TSTP Solution File: GRP551-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP551-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mRZmdMsa7h true
% Computer : n012.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 01:52:04 EDT 2023
% Result : Unsatisfiable 1.29s 1.11s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP551-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mRZmdMsa7h true
% 0.13/0.35 % Computer : n012.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 22:32:39 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
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /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
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.11 % Solved by fo/fo6_bce.sh.
% 1.29/1.11 % BCE start: 5
% 1.29/1.11 % BCE eliminated: 0
% 1.29/1.11 % PE start: 5
% 1.29/1.11 logic: eq
% 1.29/1.11 % PE eliminated: 0
% 1.29/1.11 % done 175 iterations in 0.353s
% 1.29/1.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/1.11 % SZS output start Refutation
% 1.29/1.11 thf(c3_type, type, c3: $i).
% 1.29/1.11 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.29/1.11 thf(b3_type, type, b3: $i).
% 1.29/1.11 thf(a3_type, type, a3: $i).
% 1.29/1.11 thf(identity_type, type, identity: $i).
% 1.29/1.11 thf(divide_type, type, divide: $i > $i > $i).
% 1.29/1.11 thf(prove_these_axioms_3, conjecture,
% 1.29/1.11 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 1.29/1.11 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 1.29/1.11 thf(zf_stmt_0, negated_conjecture,
% 1.29/1.11 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.29/1.11 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 1.29/1.11 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 1.29/1.11 thf(zip_derived_cl4, plain,
% 1.29/1.11 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.29/1.11 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.29/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/1.11 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 1.29/1.11 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [identity])).
% 1.29/1.11 thf(multiply, axiom,
% 1.29/1.11 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl18, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(single_axiom, axiom,
% 1.29/1.11 (( divide @
% 1.29/1.11 ( divide @ identity @ A ) @
% 1.29/1.11 ( divide @ ( divide @ ( divide @ B @ A ) @ C ) @ B ) ) =
% 1.29/1.11 ( C ))).
% 1.29/1.11 thf(zip_derived_cl0, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X1) @
% 1.29/1.11 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 1.29/1.11 thf(zip_derived_cl12, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ (divide @ identity @ X0)) @
% 1.29/1.11 (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1)) = (X2))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl20, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (multiply @ identity @ X0) @
% 1.29/1.11 (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1)) = (X2))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl99, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((divide @ (multiply @ identity @ identity) @
% 1.29/1.11 (divide @ (divide @ (divide @ X0 @ identity) @ X1) @ X0)) = (
% 1.29/1.11 X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl20])).
% 1.29/1.11 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [identity])).
% 1.29/1.11 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [identity])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl17, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl23, plain,
% 1.29/1.11 (((multiply @ identity @ identity) = (identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl17])).
% 1.29/1.11 thf(zip_derived_cl0, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X1) @
% 1.29/1.11 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 1.29/1.11 thf(zip_derived_cl0, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X1) @
% 1.29/1.11 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 1.29/1.11 thf(zip_derived_cl6, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X2) @ (divide @ X0 @ identity))
% 1.29/1.11 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.29/1.11 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [identity])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl107, plain,
% 1.29/1.11 (![X1 : $i]: ((multiply @ identity @ (divide @ X1 @ identity)) = (X1))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl99, zip_derived_cl23, zip_derived_cl6,
% 1.29/1.11 zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [identity])).
% 1.29/1.11 thf(zip_derived_cl20, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (multiply @ identity @ X0) @
% 1.29/1.11 (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1)) = (X2))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl95, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((divide @ (multiply @ identity @ X0) @ (divide @ identity @ X1))
% 1.29/1.11 = (multiply @ X1 @ X0))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl20])).
% 1.29/1.11 thf(zip_derived_cl141, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((divide @ X0 @ (divide @ identity @ X1))
% 1.29/1.11 = (multiply @ X1 @ (divide @ X0 @ identity)))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl95])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl146, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (multiply @ X1 @ (divide @ X0 @ identity)))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl18, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl146, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (multiply @ X1 @ (divide @ X0 @ identity)))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl107, plain,
% 1.29/1.11 (![X1 : $i]: ((multiply @ identity @ (divide @ X1 @ identity)) = (X1))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl99, zip_derived_cl23, zip_derived_cl6,
% 1.29/1.11 zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl190, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl107])).
% 1.29/1.11 thf(zip_derived_cl195, plain,
% 1.29/1.11 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl190])).
% 1.29/1.11 thf(zip_derived_cl225, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl248, plain,
% 1.29/1.11 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 1.29/1.11 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl225])).
% 1.29/1.11 thf(zip_derived_cl195, plain,
% 1.29/1.11 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl190])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl6, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X2) @ (divide @ X0 @ identity))
% 1.29/1.11 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.29/1.11 thf(zip_derived_cl79, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ (divide @ identity @ X0)) @
% 1.29/1.11 (divide @ X2 @ identity))
% 1.29/1.11 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl81, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (multiply @ identity @ X0) @ (divide @ X2 @ identity))
% 1.29/1.11 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl107, plain,
% 1.29/1.11 (![X1 : $i]: ((multiply @ identity @ (divide @ X1 @ identity)) = (X1))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl99, zip_derived_cl23, zip_derived_cl6,
% 1.29/1.11 zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl17, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl24, plain,
% 1.29/1.11 (![X0 : $i]:
% 1.29/1.11 ((multiply @ (multiply @ identity @ X0) @ (divide @ identity @ X0))
% 1.29/1.11 = (identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 1.29/1.11 thf(zip_derived_cl116, plain,
% 1.29/1.11 (![X0 : $i]:
% 1.29/1.11 ((multiply @ X0 @ (divide @ identity @ (divide @ X0 @ identity)))
% 1.29/1.11 = (identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl24])).
% 1.29/1.11 thf(zip_derived_cl95, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((divide @ (multiply @ identity @ X0) @ (divide @ identity @ X1))
% 1.29/1.11 = (multiply @ X1 @ X0))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl20])).
% 1.29/1.11 thf(zip_derived_cl139, plain,
% 1.29/1.11 (![X0 : $i]:
% 1.29/1.11 ((divide @ identity @ (divide @ identity @ X0))
% 1.29/1.11 = (multiply @ X0 @
% 1.29/1.11 (divide @ identity @ (divide @ identity @ identity))))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl95])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [identity])).
% 1.29/1.11 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [identity])).
% 1.29/1.11 thf(zip_derived_cl18, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl144, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ identity @ X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl139, zip_derived_cl1, zip_derived_cl3,
% 1.29/1.11 zip_derived_cl3, zip_derived_cl18])).
% 1.29/1.11 thf(zip_derived_cl195, plain,
% 1.29/1.11 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl190])).
% 1.29/1.11 thf(zip_derived_cl224, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl144, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl195, plain,
% 1.29/1.11 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl190])).
% 1.29/1.11 thf(zip_derived_cl661, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ X0 @ X2)
% 1.29/1.11 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl81, zip_derived_cl224, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl681, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((divide @ X0 @ identity) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl661])).
% 1.29/1.11 thf(zip_derived_cl195, plain,
% 1.29/1.11 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl190])).
% 1.29/1.11 thf(zip_derived_cl692, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl681, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl661, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ X0 @ X2)
% 1.29/1.11 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl81, zip_derived_cl224, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl116, plain,
% 1.29/1.11 (![X0 : $i]:
% 1.29/1.11 ((multiply @ X0 @ (divide @ identity @ (divide @ X0 @ identity)))
% 1.29/1.11 = (identity))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl24])).
% 1.29/1.11 thf(zip_derived_cl0, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X1) @
% 1.29/1.11 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 1.29/1.11 thf(zip_derived_cl0, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X1) @
% 1.29/1.11 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 1.29/1.11 thf(zip_derived_cl0, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X1) @
% 1.29/1.11 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 1.29/1.11 thf(zip_derived_cl5, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.11 ((divide @
% 1.29/1.11 (divide @ identity @
% 1.29/1.11 (divide @ (divide @ (divide @ X3 @ X2) @ X0) @ X3)) @
% 1.29/1.11 (divide @ (divide @ X0 @ X1) @ (divide @ identity @ X2))) = (
% 1.29/1.11 X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl27, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.11 ((divide @
% 1.29/1.11 (divide @ identity @
% 1.29/1.11 (divide @ (divide @ (divide @ X3 @ X2) @ X0) @ X3)) @
% 1.29/1.11 (multiply @ (divide @ X0 @ X1) @ X2)) = (X1))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl37, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/1.11 ((divide @
% 1.29/1.11 (divide @ identity @
% 1.29/1.11 (divide @
% 1.29/1.11 (divide @ (divide @ X4 @ X3) @ (divide @ identity @ X2)) @ X4)) @
% 1.29/1.11 (multiply @ X0 @ X3))
% 1.29/1.11 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl27])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl48, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/1.11 ((divide @
% 1.29/1.11 (divide @ identity @
% 1.29/1.11 (divide @ (multiply @ (divide @ X4 @ X3) @ X2) @ X4)) @
% 1.29/1.11 (multiply @ X0 @ X3))
% 1.29/1.11 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl6, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ X2) @ (divide @ X0 @ identity))
% 1.29/1.11 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.29/1.11 thf(zip_derived_cl157, plain,
% 1.29/1.11 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/1.11 ((divide @
% 1.29/1.11 (divide @ identity @
% 1.29/1.11 (divide @ (multiply @ (divide @ X4 @ X3) @ X2) @ X4)) @
% 1.29/1.11 (multiply @ X0 @ X3))
% 1.29/1.11 = (divide @ (divide @ identity @ X2) @ (divide @ X0 @ identity)))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl6])).
% 1.29/1.11 thf(zip_derived_cl168, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ (divide @ identity @ X2)) @
% 1.29/1.11 (multiply @ X0 @ X1))
% 1.29/1.11 = (divide @
% 1.29/1.11 (divide @ identity @
% 1.29/1.11 (divide @ identity @ (divide @ (divide @ X2 @ X1) @ identity))) @
% 1.29/1.11 (divide @ X0 @ identity)))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl157])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl144, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ identity @ X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl139, zip_derived_cl1, zip_derived_cl3,
% 1.29/1.11 zip_derived_cl3, zip_derived_cl18])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl107, plain,
% 1.29/1.11 (![X1 : $i]: ((multiply @ identity @ (divide @ X1 @ identity)) = (X1))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl99, zip_derived_cl23, zip_derived_cl6,
% 1.29/1.11 zip_derived_cl3, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl179, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ X2 @ identity) @ (multiply @ X0 @ X1))
% 1.29/1.11 = (divide @ (divide @ X2 @ X1) @ (divide @ X0 @ identity)))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl168, zip_derived_cl1, zip_derived_cl144,
% 1.29/1.11 zip_derived_cl1, zip_derived_cl107])).
% 1.29/1.11 thf(zip_derived_cl195, plain,
% 1.29/1.11 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl190])).
% 1.29/1.11 thf(zip_derived_cl195, plain,
% 1.29/1.11 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl190])).
% 1.29/1.11 thf(zip_derived_cl1187, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ X2 @ (multiply @ X0 @ X1))
% 1.29/1.11 = (divide @ (divide @ X2 @ X1) @ X0))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl179, zip_derived_cl195, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl692, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl681, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl706, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ (multiply @ (divide @ identity @ X1) @ X0) @ X1) = (X0))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl692, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl190, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl107])).
% 1.29/1.11 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.29/1.11 inference('cnf', [status(esa)], [identity])).
% 1.29/1.11 thf(zip_derived_cl27, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.11 ((divide @
% 1.29/1.11 (divide @ identity @
% 1.29/1.11 (divide @ (divide @ (divide @ X3 @ X2) @ X0) @ X3)) @
% 1.29/1.11 (multiply @ (divide @ X0 @ X1) @ X2)) = (X1))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl40, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (divide @ identity @ (divide @ identity @ X2)) @
% 1.29/1.11 (multiply @ (divide @ (divide @ X2 @ X1) @ X0) @ X1)) = (X0))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl27])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl50, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ (multiply @ identity @ X2) @
% 1.29/1.11 (multiply @ (divide @ (divide @ X2 @ X1) @ X0) @ X1)) = (X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl224, plain,
% 1.29/1.11 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl144, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl231, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((divide @ X2 @ (multiply @ (divide @ (divide @ X2 @ X1) @ X0) @ X1))
% 1.29/1.11 = (X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl224])).
% 1.29/1.11 thf(zip_derived_cl236, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((divide @ X1 @ (divide @ (divide @ X1 @ identity) @ X0)) = (X0))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl231])).
% 1.29/1.11 thf(zip_derived_cl195, plain,
% 1.29/1.11 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl190])).
% 1.29/1.11 thf(zip_derived_cl245, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl1, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.29/1.11 inference('cnf', [status(esa)], [multiply])).
% 1.29/1.11 thf(zip_derived_cl398, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((multiply @ X1 @ (divide @ identity @ X0)) = (divide @ X1 @ X0))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl245, zip_derived_cl1])).
% 1.29/1.11 thf(zip_derived_cl225, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl487, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]:
% 1.29/1.11 ((divide @ X1 @ X0) = (multiply @ (divide @ identity @ X0) @ X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl225])).
% 1.29/1.11 thf(zip_derived_cl225, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl717, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X1)) = (X0))),
% 1.29/1.11 inference('demod', [status(thm)],
% 1.29/1.11 [zip_derived_cl706, zip_derived_cl487, zip_derived_cl225])).
% 1.29/1.11 thf(zip_derived_cl1192, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((multiply @ (multiply @ X0 @ X1) @ (divide @ (divide @ X2 @ X1) @ X0))
% 1.29/1.11 = (X2))),
% 1.29/1.11 inference('s_sup+', [status(thm)],
% 1.29/1.11 [zip_derived_cl1187, zip_derived_cl717])).
% 1.29/1.11 thf(zip_derived_cl1605, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((multiply @ (multiply @ X2 @ X0) @ (divide @ X1 @ X0))
% 1.29/1.11 = (multiply @ X2 @ X1))),
% 1.29/1.11 inference('s_sup+', [status(thm)],
% 1.29/1.11 [zip_derived_cl661, zip_derived_cl1192])).
% 1.29/1.11 thf(zip_derived_cl1706, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 1.29/1.11 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 1.29/1.11 inference('s_sup+', [status(thm)],
% 1.29/1.11 [zip_derived_cl692, zip_derived_cl1605])).
% 1.29/1.11 thf(zip_derived_cl225, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl195])).
% 1.29/1.11 thf(zip_derived_cl1749, plain,
% 1.29/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.11 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 1.29/1.11 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 1.29/1.11 inference('s_sup+', [status(thm)],
% 1.29/1.11 [zip_derived_cl1706, zip_derived_cl225])).
% 1.29/1.11 thf(zip_derived_cl1982, plain,
% 1.29/1.11 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.29/1.11 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.29/1.11 inference('demod', [status(thm)], [zip_derived_cl248, zip_derived_cl1749])).
% 1.29/1.11 thf(zip_derived_cl1983, plain, ($false),
% 1.29/1.11 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 1.29/1.11
% 1.29/1.11 % SZS output end Refutation
% 1.29/1.11
% 1.29/1.11
% 1.29/1.11 % Terminating...
% 1.29/1.18 % Runner terminated.
% 1.81/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------