TSTP Solution File: GRP300-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP300-1 : 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.pKcE6m09Ew true
% Computer : n010.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 01:51:06 EDT 2023
% Result : Unsatisfiable 2.17s 0.90s
% Output : Refutation 2.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP300-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pKcE6m09Ew true
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 22:12:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.17/0.90 % Solved by fo/fo7.sh.
% 2.17/0.90 % done 194 iterations in 0.124s
% 2.17/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.17/0.90 % SZS output start Refutation
% 2.17/0.90 thf(sk_c4_type, type, sk_c4: $i).
% 2.17/0.90 thf(sk_c1_type, type, sk_c1: $i).
% 2.17/0.90 thf(sk_c3_type, type, sk_c3: $i).
% 2.17/0.90 thf(identity_type, type, identity: $i).
% 2.17/0.90 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.17/0.90 thf(sk_c5_type, type, sk_c5: $i).
% 2.17/0.90 thf(inverse_type, type, inverse: $i > $i).
% 2.17/0.90 thf(sk_c6_type, type, sk_c6: $i).
% 2.17/0.90 thf(prove_this_4, conjecture,
% 2.17/0.90 (~( ( ( inverse @ sk_c6 ) = ( sk_c4 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c4 ) ) ))).
% 2.17/0.90 thf(zf_stmt_0, negated_conjecture,
% 2.17/0.90 (( ( inverse @ sk_c6 ) = ( sk_c4 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c4 ) )),
% 2.17/0.90 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 2.17/0.90 thf(zip_derived_cl6, plain,
% 2.17/0.90 ((((inverse @ sk_c6) = (sk_c4)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c4)))),
% 2.17/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.17/0.90 thf(prove_this_22, conjecture,
% 2.17/0.90 (~( ( ( inverse @ sk_c6 ) = ( sk_c4 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 2.17/0.90 thf(zf_stmt_1, negated_conjecture,
% 2.17/0.90 (( ( inverse @ sk_c6 ) = ( sk_c4 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) )),
% 2.17/0.90 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 2.17/0.90 thf(zip_derived_cl24, plain,
% 2.17/0.90 ((((inverse @ sk_c6) = (sk_c4)) | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 2.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.17/0.90 thf(zip_derived_cl43, plain,
% 2.17/0.90 ((((multiply @ (multiply @ sk_c6 @ sk_c5) @ sk_c6) = (sk_c5))
% 2.17/0.90 | ((inverse @ sk_c6) = (sk_c4))
% 2.17/0.90 | ((inverse @ sk_c6) = (sk_c4)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl24])).
% 2.17/0.90 thf(zip_derived_cl44, plain,
% 2.17/0.90 ((((inverse @ sk_c6) = (sk_c4))
% 2.17/0.90 | ((multiply @ (multiply @ sk_c6 @ sk_c5) @ sk_c6) = (sk_c5)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl43])).
% 2.17/0.90 thf(associativity, axiom,
% 2.17/0.90 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 2.17/0.90 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 2.17/0.90 thf(zip_derived_cl2, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.17/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.17/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.17/0.90 thf(zip_derived_cl58, plain,
% 2.17/0.90 ((((inverse @ sk_c6) = (sk_c4))
% 2.17/0.90 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ sk_c6)) = (sk_c5)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl2])).
% 2.17/0.90 thf(prove_this_18, conjecture,
% 2.17/0.90 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 2.17/0.90 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 2.17/0.90 thf(zf_stmt_2, negated_conjecture,
% 2.17/0.90 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 2.17/0.90 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 2.17/0.90 thf(zip_derived_cl20, plain,
% 2.17/0.90 ((((inverse @ sk_c3) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c6)))),
% 2.17/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.17/0.90 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 2.17/0.90 thf(zip_derived_cl1, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.17/0.90 thf(zip_derived_cl37, plain,
% 2.17/0.90 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 2.17/0.90 | ((inverse @ sk_c3) = (sk_c4)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 2.17/0.90 thf(zip_derived_cl1, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.17/0.90 thf(zip_derived_cl2, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.17/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.17/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.17/0.90 thf(zip_derived_cl62, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 ((multiply @ identity @ X0)
% 2.17/0.90 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 2.17/0.90 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 2.17/0.90 thf(zip_derived_cl0, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.17/0.90 thf(zip_derived_cl77, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 2.17/0.90 thf(zip_derived_cl93, plain,
% 2.17/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 2.17/0.90 | ((inverse @ sk_c3) = (sk_c4)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl77])).
% 2.17/0.90 thf(prove_this_12, conjecture,
% 2.17/0.90 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 2.17/0.90 thf(zf_stmt_3, negated_conjecture,
% 2.17/0.90 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 2.17/0.90 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 2.17/0.90 thf(zip_derived_cl14, plain,
% 2.17/0.90 ((((inverse @ sk_c3) = (sk_c4)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 2.17/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.17/0.90 thf(zip_derived_cl194, plain,
% 2.17/0.90 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 2.17/0.90 = (sk_c5))
% 2.17/0.90 | ((inverse @ sk_c3) = (sk_c4))
% 2.17/0.90 | ((inverse @ sk_c3) = (sk_c4)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl14])).
% 2.17/0.90 thf(zip_derived_cl2, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.17/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.17/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.17/0.90 thf(zip_derived_cl0, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.17/0.90 thf(zip_derived_cl1, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.17/0.90 thf(zip_derived_cl207, plain,
% 2.17/0.90 ((((identity) = (sk_c5))
% 2.17/0.90 | ((inverse @ sk_c3) = (sk_c4))
% 2.17/0.90 | ((inverse @ sk_c3) = (sk_c4)))),
% 2.17/0.90 inference('demod', [status(thm)],
% 2.17/0.90 [zip_derived_cl194, zip_derived_cl2, zip_derived_cl0,
% 2.17/0.90 zip_derived_cl1])).
% 2.17/0.90 thf(zip_derived_cl208, plain,
% 2.17/0.90 ((((inverse @ sk_c3) = (sk_c4)) | ((identity) = (sk_c5)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl207])).
% 2.17/0.90 thf(zip_derived_cl1, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.17/0.90 thf(zip_derived_cl211, plain,
% 2.17/0.90 ((((multiply @ sk_c4 @ sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl1])).
% 2.17/0.90 thf(zip_derived_cl77, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 2.17/0.90 thf(zip_derived_cl262, plain,
% 2.17/0.90 ((((sk_c3) = (multiply @ (inverse @ sk_c4) @ identity))
% 2.17/0.90 | ((identity) = (sk_c5)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl77])).
% 2.17/0.90 thf(zip_derived_cl1, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.17/0.90 thf(zip_derived_cl77, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 2.17/0.90 thf(zip_derived_cl88, plain,
% 2.17/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 2.17/0.90 thf(zip_derived_cl77, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 2.17/0.90 thf(zip_derived_cl77, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 2.17/0.90 thf(zip_derived_cl85, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl77])).
% 2.17/0.90 thf(zip_derived_cl579, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 2.17/0.90 thf(zip_derived_cl603, plain,
% 2.17/0.90 ((((sk_c3) = (inverse @ sk_c4)) | ((identity) = (sk_c5)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl579])).
% 2.17/0.90 thf(prove_this_17, conjecture,
% 2.17/0.90 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 2.17/0.90 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 2.17/0.90 thf(zf_stmt_4, negated_conjecture,
% 2.17/0.90 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 2.17/0.90 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 2.17/0.90 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 2.17/0.90 thf(zip_derived_cl19, plain,
% 2.17/0.90 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c6)))),
% 2.17/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.17/0.90 thf(zip_derived_cl88, plain,
% 2.17/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 2.17/0.90 thf(zip_derived_cl304, plain,
% 2.17/0.90 ((((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity))
% 2.17/0.90 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl88])).
% 2.17/0.90 thf(prove_this_11, conjecture,
% 2.17/0.90 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 2.17/0.90 thf(zf_stmt_5, negated_conjecture,
% 2.17/0.90 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 2.17/0.90 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 2.17/0.90 thf(zip_derived_cl13, plain,
% 2.17/0.90 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 2.17/0.90 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.17/0.90 thf(zip_derived_cl418, plain,
% 2.17/0.90 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 2.17/0.90 = (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl304, zip_derived_cl13])).
% 2.17/0.90 thf(zip_derived_cl2, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.17/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.17/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.17/0.90 thf(zip_derived_cl0, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.17/0.90 thf(zip_derived_cl1, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.17/0.90 thf(zip_derived_cl433, plain,
% 2.17/0.90 ((((identity) = (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c3 @ sk_c4) = (sk_c5)))),
% 2.17/0.90 inference('demod', [status(thm)],
% 2.17/0.90 [zip_derived_cl418, zip_derived_cl2, zip_derived_cl0,
% 2.17/0.90 zip_derived_cl1])).
% 2.17/0.90 thf(zip_derived_cl434, plain,
% 2.17/0.90 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5)) | ((identity) = (sk_c5)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl433])).
% 2.17/0.90 thf(zip_derived_cl659, plain,
% 2.17/0.90 ((((multiply @ (inverse @ sk_c4) @ sk_c4) = (sk_c5))
% 2.17/0.90 | ((identity) = (sk_c5))
% 2.17/0.90 | ((identity) = (sk_c5)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl603, zip_derived_cl434])).
% 2.17/0.90 thf(zip_derived_cl1, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.17/0.90 thf(zip_derived_cl666, plain,
% 2.17/0.90 ((((identity) = (sk_c5))
% 2.17/0.90 | ((identity) = (sk_c5))
% 2.17/0.90 | ((identity) = (sk_c5)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl659, zip_derived_cl1])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl0, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl694, plain,
% 2.17/0.90 ((((inverse @ sk_c6) = (sk_c4))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) = (identity)))),
% 2.17/0.90 inference('demod', [status(thm)],
% 2.17/0.90 [zip_derived_cl58, zip_derived_cl667, zip_derived_cl0,
% 2.17/0.90 zip_derived_cl667])).
% 2.17/0.90 thf(prove_this_1, conjecture,
% 2.17/0.90 (~( ( ( multiply @ sk_c5 @ sk_c4 ) = ( sk_c6 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c4 ) ) ))).
% 2.17/0.90 thf(zf_stmt_6, negated_conjecture,
% 2.17/0.90 (( ( multiply @ sk_c5 @ sk_c4 ) = ( sk_c6 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c4 ) )),
% 2.17/0.90 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 2.17/0.90 thf(zip_derived_cl3, plain,
% 2.17/0.90 ((((multiply @ sk_c5 @ sk_c4) = (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c5) = (sk_c4)))),
% 2.17/0.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl0, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl579, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 2.17/0.90 thf(zip_derived_cl668, plain, ((((sk_c4) = (sk_c6)) | ((sk_c6) = (sk_c4)))),
% 2.17/0.90 inference('demod', [status(thm)],
% 2.17/0.90 [zip_derived_cl3, zip_derived_cl667, zip_derived_cl0,
% 2.17/0.90 zip_derived_cl667, zip_derived_cl579])).
% 2.17/0.90 thf(zip_derived_cl669, plain, (((sk_c4) = (sk_c6))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl668])).
% 2.17/0.90 thf(zip_derived_cl788, plain,
% 2.17/0.90 ((((inverse @ sk_c6) = (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) = (identity)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl694, zip_derived_cl669])).
% 2.17/0.90 thf(zip_derived_cl1, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 2.17/0.90 thf(zip_derived_cl789, plain,
% 2.17/0.90 ((((multiply @ sk_c6 @ sk_c6) = (identity))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) = (identity)))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl1])).
% 2.17/0.90 thf(zip_derived_cl794, plain, (((multiply @ sk_c6 @ sk_c6) = (identity))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl789])).
% 2.17/0.90 thf(zip_derived_cl77, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 2.17/0.90 thf(zip_derived_cl801, plain,
% 2.17/0.90 (((sk_c6) = (multiply @ (inverse @ sk_c6) @ identity))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl794, zip_derived_cl77])).
% 2.17/0.90 thf(zip_derived_cl579, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 2.17/0.90 thf(zip_derived_cl907, plain, (((sk_c6) = (inverse @ sk_c6))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl579])).
% 2.17/0.90 thf(zip_derived_cl907, plain, (((sk_c6) = (inverse @ sk_c6))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl579])).
% 2.17/0.90 thf(zip_derived_cl907, plain, (((sk_c6) = (inverse @ sk_c6))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl579])).
% 2.17/0.90 thf(prove_this_25, conjecture,
% 2.17/0.90 (~( ( ( inverse @ X3 ) != ( sk_c4 ) ) |
% 2.17/0.90 ( ( multiply @ X3 @ sk_c4 ) != ( sk_c5 ) ) |
% 2.17/0.90 ( ( inverse @ sk_c6 ) != ( sk_c4 ) ) |
% 2.17/0.90 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 2.17/0.90 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c5 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c5 @ sk_c4 ) != ( sk_c6 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c4 @ sk_c6 ) != ( sk_c5 ) ) |
% 2.17/0.90 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 2.17/0.90 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c4 ) ) ))).
% 2.17/0.90 thf(zf_stmt_7, negated_conjecture,
% 2.17/0.90 (( ( inverse @ X3 ) != ( sk_c4 ) ) |
% 2.17/0.90 ( ( multiply @ X3 @ sk_c4 ) != ( sk_c5 ) ) |
% 2.17/0.90 ( ( inverse @ sk_c6 ) != ( sk_c4 ) ) |
% 2.17/0.90 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 2.17/0.90 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c5 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c5 @ sk_c4 ) != ( sk_c6 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c4 @ sk_c6 ) != ( sk_c5 ) ) |
% 2.17/0.90 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 2.17/0.90 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 2.17/0.90 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c4 ) )),
% 2.17/0.90 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 2.17/0.90 thf(zip_derived_cl27, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((inverse @ X0) != (sk_c4))
% 2.17/0.90 | ((multiply @ X0 @ sk_c4) != (sk_c5))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c4))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c5 @ sk_c4) != (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c4 @ sk_c6) != (sk_c5))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c5) != (sk_c4)))),
% 2.17/0.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.17/0.90 thf(zip_derived_cl28, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((inverse @ X0) != (multiply @ sk_c6 @ sk_c5))
% 2.17/0.90 | ((multiply @ X0 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c4))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c5 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 2.17/0.90 | ((multiply @ (multiply @ sk_c6 @ sk_c5) @ sk_c6) != (sk_c5))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c5) != (sk_c4)))),
% 2.17/0.90 inference('local_rewriting', [status(thm)], [zip_derived_cl27])).
% 2.17/0.90 thf(zip_derived_cl2, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.17/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.17/0.90 inference('cnf', [status(esa)], [associativity])).
% 2.17/0.90 thf(zip_derived_cl57, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((inverse @ X0) != (multiply @ sk_c6 @ sk_c5))
% 2.17/0.90 | ((multiply @ X0 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c4))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c5 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ sk_c6)) != (sk_c5))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c5) != (sk_c4)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl579, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl579, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl579, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 2.17/0.90 thf(zip_derived_cl0, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl0, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.17/0.90 inference('cnf', [status(esa)], [left_identity])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl667, plain, (((identity) = (sk_c5))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 2.17/0.90 thf(zip_derived_cl579, plain,
% 2.17/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl85])).
% 2.17/0.90 thf(zip_derived_cl692, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c4))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (identity))
% 2.17/0.90 | ((sk_c6) != (sk_c4)))),
% 2.17/0.90 inference('demod', [status(thm)],
% 2.17/0.90 [zip_derived_cl57, zip_derived_cl667, zip_derived_cl579,
% 2.17/0.90 zip_derived_cl667, zip_derived_cl579, zip_derived_cl667,
% 2.17/0.90 zip_derived_cl667, zip_derived_cl667, zip_derived_cl667,
% 2.17/0.90 zip_derived_cl579, zip_derived_cl0, zip_derived_cl667,
% 2.17/0.90 zip_derived_cl0, zip_derived_cl667, zip_derived_cl667,
% 2.17/0.90 zip_derived_cl667, zip_derived_cl579])).
% 2.17/0.90 thf(zip_derived_cl693, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((sk_c6) != (sk_c4))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) != (identity))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c4))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl692])).
% 2.17/0.90 thf(zip_derived_cl669, plain, (((sk_c4) = (sk_c6))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl668])).
% 2.17/0.90 thf(zip_derived_cl669, plain, (((sk_c4) = (sk_c6))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl668])).
% 2.17/0.90 thf(zip_derived_cl711, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) != (identity))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6)))),
% 2.17/0.90 inference('demod', [status(thm)],
% 2.17/0.90 [zip_derived_cl693, zip_derived_cl669, zip_derived_cl669])).
% 2.17/0.90 thf(zip_derived_cl712, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c6))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (identity)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl711])).
% 2.17/0.90 thf(zip_derived_cl794, plain, (((multiply @ sk_c6 @ sk_c6) = (identity))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl789])).
% 2.17/0.90 thf(zip_derived_cl798, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c6))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((identity) != (identity))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (identity)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl712, zip_derived_cl794])).
% 2.17/0.90 thf(zip_derived_cl799, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((multiply @ X2 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((inverse @ sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl798])).
% 2.17/0.90 thf(zip_derived_cl907, plain, (((sk_c6) = (inverse @ sk_c6))),
% 2.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl579])).
% 2.17/0.90 thf(zip_derived_cl913, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((multiply @ X2 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl799, zip_derived_cl907])).
% 2.17/0.90 thf(zip_derived_cl914, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.17/0.90 (((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X2) != (sk_c6))
% 2.17/0.90 | ((multiply @ X2 @ sk_c6) != (identity)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl913])).
% 2.17/0.90 thf(zip_derived_cl1029, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 (((sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) != (identity)))),
% 2.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl907, zip_derived_cl914])).
% 2.17/0.90 thf(zip_derived_cl794, plain, (((multiply @ sk_c6 @ sk_c6) = (identity))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl789])).
% 2.17/0.90 thf(zip_derived_cl1034, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 (((sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((identity) != (identity)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl1029, zip_derived_cl794])).
% 2.17/0.90 thf(zip_derived_cl1035, plain,
% 2.17/0.90 (![X0 : $i, X1 : $i]:
% 2.17/0.90 (((inverse @ X1) != (sk_c6))
% 2.17/0.90 | ((multiply @ X1 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl1034])).
% 2.17/0.90 thf(zip_derived_cl1041, plain,
% 2.17/0.90 (![X0 : $i]:
% 2.17/0.90 (((sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((multiply @ sk_c6 @ sk_c6) != (identity)))),
% 2.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl907, zip_derived_cl1035])).
% 2.17/0.90 thf(zip_derived_cl794, plain, (((multiply @ sk_c6 @ sk_c6) = (identity))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl789])).
% 2.17/0.90 thf(zip_derived_cl1046, plain,
% 2.17/0.90 (![X0 : $i]:
% 2.17/0.90 (((sk_c6) != (sk_c6))
% 2.17/0.90 | ((multiply @ X0 @ sk_c6) != (identity))
% 2.17/0.90 | ((inverse @ X0) != (sk_c6))
% 2.17/0.90 | ((identity) != (identity)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl1041, zip_derived_cl794])).
% 2.17/0.90 thf(zip_derived_cl1047, plain,
% 2.17/0.90 (![X0 : $i]:
% 2.17/0.90 (((inverse @ X0) != (sk_c6)) | ((multiply @ X0 @ sk_c6) != (identity)))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl1046])).
% 2.17/0.90 thf(zip_derived_cl1053, plain,
% 2.17/0.90 ((((sk_c6) != (sk_c6)) | ((multiply @ sk_c6 @ sk_c6) != (identity)))),
% 2.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl907, zip_derived_cl1047])).
% 2.17/0.90 thf(zip_derived_cl794, plain, (((multiply @ sk_c6 @ sk_c6) = (identity))),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl789])).
% 2.17/0.90 thf(zip_derived_cl1058, plain,
% 2.17/0.90 ((((sk_c6) != (sk_c6)) | ((identity) != (identity)))),
% 2.17/0.90 inference('demod', [status(thm)], [zip_derived_cl1053, zip_derived_cl794])).
% 2.17/0.90 thf(zip_derived_cl1059, plain, ($false),
% 2.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl1058])).
% 2.17/0.90
% 2.17/0.90 % SZS output end Refutation
% 2.17/0.90
% 2.17/0.90
% 2.17/0.90 % Terminating...
% 2.59/0.99 % Runner terminated.
% 2.59/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------