/0.87 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.16/0.87 | ((multiply @ sk_c7 @ X3) != (identity))
% 1.16/0.87 | ((sk_c7) != (sk_c7))
% 1.16/0.87 | ((inverse @ sk_c7) != (sk_c7))
% 1.16/0.87 | ((sk_c7) != (sk_c7)))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl1216, zip_derived_cl1365, zip_derived_cl1365,
% 1.16/0.87 zip_derived_cl692, zip_derived_cl1365, zip_derived_cl692,
% 1.16/0.87 zip_derived_cl1365, zip_derived_cl1365, zip_derived_cl1365,
% 1.16/0.87 zip_derived_cl1365, zip_derived_cl0, zip_derived_cl692,
% 1.16/0.87 zip_derived_cl1365, zip_derived_cl671, zip_derived_cl692,
% 1.16/0.87 zip_derived_cl1365, zip_derived_cl692, zip_derived_cl1365,
% 1.16/0.87 zip_derived_cl671, zip_derived_cl692])).
% 1.16/0.87 thf(zip_derived_cl1412, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.87 (((inverse @ sk_c7) != (sk_c7))
% 1.16/0.87 | ((multiply @ sk_c7 @ X3) != (identity))
% 1.16/0.87 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.16/0.87 | ((inverse @ X2) != (sk_c7))
% 1.16/0.87 | ((multiply @ X1 @ sk_c7) != (identity))
% 1.16/0.87 | ((inverse @ X1) != (sk_c7))
% 1.16/0.87 | ((X0) != (sk_c7))
% 1.16/0.87 | ((inverse @ X0) != (identity)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1411])).
% 1.16/0.87 thf(prove_this_20, conjecture,
% 1.16/0.87 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.16/0.87 thf(zf_stmt_10, negated_conjecture,
% 1.16/0.87 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.16/0.87 thf(zip_derived_cl22, plain,
% 1.16/0.87 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl33, plain,
% 1.16/0.87 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.16/0.87 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl306, plain,
% 1.16/0.87 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.16/0.87 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl58])).
% 1.16/0.87 thf(prove_this_16, conjecture,
% 1.16/0.87 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.16/0.87 thf(zf_stmt_11, negated_conjecture,
% 1.16/0.87 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.16/0.87 thf(zip_derived_cl18, plain,
% 1.16/0.87 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.16/0.87 thf(zip_derived_cl408, plain,
% 1.16/0.87 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.16/0.87 = (sk_c2))
% 1.16/0.87 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl306, zip_derived_cl18])).
% 1.16/0.87 thf(zip_derived_cl2, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.87 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.16/0.87 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [associativity])).
% 1.16/0.87 thf(zip_derived_cl0, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl420, plain,
% 1.16/0.87 ((((identity) = (sk_c2))
% 1.16/0.87 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl408, zip_derived_cl2, zip_derived_cl0,
% 1.16/0.87 zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl421, plain,
% 1.16/0.87 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((identity) = (sk_c2)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl420])).
% 1.16/0.87 thf(prove_this_12, conjecture,
% 1.16/0.87 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.16/0.87 thf(zf_stmt_12, negated_conjecture,
% 1.16/0.87 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.16/0.87 thf(zip_derived_cl14, plain,
% 1.16/0.87 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.16/0.87 thf(zip_derived_cl427, plain,
% 1.16/0.87 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.16/0.87 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl421, zip_derived_cl14])).
% 1.16/0.87 thf(zip_derived_cl431, plain,
% 1.16/0.87 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 1.16/0.87 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl427])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1179, plain,
% 1.16/0.87 (((multiply @ sk_c7 @ (inverse @ sk_c6)) = (sk_c5))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1008, zip_derived_cl692])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1409, plain, (((sk_c7) = (sk_c5))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl1179, zip_derived_cl1365, zip_derived_cl671,
% 1.16/0.87 zip_derived_cl692])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl1798, plain,
% 1.16/0.87 ((((sk_c4) = (sk_c7)) | ((sk_c7) = (identity)))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl431, zip_derived_cl1365, zip_derived_cl692,
% 1.16/0.87 zip_derived_cl1409, zip_derived_cl692, zip_derived_cl1365])).
% 1.16/0.87 thf(prove_this_21, conjecture,
% 1.16/0.87 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.16/0.87 thf(zf_stmt_13, negated_conjecture,
% 1.16/0.87 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.16/0.87 thf(zip_derived_cl23, plain,
% 1.16/0.87 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.16/0.87 thf(prove_this_17, conjecture,
% 1.16/0.87 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.16/0.87 thf(zf_stmt_14, negated_conjecture,
% 1.16/0.87 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.16/0.87 thf(zip_derived_cl19, plain,
% 1.16/0.87 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.16/0.87 thf(zip_derived_cl58, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 1.16/0.87 thf(zip_derived_cl89, plain,
% 1.16/0.87 ((((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c2))
% 1.16/0.87 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl58])).
% 1.16/0.87 thf(zip_derived_cl632, plain,
% 1.16/0.87 ((((sk_c7) = (multiply @ sk_c7 @ sk_c2))
% 1.16/0.87 | ((inverse @ sk_c4) = (sk_c6))
% 1.16/0.87 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl89])).
% 1.16/0.87 thf(zip_derived_cl638, plain,
% 1.16/0.87 ((((inverse @ sk_c4) = (sk_c6)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c2)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl632])).
% 1.16/0.87 thf(prove_this_13, conjecture,
% 1.16/0.87 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.16/0.87 thf(zf_stmt_15, negated_conjecture,
% 1.16/0.87 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.16/0.87 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.16/0.87 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.16/0.87 thf(zip_derived_cl15, plain,
% 1.16/0.87 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.16/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.16/0.87 thf(zip_derived_cl777, plain,
% 1.16/0.87 ((((sk_c7) = (sk_c6))
% 1.16/0.87 | ((inverse @ sk_c4) = (sk_c6))
% 1.16/0.87 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl638, zip_derived_cl15])).
% 1.16/0.87 thf(zip_derived_cl788, plain,
% 1.16/0.87 ((((inverse @ sk_c4) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl777])).
% 1.16/0.87 thf(zip_derived_cl1, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_inverse])).
% 1.16/0.87 thf(zip_derived_cl789, plain,
% 1.16/0.87 ((((multiply @ sk_c6 @ sk_c4) = (identity)) | ((sk_c7) = (sk_c6)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl0, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.16/0.87 thf(zip_derived_cl1365, plain, (((identity) = (sk_c6))),
% 1.16/0.87 inference('clc', [status(thm)], [zip_derived_cl1360, zip_derived_cl1358])).
% 1.16/0.87 thf(zip_derived_cl1398, plain,
% 1.16/0.87 ((((sk_c4) = (identity)) | ((sk_c7) = (identity)))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl789, zip_derived_cl1365, zip_derived_cl0,
% 1.16/0.87 zip_derived_cl1365])).
% 1.16/0.87 thf(zip_derived_cl1800, plain,
% 1.16/0.87 ((((sk_c7) = (identity))
% 1.16/0.87 | ((sk_c7) = (identity))
% 1.16/0.87 | ((sk_c7) = (identity)))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl1798, zip_derived_cl1398])).
% 1.16/0.87 thf(zip_derived_cl1809, plain, (((sk_c7) = (identity))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 1.16/0.87 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl1809, plain, (((sk_c7) = (identity))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 1.16/0.87 thf(zip_derived_cl1809, plain, (((sk_c7) = (identity))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 1.16/0.87 thf(zip_derived_cl0, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.16/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.16/0.87 thf(zip_derived_cl1809, plain, (((sk_c7) = (identity))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1809, plain, (((sk_c7) = (identity))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 1.16/0.87 thf(zip_derived_cl1809, plain, (((sk_c7) = (identity))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 1.16/0.87 thf(zip_derived_cl692, plain,
% 1.16/0.87 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.16/0.87 thf(zip_derived_cl1809, plain, (((sk_c7) = (identity))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 1.16/0.87 thf(zip_derived_cl1809, plain, (((sk_c7) = (identity))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 1.16/0.87 thf(zip_derived_cl1841, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.87 (((identity) != (identity))
% 1.16/0.87 | ((X3) != (identity))
% 1.16/0.87 | ((X2) != (X3))
% 1.16/0.87 | ((inverse @ X2) != (identity))
% 1.16/0.87 | ((X1) != (identity))
% 1.16/0.87 | ((inverse @ X1) != (identity))
% 1.16/0.87 | ((X0) != (identity))
% 1.16/0.87 | ((inverse @ X0) != (identity)))),
% 1.16/0.87 inference('demod', [status(thm)],
% 1.16/0.87 [zip_derived_cl1412, zip_derived_cl1809, zip_derived_cl671,
% 1.16/0.87 zip_derived_cl1809, zip_derived_cl1809, zip_derived_cl0,
% 1.16/0.87 zip_derived_cl1809, zip_derived_cl692, zip_derived_cl1809,
% 1.16/0.87 zip_derived_cl1809, zip_derived_cl692, zip_derived_cl1809,
% 1.16/0.87 zip_derived_cl1809])).
% 1.16/0.87 thf(zip_derived_cl1842, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.87 (((inverse @ X0) != (identity))
% 1.16/0.87 | ((X0) != (identity))
% 1.16/0.87 | ((inverse @ X1) != (identity))
% 1.16/0.87 | ((X1) != (identity))
% 1.16/0.87 | ((inverse @ X2) != (identity))
% 1.16/0.87 | ((X2) != (X3))
% 1.16/0.87 | ((X3) != (identity)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1841])).
% 1.16/0.87 thf(zip_derived_cl1855, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.87 (((X0) != (identity))
% 1.16/0.87 | ((inverse @ X0) != (identity))
% 1.16/0.87 | ((X1) != (identity))
% 1.16/0.87 | ((inverse @ X1) != (identity))
% 1.16/0.87 | ((X2) != (identity))
% 1.16/0.87 | ((inverse @ X2) != (identity)))),
% 1.16/0.87 inference('eq_res', [status(thm)], [zip_derived_cl1842])).
% 1.16/0.87 thf(zip_derived_cl1856, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 (((inverse @ X0) != (identity))
% 1.16/0.87 | ((X0) != (identity))
% 1.16/0.87 | ((inverse @ X1) != (identity))
% 1.16/0.87 | ((X1) != (identity))
% 1.16/0.87 | ((inverse @ identity) != (identity)))),
% 1.16/0.87 inference('eq_res', [status(thm)], [zip_derived_cl1855])).
% 1.16/0.87 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.16/0.87 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl1])).
% 1.16/0.87 thf(zip_derived_cl1857, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 (((inverse @ X0) != (identity))
% 1.16/0.87 | ((X0) != (identity))
% 1.16/0.87 | ((inverse @ X1) != (identity))
% 1.16/0.87 | ((X1) != (identity))
% 1.16/0.87 | ((identity) != (identity)))),
% 1.16/0.87 inference('demod', [status(thm)], [zip_derived_cl1856, zip_derived_cl671])).
% 1.16/0.87 thf(zip_derived_cl1858, plain,
% 1.16/0.87 (![X0 : $i, X1 : $i]:
% 1.16/0.87 (((X1) != (identity))
% 1.16/0.87 | ((inverse @ X1) != (identity))
% 1.16/0.87 | ((X0) != (identity))
% 1.16/0.87 | ((inverse @ X0) != (identity)))),
% 1.16/0.87 inference('simplify', [status(thm)], [zip_derived_cl1857])).
% 1.16/0.87 thf(zip_derived_cl1859, plain,
% 1.16/0.87 (![X0 : $i]:
% 1.16/0.87 (((inverse @ X0) != (identity))
% 1.16/0.87 | ((X0) != (identity))
% 1.16/0.87 | ((inverse @ identity) != (identity)))),
% 1.16/0.87 inference('eq_res', [status(thm)], [zip_derived_cl1858])).
% 1.16/0.88 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.16/0.88 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl1])).
% 1.16/0.88 thf(zip_derived_cl1860, plain,
% 1.16/0.88 (![X0 : $i]:
% 1.16/0.88 (((inverse @ X0) != (identity))
% 1.16/0.88 | ((X0) != (identity))
% 1.16/0.88 | ((identity) != (identity)))),
% 1.16/0.88 inference('demod', [status(thm)], [zip_derived_cl1859, zip_derived_cl671])).
% 1.16/0.88 thf(zip_derived_cl1861, plain,
% 1.16/0.88 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.16/0.88 inference('simplify', [status(thm)], [zip_derived_cl1860])).
% 1.16/0.88 thf(zip_derived_cl1862, plain, (((inverse @ identity) != (identity))),
% 1.16/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1861])).
% 1.16/0.88 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.16/0.88 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl1])).
% 1.16/0.88 thf(zip_derived_cl1863, plain, (((identity) != (identity))),
% 1.16/0.88 inference('demod', [status(thm)], [zip_derived_cl1862, zip_derived_cl671])).
% 1.16/0.88 thf(zip_derived_cl1864, plain, ($false),
% 1.16/0.88 inference('simplify', [status(thm)], [zip_derived_cl1863])).
% 1.16/0.88
% 1.16/0.88 % SZS output end Refutation
% 1.16/0.88
% 1.16/0.88
% 1.16/0.88 % Terminating...
% 1.42/0.99 % Runner terminated.
% 1.42/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------