TSTP Solution File: GRP066-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP066-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.F7v3onTztR true
% Computer : n011.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 01:49:47 EDT 2023
% Result : Unsatisfiable 1.75s 0.88s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP066-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.F7v3onTztR true
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 19:44:40 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
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.75/0.88 % Solved by fo/fo5.sh.
% 1.75/0.88 % done 184 iterations in 0.110s
% 1.75/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.75/0.88 % SZS output start Refutation
% 1.75/0.88 thf(a3_type, type, a3: $i).
% 1.75/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.75/0.88 thf(c3_type, type, c3: $i).
% 1.75/0.88 thf(a2_type, type, a2: $i).
% 1.75/0.88 thf(a1_type, type, a1: $i).
% 1.75/0.88 thf(identity_type, type, identity: $i).
% 1.75/0.88 thf(divide_type, type, divide: $i > $i > $i).
% 1.75/0.88 thf(inverse_type, type, inverse: $i > $i).
% 1.75/0.88 thf(b3_type, type, b3: $i).
% 1.75/0.88 thf(prove_these_axioms, conjecture,
% 1.75/0.88 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.75/0.88 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.75/0.88 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 1.75/0.88 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) ) ))).
% 1.75/0.88 thf(zf_stmt_0, negated_conjecture,
% 1.75/0.88 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.75/0.88 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.75/0.88 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 1.75/0.88 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) )),
% 1.75/0.88 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 1.75/0.88 thf(zip_derived_cl4, plain,
% 1.75/0.88 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.75/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.75/0.88 | ((multiply @ identity @ a2) != (a2))
% 1.75/0.88 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 1.75/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.75/0.88 thf(multiply, axiom,
% 1.75/0.88 (( multiply @ X @ Y ) = ( divide @ X @ ( divide @ identity @ Y ) ))).
% 1.75/0.88 thf(zip_derived_cl1, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.75/0.88 inference('cnf', [status(esa)], [multiply])).
% 1.75/0.88 thf(inverse, axiom, (( inverse @ X ) = ( divide @ identity @ X ))).
% 1.75/0.88 thf(zip_derived_cl2, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [inverse])).
% 1.75/0.88 thf(zip_derived_cl6, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.75/0.88 thf(identity, axiom, (( identity ) = ( divide @ X @ X ))).
% 1.75/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [identity])).
% 1.75/0.88 thf(zip_derived_cl7, plain,
% 1.75/0.88 (![X0 : $i]: ((identity) = (multiply @ (inverse @ X0) @ X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 1.75/0.88 thf(zip_derived_cl25, plain,
% 1.75/0.88 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.75/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.75/0.88 | ((multiply @ identity @ a2) != (a2))
% 1.75/0.88 | ((identity) != (identity)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 1.75/0.88 thf(zip_derived_cl26, plain,
% 1.75/0.88 ((((multiply @ identity @ a2) != (a2))
% 1.75/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.75/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.75/0.88 inference('simplify', [status(thm)], [zip_derived_cl25])).
% 1.75/0.88 thf(zip_derived_cl6, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl2, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [inverse])).
% 1.75/0.88 thf(zip_derived_cl8, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (multiply @ identity @ X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl108, plain,
% 1.75/0.88 ((((inverse @ (inverse @ a2)) != (a2))
% 1.75/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.75/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl8])).
% 1.75/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [identity])).
% 1.75/0.88 thf(single_axiom, axiom,
% 1.75/0.88 (( divide @
% 1.75/0.88 ( divide @
% 1.75/0.88 identity @
% 1.75/0.88 ( divide @
% 1.75/0.88 X @
% 1.75/0.88 ( divide @ Y @ ( divide @ ( divide @ ( divide @ X @ X ) @ X ) @ Z ) ) ) ) @
% 1.75/0.88 Z ) =
% 1.75/0.88 ( Y ))).
% 1.75/0.88 thf(zip_derived_cl0, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (divide @ identity @
% 1.75/0.88 (divide @ X1 @
% 1.75/0.88 (divide @ X0 @ (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))) @
% 1.75/0.88 X2) = (X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 1.75/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [identity])).
% 1.75/0.88 thf(zip_derived_cl2, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [inverse])).
% 1.75/0.88 thf(zip_derived_cl2, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [inverse])).
% 1.75/0.88 thf(zip_derived_cl9, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (inverse @
% 1.75/0.88 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 1.75/0.88 X2) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 1.75/0.88 zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl9, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (inverse @
% 1.75/0.88 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 1.75/0.88 X2) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 1.75/0.88 zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl10, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.75/0.88 ((divide @ (inverse @ (divide @ X2 @ X0)) @ X1)
% 1.75/0.88 = (inverse @
% 1.75/0.88 (divide @ X3 @
% 1.75/0.88 (divide @ X0 @
% 1.75/0.88 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1))))))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 1.75/0.88 thf(zip_derived_cl43, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (inverse @
% 1.75/0.88 (divide @ X1 @
% 1.75/0.88 (divide @ (inverse @ X2) @ (divide @ (inverse @ X1) @ X0)))) @
% 1.75/0.88 X0) = (inverse @ (divide @ X2 @ identity)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 1.75/0.88 thf(zip_derived_cl9, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (inverse @
% 1.75/0.88 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 1.75/0.88 X2) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 1.75/0.88 zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [identity])).
% 1.75/0.88 thf(zip_derived_cl2, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [inverse])).
% 1.75/0.88 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl6, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl22, plain,
% 1.75/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl56, plain,
% 1.75/0.88 (![X2 : $i]: ((inverse @ X2) = (inverse @ (multiply @ X2 @ identity)))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl43, zip_derived_cl9, zip_derived_cl22])).
% 1.75/0.88 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl9, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (inverse @
% 1.75/0.88 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 1.75/0.88 X2) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 1.75/0.88 zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl23, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (inverse @
% 1.75/0.88 (divide @ identity @ (divide @ X0 @ (divide @ identity @ X1)))) @
% 1.75/0.88 X1) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl9])).
% 1.75/0.88 thf(zip_derived_cl2, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [inverse])).
% 1.75/0.88 thf(zip_derived_cl6, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl2, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.75/0.88 inference('cnf', [status(esa)], [inverse])).
% 1.75/0.88 thf(zip_derived_cl24, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((divide @ (inverse @ (inverse @ (multiply @ X0 @ X1))) @ X1) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl23, zip_derived_cl2, zip_derived_cl6,
% 1.75/0.88 zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl22, plain,
% 1.75/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl122, plain,
% 1.75/0.88 (![X0 : $i]:
% 1.75/0.88 ((multiply @ (inverse @ (inverse @ (multiply @ X0 @ identity))) @
% 1.75/0.88 identity) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl22])).
% 1.75/0.88 thf(zip_derived_cl56, plain,
% 1.75/0.88 (![X2 : $i]: ((inverse @ X2) = (inverse @ (multiply @ X2 @ identity)))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl43, zip_derived_cl9, zip_derived_cl22])).
% 1.75/0.88 thf(zip_derived_cl141, plain,
% 1.75/0.88 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl56])).
% 1.75/0.88 thf(zip_derived_cl150, plain,
% 1.75/0.88 (![X0 : $i]:
% 1.75/0.88 ((multiply @ (inverse @ (inverse @ X0)) @ identity)
% 1.75/0.88 = (multiply @ X0 @ identity))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl141, plain,
% 1.75/0.88 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl56])).
% 1.75/0.88 thf(zip_derived_cl152, plain,
% 1.75/0.88 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl141, plain,
% 1.75/0.88 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl56])).
% 1.75/0.88 thf(zip_derived_cl160, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl202, plain,
% 1.75/0.88 ((((a2) != (a2))
% 1.75/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.75/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl160])).
% 1.75/0.88 thf(zip_derived_cl203, plain,
% 1.75/0.88 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.75/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.75/0.88 inference('simplify', [status(thm)], [zip_derived_cl202])).
% 1.75/0.88 thf(zip_derived_cl160, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl22, plain,
% 1.75/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl10, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.75/0.88 ((divide @ (inverse @ (divide @ X2 @ X0)) @ X1)
% 1.75/0.88 = (inverse @
% 1.75/0.88 (divide @ X3 @
% 1.75/0.88 (divide @ X0 @
% 1.75/0.88 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1))))))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 1.75/0.88 thf(zip_derived_cl48, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((divide @ (inverse @ (divide @ X0 @ X2)) @ identity)
% 1.75/0.88 = (inverse @
% 1.75/0.88 (divide @ X1 @
% 1.75/0.88 (divide @ X2 @
% 1.75/0.88 (divide @ (inverse @ X1) @
% 1.75/0.88 (multiply @ (inverse @ X0) @ identity))))))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl10])).
% 1.75/0.88 thf(zip_derived_cl22, plain,
% 1.75/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl60, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((multiply @ (inverse @ (divide @ X0 @ X2)) @ identity)
% 1.75/0.88 = (inverse @
% 1.75/0.88 (divide @ X1 @
% 1.75/0.88 (divide @ X2 @
% 1.75/0.88 (divide @ (inverse @ X1) @
% 1.75/0.88 (multiply @ (inverse @ X0) @ identity))))))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl22])).
% 1.75/0.88 thf(zip_derived_cl160, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl6, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl207, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl24, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((divide @ (inverse @ (inverse @ (multiply @ X0 @ X1))) @ X1) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl23, zip_derived_cl2, zip_derived_cl6,
% 1.75/0.88 zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl160, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl201, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl160])).
% 1.75/0.88 thf(zip_derived_cl6, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl237, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl22, plain,
% 1.75/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl152, plain,
% 1.75/0.88 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl153, plain,
% 1.75/0.88 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl152])).
% 1.75/0.88 thf(zip_derived_cl9, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (inverse @
% 1.75/0.88 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 1.75/0.88 X2) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 1.75/0.88 zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl221, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((divide @
% 1.75/0.88 (inverse @ (divide @ X0 @ (divide @ X1 @ (inverse @ X0)))) @
% 1.75/0.88 identity) = (X1))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl9])).
% 1.75/0.88 thf(zip_derived_cl6, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl153, plain,
% 1.75/0.88 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl152])).
% 1.75/0.88 thf(zip_derived_cl227, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((inverse @ (divide @ X0 @ (multiply @ X1 @ X0))) = (X1))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl221, zip_derived_cl6, zip_derived_cl153])).
% 1.75/0.88 thf(zip_derived_cl207, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl294, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((inverse @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))) = (X1))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl227, zip_derived_cl207])).
% 1.75/0.88 thf(zip_derived_cl160, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl296, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((inverse @ X0) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl160])).
% 1.75/0.88 thf(zip_derived_cl364, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((inverse @ (multiply @ X0 @ (inverse @ X1)))
% 1.75/0.88 = (multiply @ X1 @ (inverse @ X0)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl296])).
% 1.75/0.88 thf(zip_derived_cl152, plain,
% 1.75/0.88 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl152, plain,
% 1.75/0.88 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl160, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl237, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl259, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl237])).
% 1.75/0.88 thf(zip_derived_cl296, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((inverse @ X0) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl160])).
% 1.75/0.88 thf(zip_derived_cl237, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl357, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl237])).
% 1.75/0.88 thf(zip_derived_cl201, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl160])).
% 1.75/0.88 thf(zip_derived_cl376, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((divide @ X0 @ (multiply @ X1 @ X0)) = (inverse @ X1))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl357, zip_derived_cl201])).
% 1.75/0.88 thf(zip_derived_cl426, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((divide @ (inverse @ X1) @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl376])).
% 1.75/0.88 thf(zip_derived_cl426, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((divide @ (inverse @ X1) @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl376])).
% 1.75/0.88 thf(zip_derived_cl6, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.75/0.88 thf(zip_derived_cl438, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ (inverse @ X0) @ X1)
% 1.75/0.88 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl207, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl438, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ (inverse @ X0) @ X1)
% 1.75/0.88 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl207, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl364, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((inverse @ (multiply @ X0 @ (inverse @ X1)))
% 1.75/0.88 = (multiply @ X1 @ (inverse @ X0)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl296])).
% 1.75/0.88 thf(zip_derived_cl911, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((multiply @ X2 @ (inverse @ X0))
% 1.75/0.88 = (multiply @ (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 1.75/0.88 (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)],
% 1.75/0.88 [zip_derived_cl60, zip_derived_cl207, zip_derived_cl364,
% 1.75/0.88 zip_derived_cl152, zip_derived_cl152, zip_derived_cl426,
% 1.75/0.88 zip_derived_cl438, zip_derived_cl207, zip_derived_cl438,
% 1.75/0.88 zip_derived_cl207, zip_derived_cl364])).
% 1.75/0.88 thf(zip_derived_cl945, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((multiply @ X2 @ (inverse @ (inverse @ X0)))
% 1.75/0.88 = (multiply @ (multiply @ X2 @ (multiply @ X0 @ X1)) @
% 1.75/0.88 (inverse @ X1)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl911])).
% 1.75/0.88 thf(zip_derived_cl160, plain,
% 1.75/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl141])).
% 1.75/0.88 thf(zip_derived_cl963, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((multiply @ X2 @ X0)
% 1.75/0.88 = (multiply @ (multiply @ X2 @ (multiply @ X0 @ X1)) @
% 1.75/0.88 (inverse @ X1)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl945, zip_derived_cl160])).
% 1.75/0.88 thf(zip_derived_cl237, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i]:
% 1.75/0.88 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl6])).
% 1.75/0.88 thf(zip_derived_cl1143, plain,
% 1.75/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/0.88 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 1.75/0.88 = (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 1.75/0.88 inference('sup+', [status(thm)], [zip_derived_cl963, zip_derived_cl237])).
% 1.75/0.88 thf(zip_derived_cl1201, plain,
% 1.75/0.88 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.75/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.75/0.88 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl1143])).
% 1.75/0.88 thf(zip_derived_cl1202, plain, ($false),
% 1.75/0.88 inference('simplify', [status(thm)], [zip_derived_cl1201])).
% 1.75/0.88
% 1.75/0.88 % SZS output end Refutation
% 1.75/0.88
% 1.75/0.88
% 1.75/0.88 % Terminating...
% 2.34/0.96 % Runner terminated.
% 2.34/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------