TSTP Solution File: GRP289-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP289-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Wl4KHerL3H true
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:03 EDT 2023
% Result : Unsatisfiable 0.59s 1.01s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP289-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Wl4KHerL3H true
% 0.13/0.37 % Computer : n023.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Aug 28 22:01:10 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/1.01 % Solved by fo/fo7.sh.
% 0.59/1.01 % done 338 iterations in 0.191s
% 0.59/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/1.01 % SZS output start Refutation
% 0.59/1.01 thf(sk_c2_type, type, sk_c2: $i).
% 0.59/1.01 thf(sk_c5_type, type, sk_c5: $i).
% 0.59/1.01 thf(sk_c1_type, type, sk_c1: $i).
% 0.59/1.01 thf(sk_c4_type, type, sk_c4: $i).
% 0.59/1.01 thf(identity_type, type, identity: $i).
% 0.59/1.01 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/1.01 thf(sk_c6_type, type, sk_c6: $i).
% 0.59/1.01 thf(inverse_type, type, inverse: $i > $i).
% 0.59/1.01 thf(sk_c3_type, type, sk_c3: $i).
% 0.59/1.01 thf(sk_c7_type, type, sk_c7: $i).
% 0.59/1.01 thf(prove_this_26, conjecture,
% 0.59/1.01 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.59/1.01 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.59/1.01 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.59/1.01 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.59/1.01 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.59/1.01 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.59/1.01 thf(zf_stmt_0, negated_conjecture,
% 0.59/1.01 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.59/1.01 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.59/1.01 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.59/1.01 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.59/1.01 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.59/1.01 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.59/1.01 thf(zip_derived_cl28, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.59/1.01 | ((inverse @ X0) != (sk_c6))
% 0.59/1.01 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.59/1.01 | ((inverse @ X1) != (sk_c7))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.59/1.01 | ((inverse @ X2) != (sk_c6))
% 0.59/1.01 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 0.59/1.01 | ((inverse @ X3) != (sk_c7))
% 0.59/1.01 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/1.01 thf(zip_derived_cl29, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.59/1.01 | ((inverse @ X0) != (sk_c6))
% 0.59/1.01 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.59/1.01 | ((inverse @ X1) != (sk_c7))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.59/1.01 | ((inverse @ X2) != (sk_c6))
% 0.59/1.01 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c7 @ sk_c6))
% 0.59/1.01 | ((inverse @ X3) != (sk_c7))
% 0.59/1.01 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.59/1.01 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 0.59/1.01 thf(prove_this_12, conjecture,
% 0.59/1.01 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.59/1.01 thf(zf_stmt_1, negated_conjecture,
% 0.59/1.01 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.59/1.01 thf(zip_derived_cl14, plain,
% 0.59/1.01 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/1.01 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl37, plain,
% 0.59/1.01 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.59/1.01 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(associativity, axiom,
% 0.59/1.01 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.59/1.01 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.59/1.01 thf(zip_derived_cl2, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.01 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.01 thf(zip_derived_cl51, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((multiply @ identity @ X0)
% 0.59/1.01 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/1.01 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl87, plain,
% 0.59/1.01 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/1.01 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl69])).
% 0.59/1.01 thf(prove_this_7, conjecture,
% 0.59/1.01 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.01 thf(zf_stmt_2, negated_conjecture,
% 0.59/1.01 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.59/1.01 thf(zip_derived_cl9, plain,
% 0.59/1.01 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/1.01 thf(zip_derived_cl204, plain,
% 0.59/1.01 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.59/1.01 = (sk_c6))
% 0.59/1.01 | ((inverse @ sk_c3) = (sk_c7))
% 0.59/1.01 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl9])).
% 0.59/1.01 thf(zip_derived_cl2, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.01 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl217, plain,
% 0.59/1.01 ((((identity) = (sk_c6))
% 0.59/1.01 | ((inverse @ sk_c3) = (sk_c7))
% 0.59/1.01 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl204, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.01 zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl218, plain,
% 0.59/1.01 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl217])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl224, plain,
% 0.59/1.01 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl310, plain,
% 0.59/1.01 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/1.01 | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl83, plain,
% 0.59/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl80, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl667, plain,
% 0.59/1.01 ((((sk_c3) = (inverse @ sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl310, zip_derived_cl635])).
% 0.59/1.01 thf(prove_this_14, conjecture,
% 0.59/1.01 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.59/1.01 thf(zf_stmt_3, negated_conjecture,
% 0.59/1.01 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.59/1.01 thf(zip_derived_cl16, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl38, plain,
% 0.59/1.01 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.59/1.01 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl88, plain,
% 0.59/1.01 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/1.01 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl69])).
% 0.59/1.01 thf(prove_this_9, conjecture,
% 0.59/1.01 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.01 thf(zf_stmt_4, negated_conjecture,
% 0.59/1.01 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.59/1.01 thf(zip_derived_cl11, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/1.01 thf(zip_derived_cl159, plain,
% 0.59/1.01 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.59/1.01 = (sk_c6))
% 0.59/1.01 | ((inverse @ sk_c4) = (sk_c6))
% 0.59/1.01 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl11])).
% 0.59/1.01 thf(zip_derived_cl2, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.01 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl172, plain,
% 0.59/1.01 ((((identity) = (sk_c6))
% 0.59/1.01 | ((inverse @ sk_c4) = (sk_c6))
% 0.59/1.01 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl159, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.01 zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl173, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.59/1.01 thf(prove_this_15, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.59/1.01 thf(zf_stmt_5, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.59/1.01 thf(zip_derived_cl17, plain,
% 0.59/1.01 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl43, plain,
% 0.59/1.01 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl343, plain,
% 0.59/1.01 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl69])).
% 0.59/1.01 thf(prove_this_10, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.01 thf(zf_stmt_6, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.59/1.01 thf(zip_derived_cl12, plain,
% 0.59/1.01 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/1.01 thf(zip_derived_cl352, plain,
% 0.59/1.01 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.59/1.01 = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl343, zip_derived_cl12])).
% 0.59/1.01 thf(zip_derived_cl2, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.01 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl366, plain,
% 0.59/1.01 ((((identity) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl352, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.01 zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl367, plain,
% 0.59/1.01 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl366])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl371, plain,
% 0.59/1.01 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 0.59/1.01 | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl383, plain,
% 0.59/1.01 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.59/1.01 | ((identity) = (sk_c6))
% 0.59/1.01 | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl371])).
% 0.59/1.01 thf(zip_derived_cl388, plain,
% 0.59/1.01 ((((identity) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl383])).
% 0.59/1.01 thf(prove_this_11, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.59/1.01 thf(zf_stmt_7, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.59/1.01 thf(zip_derived_cl13, plain,
% 0.59/1.01 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl36, plain,
% 0.59/1.01 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl86, plain,
% 0.59/1.01 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl69])).
% 0.59/1.01 thf(prove_this_6, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.01 thf(zf_stmt_8, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.59/1.01 thf(zip_derived_cl8, plain,
% 0.59/1.01 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.59/1.01 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.59/1.01 thf(zip_derived_cl124, plain,
% 0.59/1.01 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.59/1.01 = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl8])).
% 0.59/1.01 thf(zip_derived_cl2, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.01 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.01 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl135, plain,
% 0.59/1.01 ((((identity) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl124, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.01 zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl136, plain,
% 0.59/1.01 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 0.59/1.01 thf(zip_derived_cl393, plain,
% 0.59/1.01 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.59/1.01 | ((identity) = (sk_c6))
% 0.59/1.01 | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl388, zip_derived_cl136])).
% 0.59/1.01 thf(zip_derived_cl396, plain,
% 0.59/1.01 ((((identity) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl393])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl455, plain,
% 0.59/1.01 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 0.59/1.01 | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl396, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl460, plain,
% 0.59/1.01 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl455, zip_derived_cl69])).
% 0.59/1.01 thf(prove_this_13, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.59/1.01 thf(zf_stmt_9, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.59/1.01 thf(zip_derived_cl15, plain,
% 0.59/1.01 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl83, plain,
% 0.59/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl685, plain,
% 0.59/1.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl635, zip_derived_cl83])).
% 0.59/1.01 thf(zip_derived_cl705, plain,
% 0.59/1.01 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl685])).
% 0.59/1.01 thf(prove_this_8, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.01 thf(zf_stmt_10, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.59/1.01 thf(zip_derived_cl10, plain,
% 0.59/1.01 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.59/1.01 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.59/1.01 thf(zip_derived_cl1121, plain,
% 0.59/1.01 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.59/1.01 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl705, zip_derived_cl10])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl1136, plain,
% 0.59/1.01 ((((identity) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.59/1.01 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1121, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1137, plain,
% 0.59/1.01 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1136])).
% 0.59/1.01 thf(zip_derived_cl1344, plain,
% 0.59/1.01 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 0.59/1.01 | ((identity) = (sk_c6))
% 0.59/1.01 | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl460, zip_derived_cl1137])).
% 0.59/1.01 thf(zip_derived_cl1349, plain,
% 0.59/1.01 ((((identity) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c7)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1344])).
% 0.59/1.01 thf(zip_derived_cl1384, plain,
% 0.59/1.01 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 0.59/1.01 | ((identity) = (sk_c6))
% 0.59/1.01 | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl667, zip_derived_cl1349])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl1388, plain,
% 0.59/1.01 ((((identity) = (sk_c7))
% 0.59/1.01 | ((identity) = (sk_c6))
% 0.59/1.01 | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1384, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1389, plain,
% 0.59/1.01 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1388])).
% 0.59/1.01 thf(zip_derived_cl460, plain,
% 0.59/1.01 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl455, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl478, plain,
% 0.59/1.01 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 0.59/1.01 inference('eq_fact', [status(thm)], [zip_derived_cl460])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1418, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 (((multiply @ X0 @ sk_c7) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((X1) != (sk_c7))
% 0.59/1.01 | ((inverse @ X1) != (sk_c7))
% 0.59/1.01 | ((sk_c7) != (sk_c5))
% 0.59/1.01 | ((inverse @ X2) != (identity))
% 0.59/1.01 | ((X2) != (sk_c7))
% 0.59/1.01 | ((inverse @ X3) != (sk_c7))
% 0.59/1.01 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.59/1.01 | ((sk_c7) != (sk_c5)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl29, zip_derived_cl1392, zip_derived_cl635,
% 0.59/1.01 zip_derived_cl1392, zip_derived_cl1392, zip_derived_cl1392,
% 0.59/1.01 zip_derived_cl635, zip_derived_cl1392, zip_derived_cl0,
% 0.59/1.01 zip_derived_cl1392, zip_derived_cl1392, zip_derived_cl635,
% 0.59/1.01 zip_derived_cl1392, zip_derived_cl635, zip_derived_cl1392,
% 0.59/1.01 zip_derived_cl1392, zip_derived_cl635])).
% 0.59/1.01 thf(zip_derived_cl1419, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 (((multiply @ X3 @ sk_c7) != (identity))
% 0.59/1.01 | ((inverse @ X3) != (sk_c7))
% 0.59/1.01 | ((X2) != (sk_c7))
% 0.59/1.01 | ((inverse @ X2) != (identity))
% 0.59/1.01 | ((sk_c7) != (sk_c5))
% 0.59/1.01 | ((inverse @ X1) != (sk_c7))
% 0.59/1.01 | ((X1) != (sk_c7))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1418])).
% 0.59/1.01 thf(prove_this_1, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.59/1.01 thf(zf_stmt_11, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.59/1.01 thf(zip_derived_cl3, plain,
% 0.59/1.01 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.59/1.01 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1393, plain, ((((sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c5)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl3, zip_derived_cl1392, zip_derived_cl0,
% 0.59/1.01 zip_derived_cl1392, zip_derived_cl635])).
% 0.59/1.01 thf(zip_derived_cl1394, plain, (((sk_c7) = (sk_c5))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1393])).
% 0.59/1.01 thf(zip_derived_cl1478, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 (((multiply @ X3 @ sk_c7) != (identity))
% 0.59/1.01 | ((inverse @ X3) != (sk_c7))
% 0.59/1.01 | ((X2) != (sk_c7))
% 0.59/1.01 | ((inverse @ X2) != (identity))
% 0.59/1.01 | ((sk_c7) != (sk_c7))
% 0.59/1.01 | ((inverse @ X1) != (sk_c7))
% 0.59/1.01 | ((X1) != (sk_c7))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl1419, zip_derived_cl1394])).
% 0.59/1.01 thf(zip_derived_cl1479, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 (((multiply @ X0 @ sk_c7) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((X1) != (sk_c7))
% 0.59/1.01 | ((inverse @ X1) != (sk_c7))
% 0.59/1.01 | ((inverse @ X2) != (identity))
% 0.59/1.01 | ((X2) != (sk_c7))
% 0.59/1.01 | ((inverse @ X3) != (sk_c7))
% 0.59/1.01 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1478])).
% 0.59/1.01 thf(zip_derived_cl1480, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 (((multiply @ X0 @ sk_c7) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (sk_c7))
% 0.59/1.01 | ((X1) != (sk_c7))
% 0.59/1.01 | ((inverse @ X1) != (identity))
% 0.59/1.01 | ((inverse @ sk_c7) != (sk_c7))
% 0.59/1.01 | ((inverse @ X2) != (identity))
% 0.59/1.01 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.59/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1479])).
% 0.59/1.01 thf(prove_this_19, conjecture,
% 0.59/1.01 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.59/1.01 thf(zf_stmt_12, negated_conjecture,
% 0.59/1.01 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.59/1.01 thf(zip_derived_cl21, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1411, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (identity)) | ((sk_c2) = (sk_c5)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl21, zip_derived_cl1392, zip_derived_cl1392,
% 0.59/1.01 zip_derived_cl635])).
% 0.59/1.01 thf(zip_derived_cl1394, plain, (((sk_c7) = (sk_c5))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1393])).
% 0.59/1.01 thf(zip_derived_cl1475, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (identity)) | ((sk_c2) = (sk_c7)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl1411, zip_derived_cl1394])).
% 0.59/1.01 thf(prove_this_24, conjecture,
% 0.59/1.01 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.59/1.01 thf(zf_stmt_13, negated_conjecture,
% 0.59/1.01 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.59/1.01 thf(zip_derived_cl26, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl1416, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c2) = (identity)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl26, zip_derived_cl1392, zip_derived_cl1392])).
% 0.59/1.01 thf(zip_derived_cl1663, plain,
% 0.59/1.01 ((((inverse @ sk_c7) = (identity))
% 0.59/1.01 | ((inverse @ sk_c4) = (identity))
% 0.59/1.01 | ((inverse @ sk_c4) = (identity)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl1475, zip_derived_cl1416])).
% 0.59/1.01 thf(zip_derived_cl1670, plain,
% 0.59/1.01 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c7) = (identity)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1663])).
% 0.59/1.01 thf(zip_derived_cl685, plain,
% 0.59/1.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl635, zip_derived_cl83])).
% 0.59/1.01 thf(zip_derived_cl1688, plain,
% 0.59/1.01 ((((sk_c4) = (inverse @ identity)) | ((inverse @ sk_c7) = (identity)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl1670, zip_derived_cl685])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl82, plain,
% 0.59/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl69, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl115, plain,
% 0.59/1.01 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl571, plain, (((inverse @ identity) = (identity))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1693, plain,
% 0.59/1.01 ((((sk_c4) = (identity)) | ((inverse @ sk_c7) = (identity)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1688, zip_derived_cl571])).
% 0.59/1.01 thf(prove_this_25, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.59/1.01 thf(zf_stmt_14, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.59/1.01 thf(zip_derived_cl27, plain,
% 0.59/1.01 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.59/1.01 thf(zip_derived_cl685, plain,
% 0.59/1.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl635, zip_derived_cl83])).
% 0.59/1.01 thf(zip_derived_cl712, plain,
% 0.59/1.01 ((((sk_c2) = (inverse @ sk_c6)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl685])).
% 0.59/1.01 thf(prove_this_20, conjecture,
% 0.59/1.01 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.59/1.01 thf(zf_stmt_15, negated_conjecture,
% 0.59/1.01 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.01 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.59/1.01 thf(zip_derived_cl22, plain,
% 0.59/1.01 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.59/1.01 thf(zip_derived_cl1185, plain,
% 0.59/1.01 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c5))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl712, zip_derived_cl22])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.01 thf(zip_derived_cl1199, plain,
% 0.59/1.01 ((((identity) = (sk_c5))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.59/1.01 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1185, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1200, plain,
% 0.59/1.01 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1199])).
% 0.59/1.01 thf(zip_derived_cl1392, plain, (((identity) = (sk_c6))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl1389, zip_derived_cl478])).
% 0.59/1.01 thf(zip_derived_cl1454, plain,
% 0.59/1.01 ((((multiply @ sk_c4 @ sk_c5) = (identity)) | ((identity) = (sk_c5)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl1200, zip_derived_cl1392])).
% 0.59/1.01 thf(zip_derived_cl1394, plain, (((sk_c7) = (sk_c5))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1393])).
% 0.59/1.01 thf(zip_derived_cl1394, plain, (((sk_c7) = (sk_c5))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1393])).
% 0.59/1.01 thf(zip_derived_cl1773, plain,
% 0.59/1.01 ((((multiply @ sk_c4 @ sk_c7) = (identity)) | ((identity) = (sk_c7)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl1454, zip_derived_cl1394, zip_derived_cl1394])).
% 0.59/1.01 thf(zip_derived_cl1777, plain,
% 0.59/1.01 ((((multiply @ identity @ sk_c7) = (identity))
% 0.59/1.01 | ((inverse @ sk_c7) = (identity))
% 0.59/1.01 | ((identity) = (sk_c7)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl1693, zip_derived_cl1773])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.01 thf(zip_derived_cl1779, plain,
% 0.59/1.01 ((((sk_c7) = (identity))
% 0.59/1.01 | ((inverse @ sk_c7) = (identity))
% 0.59/1.01 | ((identity) = (sk_c7)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1777, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl1780, plain,
% 0.59/1.01 ((((inverse @ sk_c7) = (identity)) | ((sk_c7) = (identity)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 0.59/1.01 thf(zip_derived_cl685, plain,
% 0.59/1.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl635, zip_derived_cl83])).
% 0.59/1.01 thf(zip_derived_cl1783, plain,
% 0.59/1.01 ((((sk_c7) = (inverse @ identity)) | ((sk_c7) = (identity)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl1780, zip_derived_cl685])).
% 0.59/1.01 thf(zip_derived_cl571, plain, (((inverse @ identity) = (identity))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1790, plain,
% 0.59/1.01 ((((sk_c7) = (identity)) | ((sk_c7) = (identity)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1783, zip_derived_cl571])).
% 0.59/1.01 thf(zip_derived_cl1791, plain, (((sk_c7) = (identity))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1790])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1791, plain, (((sk_c7) = (identity))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1790])).
% 0.59/1.01 thf(zip_derived_cl1791, plain, (((sk_c7) = (identity))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1790])).
% 0.59/1.01 thf(zip_derived_cl1791, plain, (((sk_c7) = (identity))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1790])).
% 0.59/1.01 thf(zip_derived_cl571, plain, (((inverse @ identity) = (identity))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1791, plain, (((sk_c7) = (identity))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1790])).
% 0.59/1.01 thf(zip_derived_cl1791, plain, (((sk_c7) = (identity))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1790])).
% 0.59/1.01 thf(zip_derived_cl635, plain,
% 0.59/1.01 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl80])).
% 0.59/1.01 thf(zip_derived_cl1818, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 (((X0) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((X1) != (identity))
% 0.59/1.01 | ((inverse @ X1) != (identity))
% 0.59/1.01 | ((identity) != (identity))
% 0.59/1.01 | ((inverse @ X2) != (identity))
% 0.59/1.01 | ((X2) != (identity)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl1480, zip_derived_cl1791, zip_derived_cl635,
% 0.59/1.01 zip_derived_cl1791, zip_derived_cl1791, zip_derived_cl1791,
% 0.59/1.01 zip_derived_cl571, zip_derived_cl1791, zip_derived_cl1791,
% 0.59/1.01 zip_derived_cl635])).
% 0.59/1.01 thf(zip_derived_cl1819, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 (((X2) != (identity))
% 0.59/1.01 | ((inverse @ X2) != (identity))
% 0.59/1.01 | ((inverse @ X1) != (identity))
% 0.59/1.01 | ((X1) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((X0) != (identity)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1818])).
% 0.59/1.01 thf(zip_derived_cl1846, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (((X0) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((X1) != (identity))
% 0.59/1.01 | ((inverse @ X1) != (identity))
% 0.59/1.01 | ((inverse @ identity) != (identity)))),
% 0.59/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1819])).
% 0.59/1.01 thf(zip_derived_cl571, plain, (((inverse @ identity) = (identity))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1847, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (((X0) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((X1) != (identity))
% 0.59/1.01 | ((inverse @ X1) != (identity))
% 0.59/1.01 | ((identity) != (identity)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1846, zip_derived_cl571])).
% 0.59/1.01 thf(zip_derived_cl1848, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (((inverse @ X1) != (identity))
% 0.59/1.01 | ((X1) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((X0) != (identity)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 0.59/1.01 thf(zip_derived_cl1849, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((X0) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((inverse @ identity) != (identity)))),
% 0.59/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1848])).
% 0.59/1.01 thf(zip_derived_cl571, plain, (((inverse @ identity) = (identity))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1850, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((X0) != (identity))
% 0.59/1.01 | ((inverse @ X0) != (identity))
% 0.59/1.01 | ((identity) != (identity)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1849, zip_derived_cl571])).
% 0.59/1.01 thf(zip_derived_cl1851, plain,
% 0.59/1.01 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 0.59/1.01 thf(zip_derived_cl1852, plain, (((inverse @ identity) != (identity))),
% 0.59/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1851])).
% 0.59/1.01 thf(zip_derived_cl571, plain, (((inverse @ identity) = (identity))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 0.59/1.01 thf(zip_derived_cl1853, plain, (((identity) != (identity))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1852, zip_derived_cl571])).
% 0.59/1.01 thf(zip_derived_cl1854, plain, ($false),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1853])).
% 0.59/1.01
% 0.59/1.01 % SZS output end Refutation
% 0.59/1.01
% 0.59/1.01
% 0.59/1.01 % Terminating...
% 1.65/1.13 % Runner terminated.
% 1.65/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------