TSTP Solution File: GRP297-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP297-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gW7RInKRC7 true
% Computer : n022.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 01:51:05 EDT 2023
% Result : Unsatisfiable 0.59s 0.84s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP297-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gW7RInKRC7 true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 22:51:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.84 % Solved by fo/fo7.sh.
% 0.59/0.84 % done 194 iterations in 0.065s
% 0.59/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.84 % SZS output start Refutation
% 0.59/0.84 thf(sk_c1_type, type, sk_c1: $i).
% 0.59/0.84 thf(sk_c5_type, type, sk_c5: $i).
% 0.59/0.84 thf(sk_c4_type, type, sk_c4: $i).
% 0.59/0.84 thf(sk_c3_type, type, sk_c3: $i).
% 0.59/0.84 thf(identity_type, type, identity: $i).
% 0.59/0.84 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.84 thf(sk_c6_type, type, sk_c6: $i).
% 0.59/0.84 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.84 thf(sk_c2_type, type, sk_c2: $i).
% 0.59/0.84 thf(sk_c7_type, type, sk_c7: $i).
% 0.59/0.84 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(prove_this_21, conjecture,
% 0.59/0.84 (~( ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.59/0.84 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.84 (( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.59/0.84 thf(zip_derived_cl23, plain,
% 0.59/0.84 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.84 thf(prove_this_17, conjecture,
% 0.59/0.84 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 0.59/0.84 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.59/0.84 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.84 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.59/0.84 thf(zip_derived_cl19, plain,
% 0.59/0.84 ((((inverse @ sk_c3) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(zip_derived_cl33, plain,
% 0.59/0.84 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.59/0.84 | ((inverse @ sk_c3) = (sk_c4)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(associativity, axiom,
% 0.59/0.84 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.59/0.84 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.59/0.84 thf(zip_derived_cl2, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.84 thf(zip_derived_cl51, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ((multiply @ identity @ X0)
% 0.59/0.84 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.84 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.84 thf(zip_derived_cl67, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl82, plain,
% 0.59/0.84 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/0.84 | ((inverse @ sk_c3) = (sk_c4)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl67])).
% 0.59/0.84 thf(prove_this_11, conjecture,
% 0.59/0.84 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/0.84 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.84 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.59/0.84 thf(zip_derived_cl13, plain,
% 0.59/0.84 ((((inverse @ sk_c3) = (sk_c4)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.84 thf(zip_derived_cl115, plain,
% 0.59/0.84 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.59/0.84 = (sk_c6))
% 0.59/0.84 | ((inverse @ sk_c3) = (sk_c4))
% 0.59/0.84 | ((inverse @ sk_c3) = (sk_c4)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl13])).
% 0.59/0.84 thf(zip_derived_cl2, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(zip_derived_cl130, plain,
% 0.59/0.84 ((((identity) = (sk_c6))
% 0.59/0.84 | ((inverse @ sk_c3) = (sk_c4))
% 0.59/0.84 | ((inverse @ sk_c3) = (sk_c4)))),
% 0.59/0.84 inference('demod', [status(thm)],
% 0.59/0.84 [zip_derived_cl115, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.84 zip_derived_cl1])).
% 0.59/0.84 thf(zip_derived_cl131, plain,
% 0.59/0.84 ((((inverse @ sk_c3) = (sk_c4)) | ((identity) = (sk_c6)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 0.59/0.84 thf(prove_this_16, conjecture,
% 0.59/0.84 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/0.84 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.59/0.84 thf(zf_stmt_3, negated_conjecture,
% 0.59/0.84 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/0.84 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.59/0.84 thf(zip_derived_cl18, plain,
% 0.59/0.84 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(zip_derived_cl38, plain,
% 0.59/0.84 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.59/0.84 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.59/0.84 thf(zip_derived_cl67, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl85, plain,
% 0.59/0.84 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/0.84 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl67])).
% 0.59/0.84 thf(prove_this_10, conjecture,
% 0.59/0.84 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/0.84 thf(zf_stmt_4, negated_conjecture,
% 0.59/0.84 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.59/0.84 thf(zip_derived_cl12, plain,
% 0.59/0.84 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 0.59/0.84 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.84 thf(zip_derived_cl291, plain,
% 0.59/0.84 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.59/0.84 = (sk_c6))
% 0.59/0.84 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 0.59/0.84 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl12])).
% 0.59/0.84 thf(zip_derived_cl2, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.84 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.84 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(zip_derived_cl308, plain,
% 0.59/0.84 ((((identity) = (sk_c6))
% 0.59/0.84 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 0.59/0.84 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 0.59/0.84 inference('demod', [status(thm)],
% 0.59/0.84 [zip_derived_cl291, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.84 zip_derived_cl1])).
% 0.59/0.84 thf(zip_derived_cl309, plain,
% 0.59/0.84 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl308])).
% 0.59/0.84 thf(zip_derived_cl340, plain,
% 0.59/0.84 ((((multiply @ sk_c3 @ (inverse @ sk_c3)) = (sk_c6))
% 0.59/0.84 | ((identity) = (sk_c6))
% 0.59/0.84 | ((identity) = (sk_c6)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl309])).
% 0.59/0.84 thf(zip_derived_cl342, plain,
% 0.59/0.84 ((((identity) = (sk_c6))
% 0.59/0.84 | ((multiply @ sk_c3 @ (inverse @ sk_c3)) = (sk_c6)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl340])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(zip_derived_cl67, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl78, plain,
% 0.59/0.84 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.59/0.84 thf(zip_derived_cl67, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl67, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl75, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl67])).
% 0.59/0.84 thf(zip_derived_cl373, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.59/0.84 thf(zip_derived_cl78, plain,
% 0.59/0.84 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.59/0.84 thf(zip_derived_cl405, plain,
% 0.59/0.84 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl78])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(zip_derived_cl411, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl405, zip_derived_cl1])).
% 0.59/0.84 thf(zip_derived_cl619, plain,
% 0.59/0.84 ((((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl342, zip_derived_cl411])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl373, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl640, plain,
% 0.59/0.84 ((((sk_c2) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c5) = (identity)))),
% 0.59/0.84 inference('demod', [status(thm)],
% 0.59/0.84 [zip_derived_cl23, zip_derived_cl620, zip_derived_cl373,
% 0.59/0.84 zip_derived_cl620])).
% 0.59/0.84 thf(prove_this_1, conjecture,
% 0.59/0.84 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.59/0.84 thf(zf_stmt_5, negated_conjecture,
% 0.59/0.84 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.59/0.84 thf(zip_derived_cl3, plain,
% 0.59/0.84 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl373, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.59/0.84 thf(zip_derived_cl621, plain, ((((sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c5)))),
% 0.59/0.84 inference('demod', [status(thm)],
% 0.59/0.84 [zip_derived_cl3, zip_derived_cl620, zip_derived_cl0,
% 0.59/0.84 zip_derived_cl620, zip_derived_cl373])).
% 0.59/0.84 thf(zip_derived_cl622, plain, (((sk_c7) = (sk_c5))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl621])).
% 0.59/0.84 thf(zip_derived_cl705, plain,
% 0.59/0.84 ((((sk_c2) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c7) = (identity)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl640, zip_derived_cl622])).
% 0.59/0.84 thf(prove_this_20, conjecture,
% 0.59/0.84 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.59/0.84 thf(zf_stmt_6, negated_conjecture,
% 0.59/0.84 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.59/0.84 thf(zip_derived_cl22, plain,
% 0.59/0.84 ((((inverse @ sk_c2) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl639, plain,
% 0.59/0.84 ((((inverse @ sk_c2) = (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c5) = (identity)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl620])).
% 0.59/0.84 thf(zip_derived_cl622, plain, (((sk_c7) = (sk_c5))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl621])).
% 0.59/0.84 thf(zip_derived_cl806, plain,
% 0.59/0.84 ((((inverse @ sk_c2) = (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) = (identity)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl639, zip_derived_cl622])).
% 0.59/0.84 thf(zip_derived_cl811, plain,
% 0.59/0.84 ((((inverse @ sk_c7) = (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) = (identity))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) = (identity)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl705, zip_derived_cl806])).
% 0.59/0.84 thf(zip_derived_cl812, plain,
% 0.59/0.84 ((((multiply @ sk_c7 @ sk_c7) = (identity))
% 0.59/0.84 | ((inverse @ sk_c7) = (sk_c7)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl811])).
% 0.59/0.84 thf(zip_derived_cl1, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.84 thf(zip_derived_cl880, plain,
% 0.59/0.84 ((((multiply @ sk_c7 @ sk_c7) = (identity))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) = (identity)))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl812, zip_derived_cl1])).
% 0.59/0.84 thf(zip_derived_cl884, plain, (((multiply @ sk_c7 @ sk_c7) = (identity))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl880])).
% 0.59/0.84 thf(zip_derived_cl67, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/0.84 thf(zip_derived_cl889, plain,
% 0.59/0.84 (((sk_c7) = (multiply @ (inverse @ sk_c7) @ identity))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl884, zip_derived_cl67])).
% 0.59/0.84 thf(zip_derived_cl373, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.59/0.84 thf(zip_derived_cl896, plain, (((sk_c7) = (inverse @ sk_c7))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl373])).
% 0.59/0.84 thf(prove_this_25, conjecture,
% 0.59/0.84 (~( ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.59/0.84 ( ( inverse @ X3 ) != ( X4 ) ) |
% 0.59/0.84 ( ( multiply @ X3 @ X4 ) != ( sk_c6 ) ) |
% 0.59/0.84 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.59/0.84 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.59/0.84 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.59/0.84 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.59/0.84 thf(zf_stmt_7, negated_conjecture,
% 0.59/0.84 (( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.59/0.84 ( ( inverse @ X3 ) != ( X4 ) ) |
% 0.59/0.84 ( ( multiply @ X3 @ X4 ) != ( sk_c6 ) ) |
% 0.59/0.84 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.59/0.84 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.59/0.84 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.59/0.84 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.59/0.84 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.59/0.84 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.59/0.84 thf(zip_derived_cl27, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.84 (((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (sk_c6))
% 0.59/0.84 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 0.59/0.84 | ((inverse @ X3) != (sk_c7))
% 0.59/0.84 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.59/0.84 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.84 thf(zip_derived_cl28, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.84 (((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (sk_c6))
% 0.59/0.84 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.59/0.84 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.59/0.84 | ((inverse @ X3) != (sk_c7))
% 0.59/0.84 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.59/0.84 inference('local_rewriting', [status(thm)], [zip_derived_cl27])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl373, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl0, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.84 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl373, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl620, plain, (((identity) = (sk_c6))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl619])).
% 0.59/0.84 thf(zip_derived_cl373, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.59/0.84 thf(zip_derived_cl644, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.84 (((multiply @ X0 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((X2) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((sk_c7) != (sk_c5))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X3) != (sk_c7))
% 0.59/0.84 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.59/0.84 | ((sk_c7) != (sk_c5)))),
% 0.59/0.84 inference('demod', [status(thm)],
% 0.59/0.84 [zip_derived_cl28, zip_derived_cl620, zip_derived_cl620,
% 0.59/0.84 zip_derived_cl620, zip_derived_cl373, zip_derived_cl620,
% 0.59/0.84 zip_derived_cl0, zip_derived_cl620, zip_derived_cl373,
% 0.59/0.84 zip_derived_cl620, zip_derived_cl620, zip_derived_cl620,
% 0.59/0.84 zip_derived_cl373])).
% 0.59/0.84 thf(zip_derived_cl645, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.84 (((multiply @ X3 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X3) != (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.59/0.84 | ((sk_c7) != (sk_c5))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl644])).
% 0.59/0.84 thf(zip_derived_cl622, plain, (((sk_c7) = (sk_c5))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl621])).
% 0.59/0.84 thf(zip_derived_cl670, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.84 (((multiply @ X3 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X3) != (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.59/0.84 | ((sk_c7) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl645, zip_derived_cl622])).
% 0.59/0.84 thf(zip_derived_cl671, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.84 (((multiply @ X0 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((X2) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X3) != (sk_c7))
% 0.59/0.84 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl670])).
% 0.59/0.84 thf(zip_derived_cl884, plain, (((multiply @ sk_c7 @ sk_c7) = (identity))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl880])).
% 0.59/0.84 thf(zip_derived_cl886, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.84 (((multiply @ X0 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((X2) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((identity) != (identity))
% 0.59/0.84 | ((inverse @ X3) != (sk_c7))
% 0.59/0.84 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl671, zip_derived_cl884])).
% 0.59/0.84 thf(zip_derived_cl887, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.84 (((multiply @ X3 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X3) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl886])).
% 0.59/0.84 thf(zip_derived_cl891, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (((multiply @ X0 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((inverse @ sk_c7) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('eq_res', [status(thm)], [zip_derived_cl887])).
% 0.59/0.84 thf(zip_derived_cl896, plain, (((sk_c7) = (inverse @ sk_c7))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl373])).
% 0.59/0.84 thf(zip_derived_cl905, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (((multiply @ X0 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((sk_c7) != (sk_c7))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl891, zip_derived_cl896])).
% 0.59/0.84 thf(zip_derived_cl906, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.84 (((multiply @ X2 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X2) != (sk_c7))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl905])).
% 0.59/0.84 thf(zip_derived_cl1076, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 (((sk_c7) != (sk_c7))
% 0.59/0.84 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((multiply @ sk_c7 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl896, zip_derived_cl906])).
% 0.59/0.84 thf(zip_derived_cl884, plain, (((multiply @ sk_c7 @ sk_c7) = (identity))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl880])).
% 0.59/0.84 thf(zip_derived_cl1082, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 (((sk_c7) != (sk_c7))
% 0.59/0.84 | ((multiply @ X0 @ sk_c7) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((identity) != (identity)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl1076, zip_derived_cl884])).
% 0.59/0.84 thf(zip_derived_cl1083, plain,
% 0.59/0.84 (![X0 : $i, X1 : $i]:
% 0.59/0.84 (((multiply @ X1 @ X0) != (identity))
% 0.59/0.84 | ((inverse @ X1) != (X0))
% 0.59/0.84 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl1082])).
% 0.59/0.84 thf(zip_derived_cl1097, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.59/0.84 | ((multiply @ X0 @ (inverse @ X0)) != (identity)))),
% 0.59/0.84 inference('eq_res', [status(thm)], [zip_derived_cl1083])).
% 0.59/0.84 thf(zip_derived_cl411, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.59/0.84 inference('sup+', [status(thm)], [zip_derived_cl405, zip_derived_cl1])).
% 0.59/0.84 thf(zip_derived_cl1098, plain,
% 0.59/0.84 (![X0 : $i]:
% 0.59/0.84 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.59/0.84 | ((identity) != (identity)))),
% 0.59/0.84 inference('demod', [status(thm)], [zip_derived_cl1097, zip_derived_cl411])).
% 0.59/0.84 thf(zip_derived_cl1099, plain,
% 0.59/0.84 (![X0 : $i]: ((multiply @ (inverse @ X0) @ sk_c7) != (identity))),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl1098])).
% 0.59/0.84 thf(zip_derived_cl1102, plain, (((identity) != (identity))),
% 0.59/0.84 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1099])).
% 0.59/0.84 thf(zip_derived_cl1111, plain, ($false),
% 0.59/0.84 inference('simplify', [status(thm)], [zip_derived_cl1102])).
% 0.59/0.84
% 0.59/0.84 % SZS output end Refutation
% 0.59/0.84
% 0.59/0.84
% 0.59/0.84 % Terminating...
% 0.63/0.94 % Runner terminated.
% 0.63/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------